Answer:
<h3>
Step-by-step explanation:</h3>
The z-value is computed from ...
... z = (x -µ)/σ
... z = (184 -206)/10 = -2.2 . . . . for $184
... z = (200 -206)/10 = -0.6 . . . . for $200
You can look up these values in a normal distribution table, or you can use an appropriate calculator to find the corresponding percentiles.
... -2.2 corresponds to the 1.390 percentile. (That amount of area is below -2.2 standard deviations from the mean.)
... -0.6 corresponds to the 27.425 percentile.
Subtracting the two percentages gives the percentage of expenses between $184 and $200. That number is 26.035% ≈ 26%.
_____
<em>Comment on the calculator display</em>
The difference that got cut off from the display in the attachment is ...
... 0.2603496703
The <em>normalcdf( )</em> function requires a lower limit. Using -8 standard deviations is effectively equivalent to -∞ for this purpose, as any lower number has no effect on the least-significant digits of the result.
Answer:
84 cups of water will leak out after 2 weeks
Step-by-step explanation:
* Lets how many how to change oz to cup
- One cup contains 8 oz
- We can use the ratio to solve this problem
- A hose is leaking water at a rate of 2 oz/h
- We need to find how many cups of water will leak out after 2 weeks
∵ The rate of the water leak out is 2 oz/hr
∵ 1 cup contains 8 oz
∴ 1 oz = 
cup
∴ 2 oz = 2 × = 
= 
cup
∴ The rate of the water leak out = cup/h
∵ 1 day = 24 hours
∵ 1 week = 7 days
∴ 1 week = 7 × 24 = 168 hours
∵ The number of hours in 1 week is 168
∴ The number of hours in 2 weeks = 168 × 2 = 336 hours
⇒ cups : hours
⇒ : 1
⇒ x : 336
- By using cross multiplication
∴ x = 336 ×
∴ x = 84
- x represents the number of cups of water leak out
<em>84 cups of water will leak out after 2 weeks</em>
Answer:
x= -10
Step-by-step explanation:
................
Answer:
what is the question?
Step-by-step explanation:
Answer:
B and F
Step-by-step explanation:
Given
x² + 4x + 4 = 12 ( subtract 4 from both sides )
x² + 4x = 8
Using the method of completing the square to solve for x
add ( half the coefficient of the x- term )² to both sides
x² + 2(2)x + 4 = 8 + 4, that is
(x + 2)² = 12 ( take the square root of both sides )
x + 2 = ± 
( subtract 2 from both sides )
x = ± - 2
= ± 2
- 2
Hence
x = 2 - 2 → B
x = - 2 - 2 → F
