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ZanzabumX [31]
3 years ago
6

Terrence walks 1/3mile in 1/12 hour. What is his walking speed in Miles per hour?

Mathematics
1 answer:
ohaa [14]3 years ago
4 0

1/3 x 3 is one mile which is then 3/12 hours or 1/4 hours. Now multiply by 4 and you have

\frac{4 \: miles}{per \: hour}

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Which of these polygons is not formed by the cross-section created when a plane intersects a cube? Select all that are possible.
lakkis [162]

Answer:

Circle

Octagon

Step-by-step explanation:

There are no curves in a cube to make a circular cross section, and there aren't enough edges to make an octagon (just visualize)

8 0
3 years ago
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Hospital records show that a certain surgical procedure takes on an average 111.6 minutes with a standard deviation of 2.8 minut
Arisa [49]

Answer:

At least 37.74% of the procedures takes between 97.6 and 125.6 minutes

Step-by-step explanation:

The percentage is the area of the standard normal distribution curve between the values 97.6 and 125.6

The standard normal variate of the given data is found as

Z=\frac{X-\overline{X}}{\sigma }

Thus for the given values Z is calculated as under

Z_1=\frac{97.6-111.6}{2.8}=-5

Similarly for the other value we have

Z_2=\frac{125.6-111.6}{2.8}=5

Thus the area between the calculated values can be found from standard normal distribution table to be 37.74%

8 0
3 years ago
The largest ball of yarn ever created has a radius of 6 feet. It took 30 years to create.
ch4aika [34]

Answer:

904.32 cubic ft

Step-by-step explanation:

To find the volume of a sphere, the formula is 4\pi\frac{r^3}{3}

First, 3.14 * 4 for 12.56.

The radius is 6, and that cubed is 216.

After that, divide 216 by 3 for 72

Then, 12.56 times 72, which gets you the final answer of  904.32 cubic ft.

(10 * 72) + (2 * 72) + (0.5 * 72) + (0.06 * 72)

720 + 144 = 864

864 + 36 = 900

900 + 4.32 = 904.32

6 0
2 years ago
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Professors at a local university earn an average salary of $80,000 with a standard deviation of $6,000. The salary distribution
Sladkaya [172]

Answer:

d. It is at most 25 percent.

Step-by-step explanation:

According to Chebyshev's inequality, for a given number of standard deviations, k, no more than 1/k² can be more than k standard deviations from the mean. In this situation the amount of standard deviations from the mean of the upper and lower bound of salaries are:

U=\frac{\$92,000-\$80,000}{\$6,000}=2\\L = \frac{\$80,000-\$68,000}{\$6,000}= 2

For k = 2, applying Chebyshev's inequality:

P( \$68,000 \leq X \leq \$92,000)= \frac{1}{2^2} = 0.25

Therefore, at most 25% of the salaries are less than $68,000 or more than $92,000.

7 0
2 years ago
3^x/3^y = 81<br> What is x - y?
Cerrena [4.2K]

If (3)

x+y

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x−y

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Step-by-step explanation:

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2 years ago
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