The function ƒ(x) = is translated 3 units in the positive y-direction and reflected across the y-axis. Select the correct equati
on for the resulting function.
Multiple choice answers in attachment image
Multiple choice answers in attachment image
2 answers:
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Answer:
1) 80% CI: [3.04; 3.26]gr
d= 0.11
2) n= 28 hummingbirds
Step-by-step explanation:
Hello!
The study variable of this experiment is:
X: the weight of a hummingbird. (gr)
And it has a normal distribution, symbolically: X~N(μ;σ²)
And (I hope I got it correctly) its population standard deviation is σ= 0.33
There was a sample of n= 15 hummingbirds taken, its sample mean X[bar]= 3.15 gr
1) You need to construct an 80% Confidence Interval for the population mean of the hummingbird's weight.
Since the study variable has a normal distribution, you can use either the standard normal distribution or the Student's t distribution. Both are useful to estimate the population mean. Since the population standard variance is known, the best choice is the Standard normal.
Z= <u> X[bar] - μ </u>~ N(0;1)
σ/√n
The formula for the interval is:
X[bar] ± * (σ/√n)
3.15 ± 1.28 * (0.33/√15)
[3.04; 3.26]gr
The margin of error (d) of a confidence interval is hal its amplitude (a)
a= Upper bond - Lower bond
d= (Upper bond - Lower bond)/2
d= = 0.11
2) You need to calculate a sample size for a 80% Confidence interval for the average weight of the hummingbirds with a margin of error of d= 0.08
As I said before, the margin of error is half the amplitude of the interval, the formula you use to estimate the population mean has the following structure:
"point estamator" ± "margin of error"
Then the margin of error is:
d= * (σ/√n)
Now what you have to do is rewrite the formula based on the sample size
d= * (σ/√n)
= σ/√n
√n * = σ
√n = σ *
n = (σ * )²
n= (0.33 * )²
n= 27.8784 ≅ 28 hummingbirds.
I hope it helps!
Answer:
C.
Step-by-step explanation:
Please find the attachment.
We have been given that secants AC and DB intersect at point E inside the circle. Given that the measure of arc , arc
, and arc
. We are asked to find the measure of angle AED.
We know that the measure of angle formed by two intersecting secants is half the sum of measure of the arcs by intercepted by the angle and its vertical angle.
Let us find measure of arc AD by subtracting measure of given arcs from 360 degrees as:
Therefore, measure of angle AED is 130 degrees and option C is the correct choice.
