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rosijanka [135]
3 years ago
14

The machine described has standard deviation σ that can be fixed at certain levels by carefully adjusting the machine. What is t

he largest value of σ that will allow the actual amount dispensed to fall within 1 ounce of the mean with probability at least .95?
Mathematics
1 answer:
Gennadij [26K]3 years ago
7 0

Answer:

σ = 0.5102

Step-by-step explanation:

If

Y = volume filled,  

µ = mean

It is a normal distribution

It follows that

0.95 = P (|Y − µ| < 1) = P (|Z| <  1 / σ)

so that

1 / σ = 1.96 ⇒  σ = (1 / 1.96)

⇒  σ = 0.5102.

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bonufazy [111]
First, change one of the equations to an y=x form I'll use the top one for example.
3x-2y=14
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y=-7+(3/2)x
Not that you can show what y is in terms of x, plug in the x side of the equation into the other equation, for y.
x+2(-7+(3/2)x)=10
Now, you can solve for x
x-14+3x=10
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3 0
3 years ago
WILL AWARD BONUS POINTS FOR A GOOD ANSWER! URGENT! Justin's sand castle is 180 cm tall but the wind is blowing away sand at a ra
mote1985 [20]

Answer:

I think around 17 min...

Step-by-step explanation:

there is 60 sec in a minute so divide 60/8 , divide 60/6, then add them together....

60/8= 7.5 and 60/ 6=10

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6 0
4 years ago
Residents of the town of Maple Grove who are connected to the municipal water supply are billed a fixed amount monthly plus a ch
Strike441 [17]

9514 1404 393

Answer:

  • $0.04 per cubic foot
  • c(w) = 0.04w +80
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Step-by-step explanation:

(a, b) We are given two pairs of values:

 (w, c) = (1900, 156) and (2600, 184)

so we can write the equation of the relationship using the 2-point form of the equation of a line.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  c = (184 -156)/(2600 -1900)(w -1900) +156 . . . . . substitute given points

  c = 28/700(w -1900) +156

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The charge per cubic foot is $0.04.

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(c) For a bill of $216, the amount of water used is ...

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  136 = 0.04w

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4 0
3 years ago
What is the length of segment TQ?
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Answer: 14

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We know that \triangle SRV \con \triangle QRV by SAS, so this means QV=SV by CPCTC. Hence, 4x-1 \longrightarrow x=4.

We also know that \triangle STR \cong \triangle QTR by SAS, so this means TS=TQ by CPCTC. Since TS=3x+2=3(4)+2=14, <u>TQ=14.</u>

5 0
2 years ago
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Maybe In a linear equation, the independent variable increases at a constant rate while the dependent variable decreases at a constant rate.
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