Answer:
Part A: y=4.50x+6
Part B: $46.50=4.50(9)+6
Marc can buy up to 9 sandwiches ($40.5) plus chips ($6) without going over $50.
Answer:
.
Step-by-step explanation:
It is given that Point A is at (-5, -4) and point B at (-3, 3).
We need to find the coordinates of the point which is 3/4 of the way from A to B.
Let the required point be P.


It means, point P divides segment AB in 3:1.
Section formula: If a point divides a line segment in m:n, then

Using section formula, we get




Therefore, the required point is
.
Answer:
D
Step-by-step explanation:
The margin of error represents the amount of percentage points that the real value can differ from the value given in the sample. The margin of error is ±3%, meaning that 50.6 (the sample value) ± 3% is the margin of error, resulting in a range of (47.6, 53.6) as our margin of error. Anything in that range can be the true proportion of voters that would vote for the ballot measure. As the range contains value both less than and greater than the 50% needed to pass, it is impossible to say, given the data, that the voters will vote yes or no to the ballot.
Answer:
When 5 winners are randomly selected, the probability that they are all men is 0.003.
Step-by-step explanation:
Among the contestants in a competition are 46 women and 23 men.
Total persons are =
When one winner is chosen, there are 68 people left, when second winner is chosen there are 67 people left and so on.
So, the probability that they are all men is given by:

=
= 0.002999 ≈ 0.003
Therefore, when 5 winners are randomly selected, the probability that they are all men is 0.003.
Solve for x in the second equation first