Answer:
Step-by-step explanation:
A discrete variable is one which can be counted or which can be associted with the set of natural numbers.
A continuous variable is one which cannot be counted.
a. of unbroken eggs in a randomly chosenstandard egg carton
--Discrete
b. of students on a class list for a particular course who are absent on the first day of classes
----Discrete
c. of times a duffer has to swing at a golfball before hitting it
----Discrete
d. of a randomly selected rattlesnake
--Continuous
e. of royalties earned from the sale of a firstedition of 10,000 textbooks
--Continuous
f. of a randomly chosen soil sample
--Continuous
g. (psi) at which a randomly selected tennisracket has been strung
--Continuous
h. number of coin tosses required for threeindividuals to obtain a match (HHH or TTT)
---Discrete
Five items plus ten dollars
A direct proportion is any equation where y = mx+b. (i.e., a linear equation)
Each side of 3y = 1/2x can be divided by 3 to get y = 1/6x, satisfying the condition of y = mx+b. (b=0)
In this case, the constant of proportionality would be 1/6.
Answer:
-59
Step-by-step explanation:
f(x) = -2x - 7 and g(x) = -4x + 6.
f(g(x)) =
Replace x in the function f(x) with g(x)
= -2(-4x+6) -7
= 8x -12 -7
= 8x - 19
Let x = -5
f(g(-5) = 8(-5) -19
= -40 -19
= -59
Five-eights(5/8)of 64is 40 because 5/8×64=40
