1) Subject identification numbers in a certain scientific research project consist of three digits followed by two letters and then four more digits

1) Subject identification numbers in a certain scientific research project consist of three digits followed by two letters and then four more digits. Assume repetitions are not allowed within any of the three? groups, but digits in the first group of three may occur also in the last group of four. How many distinct identification numbers are? possible?

2. Refer to the table below. Of the 36 possible? outcomes, determine the number for which the sum? (for both? dice) is between 7 and 11.

Die 1 Die 2

1 (1,1) ?(1,2) ?(1,3) ?(1,4) ?(1,5) ?(1,6)

2 (2,1) (2,2) (2,3) (2,4) (2,5) ?(2,6)

3 ?(3,1) ?(3,2) ?(3,3) ?(3,4) ?(3,5) ?(3,6)

4 ?(4,1) ?(4,2) ?(4,3) ?(4,4)?(4,5) ?(4,6)

5 ?(5,1) ?(5,2) ?(5,3) ?(5,4) ?(5,5) ?(5,6)

6 ?(6,1)?(6,2) ?(6,3) ?(6,4) ?(6,5) ?(6,6)

There area____ different ways the sum can be between 7 and 11.

3. The total surface area of a? cube, expressed in square? centimeters, has the same value as the? cube's volume, expressed in cubic centimeters. Compute the? length, in? centimeters, of a side of the cube.

The cube has side lengths of _____ cm.

4. Suppose carpet for an 8 ft by 12 ft room costs ?$400. Find the cost to carpet a room 24 ft by 36 ft.

The cost to carpet the room is ?$______

5. Assuming that boy and girl babies are equally? likely, what would be? Kathy's probability of having at least two daughters if she were to have four children? altogether? (You may want to use a tree diagram to construct the sample? space.)

The probability is ____

6. Seven people ?(three women and four men?) arrange themselves randomly in seven consecutive seats in a row. Complete parts? (a) and? (b) below.? (Hint: The denominator of the probability fraction will be 7?!=5,040?, the total number of ways to arrange seven ?items.)

(a) Determine the number of ways in which the described event can occur.

(b) Determine the probability of the event.

7. If two distinct numbers are chosen randomly from the set ?{−2?, −5/4?, −1/6?, ?0, 1/4?, 4/5?, 6?}, find the probability that they will be the slopes of two perpendicular lines.

The probability is ___

8. The upper deck at a baseball stadium has? produced, among other? complaints, displeasure with its steepness. It is 130 ft from home plate to the front of the upper deck and 230 ft from home plate to the back. The top of the upper deck is 70 ft above the bottom. What is its? slope?

The slope of the upper deck is__

9. Find an equation of the line that satisfies the given conditions.

Through ?(0.4?,0.1?); vertical

The equation of the line that satisfies the given conditions is _____

10. Write an equation for the horizontal line that passes through ?(11?,9?). Give an answer in? slope-intercept form? (if possible).

The equation ____