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uysha [10]
3 years ago
14

The time t (in hours) that it takes a group of volunteers to build a

Mathematics
2 answers:
weeeeeb [17]3 years ago
5 0

It will take 9 hours

Oduvanchick [21]3 years ago
5 0

Answer:

8 hours

Step-by-step explanation:

10 × 12 = 15 × t

t = 8

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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

5 0
3 years ago
What is 82 + 100 - 2 = _____?
Hoochie [10]

Answer:

180

Step-by-step explanation:

100+82=182-2=180

5 0
3 years ago
Read 2 more answers
Please help
attashe74 [19]

Answer:

8%

Step-by-step explanation:

Its still 8% of her money

3 0
3 years ago
What is the ratio 16 to 40 written as a fraction in lowest terms? plz help 50 points
Luda [366]

Answer:- \frac{2}{5}

Step-by-step explanation:

The given ration is 16 :40

In fraction, the above ratio can be written as : \frac{16}{40}

To write the above fraction in lowest terms, we need to divide the numerator and the denominator by the greatest common divisor.

Since, 16=2\times8\\40=5\times8, Hence, 8 is the greatest common divisor of 16 and 40.

Now, divide the numerator and denominator by 8, we get

\frac{16}{40}=\frac{2}{5}

3 0
3 years ago
Jack buys a pair of shoes for $52 and pays $2.60 sales tax. How much sales tax will his friend pay if his friend purchases a shi
gogolik [260]
To answer this you would divide 52 by 2.60 which is 20,
So, 28 / 20 = 1.40,

So the answer is $140 sales tax.

Hope this helps.

6 0
3 years ago
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