Answer:
Step-by-step explanation:
se the graph to determine the input values that
correspond with f(x) = 1.
O x=4
O x= 1 and x = 4
O x= -7 and x = 4
O x= -7 and x = 2
6.
(-6, 4)
4
(1,4)
w
2
(-7, 1)
(2, 1) x
2
4
-8/ -6 -4 -2
-2
-4
Answer: The sample space is {1, 2, 3, 4, 5, 6}.
The expected value for the game is 0.
The game is fair because the expected value is equal to 0.
Step-by-step explanation:
For rolling a dice the sample space = {1, 2, 3, 4, 5, 6}
As there are equal number of odd numbers as well as even numbers and we get one point if we roll an even number and negative one point if you roll an odd number, therefore, the expected value = 0
Therefore, the game is fair because the expected value is equal to 0.
Let the number of nickels be n, then the number of quarters is 84-n.
The value of 1 qtr is 25c and the value of 1 nickel is 5c.
The total value is 5n+25(84-n)=1240 (in cents).
5n+2100-25n=1240, 20n=860, n=860/20=43.
So there are 43 nickels (worth $2.15) and 41 quarters (worth $10.25).
Answer:
(4x -14)/3
Step-by-step explanation:
Assuming you intend mixed number coefficients, only the coefficients of x can be combined.
(-2 1/4)x +(3 7/12)x -(4 2/3) = x(-2 1/4 +3 7/12) -(4 2/3)
The mixed numbers are added in the usual way.
(-2 1/4) +(3 7/12) = (-2 +3) +(-1/4 +7/12) = 1 +(-3/12 +7/12) = 1 4/12 = 1 1/3
So the expression simplifies to ...
(1 1/3)x -(4 2/3)
This might be better written as ...
(4x -14)/3
_____
<em>Comment on mixed numbers</em>
It is hard to write mixed numbers so they can be properly interpreted in an algebraic expression. In general, they are better written as improper fractions or as decimal numbers (if the decimal terminates).
Answer:
17x+4=123(alternate angle)
17x=123-4
17x=119
x=7
