Which equation has a constant of proportionality equal to 0.25
1 answer:
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Answer:
a) 0.280
b) 0.300
c) No, preference is not independent of gender. Since the P(N) (0.29) is not equal to P(N|M) (0.28) and/or P(N|F) (0.30), the preference and gender are not completely, statistically independent. It's very close though.
Step-by-step explanation:
Let the probability that the somebody surveyed is a male be P(M)
Let the probability that somebody surveyed is female be P(F)
Let the probability that somebody surveyed picked the name-brand milk be P(N)
Let the probability that somebody surveyed picked the store-brand milk be P(St)
Let the probability that somebody surveyed picked the something else be P(So)
a) Given that an American is a male, what is the probability that he prefers name-brand milk = P(N|M) = 319/1138 = 0.280
b) Given that an American is a female, what is the probability that she prefers name-brand milk = P(N|F) = 341/1138 = 0.300
c) To investigate if the preference and gender are independent or not, we need the P(N)
P(N) = probability that an average an Average American (male or female) will prefer a nam-brand milk = 660/2276 = 0.290.
Since the P(N) (0.29) is not equal to P(N|M) (0.28) and/or P(N|F) (0.30), the preference and gender are not statistically independent. It's very close though.
<h2>Hello!</h2>
The answer is:
Ava and Kelly will be 3/4 mile apart after 0.375 hours.
<h2>Why?</h2>To calculate when will Ava and Kelly be 3/4 mile apart, we need to write the equations for both Ava's and Kelly's positions.
Writing the equations we have:
For Ava:
For Kelly:
We need to calculate when Kelly will be 3/4 mile apart becase is running faster than Ava, so, writing the equation we have:
Now, substituting the equation for Ava into the equation for Kelly, we have:
To prove that the result is correct, we just need to substitute the obtained value for time into both equations, so, substutiting we have:
For Ava:
For Kelly:
There is a difference of 0.75 miles or 3/4 mile between Ava and Kelly, so, the obtained value for time is correct.
Therefore, we have that Ava and Kelly will be 3/4 mile apart after 0.375 hours.
Have a nice day!