Answer:
Customary:
Foot, inch, mile, yard.
Metric:
Centimeter, kilometer, meter.
Both:
Area, height, formula, perimeter.
Answer:
- Elanor's standardized score is 1.19
- Gerald's standardized score is 0.72
- Elanor has higher score
Step-by-step explanation:
To compare Elanor's and Gerald's math scores, we need to standardize them and calculate their z-scores.
z score can be calculated using the formula
z=
where
- M is the mean score of the exam
- s is the standard deviation of the exam
Elanor's standardized score is:
z(e) =
≈ 1.19
Gerald's standardized score is:
z(g)=
≈ 0.72
Since z(e) > z(g), Elanor has higher score
Answer:
And rounded up we have that n=421
Step-by-step explanation:
We know that the sample proportion have the following distribution:

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by
and
. And the critical value would be given by:
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
We assume that a prior estimation for p would be
since we don't have any other info provided. And replacing into equation (b) the values from part a we got:
And rounded up we have that n=421
4 nickels and 5 pennies.
5 nickels and 0 pennies