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3 years ago

25/28=375/x. Use equivalent ratios to solve the proportion.

Mathematics

1 answer:

ANEK [815]3 years ago

4 0

X=420. You can find this by cross multiplying.

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Given that a cubit is equivalent to 17.7 in., find the volume of the ark in cubic feet.

Daniel [21]

Since an ark is 2.5 cubits in length and 1.5 cubits in width and height.

It is given that a cubit is equivalent to 17.7 in.

We have to determine the volume of the ark in cubic feet.

Since 1 feet = 12 inches.

Since, length = 2.5 cubits

= $2.5 \times 17.7$ inches

= 44.25 inches

= $\frac{44.25}{12}$

= 3.7 feet

Now, width = 1.5 cubits

= $1.5 \times 17.7$ inches

= 26.55 inches

= $\frac{26.55}{12}$

= 2.2 feet

Now, height = 1.5 cubits

= $1.5 \times 17.7$ inches

= 26.55 inches

= $\frac{26.55}{12}$

= 2.2 feet

SO, Volume of rectangular prism = $length \times width \times height$

So, Volume of ark= 3.7 $\times 2.2 \times 2.2$

= 17.9

= 18 cubic feet.

Therefore, the volume of an ark is 18 cubic feet.

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3 years ago

When you use the distance formula, you are building a(n) _____ whose hypotenuse connects two given points.

Novay_Z [31]

When using the distance formula, you are building a right triangle whose hypotenuse connects two given points. The correct answer is C, right triangle.

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3 years ago

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Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the pre

artcher [175]

Answer: The proportion of new car buyers that trade in their old car has statistically significantly decreased.

Step-by-step explanation:

Since we have given that

p = 48% = 0.48

n = 115

x = 46

So, $\hat{p}=\dfrac{46}{115}=0.40$

So, hypothesis would be

$H_0:\ p=\hat{p}\\\\H_a:p$

So, test value would be

$z=\dfrac{p-\hat{p}}{\sqrt{\dfrac{p(1-p)}{n}}}\\\z=\dfrac{0.48-0.40}{\sqrt{\dfrac{0.48\times 0.52}{115}}}\\\\z=\dfrac{0.08}{0.0466}\\\\z=1.72$

At 10% level of significance, critical value would be

z= 1.28

Since 1.28 < 1.72

So, we will reject the null hypothesis.

Hence, the proportion of new car buyers that trade in their old car has statistically significantly decreased.

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3 years ago

Mark all the relative minimum points in the graph

Vladimir [108]

Answer:

Step-by-step explanation:

(-6, 2) is the absolute minimum. There is no relative minimum.

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A group of randomly selected Clyde Marketing employees were asked what their most common form of transportation is. The bar grap

poizon [28]

Answer:

The answer is 88, trust.

Step-by-step explanation:

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3 years ago

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