Hello from MrBillDoesMath!
Answer:
669/221
Discussion:
Ratio of 669 to 221 = 669/221.
Now, 669 = 3 * 223 and 221 = 13 * 17. Note that all numbers involved in the factorizations are distinct primes so nothing cancels out in their ratio. That is,
669/221 can not be reduced further.
Thank you,
MrB
Answer:
C. 50
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:

The higher the margin of error, the wider an interval is.
As the sample size increases, the margin of error decreases. If we want a widest possible interval, we should select the smallest possible confidence interval.
So the correct answer is:
C. 50
Answer: Alternative Hypothesis
Ha : u ≠ 80 inches ( mean not equal to 80 inches)
Step-by-step explanation:
The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean.
While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.
For the case above, the mean door height is 80 inches
H0 : u = 80 inches
Ha : u ≠ 80 inches ( mean not equal to 80 inches)
To determine the cost of each meter of the ribbon, we divide the cost for 5 meters of ribbon by 5. That is,
x = $4 / 5
where x is the cost of each meter. Simplifying will give us an answer of $0.8/m. Converting this to per mm.
($0.8/m) x (1 m/ 1000 mm)
= $0.0008/mm
Answer:
45
Step-by-step explanation:
2 digit number starts from 10 ends at 99
between 10 and 19 there is only one number whose tens digit is more than ones digit.
that is 10
between 20 and 29 there are two numbers
20 and 21
like the same
between 30 and 39 there are 3 numbers
10–19. 1
20–29. 2
30–39. 3
40–49. 4
50–59. 5
60–69. 6
70–79. 7
80–89. 8
99–99. 9
sum of first n natural numbers is n(n+1)/2
9(9+1)/2=45