An average person consumes 2,000 calories each day

Answer:

Step-by-step explanation:

Can the sides of a triangle have lengths 5, 8, and 11?

Part A

For Todd's class, we have this given info:

• mu = 70.6 = population mean of math scores
• sigma = 11.9 = population standard deviation of math scores

Compute the z score for x = 74.6

z = (x-mu)/sigma

z = (74.6 - 70.6)/(11.9)

z = 0.34 approximately

Side note: Convention usually has z scores rounded to two decimal places. If your teacher instructs otherwise, then go with those instructions of course.

Answer:  0.34

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Part B

For Garret's English class, we have:

• mu = 63.7
• sigma = 8.6

Compute the z score for x = 68.8

z = (x-mu)/sigma

z = (68.8 - 63.7)/(8.6)

z = 0.59 approximately

Answer:  0.59

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Part C

Garret has the higher z score, which means that Garret did relatively better to his classmates compared to Todd's performance (in relation to his classmates). The z score is the distance, in units of standard deviation, the score is from the mean. Positive z values are above the mean, while negative z values are below the mean.

Answer: Garret did relatively better

Answer:

4 times as great

Step-by-step explanation:

Compute the two different volumes and then compare them.

Smaller sphere:  V = (4/3) · π ·r²

Larger sphere:  V = (4/3) · π · (2r)²     = (4/3) · π · 4 · r²

Comparing these, one sees immediately that the volume of the larger sphere is 4 times as great as that of the smaller sphere.

Answer:

It's the first answer.

Step-by-step explanation:

As demonstrated through the image, the slope increases. Thus making it a positive slope.