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natita [175]
3 years ago
6

What math properties are these equations?

Mathematics
1 answer:
gulaghasi [49]3 years ago
7 0
Hmm. This is a bit difficult, but they all have to do with multiplication. The first and third equations have to belong to commutative property of multiplication, because you can switch the order of them and still get the same answers. The second question would be associative property of multiplication, because there are parenthesis around two numbers and you can move the parenthesis without switching the order of the numbers, while still getting the same answer.
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A study found that, in 2005, 12.5% of U.S. workers belonged to unions (The Wall Street Journal, January 21, 2006). Suppose a sam
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Answer:

There is not enough evidence to support the claim that union membership increased.  

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 400

p = 12.5% = 0.125

Alpha, α = 0.05

Number of women belonging to union , x = 52

First, we design the null and the alternate hypothesis  

H_{0}: p = 0.125\\H_A: p > 0.125

The null hypothesis sates that 12.5% of U.S. workers belong to union and the alternate hypothesis states that there is a increase in union membership.

This is a one-tailed(right) test.  

Formula:

\hat{p} = \dfrac{x}{n} = \dfrac{52}{400} = 0.13

z = \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

Putting the values, we get,

z = \displaystyle\frac{0.13-0.125}{\sqrt{\frac{0.125(1-0.125)}{400}}} = 0.3023

Now, we calculate the p-value from the table.

P-value = 0.3812

Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept the null hypothesis.

Conclusion:

Thus, there is not enough evidence to support the claim that union membership increased.

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Step-by-step explanation:

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Answer:

(4,5)

Step-by-step explanation:

Initial location of Joshua in the shopping mall is expressed according to the coordinate (12, -5)

If he undergoes a translation of 8 steps to the left and 10 steps upwards, this means that he moves 8 steps towards the negative x axis and 10 steps towards the positive y axis. The new coordinate will be gotten by adding the translation (-8, 10) to the initial coordinate as shown

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