Answer:
9/10 < 19/20
Step-by-step explanation:
9/10 and 19/20
2*9/2*10 and 19/20
18/20 < 19/20, so
9/10 < 19/20
Answer:
The equation is 
Step-by-step explanation:
From the question we are told that
The diameter endpoints is (-8, -3, -10) and (-6, 1, -4)
Generally the equation of a sphere with center coordinates (a, b , c ) and radius r is mathematically represented as

Now since we are given the endpoints of the diameter then we can obtain the center coordinates as follows
![(a, b , c) = [ \frac{ -8 +(-6)}{2} , \frac{-3 + (1)}{ 2} , \frac{ -10 + (-4)}{2} ]](https://tex.z-dn.net/?f=%28a%2C%20b%20%2C%20c%29%20%3D%20%20%5B%20%5Cfrac%7B%20-8%20%2B%28-6%29%7D%7B2%7D%20%20%2C%20%20%5Cfrac%7B-3%20%2B%20%281%29%7D%7B%202%7D%20%20%2C%20%5Cfrac%7B%20-10%20%2B%20%28-4%29%7D%7B2%7D%20%5D)
![(a, b , c) = [ -7 , -1.5 , -7 ]](https://tex.z-dn.net/?f=%28a%2C%20b%20%2C%20c%29%20%3D%20%20%5B%20-7%20%2C%20%20-1.5%20%20%2C%20-7%20%5D)
Now the length of the diameter is evaluated as




Now the radius is mathematically represented as



So




Answer:
$120
Step-by-step explanation:
Let the initial value of bond be $X
The future value of any bond is calculated by formula
FV= PV(1+r)^n
where
- FV is future value of bond
- PV is present value of bond
- r is the rate that at which value of bond appreciate
- n is the number of years of maturity
In the problem given
FV= $146
r = 4% = 0.04 (dividing 4 by 100 we get 0.04)
n = 5
substituting these value in formula

PV =$X = $120
Hence current value of bond is $120.
Answer:
Mean = average. Add up all the numbers, divide it by the number of numbers and there you go.
Median is the middlest number, For example 11, 12, 13, 14, 15. The median would be 13.
Mode is the most often number. For example 11, 11, 12, 13, 14, 14, 14, 15. The answer would be 14.
range is subtracting the lowest number from the highest number. For example, 11, 12, 13, 14, 15. The answer would be 4.