Part A:
f(x) = 20x
Part B:
6 gallons
Answer:
No, because AB is 2/5 the length MN but CD is 1/3 the length QP.
Step-by-step explanation:
Comparing the corresponding sides, the length of AB is 4. The length of MN is 10. This makes their ratio 4/10 = 2/5.
The length of CD is 2. The length of QP is 6. this makes their ratio 2/6 = 1/3.
The ratios of the sides are not the same, so the figure is not proportional and is therefore not a dilation.
Answer:
The midpoint between the joining points C and D is (2, -3)
Step-by-step explanation:
How to find a midpoint
- 1: Label the coordinates(x₁,y₁) and (x₂,y₂).
- 2: Input the values into the formula.
- 3: Add the values in the parentheses and divide each result by 2.
- 4: The new values form the new coordinates of the midpoint.
Suppose we have a line segment and want to cut that section into two equal parts. To do so, we need to know the center. We can achieve this by finding the midpoint. You could measure with a ruler or just use a formula involving the coordinates of each endpoint of the segment. The midpoint is simply the average of each coordinate of the section, forming a new coordinate point. We shall illustrate this below.
Midpoint formula
If we have coordinates (x₁,y₁) and (x₂,y₂), then the midpoint of these coordinates is determined by (x₁ + x₂)/2, (y₁ + y₂)/2. This forms a new coordinate you can call (x₃,y₃). It is possible to divide a line segment into any given ratio, not just 1:1.
Answer:
The right answer is:
"If 74% of Americans still favor mandatory testing this year, then there is a 1.5% chance that poll results will show 71% or fewer with this opinion."
Step-by-step explanation:
The P-value represents the probability of getting the sample we got, given that the null hypothesis is true. For this reason, it the P-value is lower than the significance level, it means that the sample result is unlikely due to chance, but due to a false null hypothesis.
In this case, the P-value represents a probability P=0.015 of having a sample with proportion p=0.71, given that the population has a proportion π=0.74.
The right answer is:
"If 74% of Americans still favor mandatory testing this year, then there is a 1.5% chance that poll results will show 71% or fewer with this opinion."
Its 5 divided my 7.50 since each decided to pitch in to help by the pie
