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Citrus2011 [14]
3 years ago
11

Substract 11 3/4 - 9 8/15

Mathematics
1 answer:
Tju [1.3M]3 years ago
3 0

Answer:

2 and 13/60

Step-by-step explanation:

First, we must create a common denominator in the fractions. For the given denominators, it would be 60, so 3/4 would be 45/60 and 8/15 would be 32/60. From here, we can just subtract and get 2 and 13/60.

Hope this helps!

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1. A luge race is very dangerous, and a crash can cause serious injuries. The league requires anyone who has a crash to have a t
antiseptic1488 [7]

Answer:

0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season

Step-by-step explanation:

For each race, there are only two possible outcomes. Either the person has a crash, or the person does not. The probability of having a crash during a race is independent of whether there was a crash in any other race. 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.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

A certain performer has an independent .04 probability of a crash in each race.

This means that p = 0.04

a) What is the probability she will have her first crash within the first 30 races she runs this season

This is:

P(X \geq 1) = 1 - P(X = 0)

When n = 30

We have that:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{30,0}.(0.04)^{0}.(0.96)^{30} = 0.2939

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2939 = 0.7061

0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season

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