◆ Trigonometric Identities ◆
Hey !!
Check the attachment.
Hope it helps you :)
She would have $7160.86 left over in cash here's why.....
she starts off with $8,322.65 and spends $830.98 on rent $8,322.65-$830.98= $7,491.67
then spends $210.36 on food and another $120.45 on gas
$7,491.67-$210.36= $7,281.31 - $120.45= $7,160.86 <---- Left over $
The lines are proven to be parallel so that executes the two perpendicular choices, so I'm assuming it is 'The lines are parallel because the slopes are the same'...
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%
Answer:
b. Binomial distribution.
Step-by-step explanation:
As a manufacturer is interested in the number of blemishes or flaws occurring every 100 feet of material which shows that only two possible outcomes with fixed number of trials are present here, so the probability distribution that has the greatest chance of applying to this situation is a binomial distribution that summarizes the possibility that a value will take one of two independent values under a provided set of parameters.
