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3 years ago

What is the mean absolute deviation of 25,24,25,23,20,18

1 answer:

4 0

The mean absolute deviation is the mean of the absolute values of the differences of the numbers from their mean. It is convenient to let a spreadsheet or calculator do the tedious math. Here it is by hand:

Total of given values: 135

Mean of given values: 135/6 = 22.5

Deviations of given values from the mean:

... {2.5, 1.5, 2.5, 0.5, -2.5, -4.5}

Absolute values of deviations from the mean:

... {2.5, 1.5, 2.5, 0.5, 2.5, 4.5}

Total of those: 14

Mean absolute deviation: 14/6 = 2 1/3.

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Aaron borrows $150 from his friend Austin. He has to pay the money back in 4 monthly installments. Each month he wants to pay ha

Y_Kistochka [10]

Austin should pay $75 the first month, and 37.50 for the remaining of the 2 months

5 0

2 years ago

find An Equation Of The Line Containg(3,-4) and Having slope -2.If This Line Contain The Points (a,8) and (5,b) find a and b

ss7ja [257]

Answer:

equation: y=-2x+2

a=-3

b=-8

Step-by-step explanation:

we need to find the equation of the line containing the point (3,-4) and has the slope (m) of -2

slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

we can plug what we know into the equation:

y=-2x+b

we need to find b though

since the point will pass through the point (3,-4) we can subsitute it into the equation to find b

-4=-2(3)+b

-4=-6+b

2=b

the y intercept is 2

so the equation is y=-2x+2

the line also contains the points (a,8) and (5,b)

first, let's find a

a is the x value of the point

we know the value of y (8)

substitute y as 8 and solve for x

8=-2x+2

subtract

6=-2x

-3=x=a

so a is -3

now find b

b is the y value of the point

we know the x value (5)

substitute x as 5 and solve for y

y=-2(5)+2

y=-10+2

y=-8=b

so b is -8

hope this helps!

4 0

3 years ago

Hey! whats 12.5% of 240km?

JulijaS [17]

Answer:

= 30 km

Step-by-step explanation:

12.5 * 240/100

<em><u>= 30 km</u></em>

6 0

2 years ago

Read 2 more answers

Please help FAST I need the answer along with you explaining the steps so I can get it thanks! I’ll give Brainlist also!

kupik [55]

Answer:

The equation of required line is: $\mathbf{5x-8y+34=0}$

Step-by-step explanation:

We need to write equation in the form Ax+By+C=0 of the line parallel to $5x-8y+12=0$ and through the point (-2,3)

First we need to find slope and y-intercept of the required line.

Using equation of line $5x-8y+12=0$ to find slope.

Since the given line and required lines are parallel there slope is same.

Writing equation in slope intercept form: $y=mx+b$ where m is slope.

$5x-8y+12=0 \\-8y=-5x-12\\\frac{-8y}{-8y}=\frac{-5x}{-8}-\frac{12}{-8}\\y=\frac{5}{8}x+\frac{3}{4}$

So, the slope m = 5/8

The slope of required line is $m=\frac{5}{8}$

Now finding y-intercept using slope $m=\frac{5}{8}$ and point(-2,3)

$y=mx+b\\3=\frac{5}{8}(-2)+b\\3=\frac{-5}{4}+b\\b=3+\frac{5}{4}\\b=\frac{3*4+5}{4}\\b=\frac{12+5}{4}\\b=\frac{17}{4}$

So, the equation of required line having slope $m=\frac{5}{8}$ and y-intercept $b=\frac{17}{4}$

$y=mx+b\\y=\frac{5}{8}x+\frac{17}{4}\\y=\frac{5x+17*2}{8}\\y= \frac{5x+34}{8} \\8y=5x+34\\5x-8y+34=0$

So, The equation of required line is: $\mathbf{5x-8y+34=0}$

3 0

2 years ago

How long does a car traveling at 70 mph take to travel 88 miles, in hours

dybincka [34]

So,

Obviously, the car will travel 70 miles in one hour. So after one hour, the car will have traveled 70 miles. That leaves 18 miles.

The time it will take for the car to go another 18 miles will be 18 divided by 70.
$\frac{18}{70}$

Simplify.
$\frac{2*3*3}{2*5*7}$
$\frac{3*3}{5*7}$
$\frac{9}{35}$

Divide.
≈ 0.25714

So a car traveling at 70 mph will take approximately 1.25714 hours or 1.26 hours to travel 88 miles.

7 0

3 years ago