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asambeis [7]
3 years ago
14

25 POINTS!!!!!!!!! ALGEBRA 2 STATISTICS QUESTION!!!!!!!!!!!!!!

Mathematics
1 answer:
Serga [27]3 years ago
6 0
A median is 65 inches and a standard deviation is 1.7:
a.   65 + 1 SD = 65 + 1.7 = 66.7 in
It means that there are : 100% - ( 50% + 34% ) = 100% - 84% = 16% students taller than 66.7 inches.
b.  Heights between 61.6 in and 68.7 in are within 2 standard deviations:
13.5% + 34% + 13.5% + 34% = 95%
0.95 * 300 = 285
There are 285 students between 61.6 in and 68.7 in tall. 
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Step-by-step explanation:

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Teds science class collects aluminum cans to sell to the recycling center. The center pays a fixed amount for each kilogram of a
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The lengths of the
Dmitrij [34]

Answer:

S_{\Delta ABC} = 4·S_{\Delta EDC}

Step-by-step explanation:

From the midpoint theorem, which states that the line that a line drawn such that it joins the midpoints of two sides of a triangle, is parallel to the third side of the triangle and is equal to half the length of the third side

Therefore, the lengths of the sides of ΔDEF, drawn by joining the midpoints of ΔABC is equal to half the length of and parallel to the corresponding side of ΔABC

We therefore, have that the corresponding sides of ΔABC and ΔDEF have a common ratio and a pair of sides in each triangle form same angles, therefore;

ΔDEF is similar to ΔABC by Side, Side, Side SSS similarity.

The length of the perimeter of ΔABC, S_{\Delta ABC} = 2 × The length of the perimeter of triangle ΔEDC, S_{\Delta EDC}

S_{\Delta ABC} = 2 ×  S_{\Delta EDC}

∴  S_{\Delta ABC}  ≠ 4 ×  S_{\Delta EDC}

The statement which is incorrect is therefore;

S_{\Delta ABC}  = 4 ×  S_{\Delta EDC}.

4 0
3 years ago
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Pavel [41]

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3 years ago
Find the distance between the
Dovator [93]

Answer:

\displaystyle d = \sqrt{29}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)

<u>Algebra II</u>

  • Distance Formula: \displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Step-by-step explanation:

*Note:

The distance formula is derived from the Pythagorean Theorem.

<u>Step 1: Define</u>

<em>Identify</em>

Point (5, 10)

Point (10, 12)

<u>Step 2: Find distance </u><em><u>d</u></em>

  1. Substitute in points [Distance Formula]:                                                         \displaystyle d = \sqrt{(10 - 5)^2 + (12 -10)^2}
  2. [√Radical] (Parenthesis) Subtract:                                                                   \displaystyle d = \sqrt{5^2 + 2^2}
  3. [√Radical] Evaluate exponents:                                                                       \displaystyle d = \sqrt{25 + 4}
  4. [√Radical] Add:                                                                                                  \displaystyle d = \sqrt{29}
7 0
3 years ago
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