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Tom [10]
3 years ago
9

Find the volume of a pyramid with a square base, where the perimeter of the base is 8.6 cm and the height of the pyramid is 8.1

cm. Round your answer to the nearest tenth of a cubic centimeter.
Mathematics
1 answer:
Ymorist [56]3 years ago
4 0

Answer:  12.5 CC

Step-by-step explanation:

V=1/3Bh where B is the area of the base and h is the height

The perimeter of the square base is 8.6 so each side is 2.15 and the area of the base is (2.15)^2 or 4.6225

V=1/3(4.6225)(8.1)=12.5cc

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Find the slope of the line through<br> 1) (15,3), (2,7)
Anuta_ua [19.1K]

Answer:

4/-13

Step-by-step explanation:

The formula for slope is y2-y1 over x2-x1.

5 0
3 years ago
A recent national survey found that high school students watched an average (mean) of 7.8 movies per month with a population sta
notka56 [123]

Answer:

Step-by-step explanation:

Given that :

Mean = 7.8

Standard deviation = 0.5

sample size = 30

Sample mean = 7.3 5.4772

The null and the alternative hypothesis is as follows;

\mathbf{ H_o: \mu  \geq  7.8}

\mathbf{ H_1: \mu  <  7.8}

The test statistics can be computed as :

z = \dfrac{X- \mu}{\dfrac{\sigma}{\sqrt{n}}}

z = \dfrac{7.3- 7.8}{\dfrac{0.5}{\sqrt{30}}}

z = \dfrac{-0.5}{\dfrac{0.5}{5.4772}}

z = - 5.4772

The p-value at  0.05 significance level is:

p-value = 1- P( Z < -5.4772)

p value = 0.00001

Decision Rule:

The decision rule is to reject the null hypothesis if  p value is less than 0.05

Conclusion:

At  the 0.05 significance level,  there is sufficient information to reject the null hypothesis. Therefore ,we  conclude that college students watch fewer movies a month than high school students.

8 0
4 years ago
A vehicle is traveling at a rate of 80 kilometers per hour. How many miles per hour is this?
Rudik [331]

Answer:

49.71 miles per hour

Step-by-step explanation:

The speed of the vehicle is at a rate of 80 kilometers per hour.

Convert km to miles.

80 kilometers = 49.7097 miles

The speed is approximately 49.71 miles per hour.

8 0
4 years ago
Read 2 more answers
What is 345 x 12? Plz tell me the answer
katovenus [111]
The answer is 4140
——————————
3 0
3 years ago
Hello!
Gnesinka [82]

Answer:

  • A. 2 < x < 10

Step-by-step explanation:

With two congruent sides the third side is greater against a greater angle.

<u>34 < 36, therefore:</u>

  • 3x - 6 < 24
  • 3x  < 30
  • x < 10

<u>And, the angle should have a positive value:</u>

  • 3x - 6 > 0
  • 3x > 6
  • x > 2

<u>Combined, we get:</u>

  • 2 < x < 10
8 0
3 years ago
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