A rectangle is plotted on the coordinate grid. It has vertices at (-3, 5), (4, 5), (4, -1), and (-3, -1). Which choices below are the dimensions of the rectangle?
Answer
(-3,5)
The midpoint of a line divides the line into equal halves.
- <em>The value of x is 5</em>
- <em>The value of YZ is 22</em>
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Given that:


Y is the midpoint of XZ. So:



Collect like terms


Divide both sides by 10

Recall that: Y is the midpoint of XZ
This means that:



Hence, the value of x is 5 and YZ is 22
Read more about midpoints at:
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Answer:
for the first one he will get $51
the second one is £2.70
Step-by-step explanation:
1 1/2 hours before 12:00 am, which is half an hour before 11:00 pm, which is 10:30 pm
Answer:


Therefore, the mean monthly payment is $1137.15.
Step-by-step explanation:
What is Normal Distribution?
We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.
We are asked to find the mean monthly social security (OASDI) payment.
Mean monthly payment = μ = ?
We are given that the standard deviation is $116
One-fourth of payments are above $1214.87
One-fourth means 25%

From the z-table, the z-score corresponding to 0.75 is found to be 0.67

The mean is found by


Where
x = $1214.87
z = 0.67
σ = $116

Therefore, the mean monthly payment is $1137.15.