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koban [17]
4 years ago
5

A marble is selected at random from a jar containing 2 red marbles, 3 yellow marbles,

Mathematics
1 answer:
Ivan4 years ago
5 0

Answer:

see below

Step-by-step explanation:

2 red marbles, 3 yellow marbles, and 6 green marbles = 11 marbles

a P(red) = red/total = 2/11

b) P(not yellow) = (total - yellow)/total = (11-3)/11 = 8/11

c) P(red or green) = (red or green)/total = (2+6)/11 = 8/11

d) P( not red or green) = P(yellow) = yellow/total = 3/11

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A
Gnesinka [82]

Answer:

A: 779 cm²

B: 1837 cm²

Step-by-step explanation:

For both problems, use the formula for surface area of a cylinder:

SA = 2πr² + 2πrh

2πr² is the two bases.

2πrh is the curved surface.

<u>PROBLEM A</u>

"the cylinder is 60 cm long" is h = 60.

If given diameter, you can find "r" by dividing it by 2. d = 2r

Given d = 4, then r = 2.

SA = 2πr² + 2πrh

SA = 2π2² + 2π2(60)

SA = 8π + 240π               Add

SA = 248π                       Exact answer

SA ≈ 779.114978             Answer on calculator

SA ≈ 779           Rounded answer

Remember to include the units.

The surface area is about 779 cm².

<u>PROBLEM B</u>

"80 cm long" h = 80.

"circumference of 22 cm". C = 22. Remember C = 2πr. Find "r".

C = 2πr

22 = 2πr

11 = πr

r ≈ 11/π

SA = 2πr² + 2πrh

SA = 2π(11/π)² + 22(80)       Substitute 2πr with the circumference.

SA ≈ 1837.030992            Answer on calculator

SA ≈ 1837               Rounded answer

Remember to include the units.

The surface area is about 1837 cm².

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