Answer:
L = 6, w = 2
Step-by-step explanation:
Let w = width of rectangle
Let L = length of rectangle
w = L - 4
Area of rectangle = Lw
L (L - 4) = 12
L^2 - 4L = 12
L^2 - 4L - 12 = 0
(L - 6)(L + 2) = 0
L - 6 = 0
L = 6 (the other option doesn't work because dimensions can't be negative)
w = L - 4
w = 6 - 4
w = 2
Double check
A = Lw
A = 6 x 2
A = 12
It matches so we are right.
Answer:
As p-value = 0.0.68 > 0.05 the null hypothesis could not be rejected
Step-by-step explanation:
The computation of the p-value is shown below:
Given that
Average life =
= 88.5
Standard deviation =
= 9
Sample = n = 80
Based on the above information
Null and alternative hypothesis is

Now for the level of significance
= 0.05 and the critical value for a right talied test is 
Now the test statistic is

= 1.491
Now it is observed that
Z = 1.49≤z_ c = 1.64
So by this the null hypothesis could not be rejected
So,
P -value = 1 - P(z<1.491)
P-value = 0.068
As p-value = 0.0.68 > 0.05 the null hypothesis could not be rejected
X^3= 343
Find the cube root of both sides
∛x^3 = ∛343
x= 7
Final answer: x=7
Formula for finding the area of a circle:

We need to radius but we only have the diameter.
Luckily for us, if you have the diameter, you have the radius.
Because the radius is the diameter over 2.
10 / 2 = 5
Plug in the values.
A = (3.14)5^2
A = (3.14)25
A = 78.5
So, the answer is 78.5.