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Questions in Grade High-school

[Terjawab] \(\left[\begin{array}{cc}3 & -1 \\ -3 & 6 \\ -6 & -6\end{array}\right] \cdot\left[\begin{array}{cc}-1 & 6 \\ 5 & 4\end{array}\right]\)

[Terjawab] $3x + 2y + 8 = 0$ The taxi fare in a city is charged as per the rates stated below: Rate for the first kilometer of journey is Rs 5 and the rate for the subsequent distance covered is Rs 4 per km. Find two solutions of the equation. What is the total fare if a boy has traveled 10 km?

[Terjawab] Solve $\frac{z-1}{10}=\frac{z+1}{12}$.

[Terjawab] What is the approximate volume of a tree trunk if the trunk is 13 feet tall with a circumference of 4.5 feet? Recall that the circumference of a circle is equal to pi times its diameter. A. $33.09 ft ^3$ B. $27.14 ft ^3$ C. $20.95 ft ^3$ D. $17.16 ft ^3$

[Terjawab] Which statement is true about this reaction? N+H-150 A. It is a practical source of energy on Earth. B. It occurs only outside the solar system. C. Its product is heavier than each of its reactants. D. It shows the critical mass of an element.

[Terjawab] As Chinese leader, what did Mao Zedong accomplish? A. He systematically dismantled the Nationalist Party. B. He seized control of Taiwan from Chiang Kai-shek. C. He redistributed land in the countryside to farmers. D. He helped owners regain control of their businesses.

[Terjawab] An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?

[Terjawab] What is the purpose of creating an Interest-Influence Matrix? A) To determine stakeholder rewards for successful completion of the project. B) To create an organizational chart for the stakeholders. C) To identify and prioritize stakeholders' communication based on their level of involvement and impact on the project. D) To know whom to hold accountable for project failures.

[Terjawab] Find the real rate of return for the investment you purchased for $100 five years ago, that has a current price of $110, and dividends of $2 per share. The inflation rate is 2%.

[Terjawab] 2.(a) Define systematic sampling. Discuss sample selection procedures in this sampling. Suggest an unbiased estimator of the population mean. Show that the systematic sample mean \(\bar{y}_{sys}\) is more efficient than the simple random sample mean \(\bar{y}\) if the variance within the systematic samples is more than the total variation in the population, i.e., \(S_w^2 > S^2\).