Answer:
volume of sphere if radius is divided by 2 is 1/8 of volume of sphere with r radius.
Step-by-step explanation:
The formula to find volume of sphere is:
Volume of sphere = 4/3 π r^3
if radius is divided by 2 i.e r/2
Volume of sphere if r/2 = 4/3 π (r/2)^3
= 4/3 π r^3/8
= (4/3 π r^3) / 8
= (Volume of sphere 1)/8
So, volume of sphere if radius is divided by 2 is 1/8 of volume of sphere with r radius.
Answer:
A. negatively skewed
Step-by-step explanation:
Plot the values of salary against years
You will notice that;
- The graph has a long left tail
- The tail is longer towards the negative direction of the number line
This mean that this graph is a negative skewed graph/left-skewed distribution
In the <u>attached sketch of the plot</u>, join the points with a smooth curve and observe the above mentioned properties.
The x-axis scale ranges from 2000 to 2015 where 0=2000, 1=2001,2=2002......,15=2015
Hope this will give you a visual picture of the negatively- skewed distribution
Answer:
x=10 or x=-4
Step-by-step explanation:
|x-3|=7
There are two solutions, one positive and one negative
x-3 = 7 and x-3 = -7
Add 3 to all sides
x-3+3 = 7+3 x-3+3 = -7+3
x = 10 x = -4
Answer with Step-by-step explanation:
a.Let given vector
a=8i-j+4k

By using the formula
Magnitude of a vector=
Where x=Coefficient of i
y=Coefficient of j
z=Coefficient of k
Unit vector=
By using the formula
The unit vector=
b.Let vector b=-2i+4j+2k


Length of vector=6
Therefore, the vector in the direction of <-2,4,2> with length 6 is given by =
The vector in the direction of <-2,4,2> with length 6 is given by =
c.

Let v=






Therefore, the vector v in component form=