Given that:
5π/3
=5/3×180
=240°
This is in the Quadrant III
The value of cot 5π/3 will be given by:
cost θ=1/tan θ
thus
tan θ
=tan 5π/3
=tan 240
=tan (240-180)
=tan 60
using an equilateral triangle with lengths 2 units
then
tan 60=√3/1
tan 60=√3
hence
tan 240=√3
Answer:
The 85% confidence interval for the mean number of toys purchased each year is (6.7, 6.9).
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
That is z with a pvalue of 
, so Z = 1.44.
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 6.8 - 0.1 = 6.7
The upper end of the interval is the sample mean added to M. So it is 6.8 + 0.1 = 6.9
The 85% confidence interval for the mean number of toys purchased each year is (6.7, 6.9).
Answer:
Step-by-step explanation:
<u>As per graph we observe:</u>
- The y-intercept is 2
- The coefficient is positive as the graph opens up
<u>According to the observations, the equation is:</u>
Correct choice is D
Answer: Slope = -6.000/2.000 = -3.000
x-intercept = 12/3 = 4
y-intercept = 12/1 = 12.00000
Step-by-step explanation:
<span>Answers:
V = (15-2x)(8-2x)x
V = 120x -46x²+ 4x³
V' = 120 -92x + 12x²
0 = 120 -92x + 12x²
x = (92±52)/24
x = 6 or 5/3
Pick x = 5/3
Volume = (15-2*5/3)(8-2*5/3)*5/3
= 90.74 inÂł
To justify x = 5/3 is the max
V" = -92 + 24x
V"(5/3) = -92 + 24(5/3) <0 negative.
Volume V(5/3) is max because the function is
concave down with V"<0.</span>
