X = 4/15. The topic is solving for unknowns in an equation.
Answer:
5.98
Step-by-step explanation:
2.99 * 1= 2.99
2.99+2.99= 5.98
First you had to multiply 2.99 by 1 because 100% in decimal is 1.
You get 2.99 and you add it to the original price.
And that is how you get 5.98
Since the price is going down, it's going to be a percent decrease. Now to find the percent, we divide the "after" price by the "before" price.
240 / 320 = 0.75 = 75%
The item had a 75% decrease.
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%
The first choice because it’s easier than having to add a bunch of numbers so S=(9)(2)(4)
