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konstantin123 [22]
3 years ago
14

Suppose the line of best fit is being found for some points that have an r-value of 0.769. If the standard deviation of the x-co

ordinates is 5.508, what is the slope of the line to three decimal places?
Mathematics
1 answer:
jeyben [28]3 years ago
7 0

r value i.e Correlation between x value and y value = 0.769

A_{x}=Standard deviation of the x-coordinate = 5.508

 A_{y}=Standard deviation of the y-coordinate = ?=k

Slope of line is given by formula

If slope of line is m, then

m = r\times \frac{ A_{x}}{A _{y}}

m= 0.769 \times \frac{k}{5.508}

Substitute the value of k, i.e Standard deviation of the y-coordinate and then you can get the slope of line to three decimal places.

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Is 0.7 =0.07 reasonable? explain why if its not or it is
MrRissso [65]

Answer:

No

Step-by-step explanation:

No, because 0.7 is greater than 0.07 {Tip: Look for place of the decimal}

0.7 is written as 7/10 and 0.07 is written as 7/100

0.7 which is 7/10 is also written as 70/100 Hence, it clearly that 70/100 is greater than 7/100

0.7 is greater than 0.07 because to compare between two decimal numbers, you should look at the number after the decimal point and 7 is greater than 0 in the tenth place.

[RevyBreeze]

5 0
2 years ago
3.5 and 3 write a quadratic equation with each pair of values as roots
VLD [36.1K]

Hello from MrBillDoesMath!

Answer:  x^2 - 6.5x + 10.5 = 0

Discussion:

If the roots are 3 and 3.5, then the quadratic equation is

(x -3 ) ( x - 3.5) = 0

or

x * (x - 3.5) - 3 (x - 3.5) = 0

or

X^2 - 3.5X - 3X + 3(3.5) = 0

or

x^2 - 6.5x + 10.5 = 0



Thank you,

MrB

7 0
4 years ago
Rider ordered 2 hot dogs and 5 hush puppies. His total was $4.70. Write an equation in standard form for this relation, using x
yaroslaw [1]

Answer:

2x + 5y = 4.70

Step-by-step explanation:

Rider ordered 2 hot dogs and 5 hush puppies. His total was $4.70. Write an equation in standard form for this relation, using

From the above question, note that

x = cost of a hot dog

y = cost of a hush puppy.

Our Standard Equation is given as

2 × x + 5 × y= $4.70

2x + 5y = 4.70

3 0
3 years ago
Solve the following equation.<br><br> 2/3x + 6 = 1/2x + 1/4x<br><br> 2<br> 6<br> 14 2/5<br> 72
Vladimir79 [104]
Answer: 72
heyy, umm basically group like terms together. E.g. 6= 1/2x + 1/4x - 2/3x. Then, just solve for x e.g. 1/2 + 1/4 - 2/3 and use the answer to equal it to 6. Which should be 1/12x=6... pretty sure haha. Then divide. E.g.6/1/12 for x. In this case I got 72.. :)
5 0
3 years ago
Which statement best completes the sentence below? If the measure of /_4 is 70^o, then the measure of /_8 is _________________.
Alex_Xolod [135]

Answer:

As given, measure of angle 4 is 70°

Then what would be the measure of ∠8.

Following cases comes into consideration  

1. If ∠4 and ∠8 are supplementary angles i.e lie on same side of Transversal, then

 ∠4 + ∠8=180°

⇒70°+∠8=180°  [∠4=70°]

⇒∠8=180°-70°

⇒∠8=110°

<u>2nd possibility</u>

But if these two angles i.e ∠4 and ∠8 forms a linear pair.Then

⇒ ∠4 + ∠8=180°

⇒70°+∠8=180°  [∠4=70°]

⇒∠8=180°-70°

⇒∠8=110°

<u>3rd possibility</u>

If ∠4 and ∠8 are alternate exterior angles.

then, ∠4 = ∠8=70°

<u>4th possibility</u>

If If ∠4 and ∠8 are corresponding angles.

then, ∠4 = ∠8=70°

Out of four options given Option A[ 110° because ∠4 and ∠8 are supplementary angles], Option B[70° because ∠4 and ∠8 are alternate exterior angles.] and Option D[70° because ∠4 and ∠8 are corresponding angles.] are Correct.







8 0
3 years ago
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