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Answer: 5.5 which is choice B</h3>
Have a look at the diagram I posted below. I marked on your image to add in another angle. This angle is also 20 degrees because of congruent alternate interior angles (horizontal lines are parallel). This angle I add in is the reference angle of the triangle
opposite the reference angle is the vertical side x
adjacent to the reference angle is the horizontal side 15
We'll use the tangent rule. Make sure your calculator is in degree mode.
tan(angle) = opposite/adjacent
tan(20) = x/15
15*tan(20) = x <<-- multiply both sides by 15
x = 15*tan(20)
x = 5.45955 <<--- use calculator; this is approximate
x = 5.5 <<--- round to one decimal place
Answer:
Null hypothesis: There is no relationship between direction of the ball and if it resulted in a hit or an out.
Step-by-step explanation:
In this case, the experiment conducted is to determine whether there is any relationship between the direction of the ball and if it resulted in a hit or an out.
A random sample of 300 balls hit into play in college baseball games is taken. For each ball hit into play, it is recorded whether the ball was hit to the left, center, or right of the field, and whether the ball resulted in a hit or an out.
The regression analysis would be used to determine whether there is any relationship between direction of the ball and if it resulted in a hit or an out.
The hypothesis for the regression analysis is defined as follows:
<em>H</em>₀: There is no relationship between direction of the ball and if it resulted in a hit or an out.
<em>H</em>ₐ: There is a significant relationship between direction of the ball and if it resulted in a hit or an out.
$0.89:1 or the other way around depending on how the actual ratio looks.
Hope it helps
90 divided by 2 will give you the answer for x