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2 years ago

20 to 25 percent change

2 answers:

7 0

A change from 20 to 25 represents a positive change (increase) of 25% Percent change = [(20 - 25) / 20] x 100 = 25 % (increase)Where: 20 is the old value and 25 is the new value. In this case we have a positive change (increase) of 25 percent because the new value is greater than the old value.

Hope this helps :)

Korvikt [17]2 years ago

4 0

Percent change=100 times change/original
change=new-origianl

change=25-20=5
original=20

percent change=100 times 5/20-500/20=25
answer is 25% change

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9) If two ropes measure 3 2/3 yards and 8/9 yard, how much longer is the first

jenyasd209 [6]

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2 years ago

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2 years ago

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2 years ago

2. In your own words, explain HOW to find the standard deviation of this data set. (20 points) 3. What does the standard deviati

Ket [755]

Answer:

$\sigma = 11.28$ --- Standard deviation

Step-by-step explanation:

Given

See attachment for graph

Solving (a): Explain how the standard deviation is calculated.

Start by calculating the mean

To do this, we divide the sum of the products of grade and number of students by the total number of students;

i.e.

$\bar x = \frac{\sum fx}{\sum f}$

So, we have:

$\bar x = \frac{50 * 1 + 57 * 2 + 60 * 4 + 65 * 3 +72 *3 + 75 * 12 + 77 * 10 + 81 * 6 + 83 * 6 + 88 * 9 + 90 * 12 + 92 * 12 +95 * 2 + 99 * 4 + 100 * 5}{1 + 2 + 4 + 3 +3 + 12 + 10 + 6 + 6 + 9 + 12 + 12 +2 + 4 + 5}$

$\bar x = \frac{7531}{91}$

$\bar x = 82.76$

Next, calculate the variance using the following formula:

$\sigma^2 = \frac{\sum f(x - \bar x)^2}{\sum f}$

i.e subtract the mean from each dataset; take the squares; add up the squares; then divide the sum by the number of dataset

So, we have:

$\sigma^2 = \frac{1 * (50 - 82.76)^2 +...................+ 5 * (100 - 82.76)^2}{91}$

$\sigma^2 = \frac{11580.6816}{91}$

$\sigma^2 = 127.26$

Lastly, take the square root of the variance to get the standard deviation

$\sigma = \sqrt{\sigma^2}$

$\sigma = \sqrt{127.26}$

$\sigma = 11.28$ --- approximated

Hence, the standard deviation is approximately 11.28

Considering the calculated mean (i.e. 82.76), the standard deviation (i.e. 11.28) is small and this means that the grade of the students are close to the average grade.

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2 years ago

Please help me with this!

Katena32 [7]

Answer:

3. (x-6)

Step-by-step explanation:

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Factors=

-6 and 1

x^2-5x-6 factored is (x-6)(x+1)

so the answer would be (3) (x-6)

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2 years ago