Hello!
As we can see, our first amount was 95 for the one machine. We are not multiplying it by anything from the second day as it was used the first. There is no 95 in B, and in C and D it is multiplied.
In A, we have a base of 95, plus 25 multiplied by x and y, and this fits the scenario perfectly. Our answer is A.
I hope this helps!
The simplification form of the number expression (2⁴)⁻¹ is 1/2⁴ option (B) one over two raised to the fourth power is correct.
<h3>What is an integer exponent?</h3>
In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
It is given that:
The number expression is:
= (2⁴)⁻¹
Using the properties of the integer exponent:
= 1/2⁴
The above number is one over two raised to the fourth power
Thus, the simplification form of the number expression (2⁴)⁻¹ is 1/2⁴ option (B) one over two raised to the fourth power is correct.
Learn more about the integer exponent here:
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Answer:
Option b, c and e are wonderful approaches to solve the problem.
Step-by-step explanation:
Option (b) is appropriate this is because the option is talking about Simple random sampling where random universities are chosen to remove bias.
Option (c) is correct because this is an example of Stratified sampling where two homogenous groups (private and public universities are considered) and samples are chosen at random to remove bias
Option (e) is correct because this again is an example of Simple random sampling where 60 random STEM majors are chosen at random.
Answer:
Step-by-step explanation:
We are given the following in the question:
Significance level = 0.01
Width of interval = 0.1
Population variance = 
We have to find the sample size so that the width of the confidence interval is no larger than 0.1
Formula for sample size:
where E is the margin of error. Since the confidence interval width is 0.1,
Putting these values in the equation:
So, the above expression helps us to calculate the sample size so that the width of the confidence interval is no larger than 0.1 for different sample variances.
