Answer:
y 3 4 5
___________________________________
P(Y) 0.1875 0.5 0.3125
Step-by-step explanation:
For this case we have the following statement : SOME DOGS ARE BROWN
And if we count the number of letters in the statement we have 16 possible letters. We can define the following random variable
Y= Length of word containing a selected letter.
For example the word DOGS have 4 of the total 16 letters, so we can define the probability using empirical approximation for each word like this:

And similar for the other words we have:



And we have the following distribution for the words in the statement with the random variable Y defined previously:
Word SOME DOGS ARE BROWN
________________________________________
y 4 4 3 5
P(Word) 0.25 0.25 0.1875 0.3125
And as we can see the possible values for Y are 3,4 and 5, so then we can define the probability distribution for Y like this:
y 3 4 5
___________________________________
P(Y) 0.1875 0.5 0.3125
Answer:
I'm sorry I just started 5th grade a week ago
So, you start out with 100 students. 85% are good students, so 85 good students. If 10 more good students were to join the school, then your total of 100 would increase by 10. 100+10=110. Your number of good students would also increase by 10. 85+10=95. To find the new percent, do division. 95/110 rounds to 86%.
Well, the angle looks like it is an obtuse angle, right? And we know that obtuse angles are greater than 90 degrees, so wouldn't the answer be A. 115 degree?
I think the answer is 115 degrees. Hope this helps!
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Below is the solution:
Rotating around the y-axis; solve for x.
<span>y = x/3
</span><span>x = 3y
</span>
<span>Find x^2
</span><span>x^2 = 9y^2
</span>
<span>Integrating it using the limits of 0 and 3, remember to add the pi and integrate 9y^2.
</span>
The answer is <span>81pi cubic units which is A. </span>