Answer: 168 inches.
Explanation:
First thing you must always do when solving word problems is read closely, and take note of any number.
In this case, the first thing we must do is find the scale factor.
For this, we use one of the dimensions. We will use the width of the photo.
We have then:
k = 132/11
k = 12
Then, we look for the value of the height of the new photo. To do this, we multiply the scale factor by the original dimension.
We have then:
14k = 14 (12) = 168
Thus, 168 inches is your answer! :)
Hope this helps! :)
Answer:
For this case we know that the confidence level is 90% so then the significance level is
and
. And we can find in the normal standard distribution a value who accumulates 0.5 of the area on each tail and we got:

And the best option would be:
1.645
Step-by-step explanation:
We assume that the parameter of interest is
and we can assume that the distribution for this parameter is normally distributed so then the confidence interval assuming a two sided interval is given by:

Where
represent the estimator for the parameter, SE the standard error and
the critical value.
For this case we know that the confidence level is 90% so then the significance level is
and
. And we can find in the normal standard distribution a value who accumulates 0.5 of the area on each tail and we got:

And the best option would be:
1.645
The height will be 4 cm.
Explanation
<u />The volume of a cylinder is given by the formula V=πr²h. For a volume of 36π cm³ and a radius of 3 cm,
36π = π(3²)h
36π = 9πh
Divide both sides by 9π:
36π/9π = 9πh/9π
4 = h
The area would be 9 because the perimeter of the regular quadrilateral would be 3 and if you multiply 3 by 3 you have 9.
Answer:
2261,9 cm³
Step-by-step explanation:
First, you need to find the area of the base:

A=36
cm²
Now let's multiply it for the height:
36π cm² × 20 cm = 720π cm³
= 2261,9 cm³