Answer: 12 -8 = 4
Step-by-step explanation:
Answer: 4
Step-by-step explanation:
In mathematics there is a rule of exponents where we can "distribute" the powers/exponents in the numerator and denominator of any expression. Therefore, given an expression as
, the exponent n can be "distributed" as:
.
In our case, the power, n=11; a=7 and b=4. Thus, the expression
, can be written as
.
Thus, out of the given options, option A is the correct option.
Answer:
Step-by-step explanation:
From the given information;
The null hypothesis & alternative hypothesis:

The test statistics can be computed as:




The p-value = 2(Z > 2.11) since this is a two-tailed test
The p-value = 2( 1 - Z < 2.11)
The p-value = 2 (1 -0.9826)
The p-value = 2 (0.0174)
The p-value = 0.0348
Decision Rule: To reject the
if the p-value is less than 
Conclusion: We fail to reject
and conclude that the population mean = 2, thus the machine is properly adjusted.