Simplify. Assume all variables and radicands represent non-negative real numbers.
A. 16x4
B. 4x2
C. 4x4
D. 4x8
Answer: C
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Use logax = (ln x)/(ln a) to calculate the logarithm. Round to the nearest ten thousandth.log4.2 177
A. 42.1429 B. 2.2480 C. 0.2772 D. 3.6069
A hypothesis test is to be performed. Describe the two possible outcomes of the test using the context of the given situation.An environmental group believes that the health of the residents of Castletown is adversely affected by the oil refinery in their town. It believes that in Castletown, the proportion of children who suffer from asthma is higher than the nationwide proportion of 9.1%.The hypotheses are as follows:Null hypothesis: proportion of Castletown children with asthma = 9.1% Alternative hypothesis: proportion of Castletown children with asthma > 9.1%
A. Rejecting the null hypothesis means there is insufficient evidence that the proportion of Castletown children with asthma is equal to 9.1% Failing to reject the null hypothesis means there is insufficient evidence to conclude that the proportion of Castletown children with asthma is greater than 9.1% B. Rejecting the null hypothesis means there is evidence that the proportion of Castletown children with asthma is greater than 9.1% Accepting the null hypothesis means there is evidence to conclude that the proportion of Castletown children with asthma is equal to 9.1% C. Rejecting the null hypothesis means there is evidence that the proportion of Castletown children with asthma is not equal to 9.1% Accepting the null hypothesis means there is evidence to conclude that the proportion of Castletown children with asthma is equal to 9.1% D. Rejecting the null hypothesis means there is evidence that the proportion of Castletown children with asthma is greater than 9.1% Failing to reject the null hypothesis means there is insufficient evidence to conclude that the proportion of Castletown children with asthma is greater than 9.1%
Perform the operation and write the result in the standard form.(9 - 3i)(2 + 9i)
A. -9 - 87i B. 45 + 75i C. 45 - 75i D. -27i2 + 75i - 18
Rewrite the expression as the sum and/or difference of logarithms, without using exponents. Simplify if possible.log8
A. log813 - log87
B. log87 - log8
C. log4 - log47
D. log8 + log87