1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tensa zangetsu [6.8K]
3 years ago
10

The scatter plot shows the relationship between the number of hours spent jogging and the number of minutes spent stretching, by

the students on a track team:
A scatter plot is shown titled fitness routine. The x-axis is labeled hours jogging and the y-axis is labeled minutes stretching. Data points are located at 0 and 1, 2 and 1, 2 and 2, 4 and 3, 4 and 5, 6 and 3, 7 and 5, 9 and 4. A line connects the points 0 comma 1 and 10 comma 6.
What is the y-intercept of the line of best fit and what does it represent? (4 points)


1 minute; the number of minutes students stretch when they do not jog

1 hour; the number of hours students jog when they do not stretch

4 hours; the number of hours students jog when they do not stretch

4 minutes; the number of minutes students stretch when they do not jog


4.
(06.04)

The line of best fit for a scatter plot is shown:

A scatter plot and line of best fit are shown. Data points are located at 0 and 1, 2 and 1, 2 and 3, 4 and 3, 4 and 5, 6 and 3, 7 and 5, 9 and 4. A line of best fit passes through the y-axis at 1 and through the point 4 and 3.
What is the equation of this line of best fit in slope-intercept form? (4 points)


y = 1x + one half

y = one halfx + 1

y = 1x − one half

y = negative one halfx + 1


5.
(06.04)

The graph shows the number of cakes sold at Karen's Cake Shoppe for each of their 7 weeks in business:

A scatter plot is shown with the title Karens Cake Shoppe. The x axis is labeled Weeks in Business, and the y axis is labeled cakes sold. The data points are located at 1 and 2, 2 and 4, 3 and 5, 4 and 4, 5 and 6, 6 and 5, and 7 and 8. A line of best fit passes through the y axis at 1 and through the point 10 and 10.
If her current pattern continues, how many cakes will Karen most likely sell in her 10th week of business? (4 points)


10, because approximately y = 9 over 10.x + 1

11, because approximately y = 9 over 10.x + 1

8, because approximately y = 1x − 1

12, because approximately y = 1x + 2
Mathematics
1 answer:
kati45 [8]3 years ago
6 0
The y-intercept of the first question is 1 and it represents the number of minutes they stretch when they don't jog.
#4) y=1/2x + 1
#5) 10 cakes, because y=9/10x+1

Explanation
For the first question:  The y-intercept is easily picked from the two points that define the line.  (0, 1) would have to be on the y-axis, because when we plot it, the x-coordinate is 0.  This means it is the y-intercept of the line.

#4) Finding the slope of the line, we use the formula 
m=(y₂-y₁)/(x₂-x₁) = (3-1)/(4-0) = 2/4 = 1/2

The y-intercept is at (0, 1), using the same justification as the first question.
This gives us the equation y = 1/2x + 1.

#5) First we find the equation of the line.  To do this, find the slope:
m=(y₂-y₁)/(x₂-x₁) = (10-1)/(10-0) = 9/10

The y-intercept is at (0, 1).  This makes our equation y=9/10x + 1.

Using 10 as x (x represents the number of weeks) we have
y=9/10(10) + 1
y=9/10(10/1) + 1
y=90/10 + 1
y=9+1 = 10
You might be interested in
Put the equation in standard form with a positive X coefficient. y-5 = -2 (x+6) ​
iVinArrow [24]

The answer is 2x+y+7=0.

3 0
4 years ago
6. Peggy Carter is selling tickets to see Captain America. On the first night she sold 12 adult tickets and 11 student tickets f
Nataliya [291]

Answer:

student ticket = $11

(adult ticket = $15)

Step-by-step explanation:

Let a = price of adult ticket

Let s = price of student ticket

Given:

  • On the first night she sold 12 adult tickets and 11 student tickets for $301 dollars

⇒ 12a + 11s = 301

Given:

  • On the second night she made $134 selling 6 adult tickets and 4 student tickets

⇒ 6a + 4s = 134

Multiply 6a + 4s + 134 by 2 then subtract from 12a + 11s = 301 to eliminate a:

⇒ (6a + 4s = 134) × 2:  12a + 8s = 268

  12a + 11s = 301

- (12a + 8s = 268)

--------------------------

            3s = 33

     

⇒ s = 33 ÷ 3 = 11

Substitute found value of s into one of the equations and solve for a:

⇒ 12a + 11(11) = 301

⇒ 12a + 121 = 301

⇒ 12a = 180

⇒ a = 15

Therefore, the price of an adult ticket is $15 and the price of a student ticket is $11

6 0
2 years ago
Karen is riding her bike at 4 miles per hour she wants to show this on a graph what should she draw
Radda [10]
4 mph is a rate, and is represented by a straight line thru the origin with slope 4/1.

Draw a set of coordinate axes and label them t (for time) and d(for distance).
Start with your pencil point at the origin.  Arbitrarily move this point 3 spaces to the right, and from there move it 4 spaces up.  You'll be at (3,4).

Draw a straight line from the origin (0,0) to the point (3,4).
8 0
3 years ago
Evaluate 10x² y ² for x=-1 and y=-2
DerKrebs [107]

Answer:

40

Step-by-step explanation:

You would first want to plug in.

10 x (-1)² x (-2)²

Now apply the exponents.

10 x 1 x 4

Now combine.

40

6 0
4 years ago
Two birds sit at the top of two different trees that are both 29.7 feet tall. The distance between the first bird and a bird wat
vazorg [7]
If the first bird is on top of the bird watcher and the height of the tree is the same, then we form a right triangle with right angle on the second bird.
We can solve the angle of depression by trigonometric functions. So,sin θ = 29.7 / 42.1θ = sin-1 (29.7/42.1)θ = 44.87°
Therefore, the angle of depression of the second bird and the bird watcher is 44.87°.

 
7 0
3 years ago
Other questions:
  • 15/17 in simplified, rational form?
    6·1 answer
  • What are factors for the numbers 24 and 52?
    14·2 answers
  • If y is directly proportional to x and y =15 when 6=x what is the value of x when y=24​
    7·1 answer
  • Eli’s family eats 1 3/8. Which drawing has 1 3/8 shaded <br> Please help
    5·2 answers
  • Of the customers who enter a store for stereo speakers, only 24% make purchases. if 38 customers enter the showroom tomorrow, fi
    14·1 answer
  • Which inequality is false?
    5·2 answers
  • Help!!! please I will mark you as brainliest
    14·1 answer
  • I've done this already but I got it wrong so can you pls help
    5·1 answer
  • I’m slow , can i get help on this asap please ?
    10·1 answer
  • Use spherical coordinates. Evaluate e underroot x2 + y2 + z2 dV, where E is enclosed by the sphere x2 + y2 + z2 = 81 in the firs
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!