Division<span>. If two </span>powers<span> have the </span>same base<span> then we can </span>divide<span> the </span>powers<span>. When we </span>divide powers<span> we </span>subtract<span> their </span>exponents<span>. A negative </span>exponent<span> is the </span>same<span>as the reciprocal of the positive </span><span>exponent</span>
Answer:
Larger sample size gives less std error and hence test statistic is larger.
Step-by-step explanation:
Given that a newspaper is conducting a statewide survey concerning the race for governor. The newspaper will take a simple random sample of n registered voters and determine X = the number of voters that will vote for the Democratic candidate. Is there evidence that a clear majority of the population will vote for the Democratic candidate
Group I II
Success 640 64
Total 1200 120
p 0.533333333 0.533333333
q 0.466666667 0.466666667
se 0.014401646 0.045542003
p diff 0.033333333 0.033333333
Z 2.314550249 0.731925055
p 0.01 0.233
we find that though p is the same, std error is very small for larger sample size thus making z statistic much bigger. So we get p value less than 0.05 whereas for 120 sample size, std error is large so Z statistic is small thus making p value to accept null hypothesis
60 square feet = 8640 square inchs
So, 60 square feet = 60 × 144 = 8640 square inchs.
The percentage form of given fraction is 60% and the hundredths form is 0.60
According to the statement
we have given that the a fraction and we have to find the percentage of that fraction and write in the form hundredths.
So, For this purpose,
The given fraction is 12/20.
Then the definition of the percentage is that
The Percentage, a relative value indicating hundredth parts of any quantity.
so, the percentage of given fraction is :
Percentage fraction = 12/20 * 100
After solving it, The percentage fraction will become:
Percentage fraction = 60%
and Now convert into the hundredths form then
In the hundredths form it will become
from 60% to 0.60.
So, The percentage form of given fraction is 60% and the hundredths form is 0.60
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(2^8 *3^-5* 6^0)^-2 * ((3^-2)/(2^3))^4 * 2^28
anything to the 0 power is 1
(2^8 *3^-5* 1)^-2 * ((3^-2)/(2^3))^4 * 2^28
using the power of power property to take the power inside
(2^(8*-2) *3^(-5* -2) * (3^-2*4)/(2^3*4) * 2^28
simplify
2^ -16 * 3^10 * 3^-8 /2*12 * 2^28
get rid of the division by making the exponent negative
2^-16 * 3^10 * 3^-8 *2*-12 * 2^28
combine exponents with like bases
2^(-16-12+28) * 3^(10-8)
2^(0) *3^2
anything to the 0 power is 1
1*9
9
