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Korvikt [17]
3 years ago
11

Suppose commute times in a large city are normally distributed and that 63.70% of commuters in this city take more than 22 minut

es to commute one-way. If the standard deviation of such commutes is 6.3 minutes, what is the mean commute?
Mathematics
1 answer:
USPshnik [31]3 years ago
6 0

Answer:

The mean is 24.205

Step-by-step explanation:

Firstly, we need to get the z-score

From the question, the probability we have is the probability that commuters take more than 22 minutes to commute one-way

So the probability we had was;

P( x > 22)

So we need the z-score corresponding to 63.70% or simply 0.637

We can use the standard normal distribution table to get this

Mathematically, from the standard normal distribution table this is -0.35

z-score = (x- mean)/SD

-0.35 = (22-mean)/6.3

22-mean = -2.205

mean = 22 + 2.205 = 24.205

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Charlotte is redecorating the master bedroom in her house. She has purchased a new bedroom set and also plans to paint the room
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Dimensions of the room------------------- >16*13
1 in---------------- >0.0833333 foot
3 in----------------- >x
x=3*.0833333=0.25 ft
Let
<span>C-------------- > dimensions of the piece of carpet that Charlotte must purchase
C-------------- > (16+2*0.25)*(13+2*0.25)---------- > (16.50)*(13.50)=222.75 ft</span>²
<span>
The answer a the question 1) is 16.50 feet X 13.50 feet</span>

The answer a the question 2) is 222.75 ft²

<span>3. How many hours should it take for the four-person crew to lay the flooring in Charlotte's bedroom?

if </span><span>two-person carpet crew can lay 50 square feet of carpet---------- > 1 hour</span><span>
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