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Sholpan [36]
3 years ago
5

Thanks if u help and brainly

Mathematics
2 answers:
dmitriy555 [2]3 years ago
7 0

Answer:

Mode: 33     Mean: 35.5

Step-by-step explanation:

The mode of a data set is the number that appears most often.

So the mode of this set would be 33, since it appears twice.

The mean of a data set is the average of the numbers.

To find the mean (average), add all eight numbers together, then divide by eight...

<em>31 + 29 + 33 + 37 + 43 + 38 + 33 + 40 = </em><em>284</em>

<em>284 / 8 = </em><em>35.5</em>

So, the mean of the numbers is 35.5!

iogann1982 [59]3 years ago
6 0

the mean of the numbers is 35.5

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10. A triangular piece of fabric has an area of 45 square inches. If the
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Answer:

15

Step-by-step explanation:

Area of a triangle = 1/2 * base * height

Using the given information,

45 = 1/2 * L * 6

45 = 3L                                simplify

15 = L                                   divide both sides by 3

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3 years ago
For c = d(3.14), what is c when d = 100 show work
Katyanochek1 [597]

Answer:314

Step-by-step explanation: 3.14 x 100 = 314

Move the decimal two times to the right because there is two zeros

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3 years ago
1. Suppose that a theater charges a school group $4.50 per student to show a special film. Suppose that the theater's operating
elixir [45]

The functions I(x) and E(x) of the theatre's income and expenses are illustrations of linear functions.

<h3>The equation of the theatre's income</h3>

The theatre charges $4.50 per student.

Assume the number of students is x, the equation of the theatre's income would be:

I(x) = 4.5x

<h3>The equation of the theatre's expenses</h3>

The theatre expense per student is $1.25, and the operating cost on the staff is $130

The equation of the theatre's expenses would be:

E(x) = 1.25x + 130

<h3>Complete the table</h3>

Using the formulas I(x) = 4.5x and E(x) = 1.25x + 130, the complete table is:

Students, x  0       10        20     30      40      50      60    70

Income, I      0      45        90     135     180    225    270   315

Expenses, E 130  142.5   155    167.5   180   192.5   205  217.5

<h3>The graph of the theatre's income and expenses</h3>

See attachment

<h3>The pattern by which theatre's income and expenses increase</h3>

The functions I(x) and E(x) are linear functions.

So, the pattern with which the functions increase is a linear pattern.

<h3>The number of students when the theatre's income and expenses are equal</h3>

This means that:

I(x) = E(x)

So, we have:

4.5x = 1.25x + 130

Subtract 1.25 from both sides

3.25x = 130

Divide both sides by 3.25

x = 40

Hence, the number of students is 40

<h3>The theatre profit</h3>

This is the difference between the theatre expenses and their income.

So, we have:

P(x) = E(x) - I(x)

This gives

P(x) = 1.25x + 130 - 4.5x

Simplify

P(x) = 130 - 3.25x

<h3>Solution to the inequalities</h3>

We have:

E(x) < 255

This gives

1.25x + 130 < 255

Subtract 130 from both sides and divide by 1.25

x < 100 students

Also, we have:

I(x) > 675

This gives

4.5x > 657

Solve for x

x > 146 students

Hence, the number of students for the inequalities are less than 100 and greater than 146

Read more about linear equations and inequalities at:

brainly.com/question/11234618

8 0
2 years ago
Ronda has 34.27 in her checking account. She deposits $25.00 into her account and then writes a check for $59.99. What is Ronda'
Inga [223]
-0.72 because u can’t write a check and u don’t have the funds
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2 years ago
Solve for X. 5.4 + 0.2x = 7.09 Enter your answer as a decimal or as a mixed number in simplest form in the box. x =
FromTheMoon [43]

Answer:

x = 8.45

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5.4 + 0.2x = 7.09

Subtract 5.4 from both sides to leave 0.2x alone

0.2x = 1.69

Divide by 0.2 on both sides to isolate x

x = 1.69/0.2

x = 8.45

3 0
2 years ago
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