If one point on a vertical line has the coordinates (-4, 1), which points are also on the line?
1 answer:
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The probability that that a randomly selected student will buy a raffle ticket and win a prize = 0.03
Step-by-step explanation:
Step 1 :
Given,
The percentage of students buying the raffle ticket = 30%
The percentage that the student who bought the ticket wins the prize = 10%
We need to determined the probability that randomly selected student will buy a raffle ticket and win a prize.
Step 2 :
The probability that a student buys the raffle ticket =
The probability that a student wins a prize = =
The probability that a student who buys the ticket wins a price can be computed by taking the product of the above 2 probabilities.
= ×
=
= 0.03
Step 3 :
Answer :
The probability that that a randomly selected student will buy a raffle ticket and win a prize = 0.03
Given:
In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle.
To find:
The measures of the 2 acute angles of the triangle.
Solution:
Let x be the measure of one acute angle. Then the measure of another acute is (2x+12).
According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees. So,
Divide both sides by 3.
The measure of one acute angle is 26 degrees. So, the measure of another acute angle is:
Therefore, the measures of two acute angles are 26° and 64° respectively.