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vagabundo [1.1K]
3 years ago
11

Two spheres, one of radius 15 and the other of radius 33, have the same center. Find the side length of the largest cube that fi

ts between them.

Mathematics
1 answer:
Sophie [7]3 years ago
6 0

Answer: 18

Step-by-step explanation:

The detailed explanation is in the attached picture.

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Amanda went into the grocery business starting with five stores. After one year, she opened two more stores. After two years, sh
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Answer: The answer would be y = 2x, with x being the number of stores she added the year before.

Step-by-step explanation:

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2 years ago
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What is The prime factorization of 464
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4 is your answer bud
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3 years ago
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A train travels 16 miles in 20 minutes At this rate , how many minutes will it take to trace 12 miles?
VARVARA [1.3K]

Answer:

Write and solve an equation of ratios:

16 miles     20 min

-----------  = -----------

12 miles          x

Then 16x = 240, and x = 240/16 = 15.  

It will take 15 minutes to travel 12 miles.

3 0
2 years ago
Calls to a customer service center last on average 2.8 minutes with a standard deviation of 1.4 minutes. An operator in the call
Natali5045456 [20]

Answer:

The expected total amount of time the operator will spend on the calls each day is of 210 minutes.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

n-values of normal variable:

Suppose we have n values from a normally distributed variable. The mean of the sum of all the instances is M = n\mu and the standard deviation is s = \sigma\sqrt{n}

Calls to a customer service center last on average 2.8 minutes.

This means that \mu = 2.8

75 calls each day.

This means that n = 75

What is the expected total amount of time in minutes the operator will spend on the calls each day

This is M, so:

M = n\mu = 75*2.8 = 210

The expected total amount of time the operator will spend on the calls each day is of 210 minutes.

6 0
3 years ago
A line has a slope of $-\frac{3}{7},$ and its $y$-intercept is $(0,18)$. What is its $x$-intercept?
puteri [66]

Answer:

(42, 0)

Step-by-step explanation:

Since we know the slope and y-intercept we can write the equation of the line in slope-intercept form which is y = mx + b; therefore, the equation is y = -3/7x + 18. To find the x-intercept, we just plug in y = 0 which becomes:

0 = -3/7x + 18

-18 = -3/7x

x = 42

8 0
2 years ago
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