MATHEMATICS HIGH SCHOOL

PLEASE HURRY According to a poll, 30% of voters support a ballot initiative. Hans randomly surveys 5 voters. What is the probability that exactly 2 voters will be in favor of the ballot initiative? Round the answer to the nearest thousandth.P (k successes) = Subscript n Baseline C Subscript k Baseline p Superscript k Baseline (1 minus p) Superscript n minus k. Subscript n Baseline C Subscript k Baseline = StartFraction n factorial Over (n minus k) factorial times k factorial EndFraction

0.024

0.031

0.132

0.309

Answers

Answer 1

Answer:

Answer:

0.309

Step-by-step explanation:

→ Utilise the binomial distribution formula

$p=nCr*p^(n) *q^(n-r)$

→ It first will be 5C2 as there is 5 possible voters but he wants 2 voters

$p=5C2*p^(n) *q^(n-r)$

→ Then it will be $0.3^(2)$ as the probability they are in favour is 0.3 and we get the n from the 2 number for the 5C2

$p=5C2*0.3^(2) *q^(n-r)$

→ There for q will be 0.7 as it is the other probability left and the power will be 3 as it is n - r

$p=5C2*0.3^(2) *0.7^(3)$

→ Then getting 0.3087 which is 0.309

Answer 2

Answer:

Answer:

Option D) 0.309

Step-by-step explanation:

Correct on edge

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Simplify the expression. Please help, really stuck!!(-2y + 5)(y + 3)

A:-2y^2 + 8y + 15
B: -2y^2 - y + 15
C: 2y^2 + 8y + 8
D: 2y^2 - y + 8

Answers

(-2y + 5 ) ( y+3)
= -2y^2 -6y +5y +15
= -2y^2 - y +15
the answer is B

Answer:

Step-by-step explanation:

after elsa baked muffins, her brother ate 4 of them. he ate 2 5 of all of the muffins. how many muffins did elsa bake?

Answers

If you would like to know how many muffins did Elsa bake, you can calculate this using the following steps:

2/5 of all of the muffins = 4 muffins
2/5 * x muffins = 4
2/5 * x = 4 /*(5/2)
x = 4 * 5/2
x = 10 muffins

The correct result would be 10 muffins.

Answer:

10 muffins e2020 says

Step-by-step explanation:

The county fair charges $2.50 per ticket for the rides. Henry bought 15 tickets for the rides and spent a total of $55.50 at the fair. Henry spent his money only on ride tickets and far admission. The price of the fair admission is the same for everyone. Use x to represent the number of tide tickets and y to represent the total cost. (A) Find the cost of admission to the fair. Explain how you found the cost of admission.
(B) Write a linear equation that can be used to determine the cost for anyone who pays for ride tickets and fair admission.
(C) Explain what the coefficient on x and the constant of your linear equation represent.

Answers

Answer:

(A) $18

(B) $y=2.50x+18$

(C) Coefficient of x-term represents the cost for each ride ticket and constant term represents the cost of admission to the fair.

Step-by-step explanation:

(A)

The county fair charges $2.50 per ticket for the rides and Henry bought 15 tickets for the rides.

So, the total cost of the 15 tickets will be: $(\$2.50*15)= \$37.50$

He spent total $55.50 on ride tickets and fair admission.

So, the cost of admission to the fair will be: $(\$55.50-\$37.50)= \$18$

(B)

If $x$ represents the number of ride tickets and $y$ represents the total cost, then the cost for $x$ number of ride tickets is $\$2.50x$

So, the linear equation that can be used to determine the cost for anyone who pays for ride tickets and fair admission will be: $y= 2.50x+18$

(C)

In the above linear equation, coefficient of x-term is 2.50, which represents the cost for each ride ticket.

And the constant term is 18, which represents the cost of admission to the fair.

Final answer:

To find the cost of admission to the fair, subtract the cost of the ride tickets from the total spent. The linear equation 2.50x + y = 55.50 can be used to calculate the cost for anyone. The coefficient on x represents the cost per ride ticket, while the constant represents the total amount spent on ride tickets and admission.

Explanation:

(A) To find the cost of admission to the fair, we need to subtract the cost of the ride tickets from the total spent. Since Henry bought 15 tickets and spent a total of $55.50, we can use the equation 2.50x + y = 55.50, where x represents the number of ride tickets. Substituting x = 15, we can solve for y to find the cost of admission.

(B) The linear equation that can be used to determine the cost for anyone who pays for ride tickets and fair admission is 2.50x + y = 55.50, where x represents the number of ride tickets and y represents the cost of admission.

(C) In the linear equation, the coefficient on x (2.50) represents the cost per ride ticket. The constant (55.50) represents the total amount spent on ride tickets and admission.

Learn more about Calculating the cost of admission to a fair here:

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Heather wants to make a 36% acid solution.She has already poured 3 fl. oz. of a 72%
acid solution into a beaker. How many fl.
oz. of a 9% acid solution must she add to
this to create the desired mixture?

Answers

Answer:

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Answers

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