Average fall rate =
Detailed explanation:
Given that the position of the object is expressed as a function of time, we can compute the average velocity of the object during the first 3 seconds by determining its position at time 0 and at 3 seconds, finding the displacement over that period, and then dividing this distance by the elapsed time (3 seconds). This approach follows the concept that velocity equals distance covered divided by time spent:
Average rate of fall = (h(3) - h(0))/ 3
Average rate of fall =
<span>cy + 3 = 6d - 2y
cy + 2y = 6d - 3
(c + 2)y = 6d - 3
y = (6d - 3)/(c + 2)</span>
Answer:
Step-by-step explanation:
Previous concepts
Normal distribution, is defined as a symmetric "probability distribution centered around the mean, indicating that values near the mean are more common than those further away".
The Z-score measures a value's relation to the mean of a set of values, displayed in terms of how many standard deviations away it is from that mean.
According to the central limit theorem, "with a population having mean μ and standard deviation σ, if we draw sufficient random samples from this population with replacement, the means of those samples will resemble a normal distribution, regardless of the original population's shape, as long as the sample size is large enough".
Solution to the problem
In this scenario, we select a sample size of n = 100
The central limit theorem informs us that the distribution of the sample mean 
is defined by:
Thus, the mean for the sample would be:
And the standard deviation would be:
I believe that option C is the appropriate choice from the provided selections. The term 'rem preimage' does not accurately characterize polygon A'B'C'D'. The preimage is defined as the original shape before undergoing any transformation. In this scenario, the transformation involved is a rotation combined with a dilation. I hope this clarifies your inquiry.
The percentage rise in Boris's car insurance costs is 249%. Step-by-step explanation: To find the percentage increase in Boris's car insurance, we need to apply a mathematical formula. The formula is {(new amount - old amount) / old amount} * 100%. Given the previous data, the old amount is £256, and the new amount is £894. Hence, the percentage increase results in (894 - 256) / 256 * 100% = 638 / 256 * 100 = 249.21875, which rounds to 249%.
