Answer:
The original fraction is 
Step-by-step explanation:
Let the numerator by X
Denominator is three more than its numerator i.e X +3
When both the numerator and denominator are increased by one the fraction becomes 1/2

Thus, numerator = 2
Denominator = X +3 = 2+3 = 5
The original fraction is 
To find this answer you need to multiply the percent by the total, in this case 15% times 140. Remember to change the percent into a decimal (0.15).
0.15 (140)= 21
21 people earned the award
Answer:
The test statistic is z = 1.865.
Step-by-step explanation:
The test statistic is:
In which X is the sample mean,
is the value tested at the null hypothesis,
is the standard deviation and n is the size of the sample.
H0: p = 0.11
This means that 0.11 is tested at the null hypothesis, and so:


The engineer weighs 94 bags and finds that 16 of them are over-filled.
This means that:

What is the test statistic?

The test statistic is z = 1.865.
Answer: 8.4 inches.
Step-by-step explanation:
We know that the circumference of a circle can be calculated with this formula:

Where "r" is the radius of the circle.
We know that the circular cake (whose radius is 8 inches) is cut from the center into 6 equal pieces. Then, you need to divide the circumference of this circular cake by 6 to find the width of the outer edge of each piece of cake.
Therefore, this is (to the nearest tenth of an inch):
