Answer:
length = 56.33 inches
width =120.64 inches
Step-by-step explanation:
answer attached
Area of the base and the top :(4x7) + (4x7) = 56
Lateral area of the front & the back = (4x12) + (4x12) = 96
Lateral area of the right & left = (7x12) + (7x12) = 168
TOTAL AREA = 56+96+168 = 320
Volume = 4x7x12 = 336
RATIO AREA/VOLUME = 320/336 . Simplify by dividing numerator and denominator by 16. Final result: AREA/VOLUME = 20/21
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.
Answer:
m<1 = 121°
m<2 = 59°
Step-by-step explanation:
If m<1 is the supplement of m<2 and the measure of each angle is given:
m<1=2x+65
m<2=3x-25
Find m<1:
When two angles are supplement of each other, there sum is equal to 180°
i.e m<1 + m<2 = 180°
Putting values and finding angle 1

So, we get x=28
Now finding m<1 by putting x=28

Now, finding m<2 by putting x=28

So, we get:
m<1 = 121°
m<2 = 59°