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vagabundo [1.1K]
3 years ago
5

If a man is removed from the data set, the correlation decreases only slightly from 0.83 to 0.81. Why do you think the change in

the correlation is so small?
Mathematics
1 answer:
Gnesinka [82]3 years ago
3 0

Answer:

So we always look for R^{2} to find a correlation. 0.81 is known as, Large Positive Linear Association. There are many variables, in this case, this "man" is part of other variables. So by removing HIM, the correlation goes from 8 to 9. It is still significant. However, it can be because of many reasons. Perhaps he has diabetes or cancer and was removed. *Hypothetically

Step-by-step explanation:

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a cooler contains 50 bottles; 30 bottles of water, which 8 are lemon flavored and 20 bottles of tea, of which 5 are lemon flavor
xenn [34]

Answer:

The required probability is \dfrac{13}{50}

Step-by-step explanation:

Total number of bottles = 50

Total number of water bottles = 30

Total number of lemon flavored water bottles = 8

Total number of tea bottles = 20

Total number of lemon flavored tea bottles = 5

<em>Probability of selecting a lemon flavored water bottle = Probability of selecting a water bottle </em>\times<em> Probability of selecting a lemon bottle out of water bottles.</em>

<em></em>

<em>Probability of selecting a lemon flavored tea bottle = Probability of selecting a tea bottle </em>\times<em> Probability of selecting a lemon bottle out of tea bottles.</em>

Formula for probability of an event E can be observed as:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

Probability of selecting a water bottle:

\dfrac{30}{50} = \dfrac{3}{5}

Probability of selecting a lemon flavored bottle from water bottle:

\dfrac{8}{30}

<em>Probability of selecting a lemon flavored water bottle = P(A)</em>

<em></em>\dfrac{3}{5} \times \dfrac{8}{30} = \dfrac{4}{25}<em></em>

<em></em>

Probability of selecting a tea bottle:

\dfrac{20}{50} = \dfrac{2}{5}

Probability of selecting a lemon flavored bottle from tea bottle:

\dfrac{5}{20} = \dfrac{1}{4}

<em>Probability of selecting a lemon flavored tea bottle = P(B)</em>

<em></em>\dfrac{2}{5} \times \dfrac{1}{4} = \dfrac{1}{10}<em></em>

<em></em>

<em>The required probability is:</em>

<em>P(A) + P(B):</em>

<em></em>\dfrac{4}{25} + \dfrac{1}{10}\\\Rightarrow \dfrac{8+5}{50}\\\Rightarrow \dfrac{13}{50}<em></em>

8 0
3 years ago
A rectangle or exercise mat has a perimeter of 48 feet the length of the mat Is twice The lift right and solve any questions to
Misha Larkins [42]

Answer:

The equation to determine the length is 4w+2w=48.

The Length of the exercise mat is 16 feet.

Step-by-step explanation:

Given:

Perimeter of Rectangular mat = 48\ ft

Let the length of the mat be denoted by 'l'

And width be denoted by 'w'.

Also Given:

The length of the mat is twice the width of the mat.

So we can say that;

l=2w  ⇒ equation 1

Now we know that;

Perimeter of Rectangle is equal to twice the sum of length and width.

framing in equation form we get;

2(l+w)=48 ⇒ equation 2

Now Substituting equation 1 in equation 2 we get;

2(2w+w)=48

Applying Distributive property we get;

2\times2w+2\times w=48\\\\4w+2w=48

Hence, The equation to determine the length is 4w+2w=48.

On Solving the above equation we get;

4w+2w=48\\\\6w=48

Dividing both side by 6 we get;

\frac{6w}{6}=\frac{48}{6}\\\\w=8\ ft

Now Substituting the value of 'w' in equation 1 we get;

l=2w=2\times8=16\ ft

Hence The Length of the exercise mat is 16 feet.

3 0
3 years ago
The first four terms of a sequence are shown below. 6, 2, -2, -6 Which of the following functions best defines this sequence?
klasskru [66]
Where are the functions?
your question is incomplete?
3 0
3 years ago
HELPPP DOES ANYONE KNOW THE ANSWER???
IRISSAK [1]

Answer:

B

Step-by-step explanation:

solve equation.

5 0
2 years ago
What transformation is represented by the rule <br> (x,  y)→(−y,  x)
Neko [114]
X and y are switched and y times -1 so

reflection across the x=y line (identiy line)
and since the x place it times -1, that is a reflection across y axis

so reflection across x=y line and y axis
6 0
3 years ago
Read 2 more answers
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