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Blababa [14]
3 years ago
11

There is a positive correlation between drinking coconut milk and eating potato chips. What does this correlation mean? What are

three possible underlying relationships between the variables?
Mathematics
1 answer:
faltersainse [42]3 years ago
3 0

Answer with explanation:

It is given that, there is positive correlation between drinking coconut milk and eating potato chips.

→Correlation coefficient is denoted by r.

→The value of r lies between , -1 and 1 which is represented as , -1 ≤r≤1.

→Correlation that is relation between two variables is said to be strongly positive, if r is equal to 1, and it is said to be strongly weak, if it is equal to -1 , and said to have no association if r=0.

→ The meaning of positive correlation is that value of r, is greater than >0.8 but less than 1.

The two variables which are positively correlated ,can have following relationship.

1. With increase in one other increases.

2.With decrease in one other decreases.

3. Slope will be a linear that is a straight line not passing through origin.

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Nat2105 [25]
By inspection, it's clear that the sequence must converge to \dfrac32 because

\dfrac{3n+1}{2n-1}=\dfrac{3+\frac1n}{2-\frac1n}\approx\dfrac32

when n is arbitrarily large.

Now, for the limit as n\to\infty to be equal to \dfrac32 is to say that for any \varepsilon>0, there exists some N such that whenever n>N, it follows that

\left|\dfrac{3n+1}{2n-1}-\dfrac32\right|

From this inequality, we get

\left|\dfrac{3n+1}{2n-1}-\dfrac32\right|=\left|\dfrac{(6n+2)-(6n-3)}{2(2n-1)}\right|=\dfrac52\dfrac1{|2n-1|}
\implies|2n-1|>\dfrac5{2\varepsilon}
\implies2n-1\dfrac5{2\varepsilon}
\implies n\dfrac12+\dfrac5{4\varepsilon}

As we're considering n\to\infty, we can omit the first inequality.

We can then see that choosing N=\left\lceil\dfrac12+\dfrac5{4\varepsilon}\right\rceil will guarantee the condition for the limit to exist. We take the ceiling (least integer larger than the given bound) just so that N\in\mathbb N.
6 0
3 years ago
Find it ASAP What is the whole 85% of 17
Paraphin [41]
If you're just trying to find 85% of 17, you would do 17 * .85 which gives us 14.45
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Ben inherited $10,000 and put it all in a stock index fund which promises 7.2% interest compounded quarterly. How much interest
DanielleElmas [232]

Answer:

I live in south Africa so my answer is 280.14

Step-by-step explanation:

7.5 over 100 times by 648.50 (thats how much $10.000 is in south Africa)

=46.69 times by 6

=280.14

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Allison lives 380 miles from her grandmother. She plans to drive to her grandmother's house for the weekend. She will drive an a
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Answer:

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Step-by-step explanation:

5 0
3 years ago
If BC= 48 cm and sin
erastovalidia [21]

Using relations in a right triangle, it is found that the length of AC is of 14 cm.

<h3>What are the relations in a right triangle?</h3>

The relations in a right triangle are given as follows:

  • The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
  • The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
  • The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

Researching this problem on the internet, we have that:

  • The opposite leg to angle A is of 48 cm.
  • sin(A) = 0.96.

Hence the hypotenuse is found as follows:

sin(A) = 48/h

0.96 = 48/h

h = 48/0.96

h = 50 cm.

The length of side AC is the other leg of the triangle, found using the Pythagorean Theorem, hence:

x^2 + 48^2 = 50^2

x^2 = \sqrt{50^2 - 48^2}

x = 14 cm.

More can be learned about relations in a right triangle at brainly.com/question/26396675

#SPJ1

6 0
2 years ago
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