Identify each pair of angles as corresponding, alternate interior, alternate exterior, or consecutive interior.
2 answers:
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Answer:
And we can find this probability with this difference and using the normal standard table or excel:
And the result is illustrated in the figure attached.
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".
Solution to the problem
Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with this difference and using the normal standard table or excel:
And the result is illustrated in the figure attached.
Statements that describe the given function are:
- (A) f(x) has one real zero because it crosses the x-axis once.
- (D) f(x) has a real zero at 2.5.
- (G) f(x) has an x-intercept at (2.5, 0).
- A function from a set X to a set Y allocates exactly one element of Y to each element of X.
- The set X is known as the function's domain, while the set Y is known as the function's codomain.
To find the statements that describe the given function:
- The following function can be reorganized:
- There is one real zero (numerator) in the function (x-intercept), which is x = 2.5.
- Besides, x = 1 and x = -1 are poles (denominator), that is, x-values so that function is undefined.
Lastly, the correct answers are:
- (A) f(x) has one real zero because it crosses the x-axis once.
- (D) f(x) has a real zero at 2.5.
- (G) f(x) has an x-intercept at (2.5, 0).
Therefore, statements that describe the given function are:
- (A) f(x) has one real zero because it crosses the x-axis once.
- (D) f(x) has a real zero at 2.5.
- (G) f(x) has an x-intercept at (2.5, 0).
Know more about functions here:
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The complete question is given below:
Which statements describe the function f(x)=2x-5/2(x^2-1)? Check all that apply.
(A) f(x) has one real zero because it crosses the x-axis once.
(B) f(x) has two real zeros because it crosses the x-axis twice.
(C) f(x) has real zeros at 1 and –1.
(D) f(x) has a real zero at 2.5.
(E) f(x) has x-intercepts at (1, 0) and (–1, 0).
(F) f(x) crosses the x-axis when x = 1 and x = –1.
(G) f(x) has an x-intercept at (2.5, 0).