The value of <em>a</em> and <em>b</em> for the data values of stalk of corn using the logarithmic regression is -76.2038 and 37.6735 respectively.
<h3>What is logarithmic regression?</h3>
Logarithmic regression is a type of regression which is used to model the statement in which the growth or decay initially at rapid rate, and then slow down with respect to time.
The data of the table for the day and height of the stalk of corn is listed below.
Day (<em>x</em>) 9 12 22 40
Height (<em>y</em>) in 5 17 45 60
Mean of x values,

Mean of y values,

For the above table, the value of correlation coefficient is 0.99133. For these values, the logarithmic regression can be given as,

Compare it with the following logarithmic regression equation, we get


Hence, the value of <em>a</em> and <em>b</em> for the data values of stalk of corn using the logarithmic regression is -76.2038 and 37.6735 respectively.
Learn more about the logarithmic regression here;
brainly.com/question/25226042
One acre of land is equal to 4046.86 sq.m.
To know how far they can throw the ball from corner to corner can be interpreted in two ways: throwing the ball diagonally across the field or throwing the ball horizontally across the field. For the first question, since the field is a square, you can use the equation Diagonal of Square = A x sq.root of 2.
In this case, the answer would be 89.97 m.
If the ball is thrown horizontally across the field, then you would only need to know the length of one side of the square, which is the square root of the area. Doing this would give you the answer 63.61 m.
Answer:
2. Judy =$5
Ben= $4
Step-by-step explanation:
2. Let Judy = x and Ben = y
8x + 10y = 80
9x + 5y = 65
Solve these simultaneous equations.
8
x + 10
y = 80
18
x + 10
y = 130
Take the second equation away from the first equation
−
10
x = −
50
x = 5
This means that Judy gets paid $5 an hour.
Therefore, Ben gets paid $4 an hour.
Answer:
3. 24 quarters and 16 dimes
Step-by-step explanation:
3. Let the number of dimes = x and the number of quarters = y
Value Value
Type Number of of
of of EACH ALL
coin coins coin coins
-------------------------------------------
dimes x $0.10 $0.10x
quarters y $0.25 $0.25y
-------------------------------------------
TOTALS 40 $7.60
x + y = 40
0.10x + 0.25y = 7.60
Get rid of decimals by multiplying every term by 100:
10x + 25y = 760
So we have the system of equations:
x + y = 40
10x + 25y = 760
We solve by substitution. Solve the first equation for y:
x + y = 40
y = 40 - x
Substitute (40 - x) for y in 10x + 25y = 760
10x + 25(40 - x) = 760
10x + 1000 - 25x = 760
-15x + 1000 = 760
-15x = -240
x = 16 = the number of dimes.
Substitute in y = 40 - x
y = 40 - (16)
y = 24 quarters.
$1.60 + $6.00 = $7.60
I hope that helped, sorry for taking so long :-)
Answer:
Step-by-step explanation:
x=0.6121212... (1)
10x=6.121212... (2)
1000 x=612.121212... (3)
(3)-(2) gives
990 x=606
330x=202
165x=101
x=(101)/165
The answer is A because Alon could have rotated the figure and discovered that they are congruent