Answer:
![144x - 96y - 30](https://tex.z-dn.net/?f=144x%20-%2096y%20-%2030)
Step-by-step explanation:
<u>Step 1: Distribute
</u>
![6(4(6x - 4y) - 5)](https://tex.z-dn.net/?f=6%284%286x%20-%204y%29%20-%205%29)
![6((4 * 6x) + (4 * -4y) - 5)](https://tex.z-dn.net/?f=6%28%284%20%2A%206x%29%20%2B%20%284%20%2A%20-4y%29%20-%205%29)
![6(24x - 16y - 5)](https://tex.z-dn.net/?f=6%2824x%20-%2016y%20-%205%29)
<u>Step 2: Distribute again
</u>
<u />![(6 * 24x) + (6 * -16y) + (6 * -5)](https://tex.z-dn.net/?f=%286%20%2A%2024x%29%20%2B%20%286%20%2A%20-16y%29%20%2B%20%286%20%2A%20-5%29)
![144x - 96y - 30](https://tex.z-dn.net/?f=144x%20-%2096y%20-%2030)
Answer: ![144x - 96y - 30](https://tex.z-dn.net/?f=144x%20-%2096y%20-%2030)
Answer:
We want to test the the claim that in general, 10% of students repeat a course and thats what we want to verify so then the system of hypothesis are:
Null hypothesis: ![p =0.1](https://tex.z-dn.net/?f=p%20%3D0.1)
Alternative hypothesis ![p \neq 0.1](https://tex.z-dn.net/?f=p%20%5Cneq%200.1)
And the best option for this case is given:
d) H0:p=0.1 vs. H1:p
0.1
Step-by-step explanation:
For this case we have the folloing info:
number of people repeating the class
the sampel size selected
the estimated proportion of people repeating the class
We want to test the the claim that in general, 10% of students repeat a course and thats what we want to verify so then the system of hypothesis are:
Null hypothesis: ![p =0.1](https://tex.z-dn.net/?f=p%20%3D0.1)
Alternative hypothesis ![p \neq 0.1](https://tex.z-dn.net/?f=p%20%5Cneq%200.1)
And the best option for this case is given:
d) H0:p=0.1 vs. H1:p
0.1 .
I would say x=30 y=90
because
(y+x)
90+30=120
(y-x)
90-30=60
the sum of those 2 angles should equal 180 because they are supplementary angle.
120+60=180
and because the angles of 2x and y+x are also supplementary they should equal 180
2x
2(30)
=60
(y+x)
90+30
=120
120+60=180
The reflexive property of equality simply states that a value is equal to itself.
0⁰ = 0
or it can be with any number like 44⁰ it would equal 1