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4 years ago

8

David left the park traveling 16 mph. Then 3 hours later, Corey left traveling the same direction at 28 mph. How long until Core

y catches up with David?

1 answer:

QveST [7]4 years ago

8 0

Answer:

4 hours

Step-by-step explanation:

no

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What are the mean absolute deviation and population standard deviation of this data set? Round to the nearest tenth if necessary

tekilochka [14]

Answer:

For a data set of N elements:

{x₁, x₂, ..., xₙ}

The mean is:

$M = \frac{x_1 + x_2 + ... + x_n}{N}$

The mean absolute deviation is:

$MAD = \frac{|x_1 - M| + ... + |x_n - M|}{N}$

And the population standard deviation is:

$PSD = \frac{\sqrt{|x_1 - M|^2 + ... + |x_n - M|^2} }{\sqrt{N}}$

In this case, our set has 5 elements, and the set is:

{2, 4, 6, 9, 14}

The mean of this set is:

$M = \frac{2 + 4 + 6 + 9 + 14}{5} = 7$

The mean absolute deviation is:

$MAD = \frac{|2 - 7| + |4 - 7| + |6 - 7|+ |9 - 7| + |14 - 7| }{5} = 3.6$

And the population standard deviation is:

$PSD = \sqrt{\frac{|2 - 7|^2 + |4 - 7|^2 + |6 - 7|^2+ |9 - 7|^2 + |14 - 7|^2 }{5}} = 4.2$

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3 years ago

Solve each system of equation by substitution y=-x+5 x+2y=2

Likurg_2 [28]

Answer:

$x = 8$

$y = -3$

Step-by-step explanation:

Given :

$y = -x + 5$ ...................... equation 1

$x + 2y = 2$ ........................ equation 2

solving the system of linear equation by substitution method , substitute equation 1 into equation 2 , that is

$x + 2(-x+5) = 2$

$x - 2x + 10 = 2$

$-x + 10 = 2$

collect the like terms

$10 - 2 = x$

therefore :

$x = 8$

substitute $x = 8$ into equation 1 to find the value of y , that is

$y = -8 + 5$

$y = -3$

Therefore :

$x = 8$

$y = -3$

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3 years ago

Which expression represent, 3 times the sum of 7 and m.

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D would be the answer.Since you are adding the sum first hence the parentheses.

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3 years ago

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Angle D is equal to Angle B because AB and DE are parallel to each other.

AD is a straight line so the (2) 2x angles and 72 degrees need to equal 180.

Setting up the equation you have:

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Simplify:

4x + 72 = 180

Subtract 72 from each side:

4x = 108

Divide both sides by 4:

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Hey there,

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