Answer:
5
Step-by-step explanation:
The answer is 5
because 3 - 5 = -2
and -2 + 7 = 5
so the answer is 5
By the polynomial remainder theorem, the remainder upon dividing

by

will be the value of

.
... | 1 ... -6 ... -4 ... -6 .... -2
3. | .. ... 3 ... -9 ... -39 .. -135
--------------------------------------
... | 1 ... -3 ... -13 . -45 .. -137
So you have

which means

.
Answer:
30 = 9x + 7
Step-by-step explanation:
The total weight of the bundle = 30 pounds
The weight of the bricks = x pounds
But he carried 9 bricks = 9x pounds
He also carried additional 7 pounds of concrete block.
An equation to show the total weight he carried is
30 pounds = (9x + 7) pounds
Since 9x represents the total weight of the bricks he carried
7 represents the weight of the concrete block
And 30 pounds represents the total weight of everything he carried.
The image point of (4,-2) after the transformations given is; (2,1).
<h3>What is the image point after the transformations?</h3>
It follows from the task content that the point given is (4, -2) which first reflects over the y axis and hence, renders the new image to be; (4, 2) after which it undergoes a dilation of with dilation factor, 1/2 and hence, the image point is; (2,1).
Read more on transformations;
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Answer:
85.71% probability that it takes Evelyn less than 38 minutes given that it takes less than 41 minutes for her to go grocery shopping
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X lower than x is given by the following formula.

Uniformly distributed between 20 minutes and 44 minutes.
This means that
.
What is the probability that it takes Evelyn less than 38 minutes given that it takes less than 41 minutes for her to go grocery shopping
We know that it takes less than 41 minutes, so we can update b to 41.
So

85.71% probability that it takes Evelyn less than 38 minutes given that it takes less than 41 minutes for her to go grocery shopping