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A parabola can be represented by the equation y squared is equal to 12 x Which equation represents the directrix?

A
x is equal to 3
B
x is equal to negative 3
C
y is equal to negative 3
D
y is equal to 3
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A standard deck of 52 playing cards contains 13 cards in each of four suits: hearts, diamonds, clubs, and spades. Four cards are drawn from the deck at random. What is the approximate probability that exactly three of the cards are diamonds?

A
4 percent
B
11 percent
C
44 percent
D
1 percent
43

Jaxon has a bag of marbles. He draws one marble from the bag. Before drawing another marble from the bag, what could Jaxon do to ensure that the events are independent of each other?

A
return the marble he initially drew from the bag
B
add more marbles to the bag
C
keep the marble he initially drew from the bag
D
remove all marbles that are the same color as the first one
44

The probability for event cap A is 0 point 3 , the probability for event cap b is 0 point 6 , and the probability of events cap A or cap b is 0 point 8 Why are the events not mutually exclusive?

A
The sum of cap p times cap A and cap p times cap b is less than cap p times open paren cap A or cap b close paren .
B
The product of cap p times cap A and cap p times cap b is not equal to cap p times open paren cap A or cap b close paren .
C
The product of cap p times cap A and cap p times cap b is less than cap p times open paren cap A or cap b close paren .
D
The sum of cap p times cap A and cap p times cap b is not equal to cap p times open paren cap A or cap b close paren .
45

Sphere cap A has a radius of 24 centimeters, and sphere cap b has a diameter of 42 centimeters. The radius of sphere cap A is multiplied by what factor to produce the radius of sphere cap b ?

A
8 sevenths
B
7 fourths
C
4 sevenths
D
7 eighths
46

The volume of a cone is 3 pi x cubed cubic units and its height is x units. Which expression represents the radius of the cone’s base, in units?

A
9 pi x squared
B
3 pi x squared
C
6 x
D
3 x
47

What is the length of line segment LJ ?

A
18 units
B
15 units
C
9 units
D
12 units
48

What is the length of line segment SA ?

A
3 ft
B
1 point 8 9 ft
C
2 point 4 3 ft
D
7 ft
49

Which point will lie closest to cap b ?

A
cap s
B
cap p
C
cap q
D
cap r
50

What is the probability that a randomly selected car with no 4 -wheel drive has third-row seats?

A
0 point 7
B
0 point 3
C
0 point 8
D
0 point 4

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