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Oksana_A [137]
2 years ago
11

A jury pool consists of 27 people. How many different ways can 11 people be chosen to serve on a jury and one additional person

be chosen to serve as the jury foreman?
Mathematics
1 answer:
hichkok12 [17]2 years ago
4 0

Answer:

208,606,320

Step-by-step explanation:

A jury pool consists of 27 people. 11 people be chosen to serve on a jury and one additional person be chosen to serve as the jury foreman

Total of 27 people. 11 people can be selected from 27 people in 27C11 ways

27C11= \frac{27!}{11!(27-11)!} =13037895

one additional person be chosen to serve as the jury foreman

after selecting 11 people , remaining  is 27 - 11= 16 people

Now 1 is selected from 16 in 16 ways

Number of different ways = 13037895 \cdot 16=208606320

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A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than t
belka [17]

system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y is  x+8y=68 and 3x+4y=64   .

<u>Step-by-step explanation:</u>

Here we have , A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same. We need to find Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y . Let's find out:

Let the price in dollars of each large candle, x, and each small candle, y .So

A customer at a store paid $64 for 3 large candles and 4 small candles

Equation is  :

⇒ 3x+4y=64  .....(1)

At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles.

Equation is  :

⇒ x+8y=68  .......(2)

3(2)-(1) i.e.

⇒ 3(x+8y)-(3x+4y)=68(3)-64

⇒ 20y=140

⇒ y=7

So , x+8y=68  

⇒  x+8(7)=68

⇒  x=12

Therefore , system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y is  x+8y=68 and 3x+4y=64   .

7 0
2 years ago
You are about to visit Jamestown in North Dakota, to see the world's largest buffalo monument. You know that it snows $25\%$ of
RideAnS [48]

Answer:

The probability that it is actually snowing in North Dakota is 17%.

Step-by-step explanation:

Note: The data in the question is not properly stated. The complete question is therefore represented to correct this as follows:

You are about to visit Jamestown in North Dakota, to see the world's largest buffalo monument. You know that it snows 25% of the time in North Dakota, and you are thinking about bringing your parka. It turns out that you have three friends who live in North Dakota, but they are not very trustworthy: Each tells the truth 2/3 of the time, and lies for the remaining 1/3. You call your three friends, and each friend tells you that it is indeed snowing in North Dakota. Given this information, what is the probability that it is actually snowing in North Dakota?

The explanation to the answer is now given as follows:

The probability that it is actually snowing in North Dakota can be calculated using the following formula:

Pa = Pr * Pt ........................... (1)

Where;

Pa = the probability that it is actually snowing in North Dakota = ?

Pr = the prior probability that it snows in North Dokota = 25%, or 0.25

Pt = Probability of saying the truth that it snows = 2/3 = 0.67

Substituting the value into equation (1), we have:

Pa = 0.25 * 0.67

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3 0
2 years ago
What key would you use if 10 students chose cartoons
NISA [10]

I am not 100% sure as to what you are asking, but I will try my best. Each key is equal to 3 students, so if 10 chose cartoons, a better key would be 2, 5, and 1. 1 might make it a bit cluttered, but if 10 students chose cartoons and you are using the 3 key, you can draw 1/3 of a box.

4 0
2 years ago
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Its 6 feet and 5 inches 
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DENIUS [597]

Answer:

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Step-by-step explanation:

1000 times 1.02

here the answer will be 1020.

step-by-step explanation:

1000 times 1.02= 1020

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2 years ago
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