Step-by-step explanation:
$ 3750 = truck rental; $125 per ton of sugar transported
C is cost; S is number of tons transported
Equation relating C to S would be a linear equation like y = mx + b
C = 125S + $3750
This equation would be graphed in the first quadrant only
you would start with your y-intercept at (0, 3750)
As x increases by 1, your y increases by 125 yielding these points:
(1, 3875) (2, 4000) (3, 4125) etc.
This shows that for each increase by one ton of sugar, the cost goes up $125
<em>The </em><em>vertex of the function is at (5, 10)</em>
<em>For the function, th</em><em>e domain exists </em><em>on all </em><em>real numbers</em><em> while the range exist for the value</em><em> f(x) ≥ 10</em>
<h3>Vertex, domain and range of a function</h3>
The vertex of a quadratic or linear function is in the form
y = a(x – h)^2 + k
where;
(h, k) is the vertex of the function
Given the function expressed as;
f(x) = |x-5| + 10
On comparison, you can see that h = 5 and k =10, hence the vertex of the function is at (5, 10)
<u>For the domain and range</u>
Domain are the dependent variable for which a function exist while the range is the independent variable for which a function exist.
For the function, the domain exists on all real numbers while the range exist for the value f(x) ≥ 10
Learn more on vertex, domain and range here: brainly.com/question/544653
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Answer:
26 inches
Step-by-step explanation:
5*5=25
25+1=26
130 stamps is the answer you are looking for
Answer:
a) Mean: 13.25
Variance: 11.02
b)
0 if x below than 7.5
is x in between 7.5 and 19
1 if x higher than 19.
Step-by-step explanation:
This is a problem in which we use the uniform probability distribution.
(a) What are the mean and variance of depth?
The mean is the midpoint of 7.5 and 19. So
The mean is 13.25
The variance is given by the following formula:
In which b and a are the limits of the interval. So 
So
The variance is 11.02.
(b) What is the cdf of depth?
The uniform probability distribution has a cummulative distribution function, of 0 if is below a, 
for x in between a and b and 1 is x is greater than b.
So:
0 if x below than 7.5
is x in between 7.5 and 19
1 if x higher than 19.
