Use Pythagorean theorem:
9i-j = sqrt (9^2 - 1^2) = sqrt(81-1) = sqrt80
now divide both terms in V by that:
u = 9/sqrt(80)i - 1/sqrt(80)j
see attached picture:
Answer:
Binomial theorem, statement that for any positive integer n, the nth power of the sum of two numbers a and b may be expressed as the sum of n + 1 terms of the form.
Answer: ( 77.27 , 83.93)
Therefore at 95% confidence/prediction interval is
= ( 77.27 , 83.93)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = 80.6 words per minute
Standard deviation r = 7.2
Number of samples n = 18
Confidence interval = 95%
z(at 95% confidence) = 1.96
Substituting the values we have;
80.6+/-1.96(7.2/√18)
80.6+/-1.96(1.697056274847)
80.6 +/- 3.33
= ( 77.27 , 83.93)
Therefore at 95% confidence/prediction interval is
= ( 77.27 , 83.93)
Before we start to answer, let's get our formulas put in.
4 qt = 1 gal.
1 c = 0.5pt (or 2 cups to 1 pt)
Now that we've gotten the formulas out of the way, let's plug in our numbers.
We have 5 qt.
Since we have 4 qt per gal, let's subtract 4 from 5.
5 - 4 = 1. We have 1 gal (due to having a whole 4) and 1 qt left over.
5 qt = 1 gal 1 qt.
We have 7 c.
Since we have 2 cups per pint, let's divide 7 by 2.
7 / 2 = 3.5
We have 3.5 Pt.
7c = 3.5pt
Your answers are:
1 gal 1 qt
3.5pt
I hope this helps!
