The table below shows the radius y, in centimeters, created by growing algae in x days: Time (x) (days) 2 4 6 8
1 answer:
PART A: This is how you define the corelation coefficient
(1) Make a table and count the mean of x and y
(2) Substract the value of x with the mean of x and it results a, and substract the value of y with the mean of y and it results b (check my attachment, column 3 and 4)
(3) Multiply the value of a and b, it results ab (column 5)
(4) Square the value of a and write the results on a² (column 6), square the value of b and write the results on b² (column 7)
(5) Count the correlation coefficient with the way i work (check below the table)
(6) The correlation coefficient is 0.99 or you can write it as 1.
Describe the relationship: The radius of algae and the the time are in strong positive correlation. If the time is added, the radius of algae will also increase.
PART B:
We know from the question that,
(x₁,y₁) = (6,10)
(x₂,y₂) = (8,14)
You can count the slope with this formula
m = (y₂ - y₁)/(x₂ - x₁)
m = (14-10)/(8-6)
m = 4/2
m = 2
The slope is 2. The slope represents the rate of radius increase on the sixth day to the eighth.
PART C:
It shows correlation, because time is not the cause of radius increase, but time can impact the extension of the radius.
(1) Make a table and count the mean of x and y
(2) Substract the value of x with the mean of x and it results a, and substract the value of y with the mean of y and it results b (check my attachment, column 3 and 4)
(3) Multiply the value of a and b, it results ab (column 5)
(4) Square the value of a and write the results on a² (column 6), square the value of b and write the results on b² (column 7)
(5) Count the correlation coefficient with the way i work (check below the table)
(6) The correlation coefficient is 0.99 or you can write it as 1.
Describe the relationship: The radius of algae and the the time are in strong positive correlation. If the time is added, the radius of algae will also increase.
PART B:
We know from the question that,
(x₁,y₁) = (6,10)
(x₂,y₂) = (8,14)
You can count the slope with this formula
m = (y₂ - y₁)/(x₂ - x₁)
m = (14-10)/(8-6)
m = 4/2
m = 2
The slope is 2. The slope represents the rate of radius increase on the sixth day to the eighth.
PART C:
It shows correlation, because time is not the cause of radius increase, but time can impact the extension of the radius.
You might be interested in
Answer:
a) The ratio of passenger cars to pickup trucks is
The ratio of pickup trucks to passenger cars is
The ratio of passenger cars to total vehicles is
The ratio of pickup trucks to total vehicles is
b) The tape diagram is shown in the attached picture.
c) The tape diagram has 12 equal-sized parts.
d) The total quantity that the tape diagram represent is 192.
e) The value of each individual part of the tape is 16.
f) There were registered 80 passenger cars and 112 pickup trucks.
Step-by-step explanation:
a) According to the information in the problem, that for every 5 passenger cars registered, there were 7 pickup trucks registered.
So the ratios are:
Passenger cars to pickup trucks:
Pickup trucks to passenger cars:
If we calculate the total vehicles: 5+7=12
So, we can get two ratios more:
Passenger cars to total vehicles is
Pickup trucks to total vehicles is
b) We make a tape diagram where each box represents a vehicle so we draw 5 boxes for cars and 7 boxes for pickup trucks.
c) If we count the total quantity of boxes, there are 12.
d) This diagram represents the total quantity of registrations in August which is 192.
e) To get the representation of each part of the tape diagram we have to divide 192 by 12. 192÷12=16
f) Finally, we multiply 16 by the number of boxes of each type of vehicle:
Cars: 16×5=80
Pickup trucks: 16×7=112
Answer:
The cost of a box of crackers is $2.25.
Step-by-step explanation:
Let the cost of a containers of yogurt is $x and cost of a box of crackers is $y.
It is given that Mandy can buy 4 containers of yogurt and 3 boxes of crackers for $9.55.
.... (1)
She can buy 2 containers of yogurt and 2 boxes of crackers for $5.90.
.... (2)
On solving (1) and (2), using graphing calculator, we get
Therefore the cost of a box of crackers is $2.25.
