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sergejj [24]
3 years ago
7

A helicopter leaves an airport and flies south at 180 mi/h. Thirty minutes later, an airplane leaves the airport and follows the

same route as the helicopter, only at a higher elevation. The airplane is flying 330 mi/h. How many minutes will it take for the airplane to catch up with the helicopter? (Hint: 30 minutes is 12 hour.)
Mathematics
1 answer:
stira [4]3 years ago
8 0

Answer:

36 minutes

Step-by-step explanation:

helicopter 1 is ahead of helicopter 2 by 90 miles

the difference in their speeds is 150 mph

90/150=3/5 of hour

3/5*60=36 minutes

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23 Seconds

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A study is conducted to investigate whether customer satisfaction is greater among computer companies that offer tech support ve
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The correct answer is (E).

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Step-by-step explanation:

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Messages arrive to a computer server according to a Poisson distribution with a mean rate of 11 per hour. Determine the length o
Zarrin [17]

Answer:

The length of the interval during which no messages arrive is 90 seconds long.

Step-by-step explanation:

Let <em>X</em> = number of messages arriving on a computer server in an hour.

The mean rate of the arrival of messages is, <em>λ</em> = 11/ hour.

The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 11.

The probability mass function of <em>X</em> is:

P(X=x)=\frac{e^{-11}11^{x}}{x!};\ x=0,1,2,3....

It is provided that in <em>t</em> hours the probability of receiving 0 messages is,

P (X = 0) = 0.76

Compute the value of <em>t</em> as follows:

P(X=0)=\frac{e^{-11\times t}(11\times t)^{0}}{0!}\\0.76=e^{-11\times t}\\\ln(0.76)=-11\times t\\t=-\frac{\ln(0.76)}{11} \\=0.025\ hours\\\approx90\ seconds

Thus, the length of the interval during which no messages arrive is 90 seconds long.

6 0
3 years ago
Ramon wants to make an acute triangle with three pieces of wood. So far, he has cut wood lengths of 7 inches and 3 inches. He st
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Answer:

7.6 inches to make an acute triangle

Step-by-step explanation:

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3 years ago
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