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Vesna [10]
3 years ago
14

your hourly wage is $9.30 per hour plus $0.80 for each unit you produce. how many units must you produce in 1 hour so that your

hourly wage is $18.90?
Mathematics
1 answer:
jasenka [17]3 years ago
3 0

Answer:       12 units

Step-by-step explanation:

18.90- 9.30= 9.60

9.60/ 0.80= 12

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A small regional carrier accepted 19 reservations for a particular flight with 17 seats. 14 reservations went to regular custome
Ludmilka [50]

Answer:

(a) The probability of overbooking is 0.2135.

(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.

Number of reservations = 19

Regular customers = 14

Seats available = 17 - 14 = 3

Remaining reservations, n = 19 - 14 = 5

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

The random variable <em>X</em> thus follows a Binomial distribution with parameters <em>n</em> = 5 and <em>p</em> = 0.52.

(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.

4 0
3 years ago
Natalie invests $5,000 into a savings account
natali 33 [55]
Hence thirty two dollars , is the solution
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2 years ago
Write each trigonometric ratio as a fraction in simplest form. show all supporting work
Nesterboy [21]

Answer: \frac{x}{20}

Step-by-step explanation:

Sine uses the ratio,  \frac{opposite}{hypotenuse} so we can plug in the information we know. since there is no current value for the opposite side of angle A, we can just use a variable to replace it.

sinA=\frac{x}{20}

You can't reduce this any further because there is an unknown variable.

7 0
3 years ago
The following table shows the monthly defect rate for a product at a manufacturing company.
Lapatulllka [165]

Answer:

3

Step-by-step explanation:

3 0
3 years ago
The length of a train car is 50.6 feet. This is 5.8 feet less than 6 times the width. What is the width? Round to the nearest te
Anon25 [30]
The answer would be 9.4.
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3 years ago
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