Answer:
6 and 3/5
Step-by-step explanation:

A standard approach would be the tangent half-angle substitution:

Then


from which we get

So the integral becomes

Rewrite the denominator as

and expand the integrand into its partial fractions:

We have



The answer is x=1 because you have to distribute and then divide
Answer:
-4/9
Step-by-step explanation:
-4 x 5 = -20
5 x 9 = 45
so you have -20/45
divide by 5 for both and you get -4/9
Hope this helps!!
Answer:
we will fail to reject the null hypothesis and conclude that the return rate is less than 20%.
Step-by-step explanation:
We are given;
Sample size;n = 6970
Success rate;X = 1334/6970 = 0.1914
Now, we want to test the claim that the return rate is less than p = 0.2, hence the null and alternative hypothesis are respectively;
H0: μ < 0.2
Ha: μ ≥ 0.2
The standard deviation formula is;
σ = √(x(1 - x)/n)
σ = √(0.1914(1 - 0.1914)/6970)
σ = 0.004712
Now for the test statistic, formula is;
z = (x - μ)/σ
z = (0.1914 - 0.2)/0.004712
z = -1.825
From the a-distribution table attached, we have a value of 0.03362.
This p-value gotten from the z-table is more than the significance value of 0.01. Thus, we will fail to reject the null hypothesis and conclude that the return rate is less than 20%.