Answer:
FV=PV(1−d)^n
FV = 290(1-.132)^14
FV = 290(.868)^14
FV = 39.96 g
Step-by-step explanation:
For the given probability mass function of X, the mean is 3.5 and the standard deviation is 1.708.
- A discrete random variable X's probability mass function (PMF) is a function over its sample space that estimates the likelihood that X will have a given value. f(x)=P[X=x].
- The total of all potential values for a random variable X, weighted by their relative probabilities, is known as the mean (or expected value E[X]) of that variable.
- Mean(μ) = 1(1/6) + 2(1/6) + 3(1/6) + 4(1/6) + 5(1/6) + 6(1/6).
- Mean(μ) = (1+2+3+4+5+6)/6
- Mean(μ) = 21/6
- Mean(μ) = 3.5
- The square root of the variance of a random variable, sample, statistical population, data collection, or probability distribution represents its standard deviation. It is denoted by 'σ'.
- A random variable's variance (or Var[X]) is a measurement of the range of potential values. It is, by definition, the squared expectation of the distance between X and μ. It is denoted by 'σ²'.
- σ² = E[X²]−μ²
- σ² = [1²(1/6) + 2²(1/6) + 3²(1/6) + 4²(1/6) + 5²(1/6) + 6²(1/6)] - (3.5)²
- σ² = [(1² + 2²+ 3² + 4²+ 5²+ 6²)/6] - (3.5)²
- σ² = [(1 + 4 + 9 + 16 + 25 + 36)/6] - (3.5)²
- σ² = (91/6) - (3.5)²
- σ² = 15.167-12.25
- σ² = 2.917
- σ = √2.917
- Standard deviation (σ) = 1.708
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Answer:
11.67
Step-by-step explanation:
Given: Employee earn $175 for 15 hours
We know, the constant of variation means the rate of change.
To know The constant of variation, we need to find how much employee earn each hour.
∴ Constant of variation= 
Constant of variation= 
∴ Constant of variation= 11.67. (rounding off)
Answer:
3:5
Step-by-step explanation:
ratio is 4:6 so ratio equals 2:3
red marbles is 3/5
Answer:
9 yd
Step-by-step explanation:
A cube consists of 6 square faces.
Divide the surface area by 6 for the area of one face
486 ÷ 6 = 81 yd²
The area of a square is
A = s² ( s is the side length )
Here A = 81, then
s² = 81 ( take the square root of both sides )
s = 
= 9
Thus side length is 9 yd
