Answer: The point estimate for the mean is <u>2.59</u> and the margin of error is <u>0.13</u> .
Step-by-step explanation:
The confidence interval for population mean is given by :-
, where E is the margin of error .
Given : At the end of one year, the store used the weekly sales information to construct a 95% confidence interval for the mean number of emeralds sold per week.
The confidence interval they calculated was (2.46,2.72) .
The lower limit of the confidence interval : 
(1)
The upper limit of the interval : 
(2)
Adding (1) and (2) , we get
Now, Subtracting (1) from (2) , we get
Hence, the point estimate for the mean is 2.59 and the margin of error is 0.13 .
The larger number is 5.
<u><em>Explanation</em></u>
Lets assume, the larger number is 
and the smaller number is 
As the sum of two numbers is 9, so...
Now, the sum of their squares is 41, so....
First, solving equation (1) for ....
Now, plugging this into equation (2) , we will get...
If 
then 
So, the larger number is 5.
<span>An angle whose vertex is the centre of a circle and whose
sides pass through a pair of points on the circle is called a
</span>
central angle. The following symbol, pronounced “theta”, is
<span>
used to represent a central angle: .
</span>
Each central angle forms an arc length between the points
<span>
that it passes through on the circle.
The arc length of a circle can be found by first calculating
what fraction of the circle is represented by the central angle.
Then you find the circumference of the circle. Finally, you find
the fraction of that circumference.
For example, if a circle has a radius of 10.0 cm and a central
angle of 60°, to calculate the arc length for that angle we must
first determine what fraction of the circle is represented by the
central angle 60°. Since there are 360° in a full circle, we can
find the fraction of a circle by simplifying ; The
sector represents of the circle.
To find the arc length, we now need to find the circumference
</span>
of the circle. Circumference of a circle is equal to 2 r.
C 5 2 r
5 2 10.0
<span>
62.8 cm
The circumference of this circle is about 62.8 cm. To find the
arc length, we need to find of 62.8 cm.
62.8 10.5 cm
The arc length formed by this central angle is about 10.5 cm.
</span><span>
</span>
F(x)= 2(4)-12
F(x)= 8-12
-4 is the answer
If it is supposed to say <span>seven more bunches of tulips than roses, that would mean, if there are 35 bunches in all, and if each bunch had 12 of the same flowers.... that must mean each bunch had 12 flowers so, 12*1/2/35. 35/1/2 would be 35/0.5 that would equal... 17.5. so, 12*17.5= 210. if there was seven more added, than, 7/2= 3.5 and 12*3.5= 42. 210+42=252.
That means there are 252 tulips, i might be wrong (i probably am), i am just going by logic, lol
</span>
