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2 years ago

Midpoint Between Two Given Points

Mathematics

1 answer:

kondaur [170]2 years ago

4 0

Answer:

(1, -7)

Step-by-step explanation:

the difference between -4 & 6 is 10 so you add 5 (half) to -4 or subtract from 6, this gives you 1

you do the same for -9 and -5, the midpoint for those being -7, I hope this helps

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A total of 50 raffle tickets are sold for a contest to win a car. If you purchase one ticket, what are your odds against winning

Darya [45]

Step-by-step explanation:

$odds \: against \: winning = \frac{1}{50} \\ \\$

3 0

2 years ago

the performance score of 10 adults is recorded, and the results are 83 87 90 92 93 100 104 111 115 121 find the standard deviati

luda_lava [24]

Answer:

The standard deviation of the data set is $\sigma = 12.7906$ .

Step-by-step explanation:

The Standard Deviation is a measure of how spread out numbers are. Its symbol is σ (the greek letter sigma)

To find the standard deviation of the following data set

$\begin{array}{cccccccc}83&87&90&92&93&100&104&111\\115&121&&&&&&\end{array}$

we use the following formula

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} }$

Step 1: Find the mean $\left( \overline{X} \right)$ .

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

$Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}$

$Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}=\frac{83+87+90+92+93+100+104+111+115+121}{10} \\\\Mean = \frac{996}{10} =\frac{498}{5}=99.6$

Step 2: Create the below table.

Step 3: Find the sum of numbers in the last column to get.

$\sum{\left(x_i - \overline{X}\right)^2} = 1472.4$

Step 4: Calculate σ using the above formula.

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} } = \sqrt{ \frac{ 1472.4 }{ 10 - 1} } \approx 12.7906$

3 0

3 years ago

9(42) - 9(4) = 9(30) + 9 (___)

OverLord2011 [107]

Answer:

Step-by-step explanation:

378-36-270=9x

72=9x

72÷9=9x÷9

8=x

X=8

5 0

2 years ago

In a basketball game 15 of 20 foul shots that Michelle attempted were successful. What percent of her shots were not successful?

mestny [16]

Work 1:
Successful Percent:
15 divided by 20 equals .75
.75 times 100 is equal to 75
75%
Not successful Percent:
100% minus 75% equals 25%
25%
Work 2:
20 minus 15 equals 5
5 divided by 20 is equal to .25
.25 times 100 is equal to 25
25%

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2 years ago

What is the surface area of the prism?

IRINA_888 [86]

Its b hope this helps

3 0

2 years ago

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