First, we would set the number to x.
Then, we turn the words into an equation.
x+75 = 3x-39
Isolate the x.
-2x = -114
So...
x = 57
The Alpitude is 5 because that is what the positive slope is. The Vertex is (2,6) because that is the lowest point on the graph. The equation is
y=5lx-2l-6 (lx-2l reprsents the absolute value of x-2)
Using the binomial distribution, it is found that you could expect the product to be a multiple of 6 about 39 times.
For each trial, there are only two possible outcomes, either the result is a multiple of 6, or it is not. The result of each trial is independent of any other trial, hence the <em>binomial distribution</em> is used to solve this question.
<h3>What is the binomial probability distribution?</h3>
It is the probability of exactly <u>x successes on n repeated trials, with p probability </u>of a success on each trial.
The expected value of the binomial distribution is:

In this problem:
- When two cubes are tossed and their products multiplied, there are 36 possible outcomes. Of those, (1,6), (2,3), (2,6), (3,4), (3,6), (4,3), (4,6), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6), that is, 14 result in a multiplication multiple of 6, hence p = 14/36.
- There will be 100 trials, hence n = 100.
Then, the <em>expected value</em> is given by:

Rounding up, you could expect the product to be a multiple of 6 about 39 times.
More can be learned about the binomial distribution at brainly.com/question/24863377
Answer:
units
Step-by-step explanation:
The median is the line segment connecting the vertex with the midpoint of the opposite side.
<u>The midpoint has coordinates:</u>
- x = (-3 + 5)/2 = 2/2 = 1
- y = (3 + 1)/2 = 4/2 = 2
<u>Use the distance formula to find the distance between points (2, 7) and (1, 2):</u>
- <u />


Answer:
Option "A" is correct answer to the following question.
Step-by-step explanation:
We know that, in triangle sum of two smaller lines ≥ largest side
So,
3 cm + 3 cm < 6 cm [Not correct to the given situation.]
3 cm + 4 cm > 5 cm [Correct]
3 cm + 5 cm > 7 cm [Correct]
3 cm + 6 cm > 6 cm [Correct]