Answer:
a) x = 1225.68
b) x = 1081.76
c) 1109.28 < x < 1198.72
Step-by-step explanation:
Given:
- Th random variable X for steer weight follows a normal distribution:
X~ N( 1154 , 86 )
Find:
a) the highest 10% of the weights?
b) the lowest 20% of the weights?
c) the middle 40% of the weights?
Solution:
a)
We will compute the corresponding Z-value for highest cut off 10%:
Z @ 0.10 = 1.28
Z = (x-u) / sd
Where,
u: Mean of the distribution.
s.d: Standard deviation of the distribution.
1.28 = (x - 1154) / 86
x = 1.28*86 + 1154
x = 1225.68
b)
We will compute the corresponding Z-value for lowest cut off 20%:
-Z @ 0.20 = -0.84
Z = (x-u) / sd
-0.84 = (x - 1154) / 86
x = -0.84*86 + 1154
x = 1081.76
c)
We will compute the corresponding Z-value for middle cut off 40%:
Z @ 0.3 = -0.52
Z @ 0.7 = 0.52
[email protected] < x < [email protected]
-.52*86 + 1154 < x < 0.52*86 + 1154
1109.28 < x < 1198.72
Answer:
x = 1&16
Step-by-step explanation:
f(x) = 0 then
0 =x^2 - 17x + 16
(x-1)(x-16) =0
x -1 =0 or x-16=0
x =1 & x = 16
Answer:
45+10x = y
Step-by-step explanation:
$45 -- stays the same no matter what so that's constant.
$10 -- this varies dependent on the number of vaccinations your dog needs, so you'd use a variable to represent the number of vaccinations (in this case I'm using variable "x").
So, for example if your dog needed 7 vaccinations, it would be: 45+10(7) = y -- answer being $115.
1,000,000 is 1,000 times greater then 1,000
Step-by-step explanation:
If you multiply 1,000x1,000 you'll get an answer of 1,000,000
Therefore, 1,000,000 is going to be 1,000 times greater
Answer:
6 hours
Step-by-step explanation:
all you do is 10 divided by 6 then 0 -3-3-6-6-5-6 and you gt 10
