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3 years ago

Solve each word problem using a system of equations. Use substitution or elimination.

Mathematics

1 answer:

nasty-shy [4]3 years ago

4 0

Answer:

Step-by-step explanation:

x + 3y = 24.....multiply by -1

5x + 3y = 36

------------------

-x - 3y = -24 (result of multiplying by -1)

5x + 3y = 36

------------------add

4x = 12

x = 12/4

x = 3 <=======

x + 3y = 24

3 + 3y = 24

3y = 24 - 3

3y = 21

y = 21/3

y = 7 <========

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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

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7 0

1 year ago

The answer ASAP I don’t understand this at all

RSB [31]

Answer:

T = 530N + 250

Step-by-step explanation:

For the first plan, Heather will deposit $250 and then save $135 per month.

So, that is 250 + (135 x N) where N is the number of months she saves the $135.

So if it is for 3months,

We will have:

t¹ = 135N + 250

= 250 + (135 x 3)

= 250 + 405

= $655

For the second plan, there is no initial deposit, but she will save $395 per month.

That is 395 x N

t² = 395N

For 3months, we have 395 x 3 = $1185

Therefore the total for both plans in 3months = 655 + 1185 = $1840

Equation relating T to N

T = t¹ + t²

T = (135N + 250) + 395N

T = 135N + 250 + 395N

T = 530N + 250

5 0

3 years ago

An event manager recorded the number of people in different age groups that attended a music concert.

ehidna [41]

The third data table accurately represents data in the histogram.
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