Answer:
r = 
Step-by-step explanation:
The common ratio r is calculated as
r = 
= 
= 
=
Answer:
a) 21/1240 = 0.017
b) 9/1240 = 7.26*10^-3
c) 3/2480 = 1.21*10^-3
Step-by-step explanation:
There are total 32 M&Ms in the bag
a) Probability that all three are blue M&Ms (without replacement)
(9/32)*(8*31)*(7/30) = 21/1240 = 0.017
b) Probability that the first one selected is blue, the second one selected is orange, and the third one selected is red
(9/32)*(6/31)*(4/30) = 9/1240 = 7.26*10^-3
c) Probability that the first two selected are red, and the third one selected is yellow
(4/32)*(3/31)*(3/30) = 3/2480 = 1.21*10^-3
6 buses with 32 students per bus.....6 x 32 = 192 students
each row seats 8 students...192/8 = 24 rows will be needed for all students
Answer:
20 hours.
Step-by-step explanation.
The total distance traveled was 400 miles. Then I divided 400 by 20. I got 20.
<span>The answer: b. translated according to the rule (x, y) → (x + 8, y + 2) and reflected across the x-axis
If you make the drawing of the situation you realize the you need a reflection through the x-axis, but first you need to translate the polygon several units to the left and upward.
You can see that all the x-coordinates have increased 8 units, so the solution has to include x + 8.
Also, you see that you have to move the polygon 2 units upward before doing the reflection so the solution has to include y + 2.
So, the answer is (x,y) ---> (x + 8, y + 2) and then reflection across the x-axis.
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