Simplify
Let's simplify step-by-step.
x(5)−3(x−4)
Distribute:
=x(5)+(−3)(x)+(−3)(−4)
=5x+−3x+12
Combine Like Terms:
=5x+−3x+12
=(5x+−3x)+(12)
=2x+12
Answer:
=2x+12
Slope formula: y2-y1/x2-x1
-10-2/4-(-2)
-12/6
-2
The answer is -2
Answer:
Step-by-step explanation:
Simplify 4*(7-c)
4
⋅
(
7
−
c
)
4
⋅
(
7
-
c
)
Apply the distributive property.
4
⋅
7
+
4
(
−
c
)
4
⋅
7
+
4
(
-
c
)
Multiply.
Tap for more steps...
Multiply 4
4
by
7
7
.
28
+
4
(
−
c
)
28
+
4
(
-
c
)
Multiply
−
1
-
1
by
4
4
.
28
−
4
c
28
-
4
c
28
−
4
c
Answer:
y = 7.8x + 26
Step-by-step explanation:
Given the following :
Pearson's r = 0.78
Average consumption of ice cream = 5 grams per week (m) with Standard deviation (sd) = 1.5 grams
Average weight = 65 kg with standard deviation of 15kg
Formular for the regression line :
General regression formula :
y = mx + c
y = predicted variable ; m = slope or gradient ; x = predictor variable ; c = intercept
Gradient (m) = change in y / change in x
m = (sd y / sd x) * r
m = (sd weight / sd ice cream) × r
m = (15 / 1.5) × r
m = 10 × 0.78 = 7.8
Intercept:
mean of weight(y) - [Slope×mean of icecream(x)]
65 - [7.8 × 5]
65 - 39 = 26
Hence,
y = 7.8x + 26
