Answers:
- Rational
- Rational
- Rational
- Irrational
- Rational
- Irrational
In short, 4 and 6 are irrational. Everything else is rational.
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Explanation:
A rational number is one in the form p/q where p,q are integers and q is nonzero. In the case of something like 3/5, we have p = 3 and q = 5.
Any terminating decimal can be converted to a rational number. Eg: 0.125 = 125/1000.
Any whole number is a rational number. Eg: 5 = 5/1.
Adding any two rational numbers leads to some other rational number.
Based on what is mentioned above so far, this means choices 1 through 3 are rational sums.
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Choice 4 is not rational because sqrt(2) is irrational. The rule is
irrational+rational = irrational
Choice 5 is a rational sum because sqrt(4) = 2 = 2/1
Choice 6 is irrational for similar reasons as choice 4. Here pi = 3.14... is irrational.
Answer:
The golf ball is 2 times a likely to be orange as it is to be pink
Step-by-step explanation:
A. green = 18, pink+white+orange = 23
18 not > 23
B. pink 
white orange green
C. pink x 2 = orange?
4 x 2 = 8
D. white x 7 = green?
white = 11
green = 18
11 x 7 = 77 18
Answer:
The 85% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.259, 0.301).
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 
.
For this problem, we have that:
972 students, 700 read above the eight grade level. We want the confidence interver for the proportion of those who read at or below the 8th grade level. 972 - 700 = 272, so 
85% 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 85% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.259, 0.301).
Answer:
Mike had 14 slice of bread in his loaf while
Joey had 8 slice of bread in his loaf.
Step-by-step explanation:
We should note that a sandwich is made up of two slice of bread.
that is :
A Sandwich = 2 Slice of bread
and for bologna to be in a sandwich, you will have 2 slice of bread together.
So, For Mike,
2 slice of bread × 5 Sandwich = 10 Slice of bread
Remaining Slice of bread = 4 Slice
Total Slice of bread in Mike loaf = 10 + 4
= 14 slice of bread was in Mike loaf of bread.
For Joey
A sandwich = 2 Slice of bread
2 slice of bread × 4 Sandwich = 8 Slice of bread
Remaining slice of bread = 0
Total slice of bread in joey loaf = 8 slice of bread.
