A box contains three cards. On one card there is a question mark (Upper Q), on another card there is a pear (Upper P), and on the third card there is a moon (Upper M). Two cards are to be selected at random with replacement. Complete parts (a) through (e) below. a) Determine the number of sample points in the sample space.

Explanation:

The only question shown is a) Determine the number of sample points in the sample space.

The box contains three cards. They are each marked. The representations of the marks are the letters Q, P and M. Thus, the cards are marked:

Two cards are to be selected at random with replacement.  Thus, the possibilities are:

First card, second card

   Q                   P

   Q                   M

   P                    Q

   P                    M

   M                   Q

   M                   P

Therefore, the sample space contains 6 pairs (points): QP, QM, PQ, PM, MQ, MP.

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.

answer: the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

the given rate of interest i= 85%

in calculating the monthly payment for a loan with an interest rate compounded monthly, the value of the interest rate per period we use in the formula must be in decimal form.

to convert it in decimal, we divide it by 100, we get

hence, the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.