Answer:
Step-by-step explanation:
3y + 1 - 2y = -3 -3y
4y = -4
y = -1
X - y = 5
x = y + 5
y = x - 5
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.
Answer:
y = 2x + 2
Step-by-step explanation:
The equation ofa line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x + 4 ← is in slope- intercept form
with m = 2
Parallel lines have equal slopes , thus
y = 2x + c ← is the partial equation
To find c substitute (3, 8) into the partial equation
8 = 6 + c ⇒ c = 8 - 6 = 2
y = 2x + 2 ← equation of parallel line
Answer:
Julie need to sell at least 45 shirts to break even.
Step-by-step explanation:
The selling cost of each shirt = $ 20
Cost of each shirt = $6
The fixed cost per month = $420
Number of shirts she can make = 80
Hence, the <u>cost of making 80 shirts</u> = 80 x $6 = $480
So, her total capital investment of the month
= Cost of shirts made + Fixed cost = $420 + $480 = $900
Now, let us assume she sell k number of shirts.
⇒ $20 x k = $900
or, k = 900 / 20 = 45
or, k = 45
Hence, Julie need to sell at least 45 shirts to break even.