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3 years ago

Graph f(x) = -1/2x click on the graph till f(x) =-1/2x appears

Mathematics

1 answer:

Effectus [21]3 years ago

4 0

Answer:

Step-by-step explanation:

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Suppose that 75% of all trucks undergoing a brake inspection at a certain inspection facility pass the inspection. Consider grou

RSB [31]

Answer:

b) 0.2961

c) 0.2251

d) Mean = 11.25, Standard deviation = 1.667

Step-by-step explanation:

We are given the following information:

We treat trucks undergoing a brake inspection passin as a success.

P( trucks undergoing a brake inspection passes the test) = 75% = 0.75

a) Conditions for binomial probability distribution

There are n independent trial.
Each trial have a success probability p
The probability of success is same for all trials.

Then the number of trucks undergoing a brake inspection follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 15

b) P(proportion of groups will between 8 and 10 trucks pass the inspection)

We have to evaluate:

$P(8\leq x \leq 10) = P(x = 8) + P(x = 9) + P(x = 10)\\= \binom{15}{8}(0.75)^8(1-0.75)^7 + \binom{15}{9}(0.75)^9(1-0.75)^6 + \binom{15}{10}(0.75)^{10}(1-0.75)^5\\= 0.0393 + 0.0917 + 0.1651\\= 0.2961$

c) P( exactly 3 trucks fail the inspection)

p = 0.25

$P(x = 3)\\= \binom{15}{3}(0.25)^3(1-0.25)^{12}\\=0.2251$

d) Mean and standard deviation

$\mu = np = 15(0.75) = 11.25\\\sigma = \sqrt{np(1-p)} = \sqrt{15(0.75)(1-0.75)} = 1.667$

6 0

3 years ago

Clark says that his parents car is 96 units long. Jay says that parents car is 8 units long. Which customary unit of length was

Ivahew [28]

96x8=768 and that would be your answer

4 0

3 years ago

Tiffany used her debit card to buy lunch for $9.72 on Wednesday. On Thursday, she deposited $9.72 back into her account. What is

Wittaler [7]

There is no overall increase or decrease in her bank account.

She spent $9.72 and later deposited the same exact amount.

So the over increase or decrease was $0.

I hope I've helped you! If you have any more questions let me know!

5 0

3 years ago

3. In the equation below, k is a constant. If x = 9, what is the value of k?<br> Vk + 2 - x = 0

miskamm [114]

10 for sure may have

4 0

3 years ago

Whats 20% of 40?<br> (find the percentage of the whole)<br> im also giving brainliest!!!

Nataliya [291]

0.2 x 40
=8
(change the percentage to a decimal)

6 0

3 years ago