Answer:
(1) Not conditional, 5/8
(2) Not conditional, 1/12
(3) Conditional, 1/18
Step-by-step explanation:
Fraction of cars sold
Altima = 1/2
Maxima = 1/3
Sentra = 1 - (1/2 + 1/3) = 1 - 5/6 = (6 - 5)/6 = 1/6
Fraction of cars sold with moon roof
Altima = 3/4 × 1/2 = 3/8
Maxima = 1/2 × 1/3 = 1/6
Sentra = 1/2 × 1/6 = 1/12
(1) Probability (a randomly selected car has a moon roof) = 3/8 + 1/6 + 1/12 = (9+4+2)/24 = 15/24 = 5/8
(2) Probability (a randomly selected car has a moon roof given it is Sentra) = 1/12
(3) Probability (a randomly selected car is a Maxima if it has a moon roof) = 1/3 × 1/6 = 1/18
A conditional probability uses if (as a condition) in making statements or asking questions
An unconditional probability makes statement or ask question without the use of condition (if)
1) Calculate the whole arc (complete circumference):
Circumference = 2π*radius
radius = 6 foot
=> Circumference = 2 * 3.14 * 6 foot = 37.68
2) Calculate the time to make a whole round, by making a proportion with the two ratios:
ratio 1 = x / 37.68 =
ratio 2 = 3 / 14.13
ratio 1 = ratio 2 =>
x 3s
---------- = -----------
37.68 ft 14.13 ft
=> x = 3 * 37.68 / 14.13 = 8 s
3) Calcuate the angular velocity as the 2π rad (which is the total angle of a circle) divided by the time.
So the angular velocity is 2π rad / 8 s = 2*3.14 foot / 8 s = 0.785 rad / s
Answer: 0.785 rad / s
n(A) = 26
Solution:
Let us first define the cardinal number of the set.
Cardinal number of the set:
The number of distinct elements in a finite set is called its cardinal number. It is denoted as n(A).
Given set: A = {a, b, c, .... z}
We know that, there are 26 elements in the alphabet "a to z".
Number of elements in the set A = 26
Hence n(A) = 26.
These lines are perpendicular because y = -6 is a horizontal line with a slope of 0 and x = 6 is a vertical line with an undefined slope
Answer:The simplified expression that represents the uncle's age is
4y + 12
Step-by-step explanation:
Let y represent your age.
Your sister is 3 years older than you. This means that your sister's age is y + 3
Your uncle is 4 times older than your sister. It means that the age of your uncle would be
4(y + 3)
The simplified expression that represents your uncle's age would be
4y + 12
