Is 3 1/4 closer to 3 or 4is 3 3/5 closer to 3 or 4
1 answer:
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Answer:
Written out the equation would look like f(x) = 55(1.06)^x
The graph would look something like the attached picture. (It intercepts with the y-axis at 55).
The discriminant of the equation 
is 76.
I hope that helps.
I hope that helps.
Answer:
a) The 95% confidence interval would be given (0.070;0.121).
b) "increase the sample size n"
"decrease za/2 by decreasing the confidence"
Step-by-step explanation:
Notation and definitions
number of vehicles classified as sports utility.
random sample taken
estimated proportion of vehicles classified as sports utility vehicles.
true population proportion of vehicles classified as sports utility vehicles.
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
(a) Use a 95% confidence interval to estimate the proportion of sports utility vehicles in California. (Round your answers to three decimal places.)
The confidence interval would be given by this formula :
For the 95% confidence interval the value of and
, with that value we can find the quantile required for the interval in the normal standard distribution.
And replacing into the confidence interval formula we got:
And the 95% confidence interval would be given (0.070;0.121).
We are confident (95%) that about 7.0% to 12.1% of vehicles in California are classified as sports utility .
(b) How can you estimate the proportion of sports utility vehicles in California with a higher degree of accuracy? (HINT: There are two answers. Select all that apply.)
For this case we just have two ways to increase the accuracy one is "increase the sample size n" since if we have a larger sample size the estimation would be more accurate. And the other possibility is "decrease za/2 by decreasing the confidence" because if we decrease the confidence level the interval would be narrower and accurate
Values of the composite function:
Step-by-step explanation:
Given two functions f(x) and g(x), their composite function is given by
Which means using the output value of g(x) as input for f(x).
Let's start by computing
First, we compute the value of f(-1), which is (from the graph)
f(-1) = 1
Now we use this value as input into g(x); we notice that at x = 1, the value of g(x) is 6, therefore:
Now we evaluate
First, we compute the value of f(0), which is (from the graph)
f(0) = 0
Now we use this value as input into g(x); at x = 0, the value of g(x) is 7, therefore:
Now we evaluate
First, we compute the value of g(-1), which is (from the graph)
g(-1) = 5
Now we use this value as input into f(x); at x = 5, the value of f(x) is 3, therefore:
Finally we evaluate
First, we compute the value of g(4), which is (from the graph)
g(4) = 4
Now we use this value as input into f(x); at x = 4, the value of f(x) is 2, therefore:
Learn more about composite functions:
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