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3 years ago

(05.02)

Mathematics

1 answer:

MissTica3 years ago

6 0

Answer:

It is the last one.

Step-by-step explanation:

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PLEASE ANSWER ASAP

Natali [406]

Maybe Option 2? Not really sure just trying to help

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3 years ago

The value of an industrial machine has a decay factor of 0.75 per year. After six years, the machine is worth $7,500. What was t

Digiron [165]

If the value was initially v, then after a year it is 0.75v, after 2 years it’s 0.75²v, and so on. So after 6 years it’s 0.75⁶v.
So 0.75⁶v=7500, and v=7500/0.75⁶=$42,139.92 approximately. This is close to $42,140.

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3 years ago

Suppose an airline accepted 12 reservations for a commuter plane with 10seats. They know that 7 reservations went to regular com

kvv77 [185]

Answer:

<h2>See the explanation.</h2>

Step-by-step explanation:

(a)

7 persons will show up for sure, hence there is not any kind of probability here.

The other 5 persons have 50% chance to show up.

The flight will be overbooked, if either 4 will come or 5 will come.

From the total 5 persons, 4 can be chosen in $^5C_4 = 5$ ways.

The probability that any four among the 5 will come is $5\times(\frac{50}{100} )^{5} = 5\times(\frac{1}{2} )^{5} = \frac{5}{32}$ .

The probability that all of the 5 passengers will come is $\frac{1}{32}$ .

Hence, the required probability is $\frac{5}{32} + \frac{1}{32} = \frac{6}{32} = \frac{3}{16}$ .

(b)

The probability that there will be exactly 10 passengers on the flight is $^5C_3\times (\frac{1}{2} )^5 = \frac{20}{2} \times\frac{1}{32} = \frac{10}{32} = \frac{5}{16}$ .

The probability that there will be no empty seats in the plane is $\frac{3}{16} + \frac{5}{16} = \frac{1}{2}$ .

Hence, probability of having empty seats is $1 - \frac{1}{2} = \frac{1}{2}$ .

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3 years ago

xplain the circumstances for which the interquartile range is the preferred measure of dispersion. What is an advantage that the

uranmaximum [27]

Answer: The interquartile range is preferred when the data are skewed or have outliers. An advantage of the standard deviation is that it uses all the observations in its computation.

Step-by-step explanation:

The interquartile range are resistant to outliers and can be used for data having glaring outliers.

Outliers are values that are too far away from the central value.

Interquartile range is a better option than standard deviation when there are a few extreme values and the distribution is skwed.

8 0

3 years ago

How long does it take a car to travel 200 mi at a constant speed of 25 mi/h?

beks73 [17]

First you have to do $200/25=8$ .
Since the car is moving at a constant rate, the answer would be 8h.

7 0

3 years ago

Read 2 more answers