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:
x=2
Step-by-step explanation:
we know that
according to the graph
when g(x)=4
the value of x=2
see the attached figure to better understand the problem
Answer:
The equations represent the situation is
and
.
Step-by-step explanation:
Consider the provided information.
First convert the statement into mathematical representation.
Consider the smaller number is <em>x</em> and the larger number is <em>y</em>.
<em>y</em>, is equal to twice the sum of a smaller number and 3.
This information can be written as: 
Which can be further solve as:

The larger number is also equal to 5 more than 3 times the smaller number.
This information can be written as: 
Thus, the equations represent the situation is
and
.
Which can be further solve as:


Now, substitute the value of <em>x</em> in
.


Answer:D hope it helped
Step-by-step explanation:
Answer:
C...........................