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3 years ago

3d - e = 7 D + e = 5 Use the linear combination method

Mathematics

1 answer:

Norma-Jean [14]3 years ago

4 0

3D - e = 7
D + e = 5
4D = 12
D = 3
3 + e = 5
e = 2

Your answers are D = 3 and e = 2

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Suppose that at a state college, a random sample of 41 students is drawn, and each of the 41 students in the sample is asked to

ra1l [238]

Answer:

The confidence interval for 90% confidence would be narrower than the 95% confidence

Step-by-step explanation:

From the question we are told that

The sample size is n = 41

For a 95% confidence the level of significance is $\alpha = [100 - 95]\% = 0.05$ and

the critical value of $\frac{\alpha }{2}$ is $Z_{\frac{\alpha }{2} } =Z_{\frac{0.05 }{2} }= 1.96$

For a 90% confidence the level of significance is $\alpha = [100 - 90]\% = 0.10$ and

the critical value of $\frac{\alpha }{2}$ is $Z_{\frac{\alpha }{2} } =Z_{\frac{0.10 }{2} }= 1.645$

So we see with decreasing confidence level the critical value decrease

Now the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{s}{\sqrt{n} }$

given that other values are constant and only $Z_{\frac{\alpha }{2} }$ is varying we have that

$E\ \ \alpha \ \ Z_{\frac{\alpha }{2} }$

Hence for reducing confidence level the margin of error will be reducing

The confidence interval is mathematically represented as

$\= x - E < \mu < \= x + E$

Now looking at the above formula and information that we have deduced so far we can infer that as the confidence level reduces , the critical value reduces, the margin of error reduces and the confidence interval becomes narrower

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3 years ago

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Svetach [21]

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3 years ago

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Answer:

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Step-by-step explanation:

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4 years ago

A number decreased by 4 is greater than 13 solve pls

eimsori [14]

Answer:

Year 10 Interactive Maths - Second Edition

Problem Solving

Linear equations are often used to solve practical problems that have an unknown quantity. We use a suitable pronumeral to represent the unknown quantity, translate the information given in the problem into an equation, and then solve the equation using the skills acquired earlier in this chapter.

Example 11

If a number is increased by 8, the result is 25. Find the number.

Solution:

Let x be the number. Increasing x by 8 gives x + 8, which we are told is 25. Therefore, x + 8 = 25. Subtract 8 from both sides to find x = 17. So, the number is 17.

Step-by-step explanation:

I hope this helps!!!

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3 years ago

What is the value of x in the solution to this system of equations?

siniylev [52]

Answer:

D) x=9

Step-by-step explanation:

x = 2y- 5

2y = x + 5

y = (x+5) / 2

4x + 7(x+5)/2 = 85

8x + 7x + 35 = 85*2

15x + 35 = 170

15x = 170 - 35 = 135

x = 135/15 = 9

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3 years ago