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4 years ago

-5 -(15y - 1) = 2(7y - 16) -y

1 answer:

7 0

-5-(15y-1) = 2(7y-16) - y // question
-5-15y+1 = 14y-32-y // distribute
-15y - 4 = 13y - 32 // subtract
-28y = -28 // divide
y = 1

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Arnold is planning on painting a mural. Before painting the mural, Arnold painted the picture on a paper that is 5 inches wide a

sukhopar [10]

Answer:

0.42 ft

0.92 ft

Step-by-step explanation:

Width of mural on painting = 5 inches

Height of mural on painting = 11 inches

12 inches of the painting represents 1 foot of the mural

1 inch of the painting represenets $\dfrac{1}{12}$ foot of the mural.

$5\ \text{inches}=5\times \dfrac{1}{12}=0.42\ \text{ft}$

$11\ \text{inches}=11\times\dfrac{1}{12}=0.92\ \text{ft}$

The width of the mural is 0.42 ft and height of the mural is 0.92 ft.

5 0

3 years ago

Evaluate the following expression: 2^3

maw [93]

2^3=2×2×2
2^3=4×2
2^3=8

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3 years ago

Read 2 more answers

A researcher studying reaction time of drivers states that, "A 95% confidence interval for the mean time (8.1) it takes for a dr

Sergio039 [100]

Answer:

For this case we know that the confidence interval is given by (1.2 , 1.8) and the point of estimate for $\mu$ would be:

$\bar X = \frac{1.2+1.8}{2}= 1.5$

And the margin of error is given by:

$ME = \frac{1.8-1.2}{2}= 0.3$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

For this case we know that the confidence interval is given by (1.2 , 1.8) and the point of estimate for $\mu$ would be:

$\bar X = \frac{1.2+1.8}{2}= 1.5$

And the margin of error is given by:

$ME = \frac{1.8-1.2}{2}= 0.3$

6 0

4 years ago

The function f(x) = 200(0.5)x/50 models the amount in pounds of a particular

victus00 [196]

<u>Answer:</u>

29 years

<u>Step-by-step explanation:</u>

Given the function $f(x)= 200(0.5)^{\frac{x}{50} }$ , where x stands for the number of years since the material was put into the vault, we can plug 140 into x to find the amount leftover.
Another way of doing this is to change the function to $f(x)=200(0.5^{\frac{1}{50} })^{x}$ which are equivalent functions, and then plug 140 into x. This function is helpful if you also needed to find the rate.
I'll use the 1st function because the question doesn't ask for the rate

$f(x)= 200(0.5)^\frac{140}{50}}$

From here I'll just use a calculator & get 28.7, or 29 years.

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2 years ago

How many pounds are there in 3 and 1 over 4 tons

artcher [175]

Answer:

3 1/4 = 6,500 tons

Step-by-step explanation:

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3 years ago