Use the line of best fit to estimate the French score for a student who got 65 in maths.

Answers

Answer 1

Using a linear function, it is found that the estimated French score is of 38.1875.

A linear function has the following format:

[tex]y = mx + b[/tex]

In which:

m is the slope.b is the y-intercept.

Searching the problem on the internet, it is found that two points of the line of best-fit are: (10,65) and (90,26).

The slope is given by change in the output divided by the change in the input, hence:

[tex]m = \frac{26 - 65}{90 - 10} = -0.4875[/tex]

Then:

[tex]y = -0.4875x + b[/tex]

Point (10,65) means that when [tex]x = 10, y = 65[/tex], and this is used to find b.

[tex]y = -0.4875x + b[/tex]

[tex]65 = -0.4875(10) + b[/tex]

[tex]b = 69.875[/tex]

Hence:

[tex]y = -0.4875x + 69.875[/tex]

For a student who got 65 in math, x = 65, and hence:

[tex]y = -0.4875(65) + 69.875 = 38.1875[/tex]

The estimated French score is of 38.1875.

For more on linear functions, you can check https://brainly.com/question/16302622


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  A.  y ≥ -3x +4

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The boundary line crosses the y-axis at +4, so the y-intercept of it is +4. This eliminates choices C and D.

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David, a sales clerk in an appliance store, earns a base salary of $1200 per month plus a commission of 8 percent on monthly sales over $600. If David received $1900 for the month of April, how much were his monthly sales?​

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Answer:

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Step-by-step explanation:

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Answer:

no

Step-by-step explanation:

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The following is a linear inequality: y<6x-4
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Answers

Answer:

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Solve. 213−12x=−23 Enter your answer in the box.

Answers

[tex]213 -12x = -23\\\\\implies 12x = 213 +23 = 236\\\\\implies x = \dfrac{236}{12}= \dfrac{59}3 = 19.67[/tex]

The value of x from the given equation is [tex]19\frac{2}{3}[/tex].

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

The given equation is 213-12x=-23.

Now, 213+23=12x

⇒ 12x=236

⇒ x=236/12

⇒ x=59/3

⇒ x=[tex]19\frac{2}{3}[/tex]

Therefore, the value of x is [tex]19\frac{2}{3}[/tex].

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#SPJ2

Given SV//TU and SVX=UTX
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Write a paragraph proof.

Thank you! :)

Answers

Answer:

ΔSVX ≅ ΔUTX                      Given

SV // TU                                 Given

SV ≅ TU                                Corresponding part of congruent triangle

VUTS parallelogram               Definition of parallelogram.

Hint: 1) If any one pair of opposite side is congruent and parallel, then the quadrilateral is parallelogram.

2) If two pair of opposite sides are parallel then it is a parallelogram.

Step-by-step explanation:

the smiths want to fence their square garden, which has an area 256 square meters.

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B) 3
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D) 3/10

Answers

it's C 0.03

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the answer is c)0.03

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Answers

Step-by-step explanation:

x = number of hours A

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

the answer is 8:5

Step-by-step explanation:

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Answers

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Answers

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Answers

From the computation done, the linear equation that represents the information given will be A. y = -2x + 30.

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Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

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the selling price for a pair of jeans is 39.98. There is a 4.5% sales tax on all purchases. How much would it cost to buy the jeans?

Answers

Answer:

$41.78

Step-by-step explanation:

tax is 4.5% on top of original price of 39.98

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