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scZoUnD [109]
3 years ago
5

As part of a quality-control program, 4 batteries from a box of 17 is chosen at random for testing. In how many ways can this te

st batch be chosen?
Mathematics
1 answer:
belka [17]3 years ago
5 0

Answer:

This test batch can be chosen in 2380 ways

Step-by-step explanation:

The order in which the batteries are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In how many ways can this test batch be chosen?

4 batteries from a set of 17. So

C_{17,4} = \frac{17!}{4!(17-4)!} = 2380

This test batch can be chosen in 2380 ways

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What is the general form of the equation of a circle with its center at (-2,1) and passing through (-4,1)
cricket20 [7]

Answer:

(x + 2)^2 + (y - 1)^2 = 2^2

Step-by-step explanation:

The equation of this circle is

(x + 2)^2 + (y - 1)^2 = r^2, and we are to determine the values of r^2 and r by substituting -4 for x and 1 for y:

(-4 + 2)^2 + (1 - 1)^2 = r^2, or:

(-2)^2                        =  r^2, or

4 = r^2

Then r = 2.

The desired equation is:

(x + 2)^2 + (y - 1)^2 = 2^2

7 0
3 years ago
Cody is designing a pattern for a wood floor the length of the pieces of wood are 1 1/2 inches 1 13/16 inches and 2 1/8 inches w
erastovalidia [21]

Well, you only listed three pieces so far.  But I can already see a
pattern emerging from those three.

Of course, the next piece might return to 1-1/2 inches.  I mean,
the pattern can't just keep on going and increasing forever or
Cody would eventually wind up with pieces that are a mile long. 
It must eventually return to 1-1/2 inches and start over from there.

From the first piece to the second one, and from the second one
to the third one, the increase is  5/16 inch both times.  So if the
pattern is more than three pieces long before it starts over from
1-1/2, then the next piece is

             (2-1/8 + 5/16) = (2-2/16 + 5/16)  =  2-7/16 inches .
8 0
3 years ago
i am doing integers and the question is Michael withdrew$60 from his checking account name the integer that represent the situat
Slav-nsk [51]
X-60 WITH X BEING THE BANK ACCOUNT TOTAL - THE WITHDRAWAL DO U HAVE ANY ANSWER CHOICES?

5 0
3 years ago
Find the missing parts of the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.
Katena32 [7]

Answer:

  • A) A = 27.3°, B = 56.1°, C = 96.6°

Step-by-step explanation:

<u>Use the Law of Cosines:</u>

  • A = arccos [(b² + c² - a²)/(2bc)] = arccos [(13.2² + 15.8² - 7.3²)/(2*13.2*15.8)] = 27.3°
  • B = arccos [(a² + c² - b²)/(2ac)] = arccos [(7.3² + 15.8² - 13.2²)/(2*7.3*15.8)] = 56.1°
  • C = 180° - (A + B) = 180° - (27.3° + 56.1°) = 96.6°

Correct choice is A.

3 0
3 years ago
THIS IS URGENT!<br> add 7-9=7+(-9)
Burka [1]

Answer:

-3=3

<h2><em>Hope this helps!!!</em></h2>
7 0
3 years ago
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