Answer:
We conclude that the population mean is 24.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 24
Sample mean,
= 22.8
Sample size, n = 100
Alpha, α = 0.05
Sample standard deviation, s = 8.3
First, we design the null and the alternate hypothesis
We use Two-tailed z test to perform this hypothesis.
Formula:
Putting all the values, we have
We calculate the p-value with the help of standard z table.
P-value = 0.1498
Since the p-value is greater than the significance level, we accept the null hypothesis. The population mean is 24.
Now,
Since, the z-statistic lies in the acceptance region which is from -1.96 to +1.96, we accept the null hypothesis and conclude that the population mean is 24.
15
180/12=15.
That is the equation since we know the box has 180 eggs, and the eggs have to be separated into 12
Answer:
forty point five hundred forty-five
Step-by-step explanation:
Answer:

Step-by-step explanation:
Solving for
given the equation,
:

Solving for
when 

Answer:
9 (2 a - 3)^2
Step-by-step explanation:
Simplify the following:
(6 a - 9)^2
Hint: | Factor out the greatest common divisor of the coefficients of 6 a - 9.
Factor 3 out of 6 a - 9:
(3 (2 a - 3))^2
Hint: | Distribute exponents over products in (3 (2 a - 3))^2.
Multiply each exponent in 3 (2 a - 3) by 2:
3^2 (2 a - 3)^2
Hint: | Evaluate 3^2.
3^2 = 9:
Answer: 9 (2 a - 3)^2