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xenn [34]
3 years ago
10

Simplify: 9 (5x-4) + 4x

Mathematics
2 answers:
m_a_m_a [10]3 years ago
8 0

Answer:

49x+36

Step-by-step explanation:

Hey There!

for this question they would like you to simplify the expression using distributive property

To do this the first step is to distribute the 9 in to everything that is in the parenthesis

9x5x=45x

9x4=36

so now we have

45x+36+4x

the next step is to combine like terms

the only like terms in the expression are 45x and 4x so we just add the two together

45x+4x=49x

so now we have 49x+36

In conclusions the simplified version of that expression is 49x+36

iogann1982 [59]3 years ago
4 0

Answer:

49x-36

Step-by-step explanation:

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Answer:

The 85% onfidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.151, 0.205).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

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

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

Sample of 421 new car buyers, 75 preferred foreign cars. So n = 421, \pi = \frac{75}{421} = 0.178

85% confidence level

So \alpha = 0.15, z is the value of Z that has a pvalue of 1 - \frac{0.15}{2} = 0.925, so Z = 1.44.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 - 1.44\sqrt{\frac{0.178*0.822}{421}} = 0.151

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 + 1.44\sqrt{\frac{0.178*0.822}{421}} = 0.205

The 85% onfidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.151, 0.205).

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3 years ago
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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Given:

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x² + y² + 14 x + 2 y + 14 = 0

We must transform given equation to the canonical form from which we will read requested data.

The canonical form of the circle equation is:

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Where p and q are the coordinates of the center of the circle and r are radius.    (p,q) = (x,y)

x² + 2 · x ·7 + 7² - 7² + y² + 2 · y · 1 + 1 - 1 + 14 = (x+7)² + (y+1) - 49 - 1 + 14 = 0

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