### Probability Distribution, Ordered Pair, Equation, Set, Repeats, Point, Perpendicular, Dice

The key terms in this Mathematics course include Ordered Pair, Equation, Set, Repeats, Point, Perpendicular, Fair Dice, Probability, Sum, Radio Station, Call Letters, Ordinary Deck, Replacement, Probability Distribution, Random variable, coins, Tails, Deck of Cards, Slope, Red card, Diamond, Maths Exam

Determine whether the given ordered pair is a solution of the equation. x^{2} + y^{2} – 8x + 8y = -7; (4, -1)

Yes

**No** –**Correct**

Question 2

In how many ways can 3 letters be chosen from the set … if order is important and no repeats are allowed?

**120** –**Correct**

216

20

18

Find an equation of the the line through the point (5, 2) and perpendicular to -5x + 7y = 31.

**7x + 5y = 45** –**Correct**

– 5y + 7x= 31

7x – 5y = 45

-5x – 7y = 45

If two fair dice are rolled, find the probability of a sum of 6 given that the roll is a double.

**1/6** –**Correct**

1/4

1/3

1/5

How many different 4-letter radio station call letters can be made if repeats are allowed and the first letter must be K.

1000

78

456,976

**17,576** –**Correct**

If two cards are drawn without replacement from an ordinary deck, find the probability that the second card is a spade, given that the first card was a spade.

**4/17** –**Correct**

11/12

3/13

11/51

Prepare a probability distribution for the experiment. Let x represent the random variable, and let P represent the probability.

Three coins are tossed, and the number of tails is noted.

**D **–**Correct!**

One card is selected from a deck of cards. Find the probability of selecting a red card or a diamond.

3/4

0

**1/2** –**Correct**

1/4

A family has five children. The probability of having a girl is . What is the probability of having exactly 2 girls and 3 boys?

**.3125** –**Correct**

.0625

.6252

.0312

Find the slope of the line through (4, -7) and (6, 3)

**5** –**Correct**

Undefined

2

10

Determine whether the given ordered pair is a solution of the equation. x^{2} + y^{2} – 8x + 8y = -7; (4, -1)

Yes

**No** –**Correct**

In how many ways can 3 letters be chosen from the set if order is important and no repeats are allowed?

**120** –**Correct**

216

20

18

Find an equation of the the line through the point (5, 2) and perpendicular to -5x + 7y = 31.

**7x + 5y = 45** –**Correct**

– 5y + 7x = 31

7x – 5y = 45

-5x – 7y = 45