2x + 9 = 35
We subtract 9 in both sides:
2x + 9 - 9 = 35 - 9
2x = 26
We then divide 2 in both sides:
x = 13
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
10. She isn't tall; that's why she can't reach that shelf.
11. They bought the cheapest computer because they didn't have any more money.
12. You eat too many sweets and that's the reason your clothes don't fit.
13. I went to sleep very late last night because I was so excited.
14. I don't know the answer, that's why I can't help you.
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Pyramids or prisms can have 7 or more vertices.
Answer:
Angle 1 = 38 and angle 4 = 142 degrees.
