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miskamm [114]
3 years ago
6

Write 98 as the product of prime factors.

Mathematics
1 answer:
liberstina [14]3 years ago
4 0

Answer: 2*7*7


Step-by-step explanation:


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I will mark brainliest. I need to write a proof for given: <1=<5 prove n||p I completely forgot how to do this and have at
Triss [41]

Answer:

<em><1 = <5 ( because it is a corresponding angle and corresponding angles are always </em><em> </em> <em>equal</em><em> </em><em>)</em>

<em>hope</em><em> </em><em>this</em><em> </em><em>answer</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>you</em><em> </em>

<em>have</em><em> </em><em>a</em><em> </em><em>great</em><em> </em><em>time</em><em> </em>

4 0
3 years ago
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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
Pleeaaaaassssssseeeee help for brainlist and 100 points
emmainna [20.7K]

Answer:

Part A: C, Part B: A, E, i, K  160 cm, A: 21, Use PEMDAS and you get 13 5/7.

Step-by-step explanation:

1.6 x 100 meters = 160 centimeters

3 x 7/1 = 21/1 = 21

3 0
3 years ago
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Which integer represents the statement "Drink descended 50 feet"?
azamat

Answer:

-50

Step-by-step explanation:

If the drink is descending by 50 feet, hypothetically I would say that the drinks at 0 ft. so it would be -50

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3 years ago
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State whether the equation is true, false, or an open sentence. 9 = 5 + 4
Molodets [167]

Answer:

This equation is true because when you flip it 5+4=9 it is the same. and 5+4=9

Step-by-step explanation:

9=5+4   5+4=9  

4 0
3 years ago
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