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3 years ago

A company wants to determine the level of interest among its employees for an annual summer picnic. The company wants to survey

Mathematics

1 answer:

Alja [10]3 years ago

7 0

Answer: Use employee identification numbers to randomly select 200 employees

Step-by-step explanation:

Random sampling refers to a sampling technique whereby each sample has an equal chance of being selected. It is an unbiased representation of the entire population and this is vital in drawing conclusion.

From the options given, the best way to randomly choose these 200 employees will be to use employee identification numbers to randomly select 200 employees.

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If you know the area of a circular field is 6358.5 m2, what is the radius of the field?

diamong [38]

Answer:

r = 45 m.

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3 years ago

after 5 years of earning at an annual rate of 4 percent, an investment has earned 1200 in interest. determine the amount of the

8_murik_8 [283]

$\bf ~~~~~~ \textit{Simple Interest Earned}
\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\to &\$1200\\
P=\textit{original amount deposited}\\
r=rate\to 4\%\to \frac{4}{100}\to &0.04\\
t=years\to &5
\end{cases}
\\\\\\
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3 years ago

Find the point of intersection for the two functions through substitution. Show

Alex777 [14]

<h3>Answer: (-1, 11)</h3>

This means x = -1 and y = 11 pair up together.

================================================

Work Shown:

Set the two functions equal to one another. Solve for x.

f(x) = g(x)

-4x+7 = 2x+13

7 = 2x+13+4x ... adding 4x to both sides

7 = 6x+13

7-13 = 6x .... subtract 13 from both sides

-6 = 6x

6x = -6

x = -6/6 ... divide both sides by 6

x = -1

Use this x value in either function

f(x) = -4x+7

f(-1) = -4(-1)+7

f(-1) = 11

g(x) = 2x+13

g(-1) = 2(-1)+13

g(-1) = 11

Whichever function you pick, the input x = -1 leads to the output y = 11.

The point of intersection is (x,y) = (-1, 11)

Visual confirmation is shown below.

4 0

3 years ago