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Talja [164]
2 years ago
14

a previous analysis of paper boxes showed that the standard deviation of the length is 9mm. What is the 98% confidence interval

for the average length of a box. How many boxes does he need to measure to be accurate within 3 millimeters.
Mathematics
1 answer:
il63 [147K]2 years ago
6 0
We cannot calculate the confidence interval without the sample size.  However, for the second question, the sample size needed would be 49.

The formula we use is

n=(\frac{z_{\frac{\alpha}{2}}\times \sigma}{E})^2

To find the z-score:
Convert 98% to a decimal:  0.98
Subtract from 1:  1-0.98 = 0.02
Divide by 2:  0.02/2 = 0.01
Subtract from 1:  1-0.01 = 0.99

Using a z-table (http://www.z-table.com) we see that this value is closest to a z-score of 2.33.

Using the z-score, our standard deviation (9) and our margin of error (3), we have:
n=(\frac{2.33(9)}{3})^2=(6.99)^2=48.86\approx 49
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xxMikexx [17]

Answer:

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3 years ago
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puteri [66]

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4 0
2 years ago
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Niagara Falls is made up of three waterfalls. The height of the Canadian Horseshoe Falls is about 188 feet above the lower Niaga
olga2289 [7]

Answer:

  • h(t) = -16t^2 +188
  • 3.4 seconds

Step-by-step explanation:

The usual equation for ballistic motion is ...

  h(t) = -16t^2 +v0·t +s0

where v0 is the initial upward velocity, and s0 is the initial height above some reference point.

Here, we presume there is no initial vertical velocity, and the height is given as 188 ft above the river. Since we want the time to reach the river, we're solving ...

  h(t) = -16t^2 +188

  h(t) = 0

  -16t^2 +188 = 0

  t^2 -11.75 = 0

  t = √11.75 ≈ 3.4

It takes about 3.4 seconds for the log to reach the river.

3 0
3 years ago
In the diagram, GH bisects ZFGI.
shutvik [7]

Answer:

"bisect" means: angle FGH = angle HGI

(3x-3)=(4x-14)

-3+14=4x-3x

x=11

Angle FGH = (3x-3) = 30

Angle HGI = Angle FGH = 30

Angle FGI = 60

Step-by-step explanation:

i think this is right im not sure

5 0
2 years ago
Round 905,154 to the nearest ten thousand
azamat
The answer is 910,154
7 0
3 years ago
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