Answer:
8 and 6
Step-by-step explanation:
If you use x for the first number, and y for the second, you get equations of 3x+5y=54 and x-2=y.
You can substitute the second equation into the first one to solve it. This gives 3x+5(x-2)=54.
The brackets can be expanded to 3x+5x-10=54. Collecting like terms makes it 8x-10=54.
Next, we add 10 to both sides. This gives 8x=64.
From there, we isolate the x by dividing both sides by 8, giving x=8.
To work out the second number, we can sub 8 for x in either equation (I'm using the second one as it's simpler).
This comes to y=8-2, therefore y=6.
**This content is simultaneous equations, which you may wish to revise. I'm always happy to help!
Answer:
(A) For each additional hundred dollars spent on advertising, sales are predicted to increase by $2,380.
Step-by-step explanation:
Regression isa statistical equation, denoting relationship between independent (causal) variable(s) & dependent (effected) variable.
y = a <u>+</u> bx
where y = dependent variable, x = dependent variable, a (intercept) = autonomous value of y, b (slope) = change in y due to change in x
Regression equation of independent variable (x) as advertising expenditure & dependent variable (y) sales : y = 24.45 + 2.38x
Sales are in thousands of dollars, advertising expenditure is in hundreds of dollars. So, the interpretations are :
- Intercept interpretation : When there is zero advertising expenditure, sales are 24.45 thousands i.e $24450
- Slope Interpretation :<u> When advertisement expenditure change (rise) by 1 hundred, sales change (rise) by 2.38 thousand i.e</u><u> </u><u>$2380</u>
46/14. Hoped this helped!
Answer:
x
=
10
,
y
=
2
Step-by-step explanation:
When in aqueous solution, K2CrO4 dissociates into ions. It dissociates into:
K2CrO4 = 2K+1 + CrO4-1
We do as follows:
Molarity = mol / L = 0.38 g/g solution ( 1.37 g/mL ) ( 1 mol / 194.19 g ) ( 1 mol CrO4-1 / 1 mol K2CrO4 ) ( 1000 mL / 1 L ) = 2.68 M
