PLEASE HELP!! WILL MARK BRAINLIEST AND THANK YOU!!! X= ___________
1 answer:
Answer:
Step-by-step explanation:
When parallel lines are cut by a transversal several angles are formed.
A pair of non-adjacent angles located outside the parallel lines and on opposite sides of the transversal are called "Alternate Exterior angles".
By definition, they are congruent, which means that they have equal measure.
In this case, you can identify that and
are Altermate Exterior angles.
Then, you can write the following equation:
Finally, you must solve for "x" in order to find its value. This is:
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Answer:
It can be concluded that participation in sports is dependent on grade level.
Step-by-step explanation:
In this case a Chi-square independence test for the data is to be performed at <em>α </em>= 0.01.
The hypothesis can be defined as follows:
H₀: The participation in sports is independent of grade level.
<em>Hₐ</em>: The participation in sports is dependent of grade level.
The data provided is:
Freshmen Sophomores Juniors Seniors
Yes 75 88 55 42
No 30 28 38 40
The formula to compute the expected frequencies is:
The Chi-square statistic is:
Consider the Excel file attached below.
The value of Chi-square statistic is 16.244.
The degrees of freedom of the test are:
Compute the <em>p</em>-value of the test as follows:
*Use a Chi-square table.
<em>p</em>-value = 0.001 < <em>α</em> = 0.01
The null hypothesis will be rejected at 1% level of significance.
Thus, it can be concluded that participation in sports is dependent on grade level.
You just average the x and y. So for x it is (3+-5)/2 = -1 and for y it is (8+-1)/2=3.5.
The midpoint is (-1,3.5). See picture for a graphical explanation.
The midpoint is (-1,3.5). See picture for a graphical explanation.