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Sphinxa [80]
2 years ago
6

Please help me do this​

Mathematics
1 answer:
Sever21 [200]2 years ago
7 0

Answer:

Step-by-step explanation:

(3x + 1)/x = 1/(x -3)                Cross multiply

(3x + 1)(x - 3) = x                   Remove the brackets. Use FOIL

f:3x*x = 3x^2

o:3x*(-3) = -9x

i:1*x = x

L : 1 * - 3 = -3

FOIL: 3x^2 -9x +x - 3

FOIL: 3x^2 - 8x - 3

3x^2 - 8x - 3 = x                  Subtract x from both sides

3x^2 - 8x -x - 3 = 0             Combine

3x^2 - 9x - 3 = 0                 Factor

It's rather ugly. I had to use the quadratic equation

a = 3

b = - 9

c = - 3

x1 = 3.3

x2 = - 0.3

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Kim wants to determine a 90 percent confidence interval for the true proportion of high school students in the area who attend t
PolarNik [594]

Answer:

We need a sample of at least 752 students.

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}.

The margin of error of the interval is:

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

90% confidence level

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

How large of a sample must she have to get a margin of error less than 0.03

We need a sample of at least n students.

n is found when M = 0.03.

We have no information about the true proportion, so we use \pi = 0.5.

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

0.03 = 1.645\sqrt{\frac{0.5*0.5}{n}}

0.03\sqrt{n} = 1.645*0.5

\sqrt{n} = \frac{1.645*0.5}{0.03}

(\sqrt{n})^{2} = (\frac{1.645*0.5}{0.03})^{2}

n = 751.67

Rounding up

We need a sample of at least 752 students.

6 0
4 years ago
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Step-by-step explanation:

7 0
3 years ago
Please help this is due today!!
Roman55 [17]

Answer:

F(x) plus or minus would shift up or down...

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3 years ago
Solve this system of equations using the substitution method.
Bingel [31]

Answer:

x = 1.2

y = 6.6

Step-by-step explanation:

1) y= -2x+9

2) 8x-3=y

Substitute y in equation 1 using y in equation 2.

8x - 3 = -2x + 9

+ 3 on both sides

8x = -2x + 12

+ 2x on both sides

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To find y, plug in x

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Hope this helps :)

5 0
3 years ago
If x = -3, find<br> pls answer
PolarNik [594]

Answer:

x² - 1 = 8

Step-by-step explanation:

Given the following algebraic expression;

x² - 1

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Substituting the value of x, we have;

x² - 1 = (-3)² - 1

x² - 1 = 9 - 1

x² - 1 = 8

Method II.

x² - 1 = (x - 1)(x + 1)

Substituting the value of x, we have;

x² - 1 = (-3 - 1)(-3+ 1)

x² - 1 = -4(-2)

x² - 1 = 8

6 0
3 years ago
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