Answer:
The Answer is A. 83%
Step-by-step explanation:
The Probability a certain event= 1- Probability of that certain event not to happen.
According to this, it is true that:
Probability (not rolling 5)=1- P(rolling 5) = 1=60/350= 1-6/35 =35-6/35=29/35=0.83
Step-by-step explanation:
There are a total of 4 + 1 + 9 + 6 = 20 cookies. So the probabilities of each type for a random cookie are:
P(oatmeal raisin) = 4/20 = 1/5
P(sugar) = 1/20
P(chocolate chip) = 9/20
P(peanut butter) = 6/20 = 3/10
Answer:
1260
Step-by-step explanation:
180 x 2
Answer:
Fn= 174.9 N : Magnitude of the net force the people exert on the donkey.
Step-by-step explanation:
We find the components of the forces in x-y-z
Force of Jack in z =F₁z=90.5 N in direction (+z)
Force of Jill in x = F₂x= -82.3*cos45°= - 58.19 N (-x)
Force of Jill in y =F₂y=-82.3*sin45°= + 58.19 N (+y)
Force of Jane in x =F₃x=125*cos45°= + 88.4 N (+x)
Force of Jane in y =F₃y=125*sin45°= + 88.4 N (+y)
Calculating of the components of the net force the people exert on the donkey.
Fnx= F₂x+F₃x=( - 58.19+ 88.4 )N=30.2N (+x)
Fny= F₂y+F₃y=( 58.19+88.4 ) = 146.59 N (+y)
Fnz =F₁z=90.5 N (+z)
Calculating of the magnitude of the net force the people exert on the donkey.
![F_{n} =\sqrt{(F_{nx})^{2}+(F_{ny}) ^{2} +(F_{nz}) ^{2} }](https://tex.z-dn.net/?f=F_%7Bn%7D%20%3D%5Csqrt%7B%28F_%7Bnx%7D%29%5E%7B2%7D%2B%28F_%7Bny%7D%29%20%5E%7B2%7D%20%2B%28F_%7Bnz%7D%29%20%5E%7B2%7D%20%20%20%7D)
![F_{n} =\sqrt{(30.2)^{2}+( 146.59) ^{2} +(90.5) ^{2} }](https://tex.z-dn.net/?f=F_%7Bn%7D%20%3D%5Csqrt%7B%2830.2%29%5E%7B2%7D%2B%28%20146.59%29%20%5E%7B2%7D%20%2B%2890.5%29%20%5E%7B2%7D%20%20%20%7D)
![F_{n} = 174.9 N](https://tex.z-dn.net/?f=F_%7Bn%7D%20%3D%20174.9%20N)
8(number of soup) times 3 =x (number of vegetable cans)