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2 years ago

What is 7 8/13 rounded to the nearest whole number?

Mathematics

1 answer:

vfiekz [6]2 years ago

6 0

Answer: The answer would be 8.

Step-by-step explanation: I'm going to assume you mean 7 8/13 is a mixed fraction. So you multiply the denominator, 13, multiply 7 to that, then add 8 to it and the denominator would be the same as before. That should give you 99/13. When you divide, you get around 7.6, rounding closest to 8.

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The manager of a bank recorded the amount of time each customer spent waiting in line during peak business hours one Monday. The

zavuch27 [327]

The standard deviation of the frequency distribution is 5.54

<h3>How to determine standard deviation?</h3>

The table of values is given as:

x f(x)

0-3 13

4-7 13

8-11 10

12-15 11

16-19 0

20-23 3

Rewrite the table by calculating the class midpoints:

x f(x)

1.5 13

5.5 13

9.5 10

13.5 11

17.5 0

21.5 3

Start by calculating the mean using:

$\bar x = \frac{\sum fx}{\sum f}$

This gives

$\bar x = \frac{1.5 * 13 + 5.5 * 13 + 9.5 * 10 + 13.5 * 11 + 17.5 * 0 + 21.5 * 3}{13 + 13 + 10 + 11 + 0 +3}$

Evaluate

$\bar x = 7.98$

The standard deviation is then calculated as:

$\sigma = \sqrt{\frac{\sum f(x - \bar x)^2}{\sum f }}$

So, we have:

$\sigma= \sqrt{\frac{13 * (1.5 - 7.98)^2 + 13 * (5.5 - 7.98)^2 + (9.5 - 7.98)^2 * 10 + (13.5 - 7.98)^2 * 11 + (17.5 - 7.98)^2 * 0 + (21.5 - 7.98)^2 * 3}{13 + 13 + 10 + 11 + 0 +3}}$

Evaluate

$\sigma= \sqrt{30.6496}$

Solve

$\sigma= 5.54$

Hence, the standard deviation is 5.54

Read more about standard deviation at:

brainly.com/question/15858152

#SPJ1

7 0

1 year ago

What is the common difference in the sequence 5, 10, 15, 20, 25,...?

Bas_tet [7]

The answer is D

You just need to subtract term 1 (5) from term 2 (10) to find the answer, and the common difference between each sequential term is 5

8 0

3 years ago

What is the volume of a rectangular prism with a length of 8 1/2 cm, width of 9 1/3 cm and a height of 12 2/5 cm?

AlekseyPX

I believe it is 864, I'm not 100% sure. But I think it is.

8 0

3 years ago

Read 2 more answers

A sector of a circle has a central angle of 45 . Find the area of the sector if the radius of the circle is 15 cm.

prohojiy [21]

Answer:

A = 28.125 * pi cm^2

A = 88.357 cm^2

Step-by-step explanation:

Area of a sector is 1/2 r^2 theta where theta is in radians

convert 45 degrees to radians

theta = 45 * pi/180 = pi/4

A = 1/2 * 15^2 * pi/4

A =1/2 * 225 * pi/4

A = 28.125 * pi cm^2

A = 88.357 cm^2

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3 years ago

The diagram below shows rectangle RSTU with two diagonals drawn.

Evgesh-ka [11]

Answer: The angles at each vertex of the rectangle are right angles

Step-by-step explanation:

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2 years ago