Answer:
- NOT a function
- domain: [-2, 2]
- range: [-4, 4]
Step-by-step explanation:
A vertical line intersects the graph twice, so the relation is not a function. It is only allowed to intersect once if the relation is a function.
The domain is the horizontal extent, which is from -2 to +2.
The range is the vertical extent, which is -4 to +4.
Answer:
(2)(120)(80) + (2)(120)(50) - (4)(60)(5²)
Step-by-step explanation:
The lateral faces of the building are the 4 sides of the building consisting:
2 rectangles of 120 ft by 80 ft
Area of the two rectangular faces = (2)(120)(80)
And
2 rectangles of 120 ft by 50 ft
Area of the two rectangular faces = (2)(120)(50)
✔️Total lateral surface area of the building = (2)(120)(80) + (2)(120)(50)
Note: we are asked to find the expression that represents the total surface area that needs to be painted given that there are 60 windows on each lateral face of the building of the shape of a square with side lengths of 5 ft.
Therefore, the total lateral surface area of the building that will be painted = total lateral surface of the building - total area covered by the 60 windows on each face of the building
Surface area covered by 60 windows in the 4 lateral face of the building = (4)(60)(5²)
✅total lateral surface area of the building that will be painted = (2)(120)(80) + (2)(120)(50) - (4)(60)(5²)
Answer:
option (a) $6,240
Step-by-step explanation:
Given:
Purchasing cost of the equipment = $82,000
Estimated life = 5 years
Salvage value = $4,000
Revised expected life = 8 years
Now,
Depreciation per year =
therefore,
The accumulated Depreciation at the beginning of year 4
= Annual depreciation × years passed
= 15,600 × 3
= $46,800
Thus,
The book value at the beginning of year 4
= Purchasing cost - Depreciation
= $82,000 - $46,800
= $35,200
Now,
The remaining life = Revised estimated life - Years passed
= 8 - 3
= 5 years
therefore,
Depreciation expense =
=
= $6,240
Hence,
The correct answer is option (a) $6,240
12 lawns/9 hours = 1.33 lawns per hour
The probability that the aircraft is overloaded is 97.98%, which means the pilot should take the action.
In a Normal distribution with mean ц and standard deviation σ, the z-score of a measure x is given by:
Z = X-ц / σ
· It measures how many standard deviations the measure is from the mean.
· After finding Z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
· By the Central Limit Theorem, the sampling distribution of sample means of the size n has standard deviation σ
σ = σ /
σ is standard deviation
n is the sample size.
Given that the mean and the standard deviation of the population is 176.1 lb and 35.4 respectively.
⇒ ц = 176.1 and σ = 35.4
For a sample of 43 passengers, we have
n = 43
σ =
σ = 5.398
Z = X-ц / σ
Z =
Z = -2.05 has p- value of 0.9798
The probability that the aircraft is loaded is
1 - p-value of Z
1 - 0.0202 = 0.9798
The probability that the aircraft is overloaded is 97.98%
Know more about Normal probability Distribution: -brainly.com/question/9333901
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