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Sedaia [141]
2 years ago
9

In 1995, Derek Jeter's batting average was 0.250; in 1996, his batting average was 0.314. David Justice's batting average in 199

5 was 0.253 and was
0.321 in 1996. The team statistician claims Jeter's overall average was better than Justice's average. What may make this claim possible?

Sampling error

Cause-and-effect relationship

Convenience error

Simpson's Paradox

Confounding
Mathematics
1 answer:
belka [17]2 years ago
7 0

Answer:

The correct option is;

Simpson Paradox

Step-by-step explanation:

The phenomenon whereby particular trends are prevalent in small data portions but are not evident or an inverse trend is observe when the portions are joined together is known as Simpson's paradox.

Whereby the data for calculating the bating averages as found online are given as follows;

Season,                       Derek Jeter                           David Justice

1995,                           12/48 = 0.250                         104/411 ≈ 0.253

1996,                           183/582 ≈ 0.314                      45/140 ≈ 0.321

The overall hits to the overall bats ratio are;

,         (183 + 12)/(582 + 48) ≈0.310   (104+45)/(411+140) = 0.27

Which shows that  Derek Jeter's overall average was better than Justice's average  

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dybincka [34]
First, you want to put all the numbers in order from least to greatest.

21, 33, 33, 42, 67, 79, 89

Now, you can use this song to help remember how to do these problems.

Cross off the sides till you get to the center. 1 is good, 2 is bad. (If you get two numbers in the middle) add then divide by two.

Cross off 21, then 89, then 33, then 79, then 33, then 67. Now, you're left with 42 in the middle. That is your median. Hope this helps! :)
8 0
2 years ago
If a cone with a diameter of 10 meters has a surface area of 290.6 square meters, find its slant height.
Finger [1]
<h2>Hello!</h2>

The answer is:

The slant height is 13.43 m.

l=13.43m

<h2>Why?</h2>

To solve the problem, we need to use the following equations to calculate the total surface area and the lateral surface area of right cone:

TotalSurfaceArea=LateralSurfaceArea+BaseArea

LateralSurfaceArea=\pi *r*l

Where,

r, is the radius of the cone.

l, is the slant height of the cone.

We are given the following information:

TotalSurfaceArea=290.6m^{2} \\Diameter=10m\\Radius=\frac{1}{2}d=\frac{1}{2}10m=5m

So, calculating the area of the base(circle) in order to find the lateral surface area, we have:

BaseArea=\pi *r^{2} \\\\BaseArea=\pi *5m^{2} =\pi *25m^{2}=79.54m^{2}

Then, substituting the area of the base into the total surface area to calculate the surface area of the cone, we have:

LateralSurfaceArea=TotalSurfaceArea-BaseArea

LateralSurfaceArea=290.6m^{2}-79.54m^{2}

LateralSurfaceArea=211.06m^{2}

Now, calculating the slant height, we have:

LateralSurfaceArea=\pi *r*l

l=\frac{LateralSurfaceArea}{\pi*r }

Substituting, we have:

l=\frac{211.06m^{2}}{\pi*5 }=\frac{211.06}{15.71m }

l=\frac{211.06}{15.71m }=13.43m

Hence, we have that the slant height is 13.43 m.

l=13.43m

Have a nice day!

6 0
2 years ago
Let g(x)= -2(3x+4)(x−1)(x−3)^2 be a polynomial function. Name all horizontal and vertical intercepts of the graph. State the end
lesantik [10]

Answer:

The vertical intercepts is

(4/3,0) (3,0) (1,0)

The horinzontial intercepts is

(0,72)

The end behavior is

<em>as x approaches positive infinity, f(x) approaches negative infinity. As x approaches negative infinity, f(x) approaches negative infinity.</em>

Step-by-step explanation:

The vertical or y intercepts will be zeroes of the following factors.

3x + 4 = 0

x - 1 = 0

(x - 3) {}^{2}  = 0

We solve for x each time.

x =  -  \frac{4}{3}

x = 1

x = 3

Part B). We need to find the intercepts by setting the equation equal to zero.

The constant expanded will equal 72.

If x=0,

{0}^{y}  = 0

where y is any real number.

So this means all the exponets will equal 0. The constant will just add to the term. so our horinzontal intercept is

0 + 72 = 72

Part C) End Behavior

The leading degree is even. Even Degree Polynomials like Quadratics tend to go approach positive infinity vertically as x approaches positive infinity, and as x approaches negative infinity, it approaches positive infinity vertically.

Our leading coefficient is negative so this means our quadratic will get reflected across the x axis.

Now this means, as x approaches positive infinity, f(x) approaches negative infinity. As x approaches negative infinity, f(x) approaches negative infinity.

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It should be C. Equilateral triangles
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grigory [225]

Answer:

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Given:

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Probability (N more than 2) = [1-P(N=0)-P(N=1)-P(N=2)]

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