Answer:
44.4%
Step-by-step explanation:
To calculate this, we proceed as follows.
we use the probability equation below;
P(A|B) = P(A and B) / P(B)
Applying the above to the scenario at hand;
P(red | car) = P(red and car) / P(car)
P(red and car) = 40% or simply 40/100 = 0.4
P(car) = 90% = 90/100 = 0.9
P(red | car) = 0.4/0.9
P(red | car) = 0.4444 which is = 44.44% ; to the nearest tenth of a percent = 44.4%
Answer:
A. y =
- 1
Step-by-step explanation:
Given parameters:
Equation of the line:
5x + 2y = 12
Coordinates = -2, 4
Unknown:
The equation of the line parallel to this line = ?
- To solve this problem, first, we need to find the slope of the given line.
Every linear equation have the formula: y = mx + c
m is the slope of the line, c is the y- intercept
5x + 2y = 12
Express this equation as y = mx + c
2y = -5x + 12
y =
+ 6
The slope of this line is 
- Now, any line that is parallel to another will not cut or cross it at any point. This simply implies they have the same slope.
Slope of the line parallel is 
- Our new line will also take the form y=mx + c,
Coordinates = -2, 4, x = -2 and y = 4
m is 
Now let us solve for C, the y-intercept;
4 = - 2 x
+ C
4 = 5 + C
C = -1
The equation of the line is therefore;
y =
- 1
Answer:
A 6x+11 that is the answer
The line, shadow and the height form a right angled triangle so we can apply the Pythagoras theorem here:-
11^2 = h^2 + 8^2 where h = height of the kite
h^2 = 11^2 - 8^2
h^2 = 57
h = 7.55 ft to the nearest foot Answer