The equation for the line of best fit can be obtained as follows, using the least square method (for more info visit http://hotmath.com/hotmath_help/topics/line-of-best-fit.html ):
mean of X = 1/6
mean of Y = 2/3
slope, m = 704/1121 = 0.6
Computing the y-intercept using the formula:
b = mean of Y - m (mean of X) = 2/3 - (704/1121)(1/6)
b = 0.562 = 0.6
Therefore, the equation of the line of best fit, given the standard relation:
y = mx + b
y = 0.6x + 0.6
Answer:
$24, $48, $72
Step-by-step explanation:
Given that :
Jake: cost per shirt = $6
Andy : cost per shirt = $8
Bith spent same amount of money on shirt purchase :
Amount of money they could have spent :
Obtain the factors common to both 6 and 8
Factors of :
6 : 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72
8 : 8, 16, 24, 32, 40, 48, 56, 64, 72
$24, $48, $72,....
Answer:
The independent variable is m, while the dependent variable is t.
Step-by-step explanation:
- What is the independent variable?
An independent variable is a variable that does not rely on another variable to change its outcome. In this case, the variable 'm' does not rely on the ride's total cost.
- What is the dependent variable?
The dependent variable is a variable that depends on another variable to give its amount. In this case, 't' is the dependent variable, because it depends on how many miles were driven, in order to provide the correct answer.
- Write an equation representing this relationship:
t = $6 + ($1.50 x m)
- Complete the table to show the total cost for riding 3 to 10 miles:
3 miles: t = $6 + ($1.50 x m) or $10.50 = $6 + ($1.50 x 3)
4 miles: t = $6 + ($1.50 x m) or $12 = $6 + ($1.50 x 4)
5 miles: t = $6 + ($1.50 x m) or $13.50 = $6 + ($1.50 x 5)
6 miles: t = $6 + ($1.50 x m) or $15 = $6 + ($1.50 x 6)
7 miles: t = $6 + ($1.50 x m) or $16.50 = $6 + ($1.50 x 7)
8 miles: t = $6 + ($1.50 x m) or $18 = $6 + ($1.50 x 8)
9 miles: t = $6 + ($1.50 x m) or $19.50 = $6 + ($1.50 x 9)
10 miles: t = $6 + ($1.50 x m) or $21 = $6 + ($1.50 x 10)
The answer is the sixth grade class.
In order to find the answer, you have to divide each grade's total by the number of hours it took them to make that money, which will give you the amount each class makes per hour.
$170 / 55 = $3.09
$112 / 44 = $2.54
$192 / 66 = $2.91
First we need to find k ( rate of growth)
The formula is
A=p e^kt
A future bacteria 4800
P current bacteria 4000
E constant
K rate of growth?
T time 5 hours
Plug in the formula
4800=4000 e^5k
Solve for k
4800/4000=e^5k
Take the log for both sides
Log (4800/4000)=5k×log (e)
5k=log (4800/4000)÷log (e)
K=(log(4,800÷4,000)÷log(e))÷5
k=0.03646
Now use the formula again to find how bacteria will be present after 15 Hours
A=p e^kt
A ?
P 4000
K 0.03646
E constant
T 15 hours
Plug in the formula
A=4,000×e^(0.03646×15)
A=6,911.55 round your answer to get 6912 bacteria will be present after 15 Hours
Hope it helps!
