Answer:
0.6154
Step-by-step explanation:
Using Baye's theorem, the probability that the flip resulted in a head If the selected marble selected is red is given by;
P( H | R ) = (P( R | H ) × P( H ))/[(P( R | H ) × P( H)) + (P( R | -H ) × P( -H ))]
We can deduce that;
P( R | H ) = 4/10 = 0.4
P( R | -H ) = 3/8 = 0.375
P( -H ) = 1 - P( H )
We are given P(H) = 0.6
Thus;
P( -H ) = 1 - P( H ) = 1 - 0.6 = 0.4
Plugging in the derived values into the derived Baye's theorem, we have;
P( H | R ) = [0.4 × 0.6] /[(0.4 × 0.6) + (0.375 × 0.4)]
P( H | R ) = 0.6154
Answer:
The cost of the postage for the letter weighing 3 ounces will be $1.62
Step-by-step explanation:
From the question, we know that the first ounce will cost $0.22 and any additional ounces will cost $0.70, therefore, we can make the following equation where "c" is the total cost of the postage and "a" will be the total weight of the letter in ounces.
c = 0.22 + (0.70)(a - 1)
(we subtract 1 from "a" because for the first ounce we will pay $0.22 instead of $0.70)
Now we just solve the equation by substituting "a" with 3, and we get...
c = 0.22 + (0.70)(a - 1)
c = 0.22 + (0.70)(3 - 1)
c = 0.22 + (0.70)(2)
c = 0.22 + 1.40
c = $1.62
Therefore, the cost of the postage for the letter weighing 3 ounces will be $1.62.
Answer:
6 x 3
Step-by-step explanation:
The distributive property is the property of numbers where, when it does not matter in which order you multiply them. Therefore, to complete this, the answer would be 3 x 6=6 x 3. Hope this helps!
Answer:
10 classes
Step-by-step explanation:
Ok, so to solve this we have to make two different equations. we can say 60x = y, or $60 per month, and 6a = b, or $6 per walk in. Since we want the options to end up costing the same, we can say that y = b. With substitution, we get that 60x, (60 per month) = 6a (6 per drop in). The question says we have 1 month, so x = 1. This means we have 60 = 6a, and a = 10 (10 classes).
Answer:
60.1
Step-by-step explanation:
Just get 72.60 and subtract 12.50