Answer: 68
Step-by-step explanation:
Formula for sample size when prior estimate of population proportion (p) is available: ![n=p(1-p)(\dfrac{z^*}{E})^2](https://tex.z-dn.net/?f=n%3Dp%281-p%29%28%5Cdfrac%7Bz%5E%2A%7D%7BE%7D%29%5E2)
, where z*= critical-value.
E= Margin of error.
Let p be the population proportion of trees are infected with the citrus red mite.
As per given , we have
![p=\dfrac{1}{5}=0.2](https://tex.z-dn.net/?f=p%3D%5Cdfrac%7B1%7D%7B5%7D%3D0.2)
E= ± 0.08
The critical z-value corresponding to 90% confidence level = z*=1.645
Substitute all the values in the above formula , we get
Required sample size :![n=(0.2)(1-0.2)(\dfrac{(1.645)}{0.08})^2](https://tex.z-dn.net/?f=n%3D%280.2%29%281-0.2%29%28%5Cdfrac%7B%281.645%29%7D%7B0.08%7D%29%5E2)
![\Rightarrow\ n=(0.2)(0.8)(20.5625)^2](https://tex.z-dn.net/?f=%5CRightarrow%5C%20n%3D%280.2%29%280.8%29%2820.5625%29%5E2)
[Rounded to next integer.]
Thus, the minimum sample size should be taken =68
Scale factor is given by:
(length of larger figure)/(length of smaller figure)=(width of larger figure)/(width of the smaller figure)=3.4
The length of the larger figure will be given by:
length=(scale factor)*(length of smaller figure)
=3.4*6=20.4 cm
width of the larger figure will be given by:
width=(scale factor)*(width of smaller figure)
=3.4*4.5
=15.3 cm
Therefore the dimension of the new parallelogram will be 20.4 cm by 15.3 cm
Answer:
92511cm3
Step-by-step explanation:
2/3 is 266.66% of 2/4.
(2/3)(1/4)=(2/3)(4/1)=8/3=2 2/3=2.6666=266.66
hope this helps!!
The <em>correct answer</em> is:
interpolating
Explanation:
Interpolation is a method of constructing new data points within the range of a discrete set of known data points.
This would include inserting data points between two known points and extending a data set.