What happens to the standard deviation of the average of a sample as the sample size increases? Group of answer choices It gets
1 answer:
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Answer:
The new coordinates will be D(1,3) E(0,3) and F(-1,0)
Step-by-step explanation:
As can be seen in the picture, points A and B are moved one point negative in the y-axis, and three in the x-axis. Point C and D will have the same coordinates to form the new triangle.
Solve the equation by isolating the variable you're solving for on one side of the equation and get everything on the opposite side.
The x variable is being square and is being subtracted by 64.
Find the inverse of all of these operations.
First, get rid of the subtraction operation. The inverse of subtraction is addition.
Add 64 to both sides of the equation.
Now the variable x is only being squared. Reverse this operation by using the inverse of exponents.
Take the square root of both sides.
So, x is equal to 8.
The x variable is being square and is being subtracted by 64.
Find the inverse of all of these operations.
First, get rid of the subtraction operation. The inverse of subtraction is addition.
Add 64 to both sides of the equation.
Now the variable x is only being squared. Reverse this operation by using the inverse of exponents.
Take the square root of both sides.
So, x is equal to 8.
Answer:
It will take them approximately 51.43 minutes to complete the project together
Step-by-step explanation:
This is what is called a "shared job" problem.
The best way to work on them is to start by finding the "portion" of the job done by each of the people in the unit of time.
So, for example, Sarah completes the project in 90 minutes, so in the unit of time (that is 1 minute) she completed 1/90 of the total project
Betty completes the project in 120 minutes, so in the unit of time (1 minute) she completes 1/120 of the total project.
We don't know how long it would take for them to complete the project when working together, so we call that time "x" (our unknown).
Now, when they work together completing the entire job in x minutes, in the unit of time they would have done 1/x of the total project.
In the unite of time, the fraction of the job done together (1/x) should equal the fraction of the job done by Sarah (1/90) plus the fraction of the job done by Betty. This in mathematical form becomes:
So it will take them approximately 51.43 minutes to complete the project together.