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elena-s [515]
3 years ago
15

38 Is that a perfect square

Mathematics
2 answers:
fomenos3 years ago
7 0
No cuz u have to be able to divide by 4 i think
Alika [10]3 years ago
5 0

Answer:

yea, its a perfect square

Step-by-step explanation:

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The Coast Starlight Amtrak train runs from Seattle to Los Angeles. The mean travel time from one stop to the next on the Coast S
Goshia [24]

Solution :

a).

Given :

R = 0.636, $S_x = 99$, $S_y=113, M_x=108, M_y=129$

Here R = correlation between the two variables

        $S_x , S_y$ =  sample standard deviations of the distance and travel time between the two train stops, respectively.

      $M_x, M_y$ = means of the distance and travel between two train stops respectively.

The slope of the regression line is given by :

Regression line, b_1  $=R \times \left(\frac{S_y}{S_x}\right)$

                            $=0.636 \times \left(\frac{113}{99}\right)$

                            = 0.726

Therefore, the slope of the regression line b_1 is 0.726

The equation of the regression line is given by :

$\overline {y} = b_0+b_1 \overline x$

The regression line also has to pass through the two means. That is, it has to pass through points (108, 129). Substituting these values in the equation of the regression line, we can get the value of the line y-intercept.

The y-intercept of the regression line $b_0$ is given by :

$b_0=M_y-(b_1 \times M_x)$

  = 129 - (0.726 x 108)

  = 50.592

Therefore, the equation of the line is :

Travel time = 20.592 + 0.726 x distance

b).\text{ The slope of the line predicts that it will require 0.726 minutes} for each additional mile travelled.

The intercept of the line, $b_0$ = 0.529 can be seen as the time when the distance travelled is zero. It does not make much sense in this context because  it seems we have travelled zero  distance in 50.529 minutes, but we could interpret it as that the wait time after which we start travelling and calculating the distance travelled and the additional time required per mile. Or we could view the intercept value as the time it takes to walk to the train station before we board the train. So this is a fixed quantity that will be added to travel time. It all depends on the interpretation.

c). $R^2=0.404$

This means that the model accounts for around 40.4% variation in the travel time.

3 0
3 years ago
(the
sleet_krkn [62]

at x = 0, y = 100, y-intercept

meaning at 0 years, at the very beginning of functioning, the satellite had 100 units of power.

at y = 0, x = 10, x-intercept

meaning, at year 10, the satellite had 0 units of power, already out of power.

4 0
2 years ago
Please help me in questions 15 and 21 with their inequalities and graph
aleksklad [387]

Answer:

x >= 7 OR x < -8

n <= -3 AND n > -6

Step-by-step explanation:

15) 7x - 6 >= 43 OR 10x + 4 < -76

7x >= 43 + 6 OR 10x < -76 - 4

7x >= 49 OR 10x < -80

x >= 7 OR x < -8

you can draw based on this

for >= it is full dot for < it is like circle on the graph

you have to draw both x>= 7 , x < -8 on the same line because it is OR

so both ranges of x are possible

21) 3 + 2n <= -3 AND 1 - 3n < 19

2n <= -3 -3 AND -3n < 19 - 1

2n <= -6 AND -3n < 18

n <= -3 AND 3n > -18

n <= -3 AND n > -6

so it lies between -6 and -3

u can refer pictures below

8 0
2 years ago
A merchant bought 30 dozen pairs of gloves. How many individual gloves did the merchant buy? A-720 B-420 C-300
sdas [7]

A-720

30x12x2

There are 30 dozen, a dozen means twelve. 30 times 12 is 360. There are 360 pairs of gloves. A pair means 2. 360 pairs times 2 gloves in a pair equals 720.

7 0
3 years ago
-2x - 5y = 13 2x - 5y =17
Flura [38]

{-2x-5y=13

<u>{2x-5y=17    </u>(+)

<em />  -2x+2x-5y-5y=13+17

-10y=30     /:(-10)

y=-3

2x-5y=17

2x-5*(-3)=17

2x+15=17

2x=2

x=1

<em>Solution: (1; -3)</em>       

6 0
3 years ago
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