What is .75 as a percent
2 answers:
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Answer:
Part (A) The probability that someone from the clinical population is diagnosed with a mental disorder, knowing that the person is diagnosed with an alcohol-related disorder is 0.286
Part (B) The probability that someone from the clinical population is diagnosed with an alcohol-related disorder, knowing that the person is diagnosed with a mental disorder is 0.163.
Step-by-step explanation:
Consider the provided information.
A study of the US clinical population found that 24.5% are diagnosed with a mental disorder, 14% are diagnosed with an alcohol-related disorder, and 4% are diagnosed with both disorders.
P(M) = P(Mental disorder) = 24.5% = 0.245
P(A) =P(Alcohol-related disorder) = 14% = 0.14
P(M and A) =P(Both disorder) = 4% = 0.04
Part (A) What is the probability that someone from the clinical population is diagnosed with a mental disorder, knowing that the person is diagnosed with an alcohol-related disorder?
Hence, the required probability is 0.286.
Part (b) What is the probability that someone from the clinical population is diagnosed with an alcohol-related disorder, knowing that the person is diagnosed with a mental disorder.
Hence, the required probability is 0.163.
The correct question is
<span>The product of two consecutive positive integers is 11 more than their sum. find the integers.
Let
x-------> the first </span>positive integer
x+1-----> the second consecutive positive integer
we know that
x*(x+1)=11+(x+(x+1))----> x²+x=11+(2x+1)----> x²+x=2x+12
x²-x-12=0
using a graph tool------> to resolve the second order equation
see the attached figure
the solution is
x=4
therefore
the numbers are
x=4
x+1=5
the answer is
the numbers are 4 and 5
<span>The product of two consecutive positive integers is 11 more than their sum. find the integers.
Let
x-------> the first </span>positive integer
x+1-----> the second consecutive positive integer
we know that
x*(x+1)=11+(x+(x+1))----> x²+x=11+(2x+1)----> x²+x=2x+12
x²-x-12=0
using a graph tool------> to resolve the second order equation
see the attached figure
the solution is
x=4
therefore
the numbers are
x=4
x+1=5
the answer is
the numbers are 4 and 5
I will first calculate the volume of the tissue boxes, that are cubes.
Volume = Base Area x Height
The base area of a cube is a square so:
Base Area (Square) = L^2
In the cube, all sides have the same measure so the height is also L.
L = 6.5 in
Volume (Cube) = L^2 x L = L^3
-> Volume (Cube) = (6.5)^3
-> Volume (Cube) = approximately 275 in^3
Now calculate the Shipping Container volume:
*Represented on the photo, sorry for the bad drawing
The shipping container is a rectangle prism, every rectangle prism have on the base a square, and a square must have every sides with the same measure, knowing that, we know that the two 19.5 inches measures in the question is the length and width of the square. And the 39 inches measure is the Height of the prism.
Base Area (Square) = L^2 = (19.5)^2 = 380,25 in^2 = approx. 380 in^2
Height = 39 in
Volume = Base Area x Height
-> Volume (Prism) = 380 x 39 = 14,820 in^3
Now, to find the greatest number of tissue boxes (cubes) that fit into one container, you just need to divide the container volume by the cube volume and the quotient will be the number of tissue boxes into the container.
Cube's Volume = 275 in^3
Rectangular Prism's Volume = 14,820 in^3
Answer: 53 tissue boxes.
Volume = Base Area x Height
The base area of a cube is a square so:
Base Area (Square) = L^2
In the cube, all sides have the same measure so the height is also L.
L = 6.5 in
Volume (Cube) = L^2 x L = L^3
-> Volume (Cube) = (6.5)^3
-> Volume (Cube) = approximately 275 in^3
Now calculate the Shipping Container volume:
*Represented on the photo, sorry for the bad drawing
The shipping container is a rectangle prism, every rectangle prism have on the base a square, and a square must have every sides with the same measure, knowing that, we know that the two 19.5 inches measures in the question is the length and width of the square. And the 39 inches measure is the Height of the prism.
Base Area (Square) = L^2 = (19.5)^2 = 380,25 in^2 = approx. 380 in^2
Height = 39 in
Volume = Base Area x Height
-> Volume (Prism) = 380 x 39 = 14,820 in^3
Now, to find the greatest number of tissue boxes (cubes) that fit into one container, you just need to divide the container volume by the cube volume and the quotient will be the number of tissue boxes into the container.
Cube's Volume = 275 in^3
Rectangular Prism's Volume = 14,820 in^3
Answer: 53 tissue boxes.