Answer:
Option A - 4.91
Step-by-step explanation:
The formula for theoretical standard deviation of uniform distribution is;
σ = √{(b-a)^2}/12
Now from the question, b = 38 minutes and a= 21 minutes
Therefore, σ = √{(38-21)^2}/12
= √{17^2}/12 = √289/12 = 4.907 which is approximately 4.91
A sample of size n taken from a population with mean = µ and standard deviation = σ has sample mean = µ and sample s.d. = σ/√n.
If the final exam scores are normally distributed, and X is a random variable for the mean of a sample, then
Pr[X < 70] = Pr[(X - 73) / (7.8/√24) < (70 - 73) / (7.8/√24)]
… ≈ Pr[Z < -1.8842]
… ≈ 0.0298
(where Z is normally distributed with µ = 0 and σ = 1).
Answer
14.4 ft~
Step-by-step explanation
A kite is flying 12 feet off the ground, therefore the height is 12 (assuming the line is tied to the ground if a person is holding the line then the height would be less)
Assuming the sun is positioned in such a way that the shadow represents a horizontal distance. Horizontal distance of shadow = 8
Use Pythagoras Theorem
Where a^2 + b^2 = c^2
8^2 + 12^2 = 208
Square root 208 = 14.4~
~ Hoodini, here to help :)
Answer:3 and 4
Step-by-step explanation:
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Slope Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Find points from table</em>
Point (0, 3)
Point (1, 7)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>. Rate of change and slope are the same.
- Substitute [SF]:
- Subtract:
- Divide:
