Answer:
x= -1/2
Step-by-step explanation:
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:
The most straightforward way to obtain the expression for cos(2x) is by using the "cosine of the sum" formula: cos(x + y) = cosx*cosy - sinx*siny. cos(2x) = cos² (x) - (1 - cos²(x)) = 2cos²(x) - 1. = 2cos²(x) - 1.
Step-by-step explanation:
Let ABC be a triangle in the 3rd quadrant, right-angled at B.
So, AB-> Perpendicular BC -> Base AC -> Hypotenuse.
Given: sinθ=-3/5 cosecθ=-5/3
According to Pythagorean theorem, square of the hypotenuse is equal to the sum of square of the other two sides.
Therefore in triangle ABC, 〖AC〗^2=〖AB〗^2+〖BC〗^2 ------
--(1)
Since sinθ=Perpendicular/Hypotenuse ,
AC=5 and AB=3
Substituting these values in equation (1)
〖BC〗^2=〖AC〗^2-〖AB〗^2
〖BC〗^2=5^2-3^2
〖BC〗^2=25-9
〖BC〗^2=16
BC=4 units
Since the triangle is in the 3rd quadrant, all trigonometric ratios, except tan
and cot are negative.
So,cosθ=Base/Hypotenuse Cosθ=-4/5
secθ=Hypotnuse/Base secθ=-5/4
tanθ=Perpendicular/Base tanθ=3/4
cotθ=Base/Perpendicular cotθ=4/3