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NemiM [27]
3 years ago
9

A random sample of 300 balls hit into play in college baseball games is taken. For each ball hit into play, it is recorded wheth

er the ball was hit to the left, center, or right of the field, and whether the ball resulted in a hit or an out. Which of the following is the appropriate null hypothesis to test if there is a relationship between the direction of the ball and if it resulted in a hit or an out?
Mathematics
1 answer:
AlekseyPX3 years ago
5 0

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.

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Need the steps and answer!
vaieri [72.5K]

Answer:

(4,0)

Step-by-step explanation:

add the 2 equations together

6x = 24

x=4

put x into the first equation

16+3y=16

y=0

6 0
3 years ago
3
DochEvi [55]

Answer:

12pi cm

Step-by-step explanation:

The Perimeter of the full shape is the sum of the lengths of the edges of the parts.  For convenience in referencing them, we'll call the large curve "curve_{big}" and the three smaller curves "curve_1" "curve_2" "curve_3" in order from left to right.

Thus, the Perimeter of the full shape can be written as an equation:

P_{overall} = Length(curve_{big})+Length(curve_1)+Length(curve_2)+Length(curve_3)Since all of those edge lengths are curves, and the question states that all of the curves are made from parts of circles, then we need to know how to find the length of the edge of a circle.

<u>Parts of a circle</u>

Since values in the diagram are diameters, use the formula for the Perimeter of a circle P=\pi d (where d is the diameter).

Let's call the diameters of each of our curves "d_{big}"  "d_1"  "d_2"  "d_3", with the subscripts denoting which curve we're referring to.

Note that for each curve, the curve only represents half of a circle.  So, to find the length of each curve, we'll need half of the full perimeter of each circle.

So for instance: Length(curve_{big})=\frac{1}{2} \pi d_{big}

Substituting back into the main equation above:

P_{overall} = Length(curve_{big})+Length(curve_1)+Length(curve_2)+Length(curve_3)P_{overall}=\frac{1}{2} \pi d_{big} + \frac{1}{2} \pi d_{1} + \frac{1}{2} \pi d_{2} + \frac{1}{2} \pi d_{3}

Note that all terms have common factors of "one-half" and "pi" in them.  These can be factored out:

P_{overall}=\frac{1}{2} \pi (d_{big} + d_{1} + d_{2} +d_{3})

The diameter for the large Curve, is the sum of the three small diameters, so d_{big}=12cm, and d_{1}=d_{2}=d_{3}=4cm

Substituting and simplifying (in terms of pi):

P_{overall}=\frac{1}{2} \pi (  (12cm) +  (4cm) +  (4cm) + (4cm) )\\P_{overall}=\frac{1}{2} \pi ( 24cm)\\P_{overall}=12 \pi cm

<u>Additional Understanding</u>

Interesting for this problem, since the diameters of the 3 small curves formed the diameter of the large curve d_{1} + d_{2} + d_{3} =d_{big}, one could make a different substitution into one of our formulas above:

P_{overall}=\frac{1}{2} \pi (d_{big} + d_{1} + d_{2} +d_{3})

P_{overall}=\frac{1}{2} \pi (d_{big} + (d_{big}))

P_{overall}=\frac{1}{2} \pi (2d_{big})

P_{overall}=\pi d_{big}

Notice that \pi d_{big} is just the full perimeter of a circle with the big diameter.  

So, if one imagined starting with a full circle with the big diameter, even though the bottom half of the circle was turned into a bunch of smaller half circles, since they were in a line along the diameter of the large circle, the full perimeter of the new shape didn't change.

The number of smaller circles doesn't need to be 3 either... as long as it goes the full distance across, right along the diameter.

7 0
2 years ago
With a detailed explanation from the internet<br> 1/(x-5)+3/(x+2)=4
irga5000 [103]

Answer:

\boxed{ \sf x=\dfrac{4\pm\sqrt{43}}{2}}

Explanation:

\rightarrow \sf \dfrac{1}{x-5}+\dfrac{3}{x+2}=4

<u>make the denominators same</u>

\rightarrow \sf \dfrac{1(x+2)}{(x-5)(x+2)}+\dfrac{3(x-5)}{(x+2)(x-5)}=4

<u>join the fractions together</u>

\rightarrow \sf \dfrac{x+2+3x-15}{(x-5)(x+2)}=4

<u>cross multiply</u>

\rightarrow \sf x+2+3x-15=4(x-5)(x+2)

<u>simplify</u>

\rightarrow \sf 4x-13=4x^2-12x-40

<u>group the variables</u>

\rightarrow \sf 4x^2-16x-27 = 0

<u>use quadratic formula</u>

\rightarrow \sf x = \dfrac{-\left(-16\right)\pm \sqrt{\left(-16\right)^2-4\cdot \:4\left(-27\right)}}{2\cdot \:4}

<u>simplify the following</u>

\rightarrow \sf x=\dfrac{4\pm\sqrt{43}}{2}

7 0
2 years ago
Read 2 more answers
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garik1379 [7]

Answer:

all of them

Step-by-step explanation:

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8 0
3 years ago
Read 2 more answers
What is the image of (6,-6) after a dilation by a scale factor of 4 centered at the origin
skelet666 [1.2K]

9514 1404 393

Answer:

  (24, -24)

Step-by-step explanation:

Dilation centered at the origin multiplies each coordinate by the dilation factor.

  image = 4 × (6, -6)

  image = (24, -24)

6 0
3 years ago
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