Answer:
Length = 5p + 3
Perimeter = 26p + 6
Step-by-step explanation:
Given
Area = 40p² + 24p
Width = 8p
Solving for the length of deck
Given that the deck is rectangular in shape.
The area will be calculated as thus;
Area = Length * Width
Substitute 40p² + 24p and 8p for Area and Width respectively
The formula becomes
40p² + 24p = Length * 8p
Factorize both sides
p(40p + 24) = Length * 8 * p
Divide both sides by P
40p + 24 = Length * 8
Factorize both sides, again
8(5p + 3) = Length * 8
Multiply both sides by ⅛
⅛ * 8(5p + 3) = Length * 8 * ⅛
5p + 3 = Length
Length = 5p + 3
Solving for the perimeter of the deck
The perimeter of the deck is calculated as thus
Perimeter = 2(Length + Width)
Substitute 5p + 3 and 8p for Length and Width, respectively.
Perimeter = 2(5p + 3 + 8p)
Perimeter = 2(5p + 8p + 3)
Perimeter = 2(13p + 3)
Open bracket
Perimeter = 2 * 13p + 2 * 3
Perimeter = 26p + 6
Given:
volume of the block = 576 cubic inches
Square pyramid = base area : 3 square inches ; height = 4 inches
Volume of square pyramid = a² * h/3
V = 3 square inches * 4inches/3
V = 4 cubic inches
volume of block / volume of square pyramid
576 cubic inches / 4 cubic inches = 144
She can make 144 square pyramids.
For a set population, does a parameter ever change?
Answer: For a set population, a parameter never change.
Because while computing the parameter each and every unit of the population is studied. Therefore, we can not expect a parameter to vary.
If there are three different samples of the same size from a set population, is it possible to get three different values for the same statistic?
Answer: Data from samples may vary from sample to sample, and so corresponding sample statistic may vary from sample to sample.
Because while calculating the sample statistic, we consider only the part of population. Every time we draw a sample from population, there is every possibility of getting different sample. Therefore, data from samples may vary from sample to sample and corresponding sample statistic may vary from sample to sample.
Answer:
It would be a 3/4 chance that he will pull the right 4 coins.
Step-by-step explanation:
Answer:
Largest possible length is <em>21 inches</em>.
Step-by-step explanation:
Given:
Total material available = 60 inches
Length to be 3 more than twice of width.
To find:
Largest possible length = ?
Solution:
As it is rectangular shaped frame.
Let length = 
inches and
Width = 
inches
As per given condition:
..... (1)
Total frame available = 60 inches.
i.e. it will be the perimeter of the rectangle.
Formula for perimeter of rectangle is given as:
Putting the given values and conditions as per equation (1):
Putting in equation (1):
So, the answer is:
Largest possible length is <em>21 inches</em>.
