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asambeis [7]
3 years ago
9

Factor x^4 -4x^3 -4x^2 +36x-45

Mathematics
1 answer:
Makovka662 [10]3 years ago
3 0

Factor x^4 -4x^3 -4x^2 +36x-45

Answer:

<h2>(x+3)(x−3)(x^2−4x+5)</h2>

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6x2+8x−8

Step-by-step explanation:

6x3+26x2+16x−24

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5 0
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The CEO of a software company is committed to expanding the proportion of highly qualified women in the organization’s staff of
pishuonlain [190]

Answer:

Null Hypothesis, H_0 : p \geq 45%    

Alternate Hypothesis, H_A : p < 45%

Step-by-step explanation:

We are given that the proportion of women in similar sales positions across the country in 2004 is less than 45%.

The collected random sample of size 50 showed that only 18 were women.

<u><em>Let p = proportion of women in similar sales positions across the country in 2004</em></u>

So, Null Hypothesis, H_0 : p \geq 45%    

Alternate Hypothesis, H_A : p < 45%

Here, <u><em>null hypothesis states that</em></u> the proportion of women in similar sales positions across the country in 2004 is more than or equal to 45%.

On the other hand, <u><em>alternate hypothesis states that</em></u> the proportion of women in similar sales positions across the country in 2004 is less than 45%.

The test statistics that would be used here is One-sample z proportion test statistics, i.e;

                        T.S.  =  \frac{\hat p -p}{\sqrt{\frac{\hta p(1-\hat p)}{n} } }  ~ N(0,1)

Hence, the above hypothesis is appropriate for the given situation.

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4.25-5 minutes

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Solve for x using basic trigonometric ratios.
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Sine 35 degrees = x / 20

x = sine 35 degrees * 20

x = .57358 * 20

x = 11.4716


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