Answer:
The sample size should be approximately 151.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 100
Population standard deviation, σ = 15
We have to evaluate the sample size, n.
Alpha, α = 0.10
Confidence interval:
Putting the values, we get,
Thus, the sample size should be approximately 151.
Answer:
<h2>-4</h2>
Step-by-step explanation:
Given the line containing the points.
x | -7. -6. -5. -4
y | 21. 17. 13. 9
The slope of the line is expressed as m = Δy/Δx = y₂-y₁/x₂-x₁
Using the coordinates y (21, 17) and corresponding value of x(-7, -6)
y₁ = 21, y₂ = 17 x₁ = -7, x₂ = -6
Substituting the values into the formula for calculating the slope, we have;
m = Δy/Δx = 17-21/-6-(-7)
m = -4/-6+7
m = -4/1
m = -4
<em>Hence the slope of the line that contains these points is -4</em>
Answer:
1. $25
2. 12
3. -12
4. -12
5. -25
Step-by-step explanation:
Answer:
V = 108 ft³
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
Volume of a Rectangular Prism Formula: V = lwh
- <em>l</em> is length
- <em>w</em> is width
- <em>h</em> is height
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
<em>l</em> = 4 ft
<em>w</em> = 3 ft
<em>h</em> = 9 ft
<u>Step 2: Find Volume</u>
- Substitute in variables [Volume of a Rectangular Prism Formula]: V = (4 ft)(3 ft)(9 ft)
- Evaluate [Order of Operations]: V = 108 ft³
Length times width so that would be 21
