The area of the house is the amount of space on the house.
- The length of the addition is x + 20
- The area of the original house is

<h3>The length of the addition</h3>
The area of the addition is given as:

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Factorize

Factor out x + 20

The width of the addition is x - 10.
Hence, the length of the addition is x + 20
<h3>The area of the original house</h3>
The dimension of the original house is
x + 20 by x + 10
So, the area is:

Expand

This gives

Hence, the area of the original house is 
Read more about areas at:
brainly.com/question/24487155

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Answer:
D
Step-by-step explanation:
first of all, what is mode: it is the highest occuring number in a set of numbers.
now since 12 is supposed to be the mean and it occurs twice but 9 also occurs twice so for 12 to be the mode, we must add one more 12.
therefore the answer is 12
Answer:
1/4
Step-by-step explanation:
1/6 + 1/12 = 1/4
Answer:
P(Z < 2.37) = 0.9911.
Step-by-step explanation:
We are given that Let z denote a random variable that has a standard normal distribution.
Let Z = a random variable
So, Z ~ Standard Normal(0, 1)
As we know that the standard normal distribution has a mean of 0 and variance equal to 1.
Z =
~ N(0,1)
where,
= mean = 0
= standard deviation = 1
Now, the probability that z has a value less than 2.37 is given by = P(Z < 2.37)
P(Z < 2.37) = P(Z <
) = P(Z < 2.37) = 0.9911
The above probability is calculated by looking at the value of x = 2.37 in the z table which has an area of 0.9911.