- 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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Answer:
2
Step-by-step explanation:
the absolute value of a-5 is 3, 3-1 is 2
Answer:
Step-by-step explanation:
The expression is:
Find its value when n = 3, substitute n with 3 in the expression:
The matching answer choice is B.
4(x + 3) ≤ 0 OR 1/4(x+ 1) > 3
4(x + 3) ≤ 0
Simplify.
4x + 12 ≤ 0
Subtract 12 from both sides.
4x ≤ -12
Divide both sides by 4.
x ≤ - 3
1/4(x + 1) > 3
Simplify.
1/4x + 1/4 > 3
Subtract 1/4 from both sides.
1/4x > 3 - 1/4
Simplify.
1/4x > 2 3/4
Multiply both sides by 4.
x > 11/4 × 4
Simplify.
x > 11
So, our first equation had x ≤ -3 and our second equation had x > 11
Which one is greater?
x > 11 is greater
~Hope I helped!~
Answer:
Option (1)
Step-by-step explanation:
The given complex number is (2+5i)/(3+i)
multiplying the numerator and the denominator by the conjugate of (3+i) which is (3-i)
The denominator = (3+i)(3-i) = 3² - i² = 9 - (-1) = 10
The numerator = (2 + 5 i ) ( 3 - i ) = 2(3-i) + 5i (3 - i)
= 6 - 2i + 15 i - 5 i²
= 6 + 13 i + 5 = 11 + 13 i
So, the given complex number can be simplified to ( 11 + 13i)/10
Distributing numerator over denominator.
The simplified number = (11/10) + (13/10) i
The answer is option (1)