Answer:
a) 13/25
b) 12/15
Step-by-step explanation:
a) Since it is with replacement, the chance of them being both the same colour will be
P(both red) + P(both black) = (6/15*6/15) + (9/15*9/15)
= 13/25
b) If they are both different colours, then we will be working out
P(both colours) = (6/15*9/15)*2 = 12/25 (Its *2 because the other way of pulling both colours is 9/15*6/15 which is the same but flipped)
Another way of working this question out is
P(1-All red or all blue) which from above we know that All red or all blue is 13/25 so
P(1-All red or all blue) = 1 - 13/25 = 12/25
Answer:
A
Step-by-step explanation:
An angle of the measure should have the same measure as an angle measured because this is periodic. If we do that, we get the angle:
Thus, the answer is A.
Answer:
C
Step-by-step explanation:
Answer:
The volume of the cone is increasing at a rate of 1926 cubic inches per second.
Step-by-step explanation:
Volume of a right circular cone:
The volume of a right circular cone, with radius r and height h, is given by the following formula:
Implicit derivation:
To solve this question, we have to apply implicit derivation, derivating the variables V, r and h with regard to t. So
Radius is 107 in. and the height is 151 in.
This means that
The radius of a right circular cone is increasing at a rate of 1.1 in/s while its height is decreasing at a rate of 2.6 in/s.
This means that
At what rate is the volume of the cone changing when the radius is 107 in. and the height is 151 in.
This is . So
Positive, so increasing.
The volume of the cone is increasing at a rate of 1926 cubic inches per second.