You can locate scholarly articles by using a(n) __________, a searchable set of information often organized by certain subject areas.

The mean and standard deviation of the distribution of R−S is;

Option B; Mean 3 and standard deviation 5

We are given details of two random variables R and S.

RandomVariableR;

- Mean; μ_R = 10

- Standard deviation; σ_R = 4

RandomVariable S;

- Mean; μ_S = 7

- Standard Deviation; σ_S = 3

We want to carry out R - S for both mean and standard deviation

1) For Mean; R - S would simply be done by subtracting normally as done in arithmetic operations.

Thus;  μ_R -   μ_S = 10 - 3

μ_R -   μ_S = 7

2) For standard deviation;

We know that standard deviation is not independent as it is the square root of variance.

Therefore, if we want to add or subtract standard deviations, it means that the variation will increase.

Thus, the difference in standard deviation is;

σ_R - σ_S = √((σ_R)² + (σ_S)²)

σ_R - σ_S = √((4)² + (3)²)

σ_R - σ_S = √25

σ_R - σ_S = 5

In conclusion, the distribution of R - S gives;

Mean = 3 and Standard deviation = 5

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Answer: B

Mean of 3 and Standard deviation of 5

Explanation:

Performing operations on means of independent variables is similar to performing arithmetic operations on natural numbers.

Subtracting the mean of S from R is 10 - 7 = 3

For the difference in standard deviation. It should be noted that when combining variables, the variation within the distribution. So therefore, adding or subtraction of variables, the variation will increase and will yield same answer.

To obtain the difference in standard deviation, the variances of the random variables has to be added and then the square root will be taken to return back to standard deviation.

SD(R-S)=sqrt(R²+S²)

SD=sqrt(4²+3³)

SD=sqrt(25)

SD=5

Answer:

B.30 Miles.

Explanation:

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Ask me for further explanations.

Answer:

B) 30 Miles

Explanation:

The kinetic energy 22,500 joules

The calculation can be done as follows

mass= 0.5 kg

time= 300 m/s

Kinetic energy= 1/2mv²

= 1/2 × 0.5 × 300²

= 0.5 × 0.5 × 90,000

= 22,500

Hence the Kinetic Energy is 22,500 joules

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KE = 22500 J

KE= 1/2mv^2

1/2*.5*300^2

that's your answer AND formula.

Final answer:

Solitude is important for self-reflection, self-discovery, creativity, and productivity. It can be practiced by allocating dedicated quiet time, taking solo trips, disconnecting from digital distractions, and maintaining regular solitude time.

Explanation:

In both personal and academic perspectives, solitude is important for numerous reasons. It offers a chance for self-reflection, self-discovery, and fosters creativity and productivity. Several prominent thinkers, writers, and philosophers have lauded the benefits of spending time alone. There are several ways to practice solitude. First, you can allocate specific time in your daily schedule for quiet and private time. This could involve activities such as meditation, reading, or walks in nature. Second, you could take solo trips or retreats to experience solitude for longer periods. Further, you can disconnect from digital devices for certain periods to reduce distractions and cultivate a quiet mind. Lastly, maintaining a regular practice of solitude promotes mental wellbeing and personal growth.

Learn more about solitude here:

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