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Delicious77 [7]
3 years ago
13

Will mark brainliest and 15 points

Mathematics
1 answer:
insens350 [35]3 years ago
6 0

Answer:

Step-by-step explanation:

x - 3y  -15

x = -3

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HELP HELP HELPH EPLHEPLHEPLHEPLHEPLEP
Soloha48 [4]

<u>Answers:</u>

1a) y=-10/3x+90

1b) 20

1c) -18

2a) 2.8

2b) How much the heights of five basketball players vary from the average height.

----------------------------------------------------------------------------------------------------------------

<u>Explanations:</u>

<u>1a)</u> The trend line is linear, so we just need to find the slope and y-intercept to find an equation for it. Our y-intercept is (0,90), or 90, and our slope is -10/3. <em>Our equation is now y=-10/3x+90.</em>

<u>1b) </u>To find when x=21, we plug 21 into our equation where the x is. Now we do the math.

y=-10/3(21)+90 (plug in)

y=-70+90 (simplify by multiplying -10/3 by 21)

y=20 (simplify by adding -70 to 90)

<em>Therefore, we can predict that when x is 21, y is 20.</em>

<u>1c) </u>To find when y=150, we plug 150 into our equation where the y is. Now we do some more math.

150=-10/3x+90 (plug in)

60=-10/3x (subtract 90 from both sides

-18=x (divide both sides by -10/3)

<em>Therefore, we can predict that when y is 150, x is -18.</em>

----------------------------------------------------------------------------------------------------------------

<u>2a) </u>The mean absolute deviation (or MAD for short) of a data set is calculated as such:

<u>Step 1) </u>Find the mean (average) by finding the sum of the data values, then dividing the sum of the data values by the number of data values. In this case, we have the numbers 65, 58, 64, 61, and 67, which add up to 315. The data set has 5 numbers, so we divide our sum of 315 by 5 to get 63. <em>Therefore, our mean is 63.</em>

<u>Step 2) </u>Find the absolute value of the distance between each data value and the mean. In this case, we find out how far away each data value is from 63, our mean.  To do this, we subtract 63 from each number.

65-63=2

58-63=-5

64-63=1

61-63=-2

67-63=4

Some of these values are negative, but we're using absolute value so they all become positive. <em>We now have a new set of values: 2, 5, 1, 2, and 4.</em>

<u>Step 3)</u> Finally, we calculate the mean of our new set of values. In this case, we will add up 2, 5, 1, 2, and 4 to get 14 and divide by 5 to get our MAD of 2.8. <em>Therefore, the MAD (and the answer to problem 2a) is 2.8.</em>

<u>2b)</u> Now we just find out what the MAD means in this context. The MAD always is a measure of variance in a data set. In this context, it's describing how much the heights (in inches) of five people on a basketball team vary from the average height.

Hope this helps!

3 0
3 years ago
The coordinates A(2, 1), B(7, 1), C(2, 4) form what type of polygon?
Elena L [17]
It makes and obtuse right triangle.
5 0
3 years ago
Read 2 more answers
17. Each person on a Ferris wheel pays $6.50
patriot [66]

Answer:

$468

Step-by-step explanation:

6.5x72 passengers= $468

6 0
3 years ago
Find the area of the trapezoid 14.5 8 19.5​
Svetlanka [38]

Step-by-step explanation:

Which one is the height?¿

The formula is

b1+b2 divided by 2 times the height

That's the best I can do for you atm atleast.

8 0
3 years ago
A book sold 31,100 copies in its first month of release. Suppose this represents 7.8% of the number of copies sold to date. How
zvonat [6]
For this problem you can create a proportion.
Since 31,100 copies is 7.8% of the total copies spoke up to date you can make this proportion:
31,100. 7.8%
——— =. ———
x. 100%
Now you cross multiply and you will get
7.8x=3,110,000
After this you solve for x by isolating the variable.
7.8x/7.8. 3,110,000/7.8
x=398,717.949
Since the question asks you to round to the nearest whole number which is 7 then the final answer would be 398,718
Answer: There has been 398,718 copies sold to date.
5 0
3 years ago
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