Answer:
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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
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-.52*86 + 1154 < x < 0.52*86 + 1154
1109.28 < x < 1198.72
Answer:
162 pieces
Step-by-step explanation:
Andrea has 18 yards
How many 4 inch pieces can she get?
Convert
1 yard = 3 feet
18 yards = 54 feet
1 foot = 12 inches
54 feet = 648 inches
Divide
648 inches ÷ 4 inches = 162 pieces
Hope this helps :)
Answer:
The rate of the runner is 3.5 meters per second.
Step-by-step explanation:
To get this answer in meters per second, we first have to convert each of the terms into either meters or seconds. We can do that by multiplying by unit rates.
21 km * 1000 = 21,000 meters
1 hour * 3600 = 3,600 seconds
40 minutes * 60 = 2,400 seconds
Now we divide the meters by the total number of seconds to get the rate.
21,000 meters / (3,600 + 2,400) secs
21,000 meters / 6,000 secs
3.5 meters per second.
To evaluate 4y/x for x=8 and y=0 we shall have:
4y/x=(4×0)/8
=0/8
=0
Answer; 0
