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d1i1m1o1n [39]
3 years ago
15

Find the domain of the function x/square root of 2x+8

Mathematics
1 answer:
BartSMP [9]3 years ago
8 0
We can start with "All real number," then we eliminate certain value what would cause zero in denominator;

Here, we have denominator of √(2x+8)

We need to exclude value of x from real number such that √(2x+8) = 0 So solve for x here;

√(2x+8) = 0
[√(2x+8) ]² = 0²
2x+8 = 0
2x = -8
x = -4

So we cannot have x to be -4, otherwise denominator would be zero.

So exclude -4 from "All real number"

Now we have domain of (-∞, -4) U (-4, ∞) or All real number; x ≠ -4.
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a previous analysis of paper boxes showed that the standard deviation of the length is 9mm. What is the 98% confidence interval
il63 [147K]
We cannot calculate the confidence interval without the sample size.  However, for the second question, the sample size needed would be 49.

The formula we use is

n=(\frac{z_{\frac{\alpha}{2}}\times \sigma}{E})^2

To find the z-score:
Convert 98% to a decimal:  0.98
Subtract from 1:  1-0.98 = 0.02
Divide by 2:  0.02/2 = 0.01
Subtract from 1:  1-0.01 = 0.99

Using a z-table (http://www.z-table.com) we see that this value is closest to a z-score of 2.33.

Using the z-score, our standard deviation (9) and our margin of error (3), we have:
n=(\frac{2.33(9)}{3})^2=(6.99)^2=48.86\approx 49
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The answer to the question

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I will mark brainliest !
harina [27]

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90 degrees

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Here, we can see a triangle that has the hypotenuse as the diameter of the circumscribed circle. We can infer that the triangle is a right triangle.

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An unknown fraction is between 0 and 1. Which is true about the equivalent percent and decimal?
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Step-by-step explanation:

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