The next model of a sports car will cost 14.3% less than the current model. The current model costs $52,000. How much will the p
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Solve for hypotenuse
Hypotenuse =
Substitute 3 for A and 4 for B
Solve exponents
3^2 = 9
4^2 = 16
Add
9 + 16 = 25
Solve square root
= 5
5 is your answer
Hypotenuse =
Substitute 3 for A and 4 for B
Solve exponents
3^2 = 9
4^2 = 16
Add
9 + 16 = 25
Solve square root
5 is your answer
Answer:
n=206
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".
The population proportion have the following distribution
Solution to the problem
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by and
. And the critical value would be given by:
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that , we can use as prior estimate of p 0.5, since we don't have any other info provided, and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
And replacing into equation (b) the values from part a we got:
And rounded up we have that n=206
ANSWER
EXPLANATION
From the graph, the coordinates of Y are:
We want to find the image of this point after a dilation by a scale factor of -½ about the origin.
The rule for the dilation is :
To find the coordinates of Y', we plug the coordinates of Y.
The first choice is correct.