What is the MAD of the data set?

a washer and dryer cost $657 combined. The washer costs $43 less than the dryer. What's the cost of the dryer?

vredina [299]

Answer:

The answer is $614

5 0

3 years ago

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An urn contains nine red and one blue balls. A second urn contains one red and five blue balls. One ball is removed from each ur

il63 [147K]

Answer:

0.362

Step-by-step explanation:

When drawing randomly from the 1st and 2nd urn, 4 case scenarios may happen:

- Red ball is drawn from the 1st urn with a probability of 9/10, red ball is drawn from the 2st urn with a probability of 1/6. The probability of this case to happen is (9/10)*(1/6) = 9/60 = 3/20 or 0.15. The probability that a ball drawn randomly from the third urn is blue given this scenario is (1 blue + 5 blue)/(8 red + 1 blue + 5 blue) = 6/14 = 3/7.

- Red ball is drawn from the 1st urn with a probability of 9/10, blue ball is drawn from the 2nd urn with a probability of 5/6. The probability of this event to happen is (9/10)*(5/6) = 45/60 = 3/4 or 0.75. The probability that a ball drawn randomly from the third urn is blue given this scenario is (1 blue + 4 blue)/(8 red + 1 blue + 1 red + 4 blue) = 5/14

- Blue ball is drawn from the 1st urn with a probability of 1/10, blue ball is drawn from the 2nd urn with a probability of 5/6. The probability of this event to happen is (1/10)*(5/6) = 5/60 = 1/12. The probability that a ball drawn randomly from the third urn is blue given this scenario is (4 blue)/(9 red + 1 red + 4 blue) = 4/14 = 2/7

- Blue ball is drawn from the 1st urn with a probability of 1/10, red ball is drawn from the 2st urn with a probability of 1/6. The probability of this event to happen is (1/10)*(1/6) = 1/60. The probability that a ball drawn randomly from the third urn is blue given this scenario is (5 blue)/(9 red + 5 blue) = 5/14.

Overall, the total probability that a ball drawn randomly from the third urn is blue is the sum of product of each scenario to happen with their respective given probability

P = 0.15(3/7) + 0.75(5/14) + (1/12)*(2/7) + (1/60)*(5/14) = 0.362

8 0

3 years ago

Which digit is in the thousandths place?<br><br> 1,356.209

myrzilka [38]

Answer: 9

Step-by-step explanation: The thousandths place is always three spots away from the right side of the decimal place. Whenever the question asks for the thousandTHs place then it is a decimal the question is looking for. If it ask for the thousands place (with no th) then the question is looking for an actual number, not a decimal. Hope this helped!

7 0

3 years ago

What is the perimeter in square units of the rectangle shown on the coordinate grid?

Rashid [163]

In order to find the Perimeter of the Rectangle, First we need to find the Length and Width of the Rectangle.

Distance between two points (x₁ , y₁) and (x₂ , y₂) is given by :

$\bigstar\;\; \mathsf{Distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}}$

There are two lengths in a rectangle. Let us find any one length of the rectangle.

I'm considering the length with co-ordinates (-8 , 2) and (-2 , 10)

Here : x₁ = -8 and x₂ = -2 and y₁ = 2 and y₂ = 10

Substituting the values in the distance formula, We get :

$\mathsf{\implies Length = \sqrt{[-2 - (-8)]^2 + [10 - 2]^2}}$

$\mathsf{\implies Length = \sqrt{[-2 + 8]^2 + [8]^2}}$

$\mathsf{\implies Length = \sqrt{[6]^2 + [8]^2}}$

$\mathsf{\implies Length = \sqrt{36 + 64}}$

$\mathsf{\implies Length = \sqrt{100}}$

$\mathsf{\implies Length = 10}$

There are two widths in a rectangle. Let us find any one width of the rectangle.

I'm considering the width with co-ordinates (-2 , 10) and (2 , 7)

Here : x₁ = -2 and x₂ = 2 and y₁ = 10 and y₂ = 7

Substituting the values in the distance formula, We get :

$\mathsf{\implies Width = \sqrt{[2 - (-2)]^2 + [7 - 10]^2}}$

$\mathsf{\implies Width = \sqrt{[2 + 2]^2 + [-3]^2}}$

$\mathsf{\implies Width = \sqrt{[4]^2 + [-3]^2}}$

$\mathsf{\implies Width = \sqrt{16 + 9}}$

$\mathsf{\implies Width = \sqrt{25}}$

$\mathsf{\implies Width = 5}$

Perimeter of a Rectangle is given by : 2[Length + Width]

$:\implies$ Perimeter of the given rectangle = 2[10 + 5]

$:\implies$ Perimeter of the given rectangle = 2[15]

$:\implies$ Perimeter of the given rectangle = 30

<u>Answer</u> : Perimeter of the given rectangle is 30 square units

4 0

3 years ago

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4/r=5/7solve for r. Help pls

antiseptic1488 [7]

Hello!

You first cross multiply

4 * 7 = 28

5 * r = 5 * r

r * 5 = 28

Divide both sides by 5

r = 28/5 = 5.6

The answer is 28/5 or 5.6

Hope this helps!

4 0

3 years ago

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