Answer:
A) μ = 91.2; σ = 9.3
B) No
Step-by-step explanation:
To find the mean, μ, we use the formula
μ = np, where n is the sample size and p is the probability of success (percentage of times the letter is used).
This gives us
μ = 0.057(1600) = 91.2
To find the standard deviation, we use the formula
σ = √(np(1-p)
This gives us
σ = √(1600×0.057×(1-0.057))
= √(1600×0.057×0.943) = √86.0016 = 9.2737 ≈ 9.3≈
Any value that is more than two standard deviations from the mean is considered unusual. The value 102 is
(102-91.2)/9.3 = 10.8/9.3 = 1.16 standard deviations from the mean. This is not statistically unusual.
55.46 so estimating it would just leave it at 55
Answer:
1000 cm²
Step-by-step explanation:
Given:
- Length = 10 cm
- Width = 12.5 cm
- Height = 8 cm
<u>Formula:</u>
Substitute the length, width, and the height of the prism to determine the volume of the prism.
Simplify the right hand side of the equation, as needed;
Therefore, the volume of the prism is 1000 cm².
Answer: A: -2x^3 - 6x^2 + 9x
Step-by-step explanation:
f(x) - g(x) is a simple subtraction problem, just like 2 - 1, or 8 - 5. So, treat the functions like normal questions.
> f(x) = 3x^3 - 4x^2 + 6x
> g(x) = 5x^3 + 2x^2 - 3x
> f(x) - g(x)
Substitute these values for f(x) and g(x).
> f(x) - g(x)
> (3x^3 - 4x^2 + 6x) - (5x^3 + 2x^2 - 3x)
Now, we combine like terms*:
> For x^3: (3x^3 - 5x^3) = -2x^3
> For x^2: (-4x^2 - 2x^2) = -6x^2
> For x: (6x + 3x) = 9x
*NOTE: Remember that when there is a subtraction sign in front of a group of numbers, all the numbers inside of the parenthesis are multiplied by -1, and get their signs switched.
Putting all of these values together, we get (-2x^3 - 6x^2 + 9x).
If you subtract 58 by 14 you will get 44 so thats the answer
