Because the lines are parallel, 75 is equal to 11x-2
75=11x-2
77=11x
x=7
Answer:

Step-by-step explanation:
We are asked to divide our given fraction:
.
We will simplify our division problem using rules of exponents.
Using product rule of exponents
we can write:


Substituting these values in our division problem we will get,

Using power rule of exponents
we will get,


Using quotient rule of exponent
we will get,


Using product rule of exponents
we will get,


Upon canceling out
we will get,

Using power rule of exponents
we will get,


Therefore, our resulting quotient will be
.
The confidence interval for the mean usage of water is (18.7,20.5).
Given population standard deviation of 2.4, mean of 19.5 gallons per day and confidence interval of 98%.
We have to find the confidence interval for the mean usage of water.
To find out the confidence interval we have to first find margin of error.
μ=19.5
σ=2.4
α=0.98
α/2=0.49
We have to find the z value for the p value 0.49 which is z=2.33
Margin of error=z*μ/
=2.33*19.5/
=0.82
lower level=mean -m
=19.5-0.82
=18.68
after rounding upto 1 decimal
=18.7
upper mean = mean+m
=19.5+0.82
=20.52
Hence the confidence interval for the usage of water is (18.7,20.52).
Learn more about margin of error at brainly.com/question/10218601
#SPJ4
Hey there! :D
7(2x+6)=1
Use the distributive property. Multiply each number by each other.
7*2x= 14x 7*6= 42
14x+42=1
Subtract 42 on both sides.
14x= -41
Divide both sides by 14.
We know that 14 goes into -41 almost three times.
14*3= 42 (there is one left over)
-2 13/14 (we just need one more part of 14)
That is the simplified number.
I hope this helps!
~kaikers
The greatest common factor for these two numbers is 6 because if you divide 24 by 6 you get 4 and if you divide 84 by 6 you get 14.