Answer:
b. 0.216
Step-by-step explanation:
For each student, there are only two possible outcomes. Either they have a job, or they do not. The probability of a student having a job is independent of other students. 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.
60% of the students at a large university have a job
This means that 
If three of these students are randomly selected what is the probability all three have jobs?
This is 
when 
. So
So the correct answer is:
b. 0.216
Answer: E. Greater than 10
Step-by-step explanation:
First, know that number to the left of a number line are negative and the square of any negative number will be positive and a perfect square.
Since the square of the unknown number is less than 1/100 i.e 0.01 then the possible unknown number 'n' can be -0.01 itself, of which the square of -0.01 will give us 0.0001 (1/10,000) i.e a value less than 0.01.
The reciprocal of 1/10000 is 10,000 which is a value greater than 10.
Answer:
(3,-1)
Step-by-step explanation:
So we have the system of equations:
As directed, add straight down. The y-variable will cancel:
Now, divide both sides by 5. The left cancels:
So x is 3.
Now, substitute 3 for x in either of the equations:
Substitute 3 for x:
Multiply:
Subtract 9 from both sides:
So, our answer is: x=3, y=-1 or (3,-1).
And we are done :)
Answer:
514 days
Step-by-step explanation:
We use the formula (r+n-1)/r(n-1)
There are 1540 combinations. Then, we'll divide them by three because were not just finding the amount of combinations, but the time it'd take to play them all.
We get 513.333(cont.)
thats not really possible, so we're gonna go with 514 instead, rounding up. Normally we'd round down, because the number behind the decimal is below 5, but we really want to make sure we get every combination in there.
Hope this is helpful!
Answer:
134.73
Step-by-step explanation:
Solving for m:
243 = m + 108.27
243 - 108.27 = m + 108.27 - 108.27
134.73 = m
