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2 years ago

Your boss hands you a memo with a summary of the monthly data.

Mathematics

1 answer:

lisov135 [29]2 years ago

7 0

Functions are used to represent tables and equations

The function that represents the number of imports is f(x) = 2x
The function that represents the number of exports is f(x) = 2 + x

<h3>How to determine the import function</h3>

From the table, we can see that the values of the import is twice the number of months

This is represented as:

y = 2x

Rewrite as a function

f(x) = 2x

Hence, the function that represents the number of imports is f(x) = 2x

<h3>How to determine the export function</h3>

From the table, we can see that the values of the export is two more than the number of months

This is represented as:

y = 2 + x

Rewrite as a function

f(x) = 2 + x

Hence, the function that represents the number of exports is f(x) = 2 + x

Read more about linear functions at:

brainly.com/question/15602982

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1. The US Mint has a specification that pennies have a mean weight of 2.5g. From a sample of 37 pennies, the mean weight is foun

Evgesh-ka [11]

Answer:

the pennies does not conform to the US mints specification

Step-by-step explanation:

z = (variate -mean)/ standard deviation

z= 2.5 - 2.4991 / 0.01648 = 0.0546

we are going to check the value of z in the normal distribution table, which is the table bounded by z.

checking for z= 0.0 under 55 gives 0.0219 (value gotten from the table of normal distribution)

we subtract the value of z from 0.5 (1- (0.5+0.0219)) = 0.4781 > 0.05claim

since 0.4781 > 0.05claim, therefore, the pennies does not conform to the US mints specification

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3 years ago

Please Help Me With This Math Problem

gizmo_the_mogwai [7]

Answer:

Yes the relationship is linear and given by:

$y+2=-\frac{5}{4} \,(x+9)$ (first option of your list)

Step-by-step explanation:

Yes, it is a linear expression. As we did in previous exercises, we calculate the difference between consecutive y values of the table, and write down the answers we get:

-7-(-2) = -7+2 = -5

-12-(-7) = -12 +7 = -5

-17 - (-12) = -17 + 12 = -5

We notice that all of them give "-5"

Now we evaluate the difference between consecutive x-values in a similar fashion:

-5 -(-9) = -5+9 = 4

-1-(-5) = -1+5 = 4

3-(-1) = 3+1 = 4

We see that they all give 4 as the difference.

That means that the rate of change $\frac{y_2-y_1}{x_2-x_1} =\frac{y_3-y_2}{x_3-x_2}=\frac{y_4-y_3}{x_4-x_3}=\frac{-5}{4}$

This means that the slope (rate of change) of the line is "-5/4"

We can now use the general point-slope form to write the equation of the line, using the first pair of the table as our selected point, and using "-5/4" for the slope:

$y-y_0=m\,(x-x_0)\\y-(-2)=-\frac{5}{4} \,(x-(-9))\\y+2=-\frac{5}{4} \,(x+9)$

which is the first expression listed among your possible answer choices.

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2 years ago

Find the percent increase. Round to the nearest percent

Dmitrij [34]

The percent increase is 18.18 repeating

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2 years ago

Jonah read 5 1/2 chapters in his book in 90 minutes how long does it take him to read one chapter?

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16.7 minutes is the answer.

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3 years ago

The second term in a geometric sequence is 20. The fourth term in the same sequence is 45/4 or 11.25. What is the common ratio i

kati45 [8]

$\bf \begin{array}{ccll}
n&term&value\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
2&a_2&20\\
3&a_3&20r\\
4&a_4&20rr\\
&&20r^2\\\\
&&\frac{45}{4}
\end{array}\implies \stackrel{4^{th}~term}{20r^2=\cfrac{45}{4}}\implies r^2=\cfrac{45}{80}
\\\\\\
r^2=\stackrel{simplified}{\cfrac{9}{16}}\implies r=\sqrt{\cfrac{9}{16}}\implies r=\cfrac{\sqrt{9}}{\sqrt{16}}\implies r=\cfrac{3}{4}$

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2 years ago