Answer:
C. y = 1/2x - 14
Step-by-step explanation:
Find the slope of the original line and use the point-slope formula y
−
y
1
=
m
(
x
−
x
1
) to find the line parallel to y
=
1
/2
x
−
8
.
y
=
1
/2
x
−
14 PARALLEL
...................................................................................................................................................
Find the negative reciprocal of the slope of the original line and use the point-slope formula y
−
y
1
=
m
(
x
−
x
1
) to find the line perpendicular to y
=
1
/2
x
−
8
.
y
=
−
2
x
−
29 PERPENDICULAR
The number is near zero, so it is classified as "low." Its sign is negative, so it is a ...
-low negative correlation
Answer:
B) Jack biked 5 miles in 25 minutes and 8 miles in 40 minutes.
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
The ratio between the two variables is a constant called constant of proportionality k
<u><em>Verify each case</em></u>
A) Julie sold 4 necklaces for $12 and 9 necklaces for $25.
Multiply in cross
Is not true
therefore
The situation not represent a proportional relationship
B) Jack biked 5 miles in 25 minutes and 8 miles in 40 minutes.
Multiply in cross
Is true
therefore
The situation represent a proportional relationship
C) Larry packed 24 apples in 6 boxes and 46 apples in 9 boxes
Multiply in cross
Is not true
therefore
The situation not represent a proportional relationship
D) Allie put 14 pieces of candy in 2 bags and 30 pieces of candy in 4 bags
Multiply in cross
Is not true
therefore
The situation not represent a proportional relationship
Answer:
Fill in the blank with 14
<em></em>
Step-by-step explanation:
Given
The attached table
Required
Fill in the gap
Since, the table represents a linear function.
The first step is to calculate the slope of the table
Where
The equation of the table is calculated next as:
This becomes
Solve for y
To fill in the blank;
The value of x is 4
So, substitute 4 for x in
Answer:
3.113, 4.507
Step-by-step explanation:
From the given values:
Mean = 3.81
Standard deviation = 1.74
Therefore
M = √(1.72/18) = 0.4
μ = M ± t(sM)
μ = 3.81 ± 1.74*0.4
μ = 3.81 ± 0.697
Recall that the mean is estimated at 90% confidence level,
Hence,
= 90% CI [3.113, 4.507]