Answer:
<em>A: For each increase in the number of procrastination days by 1, the predicted grade decreases by 3.64 points.</em>
Step-by-step explanation:
<u>The slope of a Regression Line</u>
A straight line can be represented in the slope-intercept form:
y = mx + b
Where m is the slope and b is the y-intercept.
The slope describes how fast and in what direction the graph goes when x changes values.
If m is positive, increments in x imply increments in y.
If m is negative, increments in x imply decrements in y.
The regression line is:
ŷ = –3.64x + 96.5
Where:
x = the number of procrastination days
ŷ = the predicted grade
We can say the slope is m=-3.64. This means that:
A: For each increase in the number of procrastination days by 1, the predicted grade decreases by 3.64 points.
Answer:
3xy2
Step-by-step explanation:
GCF is the largest factors which are common in two or more numbers.
We find the GCF of two or more number number by breaking each number into their factor and then observe which factors are common in the group and then we multiple the common number to get the GCF.
Lets understand this by an example
GCF of 24 and 36
factors of 12 = 2*2*2*3 , factors of 36 = 2*2*3*3
hence we see that 2,2 and 3 are common in 12 and 36 hence
GCF will be 2*2*3 = 12
Coming back to problem
given
Expression 1 is 3xy^2
factor of 3xy^2 = 3*x*y*y
Expression 2 is 42xy4
factor of 42xy4 = 2*3*7*x*y*y*y*y
common factor between the two expressions are
3, x, y , y
hence GCF will be = 3*x*y*y =3xy2 Answer
Answer:
The total number of elements in the sample space if the experiment has 3 stages is 64 ....
Step-by-step explanation:
The answer is C.
According to the given statement the number of equally likely sample outcomes of a single stage of an experiment is 4
To find the total number of elements in the sample space if the experiment has 3 stages, we just simply multiply 4 three times.
4³ = 4*4*4
= 64
Therefore the total number of elements in the sample space if the experiment has 3 stages is 64 ....
Answer:
y = 12x + 9 is the answer.
Step-by-step explanation:
Since the given equation is 2x + 12 y = -1
12y = -2x -1
Now this line is in the form of y = mx + c
Here m = slope = -1/12
We have to calculate the slope of another line perpendicular to this line and passing through (0, 9).
Let the equation is y = m' + c'
We know m×m' = -1 for two perpendicular lines
m' = 12
Therefore the equation will be
y = 12x + c'
Since this line passes through ( 0, 9)
9 = 12×0 + c'
c' = 9
Now the equation will be
y = 12x + 9
This is the answer.
Answer:
f(0,0)=ln19
Step-by-step explanation:
is given as continuous function, so there exist 
and it is equal to f(0,0).
Put x=rcosA annd y=rsinA
we know that 
, so we have that
So f(0,0)=ln19.
