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san4es73 [151]
3 years ago
15

seventy percent of the students applying to a university are accepted. using the binomial probability function, what is the prob

ability that among the next 10 applicants exactly 1 will be rejected? Determine the expected number of acceptances? Compute the standard deviation?

Mathematics
1 answer:
liq [111]3 years ago
4 0
Check the attached file for the solution.

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What is the solution to 4(x-1)-2(3x+5)=-3x-1
Margarita [4]

To solve this problem, we need to get the variable x alone on one side of the equation. To begin, we are going to use the distributive property twice on the left side of the equation to expand the multiplication and get rid of the parentheses.

4(x-1) - 2(3x + 5) = -3x -1

4x - 4 -6x - 10 = -3x - 1

Next, we should combine like terms on the left side of the equation. This means we should add/subtract the variable terms and the constant terms in order to simplify this equation further.

-2x - 14 = -3x - 1

Then, we have to add 3x to both sides of the equation to get the variable terms all on the left side of the equation.

x - 14 = -1

After that, we should add 14 to both sides of the equation to get the variable x alone one the left side of the equation.

x = 13

Therefore, the answer is 13.

Hope this helps!

4 0
3 years ago
Read 2 more answers
Anita has 1 ¼ as much money as Tonya , and Tonya has ⅔ ( two-
Debora [2.8K]

Answer:

b

Step-by-step explanation:

6 0
3 years ago
6. Identify the recursive formula for the sequence 3, –15, 75, –375, . . .
vlada-n [284]

Answer:

first option

Step-by-step explanation:

There is a common ratio r between consecutive terms in the sequence, that is

r = - 15 ÷ 3 = 75 ÷ - 15 = - 375 ÷ 75 = - 5

The recursive formula allows a term in the sequence to be found by multiplying the previous term by r , thus

f(n) = - 5f(n - 1) if n > 1

with f(1) = 3 ← first term

4 0
3 years ago
You and your friend are comparing two loan options for a $165,000 house. Loan 1 is a 15-year loan with an annual interest rate o
Harlamova29_29 [7]

Answer:

No, he is wrong.

Step-by-step explanation:

Since, the total payment of a loan after t years,

A=P(1+r)^t

Where,

P = present value of the loan,

r = rate per period ,

n = number of periods,

Given,

P = $165,000,

In loan 1 :

r = 3% = 0.03, t = 15 years,

So, the total payment of the loan is,

A_1 = 165000(1+0.03)^{15}=165000(1.03)^{15}\approx \$ 257,064.62

In loan 2 :

r = 4% = 0.04, t = 30 years,

So, the total payment of the loan is,

A_2 = 165000(1+0.04)^{30}=165000(1.04)^{30}\approx \$ 535,160.59

Since, A_1 < A_2

Hence, total amount repaid over the loan will be less for Loan 1.

That is, the friend is wrong.

7 0
2 years ago
Jimmy can run 3.5 miles in 20 minutes. how far can ne run in one hour and ten minutes?
prisoha [69]

Hello There!

Before we start, I am going to divide 3.5 by 2 because then we can multiply by 7 to see how far Jimmy can run in 70 minutes.

Jimmy can run 1.75 miles in 10 minutes.

To find out how many miles he can run in 70 minutes, we just multiply 1.75 by 7 and we get a product of 12.25

Jimmy Can Run 12.25 Miles In 70 Minutes

5 0
3 years ago
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