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VladimirAG [237]
3 years ago
7

7 cards are drawn from a standard deck of 52 cards. How many different 7-cars hands are possible if the drawing is done without

replacement?
Mathematics
1 answer:
adell [148]3 years ago
5 0

Answer:

5040

Step-by-step explanation:

every card in a 52 deck, is unique, and there are 7 cards drawn, without replacement, so your answer is 7!, 7! = 7*6*5*4*3*2*1=5040

You might be interested in
Two sides of a triangle are 8 m and 9 m in length and the angle between them is increasing at a rate of 0.06 rad/s. Find the rat
Lelechka [254]
<h2>Rate at which area is increasing is 1.08 m²/s.</h2>

Step-by-step explanation:

Area of triangle is with side a and b and angle C between them is given by

                             A = 0.5 ab SinC

Here we need to find how area changes with  a and b fixed and C is changing,

                       \frac{dA}{dt}=\frac{d}{dt}\left (0.5 absinC\right )\\\\\frac{dA}{dt}=0.5ab\frac{d}{dt}\left (sinC\right )\\\\\frac{dA}{dt}=0.5abcosC\frac{dC}{dt}

We have

                 a = 8 m

                 b = 9 m

                 C=\frac{\pi}{3}rad\\\\\frac{dC}{dt}=0.06rad/s

Substituting

                 \frac{dA}{dt}=0.5\times 8\times 9\times cos\left ( \frac{\pi}{3}\right )\times 0.06\\\\\frac{dA}{dt}=1.08m^2/s

Rate at which area is increasing is 1.08 m²/s.

4 0
3 years ago
Two ladders are leaning against a wall at the same angle, as shown. How long is the short ladder? (The long ladder is 70×50) (Th
Ahat [919]

Idk but add me on epic my username is APB1203

6 0
3 years ago
What is the probability that at least one of a pair of fair dice lands of 5, given that the sum of the dice is 8?
o-na [289]

Answer:

0.40

Step-by-step explanation:

to find out the probability that at least one of a pair of fair dice lands of 5, given that the sum of the dice is 8

Let A = sum of dice is 8

B = one lands in 5

P(B/A) = P(AB)/P(A) by conditional probability

P(AB) = sum is 8 and one is 5

So (5,3) or (3,5)

P(A) = sum  is 8.

i.e. (2,6) (2,6) (3,5) (5,3) (4,4)

Required probability

= n(AB)/n(A)

=\frac{2}{5} =0.40

4 0
3 years ago
A rectangle prism with a length of 5 inches, a width of 4 inches, and a height of 3 inches.
Ivenika [448]

Answer:

▶◀

Step-by-step explanation:

n/a bc you didn't explain wut to do

7 0
3 years ago
An insurance company sets up a statistical test with a null hypothesis that the average time for processing a claim is 7 days, a
JulsSmile [24]

Answer:

There was no error

Step-by-step explanation:

There are two types of statistical errors, the type 1 error and the type 2 error. In this case we refute the null hypothesis when the hypothesis is, in fact, false, because the mean process is 9 days instead of 7. Therefore we made no errors.

If the null hypothesis were True, a type 1 error would have ocurred. If the null hypothesis were false and we didnt refute it, then a type 2 error would have ocurred.

4 0
3 years ago
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