You're going to use the substitution method for this.
First, we know that Y = x-7, so we can plug x-7 into everywhere we see Y!
3x - 3(x - 7) = 21
then we simplify
3x - 3x + 21 = 21
^ ^
These cancel out!
So we're left with...
21 = 21
That means that the solution to this equation is all real numbers!
Answer:
__63.81 inches__< μ <___65.87 inches__
Step-by-step explanation:
To calculate at 95% confidence interval, we need the Mean of the sample= 64.84
Sample size=32
Standard Deviation=2.9592
95% Confidence Interval: 64.84 ± 1.03
(63.81 inches to 65.87 inches)
"With 95% confidence the population mean is between 63.81 and 65.87, based on 32 samples."
Answer:
25.5 degrees
Step-by-step explanation:
Let the first angle be x degrees, and second angle be y degrees.
<u>Condition # 1:</u>
x = 5y - 13 --------------------(1)
<u>Condition # 2:</u>
x + y = 140 -------------------(2)
Put Eq. (1) in (2)
5y - 13 + y = 140
5y + y - 13 = 140
6y - 13 = 140
Add 13 to both sides
6y = 140 + 13
6y = 153
Divide both sides by 6
y = 25.5 degrees
Now, put the value of y in Eq. (1)
x = 5(25.5) - 13
x = 127.5 - 13
x = 114.5 degrees
<u>So, the measure of smaller angle is:</u>
= 25.5 degrees
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>
Answer:1723500
Step-by-step explanation:I used a calculator.