Answer:
Answer : 100^3
Step-by-step explanation:
formula to find volume of prism =
v = base area * height
v = 20 * 5
v = 100
so , volume is 100^3
Answer:
a: 0.8884
b: 0.9934
Step-by-step explanation:
We have µ = 300 and σ = 70. The sample size, n = 125.
For the sample to be within 8 units of the population mean, we would have sample values of 292 and 308, so we want to find:
P(292 < x < 308).
We need to find the z-scores that correspond to these values using the given data. See attached photo 1 for the calculation of these scores.
We have P(292 < x < 308) = 0.8884
Next we want the probability of the sample mean to be within 17 units of the population mean, so we want the values from 283 to 317. We want to find
P(283 < x < 317)
We need to find the z-scores that correspond to these values. See photo 2 for the calculation of these scores.
We have P(283 < x < 317) = 0.9934
Answer:
The factors for 27 are 1,27,3,9
First, combine 20c and 10c because they are like terms then combine 8d and -5d.
It would look like this:
20c+8d+10c-5d
30c+3d
Hope that helps
Answer:
The length of legs lm, mn, and lk is 32 while that of kn is 36.
Step-by-step explanation:
The diagram is attached in the answer.
As both the angles are equal thus the two forms isosceles triangles. This is true because the converse of base angle theorem is applicable here. The theorem clearly states that when a trapezoid is divided by the diagonal, it forms two set of angles where m<1=m<2 and m<lmk=m<nmk
This leads the two set of legs such as

Or this could be written as

Now the remaining two sides are given as
as this form an isosceles triangle so

Similarly

Or

Now the perimeter is given as

Here perimeter is given as 132 so this gives:

So the four legs are of length as given below:

So the length of legs lm, mn, and lk is 32 while that of kn is 36.