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2 years ago

9

The table and the graph show information about students enrolled in spanish and french classes at a high school. use the graph t

o determine after how many years there will be equal enrollment in spanish and french classes

1 answer:

Archy [21]2 years ago

5 0

Answer:

after 6 years

Step-by-step explanation:

thats when the lines intersect, (6,300)

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prohojiy [21]

The answer should be y=x-9 /3

I'm sorry if I'm wrong

Step-by-step explanation:

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2 years ago

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A rectangle has a width of 10cm. The rectangle length is 4 times its width

Nana76 [90]

Answer:

P = 100 centimeters (assuming you are asking for the perimeter)

Step-by-step explanation:

P = 2 (L + W) OR P = 2L + 2W where P equals the perimeter, L equals the length, and W equals the width.

Since the rectangle's length is 4 times its width and given we know the width is 10 centimeters, then the length is 40 centimeters. Now we can substitute these values in our formula, okay?

P = 2 (L + W)

P = 2 (40 + 10)

P = 80 + 20

P = 100 centimeters

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3 years ago

Lakeisha has 3 5/8 yards of fabric. She wants to make a dress that requires 2 1/2 yards of fabric. How much fabric will she have

mezya [45]

1/2 = 4/8

3 5/8 - 2 4/8 = 1 1/8 yards left over

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3 years ago

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If a dice is Rolled find the probibllity

goblinko [34]

Comeonshakeyourbodydothatcongaknowyoucantcontrolyourselfanylonger

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3 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.

<u>Start by calculating the mean</u>

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

<em>Hence, the standard deviation is approximately 11.28</em>

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