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vesna_86 [32]
2 years ago
14

Random question correct answer gets a heart and five stars(might do this on weekdays)

Mathematics
1 answer:
Bumek [7]2 years ago
7 0

Answer:

44

Step-by-step explanation:

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A company makes rubber rafts. 12% of them develop cracks within the first month of operation. 27 new rafts are randomly sampled
rewona [7]

The probability that the number of tested rafts that develop cracks is no more than 3 is <u>.00006</u>.

The true proportion, p for the population is given to 0.12.

Thus, the mean, μ, for the sample = np = 27*0.12 = 3.24.

The sample size, n, given to us is 27.

Thus, the standard deviation, s, for the sample can be calculated using the formula, s = √{p(1 - p)}/n.

s = √{0.12(1 - 0.12)}/27 = √0.003911 = 0.0625389.

We are asked to calculate the probability that the number of tested rafts that develop cracks is no more than 3, that is, we need to calculate P(X ≤3).

P(X ≤ 3)

= P(Z ≤ {(3 - 3.24)/0.0625389) {Using the formula z = (x - μ)/s}

= P(Z ≤ -3.8376114706)

= .00006 {From table}.

Thus, the probability that the number of tested rafts that develop cracks is no more than 3 is <u>.00006</u>.

Learn more about sampling distributions at

brainly.com/question/15507495

#SPJ4

8 0
1 year ago
A basketball coach has a bag containing 2 red, 5 orange, and 3 brown basketballs. The coach takes 2 basketballs from the bag for
Ronch [10]

Answer:

30%

Step-by-step explanation:

You add the total number of balls, which is 10. and then it is asking for brown balls and looking at the equation you know there are 3. so 3/10 is .30 which is 30%

5 0
3 years ago
Read 2 more answers
In Applied Life Data Analysis (Wiley, 1982), Wayne Nelson presents the breakdown time of an insulating fluid between electrodes
Ede4ka [16]

Answer:

xbar=14.3421

s=18.7920

Step-by-step explanation:

sample mean

xbar = ∑x/n = (0.20 + 0.73 + 0.99 +1.29 + 2.84 + 3.34 + 4.07 + 4.69 + 4.86 + 6.53 + 7.45 + 8.07 + 8.21 + 12.39 + 31.67 + 32.53 + 33.92 + 36.00 +72.72)/19=14.3421

where n stands for the size of the sample

sample deviation

s= \sqrt{}(∑(x_i - x bar )^2/(n-1)) = \sqrt{}(∑x_i^2 - n*xbar^2)/(n-1)) = \sqrt{}(0.20^2 + 0.73^2 + 0.99^2 +1.29^2 + 2.84^2 + 3.34^2 + 4.07^2 + 4.69^2 + 4.86^2 + 6.53^2 + 7.45^2 + 8.07^2 + 8.21^2 + 12.39^2 + 31.67 ^2+ 32.53^2 + 33.92^2 + 36.00^2 +72.72^2-19*14.3421^2)/(19-1)) = 18.7920

3 0
3 years ago
A random sample of 300 students is selected from a large group of students who use a computer-equipped classroom on a regular ba
8090 [49]

Answer:a

Step-by-step explanation:

4 0
3 years ago
Find the side of an equilateral triangle if its area is 25√3 cm2
Sever21 [200]

Answer:

10

Step-by-step explanation:

area=√3/4×a^2

100√3 = √3×a^2

a^2 = 100

a=10

side = 10

4 0
3 years ago
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