Answer:
C
Step-by-step explanation:
The angle adjacent to x on XY = 115° ( corresponding angle )
This angle and x are adjacent and supplementary , thus
x = 180 - 115 = 65 → C
Answer:
Find the volume of the rectangular prism and
divide by the volume of the cube.
Volume of cube = side measure ^3
Cube = (1/8)3 = 1/512
Volume of prism = Ixwxh
Prism (1/4)(1/2)(3/8) =3/64
3/64/1/512
3/64 x 512/1
3x 512/64
1536/64
24
Square root both sides and you get:
X=8
there is no solution if the equation are put together but there is if they are done alone
first question and second question
The answer is in the picture above please mark me brainliest :)
Answer:
a) 
b) 
c) 
Step-by-step explanation:
If we work with the limits defined from 5 to 10 then part b and c from this question not makes sense. If we work with the limits 1 and 6 all the parts for the question makes sense because if we work with 5 and 10 the only thing that we can find is the expected value 
Assuming the following correct question : "A publication released the results of a study of the evolution of a certain mineral in the Earth's crust. Researchers estimate that the trace amount of this mineral x in reservoirs follows a uniform distribution ranging between 1 and 6 parts per million"
Solution to the problem
Let A the random variable that represent " amount of the mineral x ". And we know that the distribution of A is given by:

Part a
For this uniform distribution the expected value is given by
where X is the random variable, and a,b represent the limits for the distribution. If we apply this for our case we got:

Part b
For this case we can use the cumulative distribution function for the uniform distribution given by:

And we want this probability:
Part c
For this case we want this probability:
