Pls help! Mr Douglass trains a group of student athletes. He wants to know how they are improvising in the number of sit ups they can do. The following dot plots show the number of sit ups each student was able to do last month and this month.
By how much did the mean number of sit ups increase from last month to this month?
Answers
This month mean: 38.5
38.5-31=7.5
The mean number of sit ups increased from last month to this month is 7.5
Related Questions
Q1 Logarithmic Functions
An initial amount of $1200 is invested into an account earning 4.25% interest compounded annually.
Q1.1 Part a)
Write the equation for the amount of money in the account after t years. Hint: "compounded annually" means that the money will be compounded one time per year.
Q1.2 Part b)
How long will it be until the amount of money in the account reaches $3000 (use a logarithm to find the exact amount of time, and then round your answer to 2 decimal places)?
Q2 Logarithmic Functions
According to the CDC, the relationship between the median weight of a female child and the age of a female child (from 0 to 36 months) can be modeled approximately by W=7.5+5.9ln(M+1), where
M is the age in months and W is the median weight in pounds.
Q2.1
Graph this function in an appropriate window. Make sure to label axes, scale, and all important features of the graph.
Q2.2
Determine W ^−1(28). What does this mean in the given context?
Answers
This means that the median weight of a female child at 31.48 months is 28 pounds (approximately) base on logarithmic function.
Logarithmic function calculation.
Q1.1: The equation for the amount of money in the account after t years, compounded annually, can be given by:
A = P(1 + r/100)^t
where A is the amount of money in the account after t years, P is the principal amount invested, r is the annual interest rate, and t is the number of years.
Plugging in the values given in the problem, we get:
A = 1200(1 + 4.25/100)^t
Q1.2: We need to solve for t in the equation:
3000 = 1200(1 + 4.25/100)^t
Dividing both sides by 1200, we get:
2.5 = (1 + 4.25/100)^t
Taking the natural logarithm of both sides, we get:
ln 2.5 = t ln (1 + 4.25/100)
Solving for t, we get:
t = ln 2.5 / ln (1 + 4.25/100) ≈ 15.91 years
So, it will take approximately 15.91 years for the amount of money in the account to reach $3000.
Q2.1: To graph the function W = 7.5 + 5.9 ln(M + 1), we can use a graphing calculator or software. Here is a possible graph:
Graph of W = 7.5 + 5.9 ln(M + 1)
Q2.2: To find W ^−1(28), we need to solve the equation:
28 = 7.5 + 5.9 ln(M + 1)
Subtracting 7.5 from both sides, we get:
20.5 = 5.9 ln(M + 1)
Dividing both sides by 5.9, we get:
ln(M + 1) ≈ 3.474576
Taking the inverse logarithm of both sides, we get:
M + 1 ≈ e^3.474576
M ≈ e^3.474576 - 1 ≈ 31.48 months
So, W ^−1(28) ≈ 31.48 months. This means that the median weight of a female child at 31.48 months is 28 pounds (approximately).
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Every month, Ms. Hughes pays her car loan through automatic payments (withdrawals) from her savings account. She pays the same amount on her car each month. At the end of the year, her savings account balance changed by -$2,940 from payments made on her car loan.
What is the change in Ms. Hughes’s savings account balance each month due to her car payment? Show your work and/or explain your reasoning.
What is the total change in Ms. Hughes’s savings account balance after making six monthly payments on her car loan? Show your work and/or explain your reasoning.
Answers
After making six monthly payments on her car loan, Ms. Hughes's savings account balance will decrease by $1,470.
To find the change in Ms. Hughes's savings account balance each month due to her car payment, we can divide the total change in balance for the year ($-2,940) by the number of months in a year (12):
Change in savings account balance each month = $2,940 / 12 = -$245
So, Ms. Hughes's savings account balance decreases by $245 each month due to her car payment.
To find the total change in Ms. Hughes's savings account balance after making six monthly payments on her car loan, we can multiply the change in savings account balance each month by the number of months (6):
Total change in savings account balance after six monthly payments = -$245 * 6 = -$1,470
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Which is the costant and coefficient of 5x + 12
Answers
Answer:
12 = constant
5x = coefficient
Step-by-step explanation:
12 is a constant because it can not be changed.
5 is a coefficient because it can changed by the variable (x)
booker and lola stuff envelopes for their urban food co-op booker stuffedd of 70 envelopes this is 10 more than twice the number of envelopes lola stuffed write an equation that can be used to find the number of envelopes e that lola stuffed
Answers
Answer:
Step-by-step explanation:
The table below shows the number of deaths in the U.S. in a year due to a variety of causes. For these questions, assume these values are not changing from year to year, and that the population of the United States is 312 million people.
Cause Deaths
Passenger car occupant 13,100
Motorcycle driver 4,500
Tornado 553
Skydiving 56
a) What is the probability that an American chosen at random died as a passenger car occupant last year?
Give your answer as a fraction or decimal. If decimal, make sure your answer is accurate to at least 2 significant figures (values after leading zeros)
LicenseQuestion 1. Points possible: 2
Unlimited attempts.
The table below shows the number of deaths in the U.S. in a year due to a variety of causes. For these questions, assume these values are not changing from year to year, and that the population of the United States is 312 million people.
Cause Deaths
Passenger car occupant 13,100
Motorcycle driver 4,500
Tornado 553
Skydiving 56
b) What is the probability that you died as a passenger car occupant last year?
Make sure your answer is accurate to at least 2 significant figures (values after leading zeros)
LicenseQuestion 2. Points possible: 2
Unlimited attempts.
The table below shows the number of deaths in the U.S. in a year due to a variety of causes. For these questions, assume these values are not changing from year to year, and that the population of the United States is 312 million people.
Cause Deaths
Passenger car occupant 13,100
Motorcycle driver 4,500
Tornado 553
Skydiving 56
c) What is the probability that you will die as a passenger car occupant next year?
Make sure your answer is accurate to at least 2 significant figures (values after leading zeros)
LicenseQuestion 3. Points possible: 2
Unlimited attempts.
The table below shows the number of deaths in the U.S. in a year due to a variety of causes. For these questions, assume these values are not changing from year to year, and that the population of the United States is 312 million people.
Cause Deaths
Passenger car occupant 13,100
Motorcycle driver 4,500
Tornado 553
Skydiving 56
d) What is the probability that an American chosen at random will die as the result of a tornado next year?
Make sure your answer is accurate to at least 2 significant figures (values after leading zeros)
LicenseQuestion 4. Points possible: 2
Unlimited attempts.
The table below shows the number of deaths in the U.S. in a year due to a variety of causes. For these questions, assume these values are not changing from year to year, and that the population of the United States is 312 million people.
Cause Deaths
Passenger car occupant 13,100
Motorcycle driver 4,500
Tornado 553
Skydiving 56
e) What is the probability that you will die as the result of a tornado next year?
Make sure your answer is accurate to at least 2 significant figures (values after leading zeros)
Answers
a) The probability that an American chosen at random died as a passenger car occupant last year is 0.0042.
b) The probability that you died as a passenger car occupant last year is 0.0042
c) The probability that you will die as a passenger car occupant next year P(C) is 0.0042.
d) The probability that an American chosen at random will die as the result of a tornado next year is 0.0000018
e) The probability that you will die as the result of a tornado next year is 0.0000018
What are the probabilities?The given probabilities are determined as follows:
The probability that an American chosen at random died as a passenger car occupant last year is:
P(A) = 13,100 / 312,000,000
P(A) = 0.0042
b) The probability that you died as a passenger car occupant last year is:
P(B) = 13,100 / 312,000,000
P(B) = 0.0042
c) The probability that you will die as a passenger car occupant next year P(C) would be 0.0042 since the values do not change.
d) The probability that an American chosen at random will die as the result of a tornado next year is:
P(D) = 553 / 312,000,000
P(D) = 0.0000018
e) The probability that you will die as the result of a tornado next year, P(E) = 0.0000018
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!!!!!!PLEASE HELP MEEE!!!!!
Choose the ordered pair that is a solution for this equation.
4x + 2y = 8
Answers
The ordered pair (1, 2) is a solution for the equation 4x + 2y = 8.
Choosing the ordered pair that is a solution for this equation.To find an ordered pair that is a solution for the equation 4x + 2y = 8, we need to find a pair of values for x and y that satisfies the equation when we substitute them into the equation.
One way to do this is to choose a value for x and then solve for y, or vice versa.
For example, we can choose x = 1 and then solve for y:
4x + 2y = 8
4(1) + 2y = 8
4 + 2y = 8
2y = 4
y = 2
So, when x = 1 and y = 2, the equation is satisfied:
4(1) + 2(2) = 8
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What is the answer to
7 + 60 / (3x5)
Answers
= 11
Step-by-step explanation:
To solve this problem, we need to follow the order of operations or PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
First, we have to perform the multiplication in the denominator:
7 + 60 / 15
Then, we can simplify the division:
7 + 4
Finally, we can add:
11
Therefore, the answer is 11.
To show the working:
7 + 60 / (3x5) = 7 + 60 / 15 (multiply 3x5 to get 15)
= 7 + 4 (divide 60 by 15)
= 11 (add 7 and 4)
1. Which number is the greatest? 20 -100 -45 50
Answers
Answer:
D) 50
Step-by-step explanation:
-100 <-45 < 20 < 50
Answer:
50
Step-by-step explanation:
any numbers approaching negative (before 0) in an increasing manner are the lowest, whereas numbers approaching positive in a increasing manner are the greatest.
The value 3pi/4 is a solution for the equation 3√2 sec theta +7 = 1.
A. True
B. False
Answers
Answer:
False
Step-by-step explanation:
3√2 sec(theta) + 7 = 1
3√2 sec(theta) = -6
sec(theta) = -2/√2
sec(theta) = -√2
theta = arcsec(-√2)
However, the range of secant function is [-∞, -1] U [1, ∞]. Since -√2 is not within this range, we cannot take the arcsecant of -√2. Therefore, there is no real value of theta that satisfies the equation, including 3π/4.
Therefore, the statement "The value 3π/4 is a solution for the equation 3√2 sec(theta) + 7 = 1" is False.
I hope it helps you
please answer and explain how to get it.
Answers
The value of x is given as follows:
x = 4.2 cm.
How to obtain the value of x?The value of x is obtained applying the proportions in the context of the problem.
The ratio between the volumes is given as follows:
3375/512 = 6.59
The side lengths are measured in units, while the volume is measured in cubic units, hence the proportion to obtain the value of x is given as follows:
8/x = cubic root of 6.59
8/x = 1.9
x = 8/1.9
x = 4.2 cm.
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A parallelogram has one angle that measures 12°. What are the measures of the other three angles in the parallelogram?
Answers
Answer:
I think like 60∘, 60∘, 60 ∘ , 60 ∘ , and 120∘?
Review the data and calculate the probability that someone with a credit score of 650 or below defaulted on the loan.
Answers
The probability that someone with a credit score of 650 or below defaulted on the loan is 0.14.
What is the probability?The probability that someone with a credit score of 650 or below defaulted on the loan is calculated below:
Probability = number of defaulters/ number of loan recipients
From graph:
The total number of defaulters = 30 + 30 + 30
The total number of defaulters = 90
The total number of loan recipients = 120 + 240 + 270
The total number of loan recipients = 630
Probability to default = 90/630
Probability to default = 0.14
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A scuba tank started with 40 cubic feet of air and was empty after a 10-minute dive.
Assume the rate of change is linear and complete the table.
Answers
The complete table is
Time (mins) 0 1 2 3 4 5 6 7 8 9 10
Amount of air (ft³) 40 36 32 28 24 20 16 12 8 4 0
What is the Rate of change :
The rate of change refers to the speed at which a quantity is changing with respect to time or some other variable.
It is a measure of how quickly or slowly a quantity is increasing or decreasing, and it is often represented as the slope of a graph or function. To fill the table we need to know the rate of change per minute in the air. Using the rate of change we can fill the table as follows
Here we have
A scuba tank started with 40 cubic feet of air and was empty after a 10-minute dive.
To complete the table, calculate the rate of change of the amount of air in the scuba tank.
We know that the scuba tank started with 40 cubic feet of air and was empty after a 10-minute dive, so we can use this information to find the rate of change:
Rate of change = (final amount - initial amount) / time
Rate of change = (0 - 40) / 10 = -4 ft³/min
The negative sign indicates that the amount of air in the scuba tank is decreasing over time, which makes sense since the diver is using up the air during the dive.
Using this rate of change, we can complete the table as follows:
For 1 min = 40 ft³ - 4 ft³ = 36 ft³
For 2 min = 36 ft³ - 4 ft³ = 32 ft³
For 3 min = 32 ft³ - 4 ft³ = 28 ft³
Similarly, we can fill the table as given below
Therefore
The complete table is
Time (mins) 0 1 2 3 4 5 6 7 8 9 10
Amount of air (ft³) 40 36 32 28 24 20 16 12 8 4 0
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2 ¿Qué figura tiene exactamente 2 ejes de simetría? F G H J K
Answers
The figure given that has exactly two lines of symmetry is C. Rectangle.
How many lines of symmetry does a rectangle have ?A rectangle has two lines of symmetry.
A line of symmetry is a line that divides a shape into two equal parts that are mirror images of each other. In a rectangle, the two lines of symmetry run through the center of the rectangle, dividing it into two congruent halves. These lines of symmetry are perpendicular to each other and bisect both pairs of opposite sides of the rectangle.
Therefore, a rectangle has two lines of symmetry, one horizontal and one vertical, which make it a symmetrical shape.
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a twenty sided fair die is rolled, with the numbers 1 through 20 on its faces. what is the probability that you will roll a number that is NOT between 4 and 12?
Answers
The probability of rolling a number that is NOT between 4 and 12 is approximately 0.55 or 55%.
What is probability?Probability is the concept that describes the likelihood of an event occurring. In real life, we frequently have to make predictions about how things will turn out. We may be aware of the result of an occurrence or not. When this occurs, we state that there is a possibility that the event will occur.
The range between 4 and 12 inclusive contains 9 numbers (4, 5, 6, 7, 8, 9, 10, 11, and 12) out of 20.
To find the probability of rolling a number that is NOT between 4 and 12, we need to find the probability of rolling one of the 11 numbers that are outside of this range.
The probability of rolling any one of these 11 numbers is 11/20, since there are 11 favorable outcomes out of 20 possible outcomes.
Therefore, the probability of rolling a number that is NOT between 4 and 12 is:
P = 11/20 ≈ 0.55
So, the probability of rolling a number that is NOT between 4 and 12 is approximately 0.55 or 55%.
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A recipe for cookies makes 3 dozen cookies and uses
3
2 1/4 cups of flour and 3/4
cups of sugar. Sam needs to
make 5 dozen cookies. How many cups of flour and
sugar will Sam need for the recipe?
Answers
The number of cups of flour and sugar that Sam needs for the recipe will be 3.75 cups and 1.25 cups, respectively.
Given that:
A recipe for cookies makes 3 dozen cookies and uses 2 1/4 cups of flour and 3/4 cups of sugar.
The utilization of two or more additional numbers that compares is known as the ratio.
The expression that represents the 'n' dozen of cookies is given as,
⇒ n (2¹/₄) / 3 + n(3/4) / 3
⇒ n (2.25) / 3 + n(0.75) / 3
Put n = 5, then we have
⇒ 5 (2.25) / 3 + 5(0.75) / 3
⇒ 11.25/3 + 3.75/3
⇒ 3.75 + 1.25
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if 3+1=34
2+2=44
2+3=65
5+3=158
7+2=?
Answers
Answer:
7 + 2 = 149 here.
7 × 2 = 14, and 7 + 2 = 9.
Please help me write a summary of the 3 rules on segments
1) When 2 chords intersect inside a circle, and 4 segments are formed
2) When 2 secants intersect outside a circle, and 4 segments are formed
3) When 1 secant and 1 tangent intersect outside a circle, and 3 segments are formed
Answers
The summary of the 3 rules on segments are written below.
How to write a summary of the 3 rules on segments?The three rules on segments in circles are:
1. When two chords intersect inside a circle, they create four line segments.
The product of the lengths of the two segments of one chord is equal to the product of the lengths of the two segments of the other chord.
2. When two secants intersect outside a circle, they create four line segments.
The product of the length of the secant segment and its external segment is equal to the product of the length of the other secant segment and its external segment.
3. When one secant and one tangent intersect outside a circle, they create three line segments.
The product of the length of the secant segment and its external segment is equal to the square of the length of the tangent segment.
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Im doing my math homework and i need helpp
Answers
the power tells you how many times the base is multiplied.
1) 3^4 = 3 x 3 x 3 x 3
= 81
help me pls I’ll give brainliest
Answers
The equation is expanding Pascal's triangle and the Binomial theorem
(x + 0.5)³ = x³/8 + 3x²/4 + 3x/2 + 1/8
(s + 4t)⁶ = s⁶ + 6s⁵(4t) + 15s⁴(4t)² + 20s³(4t)³ + 15s²(4t)⁴ + 6s(4t)⁵ + 4t⁶
(3a - 3b)⁴ = 81a⁴ - 324a³b + 486a²b² - 324ab³ + 81b⁴
(3m - 2n)⁵ = 243m⁵ - 810m⁴n + 1080m³n² - 720m²n³ + 240mn⁴ - 32n⁵
(a-4)⁵ = a⁵ - 20a⁴ + 160a³ - 640a² + 1280a - 1024
What is the binomial theorem formula?The binomial theorem formula for any positive integer n.
(x + y)n = nC0 xn + nC1 xn-1 by+ nC2 xn-2 y2 + … + nCn-1 x yn-1 + nCn x.
11) Using the Binomial Theorem, we have:
(x + 0.5)³ = C(3,0) x³(0.5)⁰ + C(3,1) x²(0.5)¹ + C(3,2) x¹(0.5)² + C(3,3) x⁰(0.5)³
= x³/2³ + 3x²/2² + 3x/2 + 1/2³
= x³/8 + 3x²/4 + 3x/2 + 1/8
12) Using Pascal's Triangle, we have:
(s + 4t)⁶ = C(6,0) s⁶(4t)⁰ + C(6,1) s⁵(4t)¹ + C(6,2) s⁴(4t)² + C(6,3) s³(4t)³ + C(6,4) s²(4t)⁴ + C(6,5) s(4t)⁵ + C(6,6) (4t)⁶
= s⁶ + 6s⁵(4t) + 15s⁴(4t)² + 20s³(4t)³ + 15s²(4t)⁴ + 6s(4t)⁵ + 4t⁶
13) Using Pascal's Triangle, we have:
(3a - 3b)⁴ = C(4,0) (3a)⁴(-3b)⁰ + C(4,1) (3a)³(-3b)¹ + C(4,2) (3a)²(-3b)² + C(4,3) (3a)(-3b)³ + C(4,4) (-3b)⁴
= 81a⁴ - 324a³b + 486a²b² - 324ab³ + 81b⁴
14)Using Pascal's Triangle, we have:
(3m - 2n)⁵ = C(5,0) (3m)⁵(-2n)⁰ + C(5,1) (3m)⁴(-2n)¹ + C(5,2) (3m)³(-2n)² + C(5,3) (3m)²(-2n)³ + C(5,4) (3m)(-2n)⁴ + C(5,5) (-2n)⁵
= 243m⁵ - 810m⁴n + 1080m³n² - 720m²n³ + 240mn⁴ - 32n⁵
15) Using Pascal's Triangle, we have:
(a-4)⁵ = C(5,0) a⁵(-4)⁰ + C(5,1) a⁴(-4)¹ + C(5,2) a³(-4)² + C(5,3) a²(-4)³ + C(5,4) a(-4)⁴ + C(5,5) (-4)⁵
= a⁵ - 20a⁴ + 160a³ - 640a² + 1280a - 1024
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The equation is expanding Pascal's triangle and the Binomial theorem ,
[tex](x + 0.5)^3= x^3/8 + 3x^2/4 + 3x/2 + 1/8[/tex]
[tex](s + 4t)^6 = s^6+ 6s^5(4t) + 15s^4(4t)^2 + 20s^3(4t)^3 + 15s^2(4t)^4+ 6s(4t)^5 + 4t^6[/tex]
[tex](3a - 3b)^4 = 81a^4 - 324a^3b + 486a^2b^2- 324ab^3 + 81b^4[/tex]
[tex](3m - 2n)^5 = 243m^5 - 810m^4n + 1080m^3n^2- 720m^2n^3 + 240mn^4- 32n^5[/tex]
[tex](a-4)^5= a^5 - 20a^4 + 160a^3 - 640a^2+ 1280a - 1024[/tex]
What is the binomial theorem formula?
The binomial theorem formula for any positive integer n.
[tex](x + y)^n = nC_0 x^n + nC_1x^{n-1} y+ nC_2 x^{n-2} y_2 + … + nC_{n-1} x y^{n-1} + nC_n x.[/tex]
11) Using the Binomial Theorem, we have:
[tex](x + 0.5)^3 = C(3,0) x^3(0.5)^0 + C(3,1) x^2(0.5)^1 + C(3,2) x^1(0.5)^2 + C(3,3) x^0(0.5)^3[/tex]
=[tex]x^3/2^3 + 3x^2/2^2 + 3x/2 + 1/2^3[/tex]
= [tex]x^3/8 + 3x^2/4 + 3x/2 + 1/8[/tex]
12) Using Pascal's Triangle, we have:
[tex](s + 4t)^6 = C(6,0) s^6(4t)^0+ C(6,1) s^5(4t)^1+ C(6,2) s^4(4t)^2 + C(6,3) s^3(4t)^3 + C(6,4) s^2(4t)^4+ C(6,5) s(4t)^5 + C(6,6) (4t)^6[/tex]
= [tex]s^6 + 6s^5(4t) + 15s^4(4t)^2 + 20s^3(4t)^3 + 15s^2(4t)^4 + 6s(4t)^5 + 4t^6[/tex]
13) Using Pascal's Triangle, we have:
[tex](3a - 3b)^4 = C(4,0) (3a)^4(-3b)^0 + C(4,1) (3a)^3(-3b)^1 + C(4,2) (3a)^2(-3b)^2 + C(4,3) (3a)(-3b)^3 + C(4,4) (-3b)^4[/tex]
= [tex]81a^4 - 324a^3b + 486a^2b^2 - 324ab^3 + 81b^4[/tex]
14)Using Pascal's Triangle, we have:
[tex](3m - 2n)^5= C(5,0) (3m)^5(-2n)^0 + C(5,1) (3m)^4(-2n)^1 + C(5,2) (3m)^3(-2n)^2+ C(5,3) (3m)^2(-2n)^3 + C(5,4) (3m)(-2n)^4 + C(5,5) (-2n)^5[/tex]
= [tex]243m^5- 810m^4n + 1080m^3n^2 - 720m^2n^3 + 240mn^4 - 32n^5[/tex]
15) Using Pascal's Triangle, we have:
[tex](a-4)^5= C(5,0) a^5(-4)^0+ C(5,1) a^4(-4)^1 + C(5,2) a^3(-4)^2 + C(5,3) a^2(-4)^3 +C(5,4) a(-4)^4 + C(5,5) (-4)^5[/tex]
= [tex]a^5 - 20a^4 + 160a^3 - 640a^2 + 1280a - 1024[/tex]
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Use the given zero to find the remaining zeros of the polynomial function.
P(x) = 2x3 − 5x2 + 6x − 2; 1 + i
Answers
Using the given zero . The three zeros of the polynomial function are 1 + i, 1 - i, 1/2, and 2.
What is the polynomial function?If 1 + i is a zero of the polynomial function P(x), then its conjugate, 1 - i, must also be a zero of the polynomial, since complex zeros of polynomial functions with real coefficients always come in conjugate pairs.
To find the remaining zero, we can use polynomial division or synthetic division to divide P(x) by (x - 1 - i)(x - 1 + i), which is the quadratic factor corresponding to the two known zeros:
2x^2 - 3x + 2
P(x) = --------------
(x - 1 - i)(x - 1 + i)
Now we need to solve for the roots of the quadratic factor 2x^2 - 3x + 2. We can use the quadratic formula:
x = [3 ± sqrt(9 - 4*2*2)] / (2*2)
= [3 ± sqrt(1)] / 4
= 1/2 or 2
Therefore, the remaining zeros of P(x) are 1/2 and 2. The three zeros of the polynomial function are 1 + i, 1 - i, 1/2, and 2.
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f(x)=18x+11 find f(5)
Answers
Answer:
101
Step-by-step explanation:
substitute 5 in the x:
=18(5)+11
=90+11
=101
Is (-1, -3) a solution to this system of equations?
16x - 7y = 5
x = -1
yes
no
Answers
Answer:
Yes, it is
Step-by-step explanation:
In a poll of 510 human resource professionals, %45.9% said that body piercings and tattoos were big personal grooming red flags. Complete parts (a) through (d) below.
Answers
By sample distribution, (0.431,0.487) is Complete parts (a) through (d) below.
What does a statistical sample distribution mean?
An accurate probability distribution of a statistic is known as a sampling distribution, and it is created by repeatedly sampling a certain population. It depicts a spectrum of potential results for a statistic, such as the mean or mode of a variable, for a population.
Given
Favourable cases (X)=?
Sample size(n)=510
Sample proportion (p_hat)=X/n=0.459
X=np_hat=510*0.459=234.09=234
Confidence level(1-α)=99%=0.99
α=0.0
The critical value for α=0.01 is Zc=2.576
The margin of error is E=Zc* √((p_hat(1-p_hat)/n))
E=2.576* √((0.459(1-0.459)/510))=0.0568
The 99% confidence interval for p
CI=(p_hat-E,p_hat+E)
CI=(0.459-0.0568,0.458+0.0568)
CI=(0.402,0.516)
Confidence level(1-α)=80%=0.80
α=0.20
The critical value for α=0.2 is Zc=1.282
The margin of error is E=Zc* √((p_hat(1-p_hat)/n))
E=1.282* √((0.459(1-0.459)/510))=0.0283
The 80 % confidence interval for p
CI=(p_hat-E,p_hat+E)
CI=(0.459-0.0283,0.458+0.0283)
CI=(0.431,0.487)
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14. Use the tree diagram below to answer the question.
Small
Blue
White
Medium
Large
Small
Medium
Large
Small
Answers
The number of outcomes that contains blue shirts is 3
What is a Tree Diagram?A tree diagram is a graphical representation of a hierarchy or branching structure, often used in fields such as mathematics, computer science, linguistics, and biology. It is called a tree diagram because it looks like a tree, with a single root node that branches out into multiple child nodes.
In mathematics, a tree diagram is used to represent the possible outcomes of a series of events or decisions, with each branch representing a different option or outcome.
The outcome for blue shirts is 3 because there is only small medium and large
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Which mapping is a function?
Answers
Answer:
Step-by-step explanation:
C
Nora planted 65 seeds. 80% of them sprouted. How many seeds sprouted
Answers
0.8 x 65 = 52
So, 52 seeds sprouted out of the 65 seeds that Nora planted.
Answer:
52
Step-by-step explanation:
80% of 65 is 65 x 0.80
65 x 0.80 = 52
Therefore 52 seeds were planted.
can someone help with 6,7,8,9 (tell me if number 9 is right) and 10? i need someone’s help please
Answers
The solutions to the dividing fractions prompts are as follows:
6. 4/3
7. 2/13
8. 33/2
9. 24/35
10. 63/20
How to solve the divisionsTo solve the divisions, note that the second divisor is inversed and multiplied. For the following problems, the divisions can be gotten as follows:
6. 8/9 ÷ 2/3
= 8/9 × 3/2
=24/18
=4/3
7. 12/13 ÷ 6
= 12/13 × 1/6
= 12/78
=6/39
= 2/13
8. 11/5 ÷ 2/15
= 11/5 × 15/2
165/10
= 33/2
9. 6/7 ÷ 5/4
6/7 × 4/5
= 24/35
10. 7/2 ÷ 10/9
7/2 × 9/10
63/20
So, the above are ways to determine the step-by-step answers.
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Five cards are dealt from a standard deck. What is the probability that at least four of them are hearts?
Answers
Step-by-step explanation:
To calculate the probability of getting at least four hearts when dealing five cards from a standard deck, we can use the concept of combinations and probability.
There are a total of 52 cards in a standard deck, and 13 of them are hearts (assuming no jokers). So the probability of drawing a heart on the first card is 13/52, or 1/4.
Now, there are two possible scenarios that would result in at least four hearts:
Four hearts and one non-heart: This can happen in C(13,4) * C(39,1) ways, where C(n, k) is the number of combinations of n items taken k at a time. The first part C(13,4) represents choosing 4 hearts out of 13, and the second part C(39,1) represents choosing 1 non-heart out of the remaining 39 cards. The total number of ways to choose 5 cards from 52 is C(52,5).
Five hearts: This can happen in C(13,5) ways, where C(13,5) represents choosing all 5 hearts out of 13.
So, the total number of favorable outcomes is C(13,4) * C(39,1) + C(13,5), and the total number of possible outcomes is C(52,5). Therefore, the probability of getting at least four hearts is:
P(at least 4 hearts) = (C(13,4) * C(39,1) + C(13,5)) / C(52,5)
Plugging in the values and simplifying, we get:
P(at least 4 hearts) = (C(13,4) * C(39,1) + C(13,5)) / C(52,5)
= (715 * 39 + 1287) / 2,598,960
= 27,885 / 2,598,960
≈ 0.0107566
So, the probability of getting at least four hearts when dealing five cards from a standard deck is approximately 0.0107566 or about 1.08%.
Which of the following criteria is required to ensure
communication competence?
A. The message achieves the intended effect
B. The message is grammatically correct
C. the message is free from too much emotion
D. the message is well received
Subject: Professional Communication
Answers
the criteria is required to ensure communication competence is The message achieves the intended effect. Option A
What is communication competence?Communicative competence is simply described as the ability to achieve communicative goals in an appropriate and socially way.
It is well organized and goal-oriented, this means that it involves the ability to evenly select and apply skills that are appropriate and are also effective in a given context.
The different components of communication competence are;
Grammatical competencesociolinguistic competencediscourse competencestrategic competence.Hence, the message should always be effective for the context.
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