Answer:
a. 1/(2^n)
b. ¾
Step-by-step explanation:
a. Given that there are n variables in a compound proposition.
Each of the n variables have exactly two possible equally likely truth values that can be assigned.
The values are true or false.
And the value can only be either true or false at any given time
True(1) + False (1) = 2 truth values
So, the probability of each possible assignment of truth values to the n variables is 1/(2^n)
b. Given that a clause is in disjunctive form of exactly two distinct variables
n = 2 distinct variables; n = 2
1/(2^n) becomes
1/2²
= ¼
This means that there's exactly 1 combination out of possible 2² that will lead to the clause being false.
The probability that a given clause is true, given the random assignment of truth values from part (a) is calculated as 1 - ¼
= ¾
It is not a function because functions can’t have the same x axis
Domain is input so x axis So list all the x axis
Range is output so y axis and list all y axis
Answer:
The equation is y=-x+6.
Step-by-step explanation:
To find the slope of this equation, we use the equation m=y2-y1/x2-x1, where m is the slope. Take one y coordinate and subtract it from the other and do the same with the x coordinates. Then, divide the difference of the y coordinates by the difference of the x coordinates. For example, 6-2/0-4. This gets us 4/-4. You can also do 2-6/4-0 which gets us -4/4. No matter what, we get -1 for each (we don't include the 1 in front of the x). To find the y-intercept, plug in the coordinates. For example, do 6=0(-1)+b or 2=4(-1)+b. No matter which you use, you get an answer of b=6. This gives you an equation of y=-x+6. Hope this helps :)
(27x + 16*8)/x+8 = 19
(27x +128) /x+8 = 19
multiply both sides by x+8
27x+128 = 19x +152
subtract 19x from both side:
8x +128 = 152
subtract 128 from both side:
8x = 24
divide both sides by 8
x = 24 /8
x = 3 pounds