Answer:
x=17
Step-by-step explanation:
3x-24=x+10
Carry over the like terms and put them together. Make the unknowns which are x the subject.
3x-x= 24+10
2x= 34
2x= 34/2
x= 17
Answer:
a) 0.3585
b) 0.6415
c) 0.07548
Step-by-step explanation:
This is a binomial distribution problem
Binomial distribution function is represented by
P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
n = total number of sample spaces = 20
x = Number of successes required
p = probability of window frame with minor defect = 0.05
q = probability of window frame with no defect = 1 - 0.05 = 0.95
a) Probability that none of the frames picked will have defects
x = 0
P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
P(X = 0) = ²⁰C₀ 0.05⁰ 0.95²⁰⁻⁰ = 0.3585
b) Probability that At least one will need adjustment = P(X ≥ 1) = 1 - P(X < 1) = 1 - P(X = 0) = 1 - 0.3585 = 0.6415
c) Probability that More than two will need adjustment = P(X > 2)
P(X > 2) = 1 - P(X ≤ 2) = 1 - [P(X = 0) + P(X = 1) + P(X = 2)]
So, we evaluate each of that using the binomial distribution formula, slotting in the appropriate variables, and sum it all up.
P(X > 2) = 1 - 0.9245 = 0.07548
a)
Gain on disposal=$12,900
b)
Loss on disposal=$5,900
Prepare a tabular summary to show the cost of equipment disposed of, the accumulated depreciation, and gain or loss recorded on disposal?
Note that initially when the equipment was purchased, it would be debited to an asset account, whereas, it would be credited upon disposal since the company no longer owns it.
The accumulated depreciation was originally a credit entry in the balance sheet and needs to be debited now that the equipment has been sold.
Note that the excess of the sum of the accumulated depreciation and the cash received over the initial cost of the equipment is a gain and the reverse means a loss was recorded on disposal.
Account DR CR
Asset $49,600
Gain on disposal $12,900
Accumulated depreciation $24,600
Cash received $37,900
gain on disposal=$24,600+$37,900-$49,600
gain on disposal=$12,900
Account DR CR
Asset $49,600
Accumulated depreciation $24,600
Cash received $19,100
Loss on disposal $5,900
Loss on disposal=$49,600-$24600-$19,100
Loss on disposal=$5,900
Learn more about asset disposal in the link provided below:
brainly.com/question/14542603
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Alright, so first of all, you need to find the area of the circle that is part of the cone-shaped area so you can remove it. You need the formula:
where c = angle. Now plug in the answers, and you get:

.
This would then equal to
.
now, essentially, the shape of this ENTIRE area is of 2 right triangles. Divide 120 by 2, you get 60 degrees. You have 2 60/30/90 triangles (shown in the bottom)
Now, what you need to do is to find the area of the entire thing by using the formula to calculate the right triangle area (A = (1/2)bh). You have
b, which is
6. To find the h, you use
tan(60) = x/6, which gives you

.
The area of one right triangle of this size would be =

Because 2 right triangles, multiply the area by 2 and get:

Now, remember the area of that circle in that total area? subtract it from the total area (

) by 12pi and you get 24.65.
The final answer is 24.65
Answer:
(8 ,2)
Step-by-step explanation:
hopefully this will help