(2 + n) + m
Step-by-step explanation:
Steve is m
Jack is n
old Wil be in 2 years
= (2+N) + m
Answer: 1 dozen cupcakes can be made in 12 cups of flour.
Step-by-step explanation:
Given : The amount of flour a baker has = 
The number of cupcakes he made by using all flour = 
i.e. 
cupcakes made in 
cups of flour
By unitary method ,
1 cupcake made in 
cups of flour.
i.e. 1 cupcake made in 
cups of flour.
Then , 12 cupcakes can be made in 
cups of flour.
= 27 cups of flour.
Since<em> 1 dozen = 12</em>
Then , 1 dozen cupcakes can be made in 12 cups of flour.
A fleet of nine taxis is to be dispatched to three airports in such a way that three go to airport A, five go to airport B, and one goes to airport C. In how many distinct ways can this be accomplished?
2.44) Refer to Exercise 2.43. Assume that taxis are allocated to airports at random.
a) If exactly one of the taxis is in need of repair, what is the probability that it is dispatched to airport C?
b) If exactly three of the taxis are in need of repair, what is the probability that every airport receives one of the taxis requiring repairs?
So, my answer to 2.44a is 1/9. Hopefully this is correct at least :)
For 2.44b, my guess was
(3C1)(1/3)(2/3)2 * (5C1)(1/3)(2/3)4 * 1/3
The solutions manual on chegg (which seems to be riddled with errors) says something completely different. Is my calculation correct?
Answer:
1.62 seconds
Step-by-step explanation:
h = -16t² + 24t + 16.4
The initial height is 16.4 feet. The snowboarder lands 3.2 feet below this, or at a height of 13.2 feet.
13.2 = -16t² + 24t + 16.4
16t² − 24t − 3.2 = 0
Solve with quadratic formula:
t = [ -(-24) ± √((-24)² − 4(16)(-3.2)) ] / 2(16)
t = [ 24 ± √(576 + 204.8) ] / 32
t = 1.62
The snowboarder is in the air for 1.62 seconds.
