Answer:
The first one.
Step-by-step explanation:
The first one. 7x² times 2x = 14x³
Answer:
81.167~
Step-by-step explanation:
You can find the mean (or average) of a set of numbers by adding them together and dividing the sum by the amount of values there are.
In this case, there are 6 values.
The total sum of the six values is 487.
To receive the mean, divide 487 by 6.
Answer:
a) The formula is given by mean the margin of error. Where the margin of error is the product between the critical value from the normal standard distribution at the confidence level selected and the standard deviation for the sample mean.
b)
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
If the distribution for X is normal or if the sample size is large enough we know that the distribution for the sample mean is given by:
Part a
The formula is given by mean the margin of error. Where the margin of error is the product between the critical value from the normal standard distribution at the confidence level selected and the standard deviation for the sample mean.
Part b
The confidence interval for the mean is given by the following formula:
This problem is solely on right triangles, wherein the Pythagorean theorem may be applied. We must first find the angle of elevation of the flagpole using Tim's height and the difference between the shadow of the flagpole and Tim's distance from the flagpole. Therefore tan a = 1.65/(16.6-12.5) where a=21.68 degrees. We use this angle to determine the height of the flagpole. tan 21.68 = x/ 16.6 where x=height of flagpole=6.6 meters.