Answer:
54
Step-by-step explanation:
4^3-4/2*5
4^3=64
64-4/2*5
-4/2=-2
64-2*5
-2*5=-10
64-10=54
Parenthesis
Exponent
Multiply or Divide (whichever comes first)
Add or Subtract (whichever comes first)
Hope this helps
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 = 5.5 (rounded)
Step-by-step explanation:
Equation: 700 = 132.69x - 25.96
Add 25.96 to both sides: 700+25.96 = 132.69x -25.96 + 25.96
Simplify: 725.96 = 132.69x
Isolate x
Divided both sides by 132.69: 
Simplify: x = 5.5 (rounded)
70dB is represented by 100cars in 60sec. Therefore if the number of cats is reduced by 3/4 in the same amount of time(60s), then the decibel level will reduce by 3/4 also. So 70dB * .25= 17.5dB
Answer:
The student is wrong because the sum of any two sides of a triangle should be greter than the third side. The length of a single side of a triangle can not be half or more than half of the perimeter of that triangle. And since the given length is more than half of the perimeter , the student is incorrect .