Answer:
60
Step-by-step explanation:
let a = 22 / kg, and b = 12 / kg
a + b = 20 kg
22a + 12b = 15 * 20
12a + 12b = 240
10a = 60
Μ = (0×0.026) + (1×0.072) +(2×0.152) + (3×0.303) + (4×0.215) + (5×0.164) + (6×0.066)
μ = 0 + 0.072 + 0.304 + 0.909 + 0.86 + 0.82 + 0.396
μ = 3.361 ≈ 3.4
We need the value of ∑X² to work out the variance
∑X² = (0²×0.026) + (1²×0.072) + (2²×0.152) + (3²×0.303) + (4²×0.215) + (5²×0.164) + (6²×0.066)
∑X² = 0+0.072+0.608+2.727+3.44+4.1+2.376
∑X² = 13.323
Variance = ∑X² - μ²
Variance = 13.323 - (3.4)² = 1.763 ≈ 2
Standard Deviation = √Variance = √1.8 = 1.3416... ≈ 1.4
The correct answer related to the value of mean and standard deviation is the option D
<span>
An employee works an average of 3.4 overtime hours per week with a standard deviation of approximately 1.4 hours.</span>
Answer:
x = 1; y = 6
x = 5; y = 26
x = 8; y = 41
x = 10; y = 51
Step-by-step explanation:
Just substitute the x values
Answer:
15.98
Step-by-step explanation:
∑₁¹⁰ 
![=8[1+\frac{1}{4} +\frac{1}{16} + ........ +t_{10}]](https://tex.z-dn.net/?f=%3D8%5B1%2B%5Cfrac%7B1%7D%7B4%7D%20%2B%5Cfrac%7B1%7D%7B16%7D%20%2B%20........%20%2Bt_%7B10%7D%5D)
We have to use the formula of sum of a G.P. series with common ratio r < 1.
If the first term is a, the common ratio is r and the number of terms is n then the sum [a + ar + ar² + ar³ + ......... up to n terms] is given by
![[a \times\frac{1-r^{n} }{1-r}]](https://tex.z-dn.net/?f=%5Ba%20%5Ctimes%5Cfrac%7B1-r%5E%7Bn%7D%20%7D%7B1-r%7D%5D)
![= 8[1 \times \frac{1-\frac{1}{2^{10} } }{1-\frac{1}{2} } ]](https://tex.z-dn.net/?f=%3D%208%5B1%20%5Ctimes%20%5Cfrac%7B1-%5Cfrac%7B1%7D%7B2%5E%7B10%7D%20%7D%20%7D%7B1-%5Cfrac%7B1%7D%7B2%7D%20%7D%20%5D)
(Answer)
