Explain how mental math can be used to estimate a 15% tip on a taxi ride that costs $23.25
2 answers:
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Answer:
Because tan represents from θ (theta), the equation should be
=
. Let's leave this equation like that. Now, we need to find the unknown side length, x. We need to use Pythagorean Theorem, because we're given the other two side lengths. The equation should be
. X should equal ±8 or 8, because a side length can't be a negative value. Now, we can plug in 8 into the equation to get
.
Answer:
a) 83.87% probability that at most 7 of the next 10 customers will order a hamburger.
b) 25.08% probability that exactly 6 of the next 10 customers will order a hamburger
Step-by-step explanation:
For each customer at McDonalds, there are only two possible outcomes. Either they purchase a hamburguer, or they do not. The purchases of different customers are independent. So we use the binomial probability distribution 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.
60 percent of customers at a McDonalds purchase a hamburger
This means that
a) What is the probability that at most 7 of the next 10 customers will order a hamburger? (3 POINTS).
This is when n = 10.
We know that either at most 7 of the next customers will order a hamburguer, or more than 7 will. The sum of these probabilities is decimal 1. So
In which
83.87% probability that at most 7 of the next 10 customers will order a hamburger.
b) What is the probability that exactly 6 of the next 10 customers will order a hamburger? (3 POINTS)
This is P(X = 6).
25.08% probability that exactly 6 of the next 10 customers will order a hamburger