54 students do not know what they're going to do after graduating
Answer:
22.2%
Step-by-step explanation:
The Program rating of a program is the percentage of TV households in an area that are tuned to a specific program during a specific time period.
The designated market area (DMA) of Boston has approximately 3 million television households.
Audience research shows that 45 percent of these households had their sets turned on during a particular Saturday evening.
45% of 3 Million = 0.45 X 3000000 = 1,350,000
Out of these 1,350,000, 300,000 households were watching Sports Stories.
Therefore, the program rating for Sports Stories in the Boston DMA is:
Since the required number is between 234 and 250, then the first digit of the number is 2 and the second digit can either be 3 or 4.
Let the second and the third digits be x and y respectively, then
2 + x + y = 2y
Consider when the second digit is 3, then
2 + 3 + y = 2y
5 = y
Thus, the number is 235.
Similarly, consider when the second digit is 4, then
2 + 4 + y = 2y
6 = y
Thus, the number is 246.
Since the required number is an even number, therefore, Isabel's number is 246.
Answer:
radius = 1.37 cm
height = 2.71 cm
Step-by-step explanation:
We are given volume = 16 m³.
Formula for volume of a cylinder is;
V = πr²h
Thus,
πr²h = 16
h = 16/πr²
Now formula for the surface area is;
S = 2πr² + 2πrh
Putting 16/πr² for h gives;
S = 2πr² + 2πr(16/πr²)
S = 2πr² + 2π(16/πr)
S = 2π(r² + 16/πr)
To minimize, we will find the derivative of S and equate to zero
S' = 2π(2r - 16/πr²) = 0
4πr - 32/r² = 0
4πr = 32/r²
r³ = 32/4π
r = ∛(32/4π)
r = 1.37 cm
From h = 16/πr²;
h = 16/(π × 1.37²)
h = 2.71 cm
