Answer:
See below
Step-by-step explanation:
A 2.5 % decrease means 97.5 % remains (.975)
population = 10800 ( .975) ^n where n = years past 2002
in 2020 n = 18
10800 (.975)^18 = 6847 people
Approximately 14%
14-12=2
2/14=1/7
1/7*100=14.29
14.29%
The sample space would be the number of students, so 1200.
The outcome the compose the event would be drawing one name at random.
The probability of Sophia winning would be 1 out of 1200, as a fraction: 1/1200, as a decimal: 0.00083
Because there is 1200 students, the probablity would be unlikely, since the sample is a large number.
The measure of the angle x to the nearest hundredth is 22.62 degrees.
<h3>How to find the measure of an angle in a right triangle?</h3>
A right triangle is a triangle that has one of its angles as 90 degrees.
Therefore, the sides or angles can be found using trigonometric ratios, depending on the parameters given.
Hence, using trigonometric ratios,
cos x° = adjacent / hypotenuse
Therefore,
hypotenuse = 13 units
adjacent side = 12 units
Thus,
cos x = 12 / 13
cos x = 0.92307692307
x = cos ⁻¹ 0.92307692307
x = cos¹ 0.92307692307
x = 22.619864948
x = 22.62 degrees
Therefore, the measure of the angle x to the nearest hundredth is 22.62 degrees.
learn more on right triangle here: brainly.com/question/27996575
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