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Tom [10]
3 years ago
11

Im really bad at this haha

Mathematics
2 answers:
expeople1 [14]3 years ago
5 0
The correct answer is B
algol [13]3 years ago
5 0
B is the correct answer.
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The time taken to assemble a laptop computer in a certain plant is a random variable having a normal distribution of 20 hours an
ludmilkaskok [199]

Answer:

a) 40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.

b) 34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

\mu = 20, \sigma = 2

a)Less than 19.5 hours?

This is the pvalue of Z when X = 19.5. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{19.5 - 20}{2}

Z = -0.25

Z = -0.25 has a pvalue of 0.4013.

40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.

b)Between 20 hours and 22 hours?

This is the pvalue of Z when X = 22 subtracted by the pvalue of Z when X = 20. So

X = 22

Z = \frac{X - \mu}{\sigma}

Z = \frac{22 - 20}{2}

Z = 1

Z = 1 has a pvalue of 0.8413

X = 20

Z = \frac{X - \mu}{\sigma}

Z = \frac{20 - 20}{2}

Z = 0

Z = 0 has a pvalue of 0.5

0.8413 - 0.5 = 0.3413

34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.

4 0
3 years ago
12. If 5t + 2 = 6, then t =
tankabanditka [31]
It would be t=0.8, mainly bc you subtract two from six , that reduces it to four 
then you divide four by five and it should give you your answer
and to chack your work put .8 where t was and solve 
6 0
3 years ago
Read 2 more answers
Let s(t) = 36 − t. find the equation of the tangent line to s(t) when t = 0.
tatiyna
When t = 0 the point on the graph is (0,36). Your equation is just a line and always has the same tangent line so your equation is the same s = 36 - t.
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3 years ago
Select three ratios that are equivalent to 7:6,
zavuch27 [327]

Answer: 12:14 21:18 42:36

4 0
2 years ago
How to divided the two numbers
Elina [12.6K]

Answer: 30

Step-by-step explanation:

5 in fraction form is 5/1. You can't divide fractions so you keep the 5/1 the same, turn the divide sign into a multiplication sign, then flip the 1/6 to 6/1 then multiply across. The answer would be 30/1 or 30.

7 0
3 years ago
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