Suppose the base and height are each multiplied by 1/2 what effect should this have on the area

2 answers:

6 0

It would be 1/4 of the original area, as you have just multiplied by 1/2 twice. 1/2 times 1/2 equals 1/4.

(Please consider marking this answer as Brainliest to help me advance.)

Yuki888 [10]3 years ago

4 0

Answer:

Simple answer: it will become 1/4 the size that it was.

Step-by-step explanation:

Let the base = b

Let the height = h

Area = 1/2 b*h

Now half both of them.

Area = 1/2 (1/2 b)(1/2 * h)

Area = 1/2 (1/4)*b*h

That quarter should convince you that the area is now 1/4 what it was before the base and height were cut in half.

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A student records the repair cost for 22 randomly selected dryers. A sample mean of $98.78 and standard deviation of $15.49 are

Gelneren [198K]

Answer:

The critical value that should be used is T = 2.0796.

The 95% confidence interval for the mean repair cost for the dryers is between $91.912 and $105.648.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 22 - 1 = 21

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 21 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.95}{2} = 0.975$ . So we have T = 2.0796, which is the critical value that should be used.

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 2.0796\frac{15.49}{\sqrt{22}} = 6.868$

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 98.78 - 6.868 = $91.912

The upper end of the interval is the sample mean added to M. So it is 98.78 + 6.868 = $105.648

The 95% confidence interval for the mean repair cost for the dryers is between $91.912 and $105.648.

8 0

2 years ago

Eduardo has a recipe that uses 2/3 cup of flour for each batch. If he makes 4 batches, how many cups of flour will he need? How

34kurt

Answer:

4 batches: $2\frac{2}{3}$ cups

7 batches: $4\frac{2}{3}$ cups

Step-by-step explanation:

If he uses 2/3 cup of flour for <u>each</u> batch, then that is 2/3 four times, or 2/3 · 4.

$\frac{2}{3}$ × $\frac{4}{1}$

= $\frac{8}{3}$ = $2\frac{2}{3}$

If he makes three more, than that will be 7 batches in total. We can multiply 2/3 by 3 to find out how much will be needed for those extra three, then add that product to $2\frac{2}{3}$ .

$\frac{2}{3}$ × $\frac{3}{1}$