Answer:8
Step-by-step explanation:
The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
How large of a sample of state employees should be taken if we want to estimate with 98% confidence the mean salary to be within $2,000? The population standard deviation is assumed to be $10,500. z-value for 98% confidence level is 2.326.
Answer:
Sample size = n = 150
Step-by-step explanation:
Recall that the margin of error is given by
Re-arranging for the sample size (n)
Where z is the value of z-score corresponding to the 98% confidence level.
Since we want mean salary to be within $2,000, therefore, the margin of error is 2,000.
The z-score for a 98% confidence level is 2.326
So the required sample size is
Therefore, we need to take a sample size of at least 150 state employees to estimate with 98% confidence the mean salary to be within $2,000.
The surface area is the area of all the surfaces. Let's find the area of the square and the four triangles and add them together:
Square:
Triangles 1, 2, 3, & 4:
Now add them all up:
So the surface area of the square pyramid is 340 square inches.
You didn't specify how much is charged per ride to determine revenue...but we can just use a variable p for the price charged per ride...
r(x)=px, c(x)=15x+200
To break even, P, profit must equal zero and P(x)=r(x)-c(x)
P(x)=px-15x-200
P(x)=0 when x(p-15)-200=0
x=200/(p-15)
So the number of rides needed, x, can be found once you determine what is charged per ride. :D *note from even this partial answer that p must be greater than 15 or you will never break even.
Answer:
50 degrees
Step-by-step explanation:
The sum of the interior angles of a triangle is 180. We can find the missing angle of the triangle by subtracting out the two measurement of the triangle that we know from 180.
180 - 31 -19 = 130
This angle would be the alternate exterior angel to the parallel line QP. That angle is supplement to the angle that you are looking for. <QTP would be 50 (180 -130)