Answer:
12
Step-by-step explanation:
This can be solved by working backwards.
7 is one more than half the number of invitations.
Subtract 1. 6 is half the number of invitations.
Double.
12 is the full number of invitations.
Algebra (if you must!):
x = number of invitations
x/2 + 1 = 7
Subtract 1.
x/2 = 6
Multiply by 2.
x = 12
Answer:
A, 
Step-by-step explanation:
a^2 + b^2 = c^2
8^2 + b^2 = 9^2
64 + b^2 = 81
b^2 = 17
b = 
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.
please see the attached picture for full solution
hope it helps
good luck on your assignment
The required number is 4
Step-by-step explanation:
We need to find the number from the given statement:
What number increased by two is equal to two less than twice the number?
Converting statement into mathematical form.
Let number=x
number increased by two: x+2
is equal: =
two less than twice the number: 2x-2
So, equation is:

Solving the equation to find value of x:




So, the required number is 4.
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