Answer:
C. 75°
Step-by-step explanation:
We have been given a circle and we are asked to find the measure of angle AEC.
We will use Intersecting chords theorem to find the measure of angle AEC, which states that measure of angle formed inside a circle by two intersecting chords is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.
We can see that measure of arc AC is 110 degrees and measure of its vertical arc BD is 40 degrees.
Therefore, measure of angle AEC is 75 degrees and option C is the correct choice.
Answer:
yes
Step-by-step explanation:
Answer:
33.34%.
Step-by-step explanation:
Given that,
The actual price of the shirt = $36
Price on sale = $24
We need to find the percent of the decrease. The formula for the percentage is given by :
Putting all the values,
So, the percentage decrease in the price of the shirt is 33.34%.
Part a)
The mean height is 69 inches with a standard deviation of 2.5 inches.
If we consider a interval of heights that relies on no more than two standard deviations from the mean, we will cover, approximatelly, 95% of men's heights. Then, we interval that we're looking for is:
Answer: 64 TO 74 INCHES
Part b)
Since [69,74] is half of the interval in the previous answer, we might expect half of 95% as the percentage of men who are in this interval. That is:
Answer: 47.5 PERCENT
Part c)
A interval of heights that relies on no more than one standard deviation from the mean covers, approximatelly, 68% of men's heights. Then, we can consider that the percentage of men that are between 64 and 66.5 inches is given by 47.5 - 68/2 = 13.5.
Answr: 13.5 PERCENT
