First step is expand by using distributive property
<span>2(x + 7) + 3x = 12
step 1:
2x + 14 + 3x = 12</span>
We will use addition to find the length of the new, longer hose.
6.25 feet + 5.755 feet + 6.5 feet = 18.505 feet is the length of the new longer hose.
Using the normal distribution, the area underneath the shaded region <u>between the two z-scores</u> is given by:
C. 0.6766.
<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.
Hence, for this problem, the area is the <u>p-value of z = 0.75 subtracted by the p-value of z = -1.3</u>.
Looking at the z-table, the p-values are given as follows:
Then:
0.7734 - 0.0968 = 0.6766.
Which means that option C is correct.
More can be learned about the normal distribution at brainly.com/question/15181104
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Answer:
The answer to your question is: x = 1, y = 4
Step-by-step explanation:
I'll change decimals to fractions
4.5 = 9/2
12.5 = 25/2
3.25 = 13/4
0.75 = 3/4
-9/2 x - 2 y = - 25/2 (I)
13/4 x - y = - 3/4 (ll)
Process
from (II) y = 13/4x + 3/4
Sunstitution -9/2x -2(13/4 x + 3/4) = - 25/2
-9/2 x - 13/2 x - 3/2 = -25/2
Multiply by 2 -9 x - 13 x - 3 = -25
-22 x = -25 + 3
-22 x = -22
x = 22/22
x = 1
y = 13/4 (1) + 3/4
y = 16/4
y = 4
Answer:
Step-by-step explanation: