Answer:
Step-by-step explanation:
Divide 4 by 3 and you will get 1333333333... as an answer.It is a repeating decimal . Place a line over the second 3 to show that it is a repeating decimal.
Complete question:
He amount of time that a customer spends waiting at an airport check-in counter is a random variable with mean 8.3 minutes and standard deviation 1.4 minutes. Suppose that a random sample of n equals 47 customers is observed. Find the probability that the average time waiting in line for these customers is
a) less than 8 minutes
b) between 8 and 9 minutes
c) less than 7.5 minutes
Answer:
a) 0.0708
b) 0.9291
c) 0.0000
Step-by-step explanation:
Given:
n = 47
u = 8.3 mins
s.d = 1.4 mins
a) Less than 8 minutes:

P(X' < 8) = P(Z< - 1.47)
Using the normal distribution table:
NORMSDIST(-1.47)
= 0.0708
b) between 8 and 9 minutes:
P(8< X' <9) =![[\frac{8-8.3}{1.4/ \sqrt{47}}< \frac{X'-u}{s.d/ \sqrt{n}} < \frac{9-8.3}{1.4/ \sqrt{47}}]](https://tex.z-dn.net/?f=%20%5B%5Cfrac%7B8-8.3%7D%7B1.4%2F%20%5Csqrt%7B47%7D%7D%3C%20%5Cfrac%7BX%27-u%7D%7Bs.d%2F%20%5Csqrt%7Bn%7D%7D%20%3C%20%5Cfrac%7B9-8.3%7D%7B1.4%2F%20%5Csqrt%7B47%7D%7D%5D)
= P(-1.47 <Z< 6.366)
= P( Z< 6.366) - P(Z< -1.47)
Using normal distribution table,

0.9999 - 0.0708
= 0.9291
c) Less than 7.5 minutes:
P(X'<7.5) = ![P [Z< \frac{7.5-8.3}{1.4/ \sqrt{47}}]](https://tex.z-dn.net/?f=%20P%20%5BZ%3C%20%5Cfrac%7B7.5-8.3%7D%7B1.4%2F%20%5Csqrt%7B47%7D%7D%5D%20)
P(X' < 7.5) = P(Z< -3.92)
NORMSDIST (-3.92)
= 0.0000
Answer:
The simplest form of 1/2 x 2 is 2 or 2/1 or 4/2.
The simplest form of 3/8 is 3/8.
Step-by-step explanation:
(look at picture)
Answer:
D
Step-by-step explanation:
For three line segments to be able to form any triangle you must be able to take any two sides, add their length and this sum be greater than the remaining side.
The terms of an arithmetic progression, can form consecutive terms of a geometric progression.
- The common ratio is:

- The general term of the GP is:

The nth term of an AP is:

So, the <em>2nd, 6th and 8th terms </em>of the AP are:



The <em>first, second and third terms </em>of the GP would be:



The common ratio (r) is calculated as:

This gives

The nth term of a GP is calculated using:

So, we have:

Read more about arithmetic and geometric progressions at:
brainly.com/question/3927222