Three fourths divided by one eighths
1 answer:
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Answer:
The height of the triangle is 5.2 inches
Step-by-step explanation:
we know that
An <u>equiangular triangle</u> is a triangle where all three interior angles are equal in measure
Remember that an equilateral triangle has three equal sides and three equal interior angles
so
An equiangular triangle Is the same that an equilateral triangle. The measure of its interior angles is equal to 60 degrees
Let
h ----> the height of triangle
b ---> the length side of the triangle
Applying Pythagoras Theorem
we have
substitute
see the attached figure to better understand the problem
Answer:
a. 0.1681 = 16.81% probability that all five qualify for the favorable rate.
b. 0.5283 = 52.83% probability that at least four qualify for the favorable rates
Step-by-step explanation:
For each Puerto Rico resident, there are only two possible outcomes. Either they qualify for discounted rates, or they do not. The probability of a person in the sample qualifying for discounted rates is independent of any other person in the sample. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
70% of the island residents of Puerto Rico have reduced their electricity usage sufficiently to qualify for discounted rates.
This means that
Five residential subscribers are randomly selected from San Juan, Puerto Rico
This means that
a. All five qualify for the favorable rate
This is P(X = 5). So
0.1681 = 16.81% probability that all five qualify for the favorable rate.
b. At least four qualify for the favorable rates
This is
So
0.5283 = 52.83% probability that at least four qualify for the favorable rates