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andre [41]
3 years ago
14

On the basis of extensive tests, the yield point of a particular type of mild steel-reinforcing bar is known to be normally dist

ributed with σ = 100. the composition of the bar has been slightly modified, but the modification is not believed to have affected either the normality or the value of σ.
Mathematics
1 answer:
KiRa [710]3 years ago
6 0
1) The formula used for determining the confidence interval is
Sample mean +/- Critical value (or z-score corresponding to 90% confidence) * Standard
error of mean
8439 +/- 1.645 * 100/sqrt 25
8439 +/- 1.645 * 20
8439 +/- 32.9
2) The only difference in this case is finding the critical value i.e., z-score corresponding to 92% confidence which is 1.75 approximately
Then the confidence interval is
8439 +/- 1.75 * 100/sqrt 25
8439 +/- 1.75 * 20
8439 +/- 35
Lower limit is 8439 - 35 = 8404
The upper limit is 8439 + 35 = 8474
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<h2>False</h2>

<h2>the solution is ( - 5 , 1 )</h2>
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2 years ago
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What is t in 197sin(12t)=141
spayn [35]

Answer:

  t ≈ 0.0664731

Step-by-step explanation:

Use the inverse sine function.

  sin(12t) = 141/197

  12t = arcsin(141/197)

  t = arcsin(141/197)/12

  t ≈ 0.0664731 . . . . . . . radians

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This is the principal value. There are other solutions at values of t that have integer multiples of π/6 added to this. There are also solutions where any of those values is subtracted from π.

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In general, angles in math are assumed to be in radians, unless specified otherwise. This angle corresponds to about 3.81°. (In geometry, the usual assumption is that angles are measured in degrees.)

6 0
3 years ago
"Shaquille, Lyle, and Amanda collect stamps. Shaquille has one-half the number of stamps that Lyle has. Amanda has two-thirds as
AnnZ [28]

Answer:

112 stamps

Step-by-step explanation:

Shaquille and Amanda's stamps are described in terms of Lyle's, so:

Lyle's = 6x                     6x+3x+2x=364

Shaquille's = 3x                       13x=364

Amanda's = 4x                            x=28

Lyle has 168 stamps, Shaquille has 84, and Amanda has 112. 168+84+112=364

6 0
3 years ago
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If k(x) = 5x – 6, which expression is equivalent to (k + k)(4)?
borishaifa [10]
(k + k)(4) =
5x - 6 + 5x - 6 = 10x - 12 =
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7 0
3 years ago
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You decide finance a $12,000 car at 3% compounded monthly for 4 years. What will your monthly payments be? How much interest wil
dexar [7]

Answer:

Step-by-step explanation:

The cost of the car is $12,000

We would apply the periodic interest rate formula which is expressed as

P = a/[{(1+r)^n]-1}/{r(1+r)^n}]

Where

P represents the monthly payments.

a represents the cost of the car

r represents the interest rate

n represents number of monthly payments. Therefore

a = 12000

r = 3%/12 = 0.03/12 = 0.0025

n = 12 × 4 = 48

Therefore,

P = 12000/[{(1+0.0025)^48]-1}/{0.0025(1+0.0025)^48}]

12000/[{(1.0025)^48]-1}/{0.0025(1.0025)^48}]

P = 12000/{1.127 -1}/[0.0025(1.127)]

P = 12000/(0.127/0.0028175)

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The monthly payment is $266.22

The total amount that would be paid over the life of the loan is

266.22 × 48 = $12778.56

The amount of interest paid is

12778.56 - 12000 = $778.56

3 0
3 years ago
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