Answer:
we can conclude at 95% of confidence that the true proportion of interest for this case is between 0.287 and 0.613
Step-by-step explanation:
The estimated proportion of interest is 
We need to find a critical value for the confidence interval using the normla standard distributon. For this case we have 95% of confidence, then the significance level would be given by 
and 
.
And the critical value is:
The confidence interval for the true population proportion is interest is given by this formula:
Replacing the values provided we got:
And we can conclude at 95% of confidence that the true proportion of interest for this case is between 0.287 and 0.613
The “1/2” caused the parabola to be vertically compressed meaning it got wider.
and the “-2” caused the parabola to move 2 units to the right
Therefore the correct answer should be C.
<span>Rewrite the subtraction as addition 3- (-10)
= 3 + 10</span>
Answer:
sin(A-B) = 24/25
Step-by-step explanation:
The trig identity for the differnce of angles tells you ...
sin(A -B) = sin(A)cos(B) -sin(B)cos(A)
We are given that sin(A) = 4/5 in quadrant II, so cos(A) = -√(1-(4/5)^2) = -3/5.
And we are given that cos(B) = 3/5 in quadrant I, so sin(B) = 4/5.
Then ...
sin(A-B) = (4/5)(3/5) -(4/5)(-3/5) = 12/25 + 12/25 = 24/25
The desired sine is 24/25.
Answer:
the value of a, if points A and D belong to the x−axis and m∠BAD=60 degrees is 2/√3
Step-by-step explanation:
Trapezoid ABCD with height 2 unit contain Points A and D which may be A(-1,0) and D(5.0)
Vertex of parabola is the point where parabola crosses its axis
Let suppose A and D are two points then draw altitude on them CE where C is on AD
As height of altitude has been given that is 2 then
total angle = 180 degrees
m∠BAD=60 degrees
m∠CEA =180 - 60 -90
= 30
then the value for AE = 2/√3.
y=a(x+1)(x−5).
where 2/√3 is right of -1 and 2 unit above x-axis
