Answer: the smallest number of people required for the sample to meet the conditions for performing inference is 100
Step-by-step explanation:
Given that;
36% of US population has never been married
32% are divorced
27% are married
5% are widowed
Taking a simple random sample of individuals to test this claim;
we need expected count in each cell to be at least 5, here the smallest proportion is 5% = 0.05
so we only need to satisfy condition for its expected count;
n × 0.05 ≥ 5
n = 5 / 0.05 = 100
Therefore the smallest number of people required for the sample to meet the conditions for performing inference is 100
Answer:
Just remember to divide the diameter by two to get the radius. If you were asked to find the radius instead of the diameter, you would simply divide 7 feet by 2 because the radius is one-half the measure of the diameter. The radius of the circle is 3.5 feet.
Step-by-step explanation:
Answer:
70
Step-by-step explanation:
The sum of the angles of a triangle should always add up to 180 degrees.
In this problem, they have given us 2 angle measures of the triangle - 40 degrees and 70 degrees. To figure out the third angle, we simply need to figure out how many more degrees we need for reaching the 180 degrees.
I'm just going to do some simple math:
40 + 70 = 110 (sum of the 2 angles)
180 - 110 = 70 (subtracting 180 by the sum of the 2 angles)
Let 
be the dimensions of the rectangle. We know the equations for both area and perimeter:
So, we have the following system:
From the second equation, we can deduce
Plug this in the first equation to get
Refactor as
And solve with the usual quadratic formula to get
Both solutions are feasible, because they're both positive.
If we chose the positive solution, we have
If we choose the negative solution, we have
So, we're just swapping the role of 
and 
. The two dimensions of the rectangle are 
and 
The answer for this would be the second answer choice
This is because when the slant height is tripled, the overall lateral surface area is tripled
The best way to explain this would be through an example.
Say that the lateral height is 2 and the radius is 1. The lateral surface area is 6.28
Now, if I make the lateral height 6, which is triple the original lateral height, the lateral surface area becomes 18.84, which is triple the original surface area
Therefore, the answer is choice 2
Hope this helped!! :D
