Number of returns = 47
Number of returns that contain errors = 5
Number of returns that does not contain error = 47 - 5 = 42
P(selecting none that contains error in the unreplaced selection) = 42/47 x 41/46 x 40/45 = 68880 / 97290 = 0.708
option C is the correct answer.
Let n = number of records.
Each record costs $7, so n records cost 7n.
She then spent $3, so the total spent is 3n + 3.
She spent a total of $24, so 3n + 3 must equal 24. That gives us the following equation.
7n + 3 = 24
Subtract 3 from both sides.
7n = 21
Divide both sides by 7.
n = 3
Answer: She bought 3 records.
FYI - 14,15,16 are correct.
17. a) 7 (nearest integer), b) 6.8 (nearest tenth)
18. a) 14 (nearest integer), b) 13.8 (nearest tenth)
19. 
--> simplified to = 2
<em>-- let me know if you have any questions regarding this. </em>
Answer:
$15.21
Step-by-step explanation:
17% of $13=0.17*13=2.21
13 (the price of the actual lunch) +2.21= 15.21
Alternatively, you can just do the operation:
13*(1+0.17)=15.21
This is because 1*13=the price of the actual lunch and 0.17*13=the price of the tip
We know :
<em />To prove: AD = CD
AB = CB
angle BEA = angle BEC
BE = BE (common side)
So, by SAS criterion (Side-Angle-Side),
ΔBEA congruent to ΔBEC.
By seeing the corresponding parts of the Congruent triangles, we observe:
AE = CE
So,
in triangles AED and CED,
ED = ED (common side)
AE = CE (given)
angle AED = angle CED
So, by SAS criterion:
ΔAED is congruent to ΔCED.
Therefore, by observing the corresponding parts of congruent triangles,
we can say that: AD = CD.
