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dexar [7]
4 years ago
8

The following examples illustrate the commutative property of addition. 7 + 8 + 3 = 7 + 3 + 8 4.6 + 11.4 = 11.4 + 4.6 Study the

examples, then choose the statement that best describes the property. a + b = a – b
a + (b + c) = (a + b) + c
a + b = a + c
a + b = b + a
Mathematics
2 answers:
garik1379 [7]4 years ago
4 0

A+b=b+a because communitive is he move stuff around and the only difference is a and b being moved around.

Klio2033 [76]4 years ago
3 0

Answer:

a + b = b + a

Step-by-step explanation:

The commutative property of addition allows us to "switch" values around an addition sign.

The first choice is a+b = a-b.  The operation is changed; the problem is not just flipped around.  This is not the commutative property.

The second choice is a+(b+c) = (a+b)+c.  In this problem, the parentheses are switched; this is an example of the associative property, not the commutative property.

The third choice is a+b = a+c.  The values that are added are changed, not flipped; this is not the commutative property.

The last choice is a+b = b+a.  In this equation, the values are flipped around the addition symbol; this is the commutative property.

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The Ransin Sports Company has noted that the size of individual customer orders is normally distributed with a mean of $112 and
Mashutka [201]

Answer: 2.71

Step-by-step explanation:

We know that the formula to calculate the standard error is given by :-

S.E.=\dfrac{\sigma}{\sqrt{n}}, where \sigma is the standard deviation and 'n' is the sample size.

Given : Standard deviation : \sigma=\$9

Sample size : n=11

Then , the standard error of the mean is given by :-

S.E.=\dfrac{9}{\sqrt{11}}=2.7136021012\approx2.71

Hence, the standard error of the mean = 2.71

8 0
3 years ago
Each variable indicates different weights. Which weight can you find? Find it.
SOVA2 [1]

Answer:

We can only be certain that <em>a</em> weighs 12.

There are infinitely many possiblities for <em>b</em> and <em>c</em>.

Step-by-step explanation:

We have the equation:

a+b+c+a+c+b+a+c=12+a+a+b+b+c+c+c

Each variable indicates a weight.

We would like to determine the weights of each variable (if possible).

First, we can rearrange the equation to acquire:

(a+a+a)+(b+b)+(c+c+c)=12+(a+a)+(b+b)+(c+c+c)

We can combine like terms:

3a+2b+3c=12+2a+2b+3c

Notice that both sides have 2<em>b</em> and 3<em>c</em>. Therefore, it is possible for us to cancel them since each nullify the other side. So, we will subtract 2<em>b</em> and 3<em>c</em> from both sides. This yields:

3a=12+2a

Therefore, we can solve for <em>a</em>. Subtract 2<em>a</em> from both sides:

a=12

Hence, the weight of <em>a</em> is 12.

Using the newly acquired information, we can go back to our simplified equation:

3a+2b+3c=12+2a+2b+3c

Since <em>a</em> is 12:

3(12)+2b+3c=12+2(12)+2b+3c

Evaluate:

36+2b+3c=12+24+2b+3c

Simplify:

36+2b+3c=36+2b+3c

We can subtract 36 from both sides:

2b+3c=2b+3c

As you can see, this is a true statement.

Since this is a true statement, there are infinitely many possible values for <em>b</em> and <em>c</em>.

Therefore, the only weight we are <em>certain</em> of knowing is weight <em>a</em> weighing 12.

8 0
3 years ago
Mislabeled seafood In 2013 the environmental group Oceana (usa.oceana.org) analyzed 1215 samples of seafood purchased across the
Step2247 [10]

Using the z-distribution, it is found that the 95% confidence interval for the proportion of all seafood sold in the United States that is mislabeled or misidentified is (0.3036, 0.3564).

<h3>z-distribution interval:</h3>

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of \alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

  • In which z is the z-score that has a p-value of \frac{1+\alpha}{2}.

For this problem:

  • 1215 samples, hence n = 1215.
  • 33% was mislabeled or misidentified, hence p = 0.33.
  • 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so z = 1.96.

<h3>The lower limit of this interval is:</h3>

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.33 - 1.96\sqrt{\frac{0.33(0.67)}{1215}} = 0.3036

<h3>The upper limit of this interval is:</h3>

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.33 + 1.96\sqrt{\frac{0.33(0.67)}{1215}} = 0.3564

The 95% confidence interval for the proportion of all seafood sold in the United States that is mislabeled or misidentified is (0.3036, 0.3564).

You can learn more about the use of the z-distribution to build a confidence interval at brainly.com/question/25730047

4 0
3 years ago
Solve the system by substitution <br><br> -8x+y=-9<br> y=7
aleksandr82 [10.1K]
In point for (2,7) and in Equation form x=2 y=7
6 0
3 years ago
In 565656 years, daniel will be 555 times as old as he is right now. how old is he right now?
Taya2010 [7]
In 565656 years Daniel will be 555 times as old as he's right now how old is he right now

Let x be his current age.
"In 565656 years" can be represented by the expression x+565656.
"Will be 555 times as old as he's right now" can be represented bas the expression 555x.
The whole question means that the age of Daniel in 565656 years will be 555 times his age now so x+565656 = 555x.
Solving this equation will find x, so his current age.
x+565656 = 555x
You subtract an x of each side, to have variables on a side, and numbers on an other:
565656 = 555x - x
565656 = 554x
You divide each side by 554
x = 1021.

So Daniel is currently 1021 years old.
3 0
3 years ago
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