Answer:
D
Step-by-step explanation:
4x - 2(x + 3) = 8
Use distributive property
4x -2x - 6 = 8
2x - 6 = 8
2x = 8 + 6
2x = 14
x = 14 ÷ 2
x = 7
5/6k = 1/6
k = 1/6 / 5/6 = 1/6 * 5/6 after you multiply your solution for K = 1/5
Answer:
Step-by-step explanation:
Rationalize the denominator first (keep in mind we are NOT solving this because there is no equals sign here. We are merely simplifying.)
Now simplify by taking the square root of 100 to get:
Divide numerator and denomiator by 10 to get:
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:
About 1 gallon. (32/30)
Step-by-step explanation:
First get a LCM (least common multiple) for 3, 5, and 2.
Now we have 30. Make 30 the denominator for all.
10/30
15/30
7/30
Then add them all up to get 32/30.
About 1 gallon.
