Given:
The increase in pressure P is the linear function of the depth d.
The cost of dinner is $300 and $10 per students.
To find:
The initial value and rate of change and their interpretation.
Find the cost function C where n is the number of students.
Solution:
The slope intercept form of a linear function is
...(i)
where, m is rate of change and b is y-intercept or initial value.
We have,
...(ii)
From (i) and (ii), we get
The initial value is 14.7. It means, the pressure at sea level is 14.7 pounds psi.
Rate of change is 0.445. It means, the pressure is increasing by 0.445 pounds psi for every feet.
The cost of dinner is $300 and $10 per students.
Let C(n) be the total cost for dinner and n be the number of students.
Fixed cost = $300
Additional cost for 1 student = $10
Additional cost for n student = $10n
Now,
Total cost = Fixed cost + Additional cost
Therefore, the required cost function is .
-103
if he lost the same weight each week that means -412 (the weight he lost) ÷ 4 (number of weeks) = -103 (amount of weight lost in one week)
Answer:
And using the normal standard table or excel we find the probability:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the avergae number of weeks an individual is unemployed of a population, and for this case we know the distribution for X is given by:
Where 
and 
Since the distribution for X is normal then, the distribution for the sample mean 
is given by:
We select a sample of n =50 people. And we want to find the following probability
And using the normal standard table or excel we find the probability:
Answer:
Total cost for 2.80 hours = ($255/hr)(2.80 hrs) = $714.
Step-by-step explanation:
Multiply this hourly rate by the elapsed time (2.80 hours):
Total cost for 2.80 hours = ($255/hr)(2.80 hrs) = $714.
Answer:
5) a
6) a
7) b
8) d
9) a
10) b
11) c
12) a
Step-by-step explanation:
When it asks for range it is asking for the y values so when you plug in numbers such as 0,1,2 into the equation the y values you get are {0,90,180..}
Overall slope can be found by taking the x and y values of the two given points.
((y value of the second point)-(y value of the first point))/((x value of the second point)-(x value of the first point))
Using (1,2) and (-2, 5) you can do this by plugin in the numbers (5-2)/(-2-1)
So the slope will be 3/-3 = -1
Once you find the slope you can use this to find the equation of a line by pluging in values into y=mx + b
m = slope
y = use this from the points given
x = use this from the points given
