#1. look at the individual probability first.
A dice has 6 sides. The numbers > 2 are {3, 4, 5, 6}. So the chance of rolling a number > 2 is 4/6 or 2/3 simplified.
Multiples of 3 on a dice are {3, 6}. So the chance of rolling a multiple of 3 is 2/6 or 1/3 simplified.
Rolling a dice is an independent event, like flipping a coin the previous roll does not have an effect on the outcome of the next roll. So when you see the word AND connecting the outcomes, you multiply them.
Prob of rolling >2 AND then multiple of 3 = (2/3)*(1/3)
= 2/9
#2. The total socks in the drawer: 8+8+4= 20 socks
The probability of first drawing a blue sock is 8/20 or 2/5 simplified.
Since the question does not say the socks are put back in the drawer, the total number of socks and number of blue socks decrease by 1 after the first draw. This makes the next draw dependent on the first.
The probability of drawing a blue sock is then: 7/19
because there's a blue sock missing.
Probability of drawing blue sock AND then a blue sock (without replacement)
= (2/5)*(7/19)
= 14/95
The objective function is. Z=6x+4y
- A. Find the value of the objective function at each corner of the graphed region. ( 2,10)
#CarryOnLearning
Answer:
x = c - a / -b
Step-by-step explanation:
a - bx = c
-a -a
-bx = c - a
divide -b
x = c - a / -b
Answer:
Purchases greater than 66.67 dollars should use coupon 2, while purchases between 20 dollars and 66.67 should use coupon 1.
Step-by-step explanation:
Coupon 1 must be used as long as those 10 dollars represent more money than 15% of coupon 2.
For example, if the purchase is the minimum of $ 20, 10 dollars represents half of the purchase, therefore in this case it is better to use coupon 1.
In this case, coupon 2 would only be a discount of 3 dollars (20 * 0.15).
So when from what value would it be better to use coupon 2, it would have to be calculated when it is worth more than 10 dollars.
10 = x * 0.15
x = 10 / 0.15
x = 66.67
That is to say that from the purchases greater than 66.67 dollars, coupon 2 would have a discount equivalent to 10 dollars or more.
