Number 5 is 135 because angle 3 is congruent to 7 and 7 is 135
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)
4. Here you would use the Pythagorean Theorem. a² + b² = c²
In this case a and b are the same, so : a² + a² = c² would also work.
a = 5√2 so: (5√2)² + (5√2)² = c²
Do you know where to go from here?
Answer:
1/12
Step-by-step explanation:
The question can be written as (1/4) / 3. This is equivalent to (1/4)*(1/3), which is 1/12.
Answer:
3-3x/8
Step-by-step explanation: