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3 years ago

14

Zack has a old car. He wants to sell it for 60% off the current price. The market price is $500. How much money would he receive

in exchange for the car if he were able to sell it at that rate?

1 answer:

Snowcat [4.5K]3 years ago

6 0

Zack would receive $200. You have to make 60% as a decimal= 0.60 then multiply $500*0.60= $300 then you subtract $500-$300=$200
(Hope this works!!)

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A study of the effect of smoking on sleep patterns is conducted. The measure observed is the time, in minutes, that it takes to

nordsb [41]

Answer:

The group that has greater value of relative dispersion is the smokers group, as the coefficient of variationof their data is bigger than the coefficient of variation of the non-smokers group data.

CV smokers: 0.387

CV non-smokers: 0.234

Step-by-step explanation:

We will calculate the relative dispersion of each data set with its coefficient of variation (ratio of the standard deviation to the arithmetic mean).

Then, first we calculate the mean and standard deviation for the smokers data:

Mean: 43.7

Standard deviation: 286.5

$M_s=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M_s=\dfrac{1}{12}(69.3+56+22.1+47.6+53.2+. . .+13.8)\\\\\\M_s=\dfrac{524.4}{12}\\\\\\M_s=43.7\\\\\\s_s=\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M_s)^2\\\\\\s_s=\dfrac{1}{11}((69.3-43.7)^2+. . . +(13.8-43.7)^2)\\\\\\s_s=\dfrac{3152}{11}\\\\\\s_s=286.5\\\\\\$

The mean and standard deviation for the non-smokers is:

Mean: 30.3

Standard deviation: 50.9

$M_n=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M_n=\dfrac{1}{15}(28.6+25.1+26.4+34.9+28.8+. . .+13.9)\\\\\\M_n=\dfrac{453.8}{15}\\\\\\M_n=30.3\\\\\\s_n=\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M_n)^2\\\\\\s_n=\dfrac{1}{14}((28.6-30.3)^2+. . . +(13.9-30.3)^2)\\\\\\s_n=\dfrac{713.3}{14}\\\\\\s_n=50.9\\\\\\$

Now, we can calculate the coefficient of variation:

CV smokers:

$CV_s=\dfrac{s_s}{M_s}=\dfrac{16.9}{43.7}=0.387$

CV non-smokers:

$CV_n=\dfrac{s_n}{M_n}=\dfrac{7.1}{30.3}=0.234$

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4 years ago

The midpoint of segment AB is (-7, 10) and endpoint A is located at (3, -1). Find the other endpoint B. Show all work.

dusya [7]

Answer:

$B(-17,21)$

Step-by-step explanation:

The midpoint of two points is the average of the x coordinates and the average of the y coordinates.

Given

A(3, -1)

and we let the other end point B be B(x,y)

and midpoint is (-7,10)

So, the average of 3 and x is -7, and

the average of -1 and y is 10

We can solve for x first:

$\frac{3+x}{2}=-7\\3+x=2*-7\\3+x=-14\\x=-14-3\\x=-17$

and now solving for y:

$\frac{-1+y}{2}=10\\-1+y=2*10\\-1+y=20\\y=20+1\\y=21$

So, the other point B is:

$B(-17,21)$

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photoshop1234 [79]

Answer:

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Step-by-step explanation:

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What decimal is equivalent to 1.25%

matrenka [14]

The answer is 0.0125

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Philip buys a pack of markers for $1.29, a pencil for $0.84, and an eraser for $0.79. How much does he spend altogether

Tom [10]

Answer:

Not sure what you are looking for but... I believe the answer is $2.92

Step-by-step explanation:

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