Answer:
AE = 18 units
Step-by-step explanation:
Δ AEB and Δ DEC are similar , then corresponding sides are in proportion, that is
= 
, substitute values
= 
( cross- multiply )
10(2x + 4) = 12(x + 8) ← distribute parenthesis on both sides
20x + 40 = 12x + 96 ( subtract 12x from both sides )
8x + 40 = 96 ( subtract 40 from both sides )
8x = 56 ( divide both sides by 8 )
x = 7
Then
AE = 2x + 4 = 2(7) + 4 = 14 + 4 = 18 units
Answer:
(1, 3)
Step-by-step explanation:
2x + 3y = 11 ------------(i)
-4x + 2y = 2 ------------(ii)
Multiply equation (i) by 2.
(i)*2 4x + 6y = 22
(ii) <u>-4x + 2y = 2</u> {Now add and x will be eliminated}
8y = 24
y= 24/8
y = 3
Plugin the value of y in equation (i)
2x + 3*3 = 11
2x + 9 = 11
2x = 11-9
2x = 2
x = 2/2
x = 1
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>
Answer:
1/8
Step-by-step explanation:
You must divide by common multipliers. so you can first divide the numerator and denominator by 10, which would make it 6/48, and then do that again with 6. Which then would give you the answer of 1/8.
Probablity=desiredoutcomes/totalpossibleoutcomes
total possible outcomes=1+2+4+3=10
desired outcomes=4 blue
probablity=4/10=2/5=40%
