Answer:
Range = 13
Mean = 8.3
Variance = 17.61
Step-by-step explanation:
Given the population dataset :
2, 9, 15, 4, 12, 9, 13, 6, 3, 10
1.) Range : (maximum - minimum)
Maximum = 15 ; minimum = 2
Range = (15 - 2) = 13
2.) population mean (μ) :
μ = ΣX / n
n = sample size
μ = (2 + 9 + 15 + 4 + 12 + 9 + 13 + 6 + 3 + 10) / 10
μ = 83 / 10
μ = 8.3
3.) Population variance (s²)
Σ(x - μ)² / n
=[(2 - 8.3)^2 + (9 - 8.3)^2 + (15 - 8.3)^2 + (4 - 8.3)^2 + (12 - 8.3)^2 + (9 - 8.3)^2 + (13 - 8.3)^2 + (6 - 8.3)^2 + (3 - 8.3)^2 + (10 - 8.3)^2] / 10
s² = 176.1 / 10
s² = 17.61
Answer:
The area of the house is A. 1,108
Answer:
f(x) = 3^x increases steadily on the interval [4,5].
Step-by-step explanation:
This exponential function f(x) = 3^x has a positive base (3) which is larger than 1. Thus, this function continues to increase as x increases, including the case where x increases from 4 to 5.
<em>Answer:</em>
<em> 200.52 m²</em>
<em>Step-by-step explanation:</em>
<em>A = 12² + π·6²/2</em>
<em>= 144 + 36π/2</em>
<em>= 144 + 18×3.14</em>
<em>= 144 + 56.52</em>
<em>= 200.52 m²</em>
<em />
The difference between the ratio 5:3 is 2 ( 5-3 = 2)
Nick gets 2 extra shares which is equal to £26
1 share = 26 / 2 = 13
June gets 3 shares: 3 x 13 = £39
