Answer:
The length of XY is 32
Step-by-step explanation:
Notice that you have a bisector segment (that divides the segment XY into two equal parts.
since these parts are equal, they must satisfy:
3 x + 1 = 8 x - 24
so, let's solve for x, grouping terms with x on the right of the equal sign, and numerical terms on the left:
1 + 24 = 8 x - 3 x
25 = 5 x
then x = 25/5 = 5
then,now you can find the length of XY as the addition of both parts:
3 x + 1 + 8 x - 24 = 3 (5) +1 + 8 (5) - 24 = 16 + 16 = 32
The area under the graph of the continuous uniform distribution is 1.
a. The probability that the value will be between 5 and 7 is the area between 5 and 7.

b. The probability that the value will be between 2 and 3 is the are between 2 and 3.
c. The mean is given by:

d. The variance is given by:

The standard deviation is:
Answer:

Step-by-step explanation:
m= -8
p (-6,-4)
Formula for equation of a logbook passing through to points:

- where y1= -4 and x1= -6

Expand
(6a + 18 = 18 + 6a)
Cancel 6a on both sides
(18 = 18)
Since both sides are equal, there are infinitely many solutions.
Vsphere=(4/3)pir^3
when we replace r with 2r
newvsphere=(4/3)pi(2r)^3
newvsphere=(4/3)pi8r^3
newvsphere=8((4/3)pir^3)
newvsphere=8(vsphere)
it's volume is multipliied by 8
that is choice C, because 2^3=8, it's vollume is 8 times original voluem
answer is C