Similar polygons only differ by a scaling factor. In other words, two polygons are similar if one is the scaled version of the other.
In particular, this implies that the angles are preserved, and the correspondent sides are in proportion.
These two polygons are both rectangles, so the angles are preserved. We must check the sides, and we have to check if the smaller sides are in the same proportion as the bigger sides.
So, the two rectangles are similar if the following is true.
In any proportion, the product of the inner terms must be the same as the product of the outer terms:
This is clearly false, and thus the two rectangles are not similar.
This one isn't too hard, just plug in each value!
x = -1
y = -4(-1) + 3
y = 7
x = 0
y = -4(0) + 3
y = 3
x = 1
y = -4(1) + 3
y = -1
x = 2
y = -4(2) + 3
y = -5
Answer:
There is a 34.13% probability that the actual return will be between the mean and one standard deviation above the mean.
Step-by-step explanation:
This is problem is solving using the Z-score table.
The Z-score of a measure measures how many standard deviations above/below the mean is a measure. Each Z-score has a pvalue, that represents the percentile of a measure.
What is the probability that the actual return will be between the mean and one standard deviation above the mean?
One measure above the mean is 
The mean is 
This means that this probability is the pvalue of subtracted by the pvalue of .
has a pvalue of 0.8413.
has a pvalue of 0.50.
This means that there is a 0.8413-0.50 = 0.3413 = 34.13% probability that the actual return will be between the mean and one standard deviation above the mean.
In order to solve this, we first need to know what the ratio of servings of pudding to cups of milk is. We can see that 8 servings of pudding requires 2 cups of milk, so the ratio is 8/2, which can be reduced to 4/1. This means that for every 4 servings of pudding, we will be adding 1 cup of milk. So all we need to do to find out how many cups would be needed for 64 servings of pudding, we simply need to divide by 4.
64 / 4 = 16
So for 64 servings of pudding, we will need 16 cups of milk. But that's not what the question wants to know, it wants to know how many gallons of milk it would need.
In order to find that out, we have to know how many cups there are in one gallon. There are 2 cups in one pint, there are 2 pints in a quart, and there are 4 quarts in a gallon, so we just have to multiply those numbers, and we get 4 * 2 * 2 = 8 * 2 = 16
There are 16 cups in one gallon, therefore, 64 servings of pudding will require 1 gallon of milk.
Hope that helped! =)
Answer:
188 balloons
Step-by-step explanation:
First, we have to divide the amount he collected altogether by the price of each balloon that he sold to find out how many balloons he sold:
9632 / 86 = 112 balloons
She sold 112 balloons.
We know that she threw 76 balloons away, therefore, the number of balloons she bought was:
112 + 76 = 188 balloons
