Math Answers

A projectile is launched vertically upward from the ground level with an initial velocity of 16 ft/s.

a. How long will it take for the projectile to hit the ground?

b. How long will the projectile be moving upward?

A boy in a hot air balloon drops his cellular phone when the balloon is 150 ft above the ground and rising at the rate of 10 ft/s.

a.How long will it take the cellular phone to reach the ground?

b. With what speed will it strike the ground?

A student obtained a score of 45 in Math and a score of 60 in Science. If the mean and standard deviation of the math scores are 26.4 and 7.2, respectively, while that of science are 42.5 and 12.6,

An extra-large pizza is circular with a diameter of 12 inches. Pizza sauce is spread on the pizza dough at a rate of 1.1 mL of pizza sauce per square inch (in²) of crust. How much pizza sauce (rounded to the nearest 1 mL) is required to cover the entire pizza, if a 1-inch crust is to be left around the edge of the entire pizza?

eLMS Practice Exercises

• Let P(x, y) be the statement “student x has taken class y”, where the domain for x consists of all students and y consists of all computer engineering courses at your school.

• Express each of the quantification in English sentences

1. ∀x ∀y P(x,y)

2. ∀x Ǝy P(x,y)

3. Ǝx ∀y P(x,y)

4. Ǝx Ǝy P(x,y)

The latest nationwide political poll indicates that for Indians who

are randomly selected, the probability that they are with alliance

ABC is 0.55, the probability that they are with alliance PQR is

0.30 and the probability that they are with alliance XYZ is 0.15.

Answer the following questions pertaining to a randomly chosen

group of 10 Indians.

What is the probabilities:

(i) None are with alliance ABC ?

(ii) 2 are with alliance XYZ ?

(iii) At least 8 are with alliance PQR ?

If we know that the roots of the cubic equation x³ - 61x² -8000 = 0 are in G.P., then find the roots of the equation.

n a game of gambling a player tossesa fair coin. Ifit falls head,he wins 100 cedis and if it

falls tail he loss 100 cedis. Aplayer with 800 cedis tossesthe coin six times. What is the

probability that he will be left with 600 cedis?

Samples of size 25 are selected from a population with a mean of 40 and a standard deviation of 7.5. What is the mean of the sampling distribution of sample means?

of 10 genes studied in yeast, 7 are found to form a network of metabolic interactions. If this set of 7 genes was chosen arbitrarily from the 10 that were studied, how many different sets would be possible? Show your calculation and the reasoning.a