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Mariana [72]
3 years ago
6

Which of the following statements is true? When rolling a fair number cube - ____________ A) the theoretical probability is alwa

ys greater than the experimental probability. B) the theoretical probability is always less than the experimental probability. C) the more times the cube is rolled the closer the experimental probability gets to theoretical probability. D) the number 7 will appear more than the
Mathematics
2 answers:
tiny-mole [99]3 years ago
7 0
I believe that the answer is C because lets say you decide that the cube will roll on 1 six times. if you roll the cube 6 times, then there is a 1/6 probability of the cube landing on 1, but the more times you roll the cube, the more chances there will be of the number landing that many times as you theorized 
Softa [21]3 years ago
3 0
The answer is c hope that helps
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2x + 5y = 8<br> x - 2y = -5<br> Simultaneously pleasee
mario62 [17]

Answer:

(- 1, 2 )

Step-by-step explanation:

2x + 5y = 8 → (1)

x - 2y = - 5 → (2)

multiplying (2) by - 2 and adding to (1) will eliminate x

- 2x + 4y = 10 → (3)

add (1) and (3) term by term to eliminate x

0 + 9y = 18

9y = 18 ( divide both sides by 9 )

y = 2

substitute y = 2 into either of the 2 equations and solve for x

substituting into (1)

2x + 5(2) = 8

2x + 10 = 8 ( subtract 10 from both sides )

2x = - 2 ( divide both sides by 2 )

x = - 1

solution is (- 1, 2 )

3 0
2 years ago
Read 2 more answers
Johann wants to build a set of wood shelves using a piece of wood that is 83 ½ inches long. Each shelf is an equal length of 12
Oksanka [162]

Answer:

He'll be able to make 6 shelves.

Step-by-step explanation:

In order to know haw many shelves he can make we need to take the total amount of material and divide it by the amount of material required for each shelve. We have:

total amount = 83 1/2 inches = 83.5 inches

amount per shelve = 12 3/4 inches = 12.75 inches

amount of shelves = total amount/amount per shelve

amount of shelves = 83.5/12.75 = 6.55 shelves

Since he can't make half shelves he'll be able to make 6 shelves and have left over material.

3 0
3 years ago
N is a positive integer
Murrr4er [49]

Part (1)

n is some positive integer. Let's say for now that n is even. So n = 2k, for some integer k

This means n-1 = 2k-1 is odd since subtracting 1 from an even number leads to an odd number.

Now multiply n with n-1 to get

n(n-1) = 2k(2k-1) = 2m

where m = k(2k-1) is an integer

The result 2m is even showing that n(n-1) is even

------------

Let's say that n is odd this time. That means n = 2k+1 for some integer k

And also n-1 = 2k+1-1 = 2k showing n-1 is even

Now multiply n and n-1

n(n-1) = (2k+1)(2k) = 2k(2k+1) = 2m

where m = k(2k+1) is an integer

We've shown that n(n-1) is even here as well.

------------

So overall, n(n-1) is even regardless if n is even or if n is odd.

Either n or n-1 will be even. If you multiply an even number with any number, the result will be even.

=======================================================

Part (2)

n is some positive integer

2n is always even since 2 is a factor of 2n

2n+1 is always odd because we're adding 1 to an even number. The sequence of integers goes even,odd,even,odd, etc and it does this forever.

-----------

Another way to see how 2n+1 is odd is to divide 2n+1 over 2 and you'll find that we get (2n+1)/2 = 2n/2+1/2 = n+0.5

The 0.5 at the end is not an integer, so there's no way that (2n+1)/2 is an integer; therefore 2n+1 is odd.

6 0
2 years ago
Point M is located in the third quadrant of the coordinate plane, as shown.
nevsk [136]

Answer:

It is in quadrant three

Step-by-step explanation:

The points of M means there x and y will both be negatives.

5 0
3 years ago
Read 2 more answers
HELP PLS
Maru [420]
Um we need to see the diagram in order to answer this question sorry...but have a good day :)
8 0
3 years ago
Read 2 more answers
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