Answer:
1.66
Step-by-step explanation:
Calculation to find the standard deviation for the random variable X of the number of students who work full time in samples of size
Using this formula
Standard deviation(X)=√np(1−p)
Where,
n represent the number of students=16
p represent the percentage of all students who work full time=22
Let plug in the formula
Standard deviation(X)=√16(0.22)(1−0.22)
Standard deviation(X)=√(3.52)(0.78)
Standard deviation(X)=√2.7456
Standard deviation(X)=1.656
Standard deviation(X)=1.66 (Approximately)
Therefore the standard deviation for the number of students who work full time in samples of size 16 will be 1.66
Answer:
A & B
Step-by-step explanation:
A is spot-on because of the use of distributive property. B by the use of like terms.
Answer:
boiling and melting
Step-by-step explanation:
Answer: C)46 ft
Step-by-step explanation:
We know that the circumference of a circle can be calculated with this formula:
![C=2\pi r](https://tex.z-dn.net/?f=C%3D2%5Cpi%20r)
Where "r" is the radius of the circle.
Since John is putting a fence around his garden that is shaped like a half circle and a rectangle, then we can find how much fencing he needs by making this addition:
![Fencing=\frac{2\pi r}{2}+2l+w](https://tex.z-dn.net/?f=Fencing%3D%5Cfrac%7B2%5Cpi%20r%7D%7B2%7D%2B2l%2Bw)
Where "l" is the lenght of the rectangle and "w" is the width of the rectangle.
Since we know that the radius of the circle is half its diameter, we can find "r". This is:
![r=\frac{7ft}{2}=3.5ft](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B7ft%7D%7B2%7D%3D3.5ft)
Then, substituting values (and using
), we get:
![Fencing=\frac{2(\frac{22}{7})(3.5ft)}{2}+2(14ft)+7ft=46ft](https://tex.z-dn.net/?f=Fencing%3D%5Cfrac%7B2%28%5Cfrac%7B22%7D%7B7%7D%29%283.5ft%29%7D%7B2%7D%2B2%2814ft%29%2B7ft%3D46ft)
Answer:
6
Step-by-step explanation: