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
Well a yard is 3 ft
so divide 3 into 13
3 goes into 13 4 times and you get 12
you have 4 whole yards and 1 ft left or 1/3 of a yard.
:) hoped this helped
Answer:
Step-by-step explanation:
Remark
The editor must have brackets put around the denominator when there are 2 terms.
That means I think the question is (√5) / (√8 - √3). If this is incorrect, leave a note.
To rationalize the denominator, you must multiply numerator and denominator by the conjugate (√8 + √3).
Solution
√5 * (√8 - √3) / ( (√8 - √3) * (√8 + √3) )
I don't think there is any point in removing the brackets in the numerator. Just leave it.
The denominator is a different matter.
denominator = ( (√8 - √3) * (√8 + √3) )
√8 * √8 = 8
√8 * √3 = √24
- √3 * √8 = - √24
-√3 * √3 = - 3
Take a close look at the 2 middle terms. They cancel out because one of them is plus and the other minus.
What you are left with is 8 - 3 = 5
So the final answer is
√5 * (√8 - √3)
=============
5
Answer:
11 ft
Step-by-step explanation:
The midsegment is 1/2 of the top and bottom segments
1/2(8+14)
1/2(22) = 11
