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2 years ago

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A bag contains 8 red balls and 4 white balls. Two balls are drawn without replacement. (Enter your probabilities as fractions.)

(a) What is the probability that the second ball is white, given that the first ball is red

1 answer:

RoseWind [281]2 years ago

6 0

Answer:

total marbles;12

after drawing red total counts are 7 red and 4 white 11 in total

probabilities are 4/11

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Using the digits 1 to 9, at most one time each, fill in the boxes so that the points make a parallelogram. Mathematically, use p

Lera25 [3.4K]

Answer:

$\left\begin{array}{ccc}A\left( \boxed{3} , \boxed{8} \right)&B\left( \boxed{9} , \boxed{6} \right )\\\\C\left( \boxed{1} , \boxed{4} \right)&D\left( \boxed{7} , \boxed{2} \right )\end{array}\right$

Step-by-step explanation:

The coordinates are:

$\left\begin{array}{ccc}A\left( \boxed{3} , \boxed{8} \right)&B\left( \boxed{9} , \boxed{6} \right )\\\\C\left( \boxed{1} , \boxed{4} \right)&D\left( \boxed{7} , \boxed{2} \right )\end{array}\right$

The parallelogram is attached below.

To verify if these coordinates form a parallelogram, we show that:

AB=CD; and
AC=BD

Using Distance Formula

$AB = \sqrt{(6-8)^2+(9-3)^2} = \sqrt{(-2)^2+(6)^2} = \sqrt{40} $ units$

$CD = \sqrt{(2-4)^2+(7-1)^2} = \sqrt{(-2)^2+(6)^2} = \sqrt{40} $ units$

$AC = \sqrt{(8-4)^2+(3-1)^2} = \sqrt{(4)^2+(2)^2} = \sqrt{20} $ units$

$BD = \sqrt{(6-2)^2+(9-7)^2} = \sqrt{(4)^2+(2)^2} = \sqrt{20} $ units$

Since AB=CD; and AC=BD, the coordinates A, B, C, and D form the vertex of a parallelogram.

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3 years ago

Identify the two whole between which the product lies 5×7/10

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7/10
10 * 10 = 100
7 * 10 = 70
70/100
5 * .7
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2 years ago

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Karen is moving at 81.2 miles per hour while Melinda is moving at 71.2 miles per hour.

<h3>Equation for speed</h3>

Speed is the ratio of total distance travelled to total time taken. It is given by:

Speed = distance / time

Let a represent Karen speed and b represent Melinda speed, hence:

a = b + 10

a - b = 10 (1)

Also:

a = d₁ / 1

d₁ = a

b = d₂/ 1 hour

d₂ = b

Since they are 108 miles apart, using Pythagoras:

108² = d₁² + d₂²

a² + b² = 11664

(b + 10)² + b² = 11664

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Karen is moving at 81.2 miles per hour while Melinda is moving at 71.2 miles per hour.

Find out more on speed at: brainly.com/question/4931057

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1 year ago

(x-3) (x-4) polynomial

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Answer:

$x^{2} -7x +12$

Step-by-step explanation:

Using the Foil method

you multiply x times x and get $x^{2}$

Then you multiply -4 times X and get -4x

Then you multiply -3 times X and get -3x

then you add -4 and -3 together and get -7x

Lastly you multiply -4 and -3 and get 12

And there you have it

$x^{2} -7x +12$

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Step-by-step explanation:

Ted's second job offers 49,024 and it is 3819 greater than the first job

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