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MariettaO [177]
3 years ago
9

The parallelogram below will undergo a single transformation.

Mathematics
2 answers:
german3 years ago
6 0
The last 2 options are correct
vladimir1956 [14]3 years ago
5 0

Answer:

The correct options are 3 and 4.

Step-by-step explanation:

The vertices of the parallelogram are P(-8,6), Q(-2,6), R(0,-3) and S(-6,3).

If a figure reflected about x = -4, then

(x,y)\rightarrow (-x-8,y)

Therefore the image is not identical to the original parallelogram.

If a figure reflected about y = 4.5, then

(x,y)\rightarrow (x,-y+9)

Therefore the image is not identical to the original parallelogram.

If a figure rotated through an angle of 360° about the origin, then

(x,y)\rightarrow (x,y)

Therefore the image is identical to the original parallelogram.

If a figure rotated through an angle of 360° about the vertex R, then

(x,y)\rightarrow (x,y)

Therefore the image is identical to the original parallelogram.

Thus the correct options are 3 and 4.

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AMERICAN AIRLINES HAS A POLICY OF BOOKING AS MANY AS 15 PEOPLE ON AN AIRPLANE THAT CAN SEAT ONLY 14. (PAST STUDIES HAVE REVEALED
Blizzard [7]

Using the binomial distribution, there is a 0.0874 = 8.74% probability that not enough seats will be available.

<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.

For this problem, the values of the parameters are given by:

n = 15, p = 0.85.

The probability that not enough seats will be available is P(X = 15), as the only outcome in which not enough seats will be available is when all 15 people who bought the ticket show up, hence:

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

P(X = 15) = C_{15,15}.(0.85)^{15}.(0.15)^{0} = 0.0874

0.0874 = 8.74% probability that not enough seats will be available.

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

#SPJ1

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1 year ago
Is 50.1 repeating a rational or irrational number?
leonid [27]
Rational numbers can be written as a fraction
can be terminating or repeating decimal (terminating means a decimal that stops ex 5.873) 
so 50.1 repeating is a rational number
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