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3 years ago

Which of these shows 9 + 4p rewritten using the commutative property of addition?

2 answers:

7 0

9 + 4p

rewritten using the commutative property of addition = 4p + 9

answer 4p + 9 (first choice)

Eddi Din [679]3 years ago

4 0

Answer:

Option (1) $4p+9$

Step-by-step explanation:

Commutative property of addition states that while adding two real numbers m and n, the order of adding doesn't matter, i.e. we can add, m and n as $m+n$ as well as $n+m$ .

So, we can conclude that the commutative property of addition states that there will be no impact of ordering the terms.

Now, we have $9+4p$

So, by the commutative property of addition we can say that $4p+9$ is same as $9+4p$ .

Hence, the expression shown in option (1) is correct.

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Which of the following is not a pair of congruent line segments?

Wittaler [7]

2nd answer is it i think

4 0

3 years ago

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Suppose that you had the following data set. 500 200 250 275 300 Suppose that the value 500 was a typo, and it was suppose to be

hodyreva [135]

Answer:

$\bar X_B = \frac{\sum_{i=1}^5 X_i}{5} =\frac{500+200+250+275+300}{5}=\frac{1525}{5}=305$

$s_B = \sqrt{\frac{\sum_{i=1}^5 (X_i-\bar X)^2}{n-1}}=\sqrt{\frac{(500-305)^2 +(200-305)^2 +(250-305)^2 +(275-305)^2 +(300-305)^2)}{5-1}} = 115.108$

$\bar X_A = \frac{\sum_{i=1}^5 X_i}{5} =\frac{-500+200+250+275+300}{5}=\frac{525}{5}=105$

$s_A = \sqrt{\frac{\sum_{i=1}^5 (X_i-\bar X)^2}{n-1}}=\sqrt{\frac{(-500-105)^2 +(200-105)^2 +(250-105)^2 +(275-105)^2 +(300-105)^2)}{5-1}} = 340.221$

The absolute difference is:

$Abs = |340.221-115.108|= 225.113$

If we find the % of change respect the before case we have this:

$\% Change = \frac{|340.221-115.108|}{115.108} *100 = 195.57\%$

So then is a big change.

Step-by-step explanation:

The subindex B is for the before case and the subindex A is for the after case

Before case (with 500)

For this case we have the following dataset:

500 200 250 275 300

We can calculate the mean with the following formula:

$\bar X_B = \frac{\sum_{i=1}^5 X_i}{5} =\frac{500+200+250+275+300}{5}=\frac{1525}{5}=305$

And the sample deviation with the following formula:

$s_B = \sqrt{\frac{\sum_{i=1}^5 (X_i-\bar X)^2}{n-1}}=\sqrt{\frac{(500-305)^2 +(200-305)^2 +(250-305)^2 +(275-305)^2 +(300-305)^2)}{5-1}} = 115.108$

After case (With -500 instead of 500)

For this case we have the following dataset:

-500 200 250 275 300

We can calculate the mean with the following formula:

$\bar X_A = \frac{\sum_{i=1}^5 X_i}{5} =\frac{-500+200+250+275+300}{5}=\frac{525}{5}=105$

And the sample deviation with the following formula:

$s_A = \sqrt{\frac{\sum_{i=1}^5 (X_i-\bar X)^2}{n-1}}=\sqrt{\frac{(-500-105)^2 +(200-105)^2 +(250-105)^2 +(275-105)^2 +(300-105)^2)}{5-1}} = 340.221$

And as we can see we have a significant change between the two values for the two cases.

The absolute difference is:

$Abs = |340.221-115.108|= 225.113$

If we find the % of change respect the before case we have this:

$\% Change = \frac{|340.221-115.108|}{115.108} *100 = 195.57\%$

So then is a big change.

8 0

3 years ago

If equation is x + y = 3 and x - y = 7 then the value of x will be?

KiRa [710]

Answer:

x = 5

Step-by-step explanation:

Add the equations

x + y = 3

x - y = 7

––––––––

2x = 10

Divide both sides by2

x = 5

Note: for the equations in the question,

none of the given answers are correct.

4 0

2 years ago

Read 2 more answers

Which ordered pair is a solution to the following system of inequalities? y ≤ –x2 + 8x y > x2 – 3 (–1, 4) (0, 9) (2, 7) (4, 3

kirza4 [7]

(2, 7) are the coordinate which ordered pair is a solution to the following system of inequalities $y \leq -x^2 + 8x \\$ and $y > x^2 - 3$ .

<h3>What is inequality?</h3>

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

we want to find which ordered pair is a solution to the following system of inequalities.

$y \leq -x^2 + 8x \\$

$y > x^2 - 3$

The solution of a inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the inequality is the graph of all solutions of the system.

Graph one line at the time in the same coordinate plane and shade the half-plane that satisfies the inequality.

$y \leq -x^2 + 8x \\\\y = -x^2 + 8x\\\\y > x^2 - 3\\\\$