Answer:
4m^2-3mn^2+5
Step-by-step explanation:
Answer:
A is 10 dollar cheaper than B
Step-by-step explanation:
A : 40 dollars plus 45*2=90
90+40= 130 dollars
B:100 dollars 45*1=45
100+45= 145 dollars
Answer:
-8
Step-by-step explanation:
Answer:
r < 35 or r ≥ 43
Step-by-step explanation:
We are told that when the bus driver leaves her first stop by 7:00 a.m., her route will take less than 35 minutes.
Since the time it takes to drive the route is r, then;
r < 35
Also, If she leaves after 7:00 a.M., she estimates that the same route will take no less than 43 minutes. Thus;
r ≥ 43
Thus;
r < 35 or r ≥ 43
The tree diagram for the probability is shown below
P(Clay|Positive) is read 'Probability of Clay given the result is Positive'.
This is a case of conditional probability.
The formula for conditional probability is given as
P(Clay|Positive) = P(Clay∩Positive) ÷ P(Positive)
P(Clay∩Positive) = 0.21×0.48 = 0.1008
P(Positive) = P(Rock∩Positive) + P(Clay∩Positive) + P(Sand∩Positive)
P(Positive) = (0.53×0.53) + (0.21×0.48) + (0.26×0.75)
P(Positive) = 0.2809 + 0.1008 + 0.195
P(Positive) = 0.5767
Hence,
P(Clay|Positive) = 0.1008÷0.5767 = 0.175 (rounded to 3 decimal place)