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2 years ago

Simplify by combining like terms. − 5 p + 4 m − 2 p + m

Mathematics

2 answers:

IrinaK [193]2 years ago

7 0

Answer:

-7p +5m

Step-by-step explanation:

− 5 p + 4 m − 2 p + m

Combine like terms

-5p -2p +4m +m

-7p +5m

Ainat [17]2 years ago

6 0

Answer:

-7p+5m

Step-by-step explanation:

See image below:) :)

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<img src="https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B2%7D%20-x%3D3x%5C%5C" id="TexFormula1" title="\frac{5}{2} -x=3x\\" alt="\frac

Triss [41]

Multiply by 2
5 - 2x = 6x
Add 2x
5 = 8x
Divide by 8
x = 5/8

8 0

2 years ago

416

nydimaria [60]

76 82 87 93 95 98

Mean -
76+82+87+93+95+98 = 531
531/6 = 88.5

Range -
98 - 76 = 22

Median -
Because there are 6 numbers you have to find the average of the middle two
87+93 = 180
180/2 = 90

Mode -
No number is repeated so there is no mode.

8 0

2 years ago

Read 2 more answers

What type of number is 0. 25726

Ad libitum [116K]

It is a rational number in the form of a decimal fraction.

4 0

3 years ago

The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day.

valina [46]

Answer:

A sample of 179 is needed.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.85}{2} = 0.075$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.075 = 0.925$ , so Z = 1.44.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

A previous study found that for an average family the variance is 1.69 gallon?

This means that $\sigma = \sqrt{1.69} = 1.3$

If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?

A sample of n is needed, and n is found for M = 0.14. So

$M = z\frac{\sigma}{\sqrt{n}}$

$0.14 = 1.44\frac{1.3}{\sqrt{n}}$

$0.14\sqrt{n} = 1.44*1.3$

$\sqrt{n} = \frac{1.44*1.3}{0.14}$

$(\sqrt{n})^2 = (\frac{1.44*1.3}{0.14})^2$

$n = 178.8$

Rounding up

A sample of 179 is needed.

7 0

2 years ago

2x to the second power + 5x + 4

horrorfan [7]

Answer:

Step-by-step explanation:

it might not be right

6 0

2 years ago