Answer:

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
- Subtraction Property of Equality
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] cosθ = adjacent over hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
Angle θ = 28°
Adjacent Leg = EF = <em>x</em>
Hypotenuse = DF = 18
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [Cosine]:

- [Multiplication Property of Equality] Multiply 18 on both sides:

- Evaluate trig:

- Multiply:

- Rewrite:

- Round:

Answer:
B. The difference of the medians is about one-fourth the interquartile range of either data set
Step-by-step explanation:
Given the heights of preschool boys in cms
105.1 104.8 101.3 87 86.7 95 93.8 92.1 92.4 100
Arrange them in ascending order
86.7 87 92.1 92.4 93.8 95 100 101.3 104.8 105.1
Median = 93.8: Q1 = 87:Q3=101.3
IQR = Q3-Q1 = 4.3
Given the heights of preschool girls in cms
85.2 90.3 99.6 98.6 97.5 101.7 102.9 89.4 107 92
Arrange them in ascending order
85.2 89.4 90.3 92 97.5 98.6 99.6 101.7 102.9 107
Median = 97.5: Q1 = 89.4:Q3=101.7
IQR = 4.2
Differnce in the medians = 3.7
Diff in IQR = 0.1
B. The difference of the medians is about one-fourth the interquartile range of either data set because
0.4 = 4(0.1)
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Answer:
B. 0 solutions.
Step-by-step explanation:
Given the equation 7(x + 2) = 7x - 10
Simplify:
7(x + 2) = 7x - 10
Distribute the 7 with the terms inside of the parenthesis:
7x + 14 = 7x - 10
Subtract "7x" and 14 from both sides:
7x - 7x = -10 - 14
0 ≠ - 24. The equation has no solutions.
Answer:
What’s the answer
Step-by-step explanation:
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