Answer:
D. Neither perpendicular nor parallel
Step-by-step explanation:
Let's find the slope (m) of both lines:
✔️Slope (m) of the line that passes through (6, -1) and (11, 2):
Slope (m) = change in y/change in x
Slope (m) = (2 -(-1))/(11 - 6) = 3/5
✔️Slope (m) of the line that passes through (5, -7) and (8, -2)
Slope (m) = change in y/change in x
Slope (m) = (-2 -(-7))/(8 - 5) = 5/3
✅The slope of both lines are not the same, therefore they are not parallel nor same line.
Also, the slope of one is not the negative reciprocal of the other, therefore they are not perpendicular.
Answer:
4x
Step-by-step explanation:
Given the expression
4x² - 36x
Get the individual factor of each terms
4x² = 4 * x * x
36x = 4 * 9 * x
4x² - 36x = 4x(x-9)
From both factors we can see that 4*x is common to them, hence the greatest common factor is 4x
The number of DVDs that will be checked out for every 100 patrons will be 20.
<h3>How to find that a given condition can be modeled by binomial distribution?</h3>
Binomial distributions consist of n independent Bernoulli trials.
Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))
Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as
The probability that out of n trials, there'd be x successes is given by
The expected value of X will be:
The information is given in the table.
The probability of getting DVDs will be
The value of n is 100.
Then the number of DVDs that will be checked out for every 100 patrons will be
Learn more about binomial distribution here:
brainly.com/question/13609688
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Answer:
He can give 4 friends pieces of a candy bar.
Step-by-step explanation:
Each person has to have exactly 3/4 a candy bar.
If you divide all 3 1/2 candy bars into fourths, you will have 14 pieces.
So then, take out portions of 3 at a time, so take out 3 of these pieces, you have one friend. Take out another 3 pieces you now took 6 out and gave to 2 friends. Take another three and you've taken out 9 pieces for 3 friends. Take one more set of 3 pieces you now have taken out 12 pieces for 4 friends. There are only 2 more pieces left which is not enough for another friend so you have 4 friends that got some chocolate.
Hope this helps!! :)
