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Paha777 [63]
2 years ago
5

Suppose we call a number funny if it is the product of three prime factors, of which exactly two are the same. (For example: 12=

2*2*3, so 12 is funny.) What is the total number of funny numbers between 30 and 60?
Mathematics
1 answer:
Schach [20]2 years ago
6 0

Step-by-step explanation:

31 37 41 43 47 51 53 57 59

are the prime numbers between 30 and 60

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In a recent survey of 25 voters, 17 favor a new city regulation and 8 oppose it. What is the probability that in a random sample
Rasek [7]

Answer:

P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727

Step-by-step explanation:

1) Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

2) Solution to the problem

The probability in favor of the regulation based on the recent survey is:

p = \frac{17}{25}=0.68

Let X the random variable of interest "Number of favor respondents about the regulation", on this case we now that:

X \sim Binom(n=6, p=0.68)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

And we want to find this probability:

P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727

If we use X= "Number of respondednts opposed to the regulation we got the same answer", but on this case p = 1-0.68=0.32, and we want this probability:

P(X=4)=(6C4)(0.32)^4 (1-0.32)^{6-4}=0.0727

6 0
3 years ago
Need help and I need to show my work ?? Can someone help
vodka [1.7K]
Answer is D.
Just plug in 2 for x and -2 for y. And solve
7 0
3 years ago
for every three short horned lizards there are two fence lizards. If there are 54 short horned lizards how many fence lizards ar
Komok [63]

Answer: 36

Step-by-step explanation:

54/3 = 18 x 2 = 36

8 0
3 years ago
There are 12 crayons in a box. How many boxes will be needed for 8 children if each child gets 7 crayons?
nata0808 [166]

Each child gets =7×8=56crayoms

  • One box contains 12 crayons

Total boxes

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Round to next whole as we can't have depict

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2 years ago
What is the answer to the problem 1-(-18)
Tamiku [17]

Answer:

19

Step-by-step explanation:

1-(-18)

=1+18

=19

6 0
3 years ago
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