Mathematics Quiz march 4 2023

A conic section whose eccentricity is less than one is known as:

• circle

• parabola

• hyperbola

• ellipse

Find the area of the polygon with vertices at 2 + 3i, 3 + i, -2 - 4i, -4 - i, -1 + 2i.

• 47

• 25/2

• 25

• 47/2

A statue 3 m high is standing on a base of 4 m high. If an observer's eye is 1.5 m above the ground, how far should he stand from the base in order that the angle subtended by the statue is a maximum?

• 3.41 m

• 3.51 m

• 3.71 m

• 4.41 m

A group of five friends went out to lunch. The total bill for the lunch was $53.75. Their meals all cost about the same, so they wanted to split the bill evenly. Without considering tip, how much should each friend pay?

• $11.25

• $10.75

• $12.85

• $11.50

A tangent to a conic is a line which

• passes inside a conic

• touches the conic at only one point

• is parallel to the normal

• touches the normal

How many ancestors does a set of triplets have in the eleven generations before them? Assume there are no duplicates.

• 4085

• 4005

• 4009

• 4094

The area enclosed by the ellipse 4x² + 9y² = 36 is revolved about the line x = 3, what is the volume generated?

• 370.3

• 360.1

• 355.3

• 365.1

Chona, a Golden Retriever, gained 5.1 pounds this month. If Chona now weighs 65.1 pounds, what is the percent increase in Chona's weight?

• 5.9%

• 6%

• 8.5%

• 9.1%

Melissa is four times as old as Jim. Pat is 5 years older than Melissa. If Jim is y years old, how old is Pat?

• 4y + 5

• 5y + 4

• 4 × 5y

• y + 5

From past experience, it is known 90% of one-year-old children can distinguish their mother's voice from the voice of a similar sounding female. A random sample of 20 one-year-olds is given this voice recognition test. Let the random variable X denote the number of children who do not recognize their mother's voice. Find the variance of X.

• 1.44

• 1.8

• 1.34

• 2.04