<span>
$230,000 in bank A, $240,000 in bank B, $220,000 in bank C
</span>
Answer:
Step-by-step explanation:
This is one minus the probability that all the girls audition for different roles. The total number of ways of assigning roles to the girls is 12^7, because to each of the 7 girls, you have a choice of 12 roles.
Then if each girl is to receive a different role, then there are 12!/5! possibilities for that. If you start assigning roles to the girls, then for the first girl, there are 12 choices, but for the next you have to choose one of the 11 different ones, so 11 for the next, and then one of the 10 remaining for the next etc. etc., and this is 12*11*10*...*6 = 12!/(12-7)! =12!/5!
The probability that a random assignment of one of the 12^7 roles would happen to be one of the 12!/5! roles where each girl has a different role, is
(12!/5!)/12^7 = 12!/(12^7 5!)
Then the probability that two or more girls addition for the same part is the probability that not all the girls are assigned different roles, this is thus:
1 - 12!/(12^7 5!)
It is given that 
.
Now, know that in 180 degrees there are 
radians. This can be written as:
radians
radians (dividing both sides by 180)
Thus, to find the measure of the given angle of 
in radians, we will have to multiply the above equation by 135. Thus, we get:
radians
radians
Thus, equivalent to the radian measure of angle a is 2.356
1.Since 5 is less than 8, borrow 1 from the next column to make 15.
2.Calculate 15 - 8, which is 7.
3.Calculate 3 - 3, which is 0.
4.Since 2 is less than 5, borrow 1 from the next column to make 12.
5.Calculate 12 - 5, which is 7.
6..<span>Calculate 9 - 2, which is 7.</span>
7.<span>Therefore, 102.45 - 25.38 = 77.07.</span>
Answer:
Volume of the hive is 4712.4 square inches.
Step-by-step explanation:
Since hive has the shape of a cone with radius = 15 inches and height = 20 inches
Therefore, volume of the given cone = 
Area of the circular base = πr²
Area = π(15)²
= 225π
Volume of the cone = 
= 1500π
= 4712.39
≈ 4712.4 square inches
Therefore, volume of the hive is 4712.4 square inches.
