Answer:
ŷ = -0.08522X + 157.7779
The slope = - 0.1
Intercept = 157.8
Step-by-step explanation:
Given the data :
Duration __ Height
240 140
237 154
122 140
267 140
113 160
258 140
232 150
105 150
186 160
248 155
243 125
241 136
214 140
114 155
272 130
227 125
237 125
238 139
203 125
270 140
218 140
226 135
250 141
245 140
120 139
267 110
103 140
270 135
241 140
239 135
General regression equation :
y = mx + c
Where
y = predicted variable
x = predictor / explanatory variable
m = slope or gradient
c = Intercept
The regression equation obtained ;
ŷ = -0.08522X + 157.7779
To one decimal place :
ŷ = -0.1X + 157.8
The slope = - 0.1
Intercept = 157.8
Answer:
x=4
Step-by-step explanation:
12 * X+3=51
Subtract 3 from each side
12x +3-3 = 51-3
12x = 48
Divide by 12
12x/12 = 48/12
x = 4
Step-by-step explanation:
The formula for calculating the area of a square is expressed as;
A = x² where;
x is the length of one side of the square
Given
x = 10in
A = 10²
A = 10 * 10
A = 100in²
Area of the square with side length 10in is 100in²
From the equation A = x², we can see that as the value of x increases, the value of the area also increases and vice versa. This means that the area of the square is directky proportional to its length. Hence we can say YES, the area of a square and the length of its side directly proportional
Answer:
option 2
Step-by-step explanation:
its easier because you can transfer the y to the other side and it gets easier.
2x = -10y
x = 2/-10 y
x = -5y
S=small pizzas
p=pasta dinners
s+p=1600
9s+13p=15600
multiply first equaiton by -9 and add to the second one
-9s-9p=-14400
<u>9s+13p=15600 +</u>
0s+4p=1200
4p=1200
divide by 4
p=300
sub back
s+p=1600
s+300=1600
minus 300 both sides
s=1300
1300 small pizzas
300 pasta dinners
