Mary did 20 jumping Jacks on Monday, 30 jumping Jacks on on Tuesday, and 20 jumping Jacks on Wednesday.

Making handcrafted pottery generally takes two major steps: wheel throwing and firing. The time of wheel throwing and the time o

9966 [12]

Answer:

a) 8.23% probability that a piece of pottery will be finished within 95 minutes

b) 0.28% probability that it will take longer than 110 minutes.

Step-by-step explanation:

Normal distribution:

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.

Two variables:

Means $\mu_{a}, \mu_{b}$

Standard deviations $\sigma_{a}, \sigma_{b}$

Sum:

$\mu = \mu_{a} + \mu_{b}$

$\sigma = \sqrt{\sigma_{a}^{2} + \sigma_{b}^{2}}$

In this question:

$\mu_{a} = 40, \mu_{b} = 60, \sigma_{a} = 2, \sigma_{b} = 3$

So

$\mu = \mu_{a} + \mu_{b} = 40 + 60 = 100$

$\sigma = \sqrt{\sigma_{a}^{2} + \sigma_{b}^{2}} = \sqrt{4 + 9} = 3.61$

A) What is the probability that a piece of pottery will befinished within 95 minutes?

This is the pvalue of Z when X = 95.

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

$Z = \frac{95 - 100}{3.61}$

$Z = -1.39$

$Z = -1.39$ has a pvalue of 0.0823

8.23% probability that a piece of pottery will befinished within 95 minutes.

B) What is the probability that it will take longer than 110 minutes?

This is 1 subtracted by the pvalue of Z when X = 110.

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

$Z = \frac{110 - 100}{3.61}$

$Z = 2.77$

$Z = 2.77$ has a pvalue of 0.9972

1 - 0.9972 = 0.0028

0.28% probability that it will take longer than 110 minutes.

5 0

3 years ago

3<br>An aeroplane flies 4200 km at a speed of 800 km/ how long is the flight

sergij07 [2.7K]

The flight is 5.25 hours long
Hope this helps :)

5 0

3 years ago

38 + 7k=8(k + 4)<br><br> Please help. <3

Jobisdone [24]

K=6
Pls mark me brainliest

3 0

3 years ago

Read 2 more answers

I need help! ASAP!! please and thank you

Neko [114]

Answer: The walking path around it.

Step-by-step explanation:

Remember the Pythagorean's theorem, for a triangle rectangle with catheti A and B, and with hypotenuse H, we have:

A^2 + B^2 = H^2

or

H = √(A^2 + B^2)

Here, A + B is the total distance for the path, while the hypotenuse is the distance for the bridge

Here we can see that:

A = 1170 ft

B = 520 ft

Then:

H = √( (520 ft)^2 + (1170 ft)^2) = 1280.4 ft

Now, let's compute the costs.

For the bridge, we know that each foot costs $11, then for 1280.4 ft the cost is:

Cost of the bridge = (1280.4)*$11 = $14,084.4

And for the walking path, the cost is $6 per foot, then the total cost of the path is:

Cost of the path = (520 ft + 1170 ft)*$6 = $10,140

We know that the bridge is preferred if it is within the range of $1500 for the path's cost.

This range is:

($10,140 - $1,500, $10,140 + $1,500) = ($8,640, $11,640)

Here we can see that the cost of the bridge does not belong to this range, (is higher) so the option we should recommend is the walking path around.

8 0

3 years ago

Answers: Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Explain.

MArishka [77]

Answer: Median for both Bakery A and B

Step-by-step explanation:

Because none of the data is symmetric

8 0

3 years ago