Hello!
Throughout this problem, we will add or subtract values from our original balance.
In your checkbook, there was 298.72 dollars, and then you deposited 425.69 dollars. The function you would do is addition.
$298.72 + 425.69 = $724.41
If you wrote a check, then the amount you wrote is removed from your checkbook.
$724.41 - $29.72 - $135.47- $208.28 = $350.94
Then, the bank deducted 5 dollars from your account.
$350.94 - $5.00 = $345.94
This leaves you with $345.94 at the end of the week.
Therefore, your answer is choice C, $345.94.
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:
.
Step-by-step explanation:
We know that if two corresponding sides of two triangles are equal, then third sides of the triangles depend on angle between equal sides.
Angle opposite to larger side is larger.
Since, 14 < 15, therefore
...(1)
We know that, angle can not not negative.
...(2)
From (1) and (2), we get
Therefore, the range of values of x is .
Th equation would be y=6x. Bruce unloads 6 boxes in 1 minute, so that would be your unit rate. X represents how many minutes he takes to unload the boxes, so for each minute Bruce unloads 6 boxes.