A shower has a flow rate of 2.3 gallons per minute. If a person takes an average of 6 showers per week and the average length of
2 answers:
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Answer:
(e) the mean number of siblings for a large number of students has a distribution that is close to Normal.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
By the Central Limit Theorem
The sampling distributions with a large number of students(at least 30) will be approximately normal, so the correct answer is given by option e.
Answer:
The answer to your question is below
Step-by-step explanation:
Data
Equation 25x² + 64y² = 1600
Process
1.- Divide all the equation by 1600
25x²/1600 + 64y²/ 1600 = 1600/1600
-Simplify
x²/64 + y²/ 25 = 1
2.- Equation of a horizontal ellipse
3.- Find a, b and c
a² = 64 a = 8
b² = 25 b = 5
-Calculate c with the Pythagorean theorem
a² = b² + c²
-Solve for c
c² = a² - b²
-Substitution
c² = 8² - 5²
-Simplification
c² = 64 - 25
c² = 39
-Result
c = √13
4.- Find the center
C = (0, 0)
5.- Find the vertices
V1 = (-8, 0) V2 = (8, 0)
6.- Find the foci
F1 = (-√13, 0) F2 = (√13, 0)
Answer:
Step-by-step explanation:
For the complex number the absolute value is
Given the complex number For this complex number,
then the absolute value is
The difference between
i) <span>14k+2(3k+5)-5=10 and
ii) </span><span>14k+6k+10-5=10
is the equality </span>2(3k+5)=6k+10
The property used here, can be described for any numbers a, b and c as:
This is called the DISTRIBUTIVE PROPERTY
Answer: DISTRIBUTIVE PROPERTY
i) <span>14k+2(3k+5)-5=10 and
ii) </span><span>14k+6k+10-5=10
is the equality </span>2(3k+5)=6k+10
The property used here, can be described for any numbers a, b and c as:
This is called the DISTRIBUTIVE PROPERTY
Answer: DISTRIBUTIVE PROPERTY