All categories

3 years ago

Name the property shown by each statement.

1 answer:

5 0

Most of these problems are the commutative property:

Addition
a + b = b + a

Multiplication
a * b = b * a

and the associative property:

Addition
(a + b) + c = a + (b + c)

Multiplication
(a * b) * c = a * (b * c)

There's also the Identity property:

Addition \ Subtraction:
a + 0 = a \ a - 0 = a

Multiplication \ Division:
a * 1 = a \ a / 1 = a

You might be interested in

Simplify by factoring. What are the excluded values? Choose all that apply.

makvit [3.9K]

Answer:

x = -2

x = 8

Step-by-step explanation:

Excluded values are the ones which make the denominator zero

3x² + x - 10

3x² + 6x - 5x - 10

3x(x + 2) - 5(x + 2)

(x + 2)(3x - 5)

x² - 6x - 16

x² - 8x + 2x - 16

x(x - 8) + 2(x - 8)

(x - 8)(x + 2)

[(x + 2)(3x - 5)] ÷ [(x - 8)(x + 2)]

(3x - 5)/(x - 8)

So excluded values are 8, -2

6 0

3 years ago

Find the cost of tiling a rectangular plot of land 300m long and 150m wide at the rate of $6 per hundred square m

Ugo [173]

Answer:

hope this helps you.................

3 0

2 years ago

What is the minimum value of the function y=|x+3|-2 ?

lesya692 [45]

Minimum value of the function is - 2

hope that helps

6 0

3 years ago

A large dining room table is in the shape of a semi circle diameter 12 feet. What is the square feet closest to the area ? Radiu

Zarrin [17]

No, the radius is not 3.14 . The radius is 1/2 of the diameter . . . That's 6 feet.
If you see 3.14 on the sheet, then that's the number you're supposed to use for pi .

The area of any circle is (pi) x (radius squared).
If the table were a full circle, its area would be (pi) x (6 squared) = 36 pi square feet.

But it's only half of that . . . 18 pi = (18) x (3.14) = <u>56.52 square feet</u>.

That's called the "area" of the table, not the "square feet" of the table.

And another thing: I see you're asking for the "closest" number. Don't ask me
how I know this, but I'm pretty sure that right under this question wherever you
copied it from, there's a list of choices, and when you posted the question, for
some reason you decided not to share the list.

7 0

3 years ago

A data set of 27 different numbers has a mean of 33 and a median of 33. A new data set is

Svetllana [295]

Answer:

Option D.

Step-by-step explanation:

Suppose that we have a set of N values:

{x₁, x₂, ..., xₙ}

The median is the value in the middle, and the mean is calculated as:

$M = \frac{(x_1 + x_2 + x_3 ... + x_n)}{N}$

Because here we have "the median" then we will assume that N is odd, and there is only one median, the value "k" (if N was even, the median would be the mean of the two middle values, that case is really similar to the case where N is odd, so solving only one of the cases is enough)

Now we add 7 to all the values greater than the median

We subtract 7 to all values smaller than the median.

Then the median remains unchanged (because we did not add nor subtract anything to the median).

The new mean will be:

$M' = \frac{(x_1 - 7) + (x_2 - 7) + ... + (x_{k}) + ... + (x_n + 7)}{N} = \frac{(x_1 + x_2 + ... + x_n) + (-7)*(n/2 - 0.5) + 7*(n/2 - 0.5)}{N} = \frac{(x_1 + x_2 + ... + x_n)}{N} = M$

So the mean does not change.

Because the mean is computed as the sum of the numbers divided by N, and the mean does not change, and N does not change, then the sum of the numbers does not change.

Finally, the standard deviation is computed as:

$SD = \sqrt{\frac{(x_1 - M)^2 + ... + (xn - M)^2}{N} }$

Because M does not change, if we add or subtract numbers to some of the values, the standard deviation will change (Because all the terms are squared, so the added and subtracted sevens don't cancel like in the previous cases)

Then the only value that does not have the same value in both the original and new data sets is the standard deviation.

6 0

2 years ago