Circumference is Diameter * 3.14
so D * 3.14 = 31.4
31.4 / 3.14 = 10 so the diameter is 10.
the radius is half of the diameter so radius = 5 centimeters.
Answer:
The proportion of memory sticks that will be scrapped is 0.3 = 30%.
Step-by-step explanation:
Uniform probability distribution:
An uniform distribution has two bounds, a and b.
The probability of finding a value of at lower than x is:
The probability of finding a value between c and d is:
The probability of finding a value above x is:
Distributed uniformly between 3mm and 13 mm.
This means that ![a = 3, b = 13](https://tex.z-dn.net/?f=a%20%3D%203%2C%20b%20%3D%2013)
Calculate the proportion of memory sticks that will be scrapped:
![P(X > 10) = \frac{13 - 10}{13 - 3} = \frac{3}{10} = 0.3](https://tex.z-dn.net/?f=P%28X%20%3E%2010%29%20%3D%20%5Cfrac%7B13%20-%2010%7D%7B13%20-%203%7D%20%3D%20%5Cfrac%7B3%7D%7B10%7D%20%3D%200.3)
The proportion of memory sticks that will be scrapped is 0.3 = 30%.
Answer:
3
Step-by-step explanation:
-(4)+7=3
plug in 4 for d and since it is -d it would be -4
7-4=3
Answer:
![(\frac{37}{11},\frac{77}{11} )](https://tex.z-dn.net/?f=%28%5Cfrac%7B37%7D%7B11%7D%2C%5Cfrac%7B77%7D%7B11%7D%20%20%29)
Step-by-step explanation:
Given two points are (-1,7) and (7,7).
We are told to find a point which is in between them at a ratio of 6:5.
Formula for calculating a point at distance of ratio m:n is given by
![(\frac{mx2+nx1}{m+n} ,\frac{my2+ny1}{m+n} )](https://tex.z-dn.net/?f=%28%5Cfrac%7Bmx2%2Bnx1%7D%7Bm%2Bn%7D%20%2C%5Cfrac%7Bmy2%2Bny1%7D%7Bm%2Bn%7D%20%29)
where
are the inital and final points.
![(x1,y1)=(-1,7)\\\\(x2,y2)=(7,7)](https://tex.z-dn.net/?f=%28x1%2Cy1%29%3D%28-1%2C7%29%5C%5C%5C%5C%28x2%2Cy2%29%3D%287%2C7%29)
also m:n=6:5 ,
by substituting all the values we get,
![(\frac{6*7+5*-1}{11} ,\frac{6*7+5*7}{11} )](https://tex.z-dn.net/?f=%28%5Cfrac%7B6%2A7%2B5%2A-1%7D%7B11%7D%20%2C%5Cfrac%7B6%2A7%2B5%2A7%7D%7B11%7D%20%29)
![(\frac{37}{11},\frac{77}{11} )](https://tex.z-dn.net/?f=%28%5Cfrac%7B37%7D%7B11%7D%2C%5Cfrac%7B77%7D%7B11%7D%20%20%29)
X² - 8x + y² = 9
(x² - 8x + 16) + y² = 9 + 16
(x - 4)² + y² = 25
(x - 4)² + y² = 5²
he radius is equal to 5.