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brilliants [131]
2 years ago
5

3 to the power of -2 as a fraction

Mathematics
1 answer:
mojhsa [17]2 years ago
4 0
0.03 is your answer yes
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Triangle A′B′C′ is a dilation of ​triangle ABC​ about point P with a scale factor of 12. Is the dilation a reduction or an enlar
djyliett [7]

Answer:

Enlargement

Step-by-step explanation:

If a scale factor is smaller than 1, it is a reduction, and if it's larger than 1, it's an enlargement.

4 0
3 years ago
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Which numbers are "rational" and which numbers are "irrational"?
taurus [48]

the 3rd one. hope this helps

7 0
3 years ago
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What is the area of the figure?
RUDIKE [14]
The area formula for rectangles is lxw. To solve, I would divide the figure up into 3 rectangles- top,middle and bottom, then find the areas and add them together.

Top: 4x13=52 cm^2
Middle: 5x8=40 cm^2
Bottom: 21x10=210 cm^2

(5 is the width of the middle piece. You get it from subtracting. 21-8-8=5. 13 is the width of the top piece. 5+8=13)

52+40+210
=302 cm^2
So your answer is 302 square centimetres.
6 0
3 years ago
The U.S. Dairy Industry wants to estimate the mean yearly milk consumption. A sample of 21 people reveals the mean yearly consum
PIT_PIT [208]

Correct question is;

The U.S. Dairy Industry wants to estimate the mean yearly milk consumption. A sample of 21 people reveals the mean yearly consumption to be 74 gallons with a standard deviation of 16 gallons.

a. What is the value of the population mean? What is the best estimate of this value?

b. Explain why we need to use the t distribution. What assumption do you need to make?

c. For a 90 percent confidence interval, what is the value of t?

d. Develop the 90 percent confidence interval for the population mean.

e. Would it be reasonable to conclude that the population mean is 68 gallons?

Answer:

A) Best estimate = 74 gallons

B) because the population standard deviation is unknown. The assumption we will make is that the population follows the normal distribution.

C) t = 1.725

D) 90% confidence interval for the population mean is (67.9772, 80.0228) gallons

E) Yes

Step-by-step explanation:

We are given;

Sample mean; x' = 74

Sample population; n = 21

Yearly Standard deviation; s = 16

A) We are not given the population mean.

So the closest estimate to the population mean would be the sample mean which is 74.

B) We are not given the population standard deviation and as such we can't use normal distribution. So what is used when population standard deviation is not known is called t - distribution table. The assumption we will make is that the population follows the normal distribution.

C) At confidence interval of 90% and DF = n - 1 = 21 - 1 = 20

From t-tables, the t = 1.725

D) Formula for the confidence interval is;

x' ± t(s/√n) = 74 ± 1.725(16/√21) = 74 ± 6.0228 = 67.9772 or 80.0228

Thus 90% confidence interval for the population mean is (67.9772, 80.0228) gallons

E) 68 gallons lies within the range of the confidence interval, thus we can say that "Yes, it is reasonable"

8 0
3 years ago
What is the slope of the line that passes through the points (1, 1) and (4, 4)?
gizmo_the_mogwai [7]

Answer:

The answer is 1

Step-by-step explanation:

Formula for finding the slope: \frac{y2-y1}{x2-x1}

Take y2 and y1 from (4,<u>4</u>) (1,<u>1</u>)

Take x2 and x1 from (<u>4</u>,4) (<u>1</u>,1)

\frac{y2-y1}{x2-x1}  = \frac{4-1}{4-1} = \frac{3}{3} = 1

This is how the answer is 1

Hope it helps :)

8 0
1 year ago
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