(2+2):2x4:16-10x2:2x3=x
4:2x4+16-10x1x3=x
8+16-30=x
-6=x
x=-6
This signing : signifícate division
I help the my answer can help you
11 ÷ 2 = 5.5
Ethan ran 5.5 miles per hour
Answer: the price for an adult ticket is $3
Step-by-step explanation:
Let x represent the price of one adult ticket.
Let y represent the price of one child ticket.
The Martinez family went to play and paid $13 for 1 adult and 4 children. This means that
x + 4y = 13 - - - - - - - - - - -1
The Hernandez family went to the same place and paid $14 for 3 adults and 2 children. This means that
3x + 2y = 14 - - - -- - - - - - - -2
Multiplying equation 1 by 3 and equation 3 by 1, it becomes
3x + 12y = 39
3x + 2y = 14
Subtracting, it becomes
10y = 25
y = 25/10 = 2.5
Substituting y = 2.5 into equation 1, it becomes
x + 4 × 2.5 = 13
x + 10 = 13
x = 13 - 10
x = 3
Answer:
P = 0.4812
Step-by-step explanation:
First, we need to use here two expressions and then do the calculations.
The first one is the conditional probability which is:
P(B|A) = P(A∩B)/P(A) (1)
The second expression to use has relation with the Bayes's theorem which is the following:
P(D|C) = P(C|D)*P(D) / P(C|D)*P(D) + P(C|d)*P(d) (2)
Now, the expression (2) is the one that we will use to calculate the probability of a selected random bicyclist who tests positive for steroids.
So, in this case, we will call C for positive and D that is using steroids and d is the opposite of d, which means do not use steroids.
Then, the probabilities are the following:
P(D) = 8% or 0.08
P(C|D) = 96% or 0.96
P(C|d) = 9% or 0.09
P(d) = 1 - 0.08 = 0.92
With these data, let's replace in expression 2
P(D|C) = 0.96 * 0.08 /0.96 * 0.08 + 0.09*0.92
P(D|C) = 0.0768 / 0.1596
P(D|C) = 0.4812 or 48.12%
