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3 years ago

Simplify the expression.

Mathematics

2 answers:

erik [133]3 years ago

7 0

Answer:

5.1

Step-by-step explanation:

OlgaM077 [116]3 years ago

6 0

Answer:

5.1

Step-by-step explanation:

-44.288-31.6 / -3.1(6-1.2)

Add -44.288 and -31.6

= -75.888 / -3.1(6-1.2)

Subtract 1.2 from 6

= -75.888 / -3.1(4.8)

Multiply -3.1 and 4.8

= -75.888 / -14.88

Divide -75.888 by -14.88

-75.888 / -14.88

=5.1

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Solve this equation for A:A ÷ 2 = 4 A. 2 B. 6 C. 8 D. 4

algol13

Answer:

C) 8

Step-by-step explanation:

A ÷ 2 = 4

Get the 2 and 4 on the same side of the equal sign

A = 2 * 4

Multiply

A = 8

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3 years ago

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A family buys a refrigerator that costs € 840 paying a 30% cash deposit and the rest in 6 monthly installments, what is the amou

krok68 [10]

Answer:

€98.

Step-by-step explanation:

A 30% deposit is 0.30 * 840

= €252.

So there is 840 - 252

= €588 left to pay.

The amount of each monthly instalment

= 588 / 6

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3 years ago

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Which of the following is the correct slope-intercept form of the equation -4x + 2y = 14? y = 4x + 14 y = -4x + 14 y = 2x + 7 y

DerKrebs [107]

Answer:

Step-by-step explanation:

The slope intercept form equation of a straight line is expressed as

y = mx + c

Where

m represents slope

c represents y intercept.

Comparing the given equations with the slope intercept form equation,

2) y = 4x + 14 is in the slope intercept form. Its slope is 4 and the intercept is 14.

3) y = -4x + 14 is in the slope intercept form. Its slope is - 4 and the intercept is 14.

4) y = 2x + 7 is in the slope intercept form. Its slope is 2 and the intercept is 7.

5) y = -2x + 7 is in the slope intercept form. Its slope is - 2 and the intercept is 7.

6 0

3 years ago

A sample of 25 undergraduates reported the following dollar amounts of entertainment expenses last year:

marin [14]

Answer:

$Range = 85$

$\sigma = 28.71$

$Interval = [666.78, 781.62]$

Step-by-step explanation:

Given

The data for 25 undergraduates

Solving (a): Range and Standard deviation

The range is:

$Range = Highest - Least$

From the dataset:

$Highest = 772$

$Least = 687$

So:

$Range = Highest - Least$

$Range = 772-687$

$Range = 85$

The standard deviation is:

$\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n}}$

First, calculate the mean

$\bar x = \frac{769 +691 +............+715}{25}$

$\bar x = \frac{18105}{25}$

$\bar x = 724.2$

So, the standard deviation is:

$\sigma = \sqrt{\frac{(769-724.2)^2 +(691-724.2)^2 +(699-724.2)^2 +(730-724.2)^2 +............+(715-724.2)^2}{25}}$

$\sigma = \sqrt{\frac{20604}{25}}$

$\sigma = \sqrt{824.16}$

$\sigma = 28.71$

Solving (b): The interval of the 95% of the observation.

Using the emperical rule, we have:

$Interval = [\bar x - 2*\sigma, \bar x+ 2*\sigma]$

$Interval = [724.2 - 2*28.71, 724.2 + 2*28.71]$

$Interval = [666.78, 781.62]$

4 0

3 years ago

Study the function below. f(x) = 4x + 2 Label the function as proportional or non-proportional. Explain your reasoning.

Darina [25.2K]

No because it has to pass the origin of (0,0) but it is 2 units above the origin (0,2) so it will never cross it proportionally.

7 0

3 years ago