Answer:
A sample size of 128 is needed.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find the margin of error M as such

In which
is the standard deviation of the population(square root of the variance) and n is the size of the sample.
How large should a sample be if the margin of error is 1 minute for a 93% confidence interval
We need a sample size of n, which is found when
. We have that
. So





Rounding up
A sample size of 128 is needed.
Answer:
The exponent -9 makes the given statement true.
Step-by-step explanation:
We have been given an incomplete mathematical statement and we need to figure out the exponent for 5 on the right hand side to complete the statement.
The given incomplete statement is
.
Let us rewrite the left hand side of the expression by moving the exponential term to the numerator using exponent property. As per this property, if we shift an exponential term from denominator to numerator (or vice versa), the sign of exponent changes.
Therefore, we get:

Now that we have common bases on both the sides, we can equate the exponents. And upon equating the exponents, we can see that the 'question mark' should be replaced by -9 in order for statement to be true.
Therefore, exponent -9 on the right hand side will make the statement true.
Answer:
You have 7,167
Step-by-step explanation: