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3 years ago

Write an equation for the line that goes through (-2,6) and is parallel to the line y=1/2x+9

Mathematics

1 answer:

katrin [286]3 years ago

7 0

Answer:

y = 1/2x + 7

Step-by-step explanation:

Parallel lines have the same slope.

Therefore the new equation will have a slope(m) = 1/2

Substitute m = 1/2 and point (-2, 6) into y = mx + b to solve for "b"

y = mx + b

6 = 1/2(-2) + b

6 = -1 + b

7 = b

The new equation: y = mx + b

y = 1/2x + 7

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Is 7766 a even number ?

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3 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

A farmer packed 3 pints of strawberries every 4 minutes. In the afternoon she packed 2 pints of strawberries every 3 minutes. Wh

MakcuM [25]

Answer:

5 (strawberries / hours)

Step-by-step explanation:

calculation fro morning

strawberries / minutes x minutes / hours = strawberries / hours

so after adding the value in above equation

3/4* 60/1 = 45 strawberries / hours

calculation in the afternoon

strawberries / minutes x minutes / hours = strawberries / hours

2/3 x 60/1 = 40 strawberries / hours

so now by calculating difference between morning and afternoon packing rates, you can easily calculate

45-40 = 5 (strawberries / hours)

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3 years ago

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