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Pavel [41]
2 years ago
11

What is the volume of this?

Mathematics
1 answer:
OLga [1]2 years ago
8 0

Answer:

<em>270 m³ </em>

Step-by-step explanation:

A_{triandle} = \frac{5*12}{2} = 30 m²

V_{triangular prism} = 30 × 9 = <em>270 m³</em>

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Based on the sample of 500 people, 42% owned cats. Calculate the test statistic. Round to two decimal places.
Tanzania [10]

Answer:

z= 3.63

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Step-by-step explanation:

Here p = 42% = 0.42

n= 500

We formulate our null and alternative hypotheses as

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From this we can find q which is equal to 1-p= 1-0.42 = 0.58

Taking p`= 0.5

Now using the z  test

z= p`- p/ √p(1-p)/n

Putting the values

z= 0.5- 0.42/ √0.42*0.58/500

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Since the calculated value does not fall in the critical region we reject our null hypothesis  and accept the alternative hypothesis that more than 42%  people owned cats.

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3 years ago
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Using the following image, if you EG = 59, what are x, EF, and FG.
Harman [31]

Answer:

x=6\,\,units\,,\,EF=34 \,\,units\,,\,FG=25\,\,units

Step-by-step explanation:

Given: EG =59 \,\,units

To find: x,EF,FG

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From the image, EG=EF+FG

Put EF=8x-14\,,\,FG=4x+1\,,\,EG=59

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x=6\,\,units\,,\,EF=34 \,\,units\,,\,FG=25\,\,units

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