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satela [25.4K]
3 years ago
10

HELPP!! Select the correct answer. What is the value of arcsin ?

Mathematics
2 answers:
Ronch [10]3 years ago
7 0

Answer:

Choice B

Step-by-step explanation:

An option is to find the the square root of 2 in decimals is \frac{1.414213562}{2} ≈ 0.7071067812

Now we can use the arc sine, which is the inverse of a sin.

To do this we must use a scientific calculator. By pressing the arc sin button and entering in 0.7071067812, we can find the arc sin, which is 45°.

Schach [20]3 years ago
5 0

For this case we have that by definition, it is called arcsine (arcsin) from a number to the angle that has that number as its sine.

We must find the arcsin (\frac {\sqrt {2}} {2}). Then, we look for the angle whose sine is \frac {\sqrt {2}} {2}.

We have to, by definition:

Sin (45) = \frac {\sqrt {2}} {2}

So, we have to:

arcsin (\frac {\sqrt {2}} {2}) = 45

Answer:

Option B

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(b) The probability that the flight has empty seats is 0.4625.

Step-by-step explanation:

Let the random variable <em>X</em> represent the number of passengers showing up for the flight.

It is provided that a small regional carrier accepted 19 reservations for a particular flight with 17 seats.

Of the 17 seats, 14 reservations went to regular customers who will arrive for the flight.

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P (A remaining passenger will arrive), <em>p</em> = 0.52

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(1)

Compute the probability of overbooking  as follows:

P (Overbooking occurs) = P(More than 3 shows up for the flight)

                                        =P(X>3)\\\\={5\choose 4}(0.52)^{4}(1-0.52)^{5-4}+{5\choose 5}(0.52)^{5}(1-0.52)^{5-5}\\\\=0.175478784+0.0380204032\\\\=0.2134991872\\\\\approx 0.2135

Thus, the probability of overbooking is 0.2135.

(2)

Compute the probability that the flight has empty seats as follows:

P (The flight has empty seats) = P (Less than 3 shows up for the flight)

=P(X

Thus, the probability that the flight has empty seats is 0.4625.

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