Answer:
And we can use the cumulative distribution function given by:
And for this case we can write the probability like this:
And then the final answer for this case would be 
Step-by-step explanation:
For this case we define our random variable X "price of gasoline for a city in the USA" and we know the distribution is given by:
And for this case the density function is given by:
And we want to calculate the following probability:
And we can use the cumulative distribution function given by:
And for this case we can write the probability like this:
And then the final answer for this case would be
Answer:
C
Step-by-step explanation:
noting that 
= i
Given
= 
= 
× × 
= 4i → C
1cm *10 = 10km
40cm * 10 = 400 km
50km/50 = 1cm
400km/50 = 8cm
A: 8cm
A function is g(x) = |x+2| - 5 whose graph is a translation 2 units to the left of the graph of f (x) = |x| - 5.
<h3>What is a function?</h3>
A function is defined as the expression that set up the relationship between the dependent variable and independent variable. A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The given function f(x) = |x| - 5 after transaltion of the graph by 2 units left will become g(x) = |x+2| - 5.
The graph of the function is attached with the answer below. In which both functions are graphed.
Therefore, afunction is g(x) = |x+2| - 5 whose graph is a translation 2 units to the left of the graph of f (x) = |x| - 5.
To know more about functions follow
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For the first one your equation is h(d)=3/7d+5
If d represents the number of days and the question is wanting to know the height after 1 week (7 days) then you would get this equation once 7 is in the place of d
h(d)=3/7(7)+5
When solved you answer is 8 inch.
For the second one your equation is f(x)=75x+250
If x represents the number of weeks and the question is asking how much money Sam will have after 12 weeks then you will get this equation once putting in 12
f(x)=75(12)+250
Once solved you will get the answer $1150
Hope this helps! :)
