Answer:
<h2>x² = -3</h2>
Step-by-step explanation:
In algebra, the goal is always to isolate the variable, so its value can be determined.
<h3>Step 1: Subtract 21</h3>
7x² = -21
<h3>Step 2: Divide by 7</h3>
x² = -3
<h3>Step 3: Check</h3>
7(-3) + 21 = 0
0 = 0 ✔
<h3>Step 4: Answer</h3>
x² = -3
I'm always happy to help :)
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: Ken Earned 81$
Step-by-step explanation: Subtract 12 from the total, then divide by 2 because his wife earns double than him, plus 12$ more.
Have a good day :)
Answer:
B
Step-by-step explanation:
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