Step-by-step explanation:
The Circumference is:

Radius r is:

So,

Answer:
320
Step-by-step explanation:
First, convert the percent into a fraction.
250/3*100 = 250/300 = 5/6
5/6 of 384 is 5 * 64 = 320
Answer:
c. an observed difference is 0.12 and P < 0.0001
Step-by-step explanation:
Let p1 be the proportion of the students who received musical instruction received a passing grade
Let p2 be the proportion of the students who didn't receive musical instruction received a passing grade
Null and Alternative hypotheses are:
: p1-p2=0
: p1-p2≠0
Test statistic can be found using the equation:
where
- p1 is the sample proportion of the students who received musical instruction received a passing grade (
)
- p2 is the sample proportion of the students who didn't receive musical instruction received a passing grade (
)
- p is the pool proportion of p1 and p2 (
)
- n1 is the sample size of the students who received musical instruction (3239)
- n2 is the sample size of the students who didn't receive musical instruction (2787)
Thus,
≈ 11.84 gives p-value < 0.0001
Observed difference is: 0.87-0.75=0.12
<u>Answer
</u>
The concept can be used to prove that the diagonals of a parallelogram bisect each other is congruent triangles
<u>Explanation
</u>
In a parallelogram, opposite sides are equal and parallel.
The two diagonals in the parallelogram make four triangles. opposite triangles are congruent. That means two pair of congruent triangle are here.
Using congruence of triangles, we can prove the diagonals of a parallelogram bisect each other