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2 years ago

4 1/6 + 5 2/3Enter your answer as a mixed number in simplest form

Mathematics

1 answer:

galina1969 [7]2 years ago

3 0

Answer:

Step-by-step explanation:

First, change the mixed numbers into improper fractions:

5 2/3 = 17/3

Then, find the common denominator:

41/6 + 17/3=

LCM = 6

17/3 *2 = 34/6

41/6 + 34/6

Last, Add

25/6 or

12 1/2

Hope this helps!

mark brainliest if possible!

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Soloha48 [4]

Answers:

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.

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Explanations:

1a) 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. Our equation is now y=-10/3x+90.

1b) 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)

Therefore, we can predict that when x is 21, y is 20.

1c) 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)

Therefore, we can predict that when y is 150, x is -18.

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

Step 1) 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. Therefore, our mean is 63.

Step 2) 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. We now have a new set of values: 2, 5, 1, 2, and 4.

Step 3) 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. Therefore, the MAD (and the answer to problem 2a) is 2.8.

2b) 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

I need the answer. (will give brainliest)

MatroZZZ [7]

Answer:

Step-by-step explanation:

We can use ratios to solve

15 ft 18ft

---------- = -----------

5ft x

Using cross products

15x = 5*18

15x = 90

Divide by 15

15x/15 = 90/15

x =6

3 0

3 years ago

Read 2 more answers

A number x is more than -6 and at most 8

Nataly [62]

-6 < x (less than or equal to) 8

8 0

3 years ago

The distance from Atlanta, Georgia, to Great Falls, Montana, is 1,993 miles. What is the expanded form of the number 1,993?

vichka [17]

1000+9 x 100 + 9 x 10 + 3 x 1 or 1000 + 900+ 90 + 3

4 0

3 years ago

My father owns a company. He makes 948829.40299$ every half a second. He has had this business for 69 years, how much money has

kvasek [131]

Answer:

$4,129,275,186,259,200

Step-by-step explanation:

It's simple math, multiply the first number by 2, then that by 60, then that by 60, then multiply the hours by 24 to get one day, then multiply that by 365 to get one year, then multiply that by 69 to get the total answer
4 quadrillion, 129 trillion, 275 billion, 186 million, 259 thousand, 200 dollars

8 0

2 years ago