All categories

3 years ago

What does the translation rule (x - 6, y + 3) tell you to do?

Mathematics

1 answer:

AlekseyPX3 years ago

7 0

translate it 6 units to the left and 3 units up

You might be interested in

Some types of algae have the potential to cause damage to river ecosystems. Suppose the accompanying data on algae colony densit

Phantasy [73]

Answer:

$y=-2.95836 x +234.56159$

Step-by-step explanation:

We assume that th data is this one:

x: 50, 55, 50, 79, 44, 37, 70, 45, 49

y: 152, 48, 22, 35, 43, 171, 13, 185, 25

a) Compute the equation of the least-squares regression line. (Round your numerical values to five decimal places.)For this case we need to calculate the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

So we can find the sums like this:

$\sum_{i=1}^n x_i =50+ 55+ 50+ 79+ 44+ 37+ 70+ 45+ 49=479$

$\sum_{i=1}^n y_i =152+ 48+ 22+ 35+ 43+ 171+ 13+ 185+ 25=694$

$\sum_{i=1}^n x^2_i =50^2 + 55^2 + 50^2 + 79^2 + 44^2 + 37^2 + 70^2 + 45^2 + 49^2=26897$

$\sum_{i=1}^n y^2_i =152^2 + 48^2 + 22^2 + 35^2 + 43^2 + 171^2 + 13^2 + 185^2 + 25^2=93226$

$\sum_{i=1}^n x_i y_i =50*152+ 55*48+ 50*22+ 79*35+ 44*43+ 37*171+ 70*13+ 45*185+ 49*25=32784$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=26897-\frac{479^2}{9}=1403.556$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}=32784-\frac{479*694}{9}=-4152.22$

And the slope would be:

$m=-\frac{-4152.222}{1403.556}=-2.95836$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{479}{9}=53.222$

$\bar y= \frac{\sum y_i}{n}=\frac{694}{9}=77.111$

And we can find the intercept using this:

$b=\bar y -m \bar x=77.1111111-(-2.95836*53.22222222)=234.56159$

So the line would be given by:

$y=-2.95836 x +234.56159$

7 0

3 years ago

A 25-foot-long footbridge has two diagonal supports that meet in the center of the bridge. Each support makes a 65∘ angle with a

mamaluj [8]

The length x of a diagonal support, to the nearest tenth of a foot?

x≈ 13 feet

Cuz I said so

5 0

2 years ago

PLEASE HELP ON 35C ASAP. WILL MARK BRAINLIEST!!!! NEED BY TODAY ITS DUE!!! PLEASE!!! PLEASE HELP!!!

IrinaK [193]

Answer: they all are congruent

b n/a c n/a

Step-by-step explanation:

6 0

3 years ago

Two of the airlines did not have an airline quality score. The least-squares regression line for this data is given by ŷ = 0.990

hjlf

Answer:

Step-by-step explanation:

the passengers of hawaiian airlines in 2018 were 1.800.000, and for Northwest airlines 192.500.000 (delta)

We replace this number in the equation :

Hawaiian : 0,990 +0.683 x (number of passengers) =

0.990 + 0.683 x (1.800.000) =12294012

Northwest airlines: 0,990 +0.683 x (number of passengers) =

0.990 + 0.683 x (195.000.000) = 131477501

8 0

3 years ago

Please help!!!!

Svet_ta [14]

5 would be the best answer choice

3 0

4 years ago