Standard form is y=mx+b, where m is the slope and b is the y intercept, substitute to find y=3x+3.
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Answer: No. The intervals defined by the margin or error overlap
Step-by-step explanation:
If we think about it, with the worst margins, 55% could be 48% and then the 45% would be 52%, showing there is no clear yes or no and it is possible that the intervals could overlap
Answer: The required expression will be

Step-by-step explanation:
Since we have given that
Amount that Liam has = $250
Amount that he and his classmates spent on present for their teacher =$p
Number of students in which $p will split = 24
According to question,
Amount that left to Liam is given by

Hence, the required expression will be

Answer:
dependent
Step-by-step explanation:
there is no replacement
9514 1404 393
Answer:
72
Step-by-step explanation:
The triangles are said to be similar. (ΔNPQ ~ ΔRSQ) That means corresponding sides have the same ratio:
NP/RS = NQ/RQ = PQ/SQ = 24/32 = 21/28 = 3/4
This ratio, or scale factor, also applies to the perimeters of the two triangles.
perimeter NPQ / perimeter RSQ = 3/4
Using the given expressions for the perimeters, we have ...
(7x +2)/(10x -4) = 3/4
We can solve this equation in the usual way to find the value of x. Then we can use that value to find the perimeter of ΔNPQ.
4(7x +2) = 3(10x -4) . . . . . multiply both sides by 4(10x -4)
28x +8 = 30x -12 . . . . . eliminate parentheses
20 = 2x . . . . . . . . . . . add 12-28x to both sides
10 = x . . . . . . . . . . . divide both sides by 10
The perimeter of ΔNPQ is ...
7x +2 = 7(10) +2 = 72
The perimeter of triangle NPQ is 72 units.