Answer:
No of sample space, n(s)=8
no of red card =2
no of yellow card = 3
no of favourable cases n(e)=5
Probability of getting red and yellow card P(e)=n(e)/n(s)
=5/8
Answer:
Number of full size cars = 900
Step-by-step explanation:
The ratio of medium size cars to compacts is 7 to 5 and the ratio of compacts to full-size cars is 8 to 9. Since compact cars are there in both ratios , we need to make the number in the ratio for compact cars to be the same.
Multiply by 8 on numerator and denominator
Multiply numerator and denominator by 5.
Ratio of medium, compact and full size are in ratio 56,40,45.
Total number of cars =2820.
(56 + 40 + 45)x = 2820
x =
x = 20
Number of full size cars = =900
Move all terms not containing z to the right side of the equation.
Z=5
12 sqrt 28
The square root of 28 can be broken up into:
sqrt 7 * sqrt 4
Simplify the square root of 4:
sqrt 7 * 2
12 * 2 * sqrt 7
24 * sqrt 7
24 sqrt 7
Answer:
B) -3
Step-by-step explanation:
The zeros of the function are found easily from the factors. They are 6 and -12. The x-coordinate is halfway between them, at (6 + (-12))/2 = -6/2 = -3.
If you want a formula, consider a quadratic with roots (zeros) p and q. Then it factors as
... y = (x -p)(x -q)
The line of symmetry through the vertex is also the line of symmetry between the roots, so has x-coordinate:
... x = (p+q)/2
___
In your problem, you have p=6, q=-12, so x = (p+q)/2 = -6/2 = -3 is the line of symmetry and the x-coordinate of the vertex.