Answer:
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Step-by-step explanation:
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Cost of Apples:
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Cost of oranges:
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Total cost:
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Answer: The number is 0.75 or 3/4
Step-by-step explanation:
let x = the number.
Now set up an equation: The product of a number (x) and -4 = -4x. So -4x is subtracted from the number - x. x-(-4x)
Then, that equals 3 more than the number (x) = x+3
So the equation is x-(-4x)=x+3.
Then, solve the equation!
x-(-4x)=x+3
x+4x=x+3 (Distribute the negative to the parentheses)
5x=x+3 (Combine like terms)
4x=3 (Get the Xs on one side by subtracting x from both sides)
x=0.75 or 3/4 (divide by the coefficiant, 4, on both sides)
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
To learn more about variance, visit :
brainly.com/question/14116780
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Find an easy to read point such as (10, 40).
The ratio of y to x is 40/10 = 4/1.
Now look in your choices and find a point in which y is 4 times x.
The only such point is (5, 20).
Answer: C. (5, 20)