A school has a goal of getting at least 2000 boxtops. They have 872 so far. They have 8 days left to get it. At least how many d
1 answer:
Answer:
School needs to collect at least 144 box tops each day to meet their goal.
Step-by-step explanation:
The total requirement of box tops = 2,000
The number of box tops they have already received = 872
So, the box tops left = Total number required- Number of tops received
=2,000 - 872
= 1,128 box tops are left so far.
Number of days left = 8
So, number of minimum tops needed each day =
=
Hence, they need to collect at least 144 box tops each day to meet their goal.
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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.
Answer:
f(x)= 4x+9
F(x)=1/x
Step-by-step explanation:
An odd function accomplish the following condition:
f(-x) = -f(x) (1)
By checking (1) on each of the next functions, we have:
f(-x) = (-x)^3 - (-x)^2 -f(x) = - (x^3- x^2)
f(-x) = (-x)^5 -3(-x)^3 + 2(-x) -f(x) = -x^5 +3x^3 +2x
f(-x)= -4x +9 = -f(x)
F(-x) = -1/x =-F(x)