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3 years ago

What is the range of the set of data this box-and-whisker plot represents? 10 12 13 14 15 16 17 18 19 20 10 8 3 6

Mathematics

1 answer:

sesenic [268]3 years ago

8 0

Answer:

The 2 box-and-whisker plot is the correct one.

Step-by-step explanation:

The first step you need to do is write the numbers from least to greatest.

5, 7, 8, 10, 13, 14, 17, 17, 21. 5 and 21 will be the end points.

To make the box we need to find the median first. All you have to do is pick the middle number and it is 13. That just leaves box-and-whisker plots 2 and 3.

To find the first and third quartile, you need to take the other numbers from 13 to the left (10+8+7+5) and add them up then divide by 4 to get 7.5 and that is the first quartile.

To find the third quartile, you will go from 13 to the right (14+17+17+21) and divide by 4 to get 17.25.

This equals the 2nd box-and-whisker plot.

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3 years ago

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Gertrude takes out a $5,500 subsidized stafford loan, which must be paid back in ten years. gertrude will graduate four years af

Leno4ka [110]

The total amount of interest will Gertrude pay by the time the subsidized Stafford loan is repaid is $2094.80.

<h3>What is compound interest?</h3>

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

$A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\$

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate<em> r </em>of in the time period of <em>t.</em>

Gertrude will graduate four years after taking out the loan. if the loan has an interest rate of 6.8%, compounded monthly, and Gertrude makes monthly payments.

Put the values in the above formula as,

$5500=P_{mt}\times\left(1-\dfrac{6.8}{12\times100}\right)^{-12\times10}\\P_{mt}=63.29$

In the 10 years, the refund she gets,

$A_r=63.29\times12\times100\\A_r=7594.8$

Interest paid by her is,

$I=7594.8-5500\\I=2094.8$

Thus, the total amount of interest will Gertrude pay by the time the subsidized Stafford loan is repaid is $2094.80.

Learn more about the compound interest here;

brainly.com/question/24274034

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2 years ago

Viola has a part time job in which she is paid an hourly basis for every hour up through 40 hours. For each hour after 40 hours,

blondinia [14]

Answer:

15.5

Step-by-step explanation:

for every hour we can say that the wage is x

hence we can create an equation:

40x + 160%*x = 644.80

now solve for x

40x + 1.6x = 644.8

41.6x = 644.8

x = 15.5

hourly wage is 15.5

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3 years ago

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What is the value of x which proves that the runways are parallel? What is the measure of the larger angle?

makkiz [27]

Answer:

118°

Step-by-step explanation:

When two parallel lines are cut by a tranversal, then the exterior angles are supplimentary and the corresponding angles are congruent.

Therefore the angle above (15x - 17)° is also (5x + 17)° and the angle below (5x + 17)° is also (15x - 17)°.

Angles on a straight line adds up to 180°. So to know the measure of the larger angle we must both equations and equal it to 180° to find x in order to know the larger angle.

(5x + 17) + (15x - 17) = 180

5x + 15x + 17 - 17 = 180

20x = 180

20x/20 = 180/20

x = 9°

Nkw let's substitute x = 9 into the equations

5x + 17 =

5(9) + 17 =

= 62°

15x - 17 =

15(9) - 17 =

= 118°

Both equations should add up to be 180°.

Therefore the measure of the largest angle is 118°.

6 0

3 years ago

What is the range of the set of data this box-and-whisker plot represents? 10 12 13 14 15 16 17 18 19 20 10 8 3 6​

What is the range of the set of data this box-and-whisker plot represents? 10 12 13 14 15 16 17 18 19 20 10 8 3 6