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3 years ago

13

The length of a rectangle is 9 centimeters less than its width. What are the dimensions of the rectangle if its area is 112 squa

re centimeters?

1 answer:

lbvjy [14]3 years ago

4 0

Do 9x112 and u will get the answer

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17. When a single set of values is randomly divided into two equal groups, explain how the means of these two groups may be very

joja [24]

If you take 2 groups of equal cardinality, it could happen that, for example, many of the higher values go to the first group and therefore, many of the low values go to the second group, making their respective means quite different and different from the original sample mean. This could even go worse due to the possible existence of outliers, that is, values that are far different than the sample mean. An outlier tend to disrup the mean of a sample, but for smaller samples the result is much dramatic.

For example, let X be {1,2,3,4,5,6,7,8,9,100}

The elements of X sum 145, hence the mean of X is 14,5. Let divide X in two groups

Y = {1,2,3,5,9}

Z = {4,6,7,8,100}

The elements of Y sum 20, so its mean is 4

The elements of Z sum 125, so its mean is 25

Both means are quite different from each other and quite different from the mean of X. Note that if we take the mean of the means the result is 4+25/2 = 14,5 which is equal to the mean of X.

7 0

3 years ago

Which expression gives the determinant of the matrix

BartSMP [9]

If the matrix is of 2 by 2 then we can find the determinant of the matrix.

$\begin{bmatrix}a & b\\ c & d\end{bmatrix}$

Then (ad - bc ) gives you the determinant of the matrix.

For example,

$\begin{bmatrix} 2 & 4\\ 1 & -2 \end{bmatrix}$

= (2)(-2) - (1)(4)

= - 4 - 4

$\begin{bmatrix} 2 & 4\\ 1 & -2 \end{bmatrix}$ = -8

3 0

3 years ago

Read 2 more answers

What is the distance between the points? Round to the nearest tenth if necessary.

Svetlanka [38]

Answer:

1.7

Step-by-step explanation:

You do rise over run or y/x to find your answer. You go over 6 and up 10 to get from the lower point to the one on top. 10/6=1.666667 and rounded will be 1.7

8 0

2 years ago

Read 2 more answers

Cassandra spends 6.75 hours each day at school.<br> Round the amount of time to the nearest hour.

Alja [10]

Answer:

6.75 round to 7

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

What is the slope of (8,3) and (-4,-6)?

Nonamiya [84]

<u>Answer:</u> The slope of the line formed by these two points is $\frac{3}{4}$

<u>Step-by-step explanation:</u>

To calculate the slope, we use the formula:

$Slope=\frac{y_2-y_1}{x_2-x_1}$

For the coordinates given:

$x_1=8\\y_1=3\\x_2=-4\\y_2=-6$

Putting values in above equation, we get:

$Slope=\frac{(-6-3)}{(-4-8)}\\\\Slope=\frac{-9}{-12}\\\\Slope=\frac{3}{4}$

Hence, the slope of the line formed from these two coordinates is $\frac{3}{4}$

8 0

3 years ago