Answer:
2.3%
Step-by-step explanation:
The formula to convert x into z distribution is

Where z is the test statistic
x is what we are looking for (in this case 37)
is the mean (in this case, it is 25)
is the standard deviation (we have 6)
<em>Plugging these into the formula, we get:</em>

Thus we can say we want 
<u>Note: </u> 
The table given is for any z where 
Thus, now we have:

0.0228 into percentage is 0.0228 * 100 = 2.28%
Rounded, we get 2.3%
Third answer choice is right.
Answer:
2x - 13
Step-by-step explanation:
Step 1 :
1
Simplify —
2
Equation at the end of step 1 :
1
(-4x - 2) + (— • (12x - 22))
2
Step 2 :
Pulling out like terms :
3.1 Pull out like factors :
12x - 22 = 2 • (6x - 11)
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
12x - 22 = 2 • (6x - 11)
Equation at the end of step 3 :
(-4x - 2) + (6x - 11)
Answer: 13%
Step-by-step explanation:
The formula to find the simple interest is given by :-
, where P is the principal amount, r is rate of interest () in decimal and t is the time ( in years).
Given : P = $19,100 , I=$9932.00 and t= 4 years
Substitute all the above values in the formula , we get

In percent , 
Hence, the rate of interest = 13%
Answer:
24 inches
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.
Sine rule states that given a triangle with sides a, b, c and their corresponding angles opposite to the sides as A, B, C. Then:

In triangle LMN:
We can find the length of l using sine rule:

The volume of a cylinder is
V=hpr^2 in this case h=40, r=20/2=10, and we will approximate pi as 3.14 so:
V=40(3.14)(10^2)
V=12560 ft^3