All categories

3 years ago

A limnologist takes samples from a creek on several days

Mathematics

2 answers:

Vinvika [58]3 years ago

8 0

Answer:

y = 147.56 - 10.78x

Step-by-step explanation:

Given :

x = 10.2 ; y = 37.6 ; Sx = 2.8 ; Sy = 30.8 ; r = - 0.98

The regression equation :

y = mx + c

Where ;

m = slope ; c = intercept

Slope = r * (Sy/Sx)

Slope = - 0.98 * (30.8 / 2.8)

Slope = - 0.98 * 11 = - 10.78

To obtain c :

y = mx + c

y - mx = c

37.6 - (-10.78)(10.2) = c

37.6 + 109.956 = c

147.556 = c

Hence, equation becomes :

y = 147.556 - 10.78x

y = 147.56 - 10.78x

Natalija [7]3 years ago

4 0

Answer:

y = 147.56 + -10.78x

Step-by-step explanation:

You might be interested in

The lead statue of the Korean War Memorial in Washington DC casts a 43.5 inch shadow at the same time a nearby tourist casts a 3

AfilCa [17]

Answer:

The lead statue is 87 inches tall

Step-by-step explanation:

Let

x ----> the height of the lead statue

using proportion

we know that

The height of the lead statue divided by the length of his shadow must be equal to the height of the tourist divided by the length of his shadow.

$\frac{x}{43.5}=\frac{64}{32}\\\\\frac{x}{43.5}=2\\\\x=2(43.5)\\\\x=87\ in$

3 0

3 years ago

Which equation matches the statement

Ulleksa [173]

-4x+2=9 would be the answer for this equation

3 0

3 years ago

Read 2 more answers

Pleaseeeeeee help mee

BlackZzzverrR [31]

Answer:

The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

Step-by-step explanation:

Step(i):-

Given

$cos( 3x - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

$cos( 3x - \frac{\pi }{3} ) = cos (\frac{\pi }{6} )$

$3x - \frac{\pi }{3} = \frac{\pi }{6}$

$3x - \frac{\pi }{3 } + \frac{\pi }{3} = \frac{\pi }{6} + \frac{\pi }{3}$

$3x = \frac{2\pi +\pi }{6} = \frac{3\pi }{6} = \frac{\pi }{2}$

$x = \frac{\pi }{6}$

Step(ii):-

The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

verification :-

$cos( 3x - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

put $x = \frac{\pi }{6}$

$cos( 3(\frac{\pi }{6}) - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

$cos (\frac{\pi }{6} ) = \frac{\sqrt{3} }{2} \\\\\frac{\sqrt{3} }{2} = \frac{\sqrt{3} }{2}$

Both are equal

∴The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

4 0

3 years ago

What is scientific notation? Why is it useful? How is it used in the real world?

VladimirAG [237]

is used to write very large or very small numbers using less digits. Discover examples of scientific notation used in real life and acquire the comprehension of complex concepts such as polynomials and exponents.

7 0

3 years ago

Read 2 more answers

If you understand may you please help me?

Darina [25.2K]

Answer:

Step-by-step explanation:

3 0

3 years ago