Answer:
64
in²
Step-by-step explanation:
I did not ever do a problem like this, however this is the beauty of math, you can easily reverse engineer it.
Remember,
A = 
And if we have 4 circles that means the area of one circle is 1/4th the total
So,
A=
Assuming that 16 is the radius squared times 4 lets ignore that squared for now because when going backwards we would get rid of the squared last as that was the first step.
A= 
=
=4
Now lets get it back to by square rooting the 4
A=
=2
The radius of one small circle is 2. Therefore; the diameter would be 4 for each. This in mind we know that two small circles diameters make up the radius of the larger circle we will multiply it by two again.
This gives us a final radius of the bigger circle of 8
Therefore, the area of the bigger circle is 8² which simplifies to 64
And a final answer of
64 in²
Hope this helps :)
Let the required length be x, then
x/25 = 6/(6 + 9)
x/25 = 6/15
15x = 25 x 6
x = 150/15
x = 10
Therefore, the short brace should touch the brace at 10 feet.
Answer:
The value of x = 18
Step-by-step explanation:
Given the data set
- Given that the median of the data is 18.
- We know that the median is the middle number in a data set when the data points are in ascending order.
As the given data is already in ascending order.
- Please observe that the data set has an odd number of data points, meaning that the middle number is the median of the data is 18.
As 'x' is the middle number, thus it represents the median value.
Therefore, the value of x = 18
Answer:
107
Step-by-step explanation:
Given that after a ham is cured it may be smoked to add flavor or to ensure it lasts longer.
Let X be the smoking time . Then X is N(mu, 8)
a) The sample is drawn at random
b) The sample represents the population
c) Sample size is sufficient to represent the population
b)For 99% conf interval z critical is taken since population std dev is given
Z critical = 2.58
Hence confi interval = 
c) As sample sizes are large and samples are randomly drawn, we can be 99% confident that sample mean falls within this interval
d) If margin of error is only 2, then we must have
