Answer:
The height of the density function is 
Step-by-step explanation:
Given : A random variable X follows the continuous uniform distribution with a lower bound of −4 and an upper bound of 18.
To find : What is the height of the density function f(x)?
Solution :
According to question,
The height of the density function is given by,

Where, a is the lower bound a=-4
b is the upper bound b=18
Substitute the value in the formula,



Therefore, The height of the density function is 
Answer:
A) The indicated values of F(x) for x=-3 and x=5 are
and
B) The domain of f is the set of all real numbers
Step-by-step explanation:
Given that the function F is defined by
for x=-3,5
A) To find F(x) for the indicated values of x :
Given
for x=-3,5
- Put x=-3 in the given function


Therefore
- Put x=5 in the given function


Therefore
The indicated values of F(x) for x=-3 and x=5 are
and
B) To find the domain of f :
The domain of the f in the given expression is the set of all real numbers except where the expression
is undefined. In this case, there is no real number that makes the expression undefined.
The domain of f is the set of all real numbers
Answer:
164 m^2
Step-by-step explanation:
You can think of the shaded area in different ways. One of the ways is the entire outer colored rectangle minus the area of the small white rectangle inside.
The large colored rectangle is 12 m by 15 m.
The inner rectangle is 8 m tall. The width is 12 m - 5 m - 5 m = 2 m
A = 12 m * 15 m - 2 m * 8 m
A = 180 m^2 - 16 m^2
A = 164 m^2
Answer:
1.25 is greatrer
0 is greater
/025 is greater
Step-by-step explanation:
Answer: 3/2 cm per second
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Explanation:
We could compute the slope of this line to get the answer, or we could simply compute y/x. This shortcut only works because the line goes through the origin. If the line didn't go through the origin, then we would have to use the slope formula.
The unit rate is y/x = 9/6 = 3/2 cm per second. I used the point (9,6) to compute the unit rate.
We can think of the fraction 3/2 as 1.5, so the unit rate is equivalent to 1.5 cm/sec.