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kakasveta [241]
2 years ago
6

Someone please help ​

Mathematics
1 answer:
Mars2501 [29]2 years ago
5 0
YOUR AMSWER WOULD MOST LIKELY BE (C.)!
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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

  1. There are n independent trial.
  2. Each trial have a success probability p
  3. 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
Simplify the expression. 6(6) + 6(4)<br> a. 60<br> b. 10<br> c. 16<br> d. 12
Brums [2.3K]
60

Simplifying;
36+ 24
=60
4 0
3 years ago
Read 2 more answers
An artist used a scale factor of 1 in=8 ft to create a model of a building. if the actual building has a height of 64 feet, how
nalin [4]

Answer:

<em>Okay, so what I think you mean to ask what the scale factor between the model and actual building</em> is, so i crunched the numbers. if 1 in equaled 8 feet and the actual thing was 64 ft, then we can just say that 64 divided by 12 is 5.3, so the model could be

5.3 ft. is the size of the model

BUT

you said how many feet are they apart so in inches its 705, in ft its 58.75

Step-by-step explanation:

a foot is 12 in.

64/12 is 5.3

64 ft is 768 inches, and 5.3 is 63.

768-63 = 705.

there are 705 inches in difference, in feet its 58.75

8 0
2 years ago
Help me please! Am horrible at math.
lesya692 [45]

Answer:

Step-by-step explanation:

For a. the 14.7 represents the pressure that the air puts on you all the time.

For b. the d represents the depth you go under the surface of the water.

For c. we have to solve p(d) when d = 8:

p(8) = 14.7 + 0.445(8) so

p(8) = 14.7 + 3.56 and

p(8) = 18.26 psi

5 0
2 years ago
*HELP*
vladimir1956 [14]

Answer:

The answer is 1/8

Step-by-step explanation:

Hope this helps. So the question is asking you odds of 8 which is the denominator already. So then it asks the odd to pick eight. So thats how i got 1/8.

5 0
3 years ago
Read 2 more answers
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