Answer: 66s + 180
How:
17 s ^ { 1 } 2 + 32 s + 180
Calculate s to the power of 1 and get s.
17s\times 2+32s+180
Multiply 17 and 2 to get 34.
34s+32s+180
Combine 34s and 32s to get 66s.
Final answer should be 66s + 180
The volume of cylinder formula is πr²h.
V = π(12)²(9)
V = 1296π³
So the correct answer is 1296π³
Answer:
a) 0.4121
b) $588
Step-by-step explanation:
Mean μ = $633
Standard deviation σ = $45.
Required:
a. If $646 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount?
We solve using z score formula
= z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
For x = $646
z = 646 - 633/45
z = 0.22222
Probability value from Z-Table:
P(x<646) = 0.58793
P(x>646) = 1 - P(x<646) = 0.41207
≈ 0.4121
b. How much should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.16? (Round your answer to the nearest dollar.)
Converting 0.16 to percentage = 0.16 × 100% = 16%
The z score of 16%
= -0.994
We are to find x
Using z score formula
z = (x-μ)/σ
-0.994 = x - 633/45
Cross Multiply
-0.994 × 45 = x - 633
-44.73 = x - 633
x = -44.73 + 633
x = $588.27
Approximately to the nearest dollar, the amount should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.16
is $588
Answer:
The measures of the angles are 85 and 95 degrees each.
Step-by-step explanation:
Two angles are supplementary when they add up to 180 degrees.
Therefore, set up an equation and solve for the variable x in the first place.
(8x-3)+(7x+18)=180
8x-3+7x+18=180
8x+7x-3+18=180
15x-3+18=180
15x+15=180
15x=165
x=165/15
x=11
Angle 8x-3=8(11)-3=88-3=85.
Angle 7x+18=7(11)+18=77+18=95.
The time duration between 9:30 AM and 12:00 PM is 2.5 hours.
From the graph, we want the diameter, d, to be 1 cm when the time, t, is 2.5 hours.
Graph A yields d = 1.0 when t = 2.5. CORRECT
Graph B yields about d = 0.6 when t = 2.5. INCORRECT
Graph C yields about d = 0.48 when t = 2.5 INCORRECT
Answer: The bacteria is in sample A.
