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3 years ago

Chris plotted 3 points on the graph of the equation y=2x. Which coordinates name the points on Chris’s graph?

Mathematics

1 answer:

Makovka662 [10]3 years ago

8 0

Answer:

(0,0) (2,4) (-2,-4)

Step-by-step explanation:

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762-332 using rounding or compatible numbers to estimate

Nina [5.8K]

Maybe 430 or 400 could be the answer to that problem

8 0

3 years ago

Consider a sample with data values of 27, 24, 21, 16, 30, 33, 28, and 24. Compute the 20th, 25th, 65th, and 75th percentiles. 20

densk [106]

Answer:

$P_{20} = 20$ --- 20th percentile

$P_{25} = 21.75$ --- 25th percentile

$P_{65} = 27.85$ --- 65th percentile

$P_{75} = 29.5$ --- 75th percentile

Step-by-step explanation:

Given

27, 24, 21, 16, 30, 33, 28, and 24.

N = 8

First, arrange the data in ascending order:

Arranged data: 16, 21, 24, 24, 27, 28, 30, 33

Solving (a): The 20th percentile

This is calculated as:

$P_{20} = 20 * \frac{N +1}{100}$

$P_{20} = 20 * \frac{8 +1}{100}$

$P_{20} = 20 * \frac{9}{100}$

$P_{20} = \frac{20 * 9}{100}$

$P_{20} = \frac{180}{100}$

$P_{20} = 1.8th\ item$

This is then calculated as:

$P_{20} = 1st\ Item +0.8(2nd\ Item - 1st\ Item)$

$P_{20} = 16 + 0.8*(21 - 16)$

$P_{20} = 16 + 0.8*5$

$P_{20} = 16 + 4$

$P_{20} = 20$

Solving (b): The 25th percentile

This is calculated as:

$P_{25} = 25 * \frac{N +1}{100}$

$P_{25} = 25 * \frac{8 +1}{100}$

$P_{25} = 25 * \frac{9}{100}$

$P_{25} = \frac{25 * 9}{100}$

$P_{25} = \frac{225}{100}$

$P_{25} = 2.25\ th$

This is then calculated as:

$P_{25} = 2nd\ item + 0.25(3rd\ item-2nd\ item)$

$P_{25} = 21 + 0.25(24-21)$

$P_{25} = 21 + 0.25(3)$

$P_{25} = 21 + 0.75$

$P_{25} = 21.75$

Solving (c): The 65th percentile

This is calculated as:

$P_{65} = 65 * \frac{N +1}{100}$

$P_{65} = 65 * \frac{8 +1}{100}$

$P_{65} = 65 * \frac{9}{100}$

$P_{65} = \frac{65 * 9}{100}$

$P_{65} = \frac{585}{100}$

$P_{65} = 5.85\th$

This is then calculated as:

$P_{65} = 5th + 0.85(6th - 5th)$

$P_{65} = 27 + 0.85(28 - 27)$

$P_{65} = 27 + 0.85(1)$

$P_{65} = 27 + 0.85$

$P_{65} = 27.85$

Solving (d): The 75th percentile

This is calculated as:

$P_{75} = 75 * \frac{N +1}{100}$

$P_{75} = 75 * \frac{8 +1}{100}$

$P_{75} = 75 * \frac{9}{100}$

$P_{75} = \frac{75 * 9}{100}$

$P_{75} = \frac{675}{100}$

$P_{75} = 6.75th$

This is then calculated as:

$P_{75} = 6th + 0.75(7th - 6th)$

$P_{75} = 28 + 0.75(30- 28)$

$P_{75} = 28 + 0.75(2)$

$P_{75} = 28 + 1.5$

$P_{75} = 29.5$

7 0

3 years ago

Two number cubes, each with faces numbered 1 to 6, will be tossed at the same time. What is the probability of tossing a sum of

Katen [24]

The probability of tossing a sum of 7:
6/36

the probability of tossing a sum greater than 7 :

not 100% sure
but I think it is 16/36

the probability of tossing a sum less than 13

36/36

good luck

7 0

3 years ago

Round 13,046 to the nearest thousand.

Margaret [11]

Answer:

13,000

Step-by-step explanation:

When rounding, first:

Find the place value that you are looking for, in this case, being the thousands place value. It is a 3:

1<u>3</u>,046

When you round, you will look at the place value directly next to the one you are trying to find (which is the thousands place value). In this case, it will be the hundreds place value, which has the value of 0.

When the value of the number is 5 or greater, you round up.

When the value of the number is 4 or less, you round down.

In this case, it is 0, which is less than 4, so you round down.

13,046 to the nearest thousand place value is 13,000.

8 0

2 years ago

Read 2 more answers

Two ships have a harbor entrance at the same time. The first ship is traveling at a constant 16 mph, while the second is traveli

stepan [7]

So hmm check the picture below

both ships leave at the same time, one is going 16mph, the other 20mph, 2hrs later on the road

at 16mph well, 2hrs is just 16+16, or 32 miles away
20mph for 2hrs, is 20+20, or 40 miles away

using the law of cosines $\bf x = \sqrt{{{ 32}}^2+{{ 40}}^2-2(32)(40)cos(169^o)}$

again, recall, the angle is in degrees, so, when taking the cosine, make sure your calculator is in Degree mode

5 0

3 years ago