What is 5\6 in decimal form?
2 answers:
You might be interested in
Answer:
The standard equation of the sphere is
Step-by-step explanation:
From the question, the end point are (3,-2,4) and (7,12,4)
Since we know the end points of the diameter, we can determine the center (midpoint of the two end points) of the sphere.
The midpoint can be calculated thus
Midpoint =
Let the first endpoint be represented as and the second endpoint be
.
Hence,
Midpoint =
Midpoint =
Midpoint =
Midpoint =
This is the center of the sphere.
Now, we will determine the distance (diameter) of the sphere
The distance is given by
This is the diameter
To find the radius, r
From
∴
r =
Now, we can write the standard equation of the sphere since we know the center and the radius
Center of the sphere is
Radius of the sphere is
The equation of a sphere of radius r and center is given by
Hence, the equation of the sphere of radius and center
is
This is the standard equation of the sphere
Answer:
16.7%.
Step-by-step explanation:
There are initially pencils in the bag.
Take a pencil out of this bag of 47 pencils. 15 out of the 47 pencils blue. Let represent the event of getting a blue pencil on the first pick. The probability of getting a blue pencil is:
.
There are now pencils left in the bag. However, given that the first pencil removed from the bag is blue, the number of red pencils in the bag will still be 24. Take another pencil out of this bag of 46 pencils. Let
represent the event of getting a red pencil on the second pick. The possibility that the second pencil is red given that the first pencil is blue will be:
.
The question is asking for the possibility that the first pencil is blue and the second pencil is red. That is:
.