Answer:
There is an 85% probability that the sprinkler head will be activated.
Step-by-step explanation:
We have these following probabilities:
50% of the first sprinkler being triggered
90% of the first sprinkler being reliable
50% of the second sprinkler being triggered
80% of the second sprinkler being reliable.
What is the probability that the sprinkler head will be activated?
is the probability of the first sprinkler being triggered and activated. So:
is the probability of the second sprinkler being triggered and activated. So:
There is an 85% probability that the sprinkler head will be activated.
Answer:
No you cannot.
Step-by-step explanation:
Let c be the amount of time it takes each machine to make 1 cockpit, and p be the amount of time it takes each machine to make 1 propulsion system.
For Machine A, we have 4 cockpits; this would take 4c time. We also have 6 propulsion systems; this would take 6p time. Together it takes 26 hours; this would give us
4c+6p=26.
For Machine B, we have 8 cockpits; this would take 8c time. We also have 12 propulsion systems; this would take 12p time. Together it takes 56 hours; this would give us
8c+12p=56
This gives us the system
To solve this, we want the coefficients of one of the variables to be the same. To make the coefficients of c the same, we can multiply the top equation by 2:
To cancel c, we will subtract the second equation from the first one. However, this also cancels p:
We get a statement that is not true; thus the system has no solution, and we cannot solve for a unique amount of time.
Answer:
(Y-5)=-2/5(x+8)
Step-by-step explanation:
Point slope form is (y2-y1)=m(x2-x1)