The table below shows the distance y, in miles, traveled by a toy car in x minutes:Time (x)
(minutes) 20 30 40 50
Distance (y)
(miles) 5 10 15 20

Part A: What is the most likely value of the correlation coefficient of the data in the table? Based on the correlation coefficient, describe the relationship between time and distance traveled by the toy car. (4 points)
[Choose the value of correlation coefficient from 1, 0.8, 0.5, 0.02]

Part B: What is the value of the slope of the graph of distance versus time, and what does the slope represent? (3 points)

Part C: Does the data in the table represent correlation or causation? Explain your answer. (3 points)

Answers

Answer 1

Answer:

Part A: The correlation coefficient is 1. It means that the values of both x and y has a strong relationship giving them a avalue of 1.

Part B: The value of the slope of the graph is 0.5. the slope of the line represents how steep is the line of your graph

Part C: The data presented is correlation.

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Answers

Example in the attachment below.

An investor predicts that next month, 1 ton of coal will cost $53.00, with a 3% margin of error. Based on the prediction, what is the range of possible costs, in dollars per ton, for the coal?

Answers

Answer:

"Cost would be between $51.41 and $54.59"

Step-by-step explanation:

3% margin of error means that the cost can be

3% lower, or
3% higher

First we need to find 3% of $53 and then we will "add" and "subtract" from $53 to get the range of values of cost.

To get 3% of $53, we need to convert the percentage to decimal and multiply with $53. To get percentage to decimal, we divide by 100, so we have:

3/100 = 0.03

Now,

0.03 * 53 = $1.59

The range would be:

$53 + $1.59 = $54.59

and

$53 - $1.59 = $51.41

Cost would be between $51.41 and $54.59

how is the number of lines of symmetry for a regular polygon connected to the number of sides of the polygon

Answers

Excluding some quadrilaterals, some polygons like a hexagon or square have the same amount of lines of symmetry as they do sides.

What is 22 over 2 as a whole number

Answers

11 because 22 divided by 2 is 11

5x+15=90 what do the x equal

Answers

5x+15=90
5x=90-15
5x=75
x=15

$5x+15=90\n5x=75\nx=15$

On her bike, Katie can ride an average of 6 miles per hour. If she rides for one hour and thirty minutes, how far did she go? (Use proportions)

Answers

Answer:

Katie went a distance of 9 miles.

Step-by-step explanation:

To find out how far Katie went when riding her bike for one hour and thirty minutes at an average speed of 6 miles per hour, you can use proportions.

First, you need to convert one hour and thirty minutes into hours. Since there are 60 minutes in an hour, one hour and thirty minutes is equivalent to:

1 hour + (30 minutes / 60 minutes) = 1.5 hours

Now that you know she rode for 1.5 hours at a speed of 6 miles per hour, you can set up a proportion to find the distance (d):

(1.5 hours / 1 hour) = (d miles / 6 miles per hour)

Now, cross-multiply and solve for d:

1.5 hours * 6 miles per hour = d miles

9 miles = d miles

Answer:

9 mph

Step-by-step explanation:

proportion:

6/1 = x/1.5

use cross multiplication