Question

Please help!!

1) If N is the set of natural numbers that are factors of 20, choose the selection below that correctly shows this set in roster form
A) {2,4,5,10}
B) {2,4,6,8,10,12,14,16,18,20}
C) {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}
D) {1,2,4,5,10,20}

2) Suppose U={1,2,3,4,5,6,7,8,9,10} is the universal set, and P={2,4,6,8,10}. What is P’?
A) {1,2,3,4,5,6,7,8,9,10}
B) {3,5,7,9}
C) {1,3,5,7,9}
D) {2,4,8}

3) Starting from 130 feet away, a person on bicycle rides towards the check point and then passes it. The Rider is traveling at a constant rate of 25 ft./s. The distance between the bicycle and the checkpoint is given by the equation d=|130-25t|. At what times is the bike 15 feet away from the checkpoint?
A) 4.6 sec and 9.2 sec
B) 2.9 sec and 5.8 sec
C) 4.6 sec and 5.8 sec
D) 2.9 sec and 3.3 sec

4) Suppose P={0,1,2,3,4,5,6,7,8,9} and V={2,4,6,8,10,12,14,16,18,20}. What is P/V
A) {0,1,2,3,5,6,7,8,910,12,14,16,18,20}
B) {0,1,3,5,7,9}
C) {10,12,14,16,18,20}
D) {2,4,6,8}

5) The candy store has two containers of hard candy. One container has cherry, blueberry, and raspberry. The second container has orange, lime, blueberry, and lemon. Which set represent all flavors of candy in the containers
A) Cherry, blueberry, blueberry, raspberry, Orange, lime, lemon}
B) {Cherry, blueberry, raspberry, Orange, lime, lemon}
C) {blueberry}
D) {Blueberry, raspberry}

6) of 350 male athletes at the high school, some play only basketball, some play only baseball, and some do both. If 250 of the males play basketball and 120 play both sports how many in the mail play baseball.
A) 100
B) 220
C) 130
D) 120

Answer 1

ANSWER TO QUESTION 1

The set of natural numbers that are factors of 20 are natural numbers that divides 20 exactly without a remainder.

These natural numbers are;

{
`1,2,4,5,10,20`}

Therefore the correct answer is D

ANSWER TO QUESTION 2

Given that the universal set U has elements

{
`1,2,3,4,5,6,7,8,9,10`}

and the set P also has elements

{
`2,4,6,8,10`}

The elements of P' are the elements that are in the universal set but are not in set P.

These elements are;

{
`1,3,5,7,9`}

The correct answer is C

ANSWER TO QUESTION 3

The distance is given by the absolute value equation


`d=|130-25t|`

If the is 15 feet away then
`d=15`

This implies that;


`15=|130-25t|`

We now split the absolute value sign to obtain,


`15=130-25t`

or


`-15=130-25t`

We now solve for t to obtain;


`15-130=-25t`

or


`-15-130=-25t`


`(115)/(25)=t`

or


`(145)/(25)=t`

This gives us


`4.6=t`

or


`5.8=t`

The correct answer is C

ANSWER TO QUESTION 4

Given

P={
`0,1,2,3,4,56,7,8,9`}

and

V={
`2,4,6,810,1216,18,20`}

P
`\cap`V={2,4,6,8}

P\V are elements in P only .

This means that we have to take out the elements of the intersection of the two sets from P.

P\V ={0,1,3,5,5,7,9}

The correct answer is B

ANSWER TO QUESTION 5

The correct answer is B.

In listing the elements of a set, we do not repeat the element. In order words we list only distinct elements.


Blueberry is repeating in both sets but we have to list it once.

ANSWER TO QUESTION 6.

The correct answer is 220

We were told that 250 play basket ball

If 120 play both sports, then

250-120=130

play only basketball

Now the number of people who play only baseball


`350-250=100`

But the number of people who play baseball


`120+100=220`

see diagram