Answer:
77
Step-by-step explanation:
Answer:
y = 2x + 3
Step-by-step explanation:
In the slope-intercept form of the equation of a line,
y = mx + b,
m = slope, and b = y-intercept.
Let's look at Adriana's equation and understand the parts:
y = 2x + 4
y = mx + b
m = slope = 2; b = y-intercept = 4
Now let's look at the description of Henry's equation.
He has the same slope as Adriana, so for Henry, m = 2 also.
His y-intercept is 1 less than Adriana's, so it is 1 less than 4. Henry's y-intercept is 3.
Now that we know that for Henry, m = 2, and b = 3, we can write his equation.
y = mx + b
y = 2x + 3
Answer: y = 2x + 3
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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The answer is yea yea yea yea yea
Answer: 9.82cm
Step-by-step explanation: