Answer:
Step-by-step explanation:
The oblique asymptote of
,
We perform the long division as shown in the attachment.
The quotient is;
Comparing to 3x+k
Hence the value of k is
How many arches are in an equilateral triangle
2 answers:
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Answer:
y = 12
Step-by-step explanation:
The standard form of the exponential function is
y = a
Find a and b by substituting ordered pairs from the table into the equation
Using (0, 12 ), then
12 = a (
= 1 ), so
a = 12, then
y = 12
Using (1, 34.8 ) , then
34.8 = 12 ( divide both sides by 12 )
b = 2.9
Thus exponential function is
y = 12
Answer:
The upper limit of a 95% confidence interval for the population mean would equal 83.805.
Step-by-step explanation:
The standard deviation is the square root of the variance. Since the variance is 25, the sample's standard deviation is 5.
We have the sample standard deviation, not the population, so we use the t-distribution to solve this question.
T interval:
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 15 - 1 = 14
Now, we have to find a value of T, which is found looking at the t table, with 14 degrees of freedom(y-axis) and a confidence level of 0.95(). So we have T = 1.761
The margin of error is:
M = T*s = 1.761*5 = 8.805.
The upper end of the interval is the sample mean added to M. So it is 75 + 8.805 = 83.805.
The upper limit of a 95% confidence interval for the population mean would equal 83.805.