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masha68 [24]
2 years ago
6

What are rational numbers? Why is it important to study rational numbers?

Mathematics
1 answer:
xxTIMURxx [149]2 years ago
3 0

Answer:

Any number that can be written as a fraction with integers is called a rational number . For example, 17 and −34 are rational numbers. (Note that there is more than one way to write the same rational number as a ratio of integers. For example, 17 and 214 represent the same rational number.)

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Consider the probability distribution shown below.
rusak2 [61]

Answer:

it is b

Step-by-step explanation:

3 0
2 years ago
ms rivera went to the store and spent $10.00 on apples. apples are on sale for $2.00 per pound. how many pounds did ms rivera bu
MaRussiya [10]

Answer:

She bought 5 pounds.

Step-by-step explanation:

if she spent 10 dollars and its 2 dollars per pound that means that you have to divide 10 by 2 in order to get how many pounds you can buy for 10 dollars.

If you think about it if you want 2 pounds then you multiply 2 by 2 to get four because its 2 dollars per pound and you need 2 pounds. so since you don't know the number of pounds you fill in the blanks and do 10/2 to get 5.

4 0
2 years ago
Read 2 more answers
(PLEASE ANSWER QUICK) Which data set could be represented by the box plot shown below?
Naily [24]

Answer:

Your answer is B

Step-by-step explanation:

The lowest number is 4, therefore it cannot be C.

Now you'll have to cross out numbers on both sides and your mean will be 9 because you'll have to add 8 and 10 together and 18 divided by 2 is 9.

Next, put a line between 8 and 10, now the 8 side is the lower quartile and the 10 side is the greater quartile.

For the lower quartile, add 7 and 7 together, divide 14 by 2 and the lower quartile is 7.

For the greater quartile, add 11 and 13 together, that's 24, divide 24 by 2 and that's 12.

Lowest: 4

Mean: 9

Lower quartile: 7

Greater quartile: 12

Highest: 14

Therefore your answer is B and not A or C.

8 0
3 years ago
I literally don't know how to figure this out i haven't done this in ages. Help please
Hitman42 [59]
We begin with an unknown initial investment value, which we will call P. This value is what we are solving for.

The amount in the account on January 1st, 2015 before Carol withdraws $1000 is found by the compound interest formula A = P(1+r/n)^(nt) ; where A is the amount in the account after interest, r is the interest rate, t is time (in years), and n is the number of compounding periods per year.

In this problem, the interest compounds annually, so we can simplify the formula to A = P(1+r)^t. We can plug in our values for r and t. r is equal to .025, because that is equal to 2.5%. t is equal to one, so we can just write A = P(1.025).

We then must withdraw 1000 from this amount, and allow it to gain interest for one more year.

The principle in the account at the beginning of 2015 after the withdrawal is equal to 1.025P - 1000. We can plug this into the compound interest formula again, as well as the amount in the account at the beginning of 2016.

23,517.6 = (1.025P - 1000)(1 + .025)^1
23,517.6 = (1.025P - 1000)(1.025)

Divide both sides by 1.025

22,944 = (1.025P - 1000)

Add 1000 to both sides

23,944 = 1.025P

Divide both by 1.025 for the answer

$22,384.39 = P. We now have the value of the initial investment.

8 0
2 years ago
Find the range of y = 3/2 cos 4x - 1
motikmotik

Answer:

B. -2\frac{1}{2} \leq y \leq \frac{1}{2}

Step-by-step explanation:


The given trigonometric function is

f(x)=\frac{3}{2}cos4x-1.


The amplitude of this function is \frac{3}{2}, so under normal circumstances the range is supposed to be

-\frac{3}{2} \leq y \leq \frac{3}{2}

But the -1 is a downward vertical shift.

Therefore the normal boundaries  of the range will shift down one unit to give the range of the transformed function.


We subtract 1 from the lower boundary to get -\frac{3}{2}-1=-2\frac{1}{2}


We also subtract 1 from the upper boundary to get -frac{3}{2}-1=\frac{1}{2}


Hence the range is


-2\frac{1}{2} \leq y \leq \frac{1}{2}

Also see graph

5 0
3 years ago
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