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Gre4nikov [31]
2 years ago
14

Drag the missing word into place

Mathematics
1 answer:
seraphim [82]2 years ago
6 0

Answer:

kinetic energy

Step-by-step explanation:

When a person runs, their body must convert potential energy into kinetic energy.

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What is the area in square feet of a triangle with a height of 4.5 and base of 6.6
Andrew [12]

Answer:

14.85

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh where b is the base and h is the height

A =1/2 ( 6.6)(4.5)

A = 14.85

4 0
2 years ago
Read 2 more answers
The Hoover Dam generates an average of about 11,506,000 kilowatt-hours of electricity per day.
OLEGan [10]

Answer:

161,084,000

Step-by-step explanation:

7 x 11,506,000 = 80,542,000

80,542,000 x 2 = 161,084,000

6 0
2 years ago
Marko is buying carpet for his bedroom floor. His room measures 13 feet by 12 feet. How many square feet of carpet will Marko ne
Margaret [11]
I think the answer is 156, I got this by multiplying 12 times 13.
4 0
3 years ago
Read 2 more answers
How do I solve for x??
Cloud [144]

The two angles given are vertical angles which mean they are the same.

x +40 = 60

Subtract 40 from both sides:

x = 20

4 0
3 years ago
Read 2 more answers
An environmental group conducted a study to determine whether crows in a certain region were ingesting food containing unhealthy
nydimaria [60]

Part A

Given info:

  • xbar = sample mean = 4.90 ppm
  • s = sample standard deviation = 1.12 ppm
  • n = 23 = sample size

Because n > 30 is not true, and we don't know the population standard deviation (sigma), this means we must use a T distribution.

The degrees of freedom here are n-1 = 23-1 = 22.

At 90% confidence and the degrees of freedom mentioned, the t critical value is roughly t = 1.717

Use a T distribution table or calculator to determine this. If you don't have a calculator for the task, then you can search out "inverse T calculator" and there are tons of free options to pick from.

The margin of error E is

E = t*s/sqrt(n)

E = 1.717*1.12/sqrt(23)

E = 0.400982

This is approximate and accurate to 6 decimal places.

The confidence interval is going to be xbar plus or minus that E value

L = lower bound = xbar - E = 4.90 - 0.400982 = 4.499018 = 4.50

U = upper bound = xbar + E = 4.90 + 0.400982 = 5.300982 = 5.30

The confidence interval in the format of (L, U) is (4.50, 5.30)

You could also express it as the format L < mu < U and it would be 4.50 < mu < 5.30; however, I'll stick to the first method.

<h3>Answer:  (4.50, 5.30)</h3>

=====================================================

Part B

Since we know sigma = 2.6 is the population standard deviation, we can use a Z distribution now.

At 90% confidence, the z critical value is roughly 1.645; use a table or calculator to determine this.

n = \left(\frac{z*\sigma}{E}\right)^2\\\\n \approx \left(\frac{1.645*2.6}{0.03}\right)^2\\\\n \approx 20325.254444 \\\\

Round this up to the nearest integer to get 20326. For min sample size problems, <u>always</u> round up.

<h3>Answer: 20326</h3>
6 0
2 years ago
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