Answer:
The hypothesis is: "The last digit of n is zero."
The conclusion is: "n is divisible by five."
The converse is: "If n is divisible by five, the the last digit of n is zero."
The contrapositive is: "If n is not divisble by five, then n does not end in zero."
Step-by-step explanation:
I just took the test :)
a) Menon has 992 stickers. We can find this by writing an algebraic expression for the number of stickers, with x being the number that Lindsay has. This gives us:
x + 4x = 1240
5x = 1240
x = 248
Now we multiply 248 by 4 to get 992.
b) There are 2 stickers left over. First we have to divide 992 by 6, which gives us 165 as a whole number, but then a remainder of 2. That means that there are two stickers left.
c) Menon needs 4 more stickers, as 6 - 2 = 4, and there are 6 stickers per page.
I hope this helps! Let me know if you have any questions :)
Answer:
333 and 1000
Step-by-step explanation:
a]
The expected value of spinning the wheel is given by:
E(x)=2/9(200)+4/9(300)+2/9(400)+1/9(600)
E(x)=44 4/9+133 1/3+88 8/9+66 2/3
E(x)=333 1/3
b] The expected value of spinning the wheel thrice will be:
(expected value of spinning once)*(number of spins)
=333 1/3*3
=1000/3*3
=1000
Answer:
94.33
Step-by-step explanation:
add up all numbers then input into a percentage calculator
A = 6
x^2 + 6x is equal to x(x+6)
b=2
Denominator and numerator of the first term are multiplied by x.
c=6
Second term is multiplied by (x-6)/(x-6)
d=2
Now that they have the same denominator, the two terms are combined. 2 is the coefficient of the first term
e=6
In the same way as d is carried over from b, e is carried over from c.
f = 6
2x - x + 6 = x + 6
g = 1
We factor out the (x+6) from the numerator and denominator
