Answer:
The probability that the sample proportion is between 0.35 and 0.5 is 0.7895
Step-by-step explanation:
To calculate the probability that the sample proportion is between 0.35 and 0.5 we need to know the z-scores of the sample proportions 0.35 and 0.5.
z-score of the sample proportion is calculated as
z=
where
- p(s) is the sample proportion of first time customers
- p is the proportion of first time customers based on historical data
For the sample proportion 0.35:
z(0.35)=
≈ -1.035
For the sample proportion 0.5:
z(0.5)=
≈ 1.553
The probabilities for z of being smaller than these z-scores are:
P(z<z(0.35))= 0.1503
P(z<z(0.5))= 0.9398
Then the probability that the sample proportion is between 0.35 and 0.5 is
P(z(0.35)<z<z(0.5))= 0.9398 - 0.1503 =0.7895
For this case we have the following expressions:
70,000,000
7,000,000
If we divide the first expression by the second we have:

Thus, we have that the first expression is 10 times greater than the second expression.
Answer:
70,000,000 is 10 times greater than 7,000,000
The area of a triangle is found by multiplying the base by the height, then dividing that by 2:
Area = 10 * 7 = 70
70 / 2 = 35 square yards.
Answer:30
Step-by-step explanation:
Answer:
Square Root of 162 ~ 12.727
Step-by-step explanation:
Simply do the Pythagorean Theorem!
a^2 + b^2 = c^2
This case we're solving for the long side which is the hypothenuse.
9^2+9^2= c^
81+81=c^
162=c^
Square root of 162
Which is 12.727