The missing digits is highlighted in bold form
A study done by researchers at a university concluded that 70% of all student-athletes in this country have been subjected to some form of hazing. The study is based on responses from 1800 athletes. What are the margin of error and 95% confidence interval for the study?
Answer:
Step-by-step explanation:
Given that:
The sample proportion
The sample size n = 1800
At 95% confidence interval level:
The level of significance = 1 - 0.95 = 0.05
Critical value:
Thus, the Margin of Error E =
the Margin of Error E = 0.021
At 95% C.I for the population proportion will be:
= 0.70 ± 0.021
= (0.70 - 0.021, 0.70 + 0.021)
= 0.679, 0.721)
It will cost $375 to hire the doctor for 45 minutes
The doctor charges $500 for an hour
60 minutes makes 1 hour
60 minutes= $500
Therefore the amount that will be charged for 45 minutes can be calculated as follows
60 minutes= $500
45 minutes= x
Cross multiply both sides
60x= 500×45
60x= 22500
x= 22500/60
x= 375
Hence it will cost $375 to hire the doctor for 45 minutes
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Solving the expression: we get 531441.
Step-by-step explanation:
We need to solve the expression:
Solving:
Applying exponent rule:
Applying another exponent rule:
So, solving the expression: we get 531441.
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We will have the following:
From the graph we can see that they are in "balance" and thus each side of the balance for each pair will be equal to 1/2, thus:
Triangle = 1/2:
2Square = 1/2 => Square = 1/4.
Same for the other side:
3Flowers = 1/2 => Flower = 1/6
4Pentagons = 1/2 => Pentagon = 1/8.
That is: