Answer:
the number of single room is 27 and the number of double room is 53
Step-by-step explanation:
Let x is the number of single room
Let y is the number of double room
We know that:
x + y = 80 <=> x = 80 -y (1)
80x +90y= 6930 (2)
Substitute (1) in (2) we have:
80 (80 - y) + 90y = 6930
<=> 6400 - 80y +90y = 6930
<=> y = 53
> x = 80 - 53 = 27
the number of single room is 27 and the number of double room is 53
Answer:
Probability that component 4 works given that the system is functioning = 0.434 .
Step-by-step explanation:
We are given that a parallel system functions whenever at least one of its components works.
There are parallel system of 5 components and each component works independently with probability 0.4 .
Let <em>A = Probability of component 4 working properly, P(A) = 0.4 .</em>
<em>Also let S = Probability that system is functioning for whole 5 components, P(S)</em>
Now, the conditional probability that component 4 works given that the system is functioning is given by P(A/S) ;
P(A/S) = {Means P(component 4 working and system also working)
divided by P(system is functioning)}
P(A/S) = {In numerator it is P(component 4 working) and in
denominator it is P(system working) = 1 - P(system is not working)}
Since we know that P(system not working) means that none of the components is working in system and it is given with the probability of 0.6 and since there are total of 5 components so P(system working) = 1 -
.
Hence, P(A/S) =
= 0.434.
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Answer:
t= 9, t= -9
Step-by-step explanation:
Let x = taxable income = difference of gross income and deductions T = income tax paid = amount sent to the government Use the "filing jointly" chart on the right side. You'll use the second row of that chart since subtracting $72,380.90-$8,295.00 leads to a value between 16750 and 68000. That second row turns into this equation T=1675+0.15(x-16750<span>) w</span>here <span>16750<x≤68000</span>