Answer: the length of one edge of the square base of the second container is 6 inches.
Step-by-step explanation:
The formula for determining the volume of a rectangular container is expressed as
Volume = length × width × height
Considering the first container,
Length = 12 inches
Width = 8 inches
Height to which the water is filled is 6 inches.
Therefore, volume of water in the container is
12 × 8 × 6 = 576 inches³
Considering the second container,
Height of water = 16 inches
Let L represent the length of the square base. Then the area of the square base is L²
Volume of water would be 16L²
Since the water in the first container was poured into the second container, then
16L² = 576
L² = 576/16 = 36
L = √36
L = 6 inches
60 Are taken but the single is 1 and is that you
Answer:
Yes
Step-by-step explanation:
First, we need to find how many cars out of the entire fleet fail the test
4/32 = x/150
Cross multiply to find x
32x = 150(4)
32x = 600
32x/32 = 600/32
x = 18.75
I'll round it to 19. So 19 out of 150 cars fail the test. Find the percentage of this and compare it to the 30% estimate
19 /150 = 0.127
0.127(100) = 12.7%
12.7% is obviously lower than 30% so yes it is strong evidence the percentage of the fleet out of compliance is different from their initial thought
Answer: x^2 + 3x - 1.
Step-by-step explanation: We need to divide x^3 + 5x^2 +5x-2 by x+2. This is dividing polynomials. Divide each number by x and multiply the quotient by 2 and subtract the answer.
In 371 ways Mrs. Sullivan choose two students from 27 to help put away calculators at the end of class
Step-by-step explanation:
let us assume that Mrs.Sullivan wants to choose 2 students from a group of 27 students
So ,in the first choice we have 27 students
In the second choice we have 26 choices
So Mrs.Sullivan has = 27 × 26 = 702 ways
But each group repeated twice,in order to avoid that we will divide the answer by 2
so we will write
= 702 ÷ 2 =<u> 351 ways</u>
<u>This method of calculation is called Combination</u>