Answer:
m<Q = 92 degrees
Step-by-step explanation:
Opposite angles of a quadrilateral inscribed in a circle are supplementary.
Angles O and Q are opposite angles, so they are supplementary, so their measures add up to 180 degrees.
m<O + m<Q = 180
2x + 2x + 4 = 180
4x + 4 = 180
4x = 176
x = 44
m<Q = 2x + 4 = 2(44) + 4 = 92
Answer:
a. .92
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
The margin of error of the interval is:
The lower bound is the point estimate subtracted by the margin of error.
The upper bound is the point estimate added to the margin of error.
Point estimate:
The confidence interval is symmetric, so it is the mean between the two bounds.
In this problem:
Sample of 400, which means that 
Margin of error is the estimate subtracted by the lower bound. So 
We have to find z.
has a pvalue of 0.96.
This means that:
Confidence level:
So the correct answer is:
a. .92
If the two angles form a linear pair, the sum of the angles is 180 degrees.
If the small angle is one-third of the other, then the total is 1+1/3=4/3 of the larger angle.
By proportion,
L+L/3=4L/3=180
L=180*3/4=135 degrees
Smaller angle = L/3=45 degrees
Check: L+L/3=135+45=180 degrees, ok
Just divide 96 / 8. You find that you drink 12 ounces of water in one hour.
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