Answer:
3x^2+5
Step-by-step explanation:
f(x) = 3x + 2 ; g(x) = x^2+ 1
(fºg)(x) = 3(x^2+ 1)+2
(fºg)(x) = 3x^2+3+2
(fºg)(x) = 3x^2+5
The value of a given that A = 63°, C = 49°, and c = 3 is 4 units
<h3>How to determine the value of a?</h3>
The given parameters are:
A = 63°, C = 49°, and c = 3
Using the law of sines, we have:
a/sin(A) = c/sin(C)
So, we have:
a/sin(63) = 3/sin(49)
Multiply both sides by sin(63)
a = sin(63) * 3/sin(49)
Evaluate the product
a = 4
Hence, the value of a is 4 units
Read more about law of sines at:
brainly.com/question/16955971
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Answer:
(E) Number of students in the data set
Explanation:
A variable, in research and data collection, refers to something that is being measured and can have changing values.
The example above shows that student birth month is a variable since we can have a range of options from January to December. Political affiliation is also a variable since the students can state whether they follow certain political parties or even whether they do not. Student age is a variable too, with answers from a range of numbers such as 20-25, since they are college students. Student address is a variable as well since students will have varying answers, be it those who live in the same address or different ones.
However, number of students in the data set is not a variable – it is instead the number of research participants. It can be a population or a sample, depending on what the research is about.
Answer:
a. With 90% confidence the proportion of all Americans who favor the new Green initiative is between 0.6290 and 0.6948.
b. If the sample size is changed, the confidence interval changes as the standard error depends on sample size.
About 90% percent of these confidence intervals will contain the true population proportion of Americans who favor the Green initiative and about 10% percent will not contain the true population proportion.
Step-by-step explanation:
We have to calculate a 90% confidence interval for the proportion.
The sample proportion is p=0.6619.
The standard error of the proportion is:
The critical z-value for a 90% confidence interval is z=1.6449.
The margin of error (MOE) can be calculated as:
Then, the lower and upper bounds of the confidence interval are:
The 90% confidence interval for the population proportion is (0.6290, 0.6948).
