Answer:
d. The variance is 9.56 and the standard deviation is 3.09.
Step-by-step explanation:
From the above question, we are given the following data set.
3, 7, 8, 8, 8, 9, 10, 10, 13, 14
a) Mean = 3 + 7 + 8 + 8 + 8 + 9 + 10 + 10 + 13 + 14/ 10
= 90/10
= 9
b) Variance
The formula for sample Variance = (Mean - x)²/ n - 1
Mean = 9
n = 10
Sample Variance =
(3 - 9)² + (7 - 9)² + (8 - 9)² + (8 - 9)² + (8 - 9)² + (9 - 9)² + (10 - 9)² + (10 - 9)² + (13 - 9)² + (14 - 9)² / 10 - 1
= 36 + 4 + 1 + 1 + 1 + 0 + 1 + 1 + 16 + 25/9
= 86/9
= 9.555555556
≈ Approximately 9.56
Variance = 9.56
Sample Standard deviation = √Sample Variance
= √9.56
= 3.0919249667
≈ Approximately 3.09
Answer:
log₂(3) = 1.585 ≠ 1.5
Her thinking is not valid because the technique of average is valid only if the graph of the function is a straight line, but the graph of the log function is not a straight line.
Therefore the values cannot be taken by average
Step-by-step explanation:
Given:
log₂(2) = 1
log₂(4) = 2
To evaluate : log₂(3)
Now,
we know that
logₓ(y) = (Here the log has same base in the numerator and the denominator i.e 10)
therefore,
log₂(3) =
also,
log(2) = 0.3010
log(3) = 0.4771
thus,
log₂(3) =
or
log₂(3) = 1.585 ≠ 1.5
Her thinking is not valid because the technique of average is valid only if the graph of the function is a straight line, but the graph of the log function is not a straight line.
Therefore the values cannot be taken by average
That how I got the answer
Answer:
17. Vertex R
18. line FG
19. line RS
20. no they aren't collinear but they are coplanar
21. yes they are collinear but they aren't coplanar
22. plane HEF, plane RPE and plane EPQ
Answer:
X=19/32
Step-by-step explanation:
3/4^2+1^2=2*x
3/4^2+1=2x
3+(4^2)/4^2=2x
3+16/4^2=2x
19/4^2=2x
19/(2^2)^2=2x
19=16(2x)
19=16*2x
32x=19
32x/32=19/32
x=19/32
This took alot of time goodluck!