The shape with the most area with the smallest perimiter is the circle
first find the radius
then find the circumfernece(permiter)
so
area=64
shape=circle
area of circle=pi times r^2
pi times r^2=64
divide both sides by pi (aprox 3.141592)
r^2=20.3718
square root both sdies
r=4.5
circumference=2pi times r
2 times 3.141592 times 4.5=28.36
perimiter is 28.36
Answer:
85
Step-by-step explanation:
Note the mother is 3x his age when he is 25 years old. Multiply 3 with 25:
3 x 25 = 75
Ten years pass (35 - 25 = 10). Add 10 to 75:
75 + 10 = 85
When the man is 35 years old, his mother will be 85 years old.
~
Answer:
The value of the test statistic ![z = -0.6606](https://tex.z-dn.net/?f=z%20%3D%20-0.6606)
Step-by-step explanation:
From the question we are told that
The high dropout rate is
% ![= 0.061](https://tex.z-dn.net/?f=%3D%200.061)
The sample size is ![n = 1000](https://tex.z-dn.net/?f=n%20%3D%201000)
The number of dropouts ![x = 56](https://tex.z-dn.net/?f=x%20%3D%2056)
The probability of having a dropout in 1000 people ![\= x = \frac{56}{1000} = 0.056](https://tex.z-dn.net/?f=%5C%3D%20x%20%20%3D%20%5Cfrac%7B56%7D%7B1000%7D%20%20%3D%20%200.056)
Now setting up Test Hypothesis
Null ![H_o : p = 0.061](https://tex.z-dn.net/?f=H_o%20%3A%20%20p%20%3D%200.061)
Alternative
The Test statistics is mathematically represented as
![z = \frac{\= x - p}{\sqrt{\frac{p(1 -p)}{n} } }](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7B%5C%3D%20x%20-%20p%7D%7B%5Csqrt%7B%5Cfrac%7Bp%281%20-p%29%7D%7Bn%7D%20%7D%20%7D)
substituting values
![z = \frac{0.056 - 0.061}{\sqrt{\frac{0.061(1 -0.061)}{1000} } }](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7B0.056%20-%200.061%7D%7B%5Csqrt%7B%5Cfrac%7B0.061%281%20-0.061%29%7D%7B1000%7D%20%7D%20%7D)
![z = -0.6606](https://tex.z-dn.net/?f=z%20%3D%20-0.6606)
Answer:
![0.08](https://tex.z-dn.net/?f=0.08)
Step-by-step explanation:
Given : 8%
To find the decimal value of the percentage number
Remove the percentage symbol with 100 in the denominator
gives
![\frac{8}{100}\\](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B100%7D%5C%5C)
Now taking the numerator to the decimal place equal to the number of zeros in the denominator or simply divide denominator with numerator.
Gives = ![0.08](https://tex.z-dn.net/?f=0.08)
So, the decimal equivalent of the given value is ![0.08](https://tex.z-dn.net/?f=0.08)