Answer:
The correct answer is 0.1
Step-by-step explanation:
We know the total no of ways in which 3 boys and 3 girls can be seated equals 6!
Now since we want all the 3 girls and the 3 boys to sit together
Let B1 , B2 , B3 be the boys and G1, G2, G3 be the boys and girls respectively
the no of ways to arrange boys = 3!
Similarly the number of ways to arrange girls = 3!
Thus the total no of ways to arrange both boys and girls = 3! x 3!
Thus the probability is given by
varies directly means
inserting y = -18 and x = 3 ⇒ ⇒ -6 = k
next, insert k = -6 into the varies directly equation and solve for y. y = -6x
Answer: C
The box should have base 52 cm by 52 cm and height 26 cm.
What is volume?
A three-dimensional space's occupied volume is measured. It is frequently expressed as a numerical value using SI-derived units, other imperial units, or US customary units. Volume definition and length definition are connected.
The Volume of a box with a square base x by x cm and height h cm is
Since the surface area directly affects the amount of material used, we can reduce the amount of material by reducing the surface area.
The surface area of the box described is
We need A as a function of x alone, so we'll use the fact that
⇒
So, the area becomes,
We want to minimize A, so
The second derivative test verifies that A has a minimum at this critical number:
which is positive at x = 52.
Now,
Hence, The box should have base 52 cm by 52 cm and height 26 cm.
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