All categories

1 year ago

What is the rate of change for 1

Mathematics

1 answer:

Alla [95]1 year ago

5 0

Answer:

Option D, $24$

Step-by-step explanation:

Step 1: Determine the rate of change or slope

$m = \frac{y_2-y_1}{x_2-x_1}$

$m=\frac{32-8}{2-1}$

$m=\frac{24}{1}$

$m=24$

Answer: Option D, $24$

You might be interested in

What is the pattern of 99,999

Mashcka [7]

There all kinds so it would keep going on with nines

8 0

3 years ago

A book of stamps costs $9.80 $ 9 . 80 . The expression 9.8 9 . 8 n represents the price of one stamp. What does the variable n r

andreev551 [17]

Answer: n represents the amount a stamp cost

Step-by-step explanation:

7 0

3 years ago

Which decimal is equivalent to 3 1/8

levacccp [35]

Answer:

3.125

Step-by-step explanation: np

4 0

3 years ago

Read 2 more answers

Finding volume of a rectangular prism

torisob [31]

Answer:

uhh.... you are missing some part of your question

Step-by-step explanation:

6 0

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.

8 0

2 years ago