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4 years ago

Think About the Process A student has a one-dollar bill, a five-dollar bill, and a ten-dollar bill in a

1 answer:

4 0

The formula to calculate the experimental probability is "P(event) = Number of times event occurs/total number of trials"

The expiramental probability should be the fraction "21/47"

The theoretical probability should be the fraction "1/3" because the formula for theoretical probability is the number of favorable outcomes (5 dollar bill) over the total number of possible outcomes (10-dollar bill, one dollar bill, & 5 dollar bill). therefore, there is 1 favorable outcome, and 3 possible outcomes = 1/3.

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Simplify the given expression. (4x2squared-15x-21)+3x2squared-10)

Bess [88]

Answer:

$7x^{2} - 15x -31$

Step-by-step explanation:

$(4x^{2} - 15x -21) + 3x^{2} - 10 = 4x^{2} + 3x^{2} - 15x -21 - 10 = 7x^{2} - 15x -31$

4 0

3 years ago

Bulletin board is 8 feet long and 5 feet wide. How many feet of border does it need?

Musya8 [376]

8 × 5 = 40

So the border has to be 40 feet.

Hope this helps!

Work:

length × width = answer

length = 8
width = 5
answer = 40

7 0

3 years ago

Read 2 more answers

The percent for 140% of 50

irina1246 [14]

$140\%\cdot50=\\
1.4\cdot50=\\
70$

4 0

3 years ago

Read 2 more answers

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

3 years ago

Here's a linear equation. rewrite it in slope-intercept form -2-3y+15=0

irakobra [83]

-3y-2+15=0 would be the answer

3 0

4 years ago

Read 2 more answers