Sara's high school played 15 basketball games this year and 3 were at night.
1 answer:
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Answer:
Step-by-step explanation:
<u>Rational Numbers</u>
A rational number is any number that can be expressed as a fraction
for a and b any integer and b different from 0.
As a consequence, any number that cannot be expressed as a fraction or rational number is defined as an Irrational number.
Let's analyze each one of the given options
The first part of the number is indeed a rational number, but the second part is a square root whose result cannot be expressed as a rational, thus the number is not rational
The second part is an exact square root (resulting 4) but the first part is a known irrational number called pi. It's not possible to express pi as a fraction, thus the number is irrational
The square root of 121 is 11. It makes the whole number a sum of a rational number plus an integer, thus the given number is rational
As with the first number, the square root is not exact. The sum of a rational number plus an irrational number gives an irrational number.
Correct option:
Answer:
66.76% probability that the levee will NEVER fail in the next 20 years.
Step-by-step explanation:
For each year, there are only two possible outcomes. Either a levee fails during the year, or no levees fail. In each year, the probabilities of levees failing are independent from each other. So we use the binomial probability distribution to solve this problem.
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.
In this problem we have that:
A levee was designed to protect against floods with an annual exceedance probability of 0.02. This means that
What is the risk that the levee will NEVER fail in the next 20 years?
This is when
. So
66.76% probability that the levee will NEVER fail in the next 20 years.