Answer: OPTION B
Step-by-step explanation:
Let's call:
c: the number of cars.
m: the number of motorcycles.
Based on the given information, you can set up the following system of equations:
You can solve it by the Elimination method:
- Multiply the first equation by -4.
- Add both equations to cancel out the variable "c".
- Solve for "m":
(24 motorcycles)
- Substitute m=24 into any of the original equations ans solve for "c". Then:
(14 cars)
Answer:
1.
P(E1)=P(E2)=P(E3)=P(E4)=P(E5= )1/5
2.
P(E1)=0.4
P(E2)= 0.26
P(E3)=0.34
3.
No the probability assignments are invalid
Step-by-step explanation:
1
Total number of possible outcomes = 5
<u>Equation (4.3)</u>
0< P(Ei)<1
<u>Equation (4.4)</u>
P(E1) + P(E2) +........+P(En)=1
As the outcomes are equally likely therefore,
Probability for each outcome= P(Ei) = 1/5
2
Total number of outcomes = 50
Outcomes for event E(1)= 20
Outcomes or event E(2)= 13
Outcomes or event E(3) = 17
P(Ei)= (number of outcomes for event Ei/ Total number of outcomes)
P(E1)=20/50=0.4
P(E2)= 13/50=0.26
P(E3)=17/50=0.34
3
P(E1) .10,
P(E2) .15,
P(E3) .40,
P(E4) .20
0.1 +0.15+0.40+0.20=0.85<1
According to equation (4.4) the probability assignments are invalid as the sum of probabilities for all outcomes must be equal to 1.
Answer:
1/36
Step-by-step explanation:
6^-2 = 1/6^2 = 1/36.
Answer:
I’m gonna say it’s $223,537
Step-by-step explanation:
This is the concept of algebra, we are required to find a number,x, such that 87 decreased by three times a number is great than one hundred and sixty-five.
Supposed the number is x, three times the number will be:
3*x=3x
thus;
87-3x≥165
-3x≥165-87
-3x≥78
dividing both sides by -3 we get:
(-3x)/(-3x)≥78/(-3)
x≤-26
This implies that the number is less than or equal to 26
