Events A and B are independent if the following holds true:
P(A ∩ B) = P(A) * P(B)
where P(A ∩ B) is the probability of A and B, P(A) is the probability of A, and P(B) is the probability of B.
Setting A = "snow" and B = "cold weather", and plugging in the above numbers will give you the answer.
Upper Tolerance
Remark
The 11/16 is the only thing that will be affected. The three won't go up or down when we add 1/64 so we should just work with the 11/16. We need only add 11/16 and 1/64 together to see what the upper range is. Later on we can add 3 into the mix.
Solution
<u>Upper Limit</u>
Now change the 11/16 into 64. Multiply numerator and denominator or 11/16 by 4
Which results in
With a final result for the fractions of 45/64
So the upper tolerance = 3 45/64
<u>Lower Tolerance</u>
Just follow the same steps as you did for the upper tolerance except you subtract 1/64 like this.
Your answer should be 3 and 43/64
Answer:
A
Step-by-step explanation:
Taking the square root of both sides.
Answer: (x,y) = (-1, 1)
This means that x = -1 and y = 1
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Explanation:
The first equation says that y is the same as 2x+3
That allows us to substitute y for 2x+3 in the second equation like so:
2x+5y = 3
2x+5( y ) = 3
2x + 5(2x+3) = 3 .... y replaced with 2x+3
2x+10x+15 = 3
12x+15 = 3
12x = 3-15
12x = -12
x = -12/12
x = -1
Then we'll substitute this into the first equation to find y
y = 2x+3
y = 2(-1) + 3 .... x replaced with -1
y = -2+3
y = 1
Together x = -1 and y = 1 pair up to form the ordered pair solution (x,y) = (-1,1)
If you were to graph y = 2x+3 and 2x+5y=3 on the same xy grid, then you should see that the two lines intersect at the location (-1,1). This is a visual way to determine the solution quickly through use of a graphing calculator.
Answer:
7
Step-by-step explanation:
-8 is a negative number for example if you have -8 and you wanna get it to 0 you add 8 you don't have to do that with 7 it's a "positive" number
