Using the normal distribution, it is found that there was a 0.9579 = 95.79% probability of a month having a PCE between $575 and $790.
<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.
The mean and the standard deviation are given, respectively, by:
.
The probability of a month having a PCE between $575 and $790 is the <u>p-value of Z when X = 790 subtracted by the p-value of Z when X = 575</u>, hence:
X = 790:


Z = 1.8
Z = 1.8 has a p-value of 0.9641.
X = 575:


Z = -2.5
Z = -2.5 has a p-value of 0.0062.
0.9641 - 0.0062 = 0.9579.
0.9579 = 95.79% probability of a month having a PCE between $575 and $790.
More can be learned about the normal distribution at brainly.com/question/4079902
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It’s 84 you just break into three pieces and find the side lengths
5x + 4 = 7x
Subtract 4 from both sides.
5x = 7x - 4
Subtract 7x from both sides.
5x - 7x = -4
Simplify.
-2x = -4
Divide both sides by -2.
x = 4/2
x = 2
~Hope I helped!~
-3 times 4y - v -2 hope this helps !
<span>cos (X) + sin (X) = 0
Subtract cos(x) from each side:
sin(x) = -cos(x)
Divide each side by cos(x) :
sin(x) / cos(x) = -1
But sin/cos = tangent
<em>tan(x) = -1</em>
x = 135° and 315°
x = 3/4 pi radians and 7/4 pi radians
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