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arsen [322]
3 years ago
5

What is the domain of f?

Mathematics
1 answer:
lana [24]3 years ago
3 0

Answer: C) All real values of x such that x \le 0

In other words, x must be 0 or smaller.

===================================================

Explanation:

The reason why is because we must make the stuff under the square root to never be negative. We must make -2x be 0 or larger.

So,

-2x \ge 0 \\\\-2x+2x \ge 0+2x \ \text{ ... add 2x to both sides}\\\\0 \ge 2x\\\\2x \le 0  \ \text{ ... flip both sides, and the inequality sign}\\\\x \le 0/2  \ \text{ ... divide both sides by 2}\\\\x \le 0

As an example, if x = -2, then -2x = -2(-2) = 4 is positive. Applying the square root to a positive number is valid.

But if x = 5, then -2x = -2*5 = -10 is under the square root, which is not allowed.

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(Based on Q1 ~ Q3) According to the Bureau of the Census, 18.1% of the U.S. population lives in the Northeast, 21.9% inn the Mid
vekshin1

Answer:

We can therefore conclude that the geographical distribution of hotline callers could be the same as the U.S population distribution.

Step-by-step explanation:

The null Hypothesis: Geographical distribution of hotline callers could be the same as the U.S. population distribution

Alternative hypothesis: Geographical distribution of hotline callers could not be the same as the U.S. population distribution

The populations considered are the Midwest, South, Northeast, and west.

The number of categories, k = 4

Number of recent calls = 200

Let the number of estimated parameters that must be estimated, m = 0

The degree of freedom is given by the formula:

df = k - 1-m

df = 4 -1 - 0 = 3

Let the significance level be, α = 5% = 0.05

For  α = 0.05, and df = 3,

from the chi square distribution table, the critical value = 7.815

<u>Observed and expected frequencies of calls for each of the region:</u>

<u>Northeast</u>

Observed frequency = 39

It contains 18.1% of the US Population

The probability = 0.181

Expected frequency of call = 0.181 * 200 = 36.2

<u>Midwest</u>

Observed frequency = 55

It contains 21.9% of the US Population

The probability = 0.219

Expected frequency of call = 0.219 * 200 =43.8

<u>South</u>

Observed frequency = 60

It contains 36.7% of the US Population

The probability = 0.367

Expected frequency of call = 0.367 * 200 = 73.4

<u>West</u>

Observed frequency = 46

It contains 23.3% of the US Population

The probability = 0.233

Expected frequency of call = 0.233 * 200 = 46

x^{2} = \sum \frac{(O_{i} - E_{i})  ^{2} }{E_{i} } ,   i = 1, 2,.........k

Where O_{i} = observed frequency

E_{i} = Expected frequency

Calculate the test statistic value, x²

x^{2} = \frac{(39 - 36.2)^{2} }{36.2} + \frac{(55 - 43.8)^{2} }{43.8} + \frac{(60 - 73.4)^{2} }{73.4} + \frac{(46 - 46.6)^{2} }{46.6}

x^{2} = 5.535

Since the test statistic value, x²= 5.535 is less than the critical value = 7.815, the null hypothesis will not be rejected, i.e. it will be accepted. We can therefore conclude that the geographical distribution of hotline callers could be the same as the U.S population distribution.  

7 0
3 years ago
1. What is the difference between 6 and 3<br> A. 6+3<br> B. 6-3<br> C. 6/3<br> D. 6x3
antiseptic1488 [7]

Answer:

B. 6-3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What’s greater -5 or -9
densk [106]

Answer:

-5 is greater

Step-by-step explanation:

-9 is a lesser number than -5 on the number line, making -5 a greater number.

4 0
3 years ago
Read 2 more answers
Thanks for the help! Been stuck on this one for a little while.
igor_vitrenko [27]

Answer:

B. \sqrt{14}

Step-by-step explanation:

Since 3.74 is rounded to the hundredths place, it is not the ideal exact solution for m^2 = 14.

To solve for m you would have to square root m and 14, which gives you \sqrt{14}. This is the best answer for the problem.

8 0
3 years ago
ASAP ASAP ASAP NEED HELP NEED HELP PLSSSSSSSSS
In-s [12.5K]

Answer:

4

9

2

−

5

6

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5

6

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6

4

Step-by-step explanation:

5 0
3 years ago
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