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inn [45]
3 years ago
8

Four gallons of paint cost $49.44. Which equation can be used to find c, the cost per gallon?

Mathematics
1 answer:
natulia [17]3 years ago
5 0
<span>Four gallons of paint cost $49.44. <span>Which equation can be used to find c, the cost per gallon?
c=$49.44/4
c= $12.36 per gallon</span></span>
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The Wisconsin Dairy Association is interested in estimating the mean weekly consumption of milk for adults over the age of 18 in
Stolb23 [73]

Answer:

ME = 1.653 *\frac{7.9}{\sqrt{300}}= \pm 0.75

±0.75 ounce

Step-by-step explanation:

Assuming this complete question: The Wisconsin Dairy Association is interested in estimating the mean weekly consumption of milk for adults over the age of 18 in that state. To do this, they have selected a random sample of 300 people from the designated population. The following results were recorded: xbar=34.5 ounces, s=7.9 ounces Given this information, if the leaders wish to estimate the mean milk consumption with 90 percent confidence, what is the approximate margin of error in the estimate?

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=34.5 represent the sample mean

\mu population mean (variable of interest)

s=7.9 represent the sample standard deviation

n=300 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)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=300-1=299

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,199)".And we see that t_{\alpha/2}=1.653

And the margin of error is given by:

ME = 1.653 *\frac{7.9}{\sqrt{300}}= \pm 0.75

±0.75 ounce

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3 years ago
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Mr. Toshio had 32 rulers. 32-11 = 21 rulers. 21+4 = 25 rulers. and 25-7 = 18 rulers
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May someone please help me?
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Answer:

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On a class trip, there were 45 more girls than boys. the total number of students on the trip was 215. write and solve an equati
Evgesh-ka [11]
(b)+(b+45)=215
b = # of boys
there are 45 more girls than boys and 215 students total.
minus 45 on both sides leaving you with
(b)+(b)=170
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divide both sides by 2
b=85
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there were 130 girls.
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3 years ago
Solve the inequality<br> -2(y+5)+22&gt;12-2y
zhannawk [14.2K]

Answer:

There are no solutions

Step-by-step explanation:

Always remember to simplify both sides of the inequality.

-2y+12>-2y+12

Add 2y to both sides.

-2y+12+2y>-2y+12+2y\\12>12

Subtract 12 from both sides.

12-12>12-12\\0>0

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