The contrapositive of the statement p ⇒ q is not q ⇒ not p and both the statements are equivalent.
So, the contrapositive of the statement "If it is Friday, then Bruce has beans for supper" is "If Bruce does not have beans for supper, then, it is not Friday"
This is the last statement given and is the answer.
9 because the square root of 81 is 9
Answer:
A)0.8533
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they are 65 or older, or they are not. The probability of a person being 65 or older is independent of any other person. 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.
14 percent of the population of Arizona is 65 years or older.
This means that 
A random sample of five persons from this population is taken.
This means that 
The probability that less than 2 of the 5 are 65 years or older is :
In which
So the correct answer is:
A)0.8533
Answer:
18 men attended the baseball game, and 30 women attended the baseball game.
Step-by-step explanation:
Let the number of men in attendance be x and the number of women in attendance be x+12.
No. of men + <em>No. of women</em> = <u>48 </u>
x +<em> x + 12</em> = <u>48</u>
2x + 12 = 48
2x = 48 - 12
= 36
x = 36 ÷ 2
x = 18
x+12: 18 + 12 = 30
Answer:
7
Step-by-step explanation:
We want to find the number 4-digit of positive integers n such that removing the thousands digit divides the number by 9.
__
Let the thousands digit be 'd'. Then we want to find the integer solutions to ...
n -1000d = n/9
n -n/9 = 1000d . . . . . . add 1000d -n/9
8n = 9000d . . . . . . . . multiply by 9
n = 1125d . . . . . . . . . divide by 8
The values of d that will give a suitable 4-digit value of n are 1 through 7.
When d=8, n is 9000. Removing the 9 gives 0, not 1000.
When d=9, n is 10125, not a 4-digit number.
There are 7 4-digit numbers such that removing the thousands digit gives 1/9 of the number.
