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Afina-wow [57]
2 years ago
13

Xander spends most of his time with his 10 closest friends. He has known 4 of his 10 friends since kindergarten. If he is going

to see a movie tonight with 3 of his 10 closest friends, what is the probability that the first 2 of the friends to show up to the movie are friends he has known since kindergarten but the third is not?
Mathematics
2 answers:
Liula [17]2 years ago
7 0
Note that there's a strict order here -> 2 close friends, then 1 non-close friend.

So, picking in order:
probability of picking the first close friend: 4/10
probability of picking the second close friend: 3/9
probability of picking the first non-close friend: 6/8

So, we get 4/10 * 3/9 * 6/8 = 1/10.
aniked [119]2 years ago
4 0

Answer:

2/1

Step-by-step explanation:

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Find the theoretical probability of rolling a number cube labeled 1-12 and<br> it landing on 7.
Rashid [163]

Answer:

1/12

Step-by-step explanation:

There are 12 sides, and 7 is one of them. Therefore, there is a 1/12 chance of it landing on that side if it is a fair cube.

3 0
3 years ago
Let X, the number of flaws on the surface of a randomly selected boiler of a certain type, have a Poisson distribution with para
kvasek [131]

Answer:

(a) 0.932

(b) 0.0653

(c) 0.032

(d) 0.316

(e) 0.251

Step-by-step explanation:

From the table with mean parameter μ = 5, we can compute the following cumulative and density probability

(a) P(X \leq 8) = 0.932 (cumulative)

(b) P(X = 8) = 0.0653 (density)

(c) P(9 \leq X) = 1 - P(X \leq 9) = 1 - 0.968 = 0.032 (cumulative)

(d) P(5 \leq X \leq 8) = P(X \leq 8) - P(X \leq 5) = 0.932 - 0.616 = 0.316 (cumulative)

(e) P(5 < X < 8) = P(X \leq 8) - P(X \leq 5) - P(X = 8) = 0.932 - 0.616 - 0.0653 = 0.251

5 0
3 years ago
Is d y / d x the exact same as f ' ( x ) ? If yes, which is more commonly used?
Murrr4er [49]
It's dependent on the context. A book may ask you to find the f'(x) of a function and you may have to use a u sub in your problem which requires you to find the dy/dx of what you substitute. So in this case both would be used.
7 0
2 years ago
What is the value of Negative 5 Superscript 6? –15,625 –30 30 15,625
babymother [125]

Answer:

15625

Step-by-step explanation:

Lets use the information to present the question into mathematical form:

(-5)^{6}

so this means -5 is multiplying itself 6 times so this means

value of negative 5 superscript 6 means

(-5)^{6} = -5 x -5 x -5 x -5 x -5 x -5

so the answer is 15625

7 0
2 years ago
Read 2 more answers
What are the solutions to the nonlinear equations below y=4x x^2 + y^2=17
wolverine [178]

Answer:

x = 1 and x = -1

Step-by-step explanation:

Next time, please separate the equations with a comma or semicolon.  Thanks.

We can substitute 4x for y in the quadratic equation x^2 + y^2=17:

x² + (4x)²=17.

Then x² + 16x² = 17, or

17x² = 17, or x² = 1.  There are two solutions:  x = 1 and x = -1.

8 0
3 years ago
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