The volume, in cubic feet, of a right cylindrical silo of height h and radius r is V = πr2h. The height of the silo is h(r) = 3.

Response:

The outcome is 4144.

Detailed explanation:

We need to determine the peak value of f(x)= when

We can represent as

Plugging the value of y

=

=

To find the maximum, we'll set the equation to 0.

Thus, we find:

=> x = 4

And since

> y = 4

Hence, we will substitute these values into the equation to ascertain the maximum value.

=

=

=

= = 4144

There will still be 34.5 L of water in the two pails combined because no water is lost.
Thus the total remains 34.5 L after transferring water between them.
Let the final amount in the smaller pail be x.
Then the larger pail contains 9x.
So x + 9x = 34.5.
That simplifies to 10x = 34.5.
Dividing both sides by 10 gives x = 3.45.
Therefore the smaller pail held 3.45 L at the end.
Because 0.68 L was poured into it, its initial volume was 2.77 L (3.45 minus 0.68)
We can also deduce the larger pail initially contained 31.73 L
(either 35 minus 2.77, or 9 times 3.45 plus 0.68)

Divide 1006 by 12

1006 / 12 = 83.833

This results in 83 complete trucks

83 * 12 = 996

Hence, 10 cars will be in the final truck

Answer: 0.1289

Step-by-step explanation:

Given: The proportion of students absent on Mondays at a large university.:

Sample size:

Mean:

Standard deviation =

Let x represent a binomial variable.

Referencing the standard normal distribution table,

(1)

Z score for normal distribution:-

For x=4

For x=3

Thus, from (1)

Consequently, the likelihood of four students being absent =