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3 years ago

Simplify 1 to lowest terms and find an equivalent fraction that has a denominator of 32.

Mathematics

1 answer:

love history [14]3 years ago

6 0

Answer:

Option C

Step-by-step explanation: 3/4 x 8 will get 24 as the numerator and 32 as the denominator

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What is the volume of a square pyramid with base edges 24 feet and slant height 37

-Dominant- [34]

Answer: The volume of pyramid is 6720 ft³

Step-by-step explanation:

Given: Base edge of a square pyramid = 24 feet

Slant height = 37 feet

Therefore height of pyramid is given by

$h^2=l^2-\dfrac{1}{2} b^2$ where h is height, l is slant height and b is base edge of pyramid

So we have

$h^2= 37^2-(\dfrac{1}{2} \times 24)^2= 37^2-12^2=1225 \\\\\Rightarrow h= \sqrt{1225} =35$

Height of pyramid is 35 feet

Now the volume of a pyramid is given by

$V=b^2\dfrac{h}{3}$ where V is volume , b is base edge and h is height of pyramid

Therefore

$V= (24)^2\dfrac{35}{3} = 6720$

Hence , the volume of pyramid is 6720 ft³

7 0

3 years ago

Find the nonpermissible replacement for y in<br> this expression.<br> y + 9<br> y+7

BigorU [14]

Answer:

idk

Step-by-step explanation:

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3 years ago

Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.8 parts

Alexxandr [17]

Answer:

The value of the test statistic is $t = 2.67$

Step-by-step explanation:

The null hypothesis is:

$H_{0} = 7.8$

The alternate hypotesis is:

$H_{1} \neq 7.8$

Our test statistic is:

$t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

In this problem, we have that:

$X = 8.2, \mu = 7.8, \sigma = 0.6, n = 16$

Then

$t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$t = \frac{8.2 - 7.8}{\frac{0.6}{\sqrt{16}}}$

$t = 2.67$

The value of the test statistic is $t = 2.67$

5 0

3 years ago

Select which sets the number belongs to.(3) correct answers

slava [35]

Answer:

integer

Step-by-step explanation:

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2 years ago

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Johnny took the math test and got 20 out of 25 qustions correct; what grade did Johnny make on the test?

meriva

Answer:

B: 80%

Step-by-step explanation:

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3 years ago

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