If costs $2.28 for 12 fluid ounces of dishwashing detergent. what is the cost per fluid ounce?

Please help me out with these 2 questions! Legit answers only please!

geniusboy [140]

Answer:

1.) 12 hours 2.) She made a multiplying error in the table.

Step-by-step explanation:

1.)

First, let's find the slope of this equation:

m = 135 - 81 / 5 - 3

m = 54/2

m = 27

Therefore, the equation should be y = 27x.

Now we substitute 324 for y and solve for x:

324 = 27x

12 = x (Divided 27 on both sides.)

Therefore, someone would have to work 12 hours in order to earn $324.

2.)

For this problem, it appears Amanda has found the correct equation for her recipe. When taking a look at the table, however, it seems as though she has made a multiplying error.

5 0

3 years ago

You estimated the average rental cost of a 2 bedroom apartment in Denton. A random sample of 16 apartments was taken. The sample

Zigmanuir [339]

Answer:

The new sample size required in order to have the same confidence 95% and reduce the margin of erro to $60 is:

n=28

Step-by-step explanation:

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".

Assuming the X follows a normal distribution

$X \sim N(\mu, \sigma=160)$

And the distribution for $\bar X$ is:

$\bar X \sim N(\mu, \frac{160}{\sqrt{n}})$

We know that the margin of error for a confidence interval is given by:

$Me=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The next step would be find the value of $\z_{\alpha/2}$ , $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$

Using the normal standard table, excel or a calculator we see that:

$z_{\alpha/2}=\pm 1.96$

If we solve for n from formula (1) we got:

$\sqrt{n}=\frac{z_{\alpha/2} \sigma}{Me}$

$n=(\frac{z_{\alpha/2} \sigma}{Me})^2$

And we have everything to replace into the formula:

$n=(\frac{1.96(160)}{78.4})^2 =16$

And this value agrees with the sample size given.

For the case of the problem we ar einterested on Me= $60, and we need to find the new sample size required to mantain the confidence level at 95%. We know that n is given by this formula:

$n=(\frac{z_{\alpha/2} \sigma}{Me})^2$

And now we can replace the new value of Me and see what we got, like this:

$n=(\frac{1.96*160}{60})^2 =27.32$

And if we round up the answer we see that the value of n to ensure the margin of error required $Me=\pm 60$ $ is n=28.

5 0

3 years ago

In a Science class students made rockets out of empty 2-liter bottles. When launched, Karen's rocket reached a height of 12 and

velikii [3]

13 9/10

This is just a math equation. Just add 12 1/2 to 1 2/5 and remember that the bottoms of fractions have to be the same and if you change the bottoms, you have to change the top just as much :)

8 0

3 years ago

Read 2 more answers

The ratio of girls to boys in the grade is 9 to 10. If there are 225 girls, how many boys are there?

MArishka [77]

Answer:

250 boys

Step-by-step explanation:

We know that the ratio is 9:10 from girls to boys

Take 225 and divide it by 9

225 ÷ 9 = 25

So we know that 25 is a factor of 225

We can the number of boys and multiply it by 25 to get 250

If we put it in the ratio form:

225:250 = 9/10

Check work:

25 x 9 = 225

25 x 10 = 250

5 0

3 years ago

Read 2 more answers

You spend $3.40 for a 20 ounce box of cereal what is the rate per ounce

Nataly [62]

3.4/20 divided by 20/20 =.17 The cost per ounce is 17¢

7 0

3 years ago