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emmainna [20.7K]
1 year ago
12

The Crimson Sox are playing a home game and have a 60% chance of winning. At the same time, the Northerners are playing a home g

ame and have a 60% chance of winning. What is the probability that the Crimson Sox win and the Northerners lose
Mathematics
1 answer:
vovangra [49]1 year ago
5 0

<u>The </u><u>probability</u><u> that the Crimson Sox win and the Northerners lose</u><u> </u><u>is </u><u>24%.</u>

What is a probability simple definition?

  • The ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.
  • Probability is the branch of mathematics concerning the occurrence of a random event, and four main types of probability exist: classical, empirical, subjective and axiomatic.
  • Probability is synonymous with possibility, so you could say it's the possibility that a particular event will happen.

P(C) = 0.6    P(Nc) = 0. 4

So, the probability that the Crimson Sox win and the Northerners lose

                                                     = 0.6 × 0.4

                                                     = 0.24  or 24%

Learn more about probability

brainly.com/question/11234923

#SPJ4

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You flip a coin 12 times. What is the probability of getting only one tails in all 12 tries?
tigry1 [53]

Answer: Aproxamatly  18.999999999999999

Step-by-step explanation:

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2 years ago
For what values of y : is the value of the binomial 5y−1 greater than the value of the fraction 3y−1/4
VashaNatasha [74]

Answer:

y>0.375

Step-by-step explanation:

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3 years ago
Read 2 more answers
7) PG &amp; E have 12 linemen working Tuesdays in Placer County. They work in groups of 8. How many
BabaBlast [244]

Part A

Since order matters, we use the nPr permutation formula

We use n = 12 and r = 8

_{n}P_{r} = \frac{n!}{(n-r)!}\\\\_{12}P_{8} = \frac{12!}{(12-8)!}\\\\_{12}P_{8} = \frac{12!}{4!}\\\\_{12}P_{8} = \frac{12*11*10*9*8*7*6*5*4*3*2*1}{4*3*2*1}\\\\_{12}P_{8} = \frac{479,001,600}{24}\\\\_{12}P_{8} = 19,958,400\\\\

There are a little under 20 million different permutations.

<h3>Answer: 19,958,400</h3>

Side note: your teacher may not want you to type in the commas

============================================================

Part B

In this case, order doesn't matter. We could use the nCr combination formula like so.

_{n}C_{r} = \frac{n!}{r!(n-r)!}\\\\_{12}C_{8} = \frac{12!}{8!(12-8)!}\\\\_{12}C_{8} = \frac{12!}{4!}\\\\_{12}C_{8} = \frac{12*11*10*9*8!}{8!*4!}\\\\_{12}C_{8} = \frac{12*11*10*9}{4!} \ \text{ ... pair of 8! terms cancel}\\\\_{12}C_{8} = \frac{12*11*10*9}{4*3*2*1}\\\\_{12}C_{8} = \frac{11880}{24}\\\\_{12}C_{8} = 495\\\\

We have a much smaller number compared to last time because order isn't important. Consider a group of 3 people {A,B,C} and this group is identical to {C,B,A}. This idea applies to groups of any number.

-----------------

Another way we can compute the answer is to use the result from part A.

Recall that:

nCr = (nPr)/(r!)

If we know the permutation value, we simply divide by r! to get the combination value. In this case, we divide by r! = 8! = 8*7*6*5*4*3*2*1 = 40,320

So,

_{n}C_{r} = \frac{_{n}P_{r}}{r!}\\\\_{12}C_{8} = \frac{_{12}P_{8}}{8!}\\\\_{12}C_{8} = \frac{19,958,400}{40,320}\\\\_{12}C_{8} = 495\\\\

Not only is this shortcut fairly handy, but it's also interesting to see how the concepts of combinations and permutations connect to one another.

-----------------

<h3>Answer: 495</h3>
5 0
2 years ago
Abigail has a cylindrical candle mold with the dimensions shown. If Abigail has a rectangular block of wax measuring 15 cm by 12
luda_lava [24]

Find the volume of the candle using the formula for volume of a cylinder:

V = PI x r^2 x h = 3.14 x 3.4^2 x 6 = 217.79 cubic cm. Round to 217.8

Find the volume of the block: V = l x w x h = 15 x 12 x 18 = 3,240 cubic cm.

Now divide the volume of the block by the volume of a candle:

3240 / 217.8 = 14.88

Round to the nearest tenth = 14.9 candles.

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3 years ago
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Answer:

Step-by-step explanation:

Let f(x) be denoted by y,thus y= -3x+2

Now interchange x and y,it becomes x= -3y+2

Solve for y,

y

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This is

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7 0
3 years ago
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