It will take Mallory 40 minutes to get to the airport by train.
Step-by-step explanation:
Given,
Time taken by car = 120 minutes
Time taken by train = t
According to given statement;
Time taken by car = 3 times time taken by train

Dividing both sides by 3

It will take Mallory 40 minutes to get to the airport by train.
Keywords: division, multiplication
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Normally when dealing with coins the probability of getting heads or tails is 0.5 each. However in this case since its an unfair coin, the probability of getting heads is 0.2.
H - head
T - tails
R - red marble
pr (H) = 0.2
urn
6 red and 4 blue
pr (T) = 0.8
urn
3 red and 5 blue
when heads is obtained
red - 6/10 -0.6
blue - 4/10 - 0.4
therefore when multiplying with 0.2 probability of getting heads
pr (R ∩ H) red - 0.6*0.2 = 0.12
when tails is obtained
red - 3/8 - 0.375
blue - 5/8 - 0.625
when multiplying with 0.8 probability of getting tails
pr (R ∩ T) red - 0.375 * 0.8 = 0.3
using bayes rule the answer can be found out,
the following equation is used;
pr (H | R) = pr (R ∩ H) / {pr (R ∩ H) + pr (R ∩ T)}
= 0.12 / (0.12 + 0.3)
= 0.12 / 0.42
= 0.286
the final answer is 0.286
Answer:
see below
Step-by-step explanation:
The first step is to combine like terms
4x -12 + 2x
6x -12
Then determine the number of terms
2 terms so it is a binomial
For this case, the first thing you should know is the number of degrees that a complete circumference has.
The number of degrees of the full circle is 360 degrees
Therefore, the fraction that represents 270 degrees is:
270/360
Answer:
270/360
option D