Answer:
4 buses
Step-by-step explanation:
There are 173 basketball fans
one bus can hold 46 fans
Hence the number of buses needed can be calculated as follows
= 173/46
= 3.76
= 4
Hence 4 buses are needed
Answer:
<em>Find the probability of success in a single trial and then think about the nature of the problem (when do we stop). </em>
Step-by-step explanation:
Observe that in the single trial, we have (8 4) possibilities of choosing our set of balls. If we have chosen two white balls and two black balls, the probability of doing that is simply
p=(4 2)*(4 2)/(8 4)
This is well know Hyper geometric distribution. Now, define random variable X that marks the number of trials that have been needed to obtain the right combination (two white and two black balls). From the nature of the problem, observe that X has Geometric distribution with parameter p that has been calculated above. Hence
P(X = n) = (1— p)^n-1 *( p )
<em>Find the probability of success in a single trial and then think about the nature of the problem (when do we stop). </em>
Answer:
c. 28 liters
Step-by-step explanation:
Given tha tJanet is mixing a 15% glucose solution with a 35% glucose solution. This mixture produces 35 liters of a 19% glucose solution. Now we need to find about how many liters of the 15% solution is Januet using in the mixture.
Let the number of liters of the 15% solution is Januet using in the mixture = x
Let the number of liters of the 35% solution is Januet using in the mixture = y
Then we get equations:
x+y=35...(i)
and
(15% of x) + (35% of y) = 19% of 35.
or
0.15x+0.35y=0.19(35)
15x+35y=19(35)
3x+7y=19(7)
3x+7y=133 ...(ii)
solve (i) for x
x+y=35
x=35-y...(iii)
Plug (iii) into (ii)
3x+7y=133
3(35-y)+7y=133
105-3y+7y=133
105+4y=133
4y=133-105
4y=28
y=28/4
y=7
plug y=7 into (iii)
x=35-y=35-7=28
Hence final answer is c. 28 liters
86-(5+9)
————- =
3
86-(14)
———- =
3
72
—- = 24
3
45-(11+9)
————- =
5
45-(20)
———— =
5
25
—— = 5
5
245=.70x
Divide both sides by .70
x = $350
