The mean is 85*0.39 = 33.15, while the standard error is sqrt(0.39*0.61/85) = 0.0529. Using the z-score of 1.96, the confidence interval is:33.15 +/- 1.96*0.0529 = (33.05, 33.25)By dividing by 85, this corresponds to a proportion of:(0.3888, 0.3912)
Answer:
Option B
Step-by-step explanation:
From the figure attached,
Circle D is drawn with the radius = DG or DE
A tangent FG has been drawn at a point G on the circle from an external point F.
By theorem,
Radius of a circle is always perpendicular to the tangent, drawn to the circle from an external point.
Therefore, DG ⊥ FG.
Option B will be the correct option.
Recall: distance = rate times time.
To determine how far apart the two cars will be after four hours of travel, subtract the sum of the distances traveled from 200 mi:
Distance apart after four hours = 200 mi - (40 mph)(4 hrs) - (35 mph)(4 hrs)
= 200 mi - 160 mi - 140 mi = -100 mi
The wording of your question implies that the cars will not yet have met after four hours of travel. This negative result is absurd. Please ensure that you have copied down the problem completely and accurately.
A = 6
x^2 + 6x is equal to x(x+6)
b=2
Denominator and numerator of the first term are multiplied by x.
c=6
Second term is multiplied by (x-6)/(x-6)
d=2
Now that they have the same denominator, the two terms are combined. 2 is the coefficient of the first term
e=6
In the same way as d is carried over from b, e is carried over from c.
f = 6
2x - x + 6 = x + 6
g = 1
We factor out the (x+6) from the numerator and denominator
