The Law of Large Numbers states that as an experiment is repeated, the relative frequency of an event tends toward the real probability.
a. if the probability of a specific observed event is very small, it is unlikely that the assumption about the probability is correct.
b. the probability of obtaining a favorable outcome increases as the number of trials increases.
c. the sampling distribution of the sample mean will be approximately normally distributed as long as the sample size is sufficiently large.
d. the probability that an event will occur is derived from one's increasing knowledge of relevant circumstances.

Answers

Answer 1

Answer:

the probability of obtaining a favorable outcome increases as the number of trials increases

Step-by-step explanation:

The law of large numbers occupies an important place in probability statistics especially as it regards the outcome of experiments.

A simple statement of this law is that; when an experiment is independently repeated a large number of times, the average result, that is obtained is close to the expected value.

Hence, the probability of obtaining a favorable outcome increases as the number of trials increases.


Related Questions

Helppppppppppppppppppppppppp

Answers

Answer:

B

Step-by-step explanation:

Step 1: Translate word to math

"Five" = 5

"less than" means subtraction

"quotient" means division

"a number" = n

"and" means with (in this case)

"3" = 3"

"is" means equal

"-7" = -7

Step 2: Set up equation (combine)

n/3 - 5 = -7

The answer is B
n/3-5= -7

Devin has 39 toy blocks. What is the value of the digit 9 in the number

Answers

Answer:

The value of the digit 9 is in the ones place.

Step-by-step explanation:

1     Hundreds

1     Tens

1     Ones        <----------------

.     Decimal point

1     Tenths

1     Hundredths

1     Thousandths

please reply fast..............​

Answers

i believe it would be -3

Which number produces an irrational number when multiplied by 0.5

A.
[tex] \sqrt{16} [/tex]
B. 0.555...

C.
[tex] \sqrt{3} [/tex]

D. 1/3​

Answers

Answer:

  C.  √3

Step-by-step explanation:

When one of the factors is a rational number (0.5), the product will be irrational if, and only if, the other factor is irrational.

Of the numbers offered, only √3 is irrational.

  √3 will produce an irrational product when multiplied by 0.5.

__

The other values are all rational:

  A: 4

  B: 5/9

  D: 1/3

Taliyah drives 120 miles in 3 hours. At the same rate, how far will she drive in 5 hours?

Answers

Answer:

200 Miles

Step-by-step explanation:

120 miles divided by 3 hours = 40 miles

40 miles x 5 hours = 200 miles

What are two ways or more to calculate slope and what is the difference between them?

Answers

Answer:

one way.

k=y2-y1 / x2-x1

Write an equation in point-slope form for the line. Slope is -2 and (1, 1) in on the line.

Answers

Answer:

The point-slope form is y - 1 = -2 (x-1)

Step-by-step explanation:

Simplify the given equation.
6 - (3x + 10) + 4(2 - x) = 15

Options:
4 - 7x = 15
4 - 4x = 15
12 - 7x = 15

Answers

Answer:

4 - 7x = 15

Step-by-step explanation:

I think not sure

13
214
517
68
Which of the following angles are
congruent to 25? Select all that
apply.
А.
21
с
23
B
22
D 24

Answers

Answer:

D is answer

Step-by-step explanation:

please follow me

The retail price of a smartphone is $600. You purchase the phone by making 24 equal monthly payments. How much is the amount of each payment.

Answers

Answer:

$25

Step-by-step explanation:

Answer:

You will be making 25$ payments each month

Step-by-step explanation:

600/24 = 25

One important test for kidney disease involves measuring the levels of bicarbonate (HCO−3) in blood. Normal bicarbonate levels for a person ranging in age from 18 to 59 years old is 23–29 mmol/L. A lab purchased a new instrument to measure bicarbonate levels in blood and needs to certify it against their current instrument. The bicarbonate levels in the blood of a 38 year old woman was measured using the old and new instrument. The blood was tested 6 times using each instrument. The mean concentration of bicarbonate using the old instrument was found to be 24.6 mmol/L with a standard deviation of 1.56 mmol/L. The new instrument yielded a mean concentration of 25.9 mmol/L with a standard deviation of 0.54 mmol/L. Determine if there is a significant difference in the standard deviations of the two sets of measurements made by the two instruments at the 95% confidence level. Determine the value of Fcalc.

Answers

Answer:

Yes there is a significant difference in the standard deviations of the two sets of measurements made by the two instruments at the 95%

[tex]F_{calc} = 8.3457[/tex]

Step-by-step explanation:

From the question we are told that

    The  normal bicarbonate level is  k  =  23-29 mmol/L

    The number of times the blood was tested is  n =  6

    The mean concentration for old instrument is  [tex]\= x_1 = 24.6\ mmol/L[/tex]

     The  standard deviation is  [tex]\sigma_1 = 1.56\ mmol/L[/tex]

    The mean concentration for the new instrument is  [tex]\= x_2 = 25.9 mmol/L[/tex]

    The standard deviation is [tex]\sigma_2 = 0.54 mmol/L[/tex]

     The confidence level is  95%

     The level of significance is mathematically represented  as  [tex]\alpha = (100 - 95)\%[/tex]

[tex]\alpha = 0.05[/tex]

 Generally the test statistics is mathematically represented as

      [tex]F_{calc} = \frac{\sigma_1 ^2}{\sigma_2^2}[/tex]

=>    [tex]F_{calc} = \frac{1.56^2}{0.54^2}[/tex]

=>    [tex]F_{calc} = 8.3457[/tex]

Generally  the degree of freedom for the old instrument is  is mathematically evaluated as  

     [tex]df = n -1[/tex]

=>  [tex]df = 6 -1[/tex]  

=>   [tex]df = 5[/tex]  

Generally  the degree of freedom for the new instrument is  is mathematically evaluated as  

     [tex]df_1 = n -1[/tex]

=>  [tex]df_1 = 6 -1[/tex]  

=>   [tex]df_1 = 5[/tex]  

For  the f distribution table  the critical value  of  [tex]\alpha[/tex] at df  and [tex]df_1[/tex] is  

    [tex]F_{tab} =5.0503[/tex]

Generally given that the [tex]F_{calc} > F_{tab}[/tex] it means that  there is a significant difference in the standard deviations of the two sets of measurements made by the two instruments at the 95%

(WILL GIVE BRAINLIEST ASAP) A service that repairs televisions sells maintenance agreements for $10 a year. The average cost for repairing a
television is $34 and 5 in every 100 people who purchase maintenance agreements have televisions that require repair.
Find the service's expected profit per maintenance agreement.
$8.30
$8.64
$9.95
$9.66

Answers

8.64 hope this helped


State what additional information is required in order to know that the triangles are congruent
for the reason given.
Only for 5 and 6

Answers

Answer:

Step-by-step explanation:

5). Reason for the congruence is given as SSS.

   "Property SSS for the congruence of two triangles states that all three sides of the triangles must be congruent."

In the given triangles ΔMLN and ΔULN,

ML ≅ LU [given]

NL ≅ NL [Reflexive property]

To fulfill SSS property third sides of the given triangles should be given as congruent.

Therefore, additional information required will be MN ≅ NU

6). SAS property of congruence states that "two sides and included angle between these sides of two triangles must be congruent"

From the given triangles ΔPWS and ΔVXW,

PW ≅ VW [Given]

∠PWS ≅ ∠XWV [Vertically opposite angles]

Therefore, to fulfill the property of SAS additional information required will be,

SW ≅ WV

A football coach needs to divide 48 players into two groups. He wants the ratio of the players in group 1 to players in group 2 to be 3. How many players in group 2?

Answers

Answer:

45

Step-by-step explanation:

A ratio shows us the number of times a number contains another number. The number of players in group 2 is 12.

What is a Ratio?

A ratio shows us the number of times a number contains another number.

Given that the coach wants the ratio of the players in group 1 to players in group 2 to be 3. Therefore, the ratio can be written as,

Number of players in group1/Number of players in group2 = 3/1

Multiply the numerator and the denominator of the ratio by x,

Number of players in group1/Number of players in group2 = 3x /1x

Now, the total number of players can be written as,

3x + x = 48

4x = 48

x = 48/4

x = 12

Further, the number of players in group 2 can be written as,

Number of players in group2 = x = 12

Hence, the number of players in group 2 is 12.

Learn more about Ratios here:

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What is the justification for step 2 in the solution process?16-5x=1-4x; -5x=-4x-15; -x=-15

Answers

Answer:

Addition Property Of Equality

Step-by-step explanation:

The variable was isolated on the left side of the equation by adding 4x to both sides. This is justified by the addition property of equality.

Step 1: -5x = -4x -15

Step 2: -x = -15

Answer:

the addition property of equality

Step-by-step explanation:

The variable was isolated on the left side of the equation by adding 4x to both sides. This is justified by the addition property of equality.

dice is rolled 3000 times
how many times would you expect to roll a 5

Answers

Answer:

500 times

Step-by-step explanation:

3000/6

if DE=3x+7, EF=2x-3 and DF=7x-9, find DF

Answers

Answer:

So -63 isn't the right answer. It is either 6.5 or 13/2 based on how your teacher wants the answer.

Step-by-step explanation:

I did the work to show you how i got there. It is definitely not -63. I hope this helps!

Answer:

jygyygyutyu

Step-by-step explanation:

HELP PLEASEE EASY QUESTION


Which statements are true about the polynomial function?

f(x)=x3−x2−4x+4

Select each correct answer.




f(x)=0 when x=−1 .

f(−1)=0

(x−1) is a factor of f(x) .

f(x) divided by (x−1) has a remainder of 0.

Answers

Answer:

D. f(x)  divided by (x−1)  has a remainder of 0.

C. (x−1)  is a factor of  f(x) .

Step-by-step explanation:

Just took a test with this question these are the answers!

The statements that are true about the polynomial function are;

(x−1) is a factor of f(x).  f(x) divided by (x−1) has a remainder of 0.

Given the polynomial function [tex]f(x)=x^3-x^2-4x+4[/tex]

If x = -1, hence;

[tex]f(-1)=(-1)^3-(-1)^2-4(-1)+4\\f(-1)=-1-1+4+4\\f(-1)=-2+8\\f(-1) =6[/tex]

This shows that f(x) ≠ 0 when x = −1 .

To check if x - 1 is a factor, we will substitute x = 1 into the function and check if the result is zero as shown:

[tex]f(1)=1^3-1^2-4(1)+4\\f(1)=1-1-4+4\\f(1) =0[/tex]

This shows that (x−1) is a factor of f(x).

This also shows that if f(x) divided by (x−1) has a remainder of 0.

Learn more here: https://brainly.com/question/18820029

Which expression is equivalent to 42 + 49?

Answers

Answer:

91?

Step-by-step explanation:

You don't have any pictures attached or anything so I don't get a full understanding of what you are trying to say, anyways Have a good day! :)

What is the equation of the line that passes through the point (-2,5) and has a slope of -6

Answers

Answer:

y = -6x - 7

Step-by-step explanation:

y = mx + b

5 = -6(-2) + b

5 = 12 + b

b = -7

y = -6x - 7

On a scale drawing of the front of a square earring, each side of the earring is 3.2cm. The scale from the earring to the drawing is 4mm to 2cm. What is the area of the front of the actual earring?

Answers

40.96 mm

3.2(10) = 32; 3.2 cm → 32 mm

each side of scale drawing is 32 mm

2(10) = 20; 2 cm → 20 mm

scale is 4 mm to 20 mm

[tex]\frac{4}{20}= \frac{x}{32}[/tex]

cross-multiply:

32(4) = 128

128 / 20 = 6.4

each side of the actual drawing is 6.4 mm.

6.4 * 6.4 = 40.96

40.96 mm

40.96 mm

What is scaling ?

It is the technique to resize drawing with comparing to actual size of object which uses proportion or ratio. For example, Mapping of earth, drawing prototype of automobiles.

It is given that the scaling of drawing is 4mm to 2cm of actual drawing and the scaled drawing side of square earring is 3.2cm.

Now, corelating the scale given which means for 1mm of actual side of earring the drawing scale is 0.5 cm or 5mm. Therefore, for having 3.2 cm of side of earring in drawing let [tex]x[/tex] be the actual side this is calculated below :

                                                [tex]\begin{aligned}20 \text{mm}&\rightarrow 4\text{mm}\\32\text{mm}&\rightarrow x\text{\:mm}\\\frac{4}{20}&=\frac{x}{32}\\x&=6.4 \text{mm}\end{aligned}[/tex]

Now, the actual side of earring is 6.4 mm therefore, the area of the front of earring will be : 6.4 mm x 6.4 mm =40.96 mm  

Read more about ratio at:

https://brainly.in/question/1239848

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What is the GCF of two prime numbers?
Group of answer choices

A. 1

B. The second number

C. The last number

D. 0

Answers

Answer:

A. 1

Step-by-step explanation:

prime numbers are not subject to any factors other then themselves and 1

If $a:b = 1:3$ and $b$ is a positive, one-digit integer, what is the greatest possible value of $a$?

Answers

Answer is 3

=========================================

Work Shown:

a:b = 1:3

a/b = 1/3

a*3 = b*1 ... cross multiply

3a = b

b = 3a

Since b is a one digit number, this means that the largest it can get is 9

[tex]b \le 9\\\\3a \le 9\\\\a \le \frac{9}{3}\\\\a \le 3[/tex]

The largest possible value of 'a' is 3

I need help on this ASAP

Answers

Answer:

ITZ A

Step-by-step explanation:

Bradley sold at least 127 juices and coffees. He sold 9 more juices than coffees. What is the minimum amount of coffees Bradley could have sold? Enter your answer in the box.

Answers

Answer:

59 coffees

Step-by-step explanation:

c + j >= 127

j = 9 + c

c + 9 + c >= 127

2c + 9 >= 127

2c >= 127-9

2c >= 118

c=59,

check by 59× 59 + 9 = 127

what is midpoint if tu =4× and uv =X +9​

Answers

Answer:

12

Step-by-step explanation:

Given

TU = 4xUV = x + 9

Finding the value of x

TU = UV4x = x+93x = 9x = 3

Midpoint = 4x = 4*3 = 12

3. Use properties of equality to solve the equation for w. 2(w+3) = -2(w-21)

Answers

Answer:

w = 9

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

:)

Let p: x = 4
Let q: y = -2
Which represents "If x = 4, then y=-2

Answers

helppp i will make brianlest and give u 14 points. answer how to do it explanations and how to put in number line or if u have a answer key online helppp i will make brianlest and give u 14 helppp i will make brianlest and give u 14 points. answer how to do it explanations and how to put in number line or if u have a answer key online ggghhgt(((&&&&788909553212257899points. answer how to do it explanations and how to put in number line or if u have a answer key online

(50 points!) Find the missing angles.​

Answers

So far I can tell you 5=150 bc vertical angles are congruent
7=30 bc it is a linear pair with 150 meaning it is supplementary (180) 6=30 bc 7 and 6 are vertical angles

URGENT
What is the equation of the line that passes through the point ( -2, 7) and has a slope of zero?

Answers

Answer:

y=7

Step-by-step explanation:

When ever the slope is 0, the line is completely flat. This means that the equation has the same y for every point.

The y on the point given is 7, therefore the answer is y=7.

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