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3 years ago

Which measure of central tendency is least representative of the data set shown?

Mathematics

2 answers:

Svet_ta [14]3 years ago

7 0

The mean is least representative of the data shown

White raven [17]3 years ago

7 0

Answer:

Mean

Step-by-step explanation:

The given data set is:

2, 2, 3, 4, 5, 32

The measures of central tendency of the given data set are mean, median and mode. Now, it can be seen from data set that there is the presence of an outlier 32 in the given data set, which results to the skewing of the mean.

Thus, mean is the least representative of the data set given.

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How many ml of a 20% acid mixture and a 80% acid mixture should be mixed to get 120ml of a 35% acid mixture?

shutvik [7]

Answer:

Volume of Mixture A =90 ml

Volume of Mixture B =30 ml

Step-by-step explanation:

Let say, Mixture A + Mixture B = Mixture C

Volume of Mixture A is x

Volume of Mixture B is y

So, Volume of Mixture C is x+y = 120 ml

Now, Acid contain in Mixture A is 20% =0.2x

Acid contain in Mixture B is 80% =0.8y

Also, Acid contain in Mixture C is 35% =(0.35)(x+y) = 0.35×120=42

Now, we know that,

Acid contain of Mixture A + Acid contain of Mixture B=Acid contain of Mixture C

∴ 0.2x+0.8y=42

∴ 2x+8y=420

We get two linear equations

2x+8y=420 and x+y = 120

Solving above equation...

∴ x=120-y

Replacing x value in 2x+8y=420

∴ 2(120-y)+8y=420

∴ 240-2y+8y=420

∴ 6y=180

∴ y=30

Replacing y value in any equation

∴ x=120-y=120-30=90

∴ x=90

Thus,

Volume of Mixture A is x=90 ml

Volume of Mixture B is y=30 ml

3 0

3 years ago

What is the product of (x − 3) and (x + 7)?

NeX [460]

Answer:

The product of (x-3) and (x+7) is x² + 4x - 21

Step-by-step explanation:

The product of (x-3) and (x+7) is x² + 4x - 21

The product of (x - 3) and (x + 7) can be found as follows:

(x - 3)(x + 7)

open the bracket by multiplying

Therefore,

x(x) +x(7) - 3(x) - 3(7)

x² + 7x - 3x - 21

combine like terms

x² + 4x - 21

3 0

2 years ago

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Write the equation of the line that has an undefined slope and passes through the point (4,7).

valentinak56 [21]

<h3>Answer is x = 4</h3>

There is no y as part of the equation. It is a vertical line through 4 on the x axis. Every point on this line has an x coordinate of 4. Recall that all vertical lines have undefined slopes. I picked 4 because it is the x coordinate of the given point (4,7).

5 0

3 years ago

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What is the length of the line?

Ivanshal [37]

Answer:

Step-by-step explanation:

Pretend you see a right triangle here. From the lower end of the line go up 5 and you will be on the same horizontal as the upper end of the line. Go over 6 units and you close your triangle. This is a right triangle with legs 5 and 6 units long. We are looking for the hypotenuse of this triangle. Use Pythagorean's Theorem:

$5^2+6^2=??^2$

25 + 36 = ??² and

61 = ??² so

?? = √61

8 0

3 years ago

A neighborhood pool is 24 feet by 18 feet. What is the area of the pool?

valentina_108 [34]

Area is length x width

24 x 18 = 432

The area is 432 feet

hope this helps

6 0

3 years ago

Read 2 more answers