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skelet666 [1.2K]
3 years ago
14

A population, with an unknown distribution, has a mean of 80 and a standard deviation of 7. for a sample of 49, the probability

that the sample mean will be larger than 82 is
Mathematics
1 answer:
babymother [125]3 years ago
3 0
Since the distribution is unknown, we have to think of the CLT (Central Limit Theorem):
n = 49

μ(x) = μ →→ μ(x) = μ = 80

σ(x) = σ/(√v) →→ 7/√49 = 7/7 = 1

Z(x) = (X-μ)/[σ(x)]

Z(x) = (82-80) /1
Z(x) = - 2
For Z= - 2, the area (probability) = -0.0228 (from the left)
and due to symmetry this area  is equal in absolute value to the sample larger than 82 (to the right), hence the P(X>82) = 0.228

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MrMuchimi

Answer:

y{x} = \sqrt{7+2Inx}

Step-by-step explanation:

y(x)= 3 + \int\limits^x_e {dx}/ \, ty(t) , x>0}

Let say; By y(x)= y(e)  

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y(e)= 3 + \int\limits^e_e {dt}/ \, ty= 3+0

Using Fundamental Theorem of Calculus and differentiating by Lebiniz Rule:

y^{1} (x) = 0 + 1/ xy

y^{1} = 1/xy  

dy/dx = 1/xy  

\int\limits {y} \, dxy = \int\limits \, dx/x

y^{2}/2 Inx + C

RECALL: y(e) = 3  

(3)^{2} / 2 = In (e) + C  

\frac{9}{2} =In(e)+C  

\frac{9}{2} - 1 = C

\frac{7}{2} = C  

y^{2} / 2 = In x +C

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MULTIPLYING BOTH SIDE BY 2 , TO ELIMINATE THE DENOMINATOR, WE HAVE;

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8 0
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Solve.<br> (2x+24)(4x+36)
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3.3.1. Calculate the new cost per night of the standard and family standard chalets. Round of (4) your answer to the nearest hun
Taya2010 [7]
  • The information to complete the table is given below:
  • Equation that shows the relationship between the cost per night C and the number of people staying in the chalet n:                              C=  4000-100(n-1)

<h3>What is Equation?</h3>

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used in math when you do not know the exact number in a calculation.

Given that:

Pules Rs 4000 per night but will decrease the amount by R100 per person occupying the chalet.

Number of People          Cost per night

          1                                       4000

          2                                       3900

          3                                      3800

          4                                       3700

          5                                       3600

          6                                       3500

          7                                       3400

          8                                       3300

          9                                       3200

          10                                      3100

let C be cost per night and n be the number of people of staying in chalet.

equation:   C=  4000-100(n-1)

      for n=1: C= 4000- 0=4000

            n=2, C= 4000-100(1)= 3900

The graph is attached below:

Learn more about equation here:

brainly.com/question/10413253

#SPJ1

     

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The shape of the distribution of the time required to get an oil change at a 15-minute oil-change facility is unknown. However,
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Answer:

(a) 0.0128 to 4 decimal places

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Step-by-step explanation:

See the attached documents and graphs. Cheers!

Download pdf
<span class="sg-text sg-text--link sg-text--bold sg-text--link-disabled sg-text--blue-dark"> pdf </span>
4de97e6d942fe2c9047a396b82fccba0.png
0b940014a3beda8e854506c0084127b3.png
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