Answer:
If a and b are two events such that:
b⊂a
Then it is obvious that p(b)≤p(a)
where p denotes the probability of an event.
<em>" Because as one event is contained in the other that means it has possibility to contain more favourable outcomes than the other while the probability of both the events is calculated by taking the total number of outcomes to be equal "</em>
Let us consider an <u>example</u> as:
We roll a die;
so the total outcomes are: {1,2,3,4,5,6}.
Now let b denotes the event that the number is an even number less than 5.
Number of favourable outcomes( {2,4} )=2
p(b)= 2/6
let a denotes that the number is less than 5.
Then Number of favourable outcomes( {1,2,3,4} )=4
p(a)=4/6
clearly b⊂a
also we could see that p(b)<p(a)
17/56
So to make sure that you are subtracting right, you make the denominators the same. So the denominator is 56 because it is a common number for 7 and eight. And then whatever you do to the bottom you got to do to top so time seven by eight and 4 which is 49 and 24 so 49-24 is 17/56 so the answer would be this because you can’t simplify the answer down.
Let us denote the number of boys in the glee club with X and the number of girls with Y.There are 84 students in the glee club, which means that the following equation can be written:X+Y=84We also now that there are 12 more boys than girls, so:X=Y+12We can rewrite the first equation like:(Y+12)+Y=842Y+12=842Y=62Y=62/2=31X=31+12=43So, the ratio of the number of girls to the number of boys is: Y/X=31/43
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Answer:
D. 4/25
Step-by-step explanation:
To find probability, you multiply 4/10 by 4/10. You should get 16/100, which simplifies to 4/25.
Answer:
2x + 9 with a remainder of 45.
Step-by-step explanation:
If the divisor is x-5, use the divisor 5 in synthetic div.
Taking the coefficients 2, -1 and 4 from the dividend, we get:
------------------
5 / 2 -1 4
10 45
--------------------
2 9 49
This tells us that the quotient is 2x + 9 and that the remainder is 49.
