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Ulleksa [173]
3 years ago
10

Use the data to answer the following questions: 68, 63, 67, 66, 65, 87, 69, 61, 86, 82, 28

Mathematics
1 answer:
german3 years ago
4 0

Rewrite given data in increasing order:

28, 61, 63, 65, 66, 67, 68, 69, 82, 86, 87

An outlier is an observation that lies an abnormal distance from other values in a random sample from a population.  As you can see that number 28 lies an abnormal distance from other values.

Answer A: 28

The mean (or average) of a set of data values is the sum of all of the data values divided by the number of data values.

\text{mean with outlier}=\dfrac{28+61+63+65+66+67+68+69+82+86+87}{11}=\dfrac{742}{11}=67.454545...\approx67.45.

Answer B: 67.45

\text{mean without outlier}=\dfrac{61+63+65+66+67+68+69+82+86+87}{11}=\dfrac{742}{10}=71.4.

Answer C: 71.4

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Step-by-step explanation:

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We are aware that

(Y_1)^2 and (Y_2)^2 have x^2 distribution with 1 degree of freedom

and V=(Y_1^2)+(Y_2)^2 has x^2 with 2 degree of freedom

F_v(v)=\frac{e^{-\frac{v}{2}}}2

Since we have to find the density formula

U=\sqrt{V}

We use method of transformation

h(V)=\sqrt{U}\\\\=U

There inverse function is h^-^1(U)=U^2

We derivate the fuction above with respect to u

\frac{d}{du} (h^-^1(u))=\frac{d}{du} (u^2)\\\\=2u^2^-^1\\\\=2u

Therefore,

F_v(u)=F_v(h-^1)(u)\frac{dh^-^1}{du} \\\\=\frac{e^-\frac{u^-^}{2} }{2} (2u)\\\\=e^-{\frac{u^2}{2} }U

8 0
3 years ago
400 thousands + 600 thousands in standard form​
ruslelena [56]

Answer: 1 million

Step-by-step explanation:

4 0
3 years ago
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sladkih [1.3K]

Answer:

In one hour Stephanie earns $1.50 more than Marco

Step-by-step explanation:

w=9h

H is a variable

9×hour= wage

9×15= $135

9×18= $162

157.50-135=$22.50

189-162=$27

27-22.50=4.50

Now cause its per hour we know she earns $4.50 more in 3 hours.

4.50÷3=$1.50

8 0
3 years ago
At a supermarket, a 6-ounce bottle of
White raven [17]

Answer:

The 14 oz bottle has the lowest cost per ounce.

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$3.36/14

7 0
3 years ago
A certain substance has a half-life of 4 minutes. A fresh sample of the substance weighing 90 mg was obtained. After how many mi
sveticcg [70]
  • We are to find the time (number of minutes) is would take for 23 mg of the substance to be remaining.

  • The formula for time is written as:

t =  [t1/2 x In(Nt/No)]  / In 2

where:

t1/2 = Half life = 4 minutes

No = Initial quantity of the sample = 90 mg

Nt = Amount of the sample left = 23 mg

t =  time elapsed = ?

Hence,

t = [4 x In (23/90)] / -In 2

t = 7.8731645610906 minutes

Approximately to the nearest hundredth = 7.87 minutes

Therefore, there will be 23mg of substance remaining after 7.87 minutes.

To learn more, visit the link below:

brainly.com/question/16624562

7 0
3 years ago
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