Answer:
Point-slope form: y-4=2(x+1)
Slope intercept form: y=2x+6
I hope this helps!
The constant is -12. I think of constant as the "lonely little number".... Hope this helped =)
Answer:
Length=17
Width=4
Step-by-step explanation:
Length=x
Width=2x-30
x(2x-30)=68
2x²-30x=68
2x²-30x-68=0
2(x²-15x-34)=0
2(x+2)(x-17)=0
So x equals either 17 or -2. Since it can’t be -2, x=17
Length=x=17
Width=2x-30=2*17-30=34-30=4
<span>Simplifying
9e + -7 = 7e + -11
Reorder the terms:
-7 + 9e = 7e + -11
Reorder the terms:
-7 + 9e = -11 + 7e
Solving
-7 + 9e = -11 + 7e
Solving for variable 'e'.
Move all terms containing e to the left, all other terms to the right.
Add '-7e' to each side of the equation.
-7 + 9e + -7e = -11 + 7e + -7e
Combine like terms: 9e + -7e = 2e
-7 + 2e = -11 + 7e + -7e
Combine like terms: 7e + -7e = 0
-7 + 2e = -11 + 0
-7 + 2e = -11
Add '7' to each side of the equation.
</span><span>Combine like terms: -7 + 7 = 0
0 + 2e = -11 + 7
2e = -11 + 7
</span><span>Combine like terms: -11 + 7 = -4
2e = -4
Divide each side by '2'.
e = -2
Simplifying
e = -2</span>
Answer:
Null hypothesis: 
Alternative hypothesis: 
Step-by-step explanation:
1) Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
2) Solution to the problem
Let X the random variable that represent the score for all test‑takers and the distribution for X is:

Let
the true mean for the Philippines.
On this case we want to test is
So the correct system of hypothesis for this case would be:
Null hypothesis: 
Alternative hypothesis: 
In order to test we know the population deviation and the sample size n=250. But we need the sample mean and a significance level to test the claim.