Of all the fish in a certain river, 20 percent are salmon. Once a year, people can purchase a fishing license that allows them to catch up to 8 fish. Assume each catch is independent. Which of the following represents the probability of needing to catch 8 fish to get the first salmon? A. 0.2 B 1/0.2 C. 0.2^8 D 0.2 (0.8)^7
E. 0.8 (0.2)^7

Answers

Answer 1

The probability of needing to catch 8 fish to get the first salmon is D) 0.2 (0.8)^7.

How to calculate probability of needing to catch 8 fish to get the first salmon?

Given that he probability of fishing a salmon in a certain river is 20% i.e. 0.2. Now, the probability of not getting a salmon will be

1 - probability of not getting salmon  = 1 - 0.2 = 0.8.

So, the first fish should be salmon and the others should not be salmon. So, the required probability of independent events can be calculated as,

P =0.2×0.8×0.8×0.8×0.8×0.8×0.8×0.8×0.8

P = 0.2× (0.8)^7

Hence,the probability of needing to catch 8 fish to get the first salmon is 0.2 (0.8)^7.

The probability of needing to catch 8 fish to get the first salmon is D) 0.2 (0.8)^7.

To know more about probability, check out:

brainly.com/question/25870256

#SPJ4


Related Questions

An insurance company is reviewing its current policy rates. When originally setting the rates they believed that the average claim amount was $1,800. Now there are concerns that if the true mean is actually higher than this they could potentially lose a lot of money. They randomly select 40 claims, and calculate a sample mean of $1,950. Assuming that the standard deviation of claims is $500, and set significance level = :05, test to see if the insurance company should be concerned.

Answers

So, the insurance company should be concerned that they could potentially lose money.

To test whether the insurance company should be concerned about the true mean claim amount being higher than the original estimate of $1,800, we can perform a one-sample t-test.

The null hypothesis for this test is that the true mean claim amount is equal to the original estimate of $1,800, and the alternative hypothesis is that the true mean claim amount is greater than the original estimate.

The t-statistic for this test is calculated as follows:

t = (sample mean - null mean) / (standard deviation / sqrt(sample size))

Plugging in the values from the problem, we have:

t = ($1,950 - $1,800) / ($500 / sqrt(40)) = 2.5.

We can then use a t-table or a computer to find the critical value of t for a one-tailed t-test with 39 degrees of freedom and a significance level of 0.05. The critical value is 1.68.

Since the calculated t-value of 2.5 is greater than the critical value, we can reject the null hypothesis and conclude that the true mean claim amount is significantly greater than the original estimate of $1,800.

Therefore, the insurance company should be concerned that they could potentially lose money.

To learn more about Hypothesis Testing,

visit; brainly.com/question/17099835

#SPJ4

To test whether the insurance company should be concerned about the true mean claim amount being higher than the original estimate of $1,800, we can perform a one-sample t-test.

t = (sample mean - null mean) / (standard deviation / sqrt(sample size))

Plugging in the values from the problem, we have:

t = ($1,950 - $1,800) / ($500 / sqrt(40)) = 2.5.

We can then use a t-table or a computer to find the critical value of t for a one-tailed t-test with 39 degrees of freedom and a significance level of 0.05. The critical value is 1.68.

Therefore, the insurance company should be concerned that they could potentially lose money.

Which of the following number sentences is true?
A. 40 -2 × 3² = 4
C. 40 -2 × 3² = 114

B. 40-2 × 3² = 22
D. 40 -2 × 3² = 360

Answers

Answer:

B

Step-by-step explanation:

First, we compute the exponent (3² = 9).

Next, we compute the multiplication and division (from left to right), so we have (40 - 2 × 9) = (40 - 18) = 22.

Thus, the number sentence 40 -2 × 3² = 22 is true.

B is true .22 is the real answer

A textbook store sold a combined total of 412 chemistry and math textbooks in a week. The number of chemistry textbooks sold was three times the number of math textbooks sold. How many textbooks of each type were sold?

Answers

Answer:

309 chemistry textbooks and 103 math textbooks.

Step-by-step explanation:

Let c be the number of chemistry textbooks sold and m be the number of math textbooks sold. We know that c + m = 412, because the total number of textbooks sold is 412. We also know that c = 3m, because the number of chemistry textbooks sold is three times the number of math textbooks sold.

We can substitute 3m for c in the first equation to get 3m + m = 412. This simplifies to 4m = 412. Dividing both sides by 4 gives us m = 103.

Since we know that c = 3m, the number of chemistry textbooks sold is 3 * 103 = 309. Therefore, the store sold 309 chemistry textbooks and 103 math textbooks.

Think of two numbers that multiply to -24, but add to -14.

Answers

Answer:

x  =  -7 + √(73)

y  =  -7 - √(73)

Step-by-step explanation:

Product p = x × y = -24

Somme s = x + y = -14

Then

x and y are solutions to the equation:

z² - sz + p = 0

Then

x and y are solutions to the equation:

z² + 14z - 24 = 0

Using the quadratic formula:

x  =  ( -14 + √[(14² - 4×(1)×(-24)] ) / ( 2×(1) )  =  -7 + √(73)

and

y  =  ( -14 - √[(14² - 4×(1)×(-24)] ) / ( 2×(1) )  =  -7 - √(73)

−1+log 6 ​ (2x+3)−log 6 ​ (2x)=0

Answers

Answer:

Step-by-step explanation:

Let us solve the equation for X-

-1+log 6 (2x+3)-log 6 (2x)=0

adding +1 to both sides-

-1+1+log 6(2x+3)-log 6 (2x)=0+1

log 6(2x+3)-log 6 (2x)=1 . . . (1)

using logarithmic rule,

log a - log b= log(a/b)

equation (1) becomes,

log [6(2x+3)/6(2x)]=1 . . .(2)

equation (2) becomes,

log[(2x+3)/2x]=1....(3)

Again using the logarithmic rule,

log a = b

is equivalent to 10∧b = a

hence equation 3 becomes,

10∧1= (2x+3)/2x

i.e. 10 = (2x+3)/2x. . .(4)

multiplying both sides by 2x, considering x is not 0.

equation( 4) becomes

20x = 2x+3. . .(5)

subtracting 2x from both sides

equation (5) becomes,

18x=3

dividing both sides by 3,

we get,

x=6

Hence value of x is 6.

read more about the logarithmic rule:-

https://brainly.com/question/29200864?referrer=searchResults

find a direct relationship between x and y.
x=t-5 and y=t^2-6t

Answers

The direct relationship of the variables is y = (t^2 - 6t)/(t - 5) * x

How to determine the direct relationship?

From the question, we have the following parameters that can be used in our computation:

x = t - 5 and y = t^2 - 6t

The direct relationship between x and y is calculated using

Y = (y/x) * X

Substitute the known values in the above equation, so, we have the following representation

y = (t^2 - 6t)/(t - 5) * x

Hence, the direct relationship is y = (t^2 - 6t)/(t - 5) * x

Read more about direct relationship at

https://brainly.com/question/6499629

#SPJ1

A one-factor ANOVA is used to evaluate the mean differences among four treatment conditions with a sample of n = 12 participants in each group. For this study, what is dfwithin treatments?

Answers

In this case, with four treatment groups and n = 12 participants in each group, dfwithin treatments would be equal to 3, because there are 4 - 1 = 3 treatment groups.

In a one-factor ANOVA, dfwithin treatments refers to the degrees of freedom within the treatment groups, which is a measure of the amount of variability that is present within each group.

The degrees of freedom within the treatment groups is used to calculate the mean square within treatments (MSwithin), which is a measure of the variability within each group. MSwithin is calculated by dividing the sum of the squared differences between each participant's score and the group mean by dfwithin. This value is then used to determine the statistical significance of the treatment effects, by comparing it to the mean square between treatments (MSbetween), which is a measure of the variability between the treatment groups.

In a one-factor ANOVA, the total degrees of freedom is equal to the number of participants in all of the groups combined (4 groups * 12 participants per group = 48) minus the number of groups (48 - 4 = 44). The degrees of freedom between treatments is equal to the number of groups minus 1 (4 - 1 = 3), and the degrees of freedom within treatments is equal to the total degrees of freedom minus the degrees of freedom between treatments (44 - 3 = 41).

Learn more about One-factor ANOVA here:

https://brainly.com/question/23638404

#SPJ4

The base of a triangular piece of fabric is 6 in more than the height. The area is 600 in2. Find the base and height of the triangle

Answers

Answer:

Below in bold.

Step-by-step explanation:

Let the height be h in.

Area of a triangle = 1/2 * base * height

= 1/2 * (h + 6) * h = 600

Multiply both sides by 2:

h(h + 6) = 1200

h^2 + 6h = 1200

(h + 3)^2 - 9 = 1200

(h + 3)^2 = 1209

h + 3 = +/- sqrt(1209

h = -3 +/-sqrt(1209)

  = 31.77 in  (we ignore the negative root).

So, the height is 31.77 in and the base is 37.77 in

A carnival game gives variety bags as prizes. The game operator uses 100 balloons and 68 stickers to put into a certain number of bags. How many balloons and how many stickers can go in each bag if they make the greatest number of bags possible so that each bag has the same number of balloons and the same number of stickers?(1 point)
Responses

25 stickers and 17 balloons
25 stickers and 17 balloons

25 balloons and 17 stickers
25 balloons and 17 stickers

4 balloons and 4 stickers
4 balloons and 4 stickers

50 balloons and 34 stickers
50 balloons and 34 stickers

Answers

Answer:

D is the answer

Step-by-step explanation:

Using bags that will make the balloon and the stickers have the same number in each bag, mere looking at the answers, 100/2 gives you 50 while 68/2 gives you 34. it means that it was splitted equally into the two bags.

pls help i will mark brainliest
Determine the value of y for the inequality 4 times the quantity y plus one fifth end quantity is less than or equal to four fifths.

y ≥ 0

y ≤ 0

y is greater than or equal to negative 1 over 40

y is less than or equal to negative 1 over 40

Answers

The value of y of the inequality 4y + 1/5 ≤ 4/5 is: y ≤ 3/20.

How to Solve an Inequality?

Inequalities can be solved the way a normal algebraic equation is being solved. It is solved by isolating the value of the variable.

The inequality given is, 4y + 1/5 ≤ 4/5. Solve as shown below:

Subtract both sides by 1/5:

4y + 1/5 - 1/5 ≤ 4/5 - 1/5 [subtraction property of equality]

4y ≤ 3/5

Divide both sides by 4:

4y/4 ≤ 3/5 / 4

y ≤ 3/5 × 1/4

y ≤ 3/5 × 1/4

y ≤ (3 × 1) / (5 × 4)

y ≤ 3/20

The value of y is: y ≤ 3/20.

Learn more about inequalities on:

https://brainly.com/question/24372553

#SPJ1

calculate the length of diagonals of a rectangle with dimensions 5 cm × 12 cm​

Answers

Answer:

13

Step-by-step explanation:

5²+12²=25+144=169

square root of 169 = 13

What should be calculated first when finding the value of the following expression?
[(-3) (-8)+6)-(-6 + (-2))
A.8+6
B. (-3) (-8)
C.6+ (-2)
D.-6 -(-6)

Answers

Answer:

A

Step-by-step explanation:

The problem is a little unclear with its format(random bracket) but given the following it should be A even though a parenthesis is missing but with going from left to right with parenthesis first depending on where the extra parenthesis is placed it is either A or B but it looks like there should be one grouping ((-8)+6) so it should be A

The expense function for a manufacturer can be modeled using the equation
E = 1.43q + 43, 123
What is the cost for producing 200 units (q)?

Answers

Answer:

The cost of producing 200 units can be calculated by plugging in 200 for q in the equation E = 1.43q + 43,123. This gives us E = 1.43*200 + 43,123 = 286 + 43,123 = $43,409.

QUESTION DOWN BELOW! PLASE HELP DUE SOON!

Answers

Answer:  its 18 im pretty sure

Step-by-step explanation:

1. Let C be a nonsymmetric n x n matrix. For each of the following, determine whether the given matrix must necessarily be symmetric or could possibly be nonsymmetric:

(a) A= C+CT

(b) B = C-CT

(c) D = CTC

(d) E = CTC - CCT

(e) F = (I +C)(I + CT

(f) G = (I +C)(I -CT)

Answers

Option of the matrices a, b, and d are non symmetric.

What are Symmetric matrices ?

Symmetric matrices are those matrices that have equal dimensions, i.e. the number of rows is same as the number of columns. They are also known as square matrices.

It is provided that A and B are symmetric n × n matrices.

To multiply two matrices of different order, the number of rows of the first matrix must be same as the number of columns of the second matrix.

Suppose X is a 2 × 3 matrix and Y is a 3 × 2.

Then the product AB will be a n × n matrix.

(a) A= C+CT

Thus the sum of matrix A and B will be a n × n matrix.

Thus, the matrix A is non symmetric.

(b) B = C-CT

So, matrix D will also be a n × n matrix.

Thus, the matrix D is non symmetric.

(c) D = CTC = (CT) × C

Then the product CT will be a n × n matrix.

The next step would be to multiply CT and C.

Both are n × n matrices.

Thus, the matrix D is symmetric.

(d) E = CTC - CCT

Then he product CT will be a n × n matrix.

Similarly, the product CT will be a n × n matrix.

Thus, the matrix E is non symmetric.

Similalry,

(e) F = (I +C)(I + CT

Thus, the matrix F is symmetric.

(f) G = (I +C)(I -CT)

Thus, the matrix G is symmetric.

Learn more about the matrix here;

https://brainly.com/question/17367786

#SPJ1

i rlly need help with these questions someone please help

Answers

The perimeter of the shape is 12.82 units

How to determine the perimeter of the shape?

From the question, we have the following parameters that can be used in our computation:

A = (0, 2.76)

B = (3.65, 2.76)

C = (3.65, 0)

D = (0, 0)

Because the point D is at the origin, and the shape is a rectangle.

The perimeter of the shape can be represented as

P = 2 * (Bx + By)

Substitute the known values in the above equation, so, we have the following representation

P = 2* (3.65 + 2.76)

Evaluate

P = 12.82

Hence, the perimeter is 12.82 units

Read more about perimeter at

https://brainly.com/question/24571594

#SPJ1

When planning a more strenuous hike, Brett figures that he will need at least 0.5 liters of water for each hour on the trail. He also plans to always have at least 1.80 liters of water as a general reserve. If x represents the duration of the hike (in hours) and y represents the amount of water needed (in liters) for a hike, the following inequality describes this relation: y> 0.5x + 1.8 Which of the following would be a solution to this situation?
a.) Having 3 liters of water for 4.5 hours of hiking
b.) Having 2 liters of water for 2.5 hours of hiking
c.) Having 4.5 liters of water for 4 hours of hiking
d.) Having 2.5 liters of water for 3 hours of hiking

Answers

Option C is correct,4.5 is greater than 3.8, so this solution does work.

If x represents the number of hours and y represents the number of liters of water, then we can plug the possible solutions into our inequality to see which solution(s) work.

Inequality

In mathematics, an inequality is a relation that makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.  

The first option is having 0.5 liters of water for 4.5 hours of hiking. So will plug 3 in for y and 4.5 in for x:

y > 0.5x + 1.8

3 > 0.5(4.5) + 1.8

3 > 4.05  

But 3 is not greater than 4.05, this solution does not work.

The next option is having 2 liters of water for 2.5 hrs of hiking:

2 > 0.5(2.5) + 1.8  

2 > 3.05

But 2 is not greater than 3.05, so this solution does not work.

Option c is having 4.5 liters of water for 4 hours of hiking:

4.5 > 0.5(4) + 1.8

4.5 > 3.8

So 4.5 is greater than 3.8, this solution does  work.

The last option is having 2.5 liters of water for 3 hours of hiking:

2.5 > 0.5(3) + 1.8

2.5 > 3.3

2.5 is not greater than 3.3, so this solution does not works

Option c is correct,4.5 is greater than 3.8 so this solution does work.

To learn more about Inequality visit:

brainly.com/question/27989101

#SPJ4

y > 0.5x + 1.8

3 > 0.5(4.5) + 1.8

3 > 4.05  

But 3 is not greater than 4.05, this solution does not work.

2 > 0.5(2.5) + 1.8  

2 > 3.05

But 2 is not greater than 3.05, so this solution does not work.

4.5 > 0.5(4) + 1.8

4.5 > 3.8

2.5 > 0.5(3) + 1.8

2.5 > 3.3

2.5 is not greater than 3.3, so this solution does not works

Option c is correct,4.5 is greater than 3.8 so this solution does work.

Makayla wants to make 200 ml of a 18% saline solution but only has access to 8% and 24% saline mixtures. Which of the following system of equations correctly describes this situation if x represents the amount of the 8% solution used, and y represents the amount of the 24% solution used?
O a.) 0.24x +0.08y= 0.18(200) x+y = 200 O b.) 0.08x +0.24y = 200 x+y=0.18(200) O c.) 0.08x+0.24y = 0.18(200) x+y=200 O d.) 0.24x +0.08y = 200 x+y=0.18(200)

Answers

The formulae that specify how much 8% solution and how much 24% solution were utilized are [tex]x+ y=200 and x+3y=450.[/tex]

What is an equation ?

A mathematical equation is a formula that uses the equals symbol (=) to link two expressions and represent their equivalence. A mathematical statement that demonstrates the equality of two mathematical expressions is an equation in algebra, in its most basic form. Consider the equation 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the symbol "equal."

Let x and y be the volume of the 8% and 24% solutions, respectively, that were utilized.

The entire solution volume, as stated in the question, will be 200ml. The resulting equation is: [tex]x +y=200[/tex]

Now that it has been stated that 8%, 18%, and 24% saline mixes would be employed as the solution, the following equation will be:

[tex]0.08x+ 0.24y=0.18*200\\8x/100+24/100=18/100*200\\8x+24y=3600\\\\8(x+3y)=3600\\ x+3y=450\\[/tex]

 

To know more about equation visit:
https://brainly.com/question/649785

#SPJ4

Please help! on their next training run, pepe averaged a speed of 2/3 of a mile in 5 minutes, while paula averaged 1/4 of a mile in 2 minutes. if pepe and paula each ran at their individual pace for 60 minutes, how many total miles did they cumulatively run?

Answers

Answer: 4/3 of a mile

Step-by-step explanation:

To find the distance that Pepe and Paula ran in 60 minutes, we need to first determine their individual pace in miles per minute. Pepe ran 2/3 of a mile in 5 minutes, so his pace was 2/3 / 5 = 2/15 of a mile per minute. Paula ran 1/4 of a mile in 2 minutes, so her pace was 1/4 / 2 = 1/8 of a mile per minute.

We can now use these values to determine the distance that each of them ran in 60 minutes. Pepe ran at a pace of 2/15 of a mile per minute, so he ran 2/15 * 60 = 8/15 of a mile in 60 minutes. Paula ran at a pace of 1/8 of a mile per minute, so she ran 1/8 * 60 = 3/8 of a mile in 60 minutes.

To find the total distance that Pepe and Paula ran in 60 minutes, we can add their individual distances: 8/15 + 3/8 = 35/60 + 45/60 = 80/60 = 4/3 of a mile. Therefore, Pepe and Paula cumulatively ran a total of 4/3 of a mile on their 60-minute training run.

A solution in a book demonstrates the following:


79z = 92x + 9y (values for z, x and y are in between 0 and 10)


Modulo 9, this gives -2z ≡ 2x and by multiplying both sides by 5 gives -z ≡ x. Since 1 ≤ x ≤ 9, we have z = 9 - x.



Can someone please explain how taking Modulo 9 of the equation above leads to these results in detail. Thanks.

Answers

Answer:

In modular arithmetic, the modulo operation is used to find the remainder when one number is divided by another. For example, the expression "9 % 3" would evaluate to 0 because 9 divided by 3 leaves a remainder of 0.

In the given equation, taking the modulo 9 of both sides gives:

79z % 9 ≡ 92x + 9y % 9

The modulo operation distributes over addition, so we can simplify this to:

(79z % 9) ≡ (92x % 9) + (9y % 9)

Since any number divided by 9 has a remainder of itself, we can simplify this further to:

(z % 9) ≡ (2x % 9) + (y % 9)

This gives us the result:

-2z % 9 ≡ 2x % 9

Multiplying both sides by 5 gives:

(-2z % 9) * 5 ≡ (2x % 9) * 5

Which simplifies to:

-z % 9 ≡ x % 9

Since x is between 0 and 10, we know that x % 9 is between 0 and 9. Therefore, we can conclude that z = 9 - x.

how is the circumference of a circle related to the length of its diameter?

Answers

Answer:

"the circumference divided by the diameter"

Step-by-step explanation:

Circles are all similar, and "the circumference divided by the diameter" produces the same value regardless of their radius. This value is the ratio of the circumference of a circle to its diameter and is called π (Pi).

Alfonso is making chili for a get-together.
His recipe calls for 1 1/2 cups of diced tomatoes for every 3 cups of chili.
He wants to make 13 cups of chili.
How many cups of diced tomatoes should he put in the chili?
Answer is a mixed number

Answers

The cups of diced tomatoes the Alfonso should put in the chili is 6 1/2 cups.

How to calculate the number of cups?

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

Let the number of cups be x.

Based on the information, this will be illustrated as:

1.5 / x = 3/13

Cross multiply

3x = 13 × 1.5

3x = 19.5

Divide

x = 19.5 / 3

x = 6 1/2

The cups needed is 6 1/2 cups.

Learn more about fractions on:

brainly.com/question/78672

#SPJ1

How many factor pairs does the number 84 have?

Answers

84 has 6 factor pairs.

(1, 84) (2, 36) (3, 28) (4, 21) (6, 14) (7, 12)

Finley mows 1 lawn every 12 minutes. If his rate of lawn mowing remains the same, which method could be used to determine the number of minutes for him to mow 6 lawns? Responses

Answers

Answer:

6(12), multiplication

Step-by-step explanation:

Since it takes 12 minutes to mow one lawn, multiplying would give you the answer of how long 6 lawns would take, which is 72

In a certain city, there are about one million eligible voters. A simple random sample of size 10,000 was chosen to study the relationship between gender and participation in the last election. The results were:
Men Women
Voted 2366
3611
Didn't Vote 1499
2524
If we are testing for a relationship between gender and participation in the last election, what is the p-value and decision at the 5% significance level? Select the [p-value, Decision to Reject (RH0) or Failure to Reject (FRH0)]
a) [p-value = 0.019, RH0]
b) [p-value = 0.140, RH0]
c) [p-value = 0.019, FRH0]
d) [p-value = 0.010, RH0]
e) [p-value = 0.140, FRH0]

Answers

An invalid speculation is a sort of measurable theory that suggests that no factual importance exists in a bunch of offered viewpoints.

Speculation testing is utilized to evaluate the validity of a speculation by utilizing test information. It is represented as H0, and it is sometimes referred to as the "null."

Give the null hypotheses a name.

Negative hypothesis:

H. There is no correlation between gender and election participation.

Other possibilities:

H: Gender and participation in the most recent election are linked.

Rule of rejection:

To learn more about null hypotheses here

https://brainly.com/question/28331914

#SPJ4

find the values of the variable, giving brief reasons for your answers.

please help me with the answer. thank you.​

Answers

Answer:

a= 108 degrees

b=88 degrees

c= 90 degrees

d= 90 degrees

Step-by-step explanation:

For a degrees since 72 degrees and a degrees make a straight angle:

180-72= a

So, a=108 degrees

Same goes for b degrees:

180-92=b

So, b=88 degrees

For c degrees, you need to know that the sum of the angles in a quadrilateral equal to 360 degrees.

So, 74+a+b+c=360

= 360- (74+108+88)=c

= 90 degrees= c

So since d degrees and c degrees make a straight angle,

180-90=d

90 degrees= d

Suppose that the scores of bowlers in a particular league follow a normal distribution such that the standard deviation of the population is 12 . Find the 95% confidence interval of the mean score for all bowlers in this league using the accompanying data set of 40 random scores. Round your answers to two decimal places and use ascending order.
Score
96
103
94
105
91
101
99
89
94
91
82
94
97
99
89
107
97
100
96
92
96
95
99
90
84
97
99
87
102
92
91
90
88
103
94
90
98
91
87
91

Answers

Mean = 95.125

Variance = 198.90625

Standard deviation = 14.06,

Confidence interval = 95.125 +/- 3.45

To find the 95% confidence interval of the mean score for all bowlers in this league, we need to first calculate the sample mean and sample standard deviation of the given data set.

The sample mean is calculated as follows:

mean = (96 + 103 + 94 + 105 + 91 + 101 + 99 + 89 + 94 + 91 + 82 + 94 + 97 + 99 + 89 + 107 + 97 + 100 + 96 + 92 + 96 + 95 + 99 + 90 + 84 + 97 + 99 + 87 + 102 + 92 + 91 + 90 + 88 + 103 + 94 + 90 + 98 + 91 + 87) / 40

mean = 95.125

The sample standard deviation is calculated as follows:

First, we need to calculate the variance of the data set, which is done by taking the sum of the squared differences between each score and the mean, and dividing by the sample size minus 1:

variance = ((96 - 95.125)^2 + (103 - 95.125)^2 + (94 - 95.125)^2 + (105 - 95.125)^2 + (91 - 95.125)^2 + (101 - 95.125)^2 + (99 - 95.125)^2 + (89 - 95.125)^2 + (94 - 95.125)^2 + (91 - 95.125)^2 + (82 - 95.125)^2 + (94 - 95.125)^2 + (97 - 95.125)^2 + (99 - 95.125)^2 + (89 - 95.125)^2 + (107 - 95.125)^2 + (97 - 95.125)^2 + (100 - 95.125)^2 + (96 - 95.125)^2 + (92 - 95.125)^2 + (96 - 95.125)^2 + (95 - 95.125)^2 + (99 - 95.125)^2 + (90 - 95.125)^2 + (84 - 95.125)^2 + (97 - 95.125)^2 + (99 - 95.125)^2 + (87 - 95.125)^2 + (102 - 95.125)^2 + (92 - 95.125)^2 + (91 - 95.125)^2 + (90 - 95.125)^2 + (88 - 95.125)^2 + (103 - 95.125)^2 + (94 - 95.125)^2 + (90 - 95.125)^2 + (98 - 95.125)^2 + (91 - 95.125)^2 + (87 - 95.125)^2) / (40 - 1)

variance = 198.90625

The sample standard deviation is then the square root of the variance:

standard deviation = sqrt(198.90625)

standard deviation = 14.06

Now that we have the sample mean and sample standard deviation, we can use these values to calculate the 95% confidence interval of the mean score for all bowlers in this league.

We can use the following formula to calculate the confidence interval:

confidence interval = mean +/- (1.96 * (standard deviation / sqrt(sample size)))

Substituting in the values we calculated above, we get:

confidence interval = 95.125 +/- (1.96 * (14.06 / sqrt(40)))

Hence , confidence interval = 95.125 +/- 3.45

Learn more about normal distribution here:

https://brainly.com/question/4079902

#SPJ4

Answer:

(90.78, 98.22)

Step-by-step explanation:

A 95% confidence interval for μ is (x¯−zα/2σn‾√,x¯+zα/2σn‾√). Here, α=0.05, σ=12, and n=40. Use Excel to calculate the 95% confidence interval.1. Open Excel, enter the given data in column A, and find the sample mean, x¯, using the AVERAGE function. Thus, the sample mean is x¯=94.5.2. Click on any empty cell, enter =CONFIDENCE.NORM(0.05,12,40), and press ENTER.3. The answer rounded to two decimal places is zα/2σn‾√≈3.72. The confidence interval for the population mean has a lower limit of 94.5−3.72=90.78 and an upper limit of 94.5+3.72=98.22.Thus, the 95% confidence interval for μ is (90.78, 98.22).

how did the ancient greeks represent numbers and
why are their symbols so enduring today

Answers

Step-by-step explanation:

the ancient Greeks used the system know as the attic numerals

A block with mass M moving at a velocity of V collides and sticks to a block of mass 2M initially at rest. What is their velocity after the collision ?

Answers

Answer:

When a block with mass M moving at a velocity of V collides and sticks to a block of mass 2M initially at rest, their velocity after the collision is equal to the original velocity of the first block. This is because, in a collision where the two objects stick together, the final velocity of the combined system is equal to the initial velocity of the first object.

To calculate the final velocity of the combined system, we can use the formula vf = vi + (2mv)/(m1+m2), where vf is the final velocity, vi is the initial velocity, m is the mass of the first object, v is the velocity of the first object, and m1 and m2 are the masses of the two objects. Plugging in the values from the problem, we get:

vf = V + (2 * M * V)/(M + 2M) = V + (2 * M * V)/(3M) = V + (2/3) * V = (5/3) * V

Therefore, the final velocity of the combined system is (5/3) * V, which is equal to the original velocity of the first block.

The velocity of the mass 2M after the collision will be V/2 which is half of the velocity of mass M.

What is elastic collision?

An elastic collision is one during which the system does not experience a huge reduction of kinetic energy as a result of the collision. In elastic collisions, mass and kinetic energy are both preserved. Imagine two trolleys that resemble one another moving in the same direction at the same pace.

A block with mass M moving at a velocity of V collides and sticks to a block of mass 2M initially at rest.

Let 'v' be the velocity after the collision. Then the velocity of the mass 2M after the collision will be calculated as,

MV = 2Mv

v = V / 2

Thus, the velocity of the mass 2M after the collision will be V/2 which is half of the velocity of the mass M.

More about the elastic collision link is given below.

https://brainly.com/question/2356330

#SPJ2

Find the fifth power of the following transition matrix. Then find the probability that state 2 changes to state 4 after five repetitions of the experiment. Compute A5. A =O (Type an integer or decimal for each matrix element. Round to three decimal places as needed.) 0.4 0.1 0.1 0.2 0.2 0.1 0.3 0.2 0.1 0.3 A= 0.2 0.1 0.2 0.1 0.4 0.4 0.1 0.1 0.2 0.2 0.1 0.3 0.2 0.1 0.3

Answers

Fifth power of the given transition matrix is (0.22 0.12 0.14 0.14 0.34) and  the probability that state 2 changes to state 4 after five repetitions of the experiment is 0.14.

To find the fifth power of the matrix A, we can simply multiply A by itself five times:

A^5 = A * A * A * A * A

= (0.4 0.1 0.1 0.2 0.2) * (0.2 0.1 0.2 0.1 0.4) * (0.4 0.1 0.1 0.2 0.2) * (0.2 0.1 0.2 0.1 0.4) * (0.4 0.1 0.1 0.2 0.2)

= (0.22 0.12 0.14 0.14 0.34)

To find the probability that state 2 changes to state 4 after five repetitions of the experiment, we need to look at the element in the fifth power matrix A^5 that corresponds to state 2 and state 4. This element is located in the second row and fourth column of the matrix, which is 0.14.

Therefore, Fifth power of the given transition matrix is (0.22 0.12 0.14 0.14 0.34) and the probability that state 2 changes to state 4 after five repetitions of the experiment is 0.14.

To learn more about Power of Matrix,

visit; brainly.com/question/17113081

#SPJ4

A^5 = A * A * A * A * A

= (0.4 0.1 0.1 0.2 0.2) * (0.2 0.1 0.2 0.1 0.4) * (0.4 0.1 0.1 0.2 0.2) * (0.2 0.1 0.2 0.1 0.4) * (0.4 0.1 0.1 0.2 0.2)

= (0.22 0.12 0.14 0.14 0.34)

Therefore, Fifth power of the given transition matrix is (0.22 0.12 0.14 0.14 0.34) and the probability that state 2 changes to state 4 after five repetitions of the experiment is 0.14.

Other Questions
A. Fill in the Blank: Read your notes and ll in each blank in the paragraph below. Once interstitial fluid enters lymphatic vessels, it is called . The smallest of lymphatic vessels are . These vessels lead to lymph collecting vessels. Lymph are located along the path of vessels and clustered in certain areas. They contain that transmit lymph into the node. Nodes are surrounded by a capsule that extends inward through extensions called which separate the cortex into small . Lymph is then transported into larger along its path, and finally into one of two different that transport lymph into large veins that are close to the heart.V . . _ . _ . . . - D. Matching.- Match each lymphatic ce, tissue, vessel, or organ to its function. _ 11. Reticular Tissue A. Contains red pulp that breaks down red blood cells. _ 12. Macrophage B. Located off of the large intestine; contains MALT. _ 13. Thoracic Duct C. Phagocyte that cleans debris in lymph nodes. _ 14. Right Lymphatic Duct D. Very leaky small lymphatic vessels with mini valves. _ 15. Tonsils E. Network of tissue that helps to trap pathogens. _ 16. Peyer's Patches F. Drains lymph from the thorax. _ 17. Appendix G. Small nodules that may have germinal centers. _ 18. Lymph Node H. MALT in the throat and under the tongue. _ 19. Spleen I. Large vessel that drains the left side of the body. _ 20. Lymphatic Capillary J. MALT in the small intestine. 21. Bronchomediastinal Trunk K. Drains lymph from the stomach and intestines. 22. Intestinal Trunk L. Contains afferent and efferent vessels; filter lymph. 23. Lymph Follicles M. Large vessel that drains the right head and thorax. What is the result of the twins duel in world on the turtle's back? communication researchers who follow media ownership saw a consistent trend of characterized by mergers and buyouts through the 1980s and 1990s, resulting in fewer but larger media companies in the 2000s. a. commodification b. conglomeration c. concentration d. synergy Given the function: y = 3x2 10What can replace y? What is the range if the domain value is 3? The elongated shape and thickened cell walls of the cells in collenchymatissue produce tough, flexible fibers in plant stems and leaf stalks. Thisstructure enables the tissue to perform which function?A. Allow root caps to extend root hairs into the soilB. Allow water to flow upward through a plantC. Allow stems and leaves to bend without breakingD. Allow the chloroplasts in the cells to photosynthesize Which layer of the Ethernet is responsible for the initiation of frame transmission? 19. On the grid below, graph the following functions: (a) y = 2 (x 6) 2 10 (b) y = x 2 + 4 What products have tariff restricting their trade or subsidies promoting it. When parents impose strict rules on the dating behavior of their adolescent children, the adolescents frequently deal with this conflict by ____. What is the concentration of solution if 20gm solid dissolved in 180 gm of water? Legal Reasoning Fact Scenario V:Rapunzel, who lives in Massachusetts, works in research and development for Tower Corporation at one of the company's facilities in Massachusetts. Tower Corporation is a hair products company whose headquarters is in Connecticut and whose primary state of incorporation is Delaware. Recently, she applied for a promotion, but the position was awarded to Rumpelstiltskin, a man from another department with much less experience and fewer qualifications. Rapunzel is very disappointed and is upset because she has noticed a pattern and practice of discrimination on the basis of gender at Tower and she decides to sue Tower Corporation based on Title VII of the Civil Rights Act of 1964 (a Federal statute) and Mass. Gen. Laws Ann. ch. 151B, 1 et al. (a Massachusetts statute.) After exhausting her administrative remedies, as is required by the statutes, she decides to proceed in court.Refer to Legal Reasoning Fact Scenario V:Which of the following must be considered in order to determine in which court Rapunzel can file her claim?Whether the case can be tried in federal court and which courts have personal jurisdiction over Rapunzel.Whether the case can be tried in federal court, only.Which courts have personal jurisdiction, only.A substantive analysis of gender discrimination laws at both the state and federal level. Damon says -3/4=3/-4=-3/4 Is he correct? Why or why not What are the 7 reflexive pronouns? Various nations have adopted policies designed to combat overfishing. Which of the following approaches is commonly used to combat the problem of overfishing?A. Reducing the limits on the numbers of commercial fish species that can be caughtB. Banning the use of sonar as a means for capturing fish in open ocean watersC. Promoting fishing in estuaries and breeding grounds rather than in the open oceanD. Enforcing minimum-size requirements for the capture of some commercial species When Mendel crossed all purple plants with all white plants all of the offspring were purple because? ranmali is a professor at an elite university. over the years, she has noticed that many students seem much more concerned with the letter grade they will receive than with the knowledge and skill acquisition the class requires. she also notices that many firms who are hiring graduates of her university are focused on special certificates and gpas but ask few questions about the content of academic programs. these are both examples of What are the factors of polynomial P x )= 2x 7x 3? Zoom out and drag the sky map until you can see a full circle sky on your screen. Make a mental note of the location of one or two constellations that are near ursa minor. Click on the grey time box that is on the bottom right side of the sky map. Use the slider to fast-forward through time. Go from 22:00 to 6:00. Describe how the location of ursa minor and the other constellations in the sky changed relative to polaris throughout the night and early morning. The table shows the number of points scored by a basketball team in their first seven games. Which phrase represents an attempt to prevent objections by Roosevelts audience?