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Degger [83]
3 years ago
13

The average commute to work (one way) is 25 minutes according to the 2005 American Community Survey. If we assume that commuting

times are normally distributed and that the standard deviation is 6.1 minutes, calculate the probability that a randomly selected commuter spends for the following cases.
1. More than 31 minutes commuting one way.
2. Less than 8 minutes commuting one way.
Mathematics
1 answer:
Stolb23 [73]3 years ago
7 0

Answer:

1. 0.1635

2. 0.0026

Step-by-step explanation:

The computation of the probability in the following cases are as follows:

1.

Given that

Mean = 25 minutes

ANd, the standard deviation is 6.1 minutes

So here the z score would be

= (31 - 25) ÷(6.1)

= 0.98

Now the probability is

= P(Z>0.98)

= 0.1635

2. the z score would be

= (8 - 25) ÷(6.1)

= -2.79

Now the probability is

= P(Z<-2.79)

= 0.0026

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Step-by-step explanation:

Question 6 explanation: Since the expression is 22 crowns plus 13 ribbons plus 2 ribbons plus 4 crowns, you can think of the different items as variables in an equation. Picture crowns are the variable x, and ribbons as the variable y, this will help you solve the equation in an easier way that allows you to comprehend each step better. The equation will now be 22x+13y+2y+4x, in order to find how many x (crowns) and y (ribbons) you have, you need to combine like terms in the expression. In other words, add the terms with the variable x together, and add the terms with the variable y together. Simplified, the equation will be 26x+15y. Since the variables x and y were used to represent crowns and ribbons respectively, that means the correct answer is 26 crowns plus 15 ribbons.

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3 years ago
How do I describe the real zeroes of this function using Descartes's Rule of Signs?
Serhud [2]
The number of positive roots is the number of changes of signs there are, then decrease by 2 each time and stop when you get to 1 or 0

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y=+2x⁵-x⁴-2x³+4x²+x-2
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