Answer:
So then the correct answer is B. $200.
Step-by-step explanation:
Notation
Let X be the average contribution size before John makes his contribution.
Let Y be the total contribution size before John makes his contribution.
Let Z be John's contribution.
We know that for this case $ 75 represent the original average amount before the contribution with 50% increase so we can set up the following equation in order to find the original average amount
And solvong for X we got:
Now we can find the total contribution before the donation with the following proportion:
And then with the formula of average taking in count the 6 values we can find the size of donation Z like this:
So then the correct answer is B. $200.
I had this and it was b for me
Answer:
: p= .78
: p > .78
Step-by-step explanation:
Determining the null and alternate hypotheses of a scenario require several components. The first is if one should use p or mu. This depends on if they are assessing a proportion or a mean, since the publisher states a percentage, you know that they are asking for a proportion, and therefore should use p. Next, they will need to assess what value to use for the hypothesis statements, here only .78 is provided and therefore should be used in both. Finally, it is time to add in the comparison symbols, the null hypothesis always uses an equals sign so it therefore becomes:
: p= .78
The alternate hypothesis then needs to consider if the researchers claim that the new proportion is greater, fewer, or different. In this case it is greater as they think that the ownership is above 78%, so a greater than sign would be used and the final statement would be:
: p > .78
F-1(x)=x/4 represents the inverse function because to find the inverse you have to interchange the variables & solve for y
Answer:
Step-by-step explanation:
To write an equation for a circle, we need to find the center and the radius. We need to find the distance between the two endpoints to find the radius. To do that, use the distance formula:
d = √(2 - 5)² + (1 + 3)²
√(-3)² + (4)²
√9 + 16 = √25 = 5
If the diameter is 5, the radius is 2.5
Now we need to find the center/midpoint. Use the midpoint formula:
(5 + 2)/2, (-3 + 1)/2
7/2, -2/2
(3.5, -1)
Now that we have the center and the radius, we can make our equation. Remember that the equation of a circle is: (x - x of center)² + (y - y of center) = radius²
(x - 3.5)² + (y + 1)² = 6.25
Hope this helps
