Step-by-step explanation:
If the two chords are congruent, then they must be equidistant from the centre of the circle.
Answer: <u><em>D) They must be perpendicular</em></u>
A is rejected because the chord might not pass through the center of the circle.
B is rejected because the chords are not obligated to be parallel.
C is rejected because it is not compulsory for the chords to be perpendicular.
Answer:
0.3 galloons of water.
Step-by-step explanation:
We know that 1/5 galloons of water fills 2/3 of the bin.
So, we can write the following fraction:

We want to find how many galloons will fill the entire bin or 1 whole bin. So, we can write the following proportion:

To find our answer, we need to solve for x.
So, let's cross-multiply. This yields:

Multiply both sides by 3:

The left side simplifies. Multiply on the right:

Now, multiply both sides by 1/2:

Simplify the left. Multiply on the right:

So, 3/10 of 0.3 of a gallon of water will fill the entire bin.
And we're done!
Answer:
Step-by-step explanation:
Given that:
Population Mean = 7.1
sample size = 24
Sample mean = 7.3
Standard deviation = 1.0
Level of significance = 0.025
The null hypothesis:

The alternative hypothesis:

This test is right-tailed.

Rejection region: at ∝ = 0.025 and df of 23, the critical value of the right-tailed test 
The test statistics can be computed as:



t = 0.980
Decision rule:
Since the calculated value of t is lesser than, i.e t = 0.980 <
, then we do not reject the null hypothesis.
Conclusion:
We conclude that there is insufficient evidence to claim that the population mean is greater than 7.1 at 0.025 level of significance.
Answer:
x = 31 degrees
Step-by-step explanation:
180 - 149 = 31
Hope this helps!