(84x - 69y) - (65x + 34y)
Remove the parenthesis and combine the like terms:
84x - 65x = 19x
-69y - 34y = -103y
Combine for final answer:
19x -103y
Since in this case we are
only using the variance of the sample and not the variance of the real population,
therefore we use the t statistic. The formula for the confidence interval is:
<span>CI = X ± t * s / sqrt(n) ---> 1</span>
Where,
X = the sample mean = 84
t = the t score which is
obtained in the standard distribution tables at 95% confidence level
s = sample variance = 12.25
n = number of samples = 49
From the table at 95%
confidence interval and degrees of freedom of 48 (DOF = n -1), the value of t
is around:
t = 1.68
Therefore substituting the
given values to equation 1:
CI = 84 ± 1.68 * 12.25 /
sqrt(49)
CI = 84 ± 2.94
CI = 81.06, 86.94
<span>Therefore at 95% confidence
level, the scores is from 81 to 87.</span>
Corresponding angles:
8< and <16
hope it helps
Answer:
The total number of possibilities are 60.
Step-by-step explanation:
Given:
There are 6 digits and 3,7,9 are odd ones.
To Find:
How many possibilities are there for the rock's age
Solution:
Here condition is that number should start with odd digit
so there 3 number only as odd(3,7,9)
So it leaves 3 repeating numbers i.e.2
So permutation of 5 numbers with 3 odd numbers
So possible arrangement will be
nPr
n=5 ,r=3
So 5P3=5!/3!
And finally for all possibilities as
=3*(5!/3!)
=3*(20)
=60
Answer:
See the explanation below
Step-by-step explanation:
Number of months =4
Number of copies =450000
Number of pages =60
Number of copies in 4 months =450000*4
=1800000
Number of pages is
=1800000 *60
=108,000,000
