Answer:
P(A) = 3/20
Step-by-step explanation:
P(A)=P(blue)P(head)=(3/10)(1/2)=3/20
as there are 10 cards in total, out of which 3 are blue so the probability to get the blue card is, P(blue) = 3/10. and the probability of getting a head when a coin is tossed is P(head) = 1/2.
So in total
P(A) = P(blue)*p(head) = (3/10)*(1/2) = 3/20 = 0.15
Answer:
1.Therefore the solution of given system is (3,4)
2.Therefore the solution of given system is (-1,2)
Step-by-step explanation:
1.
Given the system
2x +3y =18...........(1)
-2x+5y =14...........(2)
Adding the equation (1) and (2)
2x+3y-2x+5y= 18+14
⇔8y = 32
⇔
⇔y = 4
Putting the value of y in equation (1)
2x + 3. 4=18
⇔2x+12 =18
⇔2x = 18-12
⇔2x = 6
⇔x =3
Therefore the solution of given system is (3,4)
2.
Given the system
3x +4y = 5..........(a)
2x +7y =12...........(b)
Equation (a) ×2 - equation (b)×3
2(3x+4y)- 3(2x+7y) = 2.5 -12.3
⇔6x + 8y -6x -21y = 10-36
⇔ -13y = -26
⇔
⇔y = 2
Putting the value of y in equation (a)
3x +4.2 =5
⇔3x = 5 -8
⇔3x = -3
⇔x = -1
Therefore the solution of given system is (-1,2)
Answer: option D is the correct answer.
Step-by-step explanation:
Let the height of both cones be h
The radius of the base of a right circular cone is 7 times greater than the radius of another right circular cone. If the radius of the smaller cone is r, then the radius of the larger cone is 7r.
The formula for determining the volume of a cone is expressed as
Volume = 1/3(πr²h)
Volume of the smaller cone is
1/3(πr²h)
Volume of the larger cone is
1/3(π ×(7r)²h)
= 1/3(π ×49r²h)
the volume of the larger cone divided by the volume of the smaller cone is
1/3(π ×49r²h) / 1/3(πr²h) = 49/1 = 49
You just multiple how many types of vehicles and the property of the vehicle (standard, custom etc.) to get 12 ways
