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3 years ago

15

Point P' is the image of P(3,5) under a reflection across the y-axis.

1 answer:

Kryger [21]3 years ago

8 0

Answer:

(-3,5)

Step-by-step explanation:

In reflections the x axis is the opposite only

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The formula for the circumference of a circle is C = 2xr. If the circumference is

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Answer:

774.4

Step-by-step explanation:

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3 years ago

The admission fee at the Smithsonian Air & Space

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A. 1.50c+ 4.00a = 5050 (Money earned)
c + a =2200 (Guests in the museum)

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3 years ago

Which number is prime 57, 63, 51, 67

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3 years ago

Read 2 more answers

Construct the discrete probability distribution for the random variable described. Express the probabilities as simplified fract

lisov135 [29]

Answer:

$P(X = 0) = 0.03125$

$P(X = 1) = 0.15625$

$P(X = 2) = 0.3125$

$P(X = 3) = 0.3125$

$P(X = 4) = 0.15625$

$P(X = 5) = 0.03125$

Step-by-step explanation:

For each toss, there are only two possible outcomes. Either it is tails, or it is not. The probability of a toss resulting in tails is independent of any other toss, which 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.

Fair coin:

Equally as likely to be heads or tails, so $p = 0.5$

5 tosses:

This means that $n = 5$

Probability distribution:

Probability of each outcome, so:

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

$P(X = 0) = C_{5,0}.(0.5)^{0}.(0.5)^{5} = 0.03125$

$P(X = 1) = C_{5,1}.(0.5)^{1}.(0.5)^{4} = 0.15625$

$P(X = 2) = C_{5,2}.(0.5)^{2}.(0.5)^{3} = 0.3125$

$P(X = 3) = C_{5,3}.(0.5)^{3}.(0.5)^{2} = 0.3125$

$P(X = 4) = C_{5,4}.(0.5)^{4}.(0.5)^{1} = 0.15625$

$P(X = 5) = C_{5,5}.(0.5)^{5}.(0.5)^{0} = 0.03125$

5 0

3 years ago

What is the value of x?<br><br> sin49° = cosx<br><br> Enter your answer in the box.<br><br> x = ? °

Anni [7]

Answer:

$x = 41^{\circ}$

Step-by-step explanation:

$\sin(49^{\circ}) = \cos(90^\circ -49^\circ) = \cos (41^\circ)$

3 0

3 years ago