Answer:
a)
b)
Step-by-step explanation:
Previous concepts
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 Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Let X the random variable that represent interest on this case, and for this case we know the distribution for X is given by:
And let represent the sample mean, the distribution for the sample mean is given by:
(a) What are the mean and standard deviation of the sampling distribution?
On this case
(b) What is the approximate probability that x will be within 0.4 of the population mean μ? (Round your answer to four decimal places.) P =
So for this case we want this probability:
And for this case we can use the z score given by this formula:
And using this concept we got this:
The parabola y=x^2 is reflected across the x axis and then scaled vertically by a factor of 1/8 is y = x².
<h3>What is Equation of parabola?</h3>
The general equation of a parabola is: y = a(x-h²2 + k or x = a(y-k)² +h, where (h,k) denotes the vertex.
The standard equation of a regular parabola is y² = 4ax.
The given equation is of parabola : y= x²
Now, we have to reflect across the x- axis and then scaled vertically by a factor 1/8.
When we reflect this parabola in the x-axis and then scaled vertically by a factor of 1/8.
Then, the new equation of parabola be:
y = x²
Hence, The parabola y=x² is reflected across the x axis and then scaled vertically by a factor of 1/8 is y = x².
Learn more about Equation of parabola here:
brainly.com/question/4074088
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Answer:
vertically opposite angles
Step-by-step explanation:
Answer:
I hope this help :)
Step-by-step explanation:
radius: 2.459
diameter: 38
circumference: 119.381
but if you're looking for a more appropriate answer I would round radius and circumference.
1 is 4/5
2 is 12
3 is 1 1/2
4 is 6
6 is 6 (fraction calculator may be wrong)