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Anni [7]
3 years ago
6

Add the equations.

=-1 + -3x + 3y=27" alt="3x- y=-1 + -3x + 3y=27" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Xelga [282]3 years ago
6 0
-6x+4y-28 sorry if it’s wrong
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There is a boardwalk game at Point Pleasant where you are blindfolded to throw darts at a board full of balloons. Each time a da
arlik [135]

The given number of balloons, green = 10, purple = 4, red = 5, tie-dye = 2, black = 3, gives;

a. 5/138

b. 25/276

c. 5/1012

d. 35/46

<h3>How can the different probabilities be calculated mathematically?</h3>

Given parameters;

Number of balls;

Green = 10

Purple = 4

Red = 5

Tie-dye = 2

Black = 3

Mode of selection = Without replacement

Number of balloons = 10+4+5+2+3 = 24

a. Probability of popping a red balloon = 5/24

Probability of popping a second red balloon = 4/23

Therefore;

Probability of popping two reds consecutively = 5/24 × 4/23 = 5/138

b. Probability of popping a red balloon = 5/24

Probability of popping a green balloon next = 10/23

Therefore;

Probability of popping a red and then a green balloon = 5/24 × 10/23 = 25/276

c. Probability that the first balloon that pops is a red = 5/24

Next balloon is a black = 3/23

Third balloon is red = 4/22

The probability, <em>P</em>, is therefore;

  • P = 5/24 × 3/23 × 4/22 = 5/1012

d. The probability that the first balloon is a tie-dye = 2/24 = 1/12

Therefore;

Probability that the first balloon is not a tie-dye = 1 - 1/12 = 11/12

Probability that the second balloon is not a tie-dye = 21/23

Similarly;

Probability that the third balloon is not a tie-dye = 20/22 = 10/11

Which gives;

The probability, <em>P</em>, of popping anything but a tie-dye on three consecutive throws is therefore;

  • P = 11/12 × 21/23 × 10/11 = 35/46

Learn more about probability theory in mathematics?

brainly.com/question/13604758

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7 0
1 year ago
Steven's family needs a new microwave. There is one on sale that measures 20 inches by 14 inches by 11 inches. What is the volum
Dahasolnce [82]

Answer:

3,080 in³

Step-by-step explanation:

To find the volume you use the formula

Length*Width*Height= Volume

So,

14*11*20 = 3080

and you unit will be cubed because volume is cubed!

6 0
3 years ago
it takes 47 minutes for 7 people to paint 7 walls. how many minutes does it take 20 people to paint 20 walls?
4vir4ik [10]

Answer:

7 people, 7 walls, 48 minutes

 

Each person paints 1 wall in 48 minutes

 

20 persons, 20 walls


Each person can paint 1 wall in 48 minutes so it will  take 48 minutes.



6 0
2 years ago
HIGH POINTS/WILL MARK BRAINLIEST
Art [367]

Answer:

The leading term is 2x^7. Since n is odd and a is positive, the end behavior is down and up.

5 0
2 years ago
Peter has $40.25 in his piggy bank. The amount is made up of an equal number of four coins. The coins could be 1c, 10c, 5c, 25c,
Crazy boy [7]

Answer:

Step-by-step explanation:

It’s made up of the 1 dollar coin , .50 cents coin, .25 cents coin, and the .10 cents coin. If you multiply each by 25 you get the exact value , so these coins make it up but there is exactly 25 of each

7 0
3 years ago
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