Answer:
-34/3
Step-by-step explanation:
2/3(1/4x-2)=1/5(4/3x-1)
2/12x-4/3=4/15x-1/5
1/6x-4/3=4/15x-1/5
1/6x-4/15x=-1/5+4/3
-1/10x=-3/15+20/15
-1/10x=17/15
x=(17/15)/(-1/10)
x=(17/15)(-10/1)
x=-170/15
x=-34/3
We are given a table of frequencies, so in order to find probability associated with it, we need to start by adding all the numbers in the frequency, since that would give us the totals:
We add :
7.7 + 8.2 + 24.1 + 25.6 + 51.5 + 29. 4 = 146.5
Now, notice that they ask you to find the probability associated with a voter chosen at random to be in a group DIFFERENT from the range 21 to 24, That means the complementary of this range, which is therefore
146.5 - 8.2 = 138.3 (since 8.2 is the frequency for the 21 - 24 years/age range.
Then the probability is the quotient:
138.3 / 146.5 = 0.9440273 which in percent terms is 94.4 %
If you teacher wants the probaility in decimal (math) form, use 0.944.
If he/she wants it in percent form, use 94.403% (using
5.3333333 repeating for one hour and multiply that by 5 and get........... 26.5 I think It's to dark for me to right anything I'm going off the top of my head
9514 1404 393
Answer:
D. 12
Step-by-step explanation:
There are a number of ways to find the area of this rectangle. Perhaps the most straightforward is to find the lengths of the sides and multiply those. The distance formula is useful.
d = √((x2 -x1)^2 +(y2 -y1)^2)
Using the two upper-left points, we find the length of that side to be ...
d = √((3 -0)^2 +(3 -0)^2) = √(9 +9) = √18 = 3√2
Similarly, the length of the lower-left side is ...
d = √((-2 -0)^2 +(-2 -0)^2) = √(4+4) = √8 = 2√2
Then the area of the rectangle is ...
A = LW
A = (3√2)(2√2) = 3·2·(√2)^2 = 3·2·2 = 12
The area of rectangle ABCD is 12.
_____
Other methods include subtracting the area of the corner triangles from the area of the bounding square:
5^2 -2(1/2)(3·3) -2(1/2)(2·2) = 25 -9 -4 = 12
Probability is the extent to which an event is likely to occur. It is the likelihood of sth to happen.
In maths it is measured by the ratio of the favourable cases to the whole number of cases possible.
For instance
there are 5 black balls and 2 white balls of same shape and size.
If you picked one out of a bag it is more likely for you to pick a black one rather than a white one as it has more in number.
So black balls have more probability.
And to find out probability of this above given event,
Sample space n(S) = 5+2 = 7
No. Of black balls n(B) = 5
No. Of white balls n(W) = 2
Probability of black ball p(B) = n(B)/n(S)
=5/7
And in the same way, p(W) = 2/7
