This problem is about triangles.
We must apply the trigonmetric relations to solve this.
I can see we have a right angle triangle.
Let's use the idea of the tangent.
tan (22º) = building height / shadow length
Let's plug given data on above formula:
tan(22º) = 610 ft / shadow length
I looked up and got tan(22º) = 0.40, so:
0.40 = 610 ft / shadow length
shadow length = 610 ft / 0.40
shadow length = 1,525 ft
Answer: shadow length is 1,525 ft .
Answer:
Affects the width of a confidence interval, as the margin of error is a function of the sample standard deviation.
Step-by-step explanation:
When we have the standard deviation for the sample, the t-distribution is used to solve the question.
It does not affect the center of the interval, which is a function only of the sample mean.
Width of a confidence interval:
The width of a confidence interval is a function of the margin of error, which is:

In which s is related to the sample standard deviation. Thus, since s and M are directly proportional, a higher standard deviation makes the interval wider, lower standard deviation makes the interval narrower, and thus, the sample standard deviation affects the the width of a confidence interval.
9514 1404 393
Answer:
5
Step-by-step explanation:
Put the numbers where the letters are and do the arithmetic.
5(3) -2(5) = 15 -10 = 5
Answer:
Taji has a total of 56 quarters.
Step-by-step explanation:
Let <em>x</em> be the number of quarters that Taji has.
Amount in terms of quarter 
Let <em>y</em> be the number of dimes that Taji has.
Amount in terms of quarter 
As per question statement:

Total amount is $18.20 as given in the question statement.

Solving equations (1) and (2):
Multiplying equation (1) by 10 and subtracting from equation (2):

<em>x </em>is the number of quarters that Taji has.
So, Taji has a total of 56 quarters.