Answer:
H0: p = 0.078
Ha: p ≠ 0.078
Step-by-step explanation:
The researchers say that the rate is about 7.8%, or 0.078 as a decimal. That makes that the null hypothesis because using "is" in math is the same as saying "equals" and the null hypothesis always has the statement of equality in it. The reason there is a not equals to sign in the alternate is for this reason as well. The researchers say it is about that amount, not more or less than that amount. So it makes this a 2 tailed test. If the amount is significantly higher or lower, then we might have to reject the null hypothesis depending on the outcome of the test.
Answer:
(-4,0)(4,-4)
slope(m) = (-4 - 0) / (4 - (-4) = -4/(4 + 4) = -4/8 = -1/2. A parallel line will have the same slope.
y = mx + b
slope(m) = -1/2
(2,3)...x = 2 and y = 3
now we sub and find b, the y int
3 = -1/2(2) + b
3 = -1 + b
3 + 1 = b
4 = b
y = -1/2x + 4
1/2x + y = 4....multiply by 2
x + 2y = 8 <== ur parallel line
Answer:
Elimination method
Step-by-step explanation:
We have a choice to eliminate the y or x:
I chose x
So now we double the second equation to make the co efficient of x the same:
6x-5y = -3
6x+4y = 24
Now we subtract both equations to eliminate the x's:
6x-5y = -3
- - -
6x+4y = 24
-9y = -27
y = 3
Now we substitute this value into either equation 1 or 2:
I chose 2
3x + 2(3) =12
Simplify:
3x + 6 =12
Subtract 6 from both sides:
3x + 6 -6 = 12 -6
Simplify:
3x = 6
Divide both sides by 3:
3x÷3 = 6÷3
Simplify:
x = 2
I hope it can help you hehehe
