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Mandarinka [93]
2 years ago
10

A baseball "diamond" actually forms a square, each side measuring 30 yards. How far, to the nearest yard, must the third baseman

throw the ball to reach first base?
Mathematics
1 answer:
Drupady [299]2 years ago
6 0

Answer:                                                      

15 yards

Step-by-step explanation:

the pitcher is in the middle of the diamond square thingy,the length is 30, so half of 30 is 15

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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
How many ways can you arrange 28
MaRussiya [10]

Answer:

In 6 ways 28 can be arranged

Step-by-step explanation:

1 × 28 = 28

2 × 14 = 28

4 × 7 = 28

7 × 4 = 28

14 × 2 = 28

28 × 1 = 28

Thus, In 6 ways 28 can be arranged

<em><u>-TheUnknownScientist</u></em>

3 0
3 years ago
Alisa has a bunch of coins. She has pennies. She has nickels. She has dimes. She has quarters. They lie in one big pile. Alisa w
Alona [7]

Answer:

E. Not enough info.

Step-by-step explanation:

There could be 2 quarters 500 nickels and 7 pennies or 800 pennies 50 quarters and 2 nickels.

3 0
2 years ago
Read 2 more answers
STILL GOING BAN ON THEM ANYWAY
iren [92.7K]

Answer:

I-

Step-by-step explanation:

Um okay.

7 0
3 years ago
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A sea horse riding travels an average of 0.01 miles per hour. At that rate , how fast can a sea horse travel in 2.4 hours?
kondaur [170]
As for this problem, it would be best to approach this with a ratio to ratio approach. This would then involve the equation with fractions which is the common conversion from ratios to easily solve the problems concerning these. The equation then would look somehow like this:

0.01 miles / 1 hour = x miles / 2.4 hours

The easiest way would be just to multiply the numerator, which is the miles, to 2.4. So when it is multiplied to the numerator, the equation then would turn to:

0.01 miles x 2.4 / 1 hour = x miles / 2.4 hours

0.024 miles would be the answer.
5 0
3 years ago
Read 2 more answers
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