How do you know if an angle is acute or obtuse?
2 answers:
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Probability helps us to know the chances of an event occurring. The probability that the next customer will pay with cash as a percent to the nearest whole number is 64%.
<h3>What is Probability?</h3>Probability helps us to know the chances of an event occurring. The sum of all the probabilities of an event is always equal to 1. The formula for probability is given as,
Given that in the last week 71 customers paid cash, 4 customers used a debit card, and 36 customers used a credit card. Therefore, the total number of customers who came to the business last month is,
Total number of customers = 71 + 4 + 36 = 111
Now, the probability that the next customer will pay with cash is,
Probability
= Number of customers who pay with cash / Total number of customers
= 71 / 111
= 0.63963
To convert probability into percentage multiply it by 100%, therefore, the probability can be written as,
Probability = 0.63963 × 100%
= 63.963% ≈ 64%
Hence, the probability that the next customer will pay with cash as a percent to the nearest whole number is 64%.
Learn more about Probability here:
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Answer:
The height of the tree is is 60m
Step-by-step explanation:
Let's answer a, as it is the only complete question.
We know that the angle of elevation of the top of a tree observed from a point 60m away, is 45°.
We can model this with a triangle rectangle, a sketch of it can be seen below (assuming that you are looking it from the ground).
You can see that the adjacent cathetus to the 45° angle is equal to 60m
And the opposite cathetus is the measure we want to find.
Now you can remember the trigonometric relation:
tan(a) = (opposite cathetus)/(adjacent cathetus).
So to find the height of the tree we need to solve:
tan(45°) = H/60m
This is just:
tan(45°)*60m = H =60m
The height of the tree is is 60m
