Answer:
The standard deviation of a probability distribution is a measure of variability of the distribution.
Step-by-step explanation:
We have been given an incomplete statement. We are asked to complete the given statement.
We know that standard deviation is measure of variability or dispersion of a set of data values.
It tells up how much a data point is spread out from the average or mean of the data set.
Therefore, option A is the correct choice.
Answer:
5 * 5 * 5 * 5
Step-by-step explanation:
Use the rules of Indices.
5⁶⁻²
= 5⁴
Answer:
The largest area enclosed is A = xy = 6 feet 
6 feet = 36 
Step-by-step explanation:
i) The perimeter of the area is 2(x + y) =24 ∴ x + y = 12 ∴ y = 12 - x
ii) The area of rectangle enclosed A = xy ⇒ A = x ( 12 - x) = 12x - 
iii) differentiating both sides of the equation in ii) we get
⇒ x = 6 feet
iv) Differentiating both sides of equation in iii) we get 
= -2
Therefore the area enclosed is maximum as the double derivative is negative
v) therefore for largest area enclosed x = 6 feet and y = 12 - 6 = 6 feet
vi) therefore the largest area enclosed is
A = xy = 6 feet 6 feet = 36
Here are a few things you'll need to know for this question:
- Domain: <u>The list of x-values that are possible on a line.</u>
- Range: <u>The list of y-values that are possible on a line.</u>
- Interval Notation: <u>Shows the domain/range using the endpoints</u>. Brackets mean that the endpoint is included, parentheses mean the endpoint is excluded. Ex: (2,10]. 2 is excluded, 10 is included.
- Closed Circles: <u>The endpoint is included.</u>
- Open Circles: <u>The endpoint is excluded.</u>
So firstly, let's look at the domain. We see that there is a closed circle at x = -2 and an open circle at x = 5. Using what we know, <u>the interval notation of the domain is [-2,5).</u>
Next, let's look at the range. We see that there is a closed circle at y = -5 and an open circle at y = 2. Using what we know, <u>the interval notation of the range is [-5,2).</u>
Answer:
Step-by-step explanation:
opp=x,hyp=10
sin 53°=
cross multiply
sin 53° x 10 =x
0.7986 x 10=x
7.98=x
x≅ 8.0
