Answer:
Test statistic = 1.3471
P-value = 0.1993
Accept the null hypothesis.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 4
Sample mean, 
= 4.8
Sample size, n = 15
Alpha, α = 0.05
Sample standard deviation, s = 2.3
First, we design the null and the alternate hypothesis
We use two-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now, we calculate the p-value.
P-value = 0.1993
Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept it.
Ratio of 30-60-90 triangles in terms of side lengths is 1-
-2
So, the side across the 30-degree angle is 6.25.
Thus, the side across the 90-degree angle (hypotenuse) is 12.5.
Answer:
Step-by-step explanation:
18/100
0.18
18%
Solve the following problem. Write 18% as a fraction in simplest form.
First, write the percent as a fraction out of 100.
18/100
Next, you simplify this fraction. The greatest common factor of 18 and 100 is 2, so you divide both the numerator and the denominator by 2.
18÷2/100÷2=950
Then, check to ensure that the fraction cannot not be reduced further. In this instance it cannot.
The answer is 18% can be written as the fraction 9/50 in simplest form.
Answer:
-(n -1)(n^2 + n + 1)(n + 1)(n^2 - n + 1).
Step-by-step explanation:
1 - n^6 = (1 - n^3)(1 + n^3)
1 - n^3 = -(n -1)(n^2 + n + 1) and
1 + n^3 = (n + 1)(n^2 - n + 1)
So Substituting we have:
-(n -1)(n^2 + n + 1)(n + 1)(n^2 - n + 1)
