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3 years ago

Evaluate the numerical expression. −8.1 – 3.5 ÷ (−0.5)

Mathematics

1 answer:

beks73 [17]3 years ago

5 0

The answer is -1.1
Hope you get it right

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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

2 years ago

7). John had 9 pieces of gum at the

Dmitry_Shevchenko [17]

Answer:

9-1=8

Step-by-step explanation:

he started with 9 but at the end of the day he had 8. meaning he ate 1 peice

7 0

2 years ago

Someone please help me

Anika [276]

Answer:

Step-by-step explanation:

Given

a = $\frac{1}{x}$ - $\frac{1}{y}$ = $\frac{y-x}{xy}$ ← as a single fraction

Thus

$\frac{1}{a}$ = $\frac{1}{\frac{y-x}{xy} }$ = $\frac{xy}{y-x}$ → A

6 0

3 years ago

The data from the U.S. Census Bureau for 1982−2003 shows that the surface area of the United States that is covered by rural lan

Wewaii [24]

If we plug in 0 for x, we can receive the data for the year 1982. Doing so shows us that the Rural area was 1,417.4 million acres and the total area was 1,839.4 million acres. Therefore, we can conclude that the majority of the area of the United States was rural in 1982.

5 0

3 years ago

A dog is standing 5 feet from the base of a tree, looking up at a cat that has climbed 16 feet up the tree. What is the angle of

Katena32 [7]

Answer:

x=72.6

Step-by-step explanation:

use inverse trig because your finding a missing angle. use tan because you haved opp/adj

tan-1=(16/5)

x=tan-1(16/5)

*use a calculator

x=72.6

5 0

3 years ago