Divide. −3/8÷−6/7 . plsssss help
2 answers:
<u>Answer:</u>
The solution of −3/8÷−6/7 is
<u>Solution:</u>
The given equation is
In the above equation we can see that more than one mathematical operator has been used.
To figure out which one to solve first we need to follow the BODMAS rule.
BODMAS mean brackets, of, division, multiplication, addition and subtraction.
To make the calculation simply we will invert one of the fractions. This will make the division operator into a multiplication one.
This equation can be simplified as 6 is divisible by 3. Also the negative signs cancel out each other.
On multiplying the remaining terms we get;
Hence the solution of −3/8÷−6/7 is
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8%
create a fraction of the 4 states out of 50 and multiply by 100% to express as a percentage, that is
× 100% =
= 8%
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
Where observed frequency
Expected frequency
Calculate the test statistic value, x²
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.