Payton collected data to show the relationship between the number of hours he practices and the number of errors he makes when playing a new piece of music. The table shows his data. A 2-row table with 9 columns. The first row is labeled number of hours with entries 1, 2, 3, 4, 5, 6, 7, 8. The second row is labeled number of errors with entries 36, 34, 30, 31, 23, 16, 11, 5. Which is the approximate slope of the line of best fit for the data? –5.5 –4.5 –2.0 –1.0

Answers

Answer 1

Answer:

The approximate value of the line of best fit which is the ratio of the change in y and the change in x axis from the options given is -4.5.

The slope of the line of best fit can be determined using the following pair of points :

(1, 36) and (8, 5)

x1 = 1 ; x2 = 8; y1 = 36 ; y2 = 5

The slope is defined thus :

Slope = (y2 - y1) ÷ (x2 - x1)

Substituting the values into the equation :

Slope = (5 - 36) ÷ (8 - 1)

Slope = -31 ÷ 7

Slope = - 4.428

Therefore, the nearest option from the options given is - 4.5. Hence, the approximate value of slope the best fit line is - 4.5

Learn more :brainly.com/question/18904995

Answer 2

Answer:

Answer: -4.5

Step-by-step explanation: Trust me on this :)

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of the400 doctors who attended a conference, 240 practiced family medicine and 130 were from countries outside the United States. One-third of the family medicine practitioners were not fem the united states....WHATS IS THE PROBABILITY A DOCTOR PRACTICE FAMILY MEDICINE OR IS FROM THE UNITED STATES?

Answers

3/5 were there for family med
27/40 of all were from us
2/5 were both from us and studied family med
Srry if its too late or not what u needed

Answer:539i think I am not sure

Step-by-step explanation:

Triangle PQR has vertices P(0, 0), Q(3, 4), and R(3, 0). If triangle PQR is rotated 180° about the origin, what is the length of side P'Q'?

Answers

Answer:

The length of P'Q' is 4 units

The length of P'R' is 3 units

Step-by-step explanation:

If you rotate the figure 180° then the vertex would be R, and from P to Q is 3 units left and 4 units down

Final answer:

To find the length of side P'Q' after rotating triangle PQR 180° about the origin, we need to find the distance between the points P'(0,0) and Q'. When you rotate a point (x, y) 180° about the origin, the new coordinates are (-x, -y). Using the distance formula, we can find the length of side P'Q': d = sqrt((-3-0)^2 + (-4-0)^2) = sqrt(9 + 16) = sqrt(25) = 5. Therefore, the length of side P'Q' is 5 units.

Explanation:

To find the length of side P'Q' after rotating triangle PQR 180° about the origin, we need to find the distance between the points P'(0,0) and Q'.

When you rotate a point (x, y) 180° about the origin, the new coordinates are (-x, -y).

So, the coordinates of point Q' would be (3, 4) rotated 180°, which is (-3, -4).

Using the distance formula, we can find the length of side P'Q':

d = sqrt((-3-0)^2 + (-4-0)^2) = sqrt(9 + 16) = sqrt(25) = 5.

Therefore, the length of side P'Q' is 5 units.

Learn more about rotating triangles here:

brainly.com/question/16631420

#SPJ2

Which of the following expressions is larger? 3.67 x 10^2 or 1.9 x 10^2

Answers

Answer:

3.67 x 10^2 is larger

Step-by-step explanation:

Answer:

3.67 x 10^2 is larger than 1.9 x 10^2

Step-by-step explanation: Multiply

Am getting the hang of this but I still need help so may I please get help with this equation -7a+6a^2-10

Answers

The factors are (a - 2) and (6a + 5) .If the expression is equal to zero, then 'a' can be 2, and 'a' can be -5/6 .

-7a+6a^2-10
I am assuming you are solving to get a zero, in which case a=2

The sum of two odd numbers is 198. Both of the numbers are multiples of 3. One of the numbers is 5 times the other. Which equation could you use to find the two numbers?

Answers

Answer:

The equation used to find the two numbers is:

x+5x=198

and numbers are:

33 and 165

Step-by-step explanation:

The sum of two odd numbers is 198.

One of the numbers is 5 times the other.

Let one number be x

other number=5x

⇒ x+5x=198

⇒ 6x=198

Dividing both sides by 6,we get

x=33

Other number=5x=5×33=165

The equation used to find the two numbers is:

x+5x=198

and numbers are:

33 and 165

You could use m= the lesser number and n as the greater number. Since one is 5 times the other you will start with m+5m=198. Then you will combine like terms so it will become 6m=198. Then you will solve it as a regular equation. m=33 and n=165.

Find the GCF of 4x^2 y and 6xy^3