Answer:
First one is 25/2
Step-by-step explanation:
12×2+1=25/2
9×4+1=36/4
cross multiply and you get
100/
divide both by 2 and you get 50/4 then you divide both by 2 again and you get 25/2 because you can't reduce it anymore
Answer:
C. 128/3 meters cubed
Step-by-step explanation:
The volume of a cylinder is denoted by:
, where r is the radius and h is the height. We know it's equal to 64, so we can set that equal to V:


We know that the sphere and cylinder have the same height and radius. However, the "height" of a sphere is actually the same as its diameter, which is twice its radius. Then, we can replace h in the above equation with 2r:



Now, the volume of a sphere is denoted by:
, where r is the radius. From above, we know that
, so we can plug this into the equation:


Thus, the answer is C.
There are ten combihations of the 5 boards taken 2 at a time. The values of x for each combination are as follows:
(1 ,2), x = 2; (1, 3), x = 1; (1,4), x = 1; (1, 5), x = 1; (2, 3), x = 1; (2, 4), x = 1; (2, 5), x = 1; (3,4), x = 0; (3, 5), x = 0; (4, 5), x = 0.
The mass function of x can be expressed as follows:
P(x = 0) = 0.3.
P(x = 1) = 0.6.
P(x = 2) = 0.1