A sector with a radius 7 cm has an area of 49/3 pi cm2. What is the central angle measure of the sector in degrees?
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Answer:
<h2>7°</h2>Step by step explanation
We know that the diagonals of a square bisects it's angles and every angles of square are 90°
m<BCD = 90°
m<BCA = m< DCA = 4x + 17
m<BCA + m<DCA = m <BCD
4x + 17 + 4x + 17 = 90
4x + 4x + 17 + 17 = 90
8x + 34 = 90
8x = 90 - 34
8x = 56
X = 56/8
x = 7
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Using the normal distribution, it is found that there is a 0.0228 = 2.28% probability that a diode selected at random would have a length less than 20.01mm.
<h3>Normal Probability Distribution</h3>In a normal distribution with mean and standard deviation
, the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
In this problem, we have that:
- The mean is of
.
- The standard deviation is of
.
The probability that a diode selected at random would have a length less than 20.01mm is the <u>p-value of Z when X = 20.01</u>, hence:
has a p-value of 0.0228.
0.0228 = 2.28% probability that a diode selected at random would have a length less than 20.01mm.
More can be learned about the normal distribution at brainly.com/question/24663213