The volumes of two similar solids are 210 m3 and 1,680 m3. The surface area of the larger solid is 856 m2. What is the surface a

Answer:

The height of the rock after 3.2 seconds has passed.

Step-by-step explanation:

To respond to this question, we must examine the provided function:

h(t) = –16t2 + 28t + 500

This function h(t) denotes the height of a rock t seconds after it has been launched by a slingshot.

t signifies time (in seconds)

As t is the independent variable and h is the dependent variable, the height of the rock at 3.2 seconds is expressed as h(3.2).

If you have any further questions or need clarification, feel free to ask.

The world’s largest pumpkin weighed 1,805 kilograms.

Answer: (97.98, 112.020)

Step-by-step explanation: We will create a 95% confidence interval for the average weight of melons.

Given the information, we determine that the critical value for the interval needs to be retrieved from a t distribution table due to the sample size being below 30 (specifically, 20), and we are provided with the sample standard deviation (s = 15 lb).

The parameters provided are:

Sample mean = x = 105 lb

Sample standard deviation = s = 15 lb

Sample size = n = 20

To establish the 95% confidence interval, we indicate that the level of significance is 5%.

The formula for the confidence interval is:

u = x + tα/2 × s/√n... for the upper limit

u = x - tα/2 × s/√n... for the lower limit.

tα/2 represents the critical value for the test (which will be determined using the t distribution table).

To derive tα/2, we look for the value based on the degrees of freedom (sample size - 1) against the significance level for a two-tailed test (α/2 = 0.025%) in a t distribution table.

For the upper limit, we calculate:

u = 105 + 2.093×15/√20

u = 105 + 2.093× (3.3541)

u = 105 + 7.020

u = 112.020.

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u = 105 - 2.093×15/√20

u = 105 - 2.093× (3.3541)

u = 105 - 7.020

u = 97.98

Confidence interval (97.98, 112.020)

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Max's initial distance from Kim
Max's consistent velocity

Answer:

13.8%

Step-by-step explanation:

With six employees and six checks, there are a total of 36 (6x6) possible distributions. To determine the probability that exactly five individuals receive the correct checks, there’s only one correct distribution for each of them out of the 36 possibilities, resulting in the calculation of 1/36 for the first and then 1/36 for the subsequent checks. Therefore, the final probability becomes 5/36 = 13.8%.