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Hoochie [10]
2 years ago
8

Seventh grade) R.14 Add and subtract line Simplify the expression: 10(4 + 2y) Submit​

Mathematics
1 answer:
yarga [219]2 years ago
7 0
10* 4 = 40
10* 2y= 20y
40+20y

if the question meant expand
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A 5-card hand is dealt from a perfectly shuffled deck. Define the events: A: the hand is a four of a kind (all four cards of one
TiliK225 [7]

In a hand of 5 cards, you want 4 of them to be of the same rank, and the fifth can be any of the remaining 48 cards. So if the rank of the 4-of-a-kind is fixed, there are \binom44\binom{48}1=48 possible hands. To account for any choice of rank, we choose 1 of the 13 possible ranks and multiply this count by \binom{13}1=13. So there are 624 possible hands containing a 4-of-a-kind. Hence A occurs with probability

\dfrac{\binom{13}1\binom44\binom{48}1}{\binom{52}5}=\dfrac{624}{2,598,960}\approx0.00024

There are 4 aces in the deck. If exactly 1 occurs in the hand, the remaining 4 cards can be any of the remaining 48 non-ace cards, contributing \binom41\binom{48}4=778,320 possible hands. Exactly 2 aces are drawn in \binom42\binom{48}3=103,776 hands. And so on. This gives a total of

\displaystyle\sum_{a=1}^4\binom4a\binom{48}{5-a}=886,656

possible hands containing at least 1 ace, and hence B occurs with probability

\dfrac{\sum\limits_{a=1}^4\binom4a\binom{48}{5-a}}{\binom{52}5}=\dfrac{18,472}{54,145}\approx0.3412

The product of these probability is approximately 0.000082.

A and B are independent if the probability of both events occurring simultaneously is the same as the above probability, i.e. P(A\cap B)=P(A)P(B). This happens if

  • the hand has 4 aces and 1 non-ace, or
  • the hand has a non-ace 4-of-a-kind and 1 ace

The above "sub-events" are mutually exclusive and share no overlap. There are 48 possible non-aces to choose from, so the first sub-event consists of 48 possible hands. There are 12 non-ace 4-of-a-kinds and 4 choices of ace for the fifth card, so the second sub-event has a total of 12*4 = 48 possible hands. So A\cap B consists of 96 possible hands, which occurs with probability

\dfrac{96}{\binom{52}5}\approx0.0000369

and so the events A and B are NOT independent.

4 0
3 years ago
If there are 75 people at a movie and 36% of them are men, how many men are at the movie?
Musya8 [376]

75 * .36 = 27 men

****************************************************************


8 0
2 years ago
**PLEASE HELP ITS DUE TOMORROW** IMAGE IS FOR QUESTION 1
Fed [463]

For question 1. a five sided shape has 540° , so if you add all the sides up you get 479, so then you do 540 - 479, to get 61°, which is x

so, x° = 61°

5 0
3 years ago
larry,mary and terry each had a full glass of juice. larry drank 3/4 of his mary drank 3/8 of hers larry drank 3/4 of his terry
Katena32 [7]
3/4 is greater than 1/2

7/10 is greater than 5/10

and 3/8 is less the 4/8 (4/8=1/2)
3 0
3 years ago
Please help!!!! i am despite, i will mark brainlyest
Sedaia [141]

Answer:

x=12

10x = 120

5x = 60

Step-by-step explanation:

paralellograms will become 360 degrees

so 2(5x) +2(10x)= 360

Simplify:

10x + 20x = 360

= 30x

divide both sides by 30 and isolate

<u>30x </u> = <u>360</u>

30        30

x=12

multiply 12 by 10x and 5x

10x = 120

5x = 60

7 0
2 years ago
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