Answer: An independent variable is exactly what it sounds like. It is a variable that stands alone and isn't changed by the other variables you are trying to measure. For example, someone's age might be an independent variable.
Answer:
Side is 8 meters, Perimeter is 32 meters
Step-by-step explanation:
<em>One side </em>
Squares have 4 equal sides. Area is found using l*w, but the sides are all equal in squares. Therefore, the area can be found using:
a=s^2
We know the area is 64, so we can substitute that in
64=s^2
Take the square root of both sides

8=s
One side is 8 meters
<em>Perimeter</em>
Squares have 4 equal sides, and the perimeter is all the sides added up.
p=s+s+s+s
We know the side is 8, so we can substitute that in
p=8+8+8+8
p=4*8
p= 32
The perimeter is 32 meters
Answer: (f-g)(x) is equivalent to f(x) - g(x)
So that would be (2x²-5) - (x²-4x-8) = 2x² - x² + 4x + 8 - 5 = x² + 4x + 3
Hope this helps.
Answer:
The probability that <em>X</em> is less than 42 is 0.1271.
Step-by-step explanation:
The random variable <em>X </em>follows a Normal distribution.
The mean and standard deviation are:
E (X) = <em>μ</em> = 50.
SD (X) = <em>σ</em> = 7.
A normal distribution is continuous probability distribution.
The Normal probability distribution with mean µ and standard deviation σ is given by,

To compute the probability of a Normal random variable we first standardize the raw score.
The raw scores are standardized using the formula:

These standardized scores are known as <em>z</em>-scores and they follow normal distribution with mean 0 and standard deviation 1.
Compute the probability of (X < 42) as follows:

*Use a <em>z</em>-table for the probability.
Thus, the probability that <em>X</em> is less than 42 is 0.1271.
The normal curve is shown below.