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3 years ago

What is the equation for the line of curve of best fit for the following data?

Mathematics

1 answer:

Vlad [161]3 years ago

6 0

Correct answer:
Option B. y = 50.5x - 240

If we plot these points on a graph, we will observe that these points mostly lie in a straight line. Therefore, a straight line will be the best fit for the given ordered pairs. The equation of the best fit can be found using any tool like Statistica, Stata or Excel. I have used Microsoft Excel to plot the lines and find the equation of best fit. The graph and equation are shown below in the image attached with:

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If m1=37°, what is m4?

yawa3891 [41]

It's evident that the two angles in question are complementary, which equal up to 90 degrees. So what answer choice, added to m1 (37 degrees), equals 90 degrees? By using inverse operations, we can conclude that the answer is A because 90 - 37 = 53.

7 0

4 years ago

Which of these choices show a pair of equivalent expressions? A.7^5/7 and (√ 7)^5 B.6^7/2 and (√ 6)^7 C.(4√ 81)^7 and 81^7/4 D.5

OverLord2011 [107]

We will use the following law of indices (or 'index law') to check each pair of expression

$x^{ \frac{m}{n}} = ( \sqrt[n]{x} )^{m}$

With fractional power, the denominator is the root and the numerator is the power of the term. When the denominator is 2, we usually only write the normal square symbol (√). Denominator other than 2, we usually write the value of the root, for example, the cubic root ∛

Option A - Incorrect
$7^{ \frac{5}{7}}$ should equal to $( \sqrt[7]{7} )^{5}$

Option B - Correct
$6^{ \frac{7}{2} }$ does equal to $( \sqrt{6}) ^{7}$

Option C - Incorrect
$4( \sqrt{81} )^{7}$ should equal to $(4)( 81^{ \frac{7}{2} } )$

Option D - Incorrect
$5^{ \frac{2}{3} }$ should equal to $( \sqrt[3]{5} )^{2}$

7 0

3 years ago

Read 2 more answers

The table below shows the proportional relationship between the weight of dog food, in ounces, and the number of bags of dog foo

luda_lava [24]

K = y/x
k = 30/2
k = 15 <=== constant of proportionality

6 0

3 years ago

If sin x = 12÷13 where 0° <x<90°<br>find the value of 1-cos ×cos( x)

s2008m [1.1K]

Answer:

This is how tackle this type of problem:

Draw a right triangle with the indicated sides: side opposite the angle = 12 and hypotenuse = 13

Then, calculate the 3rd side by Pythagoras: x2 + 122 = 132

x2 = 169 - 144

x2 = 25

x = 5

Now, we have all 3 sides of our diagram triangle, so we can find all the trig ratios for the angle.

Next, we use the double angle formula to simplify cos(x + 30) = cos x cos 30 - sin x sin 30

= 5/13 . √3/2 - 12/13 . 1/2

= 5√3 /26 - 6/13

= (5√3 - 12) / 26

Step-by-step explanation:

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4 0

3 years ago

What is the midpoint of the line segment with endpoints (–5.5, –6.1) and (–0.5, 9.1)?

astraxan [27]

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points }
\\\\
(\stackrel{x_1}{-5.5}~,~\stackrel{y_1}{-6.1})\qquad 
(\stackrel{x_2}{-0.5}~,~\stackrel{y_2}{9.1})
\qquad
% coordinates of midpoint 
\left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right)
\\\\\\
\left( \cfrac{-0.5-5.5}{2}~~,~~\cfrac{9.1-6.1}{2} \right)\implies \left( \cfrac{-6}{2}~~,~~\cfrac{3}{2} \right)\implies \left(-3~,~1\frac{1}{2} \right)$

5 0

3 years ago