For the chance to be team captain, the numbers 1-30 are put in a hat and you get two chances to pick a number, without replacement. which formula correctly shows how to find the probability that you choose the number 1 and then 2?

The formula to find the probability is P(A ∩ B)=P(B | A)P(A) and P(A ∩ B) = .

Step-by-step explanation:

Total numbers in the hat = 30

Let A be the event of picking number 1 and B be the event of picking number 2 then without replacement.

Clearly, the probability of the second event depends on the first event.

So, P(A ∩ B)=P(B | A)P(A)

P(A) =

P(B | A) means probability of event B with the condition that event A has happened.

So, the first number picked is 1.

Therefore, P(B | A) =

P(A ∩ B)=

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

total amount to be paid = $19.5

step-by-step explanation:

given ,

original price = $25.99

discount = 25%

discount amount = 25% of original price

discount amount = 25/100   * 25.99

discount amount = $6.49

hence , the total amount to be paid = original price - discount amount

                                                            = $25.99 - $6.49

                                                            =$19.5

total amount to be paid = $19.5