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andrezito [222]
3 years ago
11

Find the value of x 6x+2-2x=3x+14-x

Mathematics
2 answers:
Lubov Fominskaja [6]3 years ago
7 0

Step-by-step explanation:

x will equal 6

hope this helps bro if u need the explanation I'll explain to u if needed

Finger [1]3 years ago
7 0

6x + 2 - 2x = 3x + 14 - x

6x - 2x + 2 = 3x - x + 14

4x + 2 = 2x + 14

4x - 2x = 14 - 2

2x = 12

x = 12/2

x = 6

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Suppose we wish to demonstrate that there is a difference between the proportions of wives and husbands who do laundry at home.
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From this study:

The null hypothesis:

H_o : p_1 =p_2

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This test is a two-tailed test.

However; we are told that the wives have 44 success out of 66, then the number of failures will be 22.

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\hat p_1 = \dfrac{44}{66}

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Similarly, the husbands have 18 success out of 46, then the number of failures will be 28

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\hat p_2 = \dfrac{18}{46}

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The pooled proportion p = \dfrac{18+44}{66+46}

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The estimated standard error S.E is:

= \sqrt{\dfrac{ \bar p(1- \bar p)}{n_1} +\dfrac{ \bar p(1-\bar p)}{n_2}}

= \sqrt{ 0.55357(1-0.55357) \Big( \dfrac{1}{66} + \dfrac{1}{46} \Big)}

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The Z test statitics can now be computed as:

Z = \dfrac{ \hat p_1 - \hat p_2}{\sqrt{\dfrac{ \bar p(1- \bar p)}{n_1} +\dfrac{ \bar p(1-\bar p)}{n_2}}}

Z = \dfrac{0.6667 -0.3913}{0.0955}

Z = 2.88

Th p -value from the test statistics is:

p-value = 2P(Z > 2.88)

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Thus, at 0.01 significance level, we reject the null hypothesis because, p-value is less than that (i.e. significance level)

Conclusion:

We conclude that there is a significant  difference between the proportions.

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