we can use MS excel to plot the given data and check whether the graph's trendline has an R-squared of 1. The graph does not fit into a line but fits into an exponential function. The trendline's equation is equal to y = 4e^1.3863x where R squared is equal to 1
Option B:
sin x = 1 is the equation represented by the intersection of the graph.
Solution:
The graph lies between -1 and 1 in y-axis.
x-axis of the graph is all real numbers.
The graph oscillates between -1 and 1 and a shape that repeats itself every 2π units.
That is the domain of the graph is all real numbers.
The range of the graph is [-1, 1].
It clearly shows that, it is the graph of sinx = 1.
Hence sin x = 1 is the equation represented by the intersection of the graph.
Option B is the correct answer.
Answer:
A, B, C, and D, all options are correct.
A is correct because,
∠2 and ∠3 are corresponding angles.
B is correct because,
∠5 and ∠7 are corresponding angles.
C is correct because,
∠2 and ∠4 are corresponding angles.
D is correct because,
∠5 and ∠6 are alternate interior angles.
Note,
If two lines parallel, then
- Corresponding angles are equal.
- Alternate interior angles are equal.
Answer:
The sample size needed if the margin of error of the confidence interval is to be about 0.04 is 18.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
The margin of error is:
95% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
Past studies suggest this proportion will be about 0.15
This means that 
Find the sample size needed if the margin of error of the confidence interval is to be about 0.04
This is n when M = 0.04. So
Rounding up
The sample size needed if the margin of error of the confidence interval is to be about 0.04 is 18.
