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Gennadij [26K]
3 years ago
13

Ten runners are in a race. how many different ways can they finish in 1st, 2nd and 3rd place?

Mathematics
1 answer:
Aleksandr [31]3 years ago
3 0
The order of selection matters, therefore we need to find permutations:
The number of ways is found from 10P3.
10P3=\frac{10!}{7!}=10\times9\times8=720\ ways
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Select the equation and solution for the problem. Let x represent the unknown number A total of 21 people on a sports team are r
pickupchik [31]

Answer:

The answer is C.

Step-by-step explanation:

7 0
3 years ago
[6+4=10 points] Problem 2. Suppose that there are k people in a party with the following PMF: • k = 5 with probability 1 4 • k =
kirza4 [7]

Answer:

1). 0.903547

2). 0.275617

Step-by-step explanation:

It is given :

K people in a party with the following :

i). k = 5 with the probability of $\frac{1}{4}$

ii). k = 10 with the probability of $\frac{1}{4}$

iii). k = 10 with the probability $\frac{1}{2}$

So the probability of at least two person out of the 'n' born people in same month is  = 1 - P (none of the n born in the same month)

= 1 - P (choosing the n different months out of 365 days) = 1-\frac{_{n}^{12}\textrm{P}}{12^2}

1). Hence P(at least 2 born in the same month)=P(k=5 and at least 2 born in the same month)+P(k=10 and at least 2 born in the same month)+P(k=15 and at least 2 born in the same month)

= \frac{1}{4}\times (1-\frac{_{5}^{12}\textrm{P}}{12^5})+\frac{1}{4}\times (1-\frac{_{10}^{12}\textrm{P}}{12^{10}})+\frac{1}{2}\times (1-\frac{_{15}^{12}\textrm{P}}{12^{15}})

= 0.25 \times 0.618056 + 0.25 \times 0.996132 + 0.5 \times 1

= 0.903547

2).P( k = 10|at least 2 share their birthday in same month)

=P(k=10 and at least 2 born in the same month)/P(at least 2 share their birthday in same month)

= $0.25 \times \frac{0.996132}{0.903547}$

= 0.0.275617

6 0
3 years ago
Which equation, when graphed, has x-intercepts at (-1,0) and (-5,0) and a y-intercept at (0, -30)?
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If a function has roots -1 and -5, it must be in the form

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We can fix the coefficient a by imposing the passing through (0,-30):

f(0)=-30=a(1)(5)\iff a=-6

So, the function is

f(x)=-6(x+1)(x+5)

7 0
3 years ago
The area, a, of an ellipse can be determined using the formula a=TTxy where x and y are half the lengths of the largest and smal
Brilliant_brown [7]
a=\pi xy

To solve for y, divide both sides by \pi x:

y=\frac{a}{\pi x}

6 0
3 years ago
Read 2 more answers
A reflection is a type of transformation in which a figure is: Flipped OR Turned
klasskru [66]

Answer:

flipped

Step-by-step explanation:

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6 0
3 years ago
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