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3 years ago

how could you estimate the volume of the box if you didn't know anything except the volume of the cylinder inside it?

Mathematics

1 answer:

kobusy [5.1K]3 years ago

6 0

Answer:

Step-by-step explanation:

Since the box contains a cylinder, the height of the box must be gt; = cylinder height

And the area at the bottom of the box is definitely larger than the area at the bottom of the cylinder.

The area at the bottom of the cylinder is PI r squared,

If the bottom of the box is a square, then the area of the bottom is 4r^2, whereas the bottom tends to be polygon, which is equivalent to cutting the circle into equal parts by circle cutting.

So the area at the bottom of the box is $\lim_{ Number of polygon edges\to \infty} \pi r^{2}$ ，

It follows that the volume of the box is greater than the volume of the cylinder

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What is the domain of f(x) = 1/x

Kipish [7]

Answer:

(-∞,0)∪(0,∞)

Step-by-step explanation:

So we know that the domain is whatever X can be. We can do that by graphing the function. When we graph the function, you see that there is always an X value except at 1 point. That one point happens to be when x=0, and when x=0, the function also happens to be undefined (no number can be divided by 0). That is why the graph looks so weird. So, the answer would be

(-infinty,0) U (0, infinity)

5 0

3 years ago

24+0.44x=19+1.69x Can someone answer this real quick

abruzzese [7]

24 + 0.44x = 19 + 1.69x

Subtract 19 from both sides

5 + 0.44x = 1.69x

Subtract 0.44x from both sides

5 = 1.25x

Divide by 1.25 on both sides

4 = x

6 0

3 years ago

Olympic swimming pools are rectangles measuring 164.042 feet in length and 82.021 feet in width. What is the perimeter of an Oly

ser-zykov [4K]

To find perimeter you multiply.
164.042*82.021=13454.888888882 (8 repeating)

4 0

3 years ago

Raul received a score of 75 on a history test for which the class mean was 70 with a standard deviation of 7. He received a scor

JulsSmile [24]

Answer:

history test

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

He did better relative to the class in the test in which he had a higher Z score.

So:

History

Raul received a score of 75 on a history test for which the class mean was 70 with a standard deviation of 7. So we have $X = 75, \mu = 70, \sigma = 7$