Math Answers

Five accounts are randomly sampled without replacement from a box of forty accounts. The

box contains thirty accounts that have a debit balance. What is the probability of selecting at

least one account with a credit balance?

Find the mean and variance of a random variable X whose distribution has probability generating moment function is

pr / 1 − (1 − p)r 0 < p < 1

How would a behaviourist teacher explain 1/2÷1/3?                        

11. Solve the system by using the substitution method:

y=(x+3)²-1

y=2x+5

A. (-3,-1) and (-1,3)

B. (-1,-3) and (3,-1)

C. (-3,1),(-1,3),(-1,-3) and (3,-1)

D.No solution! it is an inconsistent system

12. Solve the system by using the elimination method:

3x+y²=21

4x²-2y³=-2

A. (2,3) and (2,-3)

B. (-2,3) and (-2,-3)

C. (2,3),(2,-3),(-2,3) and (-2,-3)

D. No solution! It is an Inconsistent System

Systems Of Nonlinear Equations

-Solve the following equations.

1. { x+2y=0

{ x²+y²=5

2. { x+y=3

{ x²+y²=2

The average number of trailer trucks that passed by the South Road Properties in the morning is 60 trucks. What is the probability that exactly 65 trucks will pass by in the following morning?

1. Find the measure, to the nearest degree, of the acute central angle in the figure below.

(The radius is 21 and the arc length is 18.)

2 Explain what would happen to the measure of the central angle in the figure aboce if the radius were doubled (and the arc length remained unchanged).

‘Bhartdarshan’ is an Internet-based travel agency wherein customers can see videos of the

cities they plan to visit. The number of hits daily is a normally distributed random variable

with a mean of 10,000 and a standard deviation of 2,400.

a. What is the probability of getting more than 12,000 hits?

b. What is the probability of getting fewer than 9,000 hits?

Find the Maclaurin series for the function"f(x)=\\sqrt{(x^2+2-x)^5}"and its radius of convergence. 

A researcher claims that adult hogs fed a special diet will have an average weight of 200 pounds. A sample of 10 hogs has an average weight 198.2 pounds and standard deviation of 3.3 pounds. At a= 0.05, can the claim be rejected? Also, find the 95% confidence interval of the true mean?