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3 years ago

Which of the following r-values represents the strongest correlation?

Mathematics

2 answers:

borishaifa [10]3 years ago

7 0

The correct answer is B

earnstyle [38]3 years ago

5 0

Answer:

Step-by-step explanation:

Solution:-

- Correlation defines the relationship between two variables.

- The correlation coefficient (r) defines the strength/intensity as to how strong or weak the correlation is between the variables under consideration. The sign either ( + or - ) defines the nature of relationship between variables.

+ : positive relationship. ( if one increases the other variable also increases )

- : Negative relationship. ( if one increases the other variable decreases )

- The range of the correlation coefficient (r) is:

-1 < r < 1

Where, 1 : Strongest positive relationship

-1 : Strongest negative relationship

0 : No relationship.

- So the strongest relationship in positive domain only is given by the largest value of (r). In this case it is r = 0.92.

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Need help for number 4 please

Marina CMI [18]

Answer:

Step-by-step explanation:

4) ΔSTW ≅ ΔBFN . So, corresponding parts of congruent triangles are congruent.

a) BN = SW d) m∠W = m∠N

BN = 9 cm m∠W = 82°

b) TW = FN e) m∠B = m∠S

TW = 14 cm m∠B = 67°

c) BF = ST f) m∠B + m∠N + m∠F = 180°

BF = 17 cm 67 + 82 + m∠F = 180

149 + m∠F = 180

m∠F = 180 - 149

m∠F = 31°

5) ΔUVW ≅ ΔTSR

UV = TS

12x - 7 = 53

12x = 53+7

12x = 60

x = 60/12

x = 5

UW =TR

3z +14 = 50

3z = 50 - 14

3z = 36

z = 36/3

z = 12

SR =VW

5y - 33 = 57

5y = 57 + 33

5y = 90

y = 90/5

y = 18

7) ΔPHS ≅ ΔCNF

∠C = ∠P

4z - 32 = 36

4z = 36 + 32

4z = 68

z = 68/4

z = 17

∠H = ∠N

6x - 29 = 115

6x = 115 + 29

6x = 144

x = 144/6

x = 24

∠P + ∠H + ∠S = 180 {Angle sum property of triangle}

36 +115 + ∠S = 180

151 + ∠S = 180

∠S = 180 - 151

∠S = 29°

∠F = ∠S

3y - 1 = 29

3y = 29 + 1

3y = 30

y = 30/3

y = 10

8) ΔDEF ≅ ΔJKL

DE = 18 ; EF = 23

DF = 9x - 23

JL= 7x- 11

DF = JL {Corresponding parts of congruent triangles}

9x - 23 = 7x - 11

9x - 7x - 23 = -11

2x - 23 = -11

2x = -11 + 23

2x = 12

x = 12/2

x = 6

JK = DE {Corresponding parts of congruent triangles}

3y - 21 = 18

3y = 18 + 21

3y = 39

y = 39/3

y = 13

4 0

3 years ago

Solve the system using elimination.

NeX [460]

Answer:

This equation has no solution

Step-by-step explanation:

if the same equation equals 2 different numbers then therefore there is no solution.

6 0

1 year ago

In ΔABC, the lengths of a, b, and c are 22.5 centimeters, 18 centimeters, and 13.6 centimeters, respectively.

Irina-Kira [14]

Given the values of the three sides of the triangle, we can apply the Cosine Law to find the angles of the triangle. Recall that for we can express the value of c through the equation below.

$c^{2} = a^{2} + b^{2} - 2abcosC$

Rearranging this equation, we can find the value ∠C as shown below.

$\cos C = \frac{a^{2}+b^{2}-c^{2}}{2ab}$
$C = cos^{-1} (\frac{a^{2}+b^{2}-c^{2}}{2ab})$

We can apply the same reasoning for finding the value of ∠B as shown.

$B = cos^{-1} (\frac{a^{2}+c^{2}-b^{2}}{2ac})$

Plugging in the values of the sides (see image attached) from the given. It will now be straightforward to compute for ∠B and ∠C.

$C = cos^{-1} (\frac{22.5^{2}+18^{2}-13.6^{2}}{2(22.5)(18)})$
$C \approx 37.19$

$B = cos^{-1} (\frac{22.5^{2}+13.6^{2}-18^{2}}{2(22.5)(13.6)})$
$B \approx 53.13$

Answer: ∠C = 37.19° and ∠B = 53.13°

7 0

3 years ago

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The price of a CD on sale is 0.65c, where c is the original price of the CD. What does that mean?

Nuetrik [128]

Hey there!

If the price of a CD on sale is 0.65c, then 0.35 was taken off of the original price. You can find this if you subtract 0.65 from 1, or 65% from 100%.

Your answer would not be your second option or your fourth option, since the price you're paying is 0.65 of the original price and you are getting 0.35 of the price off. Also, your third option wouldn't be correct either, since 0.35 isn't being added on top of the total price.

Your answer is your first option.

Hope this helped you out! :-)

6 0

3 years ago

What is 2 7/4 in simplest form

Leona [35]

2 7/4=3.75

THE ANSWER IS 3.75

4 0

3 years ago

Read 2 more answers