Answer:
C) 28.5 home runs
General Formulas and Concepts:
<u>Pre-Algebra
</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
Step-by-step explanation:
<u>Step 1: Define
</u>
y = home runs
x = hits
[Best Line of Fit] y = 0.15x - 1.5
<em>We can use this to predict the average of the scatter plot.
</em>
hits = x = 200 times
<u>Step 2: Solve for </u><em><u>y</u></em><u> home runs</u>
- Substitute [BLF]: y = 0.15(200) - 1.5
- Multiply: y = 30 - 1.5
- Subtract: y = 28.5
Remember that this is only a <em>prediction.</em> Actual data can vary. The best line of fit tells us that if a player hits 200 times, we would get approximately 28.5 home runs.
To graph an inequality, consider the < or > sign to be a = sign and graph the equation. If the inequality is < or >, draw a dotted line to represent the equation.
Graph the equation as a solid line if the inequality is ≤ or ≥, This line divides the xy-plane into two regions: one that meets the inequality and one that does not.
When inequalities are graphed on a coordinate plane, the solutions are found in a region of the plane that is shaded. If the points on the line satisfy the inequality, as in the case of and, the boundary line for the inequality is drawn as a solid line.
Linear inequalities are not the same as linear equations, but what you know about equations can help you understand inequalities. Equations and inequalities are both mathematical statements that compare two values.
For more information on inequality, visit :
brainly.com/question/28823603
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Answer:
Option C. f(n) = 16(3/2)⁽ⁿ¯¹⁾
Step-by-step explanation:
To know which option is correct, do the following:
For Option A
f(n) = 3/2(n – 1) + 16
n = 1
f(n) = 3/2(1 – 1) + 16
f(n) = 3/2(0) + 16
f(n) = 16
n = 2
f(n) = 3/2(n – 1) + 16
f(n) = 3/2(2 – 1) + 16
f(n) = 3/2(1) + 16
f(n) = 3/2 + 16
f(n) = 1.5 + 16
f(n) = 17.5
For Option B
f(n) = 3/2(16)⁽ⁿ¯¹⁾
n = 1
f(n) = 3/2(16)⁽¹¯¹⁾
f(n) = 3/2(16)⁰
f(n) = 3/2 × 1
f(n) = 1
For Option C
f(n) = 16(3/2)⁽ⁿ¯¹⁾
n = 1
f(n) = 16(3/2)⁽¹¯¹⁾
f(n) = 16(3/2)⁰
f(n) = 16 × 1
f(n) = 16
n = 2
f(n) = 16(3/2)⁽ⁿ¯¹⁾
f(n) = 16(3/2)⁽²¯¹⁾
f(n) = 16(3/2)¹
f(n) = 16(3/2)
f(n) = 8 × 3
f(n) = 24
n = 3
f(n) = 16(3/2)⁽ⁿ¯¹⁾
f(n) = 16(3/2)⁽³¯¹⁾
f(n) = 16(3/2)²
f(n) = 16(9/4)
f(n) = 4 × 9
f(n) = 36
For Option D
f(n) = 8n + 8
n = 1
f(n) = 8(1) + 8
f(n) = 8 + 8
f(n) = 16
n = 2
f(n) = 8n + 8
f(n) = 8(2) + 8
f(n) = 16 + 8
f(n) = 24
n = 3
f(n) = 8n + 8
f(n) = 8(3) + 8
f(n) = 24 + 8
f(n) = 32
From the above illustration, only option C describes the sequence.
Answer:
The nonpermissible replacement of the variable n is -4
Step-by-step explanation:
The nonpermissible replacement of the variable in a certain expression is the value of the variable that will make the denominator of the expression zero.
The expression 
has the denominator 
This denominator cannot be equal zero, thus,
.
Answer:
A. False
C. False
B. False
D. True
Step-by-step explanation:
Frequency histogram is denote the actual frequency of each observation or different class- intervals whereas Relative frequency distribution shows the fraction of that frequency to the total frequencies or the percent of that frequency to the total.
Thus the shape of both histogram are same.
A. False.
C. False
Since, Scale of the y-axis is different. But they has same shape.
B. False
Since, vertical scale is different for both histogram and horizontal scale is same.
D. True
