The slope is 2.
hope I helped.
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
(-3x)⁴
Basically, just do this :
(-3x) × (-3x) × (-3x) × (-3x)
So now you have 9x² × 9x²
9 × 9 = 81
x² × x² = x⁴
So, your answer is 81x⁴
~Hope I helped!~
The ordered pair that is the best estimate for the solution of the system of equations is (7, 1/2)
The given system of equations is:
Equate equations (1) and (2)
Solve for x in the equation above
Substitute x = 7 into equation (1)
The ordered pair that is the best estimate for the solution of the system of equations is (7, 1/2)
Learn more on system of equations here: brainly.com/question/13729904
Given:
• AD = 3
,
• DC = 27
,
• BD = x + 3
Let's solve for x.
To solve for x, apply the altitude formula:
Where BD is the altitude.
Cross multiply:
Plug in the values and solve for x:
Take the square root of both sides:
Therefore, the value of x is 6 .
ANSWER:
d. 6
