Make two equations:
Carlos: y=10x+85
Michael: y=5x+120
Set them equal to each other and solve:
10x+85=5x+120
5x+85=120
5x=35
x=7
So therefore, B is the correct answer
Hope this helped!
Answer:
A
Step-by-step explanation:
The complete question is as follows:
" A study reports that 75 percent of young adults in a county get their news from online sources. A sociologist believes that the percentage is actually greater than 75 percent. The sociologist will select a random sample of young adults from around the county to interview. Which of the following is the most appropriate method for investigating the sociologist’s belief? "
Options:-
A one-sample zz-test for a difference in population proportions
A one-sample zz-test for a sample proportion
A one-sample zz-test for a population proportion
A two-sample zz-test for a difference in population proportions
A two-sample zz-test for a difference in sample proportions
Solution:-
- First we need to determine how many samples are to be taken. Since we have the same population for young adults for a both null and alternate hypothesis there is no need of " two -sample test". So one - sample test is sufficient to make a conclusion.
- Next to test the claim of sociologist we need to understand the nature of claim itself. The claim made is not "definitive" or in other words doe not points the exact value of the proportion but rather makes a "comparative" claim that is larger than what the report states.
- The second and third options both test definitive claims while option A tests the comparison ( difference ) in population proportion.
Answer:
- equation: d(h) = 0.25|h -1600| -400
- depth is 250 ft at 1000 ft and 2200 ft from the west edge
Step-by-step explanation:
The crater shape can be modeled by an absolute value function with a slope of 0.25. The vertex of the function will not be at (0, 0) but will be at (1600, -400). The usual methods of translating functions apply. Horizontal displacement of the vertex is subtracted from the independent variable; vertical displacement is added to the function value.
d(h) = 0.25×|h -1600| -400
We know the horizontal displacement is 1600 ft, because the depth changes at a rate of 1/4 foot for each horizontal foot. A depth change of 400 feet will require 1600 horizontal feet to accomplish.
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At a depth of 250 ft, the distance from the west edge can be found from ...
-250 = 0.25|h -1600| -400
150 = 0.25|h -1600| . . . . . . . . add 400
600 = |h -1600| . . . . . . . . . . . multiply by 4
This resolves to two equations:
- -600 = h -1600 ⇒ h = 1000
- 600 = h -1600 ⇒ h = 2200
The depth is 250 ft at distances of 1000 ft and 2200 ft from the west edge.
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<em>Comment on the equation</em>
We have chosen to make depths be negative numbers. If you want the equation to give positive numbers for depth, multiply it by -1:
d = 400 -0.25×|h -1600|
Answer:
Following are the solution to this question:
Step-by-step explanation:
Just Parts (c) were discussed because they were mentioned in the issue.
A subpart of (c):
In point (i)
The answer is 1 for the CES since only CES has salary and wage rates information.
In point (ii)
The answer is 2 for the CPS because only the CPS has job status information.
In point (iii)
The answer is 3 for the CPS as detailed in this issue, neither CES nor CPS explicitly states gender information. Even so, population studies generally include a 'gender' requirement.
