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olya-2409 [2.1K]
3 years ago
5

Does the fraction 1/2 make 1/2 + 5/5 = 3/2 true?

Mathematics
1 answer:
BaLLatris [955]3 years ago
6 0

Yes it's correct 1/2 + 5/5 = 3/2

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What is 9/10 divided by 3/12
alexgriva [62]
9/10 divided by 3/12
Find the least common multiple
54/60 divided by 15/60
Flip the second fraction and transition from division to multipication
54/60*60/15
Final answer: 3.6 or 3 3/5
8 0
2 years ago
Every time I use a piece of scrap paper, I crumple it up and try to shoot it inside the recycling bin across the room. I'm prett
valentinak56 [21]

Using the binomial distribution, it is found that there is a 0.0012 = 0.12% probability at least two of them make it inside the recycling bin.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

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

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

With 5 shoots, the probability of making at least one is \frac{211}{243}, hence the probability of making none, P(X = 0), is \frac{232}{243}, hence:

(1 - p)^5 = \frac{232}{243}

\sqrt[5]{(1 - p)^5} = \sqrt[5]{\frac{232}{243}}

1 - p = 0.9908

p = 0.0092

Then, with 6 shoots, the parameters are:

n = 6, p = 0.0092.

The probability that at least two of them make it inside the recycling bin is:

P(X \geq 2) = 1 - P(X < 2)

In which:

[P(X < 2) = P(X = 0) + P(X = 1)

Then:

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

P(X = 0) = C_{6,0}.(0.0092)^{0}.(0.9908)^{6} = 0.9461

P(X = 1) = C_{6,1}.(0.0092)^{1}.(0.9908)^{5} = 0.0527

Then:

P(X < 2) = P(X = 0) + P(X = 1) = 0.9461 + 0.0527 = 0.9988

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9988 = 0.0012

0.0012 = 0.12% probability at least two of them make it inside the recycling bin.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

7 0
2 years ago
How do I do numbers 1, 2 and 3
stiks02 [169]
What you want to do for each of those is follow the formula, y-y[1]=m(x-x[1]). When I say y[1] and x[1], I mean the x and y values given. So the first one would be y-4=-3(x-(-1)). Then you solve for y by distributing the -3 to x and +1 (+1 because two negatives make a positive), making the equation
y-4=-3x-3. Then you subtract the 4. Answer #1. y=-3x-7. 

#2. 
y-1=1(x-4)
y-1=x-4
y=x-5

#3.
y-2=2(x-(-1))
y-2=2x+2
y=2x+4

Hope this helped you!

8 0
3 years ago
Help fast ASAP for 10 points
Zina [86]

Answer:

PQRS → P'Q'R'S'

Hope this helps you.

8 0
3 years ago
Read 2 more answers
If Cindy works 18 hours a week at 5.15 an hour how much did she make for the whole year?
kipiarov [429]
Find how many weeks are in a year and times by 5.15
3 0
3 years ago
Read 2 more answers
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