- The 20th percentile represent the temperature value which is less than or equal to the 20% of the temperature values in the distribution.
- The 20th percentile temperature is 36.5°C which is Mr. Whitney's temperature.
- The mean temperature value in °Fahrenheit is 98.249°F
- The standard deviation value of temperature in °F is 32.734°F
The 20th percentile represents the score at which less than or equal to 20% of the scores in a distribution may be found. This is the score at which less than or equal to 20% of the temperature values in the distribution may be found.
Mr. Whitney's temperature :
20th percentile ;
20% of (n)
Where n = count of temperature values = 130
20% × 130 = 26th term
The 26th falls in 36.5 temperature value.
The mean temperature reading in degree Fahrenheit :
°F = (9/5)°C + 32
Mean in °C = 36.805
°F = (9/5) × 36.805 + 32
°F = 66.249 + 32
= 98.249°F
The standard deviation of temperature reading in degree Fahrenheit :
°F = (9/5)°C + 32
Standard deviation in °C = 0.408
°F = (9/5) × 0.408 + 32
°F = 0.7344 + 32
= 32.7344°F
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The answer is D. -15 because I am assuming that the vertical lines mean brackets, and we have to work out the brackets first (according to BIDMAS). Doing so, -6 + 2 = -4 and -4 + -11 = -15.
I wrote my STATEMENTS and REASONS as follows:
STATEMENT: 1. Line segments AE & DB intersect at C.
REASON: 1. Given.
STATEMENT: 2. Line segments AC & EC are congruent.
REASON: 2. Given.
STATEMENT: 3. Line segments BC & DC are congruent.
REASON: 3. Given.
STATEMENT: 4. Angles ACB & ECD are congruent.
REASON: 4. Vertical angles are congruent (Theorem) VERTICALLY OPPOSITE ANGLES ARE EQUAL..THAT IS THE CORRECT STATEMENT.
STATEMENT: 5. Triangles ABC & EDC are congruent.
REASON: 5. (SSS are congruent to SSS). If three sides of one triangle are congruent, respectively, to three sides of a second triangle, then the triangles are congruent. (Postualte) ...NO THEOREM IS SAS..2 SIDES AND INCLUDED REPEAT INCLUDED ANGLES ARE EQUAL RESPECTIVELY THE CORRESPONDING SIDES AND INCLUDED ANGLE , THEN THE 2 TRIANGLES ARE CONGRUENT.
I'm not sure if Step 4 is correct or if I can even write that statement.IT IS OK BUT FOR THE SLIGHT MODIFICATION SUGGESTED.
REASON 5 IS TO BE CHANGED AS GIVEN .
I would just choose a,d,and c
