Let us denote the number of boys in the glee club with X and the number of girls with Y.There are 84 students in the glee club, which means that the following equation can be written:X+Y=84We also now that there are 12 more boys than girls, so:X=Y+12We can rewrite the first equation like:(Y+12)+Y=842Y+12=842Y=62Y=62/2=31X=31+12=43So, the ratio of the number of girls to the number of boys is: Y/X=31/43
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The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. Since you are given the slope (0.5) and the y-intercept (3), all you have to do is substitute these given values into the equation. Substituting them in you get: y = 0.5x + 3, which is your answer.
Solve for p by simplifying both sides of the equation, then isolating the variable.
p=6
Answer:
a) 0.125
b) 7
c) 0.875 hr
d) 1 hr
e) 0.875
Step-by-step explanation:l
Given:
Arrival rate, λ = 7
Service rate, μ = 8
a) probability that no requests for assistance are in the system (system is idle).
Let's first find p.
a) ρ = λ/μ
Probability that the system is idle =
1 - p
= 1 - 0.875
=0.125
probability that no requests for assistance are in the system is 0.125
b) average number of requests that will be waiting for service will be given as:
λ/(μ - λ)
= 7
(c) Average time in minutes before service
= λ/[μ(μ - λ)]
= 0.875 hour
(d) average time at the reference desk in minutes.
Average time in the system js given as: 1/(μ - λ)
= 1 hour
(e) Probability that a new arrival has to wait for service will be:
λ/μ =
= 0.875
Answer:
1. w = 15
2. b = 4.8
3. s = 9.7
4. p =15
5. m = -3.2
Step-by-step explanation:
1.w + 10 = 25
we have to find the value of w, so moving 10 from left side to right side
w= 25 - 10
w = 15
2. 7.2 + b = 12
we have to find the value of w, so moving 7.2 from left side to right side
b= 12 - 7.2
b= 4.8
3. 5.3 + s = 15
s= 15 - 5.3
s= 9.7
4.p + (-25) = -10
p-25 = -10
p= -10 + 25
p= 15
3. m + (-1.6) = -4.8
m - 1.6 = -4.8
m = -4.8 + 1.6
m= -3.2
