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3 years ago

Circle O has a circumference of 367 cm.

Mathematics

1 answer:

Feliz [49]3 years ago

5 0

Answer:

Step-by-step explanation:

367 167

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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

It would be so greatly appreciated if you could help me with my geometry work!!!!

Zolol [24]

Answer:

m<BCA+m<BCD=180

Step-by-step explanation:

supplementary means that the angle measures add up to 180°, if you are using the definition of supplementary angles AND you have had a statement saying that two angles are supplementary, ALWAYS follow it with the sum of the measures of those angles equal 180 :)

4 0

3 years ago

The value of x = 60° 5 x 30°

nikklg [1K]

Answer:

Step-by-step explanation:

with reference angle 30°

perpendicular (p) = 5

hypotenuse (h) = x

Now

sin 30° = p / h

1 / 2 = 5 / x

x = 10

Hope it will help :)

6 0

3 years ago

42=3(2-3h) can someone plz answer and show me how to do this

maria [59]

You have to use distributive property.

4 0

3 years ago

Please help and show your work it’s due today

anygoal [31]

X = 15
shshshshshsshshsp

5 0

3 years ago