Answer:
The formula representing the penny's height as a function of time is:
After 7 seconds, the height of the penny will reach 667 feet.
Step-by-step explanation:
The penny experiences free fall.
With an initial velocity of zero and an initial height of h(0)=1,451.
Gravity acts as the acceleration, measured as g=32 ft/s^2.
The model can be initiated by analyzing speed:
Then, the height is expressed as:
The height of the penny at approximately 7 seconds can be calculated as:
After 7 seconds, the penny will stand at a height of 667 feet.
Answer:
The P-value signifies that the likelihood of obtaining a linear correlation coefficient that is as extreme or more extreme is 3.5%, which is considered significant at α=0.05. Thus, we have sufficient evidence to assert that there exists a linear correlation between the weight of automobiles and their highway fuel consumption.
Step-by-step explanation:
The correlation coefficient demonstrates the relationship between the weights and highway fuel consumption values across seven distinct types of automobiles.
The P-value expresses the significance of this connection. If the p-value is beneath a significance level (e.g., 0.05), it indicates that the relationship is indeed significant.
The expression evaluates to 54.
Solution:
30% of the workforce consists of managers.
Explanation:
Given that there are 80 employees, out of which 24 are managers, we need to determine what percentage this represents.
This percentage can be calculated using the formula below:
By plugging in the known values, we have:
Thus, 30% of the employees are managers.
