The equation of the ellipse ( in the standard form ) :
x² / a² + y²/ b² = 1
a = 6, b = 5 ( from a graph )
Answer: D ) x² / 36 + y² / 25 = 1
The mathematical equation for volume of a cylinder is pi times radius Squared Times height
The radius squared is 36
So 3.14 x 36 =113.04
Then you multiply 113.04 x 7 = 719.28.
Round that number and you get to 791.3.
So the answer is c
Two sets (or three technically)
sets {2, 4, 6, 8, 10} & {8,9,10}
The probability of one of the above numbers because it is a union of those two vars/sets so numbers from either set go
{2, 4, 6, 8, 9, 10}
Thats 6 of the 10 numbers
6/10
.6
If i'm wrong, sorry, haven't done this kind of stuff in a while
Answer:
1.4
Step-by-step explanation:
Probability of selecting a red counter :
Number of red counter / total number of counters
5 / (5 + 3) = 5 /8 = 0.625
Probability of selecting a blue counter = 0.375
Let number of red counters :
0, 1 or 2
0 red counters :
Expected value = x * p(x)
0 + (0.625*1) + (0.390625 * 2)
0 + 0.625 + 0.78125 = 1.40625
Expected number of red counters = 1.4
5x + 13 Hope this helps you