Math Answers

From past experience, a company has found that in a box of four triple-A batteries, 74% contain no defective battery, 7% contain one defective battery, 4% contain two defective batteries, 6% contain three defective batteries, and 9% contain all defective batteries. Calculate the mean, variance, and standard deviation for the defective batteries

The scale drawing is 4 cm:5 m. Give the length, width, and area of the actual room. ( 8 cm & 12 cm

x(dy)/(dx)=x^(2) + 5y

x(dy)/(dx)=x^(2) + 5y

Decompose

(i)

(x^2+X+1)/(X+3)(x^2-x+1)

into partial fractions (show all the steps).

Translate these statements into logical expressions using predicates, quantifiers, and logical connectives. First, let the domain consists of the students in your class.

A student in your class does not want to be rich.

[LET R(x): X WANTS TO BE RICH]

a principal at a school.claims that the students in his school are above average intelligence. A random sample of forty student's IQ score have a mean of 112.5. the mean population IQ is 100 with a standard deviation of 15. use the 5% level of significance.

Using Greens theorm ..integration (3x+4y)dx+(2x-3y)dy for a circle

Which of the following events are equal?

(a) A = {1, 3};

(b) B = {x | x is a number on a die};

(c) C = {x | x2 − 4x +3=0};

(d) D = {x | x is the number of heads when six coins

are tossed}.

Construct a Venn diagram to illustrate the pos-

sible intersections and unions for the following events

relative to the sample space consisting of all automo-

biles made in the United States.

F : Four door, S : Sun roof, P : Power steering.