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julia-pushkina [17]
3 years ago
14

A card is selected at random from a standard 52-card deck. (a) what is the probability that it is an ace? 4/52 (b) what is the p

robability that it is a heart? .25 (c) what is the probability that it is an ace or a heart
Mathematics
1 answer:
Burka [1]3 years ago
5 0
Part (a) is relatively straight forward.

There are 4 aces in a standard 52-card deck. So the probability that AN ace is picked is just 4/52.

Part (b):
Note that there are 4 suits in a standard 52-card deck. So picking hearts will be 13/52 or 1/4.

Part (c):
The probability condition OR means we need to add the two probabilities because we do not want them simultaneously. So, we end up getting Pr(ace) + Pr(heart).

From part (a), we found that picking an ace had a probability of 4/52, which is reduced down to 1/13.

From part (b), we found that picking a heart had a probability of 1/4.

So, the probability of an ace OR a heart is 1/13 + 1/4 = 4/52 + 13/52 = 17/52.

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I need help on questions 48 49 and 50 and u need to find the surface area of the 3 polyhedras please and thank you!
White raven [17]

48. The surface area of a cylinder is given by

... A = 2πr² + 2πrh = 2πr(r+h)

For r = 13 mi and h = 7 mi, this becomes

... A = 2π(13 mi)(13 mi + 7 mi) = 520π mi²

The surface area of the cylinder is 520π mi² ≈ 1634 mi².

49. The surface area of a rectangular prism is

... A = 2(LW + H(L+W))

For L = 20 m, W = 10 m, H = 7 m, this becomes

... A = 2((20 m)(10 m) + (7 m)(20 m + 10 m)) = 2(200 m² + 210 m²) = 820 m²

The surface area of the prism is 820 m².

50. The formula is the same as for problem 48.

For r = 10 m and h = 13 m, this becomes

... A = 2π(10 m)(10 m + 13 m) = 460π m² ≈ 1445 m²

The surface area of the cylinder is 460π m² ≈ 1445 m².

_____

When calculations are repetitive, it is convenient to let a calculator or spreadsheet do them.

7 0
3 years ago
What is the area of a triangle with a base of 9 feet and a height of 10 feet?
avanturin [10]

Answer:

45 ft^2

Step-by-step explanation:

Multiply 9 · 10 = 90 then divided by 2 = 45

6 0
3 years ago
"Eighty and fifteen hundredths" in numbers<br>(decimals)
Black_prince [1.1K]

Answer:

80.15

Step-by-step explanation:

Eighty and fifteen hundredths = 80.15

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3 years ago
There are 14 boys and 9 girls in miss Keller’s music class what is the ratio of boys to girls ? And what is the ratio of girls t
11111nata11111 [884]

Answer:

Step-by-step explanation:

if there are 14 boys to 9 girls in a class the ratio would be

14:9

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