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aivan3 [116]
3 years ago
7

jane has 16 cards. ten of the cards look exactly the same and have number 1 on them. the other 6 cards look exactly the same and

have the number 2 on them. jane is going to make a row contaning all 16 cards. how many different ways can she order the row?
Mathematics
1 answer:
grigory [225]3 years ago
5 0

Answer:

8008 ways.

Step-by-step explanation:

That is  16! / 10! 6!

= 16*15*14*13*12*11 / 6*5*4*3*2*1

= 16*15*14*13*11 / 6*5*2

= 16*14*13*11 / 2*2

= 4*14*13*11

= 8008.

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3 years ago
Customers at a gas station pay with a credit card (A), debit card (B), or cash (C). Assume that successive customers make indepe
Maurinko [17]

Answer:

Mean = 20

Variance = 16

Step-by-step explanation:

Solution:-

- Let X be the number of customers paying with a debit card.  X has the binomial distribution with n = 100 trials and success probability p = 0.2  

- In general, if X has the binomial distribution with (n) trials and a success probability of (p) then:

                 P[X = x] = n!/(x!(n-x)!) * p^x * (1-p)^(n-x)

                 for values of x = 0, 1, 2, ..., n  

                 P[X = x] = 0 for any other value of x.

- The probability mass function is derived by looking at the number of combination of x objects chosen from n objects and then a total of x success and n - x failures.  

- Or, in other words, the binomial is the sum of n independent and identically distributed Bernoulli trials.

                  X ~ Binomial( n = 100 , p = 0.2 )

- The mean of the binomial distribution is n * p = 20  

- The variance of the binomial distribution is n * p * (1 - p) = 16  

7 0
3 years ago
A certain quantity decays exponentially over time. The initial quantity at t = 0 is 25,000. The quantity decays at a rate of 5%.
7nadin3 [17]
In order to sole the problem you need to create an equation to model what you are trying to do.
You end up with an equation looking like
25000*0.95^t
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0.95 is being raised to the power of t to determine how many times it has decayed
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3 0
4 years ago
Read 2 more answers
In the diagram, what is the measure of angle 1?
grin007 [14]
3X+9X=180
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That's your answer.
5 0
3 years ago
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What is the point slope form of the points?
Darina [25.2K]

the equation of a line in point-slope form is

y - b = m(x - a)

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to calculate m use the gradient formula

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6 0
3 years ago
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