A single number is chosen from 1 to 20. Find the probability that the number is an even or a number divisible by 7.
1/2
3/5
11/20
13/20
none of the above

Find the vertex, focus, and directrix of the parabola x² – 4y + 8 = 0
Vertex( 0, 2)
Focus (0, 3)
Directrix y = 1

Vertex( 0, 3)
Focus (0, 3)
Directrix y = 1

Vertex( 0, 2)
Focus (0, –3)
Directrix y = –1

Vertex( 0, 4)
Focus (0, 4)
Directrix y = 5

none f the above

Find the mayor axis o the ellipse: 9x² + 25y² = 225
2a = 25
2a =16
2a = 10
2a = 20
none of the above

Find the vertex, focus, and directrix of the parabola y² = –5x
vertex (0, 0)
focus (0, 5/4)
directrix x = –5/4

vertex (0, 0)
focus (–5/4, 0)
directrix x = 5/4

vertex (0, 0)
focus (–5, 0)
directrix y = 5

vertex (0, 0)
focus (0, 9/4)
directrix x = –9/4

none of the above

Find the center, vertices and foci of the ellipse: 12x² + y² = 36
Center (0, 0)
Vertices (0, ±5)
Foci (0, ±√3)

Center (0, 0)
Vertices (0, ±6)
Foci (0, ±√2)

Center (0, 0)
Vertices (±5, 0)
Foci (±√15, 0)

Center (0, 0)
Vertices (0, ±6)
Foci (0, ±√33)

none of the above

A jar contains 4 red marbles, 6 blue marbles, and 10 yellow marbles, and two marbles are drawn at random with replacement, what is the probability to select one blue and one not blue marbles?
4/25
21/100
1/50
3/20
none of the above

The nth term of a Geometric Sequence with first term a1 and common ratio r is:
an = a1rn
an = a1r(n –1)
an = 2a1r(n +1)
an = a1r(n +1)
none of the above

An urn contains 8 white balls, 2 green balls, and 6 pink balls. If 2 balls are drawn at random without replacement, what is the probability to drawn 2 green balls?
1/15
1/120
7/30
7/15
none of the above

An equation in three variables (x, y, z) represents
a line
a sphere
a plane
a cylinder

Solve the system of equations by the Elimination Method:
x – 2y = 1
2x – 5y = –2

Find the foci and the asymptotes of the hyperbola: y2 – 4y – 4x2 – 24x – 36 = 0
Foci (–4 ±√13, –2)
Asymptote: 3x – 2y = –8
Asymptote: 3x + 2y = –16

Foci (3 ±√5, –1)
Asymptote: 2x – 3y = 9
Asymptote: 2x + 3y = 3

Foci (–3, 2 ±√5)
Asymptote: 2x – y = –8
Asymptote: 2x + y = –4

Foci (2 ±√13, –1)
Asymptote: 2x – 3y = 9
Asymptote: 2x + 3y = 9

none of the above

A set of cards has 5 red cards and 5 black cards. If 3 cards are selected at random, what is the probability to select at least 1 black card.
7/8
1/2
117/125
1/8
none of the above

A set of cards has 6 red cards and 4 black cards. If 3 cards are selected at random, what is the probability to select at least 1 red card.
91/216
7/8
98/125
117/125
none of the above

The product of two matrices A and B is defined if and only if:
matrices A and B have the same order

matrices A and B have nonzero elements

the number of columns of the first matrix A is equal to the number of rows of the second matrix B

the number of rows of the first matrix A is equal to the number of columns of the second matrix B

none of the above

A single number is chosen from 1 to 20. Find the probability that t...