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Sidana [21]
2 years ago
10

a rational number m is called a perfect square if and only if for some positive rational number, m equals​

Mathematics
1 answer:
dmitriy555 [2]2 years ago
8 0
If m= a number that can be square rooted to give a whole number
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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
What is fraction form for 47/100
Ivanshal [37]

Answer:

47/100

Step-by-step explanation:

It is already in fraction form.

5 0
3 years ago
Read 2 more answers
If f(x)=2x^2+3 then f(x-1)=2x^2+4x+5 <br> true or false
TEA [102]

Hello from Hello from MrBillDoesMath!

Answer:

False.


Discussion:

See attached file for discussion.

Thank you,

MrB

7 0
4 years ago
What is the perimeter of a rectangle with a length of 6cm and a width of<br> 5cm?
Nataliya [291]

Answer:

perimeter = 22 cm

Step-by-step explanation:

perimeter = 2(L + W) = 2(6 + 5) = 22 cm

8 0
3 years ago
Read 2 more answers
write an equation in y=mx+b for a line that passes through (3,-4) &amp; has a slope of -3. you can write it in point-slope and c
dedylja [7]
Y = -3x + b
Plug in point
-4 = -3(3) + b
-4 = -9 + b, b = 5
Solution: y = -3x + 5
5 0
3 years ago
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