Answer:
By using hypothesis test at α = 0.01, we cannot conclude that the proportion of high school teachers who were single greater than the proportion of elementary teachers who were single
Step-by-step explanation:
let p1 be the proportion of elementary teachers who were single
let p2 be the proportion of high school teachers who were single
Then, the null and alternative hypotheses are:
: p2=p1
: p2>p1
We need to calculate the test statistic of the sample proportion for elementary teachers who were single.
It can be calculated as follows:
where
- p(s) is the sample proportion of high school teachers who were single (
) - p is the proportion of elementary teachers who were single (
)
- N is the sample size (180)
Using the numbers, we get
≈ 1.88
Using z-table, corresponding P-Value is ≈0.03
Since 0.03>0.01 we fail to reject the null hypothesis. (The result is not significant at α = 0.01)
If they already have $175, they need $250 more dollars. At $8 a water bottle, they would need to sell at least 32 more bottles.
Answer:
76.5
Step-by-step explanation:
if the area is 76.5^2, then all you have to do is take the square root, and it is 76.5
Answer:
Solution: (-1, -1)
Step-by-step explanation:
y=4x+2
y=-4/3x-2
Solve by graphing.
First, you need to plot the y-intercept.
y=4x+<u>2</u>
2 will be your y-intercept.
Next, you plot your slope.
y=<u>4x</u>+2
From your y-intercept, you will go up 4 and right one space, if you run out of space go down 4 and left 1.
Now repeat the same steps for the next one.
y=-4/3x<u>-2</u>
Plot your y-intercept.
y=<u>-4/3x</u>-2
because your slope is negative you will go down 4 and right 3, if you run out of room go up 4 and left 3.
Then draw connecting lines and wherever the lines intersect, that's going to be your solution. In this case, the solution is (-1, -1).
Hope this helps :)
Answer:
12x-6
Step-by-step explanation:
perimeter= 2l+2w
=2(x+4)+2(5x-7)
=2x+8+10x-14
=12x-6
