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labwork [276]
3 years ago
5

What is the image of B(3,2)?

Mathematics
1 answer:
inysia [295]3 years ago
5 0

Answer:

B'(1,4)

Step-by-step explanation:

after reflection in line c....line c is perpendicular bisector of B' and B

find the slope line between trough B and B' its _1 hence slope of the perpendicular bisector should be 1... equation of line c is

y - 3 = 1(x - 2) \\ y = x + 1

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Anton [14]

245.17 is the answer

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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
Evaluate each expression for g = -7 and h = 3 and match it to its value.
Leno4ka [110]
I got 4 but i’m not 100% correct
4 0
3 years ago
Chanda can bake and decorate 72 cookies in 2.5 hours. At this rate,how long will it take her to bake and decorate 108 cookies?
In-s [12.5K]

Hello there! A. 3.75 hours is your answer.

Okay, so lets start by finding the unit rate. To find the unit rate, we can use this formula: total ÷ time = unit rate.

total (72 cookies) ÷ time (2.5 hours) = unit rate. (how many cookies she can decorate and bake in an hour)

72 ÷ 2.5 = 28.8 cookies an hour

Now that we have this information, replace the 180 cookies in for the total number and use algebra to solve.

180 cookies ÷ x time = 28.8

Since 180 is a little more than 2 times 72, A would best fit since 3.75 is much closer to 2.5 than the other options. To check this, we can place 3.75 in for x in 180 ÷ x = 28.8.

180 ÷ 3.75 = 28.8.

So, this is your correct answer.

7 0
3 years ago
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