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lisov135 [29]
3 years ago
14

which expression is equivalent to 6^-3?? options: a: -6^3 b: 3^6 c: 3 weird dash 6, d: (1 over 6) ^ 3

Mathematics
1 answer:
givi [52]3 years ago
5 0

Answer:

d: (1/6)^3

Step-by-step explanation:

6^-3 = 1/216

a) (-6)^3 = -216

b)  3^6 = 729

c) sorry i don't know what you mean by weird dash haha

d) (1/6)^3 = 1/216

hopefully this helps :)

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3 years ago
Assume that there are an equal number of births in each month so that the probability is that a person chosen at random was born
NikAS [45]

Answer:

0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have a birthday in May, or they do not. The probability of a person having a birthday in May is independent of any other person. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Probability of a person being in May:

May has 31 days in a year of 365. So

p = \frac{31}{365} = 0.0849

Group of 20 friends:

This means that n = 20

What is the probability that at the May celebration, exactly two members of the group have May birthdays?

This is P(X = 2).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{20,2}.(0.0849)^{2}.(0.9151)^{18} = 0.2773

0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays

3 0
3 years ago
PLEASE HELP ASAP. Don’t send a link just put the answer. I’ll give brainpower to whoever answers!!!!!
givi [52]

Answer:

d/c = 8

Step-by-step explanation:

f(x) = 5.4321×2^×

f(4) = 5.4321×2^4 = d

f(1) = 5.4321×2^1 = c

d/c = (5.4321×2^4)/(5.4321×2^1) = 2^3 = 8

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3 years ago
A mirror that is 9 1/3 feet long is to be centered on a wall that is 12 feet long. How much space is there from the edge of the
Hatshy [7]
2 2/3
..........................
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3 years ago
PLEASE PLEASE HELP!!!!!
kodGreya [7K]
We need 6.5% to a decimal so..
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$21.30 X 0.065 = 1.3845 tax on the shirt
 
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$21.30 + 1.3845 = $22.6845

Answer = $22.68
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