Answer:
20.27
Step-by-step explanation:

For this case, what we are going to do is use the following property:
Multiply an equation by a scalar.
In this case, the scalar will be:
k = -2
We have then that equation 2 will be:
k * (4x + y) = k * 1
-2 * (4x + y) = - 2 * 1
-8x-2y = -2
Answer:
The property that justifies this manipulation is:
Multiply an equation by a scalar.
Answer:
The endpoints of the midsegment for △DEF that is parallel to DE, are (-1,3.5) and (-1,2).
Step-by-step explanation:
If a line connecting the midpoint of two sides and parallel to the third side of the triangle, then it is called a midsegment.
From the given figure it is noticed that the vertices of the triangle are D(1,4), E(1,1) and F(-3,3).
If the midsegment is parallel to DE, then the end points of the midsegment are mid point of DF and EF.
Midpoint formula.

Midpoint of DF,


Midpoint of EF,


Therefore the endpoints of the midsegment for △DEF that is parallel to DE, are (-1,3.5) and (-1,2).
Answer:
The mean apple weight is different from 8oz
Step-by-step explanation:
Claim : An apple farm claims that the average weight of all their apples is 8oz.

n = 20
Standard deviation =s = 0.95
Since n < 30
So we will use t-test
x = 7.77

Substitute the values :


Since we are not given the significance level
So, we will take 5%
So,α = 0.05
Degree of freedom = df = n-1 = 20-1 = 19
So, using t table

Since t critical > t statistic
So, we accept the null hypothesis.
So, The mean apple weight is different from 8oz