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taurus [48]
2 years ago
14

A sequence is defined by the recursive function f(n + 1) =1/3 f(n). if f(3) 9= , what is f(1)

Mathematics
1 answer:
gayaneshka [121]2 years ago
5 0

Answer:

f(1) = 81

Step-by-step explanation:

f(n + 1) = 1/3 f(n)

⇔ f(n) = 3 × f(n + 1)

……………………………

if f(3) = 9  ⇒  f(2) = 3 × f(3) = 3 × 9 = 27

Then

f(1) = 3 × f(2) = 3 × 27 = 81

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United Flight 15 from New York's JFK airport to San Francisco uses a Boeing 757-200 with 182 seats. Because some people with res
Tcecarenko [31]

Answer:

There is a 29.27% probability that the flight is overbooked. This is not an unusually low probability. So it does seem too high so that changes must be made to make it lower.

Step-by-step explanation:

For each passenger, there are only two outcomes possible. Either they show up for the flight, or they do not show up. This means that we can solve this problem using binomial distribution probability concepts.

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}.\pi^{x}.(1-\pi)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And \pi is the probability of X happening.

A probability is said to be unusually low if it is lower than 5%.

For this problem, we have that:

There are 200 reservations, so n = 200.

A passenger consists in a passenger not showing up. There is a .0995 probability that a passenger with a reservation will not show up for the flight. So \pi = 0.0995.

Find the probability that when 200 reservations are accepted for United Flight 15, there are more passengers showing up than there are seats available.

X is the number of passengers that do not show up. It needs to be at least 18 for the flight not being overbooked. So we want to find P(X < 18), with \pi = 0.0995, n = 200. We can use a binomial probability calculator, and we find that:

P(X < 18) = 0.2927.

There is a 29.27% probability that the flight is overbooked. This is not an unusually low probability. So it does seem too high so that changes must be made to make it lower.

5 0
3 years ago
Find the perimeter. Simplify your answer.
dimaraw [331]

Answer:

30y+14

Step-by-step explanation:

add the values of all the sides together: (5y+4) + (5y+4) + (10y+3) + (10y+3) = (5y + 5y + 10y + 10y) + (4 + 4 + 3 + 3)= 30y + 14

5 0
2 years ago
Angles L and M are supplementary. What is the sum of their measures? The sum of the measures of angles L and M is
Reil [10]
Supplementary angles will always add up to 180. If you had a straight line, and you drew another line across that line, the two angles on either side of that line would add up to 180 because a flat line is equal to 180 degrees.
3 0
3 years ago
Read 2 more answers
The sum of two numbers is 50 and the difference is 10. What are the numbers?
Black_prince [1.1K]

Answer:

I believe the answer is 20 and 30

5 0
3 years ago
A cylinder has a base diameter of 14m and a height of 10m. What is its volume in cubic m, to the nearest tenths place?
VARVARA [1.3K]

Answer:

1539 cubic meters

Step-by-step explanation:

Hello, I can help you with this

to solve need  we will need these two equations

Step one

Remember

area of a circle

Area=\pi *\frac{diameter^{2} }{4}\\

Also, the volume of the cylinder

Volume= area of the circle * height

Volume=\pi *\frac{diameter^{2} }{4} *height\\

Step 2

put the values into the equation

Let

diameter= 14 m

height = 10 m

Volume=\pi *\frac{diameter^{2} }{4} *height\\\\Volume=\pi *\frac{(14\ m)^{2} }{4} *10\ m \\\\Volume=\pi *49\ m^{2} *10\ m\\Volume=1539.38\ cubic\ meters

I hope it helps,have a great day.

3 0
3 years ago
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