Response:
Alan's survey aims to determine the art preferences among students at the local high school.
To conduct a thorough investigation, he needs to consider all students in the school as the target population since that is his goal.
Nevertheless, in many cases involving statistical studies, it's impractical to include the entire population. In such instances, a sample that accurately reflects the overall student body is employed.
This sample is a subset of the population and must share the same characteristics and attributes; otherwise, the findings may be skewed.
Thus, a feasible sample would consist of a specific number of students from each grade level, including freshmen, sophomores, juniors, and seniors. This approach ensures the sample accurately represents the larger population.
Answer:
This is how the money should be divided:
Each of my two younger siblings receives P3,000.
I will take P4,000.
The reasoning for this allocation stems from the principle that the eldest and youngest siblings should not receive equal portions when dividing assets.
Step-by-step explanation:
This division approach is the only sensible method to distribute P10,000 among myself and my younger siblings while ensuring no fractions are involved, maintaining whole peso amounts. Any other method would result in leftover change.
A right triangle will have 2.2 km as its hypotenuse, with an angle of 0.5 degrees and an unknown height (see attachment).
Remember to apply the trigonometric ratios: sine, cosine, and tangent for right triangles.
Sin<span>θ = opposite side/hypotenuse
</span>Cos<span>θ = adjacent side/hypotenuse
</span>tan<span>θ = opposite side / adjacent side
</span>In this scenario, θ signifies the angle (not the right angle), which is given as 0.5°.
For this problem, we use sine as we have the side opposite the angle (the unknown height h) and the hypotenuse, with sine relating these two sides.
Let h represent the unknown opposite side, the height.
sin(0.5°) = h / (2.2km)
h = (2.2km)sin(0.5<span>°)
h = 0.019 km
I hope this has clarified your question! If you need clarification on any steps, please ask below.</span>
Manny's assertion is flawed; his reasoning lacks adequate support for his claim.
The response is A
I hope this information is useful.
