Step-by-step explanation:
a.
Let X be the amount paid by a certain credit card service.
From the details supplied, the X-bar is $485, the standard deviation is $300 and n=900.
By the central limit theorem when the sample size is high, the sample mean fits the normal distribution with the mean μ and the standard deviation function
So the likelihood that the total sum paid on the sample bills is greater than $500 is seen.
= P ( Z > 1.5 )
= 1 - 0.93319 { From excel function =NORM.DIST(1.5,0,1,TRUE)
= 0.0668
Thus, the probability that the average amount billed on the sample bills is greater than $500 is 0.0668.
Answer:
Step-by-step explanation:
Given
Two sides of triangle of sides 5 ft and 7 ft
and angle between them is increasing at a rate of 0.9 radians per second
let is the angle between them thus
Area of triangle when two sides and angle between them is given
Differentiate w.r.t time
at
Answer:
The rate at which water leaking is gal/min.
Step-by-step explanation:
Given:
A large container holds 8 gallons of water.
After 56 minutes the container only has 1 gallon of water left.
Now, to find at what rate is the water leaking.
So, water leaked from the container = 8 gallons - 1 gallon = 7 gallons.
Time taken for leakage = 56 minutes.
<em>Now, to get the rate:</em>
The rate = gal/min.
Therefore, the rate at which water is leaking is gal/min.