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melamori03 [73]
3 years ago
7

There are 52 cards in a deck, and 13 of them are hearts. Consider the following two scenarios:

Mathematics
1 answer:
Klio2033 [76]3 years ago
8 0

Answer:

The two scenarios differ.

P(Scenario A) = 0.107

P(Scenario B) = 0.265

Step-by-step explanation:

The two scenarios are different because for the second one you are alredy assuming that the first 3 cards are not hearths, and for that reason, B is more likely to happen that A.

For B to happen, you need to notice that since you remove 3 cards from your deck that are not hearts, then your deck has only 49 cards, and 13 of them are hearts. The probability for a heart to show up is, as a result 13/49 = 0.265 because you have 13 favourable cases from 49 possible.

For A, you need the first card to be anything but a heart. Since 13 cards of the deck are herts, 39 are not, and the probability of that hapening is 39/52 = 3/4. After you remove your first card, the probability of the second one not being heart is 38/51, and the probability for the third one is 37/50 (you are removing one favourable case and one case for the total of cases each time). The probability for the fourth card being a heart assuming that the first three are not was calculated before and it gives us a result of 13/49.

Multiplying everything, we obtain that

P(A) = 3/4*38/51*37/50*13/49 = 0.107.

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x = 6, y = -2

Step-by-step explanation:

24/4 = 6

x = 6

= (5x6)+8y=14

= 8y = 14 -30

8y = -16

y = -16/8

y = -2

Check: 5x6+8x-2= 14

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i=13

Step-by-step explanation:

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Answer:

$15

Step-by-step explanation:

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3 years ago
The dimensions of a closed rectangular box are measured as 90 centimeters, 50centimeters, and 90 centimeters, respectively, with
gogolik [260]

Answer:

184 cm²

Step-by-step explanation:

Surface area of the rectangular box is expressed as S = 2(LW+LH+WH)

L is the length of the box = 90 cm

W is the width of the box = 50 cm

H is the height of the box= 90 cm

If there are error of at most 0.2 cm in each measurement, then the total surface area using differential estimate will be expressed as shown;

S = 2{(LdW+WdL) + (LdH+HdL) + (WdH+HdW)

Note that dL = dW = dH = 0.2 cm

Substituting the given values into the formula to estimate the maximum error in calculating the surface area of the box

S = 2{(90(0.2)+50(0.2)) + (90(0.2)+90(0.2)) + (50(0.2)+90(0.2))

S = 2{18+10+18+18+10+18}

S = 2(92)

S = 184 cm²

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3 years ago
There are 5 radar stations and the probability of a single radar station detecting an enemy plane is 0.55. What is the probabili
Lerok [7]
This is a binomial distribution with n = 5, p = 0.55, q = 1 - 0.55 = 0.45, x = 0, 1, 2, 3

P(x) = nCx p^x q^(n - x)
P(x ≤ 3) = 1 - P(x > 3) = 1 - [P(4) + P(5)]
P(4) = 5C4 x (0.55)^4 x (0.45) = 0.2059
P(5) = 5C5 x (0.55)^5 x 1 = 0.0503

P(x ≤ 3) = 1 - (0.2059 + 0.0503) = 1 - 0.2562 = 0.7438
4 0
3 years ago
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