Answer:
The 90% confidence interval for the true mean number of reproductions per hour for the bacteria is between 11.2 and 11.6 reproductions.
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 
.
So it is z with a pvalue of 
, so 
Now, find 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 11.4 - 0.2 = 11.2 reproductions.
The upper end of the interval is the sample mean added to M. So it is 11.4 + 0.2 = 11.6 reproductions.
The 90% confidence interval for the true mean number of reproductions per hour for the bacteria is between 11.2 and 11.6 reproductions.
3 inches diameter mean 1,5 in the radius
the height is 6,5 in.
volume of a cylinder = area of base time height
V= pir^2 *h
V = 3,14*1,5^2 *6,5
V = 45,92 in^3
hope helped
Answer:
The shorter side: longer side is 385:512
Step-by-step explanation:
We are given that A man has 166 feet of fencing to build the pen
We are supposed to find If one end is a square, find the outside dimensions, if a = 6.
Side of square = x
Perimeter of square =
a=6
Length of rectangular part = x+a = x+6
Breadth of rectangular part = x
Perimeter of rectangular part = 2(l+b)=2(x+6+x)=2(2x+6)
So, ATQ
4x+2(2x+6)=166
4x+4x+12=166
8x=154
x=19.25
Shorter side = 19.25
Longer side = x+6=19.25+6=25.6
So, the shorter side: longer side =
Hence the shorter side: longer side is 385:512
Answer:
- 8x + 17
Step-by-step explanation:
7(2 - x) - (x - 3)
14 - 7x - x + 3
- 8x + 14 + 3
- 8x + 17
