John uses a random number generator to simulate the results of a coin toss. he assigns the number 0 to heads and the number 1 to tails. if 600 numbers are generated, how many heads can he expect?
a.100
b.200
c.50
d.300

answer:

  c.   4y -x = 8

step-by-step explanation:

each of the equations can be put into slope-intercept form (solved for y) as follows:

a: y = 4x +9

b: y = 4x -8

c: y = (1/4)x +2

d: y = 4x -4

the equations containing the term "4x" all describe parallel lines. the equation containing (1/4)x describes a line that intersects the given line. it is not parallel to the others.

answer:

inverse of given function = log(x)/log(3)

step-by-step explanation:

how to find the inverse of any function?

now, we solve the problem:

given : - y = 3^x

replacing the value of "y" with "x", we get,

x = 3^y

to solve for "y" we should take the "logarithm" for both sides

log (x) = y log(3)

or y = log(x)/log(3)

or f^(-1) (x) = log(x)/log(3)

answer:

21

step-by-step explanation:

sales tax is equal to the price times the sales tax rate

sales tax = price * 5%

                = 20 *.05

                = 1.00

the total price is equal to the original price plus the sales tax

total price = price + sales tax

                  = 20+1

                  =21