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2 years ago

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The radius of Earth is 6,378.1 km, which is 326.1 km greater than the radius of Venus.

1 answer:

goblinko [34]2 years ago

3 0

They want the radius of Venus. With this info you know that Earth is 6378.1 km and Venus is 326.1 km smaller than that. So you would subtract 326.1 from 6378.1 6378.1-326.1=6052 therefore 6052 km is your answer.

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Given a soda can with a volume of 36 and a diameter of 4, what is the volume of a cone that fits perfectly inside the soda can?

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First we need to find the heigh of the soda can be rearanging the volume formula, . We can make that We know that V is 36 and radius is half of the diameter, so radius is 2.

h = 2.87

Now, we can use the height to figure out the volume of a cone. The volume of a cone is
R is 2 again and h is 2.87

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Part 1)

we have

the scale is $1:100,000$

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we know that

The scale is equal to the distance on a map divided by the real distance

Let

x------> distance on a map

y-------> real distance

S-------> scale

$S=\frac{x}{y}$

In this part we have

$S=\frac{1}{100,000}$

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$y=\frac{12}{(1/100,000)}$

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Part 2)

In this part we have

$S=\frac{1}{300,000}$

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Find the value of x

$x=S*y$

Substitute the values

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Convert to centimeters

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Answer:

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Step-by-step explanation:

We are given the following in the question:

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99% Confidence interval:

$\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.01} = \pm 2.58$

Putting the values, we get:

$0.28\pm 2.58(\sqrt{\frac{0.28(1-0.28)}{150}}) = 0.28\pm 0.095\\\\=(0.185,0.375)$

The 99% confidence interval for the true proportion of new cars with faulty catalytic converters is (0.185,0.375)

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Answer:

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