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tester [92]
2 years ago
13

Caleb has a board that measures 10 feet in length. How many 1/3 foot-long pieces can Caleb from the board?

Mathematics
1 answer:
valentina_108 [34]2 years ago
7 0
Caleb can get 7 1/3 pieces from the board
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Express this number in scientific notation.<br> 78 million
e-lub [12.9K]

7.8 x 10^7

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2 years ago
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Four cards are dealt from a standard fifty-two-card poker deck. What is the probability that all four are aces given that at lea
elena-s [515]

Answer:

The probability is 0.0052

Step-by-step explanation:

Let's call A the event that the four cards are aces, B the event that at least three are aces. So, the probability P(A/B) that all four are aces given that at least three are aces is calculated as:

P(A/B) =  P(A∩B)/P(B)

The probability P(B) that at least three are aces is the sum of the following probabilities:

  • The four card are aces: This is one hand from the 270,725 differents sets of four cards, so the probability is 1/270,725
  • There are exactly 3 aces: we need to calculated how many hands have exactly 3 aces, so we are going to calculate de number of combinations or ways in which we can select k elements from a group of n elements. This can be calculated as:

nCk=\frac{n!}{k!(n-k)!}

So, the number of ways to select exactly 3 aces is:

4C3*48C1=\frac{4!}{3!(4-3)!}*\frac{48!}{1!(48-1)!}=192

Because we are going to select 3 aces from the 4 in the poker deck and we are going to select 1 card from the 48 that aren't aces. So the probability in this case is 192/270,725

Then, the probability P(B) that at least three are aces is:

P(B)=\frac{1}{270,725} +\frac{192}{270,725} =\frac{193}{270,725}

On the other hand the probability P(A∩B) that the four cards are aces and at least three are aces is equal to the probability that the four card are aces, so:

P(A∩B) = 1/270,725

Finally, the probability P(A/B) that all four are aces given that at least three are aces is:

P=\frac{1/270,725}{193/270,725} =\frac{1}{193}=0.0052

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3 years ago
Simplify radical 12 please
Butoxors [25]
About 3.

hope this helped! :)
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2 years ago
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The quotient of a number and 7 is greater than or equal to 20
Rina8888 [55]

Answer:

a is greater than or equal to 140

Step-by-step explanation:

Multiply both sides by 7, which cancels out the 7 and turns 20 into 140

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2 years ago
SOS WHAT IS THE SQUARE ROOT OF 144/256?
tangare [24]
The square root is  \sqrt{\frac{144}{256}} = \frac{3}{4} Just square the top and bottom of the fraction. \sqrt{144} = 12 and \sqrt{256} = 16 so we have 12/16 and then we reduce to 3/4
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