Answer:
0.0786
Step-by-step explanation:
It is given that Bartholemew had drawn the replacement of 160 tickets.
There are five tickets = [0, 0, 0, 1, 2]
Now we need to find the estimate of the ticket that has 1 on it and it turns up on the 32 draws exactly.
Since the probability of the drawing 1 out of 5 tickets is given by, [tex]$\frac{1}{5} = 0.2$[/tex]
So the binomial with the parameter of n = 160 and p = 0.2, we get
P (it turns up on exactly 32 draws) = P(X = 32)
Therefore,
[tex]$C(160, 32)\times (0.2)^{32}\times (0.8)^{160-32}$[/tex]
= 0.0786
Given the quadratic equation X2 - 5x + 10 = 0
Which of the following gives the value of the discriminant along with the
proper interpretation of it
a. discriminant = 105 there are two solutions
b. discriminant = 105 there are no solutions
c. discriminant = -15 there are two solutions
d. discriminant = -15 there are no solutions
Answer:
b
Step-by-step explanation:
5(2b + 3) + 8(b - 6)
Answer:
Step-by-step explanation:
5(2b+3)+8(b-6)
=10b+15+8b-48
=18b-33
=3(6b-11)
Find the sum and product of zeroes of the quadratic polynomial 3x² + 5x-2.
Answer:
see first of all it is a quadratic polynomial so it will have 2 zero alpha and beta
now , we will find value of a , b, c
so,
a= 3
b= 5
c= -2
now, sum of the zeros ( alpha + beta) =-b/a
so,-5/3
now product of zeros (alpha *beta) = c/a
so, it will we -2/3
hope you get it !
If 3(x - 1) – 5(x – 3) = 3, find the value of 7x-5.
Answer:
36.5
Step-by-step explanation:
First solve for x
Factor:
3x-3-5x+15 = 3
Combine Like Terms:
-2x+12=3
-2x = -9
x = 4.5
PLug it in:
7(4.5)-5
31.5-5
36.5
[tex]{\boxed{\mathcal{\red{Step-by-step\:explanation:-}}}}[/tex]
[tex]3(x - 1) - 5(x - 3) = 3 \\ ⇝3x - 3 - 5x + 15 = 3 \\ ⇝ - 2x + 12 = 3 \\ ⇝ - 2x = 3 - 12 \\ ⇝x = \frac{ - 9}{ - 2} \\ x = 4.5[/tex]
To verify:
[tex]3(4.5 - 1) - 5(4.5 - 3) = 3 \\ ✒ \: 13.5 - 3 - 22.5 + 15 = 3 \\ ✒ \: 28.5 - 25.5 = 3\\✒\: 3 = 3[/tex]
✒ L. H. S. = R. H. S.
[tex]\sf\pink{Hence\:verified.}[/tex] ✔
Now,
7 [tex]x[/tex] - 5 = 7 x 4.5 - 5
= 31.5 - 5
= 26.5
[tex]\sf\purple{Therefore,\:the\:value\:of\:''7\:x-\:5''\:is\:26.5.}[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
A classic data set for investigating categorical variables deals with the RMS Titanic. The Titanic sank in the North Atlantic Ocean on April 15, 1912. There were more than 2,000 passengers and crew on board and more than 1,500 did not survive. The data set titanic.jmp located with this homework contains data on 887 passengers. For each passenger, the variables Class (class of the passenger) and Survived (whether or not the passenger lived) were recorded. A main question of interest is whether there is an association between class and survival.
(a) Use JMP to obtain the distribution of the variable Survived. See the Categorical Data JMP guide for any additional help. This is the marginal distribution of Survived. Write down the marginal distribution below (give the categories of Survived and the proportions in each category).
(b) One variable that could be associated with the survival of a passenger is their Class. In studying this relationship, which variable is the explanatory variable? Circle the appropriate answer.
Class Survived
(c) Use JMP to obtain a contingency table and mosaic plot of the relationship between the Class of a passenger and whether or not they Survived. Change the contingency table so that it includes only the Count and Row % values. Print out the output and turn it in with this assignment. See the Categorical Data JMP guide for any additional help.
(d) Give the conditional distribution of Survived given that the passenger was in First class.
(e) Compare this conditional distribution to the overall marginal distribution of Survived from part (a). Are the two distributions similar to each other, or are they different? Explain.
(f) Based on the contingency table and mosaic plot, does it appear there is an association between Class and Survival?
A serving of crackers has 1.5 grams of fat.
How many grams of fat are in 3.75 servings?
O A. 3.90
B. 5.25
C. 5.305
D. 5.625
The product of b and 3
Answer and Step-by-step explanation:
The product of a two numbers/values is the result of multiplying two numbers/values.
So, multiply b and 3 together.
3b is the answer.
#teamtrees #PAW (Plant And Water)
Question 1. Refer to the graph and write the inequality that satisfied the shaded region
Answer:
mexico
Step-by-step explanation:
Choose the inequality that represents the following graph. help please! :)
Answer:
A. x < -1
Step-by-step explanation:
Open circle at -1 with line to the left
A. x < -1
how do you estimate 10.43
Answer:
Step-by-step explanation:
Given 10.43, you can 'estimate' it only by rounding off:
10.43 to the nearest tenth is 10.4.
10.43 to the nearest whole number is 10; we drop the fraction 0.43.
1
Consider the expression 16 – 4 x 3 +7.
Use parentheses to rewrite the
expression so that it equals 11.
Answer:
16 - (4 x 3) + 7
Step-by-step explanation:
16 - (4 x 3) + 7
16 - 12 + 7
4 + 7
11
The track team has 12 more boys than girls. There are a total of 142 team members. How many boys and girls are on the team?
Answer:
77 boys, 65 girls
Step-by-step explanation:
x as the variable to represent amount of girls, and there are 12 more boys than girls (x+12). So the equation would be:
x + x + 12 = 142
2x + 12 = 142
x = 65
65 girls
then 65+ 12 = 77 boys
Aaron participates in a walkathon for charity. He has a sponsor who has pledged a base donation of $2 for the first mile he walks and then a certain dollar amount for each additional mile he walks. Based on this pledge, if Aaron walks 8 miles, the sponsor will donate a total of $23 to the charity.
Write a formula that can be used to determine the amount of money this sponsor donates when Aaron walks n miles.
Explain how you determined your formula.
Answer:
2 + 3x(N-1) = Amount of money donated
Step-by-step explanation:
Since Aaron participates in a walkathon for charity, and he has a sponsor who has pledged a base donation of $ 2 for the first mile he walks and then a certain dollar amount for each additional mile he walks, and based on this pledge, if Aaron walks 8 miles, the sponsor will donate a total of $ 23 to the charity, to determine a formula that can be used to determine the amount of money this sponsor donates when Aaron walks N miles the following equation should be raised:
2 = fixed amount in the first mile
2 + ((23 - 2) / (8-1)) x (N-1) = Amount of money donated
2 + (21/7) x N = Amount of money donated
2 + 3x (N-1) = Amount of money donated
Thus, if N is 8, as in the example, the quantity is determined as follows:
2 + 3x (8-1) = X
2 + 3x7 = X
2 + 21 = X
23 = X
find the largest prime factor of 6108
Answer:
509
Step-by-step explanation:
There are 4 prime factors of 6108
6108 ÷ 2 = 3054
3054 ÷ 2 = 1527
1527 ÷ 3 = 509
509 ÷ 509 = 1
The heart rate of 10 football players is sampled. The rates measured in beats per minute are 62,74,74,64,76,6480,76,68,76
What is the best estimate of the population mean for heart rate among football players?
Enter your answer in the box.
Answer:
The best estimate of the population mean for heart rate among football players is of 71.4 beats per minute.
Step-by-step explanation:
The best estimate for the population mean is the sample mean.
Sample mean:
Sum of all values in the sample divided by 10(size of the sample). So
[tex]\overline{x} = \frac{62+74+74+64+76+64+80+76+68+76}{10} = 71.4[/tex]
The best estimate of the population mean for heart rate among football players is of 71.4 beats per minute.
Answer: 71.4
Just a confrimation to the below anwser.
The hypotenuse function is correct, but the main function has a problem. Explain why it may not work, and show a way to fix it. Your fix must be to the main function only; you must not change the hypotenuse function in any way.
Answer: hello your question is incomplete attached below is the missing codes
Answer : It may not work because; the double pointer P was not allotted a double using a new double ( I.e. Error in the main function ) also the cout statement was not written in the main function
Step-by-step explanation:
It may not work because; the double pointer P was not allotted a double using a new double ( I.e. Error in the main function ) also the cout statement should be moved to the Main
The correction is below
{
double* p = new double;
hypotenuse(1.5, 2.0, p);
cout << "The hypotenuse is " << *p << endl;
}
Find the area of this triangle. Round to the nearest tenth.
Area = 1/2 × 24 × 11 × Sin(76)
Area = 12 × 11 × 0.9703
Area = 132 × 0.9703
Area = 128.0796
Area = 128.1 in^2
Josh's bill for lunch at a restaurant was $49.59. He left an 18% tip. What was the amount
of the tip?
Round your answer to the nearest cent: $
GIVING OUT BRAINLIEST PLS HELP! ALMOST DUE
Answer:
I think it's option B
Task 4: gasoline cost
you have $40 to spend on n gallons of gas that costs $3.25 per gallon. determine whether each of the following is an expression or an equation. using the structure, give an interpretation of the practical meaning of each. that is, what do they represent in the real world?
1. 3.25n
2.3.25n=26
3.40-3.25n
4. 40-3.25n=1.00
1) 3.25n
Overall cost of n gallons of gas
2)3.25n = 26
we are spending 26 dollars on 8 gallons of gas
3)40-3.25n
Ammount we have remaining after spending on n gallons of gas out of 40 dollars
4) 40-3.25n = 1.00
The maximum number of gallons of gas we can buy from 40 dollar is 13 gallons and 1 dollar is still remaining to us.
The given representations could be classified thus :
3.25n (Expression)
3.25n=26 (Equation)
40-3.25n (Expression)
40-3.25n=1.00 (Equation)
Total amount to spend = $40
Cost per gallon = $3.25
Number of gallons = n
An expression could be a variable, constant or a combination of both which is related by an operation symbol.
An equation on the other hand maybe defined as a relationship between two expressions linked by an equal to symbol.
Evaluating the representations given :
3.25n : This is an expression as it lacks an equal to sign connecting the expression. The expression means the cost of n gallons of gas.
3.25n = 26 : This is an equation as it contains two Seperate expressions connected by the equal to sign. The equation means that number of gallons of gas, n that can be purchased with $26.
40 - 3.25n : This is an expression. The amount left after purchasing n gallons from $40.
40 - 3.25n = 1.00 : This is an equation. The number of gallons of gas that can be purchased from $40 and still have $1 left.
Learn more : https://brainly.com/question/18109354
Exponential Growth/Decay
Plz help!!!
Answer:
a) 82.
b) So a growth factor of 0.025
c) 2.5%.
d) f(5) = 93, which means that the population of the island on January 1st 2026 is of 93.
Step-by-step explanation:
Exponential equation of population growth:
The exponential equation for population growth has the following format:
[tex]f(x) = x(0)(1+r)^x[/tex]
In which x(0) is the initial value and r is the growth factor, as a decimal.
In this question:
In x years after 2021:
[tex]f(x) = 82(1.025)^x[/tex]
a)
This is f(0). So
[tex]f(0) = 82(1.025)^0 = 82[/tex]
So 82.
b)
We have to find r. So
[tex]1 + r = 1.025[/tex]
[tex]r = 1.025 - 1 = 0.025[/tex]
So a growth factor of 0.025.
c)
Growth factor multiplied by 100%.
So 0.025*100% = 2.5%.
d)
f(5) = population in 5 years after January 1st 2021, that is, January 1st 2026.
[tex]f(5) = 82(1.025)^5 = 93[/tex]
f(5) = 93, which means that the population of the island on January 1st 2026 is of 93.
1. 89.023 - write this number in words
2. which is correct
A. 0.875>0.920
B. 0.875 <0.920
C. 0.920= 0.875
Answer:
#1 Eighty-nine and 23 thousandths. #2 B.
Step-by-step explanation:
9 is more than 8. ♀️
Anybody know this one? I was leaning towards D but not sure
Answer:
You would be correct!
Step-by-step explanation:
10 × 4 = 40 40 + 15 = 55 therefore D is the answer great job!
Please help the question is already on the pic and please explain
Two puppies from the same litter name Bruno in Jasper there ways during the first six weeks are plotted on the coordinate grid at which age did Bruno in Jasper Way the same
Answer:
3 weeks
Step-by-step explanation:
Two puppies from the same litter are named Bruno Puppy Weight and Jasper. Their weights during the first weeks are plotted on the coordinate grid. At which age did Bruno and Jasper weigh the same?
Solution:
We can see that Bruno and Jasper weight is represented by a straight line. Let y represent the weight of the puppies in ounce and x represent the age in weeks.
For Bruno:
The line passes through (1, 10) and (5, 16), hence the equation of the line is:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-10=\frac{16-10}{5-1} (x-1)\\\\y-10=\frac{3}{2}(x-1)\\\\y=1.5x+8.5\ \ \ (1)[/tex]
For Jasper:
The line passes through (0, 12) and (3, 13), hence the equation of the line is:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-12=\frac{13-12}{3-0} (x-0)\\\\y-12=\frac{1}{3}(x)\\\\y=\frac{1}{3} x+12\ \ \ (2)[/tex]
To find the age at which both puppies weighed the same, we have to solve equation 1 and 2 simultaneously. Subtract equation 1 from 2:
-1.167x + 3.5 = 0
1.167x = 3.5
x = 3
Put x = 3 in equation (2)
y = (1/3)(3) + 12 = 13
The solution is (3, 13)
Therefore both Jasper and Bruno weigh the same weight of 13 ounce at 3 weeks of age
The ages of students at a university are normally distributed with a mean of 21. What percentage of the student body is at least 21 years old? a. 50% b. It could be any value, depending on the magnitude of the standard deviation. c. 1.96% d. 21%
Answer:
50%
Step-by-step explanation:
Recall : When given a normal or Symmetric distribution, the mean of the distribution is at the centre with 0.5 or 50% of the distribution to either side (right and left) of the distribution.
Hence, if the mean = 21 ; then the percentage of student body with atleast 21 years is the percentage to the left of the distribution, which is 50%.
Therefore, P(x ≤ 21) = 0.5 = 50%
Will mark Brainliest. So Im trying to calculate what I need to get on the final to keep an overall 80% for my semester grade. My math teacher said our final grade is 40% of 3st quarter & 40% of 4th quarter with our final weighing 20%. So what I was wondering was if i had a 85.29 in 3rd quarter and a 81.5 in 4th quarter what could i get on my final to keep an overall 80% average for my semester grade. ( my semester grade is currently at 83.39 )
Answer:
[tex]66.42\%[/tex]
Step-by-step explanation:
Hi there! We can establish the following inequality with the given weights provided in your question:
[tex]85.29\cdot 0.4+81.5\cdot 0.4 +\text{Final Exam Grade}\cdot0.2 \geq 80[/tex]
Solving, we get:
[tex]66.716+\text{Final Grade}\cdot 0.2\geq 80,\\\text{Final Exam Grade}\cdot 0.2\geq13.284,\\\text{Final Exam Grade}\geq\boxed{66.42\%}[/tex]
Thus, to maintain a final semester grade of 80% or higher, you must achieve a minimum of [tex]66.42\%[/tex] on your final exam!
Which of the following are roots of the polynomial function? Check all that apply. F(x) = x^3 - 5x^2-13-7
Answer:
The roots are: 1, -7 and -7
Step-by-step explanation:
When we put x = -1 in F(x) it is equal to 0
Thus, (x + 1) is factor of given function.
When we divide F(x) by (x + 1) it gives the value (x² - 6x - 7)
Now, factorizing x² - 6x - 7 by middle term splitting.
x² - 6x - 7 = x² - 7x + x - 7
⇒ x(x - 7) + 1(x - 7)
⇒ (x + 1) (x - 7)
Thus, x³ - 5x² - 13x - 7 = (x + 1)(x + 1)(x - 7)
Thus, Roots of the given polynomial function is x = -1, -1, 7
Hope this answer helps you :)
Have a great day
Mark brainliest
What combination of transformations is shown below?
Explanation:
To go from figure 1, to figure 2, we apply a translation (aka "shifting"). Specifically, we translate 3 units to the right and 4 units up.
To go from figure 2 to figure 3, we apply a reflection. The mirror line is vertical and it is along the shared segment of figures 2 and 3.
Select the false statement about inverse relations.
a. The range of a function will be the domain of its inverse.
b. The graphs of inverse relations are reflections in the line y=x.
c. The inverse of a function will always be a function.
d. The domain of a function will be the range of its inverse.
Answer:
THE ANSWER IS B
Step-by-step explanation:
B mine please im so single