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%.
Answer:
x = 97.5 degrees
Step-by-step explanation:
First, we need to know what the total sum of interior angles. We use the formula (n-2) * 180, n being the number of sides.
Since this is a 6-sided polygon, the sum is (6-2) * 180, or 720 degrees.
We have the total sum of interior angles, so now we have all the information we need.
720 degrees = (2x-50) + (x+40) + 80 + (x+20) + 90(right angle symbol) + 150
720 = 4x + 330 (subtract 330 from both sides)
390 = 4x (divide by 4)
x = 97.5 degrees
The equation for a volume of a cube is V=a^3 and since all the sides are the same the equation would be V=(x+3)^3
Hey there
<span>240 times 365 can be written as 240 x 356.
</span><span>240 x 356 = </span>87600
A cube shaped box of side length equal to m foot has volume
foot cubed.
a.
Let v1 be the volume of the box with side length 1 ft.
and v2 be the volume of the box with side length x ft.
(foot cubed)
(foot cubed)
Vtotal=
feet cubed
b.
by the "sum of cubes" identity:
,
this identity can be derived by dividing
by (x+1), by long division.
c. Vtotal when x=3 feet is:
Vtotal=
(feet cubed)
