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zalisa [80]
3 years ago
7

Evaluate the expression for the given value of the Variable

Mathematics
1 answer:
jeka943 years ago
6 0

Answer:

23

Step-by-step explanation:

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What is the median of the data set? <br> {10, 15, 14, 14, 10, 10, 8, 18, 11, 12, 17, 16}
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The median of a data set is the 'middle number'. You can find the median by listing the given numbers from least to greatest (left to right) and finding the middle number.

8, 10, 10, 10, 11, 12, 14, 14, 15, 16, 17, 18

Cross one out on each side before getting to your last number that should be in the middle. 

The middle numbers are: 12 and 14. If it was only one number, we could already have the answer, but since it is two numbers in the middle, we need to add them up and divide by 2. 

12 + 14 = 26
26 ÷ 2 = 13

So, the median of the data set is: 13.
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Carol has 88cm of string and cuts it in the ratio 5 : 6. How much longer is the
CaHeK987 [17]

Given:

Carol has 88cm of string and cuts it in the ratio 5 : 6.

To find:

How much longer is the longest piece compared to the shortest piece.

Solution:

Let the lengths of two pieces of string are 5x and 6x. Then,

5x+6x=88

11x=88

x=\dfrac{88}{11}

x=8

Now, the lengths of pieces are:

5x=5(8)

5x=40

And,

6x=6(8)

6x=48

The difference between the longer piece and shorter piece is:

48-40=8

Therefore, the longer piece is 8 m longer than the shorter piece.

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