Answer:
1
Step-by-step explanation:
The first step is to understand what the integrand looks like. (See the graph below.)
It is -1 for x < 0 and +1 for x > 0. Thus, the value of this integral is ...

_____
Essentially, you treat the absolute value as a piecewise linear function. This is the same way you treat an absolute value in any equation or inequality.
Here, this means you divide the integral into two parts: one where the integrand is -x/x, and one where it is +x/x.
Using it's concept, it is found that there is a 0.5 = 50% probability that one of the fair number cubes is a 1.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
The outcomes of the pair of cubes that result in a sum of 5 are as follows:
(1,4), (2,3), (3,2), (4,1).
Of those 4 outcomes, 2 involve a number 1, hence the probability is given by:
p = 2/4 = 0.5.
More can be learned about probabilities at brainly.com/question/14398287
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Answer:
True :p
Step-by-step explanation:
The place with the best buy between village market and Sam's club is Sam's club at $0.59 per can.
<h3>Unit rate</h3>
Village market:
- Green beans = 5 cans
- Total cost = $3.70
Unit rate = Total cost / green beans
= 3.70 / 5
= $0.74 per can
Sam's club:
- Green beans = 10 cans
- Total cost = $5.90
Unit rate = Total cost / green beans
= 5.90/10
= $0.59 per can
Therefore, the place with the best buy between village market and Sam's club is Sam's club at $0.59 per can.
Learn more about unit rate:
brainly.com/question/4895463
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Answer:
After 22 seconds the projectile reach its maximum height of 4,840 units
Step-by-step explanation:
we have

This is a vertical parabola downward (because the leading coefficient is negative)
The vertex is a maximum
Find out the coordinates of the vertex
Convert the quadratic equation in vertex form
Factor -10

Complete the square


Rewrite as perfect squares

The vertex is the point (22,4,840)
therefore
After 22 seconds the projectile reach its maximum height of 4,840 units