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3 years ago

If AD = 3x + 3 and CD = x + 9, what is the value of x?

Mathematics

2 answers:

tiny-mole [99]3 years ago

8 0

X is equal to three in this

Vikentia [17]3 years ago

6 0

The answer will be x = 3

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What is the slope and y-intercept of the liner function y = -2/3x+3?

IrinaVladis [17]

Answer: (-2/3 , 3) is the answer

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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.

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

3 years ago

A reflection of (–4, 5) over the x-axis is located in

olganol [36]

It’s gonna be in quadrant III because the rule for x-axis is -> (x,-y).

8 0

3 years ago

Read 2 more answers

In circle E shown, chords AB and CD are parallel. (a) What does this information tell you about 1  and 2  ? Why? (b) Given you

sp2606 [1]

Answer:

6835

Step-by-step explanation:

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3 years ago

Is the following relation a function? Yes or No question

Maurinko [17]

Yes because the the x value is not repeated. It can not be a function if the arrow in one of the x values is pointing to more than one y value.

Hope this helps :)
Please give brainliest

3 0

4 years ago