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Solnce55 [7]
3 years ago
11

By what percent will the product of two numbers decrease if one of them is increased by 20% and the other is decreased by 20%?

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
7 0
It will stay the same (increasing one by 20 percent and decreasing the other will make it cancel out)
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There are 200 students in the 8th grade class at Alleghany Middle School. Of these students, 8% play basketball and 14% play soc
sergeinik [125]

Answer:

The probability that a student plays either basketball or soccer is 19% or 0.19.

Step-by-step explanation:

Let A be the event that student play basketball and  B be the event that student play soccer.

P(A)=8\%

P(B)=14\%

It is given that 6 students play on both teams.

P(A\cap B)=\frac{6}{200}\times 100=3\%

We have to find the probability that a student plays either basketball or soccer.

P(A\cup B)=P(A)+P(B)-(A\cap B)

P(A\cup B)=8\%+14\%-3\%

P(A\cup B)=19\%

Therefore the probability that a student plays either basketball or soccer is 19% or 0.19.

6 0
3 years ago
Determine whether each ordered pair is a solution to the inequality x+y<−1.
polet [3.4K]

Answer:

Choice A.  (10, -1)
Choice B.  (-8, 9)
Choice D.  (6, -3)

Step-by-step explanation:

If we plug the coordinates of point A into the inequality, then we get,
x+y > -2

10 + (-1) > -2
9 > -2
That last inequality is a true statement since 9 is to the right of -2 on the number line. That means (10,-1) is a solution. Choice A is one of the answers.
Choices B and D are also answers
for similar reasons.
Something like choice C is not a solution because
x+y > -2
-1+(-9) > -2
-10 > -2
Which is false.
You should find that choice E is false as well.

If you graphed the inequality and all of the points mentioned (see below), then you can visually confirm the answers. Notice how points A, B and D are in the blue shaded region which is the solution set.
The point E on the boundary does not count as a solution. This is due to the lack of "or equal to" portion of the inequality sign. That visually shows point E is not a solution. Point C isn't a solution either as it's nowhere near the blue shaded region.

3 0
2 years ago
Factors of -49 and add up to 14
Salsk061 [2.6K]

1,2,7,14 would be your answer :)

7 0
3 years ago
Options...
Tems11 [23]

sheet me don't know my friend

4 0
3 years ago
If Sin A = { then(2Cot²A + 2) is​
alukav5142 [94]

Answer:

18

Step-by-step explanation:

=2(cot²A+1)

=2cosec²A. [` . ` cot²A+1=cosec²A] =2(1/sinA)²

[' . 'cosecA=1/sinA]

=2×3²/1

=2cot²a+2=2×8+2=16+2=18

7 0
3 years ago
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