Answer:
a) n = 1037.
b) n = 1026.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
The margin of error is:
99% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
(a) Assume that nothing is known about the percentage to be estimated.
We need to find n when M = 0.04.
We dont know the percentage to be estimated, so we use 
, which is when we are going to need the largest sample size.
Rounding up
n = 1037.
(b) Assume prior studies have shown that about 55% of full-time students earn bachelor's degrees in four years or less.
So
Rounding up
n = 1026.
The answer is x=7. Since the two angles are corresponding. Then it would be 10x-2=9x+5. The answer would be x=7. Please mark me Brainleist
For a you need to do (10 times 13) plus (10 times 7) because there's two boxes one is shaded.
For b you need to do (7.5 times 20) plus (2.5 times 20)
1 year has around 52.1429 weeks
We are given that one American consumes around 20 gallons of ice cream in a year. This means that the consumption is 20 gallons in 52.1429 weeks.
Now, first we will calculate the amount consumed by 1 American in one week using cross multiplication as follows:
consumption per week = (1*20) / (52.1429) = 0.38356 gallons
Now, to know the consumption of 50 Americans in one week, we will simply multiply the consumption of one American by 50 as follows:
consumption of 50 Americans = 0.38356 * 50 = 19.18 gallons/week
Answer:
The options are absent, but the dependent variable in this experimental setup is the test scores from both groups of the experiment.
Step-by-step explanation:
The dependent variable, just like the name suggests, is the variable whose value or outcome depends on the some other variable(s) in an experimental setup.
For this research study, the aim is to evaluate the effect of a silent studying environment or listening to classical music while studying on the academic performance of students as reflected in their test scores.
So, for each of the two groups in this experimental setup, the test scores of the students should depend directly on the the effects of either of the two conditions mentioned earlier. Hence, it is evident that the test scores of students is the undisputed dependent variable for this experimental setup.
Hope this Helps!!!
