Answer:
Equivalent expressions
A) 
C) 
Step-by-step explanation:
Given expression :
Choices given :
A)
B) 
C)
D) 
To find the equivalent expression.
We will first evaluate the given expression.
⇒ 
[Quotient of a negative dividend and a positive divisor is always negative]
Evaluating each choice to select the equivalents.
A)
⇒ [Quotient of a positive dividend and a negative divisor is always negative]
B)
⇒ 
⇒ 
C)
⇒ 
[Product of a positive and a negative is always a negative]
⇒
D)
⇒ [Product of two negatives is always a positive]
⇒
∴ We see that the choices A and C are equivalent.
The mean, variance, and standard deviation are 1, 8,33 and 2.89
<h3>How to find the mean, variance, and standard deviation?</h3>
The distribution is given as:
[a, b] = [-4, 6]
The mean is calculated as;
Mean = (a + b)/2
So, we have
Mean = (-4 + 6)/2
Evaluate
Mean = 1
The variance is calculated as;
Var = (b - a)^2/12
So, we have
Var = (6 + 4)^2/12
Evaluate
Var = 8.33
The standard deviation is calculated as;
SD= sqrt(Var)
So, we have
SD = sqrt(8.33)
Evaluate
SD = 2.89
Hence, the mean, variance, and standard deviation are 1, 8,33 and 2.89
Read more about uniform distribution at:
brainly.com/question/16238191
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3/(<em>x</em> ² - 1) = 3/((<em>x</em> - 1) (<em>x</em> + 1)) = <em>a</em>/(<em>x</em> - 1) + <em>b</em>/(<em>x</em> + 1)
==> 3 = <em>a</em> (<em>x</em> + 1) + <em>b</em> (<em>x</em> - 1)
==> 3 = (<em>a</em> + <em>b</em>) <em>x</em> + <em>a</em> - <em>b</em>
==> <em>a</em> + <em>b</em> = 3 and <em>a</em> - <em>b</em> = 0
==> <em>a</em> = <em>b</em>
==> <em>a</em> + <em>b</em> = 2<em>a</em> = 3 ==> <em>a</em> = 2/3 and <em>b</em> = 2/3
So you have
3/(<em>x</em> ² - 1) = 2/(3(<em>x</em> - 1)) + 2/(3(<em>x</em> + 1))
Answer:
40
explanation:
The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract the lowest number from the highest. The answer gives you the range of the list.
