This question is based on the concept of solving an equation. Therefore, 7.5 gallons of water would be added to 5 gallons of 50% acid solution to get a 20% solution.
Given:
5 gallons of 50% acid solution to get a 20% solution.
According to question,
Let it be x gallons of water should be added to 5 gallons of 50% acid solution to get a 20% solution.
Now, forming the equation, we get,
0.50
(
5
) = 0.20 (
x
+
5
)
Simplifying the equation.
We get,
2.5 = 0.2x + 1
1.5 = 0.2 x
x = 7.5
Therefore, 7.5 gallons of water would be added to 5 gallons of 50% acid solution to get a 20% solution.
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Answer:
ŷ = 0.964X1 - 0.336X2 + 13.066
b1 = 0.964 which is the unit change in the value of y when x1 changes.
b2 = - 0.336 which is the unit change in the value of y when x2 changes
Step-by-step explanation:
Y
10
11
15
15
20
23
27
32
X1
1
5
5
9
7
11
16
21
X2
16
11
14
11
1
8
7
3
The general form of a multiple regression equation is in form:
ŷ = b1x1 + b2x2 + c
Where,
ŷ = predicted or dependent variable
b1 and b2 = slope or gradient Coefficient for the independent or predictor variables x1 and X2 respectively.
c = intercept (constant)
Using the online multiple regression calculator, the model obtained by Inputting the values is written below:
ŷ = 0.964X1 - 0.336X2 + 13.066
Value of b1 = 0.964 which is the unit change in the value of y when x1 changes.
Value b2 = - 0.336 which is the unit change in the value of y when x2 changes
Answer:
I believe the correct answer is A
Step-by-step explanation:
Answer:
Per child admission costs $8.5
Per Adult admission costs $13.5
Step-by-step explanation:
Let x be the amount of admission per child and y be the amount of admission per adult
For Tom's party:
13x+2y=137.50 (Equation 1)
For Lisa's Party:
9x+2y=105.50 (Equation 2)
Using Elimination Method:
Add Equation 1 & 2
13x+2y=137.50
9x+2y=105.50
- - = - (Change of Signs)
---------------------------------
4x+0y=34.00
x=34/4
x=8.5
Putting the value of x in Equation 2
13(8.5)+2y=137.50
110.5+2y=137.50
2y=137.50-110.50
2y=27
y=27/2
y=13.5