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)
Answer:
y+7 = -3 ( x-4)
Step-by-step explanation:
First find two points on the graph to find the slope
( 1,2) and ( 3,-4)
The slope is given by
m = ( y2-y1)/(x2-x1)
m = ( -4-2)/(3-1)
= -6/2
=-3
We can use the point slope form
y - y1 = m(x-x1) where m is the slope and x1,y1 is a point on the line
We have two choices with a slope of -3
We can either use and x coordinate of -2 or 4
for -2, the y coordinate is not shown
for 4 , the y coordinate is -7
Using ( 4, -7) and m = -3
y--7 = -3( x- 4)
y+7 = -3 ( x-4)
The transformations are
- (b) A vertical shift 16 units downward.
- (d) A horizontal shift 16 units to the right
<h3>How to determine the transformation?</h3>
The functions are given as:
f(x) = x
g(x)= x - 16
When a function is shifted right, the transformation rule is:
(x, y) = (x - h, y)
This means that the transformation is (d) A horizontal shift 16 units to the right
Since the parent function is a base linear function.
The transformation can also be represented as:
(x, y) = (x, k - h)
This gives
g(x)= x - 16
This means that the transformation is (b) A vertical shift 16 units downward.
Hence, the transformations are (b) and (d)
Read more about transformation at:
brainly.com/question/11709244
#SPJ1
Answer:
The width of the photo is
.
Step-by-step explanation:
From the given figure it is notices that the total width of the frame is

The photo is covered by a frame border and the width of the border is

To find the width of the photo we have to subtract the width of upper frame border and lower frame border from the total width of frame.
Width of the photo is




Therefore the width of the photo is
.
Answer:
A paper entitling you to 10 percent off of a meal in a restaurant is an example of a coupon.