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3 years ago

How many 3 number combinations are possible if you can't repeat the numbers? The numbers range from 0-39

Mathematics

1 answer:

TEA [102]3 years ago

4 0

Answer: 49600

Step-by-step explanation: There are 40 ways to choose the first number

and there are 40 ways to choose the second number.

Now we take some examples to determine how many choices there are for

the third number

If the second number is 23, then the 3rd number cannot be any of these

9 numbers 19,20,21,22,23,24,25,26,or 27, since they are not at least 5

numbers away from 23. Same for all other 40 second numbers.

Let's look at a second example which includes some on both sides of 0.

If second number is 2, we couldn't choose any of the 9 numbers 38,39,0,1,2,3,4,5,6.

So thats 40-9 or 31 choices for the 3rd number.

Answer 40*40*31 = 49600 ways.

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4 years ago

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3 years ago

Write the equation of a line that is parallel to y = 6x +1 and that passes through the point (-7,1).

Dima020 [189]

Answer:

$y=6x+43$

Step-by-step explanation:

We want the equation of a line that is parallel to $y=6x+1$ which also passes through (-7, 1).

Since the new line is parallel, it must have the same slope as the original line.

The slope of the original line is 6.

Hence, the slope of our new line must also be 6.

We know that the slope is 6.

And it passes through the point (-7, 1).

So, we can use the point-slope form:

$y-y_1=m(x-x_1)$

Where m is the slope and (x₁, y₁) is a point.

Substitute:

$y-1=6(x-(-7))$

Simplify:

$y-1=6(x+7)$

Distribute:

$y-1=6x+42$

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3 years ago

"is it possible to have more than one set of seven numbers having a mean of 50 and a standard deviation of 0?"

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4 years ago

Will Give Brainliest<br> What Matrix Results From B+A

anastassius [24]

Answer:

Step-by-step explanation:

Matrix addition. If A and B are matrices of the same size, then they can be added. (This is similar to the restriction on adding vectors, namely, only vectors from the same space R n can be added; you cannot add a 2‐vector to a 3‐vector, for example.) If A = [aij] and B = [bij] are both m x n matrices, then their sum, C = A + B, is also an m x n matrix, and its entries are given by the formula

Thus, to find the entries of A + B, simply add the corresponding entries of A and B.

Example 1: Consider the following matrices:

Which two can be added? What is their sum?

Since only matrices of the same size can be added, only the sum F + H is defined (G cannot be added to either F or H). The sum of F and H is

Since addition of real numbers is commutative, it follows that addition of matrices (when it is defined) is also commutative; that is, for any matrices A and B of the same size, A + B will always equal B + A.

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3 years ago