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3 years ago

What is the sst for the data set (1,5),(2,8),(4,14)?

Mathematics

2 answers:

Usimov [2.4K]3 years ago

6 0

Answer:

Step-by-step explanation:

SST = ∑ ( y − ȳ ) ² (ȳ = pronounced y bar is the mean of y values)

ȳ = (5+8+14)/3 = 27/3 = 9

∑ ( y − ȳ ) ² = ( 5 − 9 ) ² + ( 8 − 9 ) ² + ( 14 − 9 ) ²

= ( − 4 ) ² + ( - 1 ) ² + ( 5 ) ²

= 16 + 1 + 25

= 42

monitta3 years ago

4 0

Answer: 42 (apex)

Step-by-step explanation:

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Let log base aU=X and log base aV=Y, then a to the x power =? and a to y power =?

Andrews [41]

Answer:

${ \bf{ log_{a}(U) = x}} \\ { \boxed{ \tt{ {a}^{x} = U}}} \\ \\ { \bf{ log_{a}(V) = y}} \\ { \boxed{ \tt{ {a}^{y} = V }}}$

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3 years ago

Calculaye the perimeter and area of these composite shapes

lora16 [44]

For this case we have that the perimeter of the figure is given by the sum of the lengths of the sides, that is:

$14 + 18 + 3 + 4 + 3 + 4 + 3 + 4 + (14-9) + (18-12) = 64$

Thus, the perimeter of the figure is 64 centimeters.

Now, we find the area of the figure:

We have that by definition, the area of a rectangle is given by:

$A = a * b$

Where:

a and b are the sides of the rectangle

We have 4 vertical rectangles from left to right:

$A_ {1} = 14 * (18-12) = 14 * 6 = 84 \ cm ^ 2\\A_ {2} = (3 + 3 + 3) * 4 = 9 * 4 = 36 \ cm ^ 2\\A_ {3} = (3 + 3) * 4 = 6 * 4 = 24 \ cm ^ 2\\A_ {4} = 3 * 4 = 12 \ cm ^ 2$

Thus, the total area is $A_ {t} = 156 \ cm ^ 2$

Answer:

The perimeter of the figure is 64 centimeters.

$A_ {t} = 156 \ cm ^ 2$

4 0

3 years ago

A substance has a density of 0.70 g/mL, if it has a volume of 3.0 mL, what is its mass?

Naddika [18.5K]

Answer:

Step-by-step explanation:

The mass of a substance when given the density and volume can be found by using the formula

mass = Density × volume

From the question we have

mass = 0.70 × 3

We have the final answer as

Hope this helps you

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3 years ago

Archaeologists attempt to reconstruct past ways of life by examining preserved bones, the ruins of buildings, and artifacts such

jok3333 [9.3K]

I thing b I'm not sure tho

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3 years ago

(x-3) (x-4) polynomial

Debora [2.8K]

Answer:

$x^{2} -7x +12$

Step-by-step explanation:

Using the Foil method

you multiply x times x and get $x^{2}$

Then you multiply -4 times X and get -4x

Then you multiply -3 times X and get -3x

then you add -4 and -3 together and get -7x

Lastly you multiply -4 and -3 and get 12

And there you have it

$x^{2} -7x +12$

8 0

3 years ago