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3 years ago

What are the first four solutions to the sequence: f(1) = 4 and f(n) = 2*f(n-1)+3

1 answer:

8 0

F(1) = 4 is given

f(2) = 2*f(2-1)+3
= 2*f(1)+3
= 2*4+3
= 8+3
= 11
f(3) = 2*f(3-1)+3
= 2*f(2)+3
= 2*11+3
= 22+3
= 25
f(4) = 2*f(4-1)+3
= 2*f(3)+3
= 2*25+3
= 50+3
= 53
f(5) = 2*f(5-1)+3
= 2*f(4)+3
= 2*53+3
= 106+3
= 109

f(1) = 4
f(2) = 11
f(3) = 25
f(4) = 53
f(5) = 109

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An Airliner has a capacity for 300 passengers. If the company overbook a flight with 320 passengers, What is the probability tha

TEA [102]

Answer:

The probability is $P(X >300 ) = 0.97219$

Step-by-step explanation:

From the question we are told that

The capacity of an Airliner is k = 300 passengers

The sample size n = 320 passengers

The probability the a randomly selected passenger shows up on to the airport

$p = 0.96$

Generally the mean is mathematically represented as

$\mu = n* p$

=> $\mu = 320 * 0.96$

=> $\mu = 307.2$

Generally the standard deviation is

$\sigma = \sqrt{n * p * (1 -p ) }$

=> $\sigma = \sqrt{320 * 0.96 * (1 -0.96 ) }$

=> $\sigma =3.50$

Applying Normal approximation of binomial distribution

Generally the probability that there will not be enough seats to accommodate all passengers is mathematically represented as

$P(X > k ) = P( \frac{ X -\mu }{\sigma } > \frac{k - \mu}{\sigma } )$

Here $\frac{ X -\mu }{\sigma } =Z (The \ standardized \ value \ of \ X )$

=> $P(X >300 ) = P(Z > \frac{300 - 307.2}{3.50} )$

Now applying continuity correction we have

$P(X >300 ) = P(Z > \frac{[300+0.5] - 307.2}{3.50} )$

=> $P(X >300 ) = P(Z > \frac{[300.5] - 307.2}{3.50} )$

=> $P(X >300 ) = P(Z > -1.914 )$

From the z-table

$P(Z > -1.914 ) = 0.97219$

$P(X >300 ) = 0.97219$

8 0

3 years ago

I need help with this 10 points Pls pls pls someone come help me

Vikki [24]

Answer:

angle b is 62 degrees. This is because if we solve for x, by putting the 2 equations equal to each other(because they are vertical angles), than we figure out that x=6. Now plug that into angle b's equation, and you get 62 degrees.

Step-by-step explanation:

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3 years ago

a restaurant sells a coffee refill mug for $6.75. Each refill costs $1.25. Last month keith spent $31.75 on a mug and refills wr

evablogger [386]

y= 1.25x+6.75
Make 31.75 y because that is the total cost he paid.
1.25x+6.75=31.75
1.25x=25
x=20
So he had 20 refills.

7 0

3 years ago

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Mark and his 3 friends agreed to join the School’s talent show. They then decided how to pick the song that they will sing for t

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Answer:

Step-by-step explanation:

In order to get to choose the song Mark needs to roll a 1 since a 2 is the smallest number already rolled.

Probability of rolling a 1 is:

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3 years ago

Which ordered pairs lie on the graph of the exponential function f(x)=-3(x-1)+2

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Answer:

(-1,2), (1,1), (0,0), (4,-25)

Step-by-step explanation:

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2 years ago