Answer:
option B
Step-by-step explanation:
The symmetric distribution have close or approximate values of median and mean. In the given scenario mean is 48.5 and median is 33. We can see that the both values significantly differs. Also, given mean is greater than median(48.5>33) . Thus, the distribution is positively skewed and not symmetrical.
Hence, the distribution is skewed because mean and median significantly differ from each other.
Answer:
3,340$
Step-by-step explanation:
e(8000)=.0675(8000)+2800
e(8000)=540+2800
e(8000)=3340
An=a1(r)^(n-1)
a1=first erm
r=common ratio
firs term is -5
we times each term by 5 to get next term so r=5

is the explicit formula
Answer:
Options (3) and (6)
Step-by-step explanation:
ΔABC is a dilated using a scale factor of
to produce image triangle ΔA'B'C'.
Since, dilation is a rigid transformation,
Angles of both the triangles will be unchanged or congruent.
m∠A = m∠A' and m∠B = m∠B'
Since, sides of ΔA'B'C' =
of the sides of ΔABC
Area of ΔA'B'C' = 
Area of ΔABC > Area of ΔA'B'C'
Since, angles of ΔABC and ΔA'B'C' are congruent, both the triangles will be similar.
ΔABC ~ ΔA'B'C'
Therefore, Option (3) and Option (6) are the correct options.
Answer:
<em>Mean of the sample = 27.83</em>
<em> The variance of the the sample = 106.96</em>
<em> </em><em>Standard deviation of the sample = 10.34</em>
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given random sample of six employees
x 26 32 29 16 45 19
mean of the sample

Mean of the given data = 27.83
<u>Step(ii):-</u>
<u>Given data</u>
x : 26 32 29 16 45 19
x - x⁻ : -1.83 4.17 1.17 -11.83 17.17 -8.83
(x - x⁻)² : 3.3489 17.3889 1.3689 139.9489 294.80 77.9689
∑ (x-x⁻)² = 534.8245
Given sample size 'n' =6
The variance of given data
S² = ∑(x-x⁻)² / n-1

The variance of the given sample = 106.9649
<u> Step(iii):-</u>
Standard deviation of the given data

Standard deviation of the sample = 10.3423