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Flura [38]
3 years ago
8

A box contains one yellow, two red, and three green balls. Two balls are randomly chosen without replacement. Define the followi

ng events: A:{ One of the balls is yellow } B:{ At least one ball is red } C:{ Both balls are green } D:{ Both balls are of the same col
Mathematics
1 answer:
Vinil7 [7]3 years ago
7 0

Answer:

Step-by-step explanation:

Given that a  box contains one yellow, two red, and three green balls.

Two balls are randomly chosen without replacement.

A) one ball is yellow:

This means one is yellow and other can be any other colour

i.e. drawing one yellow and one from 5 remaining.

This can be as (y,r) (y,g) (r,y) or (g,y)

where y for yellow, r for red and g for green.

B) { At least one ball is red }

This means the two balls should not be different from red.

The favorable outcomes are  two red, (one red, one yellow) (one green, one red). But should not be (green,yellow)

C) :{ Both balls are green }

Here the balls drawn should be only green, green and not any other combination.

D) { Both balls are of the same col

Since yellow is one, there cannot be two yellows

Hence only possibilities are (red, red) or (green, green)

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What is <br> the equation of the line that passes through the points (-6,6) and (-1,-9)
IgorLugansk [536]

Answer:

The answer to the question provided is y = -3x - 12.

Step-by-step explanation:

❃Incase you forgot what the linear equation formula is ☟

y = mx + b

❃Incase you also forgot, what the slope formula is ☟

m = \frac{y_2 - y_1 }{x_2 - x_1}

➊ First: We are going to be solving for the slope.

m = \frac{  - 9 - 6}{ - 1 - ( - 6)} = \frac{ - 15}{ \: \: \: 5} = - 3

➋Second: We find the y-intercept.

y = mx + b \\ 6 = - 3( - 6) + b \\ 6 = 18 + b \\ \frac{  - 18 =  - 18 \: \: \: \: \:  \:  \:  \:  \:  \:  \:  \: }{ - 12 = b}

➌Third: Plug in.

y =  - 3x - 12

6 0
2 years ago
How much more area does a 40 mile radius cover than a 4 mile radius
malfutka [58]
40 mile radius covers 10 times more than 4 mile radius
5 0
3 years ago
Any idea how to do this problem? Algebra 2.
adelina 88 [10]

Answer:

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Step-by-step explanation:

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5 0
2 years ago
Is 4y+4 equivalent to 2y+2
mash [69]

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no

Step-by-step explanation:

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6 0
2 years ago
Kendra has $3.15 in dimes and nickels. If she has 4 times as many dimes as nickels, how many of each coin does she have?
svetoff [14.1K]
  • It is important to note that:

A nickel = $0.05

A dime = $0.10

We would be representing,

The number of nickels =  n

The number of dimes = d

  • Kendra has $3.15 in dimes and nickels. Writing this statement as an algebraic expression:

0.05n + 0.10d = 3.15...............Equation 1

  • She has 4 times as many dimes as nickels. The algebraic expression for this statement :

4n = d ........................................ Equation 2

We would substitute 4n for d in Equation 1

0.05n  + 0.10 x 4n = 3.15...............Equation 3

0.05n + 0.4n = 3.15

0.45n = 3.15

Divide both sides by 0.45

0.45n/0.45 = 3.15/0.45

n = 7

The number of nickels is 7

We solve for d, the number of dimes

4n = d

n = 7

4 x 7 = d

28 = d

The number of dimes is  28

Therefore, Kendra has 7 nickels and 28 dimes

To learn more, visit the link below:

brainly.com/question/14749963

6 0
2 years ago
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