Answer:
The linear cost function is
dollar.
Step-by-step explanation:
Given : A parking garage charges 4 dollars plus 65 cents per half-hour. A linear cost function for the situation is C(x)=L.
To find : Write a linear cost function for the situation ?
Solution :
Cost function is defined as sum of marginal cost and fixed cost.
Let x be the number of hours i.e. time for which parking cost.
A parking garage charges 4 dollars plus 65 cents per half-hour.
The fixed price is $4.
Marginal cost is 65 cents per half-hour.
Converting cents into dollar,
1 cent = 0.01 dollar
65 cent = 0.65 dollar
The cost of
hour = $0.65
The cost of x hours = 
So, marginal cost is $1.3x.
Cost function is defined as


dollar.
Therefore, The linear cost function is
dollar where x is the number of hours.
The first thing you should do for this case is to use the following table to perform the equation of a line:
y x
41,431 1995
48,729 2005
We have then that the line that best fits this data is
y = 729.8x - 1E + 06
Then, to know in what year the number of shopping centers reaches 80,000 we must replace this number in the equation of the line and clear x:
80000 = 729.8x - 1E + 06
Clearing x
x = (80000 + 1E + 06) / (729.8) = 1479.857495
nearest whole number
1480
This means that after 1480 years, 80000 shopping centers are reached.
Equivalently, this amount is reached in the year:
1480 + 1995 = 3475
In the year 3475
answer
(a) y = 729.8x - 1E + 06
(b) In the year 3475
Answer:
By the Central Limit theorem, the mean of the distribution of sample means is 643.6 minutes.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem
The mean of the population is 643.6 minutes.
By the Central Limit theorem, the mean of the distribution of sample means is 643.6 minutes.
Answer:
The require step to solve the inequality
is
Divide by -4 on each side and flip the sign.

Step-by-step explanation:
What steps should be followed to solve the inequality

Solution:

Divide by -4 on each side and flip the sign.
So the equation becomes

Now minus 4 will get cancel from left and side and in right inside -2 will be there such that (flip the sign)
