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Lesechka [4]
3 years ago
11

If x = 3+root8 find the value of :- 1/x​

Mathematics
1 answer:
qaws [65]3 years ago
3 0

Answer:

<u>Value</u><u> </u><u>is</u><u> </u><u>3</u><u> </u><u>-</u><u> </u><u>√</u><u>8</u>

Step-by-step explanation:

x = 3 +  \sqrt{8}  \\   \\ \frac{1}{x}  =  \frac{1}{3 +  \sqrt{8} }  \\

rationalise the denominator:

=  \frac{1}{3 +  \sqrt{8} } . \frac{3 -  \sqrt{8} }{3 -  \sqrt{8} }  \\  \\  =  \frac{3 -  \sqrt{8} }{ {3}^{2}  -  {( \sqrt{8}) }^{2} }  \\  \\  =  \frac{3 -  \sqrt{8} }{9 - 8}  \\  \\  = 3 -  \sqrt{8}

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A random sample of 200 voters in a town is selected, and 114 are found to support an annexa- tion suit. Find the 96% confidence
EastWind [94]

Answer:

a) 96% CI: 0.51\leq\pi\leq 0.63

b) If we estimate that the fraction of voters is 0.57, we can claim with 96% confidence that the error is equal or less than 0.06 from the estimated proportion.

Step-by-step explanation:

The proportion of the sample is

p=\frac{114}{200}=0.57

The standard deviation of the sample proportion is

\sigma=\sqrt{\frac{p(1-p)}{n} } =\sqrt{\frac{0.57(1-0.57)}{200} } =\sqrt{\frac{0.2451}{200} } =0.035

For a 96% CI, the z-value is z=1.751.

Then, the 96% CI can be written as:

p-z\cdot \sigma\leq\pi\leq p+z\cdot \sigma\\\\0.57-1.751*0.035\leq\pi\leq 0.57+1.751*0.035\\\\0.57-0.06\leq\pi\leq 0.57+0.06\\\\0.51\leq\pi\leq 0.63

b) If we estimate that the fraction of voters is 0.57, we can claim with 96% confidence that the error is equal or less than 0.06 from the estimated proportion.

6 0
3 years ago
What is the value of x?​
Maurinko [17]
Answer:
2
Explanation:
5 0
3 years ago
Read 2 more answers
Does anyone understand this?
Vinil7 [7]
The second one would be true
Hope this helped.
6 0
3 years ago
If a nonlinear system of equations contains one linear function that never touches the quadratic function, then the system has w
aivan3 [116]

A nonlinear system of equation is a system of equation that has at list one nonlinear equation

A nonlinear system of equations that has one linear function that never intersects the quadratic function has; <u>No solution</u>

<u />

The reason the option selected for the number of solutions is correct is as follows;

Required:

The number of solutions a system of nonlinear equations that do not intersect have

Solution:

The given system of equation is presented as follows;

Linear function: f(x) = m·x + c

Quadratic function: f(x) = a·x² + b·x + c

Given that the linear function never touches the quadratic function, we have;

a·x² + b·x + c ≠ m·x + c

Therefore, the equations are never equal hand they have no common solution

Therefore, the correct option is <u>No solution</u>

<u />

Learn more about nonlinear system of equations here:

brainly.com/question/11650202

brainly.com/question/10571443

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8 0
2 years ago
Ilus
geniusboy [140]

Answer:

<h2>         \bold{B.\quad \ y^3-\dfrac R2}</h2>

Step-by-step explanation:

"half of R" it is:   \dfrac R2

"y cubed" it is:   y^3

Therefore, half of R subtracted from y cubed is:  y^3-\dfrac R2

8 0
3 years ago
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