Step-by-step explanation:
3.5 hours for 1 cake means 3.5 hours per cake.
similar : 2 hours for 1 pie means 2 hours per pie.
so, if there are e.g. 3 pies, they take 3×2 = 6 hours.
therefore the general constraint is
3.5x1 + 2x2 <= 70
I think the names "x1" and "x2" are confusing when writing this inequality.
I prefer to use x and y.
and then it would look like
3.5x + 2y <= 70
Since there are two events happening simultaneously (windy and no sun), we can apply the concept of conditional probability here.
P(A|B) = P(A∩B)/P(B)
where it means that given B is happening, the probability that A is happening as well is the ratio of the chance for A and B to happen simultaneously over the chance of B to happen.
For our case, this can be interpreted as
P(A|B): it is the probability that it is windy (A) GIVEN that there is no sun (B)
P(A∩B) : chance of wind and no sun
P(B) : chance that there is no sun tomorrow
The chance of P(A∩B) is already given as 20% or 0.20. Since there is 10% or 0.10 chance of sun, then chances of having no sun tomorrow is (1-0.10) = 0.90.
Thus, we have P(A|B) = 0.2/0.9 ≈ 0.22 or 22%.
So, answer is B: 22%<span>.</span>
If the new technology innovation improves the production by 10%, they are increasing the amount of cars made by 10%.
Originally, 120 cars were made per day.
10% of 120 is 12.
Since the amount of cars made per day was increased by 12, we can add 12 to 120 to get 132 cars made per day (as the new unit rate).
The question asks how many cars can be produced in 5 days (after the car production increase). We can get the answer by multiplying our new daily amount of cars by 5: 132 times 5.
132 times 5 = 660
So, 660 cars can be produced in the factory in 5 days.
Answer:5
Step-by-step explanation:
