Answer:
M is congruent to P, N is congruent to Q, and O is congruent to R.
Step-by-step explanation:
Congruent angles are angles with exactly the same measure.
I'll do the first two problems to get you started
Problem 1
1/2 = 3/6
1/3 = 2/6
For the first fraction, I multiplied top and bottom by 3. Note how 3 is the denominator of the second fraction.
For the second fraction, I multiplied top and bottom by 2. Note how 2 is the denominator of the first fraction.
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Problem 2
1/2 = 5/10
3/5 = 6/10
Like with problem 1, I multiplied top and bottom of the first fraction by the value 5 which is the denominator of the second fraction. Likewise, I did the same for the second fraction using the first denominator. The steps are essentially the same, but the numbers are different.
Problem 3 will be handled the same way. I'll let you try it out.
Answer:
The 99% confidence interval for the proportion of all students at this school who have their names written on their graphing calculators is (0.4652, 0.8148).
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 
.
A random sample of 50 students is selected, and of the students questioned, 32 had their names written on their graphing calculators.
This means that 
99% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
The 99% confidence interval for the proportion of all students at this school who have their names written on their graphing calculators is (0.4652, 0.8148).
