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andreev551 [17]
3 years ago
10

In a sample of n = 6 scores, the smallest score is X = 3, the largest score is X = 10, and the mean is M = 6. If the largest sco

re is changed from X = 10 to X = 22, then what is the value of the new mean?
Mathematics
1 answer:
Murrr4er [49]3 years ago
5 0

Answer:

8

Step-by-step explanation:

Given that in a sample of n = 6 scores, the smallest score is X = 3, the largest score is X = 10

Mean = 6

Since mean = 6 we get sum of all the 6 scores = 6(6) = 36

Now  II part says 10 is changed to 20

i.e. original sum = 36

Changed value  = 10

Adjusted value =26

Add: new value  =22

New sum            =48

So we have sum = 48

New mean= \frac{48}{6} =8

(This can also be done using the formula

old mean + positive change in one score/6)

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A city has a population of 250,000 people. Suppose that each year the population grows by 7.5%. What will the population be afte
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So, if it grows by 6.75%, each year the population is 106.75% of the year before.

After 1 year, 370,000(1.0675). After two years, 370,000(1.0675)(1.0675).

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4 0
3 years ago
Figure ABCD is a parallelogram. Points X and Y are placed so that BX ≅ DY and CD ⊥ XY.
alisha [4.7K]

A quadrilateral in which opposite sides are parallel is called a parallelogram. The correct option is D.

<h3>What is a parallelogram?</h3>

A quadrilateral in which opposite sides are parallel is called a parallelogram. Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

For a parallelogram, the opposite sides are equal and parallel to each other. We can write,

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Since BX ≅ DY, therefore, we can write,

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Since all the sides are equal also the angle are equal, therefore, it can be written,

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8 0
2 years ago
A box contains 2 plain pencils and 2 pens. A second box contains 3 color pencils and 5 crayons. One item from each box is chosen
Lapatulllka [165]

Answer:

50% pen first box and 62.5% crayon from second box

Step-by-step explanation:

The first box contains 4 items, 2 of each. This means there are \frac{2}{4} pens. This gives you a \frac{2}{4} chance of picking out a pen. This can be written as 50%.

The second box contains 8 items, 3 color pencils and 5 crayons. This means \frac{5}{8} of the contents are crayons, meaning you have a \frac{5}{8} or 62.5% chance of picking a crayon.

*For working out the percentages, you should convert the fraction to a decimal and then multiply that by 100.

**This content involves fractions, decimals and percentages, as well as basic probability, which you may want to revise. I'm always happy to help!

8 0
2 years ago
Drag the vertices of the triangle below to draw a right triangle with side lengths 5, 12, and 13.
Zinaida [17]

I hope that helps, coz l've done what i know

7 0
3 years ago
Three times the square of a nonzero number is equal to twelve times the number.
dedylja [7]
Well if you write the statement as an equation then that will get you

3*x^2 = 12x

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6 0
3 years ago
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