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steposvetlana [31]

3 years ago

10

A,B,C, or D? __________

1 answer:

boyakko [2]3 years ago

8 0

Pretty sure it’s A it crosses at positive 3 and goes 3up and 4 to the side

You might be interested in

The probability that your call to a service line is answered in less than 30 seconds is 0.75. Assume that your calls are indepen

vfiekz [6]

Answer:

a) 0.2581

b) 0.4148

c) 17

Step-by-step explanation:

For each call, there are only two possible outcomes. Either they are answered in less than 30 seconds. Or they are not. The probabilities for each call are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

$p = 0.75$

a. If you call 12 times, what is the probability that exactly 9 of your calls are answered within 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is $P(X = 9)$ when $n = 12$ . So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 9) = C_{12,9}.(0.75)^{9}.(0.25)^{3} = 0.2581$

b. If you call 20 times, what is the probability that at least 16 calls are answered in less than 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is $P(X \geq 16)$ when $n = 20$

So

$P(X \geq 16) = P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 16) = C_{20,16}.(0.75)^{16}.(0.25)^{4} = 0.1897$

$P(X = 17) = C_{20,17}.(0.75)^{17}.(0.25)^{3} = 0.1339$

$P(X = 18) = C_{20,18}.(0.75)^{18}.(0.25)^{2} = 0.0669$

$P(X = 19) = C_{20,19}.(0.75)^{19}.(0.25)^{1} = 0.0211$

$P(X = 20) = C_{20,20}.(0.75)^{20}.(0.25)^{0} = 0.0032$

So

$P(X \geq 16) = P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) = 0.1897 + 0.1339 + 0.0669 + 0.0211 + 0.0032 = 0.4148$

c. If you call 22 times, what is the mean number of calls that are answered in less than 30 seconds? Round your answer to the nearest integer.

The expected value of the binomial distribution is:

$E(X) = np$

In this question, we have $n = 22$

So

$E(X) = 22*0.75 = 16.5$

The closest integer to 16.5 is 17.

7 0

3 years ago

Tony has 23 gallon of milk. He wants to equally share the milk between 3 milkshakes. Which expression represents the amount of m

DiKsa [7]

Answer:

Amount of milk in each milkshake = 7 2/3 gallons

Step-by-step explanation:

Gallons of milk = 23 (given)

Number of Milkshakes = 3

Because the gallons of milk were shared equally,

Amount of milk in each milkshake = 23/3 = 7 2/3 gallons of milk

5 0

3 years ago

Can someone answer and do the working out please!

trasher [3.6K]

Answer:

y=−4

Step-by-step explanation:

Let's solve your equation step-by-step.

7y−4=−32

Step 1: Add 4 to both sides.

7y−4+4 =−32+4

7y =−28

Step 2: Divide both sides by 7.

7y/7 = −28/7

y=−4

(/:divide) Hope it helps!!

4 0

3 years ago

HELP!!! I'll be your best friend if you do! :D also BRAINLIEST!!!

Luba_88 [7]

I believe it is (2.5,-2)
Hope this helps

4 0

3 years ago

Place the following steps in order to complete the square and solve the quadratic equation, x^2 - 6x + 7 = 0.

kow [346]

Answer:

option f

option a

option d

option c

option e

option b

Step-by-step explanation:

we have x^2 - 6x + 7 = 0

f) x^2 - 6x = -7

a) x^2 - 6x + 9 = -7+9

d) (x-3)^2=2

c) $\sqrt{(x-3)^{2}} = +-\sqrt{2}$

e) x-3=+- $\sqrt{2}$

b) x=3+- $\sqrt{2}$

4 0

3 years ago

Read 2 more answers