Answer:
56 square units
Step-by-step explanation:
I'd recomend using something like "Desmos" to plot the points so then you can see the points and the rectangle. Then count the length and width. For the this rectangle the length was 8 and the width was 7, multiply these and you get the answer of 56 sqaure units.
The answer is

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Remember to combine like terms.
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Answer:
Equation: 7x + 8x = 180
x = 12
∠CBA = 84
∠CFH = 96
Step-by-step explanation:
We can see that ∠CBA = ∠CFE and ∠CBD = ∠CFH.
We know that the sums of two angles on a straight line are going to be equal to 180.
∠CBA = 7x
∠CFH = 8x
To find the value of x, we must do the following:
7x + 8x = 180
15x = 180
15x/15 = 180/15
x = 12
Now we just substitute to find the angle measures:
∠CBA = 7 · 12 = 84
∠ CFH = 8 · 12 = 96
Using the normal distribution, the probabilities are given as follows:
a. 0.4602 = 46.02%.
b. 0.281 = 28.1%.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
is given by:

- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation
.
The parameters are given as follows:

Item a:
The probability is <u>one subtracted by the p-value of Z when X = 984</u>, hence:


Z = 0.1
Z = 0.1 has a p-value of 0.5398.
1 - 0.5398 = 0.4602.
Item b:

By the Central Limit Theorem:


Z = 0.58
Z = 0.58 has a p-value of 0.7190.
1 - 0.719 = 0.281.
More can be learned about the normal distribution at brainly.com/question/4079902
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