Smoking males in a given area have a mean life expectancy of 68.5 years, with a standard deviation of 5.3 years. The distribution of life expectancy is not assumed to be symmetric.

Between what two life expectancies does Chebyshev's Theorem guarantee that we will find at least 89% of smoking males?

Round your answers to the nearest tenth. Enter the bounds in ascending order.

Answers

Answer 1

Answer:

52.6, 84.4

Step-by-step explanation:

Smoking Males In A Given Area Have A Mean Life Expectancy Of 68.5 Years, With A Standard Deviation Of
Answer 2

Chebyshev's Theorem guarantee that we will find at least 89% of smoking males in the life expectancy range [52.6, 84.4].

What is Chebyshev's inequality?

In probability theory, Chebyshev’s inequality guarantees that, for a wide class of probability distributions, no more than a certain fraction of values can be more than a certain distance from the mean.

Let X be a random variable with mean μ with a finite variance σ², then for any real number k > 0, P(|X-μ| < kσ) ≥ 1-1/k².

Given,

Mean life expectancy = μ = 68.5 years

Standard deviation = σ = 5.3 years

P(|X-μ| < kσ) ≥ 1-1/k²

P(|X-68.5| < 5.3k) ≥ 1-1/k²

P(|X-68.5| < 5.3k) ≥ 0.89

[tex]1 - \frac{1}{k^{2} } = 0.89[/tex]

[tex]\frac{1}{k^{2} } = 0.11\\ \\\frac{1}{k^{2} } = \frac{1}{9} \\\\k = 3[/tex]

Between the following two life expectancies does Chebyshev's Theorem guarantee that we will find at least 89% of smoking males:

= [μ - 3σ, μ + 3σ]

= [68.5 - 3*5.3, 68.5 + 3*5.3]

= [52.6, 84.4]

Learn more about Chebyshev's inequality here

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Related Questions

Please solve this problem tnx....​

Answers

Answer:

27.50

Step-by-step explanation:

Since it is 16.50 each and they bought 5 packets total an easy way to solve this problem would be that you multiply 16.50 × 5 which will give you how much the total cost of the candy would be:

16.50 × 5 = 82.50

Since that is the total amount you would then divide 82.50 by 3 since Mary and her friends all split the cost three ways (since there are three of them):

82.50 ÷ 3 = 27.50

Which will give you your answer.

Translate the expression: Four-fifths of the sum of 4 and y (pls hurry it's timed)​

Answers

[tex]\frac{4}{5}(4+y)[/tex]

63 Avec un octogone
e
E
Dans la figure ci-dessous, ABCD est un carré de côté
12 cm et les segments de même longueur sont codés.
А
В 8.
DN M C
1. Justifier que les triangles API, JBK, ODN et MCL sont
des triangles égaux.
2. Calculer JK puis dire si l'octogone est un
octogone régulier
3. Calculer l'aire Un octogone regulier
de l'octogone
est un polygone à 8 côtés
IJKLMNOP
dont tous les côtés sont
de même longueur.
4.Les diagonales
du carré ABCD se coupent en S.
Construire la figure en vraie grandeur et tracer le
cercle de centre S et de diamètre 12 cm.
5.Le disque de centre S et de diamètre 12 cm a-t-il
une aire supérieure à l'aire de l'octogone? Justifier
la réponse.
D'après DNB Métropole, 2010
Prisen​

Answers

Answer:

sorry

Step-by-step explanation:

I don't know ........

pls help the question is in the picture

Answers

The answer to this question is A. i think

4/5 divided by 5 1/2

Answers

Answer:

8/55

Step-by-step explanation:

4/5 DIVIDED 5 1/2 = 8/55

Answer 8/55 he is right

For what value of the constant c is the function f continuous on
(−∞,∞) where

f(b) = { cb + 9 if b ≤ 3
c(b)² − 9 if b > 3

Answers

9514 1404 393

Answer:

  c = 3

Step-by-step explanation:

In order for the function to be continuous at b=3, the left and right limits must be the same. In short, we must have ...

  c(3) +9 = c(3²) -9

  18 = 6c . . . . . . . . add 9-3c to both sides

  3 = c . . . . . . . . . . divide by 6

Function f is continuous when c=3.

How many fourths are in 3 fourths?​

Answers

Answer:

12 one fourths

Step-by-step explanation:

Answer:

12 one fourths

Step-by-step explanation:

There 3 × 1 1/4 = 3 × 4 = 12 one fourths in 3

1. (-78) + (-98) =
2. (+45) + (+23) =
3. (+67) + (-56) =
4. (98) + (-73) =
5. (-971) + (+237) =​

Answers

Answer:

1.-179

2.68

3. 11

4. 25

5. -734

Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

[tex] x = \frac{2*\sqrt{3}}{3} [/tex]

Step-by-step explanation:

Reference angle = 30°

Opposite side = x

Adjacent side = 2

Apply the tan trigonometric function, thus:

[tex] tan (30) = \frac{opp}{adj} [/tex]

[tex] tan (30) = \frac{x}{2} [/tex]

[tex] 2 * tan (30) = x [/tex]

[tex] 2 * \frac{1}{sqrt{3}} = x [/tex] (tan 30 = 1/√3)

[tex] \frac{2}{sqrt{3}} = x [/tex]

Rationalize

[tex] \frac{2* \sqrt{3}}{sqrt{3} * \sqrt{3}} = x [/tex]

[tex] \frac{2*\sqrt{3}}{3} = x [/tex]

HELP ME PLS ASAP PLS PLZ

Answers

Answer:

11.5x 4.5-8 wayy easier all you do is add and multiply

pls solve this i cannot do it​ find x y z in the above

Answers

Answer:

x = 115

z= 40

y = 140

Step-by-step explanation:

x = 180 - (40 +25) = 115

z = 180 - (115+25) = 40

y = 180 - (40) = 140

Answer:

This is your answer!!!

Step-by-step explanation:

I attached a pic.

Hope it helps!!!

This circle graph shows how a college student breaks down her study time
in typical week. If the student spends 40 hours per week studying, how
much time is spent studying Math and French.
French, 23%
English, 11%
Art, 14%
Math, 21%
History, 31%

Answers

17.6 hours

23 + 21 = 44

40 x 0.44 = 17.6

Brandon buys a radio for $45.09 in a state where the sales tax is 7%. How much does he pay in taxes? If necessary round to the nearest cent

What is the total Brandon pays for the radio?

Answers

Answer:

Step-by-step explanation:

tax = 7% of $45.09 = 0.07×$45.09 ≅ $3.16

Total cost = $45.09 + $3.16 = $48.25

Can only like terms be combined?​

Answers

Answer:

yes

Step-by-step explanation:

only like terms can be combined

Answer:

yes. If it's variables, then only like variables can be combined. If it's fractions, then they must be converted to a common denominator before combining.

Step-by-step explanation:

Help please. 4. Solve for x.

Answers

Its c................

55% of what number is 1100? Which of the following proportions could be used to
solve this problem?

Answers

Answer:

1100

55100=1100 x 55100

=1100x

Step-by-step explanation:

Hope it is helpful...

The required value of unknown number a would be 2000.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

WE need to determine 55% of what number is 1100.

Let the unknown number is a. then we get;

55% of a = 1100

55/100 of a = 1100

55/100 x a = 1100

Cross mulitiplication, we get;

55a = 1100 x 100

55a = 110000

Divide by 55, we have;

a = 110000/ 55

a = 10000/ 5

a = 2000

Therefore, the required value of unknown number a would be 2000.

More can be learned about proportions at;

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Determine the graph that represents a function.

Answers

3rd one there cant be anything under or over a line so it cant be the circle or the parabola so it has to be the 3rd one
the function would be the third graph. to find out if a graph is a function do something called a vertical line test. basically take a pencil or something straight and out it vertically against the graph then push it along the graph. at each given point there should only be one point. so the first two would not pass the vertical line test

what is x + 3 1/2 = 9

Answers

Answer:

Step-by-step explanation:

x+3 1/2=9

x=9-7/2

x=(18-7)/2=11/2

x=5 1/2

Answer:

3 1/2 + 5 1/2= 9.

Step-by-step explanation:

Hope this helps? im sorry if it doesn't :)

Please help ASAP if you know how. Thanks so much

Answers

Answer:

A.6.21

Step-by-step explanation:

A=2, b=-10, c=-5

To the nearest 10th, find the measure of the missing side.


Answers

Answer:

[tex]x = 30.7[/tex]

Step-by-step explanation:

Given

See attachment

Required

Find x

To find x, we make use of:

[tex]cos(\theta) = \frac{Adjacent}{Hypotenuse}[/tex]

In this case, it is:

[tex]cos(36) = \frac{x}{38}[/tex]

Multiply both sides by 38

[tex]38 * cos(36) = \frac{x}{38}*38[/tex]

[tex]38 * cos(36) = x[/tex]

[tex]38 * 0.8090= x[/tex]

[tex]30.742= x[/tex]

[tex]x = 30.742[/tex]

[tex]x = 30.7[/tex] -- approximated

HALPPPPP!!
The equation of direct proportion y=kx is given by the table. Find the coefficient k, copy the table and fill it in

Answers

Answer:

20,2,0,-4,-.0625

Step-by-step explanation

3*-4=-12

depending on which side its on you can multiply or divide by -4

K= -4

Question 2 1 pts Asplaner has three sections colored green, purple, and pink. If the spinner is spun three times, how many possible outcomes are there!​

Answers

Answer:

27

Step-by-step explanation:

The Counting Principle states that the number of possible outcomes is equal to the product of the number of outcomes for each event. In this case, (M)(N)(O).

There are 27 possible outcome if the spinner is spun three times.

What is probability?

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given, A spinner has three sections colored green, purple, and pink.

From the general formula of probability:

Probability = (desired outcomes)/(Total outcomes)

In our case,

the three possible outcomes of this event occurring are Green, Purple, and Purple, Green.

The desired outcomes = 3

The total outcomes = 3 x 3 x 3 = 27

Learn more about probability here:

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please help i will mark brainliest if you are right

Answers

Answer:

56

Step-by-step explanation:

Range is difference between greatest and least. This is 97 - 41 = 56

A movie started at 2:30 PM. and ran for 1 Hour and 45 minutes.What time did the movie end?

Answers

Answer:

The movie ended at 4:15 PM

Step-by-step explanation:

=> It started at 2:30, when you add an hour to that it will become 3:30

=> Then you must add the 45 minutes to it

=> so it will be 3:75, however that is not a right answer and it is not logical

=> so you need to add the first 30 minutes which will give you 4:00

=> then add the rest which is 15 minutes

therefore, your answer is 4:15 PM

hope this helps and i hope it is not too confusing :)

Answer:

4:15

Step-by-step explanation:

Jake bought four peaches. The first two peaches weigh 2/6 of a pound, what could the third and fourth peach weigh in 1/6 of a pound?

Answers

3rd and 4th peach weigh 2/6 each

What is the slope of a line perpendicular to a line which has a slope of -2

Answers

Answer:

it is 1/2

Step-by-step explanation:

The product of a lines slope M and the slope K of a perpendicular is -1:

M*K=-1

This implies

K=-1/M

since

M * -1/M=-1

In our example we are given a line of slope M=-2 therefore the slope K of a line to perpendicular to this line is:

M*K=-1

-2*K=-1

K=-1/-2=1/2

Which equation represents the line that has a slope of 4 and passes through the points (2,7)

Answers

Answer:

The answer is y = 4x - 1.

Step-by-step explanation:

The answer is y = 4x - 1.

Step-by-step explanation:

☆The equation we'll be using: y = mx + b

☆Since we already have the slope. we have to find the y-intercept.

☆\begin{gathered}y = mx + b \\ \\ 7 = 4(2) + b \\ 7 = 8 + b \\ \frac{ - 8 = - 8 \: \: \: \: \: \: \: \: \: \: \: }{ - 1 = b \: \: \: \: \: \: \: \: \: \: } \end{gathered}

y=mx+b

7=4(2)+b

7=8+b

−1=b

−8=−8

There are 35 boxes with 48 base balls in each box how many baseballs are there altogether

Answers

Answer:

35x48=1680

Step-by-step explanation:

1680

Work out the percentage change to 2 decimal places when a price of £8.95 is increased to £10.

Answers

Answer:

The percentage change was of 11.73%.

Step-by-step explanation:

The percentage change of the increase is given by the change multiplied by 100 and divided by the initial value.

Price of £8.95 is increased to £10.

Change: 10 - 8.95 = 1.05

Initial price: 8.95

1.05*100/8.95 = 11.73%

The percentage change was of 11.73%.

what is 10 2/3 in inproper numbers

Answers

Answer:

[tex]\frac{32}{3}[/tex]

Step-by-step explanation:

you simply multiply the bottom number times the whole number:

10*3 =30

then add the top number:

30+2=32

and finally, you put the 32/3

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