PLEASE PLEASE HELP!!

Answer:

1) 0.4096 = 40.96% of waiting times are between 8 and 10.8 minutes.

2) 0.1401 = 14.01% of waiting times are less than 6.8 minutes.

3) 0.1788 = 17.88% probability that you are late.

4) The cutoff for the top 4% of waiting times is of 14.15 minutes.

5) The waiting time for the 30th percentile is of 8.235 minutes.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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.

Average of 9.60 minutes and a standard deviation of 2.60 minutes during peak hours.

This means that [tex]\mu = 9.6, \sigma = 2.6[/tex]

1) What proportion of waiting times are between 8 and 10.8 minutes?

This is the pvalue of Z when X = 10.8 subtracted by the pvalue of Z when X = 8. So

X = 10.8

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{10.8 - 9.6}{2.6}[/tex]

[tex]Z = 0.46[/tex]

[tex]Z = 0.46[/tex] has a pvalue of 0.6772

X = 8

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{8 - 9.6}{2.6}[/tex]

[tex]Z = -0.62[/tex]

[tex]Z = -0.62[/tex] has a pvalue of 0.2676

0.6772 - 0.2676 = 0.4096

0.4096 = 40.96% of waiting times are between 8 and 10.8 minutes.

2) What proportion of waiting times are less than 6.8 minutes?

This is the pvalue of Z when X = 6.8.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{6.8 - 9.6}{2.6}[/tex]

[tex]Z = -1.08[/tex]

[tex]Z = -1.08[/tex] has a pvalue of 0.1401

0.1401 = 14.01% of waiting times are less than 6.8 minutes.

3) You reach Wells Hall parking lot and your class starts in 12 minutes. What is the chance that you are late to class, that is waiting time is at least 12 minutes?

This is 1 subtracted by the pvalue of Z when X = 12. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{12 - 9.6}{2.6}[/tex]

[tex]Z = 0.92[/tex]

[tex]Z = 0.92[/tex] has a pvalue of 0.8212

1 - 0.8212 = 0.1788

0.1788 = 17.88% probability that you are late.

4) Based on your unpleasant experiences in the past you know that your waiting time is in the top 4%. What is the cutoff for the top 4% of waiting times?

The cutoff for the top 4% of times is the 100 - 4 = 96th percentile, which is X when Z has a pvalue of 0.96. so X when Z = 1.75.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.75 = \frac{X - 9.6}{2.6}[/tex]

[tex]X - 9.6 = 1.75*2.6[/tex]

[tex]X = 14.15[/tex]

The cutoff for the top 4% of waiting times is of 14.15 minutes.

5) What is the waiting time for the 30th percentile?

This is X when Z has a pvalue of 0.3. So X when Z = -0.525.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.525 = \frac{X - 9.6}{2.6}[/tex]

[tex]X - 9.6 = -0.525*2.6[/tex]

[tex]X = 8.235[/tex]

The waiting time for the 30th percentile is of 8.235 minutes.

An

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:  5, 18, 20, 25, 27, 35, 38, 40, 48, 60, 90

Step-by-step explanation: Count lol

Answer: 4 pounds of flour

Step-by-step explanation:

Answer:

for n ≤ 3

we are going to put a circle on the 3 and make it filled in then you are going to start an arrow starting from the 3 going to the left all the way to the -10.

Answer:

n ≥ -1 or n ≤ 3

Combined:

-1 ≤ n ≤ 3

Since the inequalities are ≤, it'll be a closed circle

The closed circle will start AT -1 and another closed circle will end at 3

Answer:

Step-by-step explanation:

area = (3x³y)(2xy + x⁵)

= 3x³y·2xy + 3x³y·x⁵

= 6x⁴y² + 3x⁸y

Answer:12

Step-by-step explanation:

12 : 16

divide by 4

3 : 4

that's it

math is so complicated like dang teacher give us a break

Answer:

the last two

Step-by-step explanation:

Answer:

that hard....

Step-by-step explanation:

Answer:

flase.,......,........

Answer:

true

Step-by-step explanation:

so like for example you say 0÷50

your answer will remain 0

Answer: Vertical angle proof

Step-by-step explanation: First off, this is really easy if you know how to do it. I think you should be able to figure it out. If you really are in collage. So Vertical angle proof, QPR is essentially (2x-30) but we need to find x. We know a triangle is 180 degrees and if it's a right angle then two angles add to 90.

So x+(2x+30)=90, 3x+30=90, 90-30=60, 3x=60, x=20. So there you have it. Now put x into the equation, 2(20)+30=70

70

Answer:

1. y= 1/3x+2

2.y=-3/4x-5

Step-by-step explanation:

Answer:

that looks nice

Step-by-step explanation:

the hair looks cool

Answer:

A: 8x + 19

Step-by-step explanation:

3(2x+3) = 6x + 9

2(x+5) = 2x + 10

6x+9 + 2x+10 = 8x + 19

Answer:

E = N × C

for

E: earnings

N: number sold

C: cost

she will make:

50 × 1.25 = $62.5

Answer:

lateral area of cylinder =2×pi ×radius×height

lateral area of cylinder =2×3.14×1×2

lateral area of cylinder=12.56 unit²

Answer:

11.5 ft

Step-by-step explanation:

Take the cone formula:

V = 3.14 * 1^2 * 11/3 = 11.5 ft

Answer:

180°

Step-by-step explanation:

You can rotate the equilateral triangle 180° to match the original orientation.

Answer:

[tex]y=\frac{3}{2}x+8[/tex]

Step-by-step explanation:

[tex]y=mx+b\\[/tex]

slope=m

[tex]y=-\frac{2}{3} x-1[/tex]

slope=[tex]-\frac{2}{3}[/tex]

slope=[tex]\frac{3}{2} ,(-4,2)[/tex]

[tex]y-y_{1} =m(x-1)\\\\y-_{2} =\frac{3}{2} (x-4)\\\\y-2=\frac{3}{2} x+6\\[/tex]

Add 2 to both sides

[tex]Answer:y=\frac{3}{2} x+8[/tex]

hope it helps!!

Answer:

-3,3 this is because that is where both of the lines intersect making them both a solution for both equations.

Step-by-step explanation:

Answer:

B. (-3, 3)

Step-by-step explanation:

Point of intersection of both the lines is the solution to both the equations.

Both the lines are intersecting each other at point (-3, 3)

So, ordered pair of solution is (-3, 3)

Answer:

70!

Step-by-step explanation:

If you divide the shape in rectangles, you'll just add it up in the end.

5 x 3 = 15

5 x 3 = 15

10 x 4 = 40

40 + 15 + 15 = 70.

Hope this helps!