Vinay constructed this spinner based on the population of teachers at his school.
1 answer:
The probability that he will have a male history teacher two years in a row is (3/8)² option third is correct.
<h3>What is probability?</h3>It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
The question is incomplete.
The complete question is:
Vinay constructed this spinner based on the population of teachers at his school. A spinner with 8 equal sections.
According to Vinay’s model, what is the probability that he will have a male history teacher two years in a row?
Please refer to the attached picture for figures and options.
We have:
A spinner with 8 equal sections.
Number of male teachers = 3
P(male history teacher) = 3/8
In two years:
P(male history teacher year two) = 3/8
P(male, male) = (3/8)(3/8) = (3/8)²
Thus, the probability that he will have a male history teacher two years in a row is (3/8)² option third is correct.
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Drawing a diagram to represent the information you've given, the only angle we are missing is B. We can find that by subtracting the two we're given from 180:
180 - 90 - 48.8 = 41.2
<em>m</em>∠<em>B</em> = 41.2°.
We can use the angles and the one side we're given to find the remaining sides. Since we do not know the length of the hypotenuse, AB, we cannot use sine or cosine. We must use tangent (the ratio for tangent is opposite/adjacent):
Multiply both sides by 1.6:
This is the length of side AC, which is opposite to angle B.
To find the length of AB we can use the Pythagorean Theorem:
The length of side AC, the hypotenuse, is 4 inches.
180 - 90 - 48.8 = 41.2
<em>m</em>∠<em>B</em> = 41.2°.
We can use the angles and the one side we're given to find the remaining sides. Since we do not know the length of the hypotenuse, AB, we cannot use sine or cosine. We must use tangent (the ratio for tangent is opposite/adjacent):
Multiply both sides by 1.6:
This is the length of side AC, which is opposite to angle B.
To find the length of AB we can use the Pythagorean Theorem:
The length of side AC, the hypotenuse, is 4 inches.