Answer:
128 fl oz
Step-by-step explanation:
Given: A statement- A number is negative if and only if it is less than 0.
p: A number is negative.
q: A number is less than 0.
Required: To find the inverse of the given statement and state if it is true or false.
Explanation: The inverse of the statement will be-
A number is positive if and only if it is greater than 0.
p: A number is positive.
q: A number is greater than 0.
The statement is always true since a positive number is always greater than 0.
Now p and q both are true since any positive number is greater than 0 and any number greater than 0 is always a positive number.
Hence we can write
The inverse of the given statement is true.
Final Answer: Option D and Option F are correct.
Answer: is it -3,11
Step-by-step explanation:
Answer:
Step-by-step explanation:
2x=y-10
2x+7=2y
====
2x=y-10
x = (y-10)/2
Use this in the 2nd equation:
2x+7=2y
2((y-10)/2)+7=2y
y - 10 + 7 = 2y
-y -3 = 0
-y = 3
y = -3
Use this in either equation:
2x=y-10
2x=(-3)-10
x = -(13/2) or - 6.5
(-6.5, -3)
See attached graph.
C(n,r) = [n!/((n-r)!*r!)]
.
n is the number of possibilities and it is 52 in question and r is the number of
things to be taken at a time which is 6
.
if we substitiue
.
C(n,r) = [52!/((52-6)!*6!)= 52!/((46)!*6!)]
.
52! = 52*51*49*48*47*46*45*44*43*42*..... and 46! = 46*45*44*43*42*....
.
you divide 52! by 46! the result after canceling all the
common terms is just 52*51*50*49*48*47. The question is reduced to
.
C(n,r) = (52*51*50*49*48*47)/6!
.
and 6! = 6*5*4*3*2*1
.
If you want you can divide the numbers from 6! into the numbers in the numerator to simplify
things a little or you can just take your calculator and multiply out the numerator and
then divide that answer by 720 which is what 6! equals.
.
If you just multiply out the numerator your calculator should tell you that the answer is
1.46581344*10^10 and when you divide that by 720 you get 20,358,520. This means that for
every 20,358,520 lottery tickets sold there is likely to be 1 winner among them. Pretty slim
odds of your ticket being that one.
.
If you have a cheap scientific calculator you might examine it carefully to see if it has
a key function labeled nCr. If you do it will calculate this combination automatically.
.
Just enter 52, then press the nCr function, then enter 2, and press the equal sign.
