Answer:
The probability that the plane is oveloaded is P=0.9983.
The pilot should take out the baggage and send it in another plain or have less passengers in the plain to not overload.
Step-by-step explanation:
The aircraft will be overloaded if the mean weight of the passengers is greater than 163 lb.
If the plane is full, we have 41 men in the plane. This is our sample size.
The weights of men are normally distributed with a mean of 180.5 lb and a standard deviation of 38.2.
So the mean of the sample is 180.5 lb (equal to the population mean).
The standard deviation is:
Then, we can calculate the z value for x=163 lb.
The probability that the mean weight of the men in the airplane is below 163 lb is P=0.0017
Then the probability that the plane is oveloaded is P=0.9983:
The pilot should take out the baggage or have less passengers in the plain to not overload.
Answer: a=25
Explanation: I am assuming you are looking for “a” so if you heard the method of 45, 45, 90 it helps you solve it. So by the 45 being across from 25 makes the 45 across a 25 as well, hope this was what you were looking for…
Answer:
- At 1pm, the number of bacteria in the dish is 1,000,000
- At 12pm, the number of bacteria in the dish is 500,000
Step-by-step explanation:
Given the information on the table
We are to follow the pattern to determine how many million bacteria were in the dish at 1 p.m. and 12 p.m.
Now:
It therefore means that the bacteria population doubles every hour. Following this pattern and reducing the exponents by 1 backwards, we have:
Therefore:
- At 1pm, the number of bacteria in the dish is 1,000,000
- At 12pm, the number of bacteria is 0.5 million=0.5 X 1,000,000=500,000
A) Determine an equation for the population with respect to the number of years after
2014
, assuming that the population increases at a constant rate.
Solution
The function will be of the form
p
=
a
r
n
, where
a
is the initial population,
r
is the rate of increase,
n
is the time in years and
p
is the population.
p
=
584
,
513
(
1.0002
)
n
b) Using this model, estimate the population of Wyoming in
17
years.
solution
Here,
n
=
17
.
p
=
584
,
513
(
1.002
)
17
p
=
604
,
708
c) Using this model, determine in how many years it will take for the population to exceed
600
,
000
.
