Answer:
A': (4,-4)
B': (3,-8)
C': (3,-5)
Step-by-step explanation:
Translation
A (5,2)---> (4,4)
B(4,6)---> (3,8)
C(4,3)---> (3,5)
Reflection over x-axis= (x,y) to (x,-y)
A': (4,-4)
B': (3,-8)
C': (3,-5)
Hope this helps!
Brainliest?
Have a good day!
Answer:
The mean of the sampling distribution of the proportion of downloaded books is 0.03 and the standard deviation is 0.0197.
Step-by-step explanation:
Central Limit Theorem
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean 
and standard deviation 
3% of books borrowed from a library in a year are downloaded.
This means that 
SRS of 75 books.
This means that 
What are the mean and standard deviation of the sampling distribution of the proportion of downloaded books
By the Central Limit Theorem
Mean: 
Standard deviation: 
The mean of the sampling distribution of the proportion of downloaded books is 0.03 and the standard deviation is 0.0197.
<h3>
Answer: y = 5</h3>
==============================================================
Explanation:
For any rectangle, the diagonals are always the same length. We can use congruent triangles to prove this.
This means AC = BD.
Also, the diagonals of a rectangle cut each other in half (bisect). This indicates the following two equations
We'll use that second equation along with BP = -2x+23 and DP = 3y-6 to form the equation -2x+23 = 3y-6. This will be used later.
---------------
By the segment addition postulate, we know that
BP+DP = BD
(-2x+23)+(3y-6) = BD
BD = -2x+3y+17
Since the diagonals are equal, we also know that AC = -2x+3y+17
We are given that AC = 2x+4
Equating the two right hand sides leads to the equation 2x+4 = -2x+3y+17
---------------
The conclusion of each the last two sections was the following two equations
- -2x+23 = 3y-6
- 2x+4 = -2x+3y+17
We have two equations and two unknowns. We have enough info to be able to find x and y.
Let's isolate 3y in the first equation
-2x+23 = 3y-6
3y-6 = -2x+23
3y = -2x+23+6
3y = -2x+29
Then we can plug this into the second equation
2x+4 = -2x+3y+17
2x+4 = -2x+(3y)+17
2x+4 = -2x+(-2x+29)+17 .... replace 3y with -2x+29
Now solve for x
2x+4 = -2x+(-2x+29)+17
2x+4 = -2x-2x+29+17
2x+4 = -4x+46
2x+4x = 46-4
6x = 42
x = 42/6
x = 7
We then use this to find y
3y = -2x+29
3y = -2(7)+29
3y = -14+29
3y = 15
y = 15/3
y = 5
For example, the three 2s.
in the box show that there are 3 groups of 2 objects each.You can write the multiplication equation 3 2 = 6 to show that 3 groups of 2 equals 6 in all.You can also write the division equation 6 2 = 3 to show that 6 divided into groups of 2 equals 3 groups.
