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RUDIKE [14]
3 years ago
14

Which algebraic expression can be used to find the nth term in the following sequence?

Mathematics
1 answer:
Agata [3.3K]3 years ago
8 0

Answer:

n+4 is the final answer.

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An airline finds that 5% of the persons making reservations on a certain flight will not show up for the flight. If the airline
vivado [14]

Answer:

The answer to the question is;

The probability that a seat will be available for every person holding a reservation and planning to fly is 0.63307.

Step-by-step explanation:

Let the sample size =n = 100

The success probability = 5 % = 0.05

Number of tickets sold = 105 tickets

In the case where there the airline has found that 5 % will not show up, then every passenger should have  a seat, we have  

A Binomial distribution is appropriate where there is a chance for a certain number of successful outcomes from a number of independent trails

However n·p and n·q must be ≥ 5 for there to be a normal approximation of a Binomial distribution thus

n·p = 105×0.05 =  5.25 ≥ 5

and n·q = n(1 - p) = 105 (1 - 0.05) = 99.75 ≥ 5

As the requirements are met, we can proceed with the approximation of the Binomial distribution by the normal distribution

 z = \frac{x-np}{\sqrt{np(1-p)}  } = \frac{4.5 - 105*0.05}{\sqrt{105*0.05(1-0.05)} } =  - 0.3358

We therefore have P(x ≥ 5) = P( x > 4.5) = P(z > -0.34) = 1 - P(z < -0.34) = 1 -0.36693 = 0.63307

Another way to solve the question is as follows

p = 0.95 q = 0.05

μ = np = 0.95*105 = 99.75, σ = \sqrt{npq} = 2.233

P (x≤100) = P(z = P(z<0.34) = 0.63307.

6 0
3 years ago
I need help with this equation please!<br><br> 15- w/4 = 28
Luda [366]

Answer:

w= -52

Step-by-step explanation:

We simplify the equation to the form, which is simple to understand  

15-w/4=28

Simplifying:

15-0.25w=28

We move all terms containing w to the left and all other terms to the right.  

-0.25w=+28-15

We simplify left and right side of the equation.  

-0.25w=+13

We divide both sides of the equation by -0.25 to get w.  

w= -52

Hope it Helps :) !!

8 0
3 years ago
Jason's dad gave him a budget of $150 to spend on lacrosse equipment. How much will Jason have left over if he buys a helmet for
Yanka [14]
The answer is 2.99 explanation is that I used my calculator lol
7 0
3 years ago
Read 2 more answers
PLEASE HELP question 30
weeeeeb [17]

Answer:

B

Step-by-step explanation:

d+c=180 because 360 degrees are in the parrallegram so divide that by 2 so 114+c=180 so

c=66

3 0
3 years ago
!!!!
lakkis [162]
Incorect, you messed up on the second step. 7x4x is not 7x, it is 28x.
6 0
3 years ago
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