Answer:
g(x) = 3·sin(x + π/2) - 4
Step-by-step explanation:
The given (general form of a) sin function is g(x) = A·sin(x + C) + D
Where;
A = The amplitude (the vertical stretch) = 3
C = The phase shift, left = π/2
D = The vertical shift = 4 units down = -4
Therefore, given that in the parent function, we have f(x) = sin(x), by substituting the values of <em>A</em>, <em>C</em>, and <em>D</em> to complete the equation modeling the function <em>g</em>, we get;
g(x) = 3·sin(x + π/2) - 4
Answer:
Addition Property
Step-by-step explanation:
Added 4 on both sides to equate the solution
To the nearest hundredths would be a number written with 2 values to the right of the decimal:
since 0.008 rounds up
the answer is: 6.18
C
Angle 1 and 2 make up a straight angles and straight angles always equal 180.
Subtract 35 from 180 to find Angle 2s measure which is 145
Answer:
t = [ (x1' - x2' ) - d ] / SE . p < 0.05 suggests means are equal, p > 0.05 suggests means are unequal.
Step-by-step explanation:
Null Hypothesis [H0] : There is no difference between average estimates of two garages, M1 = M2
Alternate Hypothesis [H1] : There is difference between average estimates of two garages, M1 ≠ M2
Hypothesis can be tested by t test
t = [ (x1' - x2' ) - d ] / SE , where :-
x1' & x2' are sample means, SE = sqrt[ (s1^2/n1) + (s2^2 /n2) ] , d is the hypothesized difference between population means, and SE is the standard error ie 0 here
If the p value corresponding to calculated t value is < p value as per significance level (0.05) : We reject null hypothesis & state that M1 ≠ M2
If the p value corresponding to calculated t value > p value as per significance level (0.05) : We accept null hypothesis & state that M1 = M2