Answer:
327
Step-by-step explanation:
Calculation for How large of a sample would be required in order to estimate the mean per capita income
First step is to find z 80% confidence level
At 80% confidence level the z will be:
α/2 = 1 - 80% = 1 - 0.80 = 0.20
α/2= 0.20 / 2 = 0.01
Zα/2= Z0.01= 1.28 from z table
Now let calculate the Sample size using this formula
Sample size = n= [( Zα/2* σ ) / E]^2
Let plug in the formula
n = (1.28*7.9/0.56)^2
n= 326.06
n=327 (Approximately)
Therefore How large of a sample would be required in order to estimate the mean per capita income will be 327
We have been given that side length of pyramid the square base is 12 cm and its slant height is 10 cm. We are asked to find the height of the pyramid.
We will use slant height of a pyramid formula to solve our given problem.
,where,
s = Slant height,
h = Height,
a = Each side of square base.
Upon substituting our given values in above formula, we will get:



Switch sides:

Let us square both sides:




Now we will take positive square root of both sides.


Therefore, the height of the pyramid is 8 cm and option 'b' is the correct choice.
Answer:
B. SAS
Step-by-step explanation:
In the given diagram, it would be observed that each side of the bigger triangle are multiplied by a factor of
to give the values of each corresponding sides of the smaller triangle. But the included angle of the two triangles are the same.
Therefore, the reason why the triangles are similar is because of side-angle-side (SAS) relations. The correct option is B.
Answer:
6.7
Step-by-step explanation: