can the normal distribution be used to approximate this probability?

Answers

Answer 1

Yes, the normal distribution can be used to approximate probability.

What is the normal distribution?

It is frequently utilized to model random variables that have a broad range of values, with the majority of the observations clustering around the central location.

It is also referred to as the Gaussian distribution because of its close relationship to the Gaussian or "normal" function.

This normal distribution has two parameters:

The mean and the standard deviation.

In statistical analysis, we frequently come across issues in which we must estimate the probability of an event.

The normal distribution is frequently utilized to approximate this probability. When the sample size is large enough, this approximation is fairly accurate.

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Related Questions

Can You provide me with the five ( 5 ) states with the lowest crime rate in 2022 :
List the average crime rates in America during the year 2016: list the number of cases, deaths, people
Example: Homicide, 5.3 deaths per 100,000 people
List the 12 states with the highest crime rate in 2022

Answers

Providing an explanation of the 12 states with the highest crime rate in 2022 would require access to recent crime rate data

I apologize, but as an AI language model, I don't have real-time data or access to the internet to provide you with the specific crime rates for the year 2022 or the average crime rates in America during the year 2016. My training only goes up until September 2021, and I don't have access to specific crime rate statistics.

To obtain the most up-to-date and accurate information on crime rates, I recommend referring to reliable sources such as official government websites, law enforcement agencies, or reputable crime research organizations. These sources regularly publish crime statistics for different regions and time periods.

Additionally, providing an explanation of the 12 states with the highest crime rate in 2022 would require access to recent crime rate data. Without the data, it is not possible to provide an accurate analysis or explanation. I encourage you to consult the aforementioned sources for the latest crime rate information.

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What is the unknown digit?

What is the unknown digit?

Answers

Answer: 2

5542 divided by 17 is 2

please help!
Solve system of equations:
2x+2y=14
6x+y=39

Answers

Answer:

(12.4,-5.4)

Step-by-step explanation:

first equals

y = -x + 7

second

-6x +39 = y

then graph or make chart.

4/5 minus 3/6 equal?
step by step answers

Answers

Answer:

Step-by-step explanation: First give them a common denominator. 8/10-5/10. Then you subtract the numerators. 8-5=3. Then put the numerator and denominator back together and you get 3/10. If you need it in decimal form it would be 0.3

3/10

4x6/5x6 - 3x5/6x5
=
24/30 - 15/30
=
24 - 15/30 = 9/30
=
3/10

Hopes this helps :)

I need some help with this

I need some help with this

Answers

Answer:

125

Step-by-step explanation:

=
O RIGHT TRIANGLES AND TRIGONOMETRY
Word problem involving the Pythagorean Theorem
3000 as
Madisyn V
A 13-ft ladder leans against the side of a house. The bottom of the ladder is 10 ft from the side of the house. How high is the top of the ladder from the ground?
If necessary, round your answer to the nearest tenth.

Answers

Answer:

  8.3 ft

Step-by-step explanation:

You want the height of the top of a 13 ft ladder whose base is 10 ft from the side of a house.

Pythagorean theorem

The ladder represents the hypotenuse of a right triangle with legs of 10 ft and the height up the side of the house.

  a² +b² = c² . . . . . . . . Pythagorean relation

  a² +10² = 13² . . . . . . . known values filled in

  a² = 169 -100 = 69 . . . . subtract 10²

  a = √69 ≈ 8.3 . . . . . . . . . . . take the square root

The top of the ladder is about 8.3 feet from the ground.

=O RIGHT TRIANGLES AND TRIGONOMETRYWord problem involving the Pythagorean Theorem3000 asMadisyn VA 13-ft

Alvin is 14 years older than Elga. The sum of their ages is 56. What is Elga's age?

Answers

Answer:

Elga is 32 years old.

Step-by-step explanation:

Let Alvin's age = A

Let Elga's age = E

 

Alvin is 10 years younger than Elga, so A = E - 10

The sum of their ages is 54, so A + E = 54

 

Replace the A in the second equation with E - 10, then solve for E.

A + E = 54 becomes (E - 10) + E = 54

 

Combine like terms

2E - 10 = 54

 

Add 10 to both sides

2E = 64

 

Divide both sides by 2

E = 32

 

Drag the correct graph of each equation into the apace next to that equation to show how the output y-values change with changes in the output

Answers

Answer:

I can't see the exercise. what do you want?

Pat built two models of Navy boats, one with a scale of 1 inch = 26 feet and the other with a scale of 1 inch = 20 feet. If both finished models are 18 inches long, what is the difference between the actual sizes of the two boats?

Answers

The difference between the actual sizes of the two boats will be;

⇒ 108 feet

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that:

The scale of one boat of 1 inch = 26 ft

Now,

Since, The scale of one boat of 1 inch = 26 ft

Then, The scale of this for 18 inches model = 18 x 26

                                                                   = 468 ft

And, The scale of second boat of 1 inch = 20 ft

Then, scale of this for 18 inches model = 18x20

                                                            = 360 ft

These are nothing but actual size of boats.

Thus, The difference between their actual size = 468 - 360

                           = 108 ft  

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Consider the following number line.

What is the sign of A + BA+BA, plus, B?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Positive

(Choice B)
B
Negative

(Choice C)
C
Neither positive nor negative—the sum is zero.

Answers

Answer:

The choice A

Step-by-step explanation:

B+A=BA+BA+BA=3BA

Answer:

its negitave

Step-by-step explanation:

becuase negitave+negitave = negitave

I need help with this plz percent equations 100% of blank = 600,000

Answers

Answer:

100% of 600,000 = 600,000

Step-by-step explanation:

The answer will be 600,000

Since

100% of 6,000,000 = 6,000,000 so,

100% of 600,000 = 600,000

600,000, since 100% of something is the number itself.

How many angles are formed by the intersection of the diagonals?

Answers

The number of angles that are formed by the intersection of the diagonals is 4.

What is a square?

A square is a four-equal-sided figure with diagonals cut perpendicular to each other, with a total of four angles formed by diagonals.

It is a geometrical figure with four sides, each of which must be equal, and an angle of 90 degrees between two adjacent sides.

Square area = Side²

The square's perimeter = 4 sides

Every square contains two diagonals. The intersection angle of both diagonals is 90 degrees. The number of diagonal angles equals four.

Therefore, the correct option is 4.

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Complete question

How many angles are formed by the intersection of the diagonals in a square?

Order the number from the least to greatest
-8,7,-10,0

Answers

The number from the least to the greatest is -10, -8, 0, 7.

To order numbers means to arrange them in a particular sequence based on their magnitudes or values. This can be done in ascending order (smallest to largest) or descending order (largest to smallest).

Ascending order refers to arranging a set of numbers or values from the smallest to the largest value. For example, if we have a set of numbers {3, 1, 7, 2, 8}, arranging them in ascending order would give us {1, 2, 3, 7, 8}.

Descending order refers to arranging a set of numbers from the largest value to the smallest value. For example, if we have the numbers 7, 2, 9, 4, and 1, the descending order would be: 9, 7, 4, 2, 1.

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Can someone help me out with this question fast, please!?!?!

A function of x contains five ordered pairs. Given the set of ordered pairs {(-2, 5), (0, 3), (1, -3), (5, -2)}, which of the following points could be the fifth point?
A. (1, 0)
B. (2, 5)
C. (0, -4)
D. (5, 3)

Answers

The answer is B, because a function has each input value paired to no more than 1 output value. Since 1, 0, and 5 are already in the sets of ordered pairs given, none of those can be the x value.

How many ways can you fold the square so one half? How many ways an you fold the letter G one half fits exactly on top of the other half?

Answers

There are four ways to fold the square into half and the number of ways to fold the letter G is 0

Folding a square?

A square has 4 lines of symmetry.

Each line of symmetry divides the square into half

This means that the square can be folded in any of its line of symmetry to get one half

Hence, there are four ways to fold the square into half

Folding the letter G

The letter G has no line of symmetry.

This means that the letter cannot be folded so that the halves fit perfectly

Hence, the number of ways to fold the letter G is 0

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(a) What measures of variation indicate spread about the mean? (Select all that apply.) variance standard deviation coefficient of variation mean (b) Which graphic display shows the median and data spread about the median? 5-number summary histogram box-and-whisker plot frequency chart

Answers

Variance standard deviation coefficient of variation mean:

(a) The measures of variation that indicate spread about the mean are variance and standard deviation. Variance is the average squared deviation from the mean and provides an estimate of the degree of spread or dispersion of the data. Standard deviation is the square root of variance and is a commonly used measure of the spread of data. Coefficient of variation is also a measure of variation, which expresses the standard deviation as a percentage of the mean.

(b) The graphic display that shows the median and data spread about the median is the box-and-whisker plot. The box-and-whisker plot displays the five-number summary, which includes the minimum value, the first quartile, the median, the third quartile, and the maximum value. The box represents the middle 50% of the data and the whiskers show the range of the data outside the box. The median is represented by a line inside the box. The box-and-whisker plot is a useful tool for comparing distributions and identifying outliers.

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We say that a point estimator is unbiased if which of the following is true?
a. Its value is always equal to the parameter it estimates.
b. The standard deviation of its sampling distribution decreases as the sample size increases.
c. Its sampling distribution is normal.
d. Its sampling distribution is centered exactly at the parameter it estimates.

Answers

The correct is a. A point estimator is considered unbiased if its value is always equal to the parameter it estimates.

This means that, on average, the point estimator is accurate in estimating the population parameter. The other options are not necessarily true for an unbiased point estimator. While b and d may be desirable properties for a point estimator to have, they do not necessarily guarantee that the estimator is unbiased. Similarly, c is not a requirement for an estimator to be unbiased. The key criterion is that the estimator should provide accurate estimates of the population parameter. A point estimator is considered unbiased if the following statement is true: (d) Its sampling distribution is centered exactly at the parameter it estimates. In other words, an unbiased estimator has an expected value equal to the true parameter value, ensuring that on average, the estimates are accurate and not systematically overestimating or underestimating the true value.

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2(x+1) please do full steps and answer thank you i will give brainlist

Answers

Distribute the parentheses:

2(x + 1)

2 · x = 2x

2 · 1 = 2

2(x + 1) = 2x + 2

What are the solutions of the quadratic equation?
5x^2+51x+54 = 0

Answers

x = - 6/5 or x=-9 !!!!!!!!!!!!!

Find the missing value to the nearest hundredth.

Find the missing value to the nearest hundredth.

Answers

Answer:

Option (A)

Step-by-step explanation:

Let the Sine of the given angle θ is,

Sinθ = \(\frac{x}{y}\)

Then θ = \(\text{Sin}^{-1}(\frac{x}{y} )\)

From the given values in the question,

Sinθ = \(\frac{7}{29}\)

θ = \(\text{Sin}^{-1}(\frac{7}{29} )\)

θ = 13.97°

Therefore, measure of the angle 'θ' will be 13.97°.

Option (A) will be the answer.

2
l6a - - 25b
\( {16a}^{2} - {25b}^{2} \)

Answers

Answer:

(a+5b)⋅(a−5b)

Step-by-step explanation:

A 12- V battery powers a series circuit that contains two lightbulbs. The voltage across one of the lightbulbs is 8 V. What fractional part of the circuits total energy is transformed in the second lightbulb?

Answers

Answer:

1/3

Step-by-step explanation:

12-8=4

4/12 = 1/3

For my higher grade and i dint get this problem

For my higher grade and i dint get this problem

Answers

Answer:

y = 9

Step-by-step explanation:

\(\frac{2}{6}\) = \(\frac{y}{27}\) ( cross- multiply )

6y = 2 × 27 = 54 ( divide both sides by 6 )

y = 9

Answer:

Step-by-step explanation: From the question 2/6 = y/ 27

Cross multiply

It becomes 2 * 27 = 6 * y

54 = 6y

Make y the subject

y = 54/ 6

y = 9

Help! Hurry! NO SPAM!!!! I will mark brainliest if you get it correct.
Identify the first five terms of the sequence in which a1 = 1 and an = 3an −1 + 2 for n ≥ 2.

Answers

Answer:

1, 5, 17, 53, 161

Step-by-step explanation:

Using the recursive rule and a₁ = 1 , then

a₂ = 3a₁ + 2 = 3(1) + 2 = 3 + 2 = 5

a₃ = 3a₂ + 2 = 3(5) + 2 = 15 + 2 = 17

a₄ = 3a₃ + 2 = 3(17) + 2 = 51 + 2 = 53

a₅ = 3a₄ + 2 = 3(53) + 2 = 159 + 2 = 161

The first 5 terms are 1, 5, 17, 53, 161

1, 1, 1, 1, 1 are the first 5 terms of the given sequence.

What is inequality?

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

We can find the first few terms of the sequence using the recursive formula:

a₁ = 1

aₙ = 3aₙ₋₁ + 2 for n ≥ 2

Using this formula, we can find the second term:

a₂ = 3a₁ - 2 = 3(1) - 2 = 1

We can then find the third term:

a₃ = 3a₂ - 2 = 3(1) - 2 = 1

Continuing this pattern, we find:

a₄ = 3a₃ - 2 = 3(1) - 2 = 1

a₅ = 3a₄ - 2 = 3(1) - 2 = 1

So the first five terms of the sequence are:

1, 1, 1, 1, 1

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which of these are a statistical question how many days are in one week? how many legs does a spider have? What is the total number of letters in the alaphabet?
What is the averge time that larray rises from bed in the morning

Answers

Answer:

What is the average time that Larry rises from bed in the morning

Step-by-step explanation:

Because the answer isn't definite, you have to collect data and analyze to find the answer.

The shampoo Eva likes to use costs $6 for a 24-ounce bottle. The conditioner she likes to use costs $12 for a 30-ounce bottle. How much more per ounce does her conditioner cost than her shampoo?

Answers

Answer:

0.15

Step-by-step explanation:

6 divided by 24 equals 0.25

12 divided by 30 equals 0.4

0.4 minus 0.25 is 0.15

.Find the mode(s) of the data.
Talent Show Acts
Singing
Singing
Juggling
Singing
Comedy
Poetry

Dancing
Singing
Dancing
Poetry
Magic
Singing

Comedy
Dancing
Singing
Dancing
Dancing
Singing

Answers

The modeof the data is "Singing".

In statistics, the mode refers to the value or values that appear most frequently in a dataset. It represents the peak of the frequency distribution. In the given data, we have a list of talent show acts, and we are looking for the act(s) that occur most frequently.

To find the mode(s) of the given data, we look for the value(s) that appear most frequently. Let's count the occurrences of each act:

Singing - 7 times

Dancing - 6 times

Comedy - 3 times

Poetry - 2 times

Juggling - 1 time

Magic - 1 time

From the counts, we can see that "Singing" appears the most frequently, occurring 7 times. Therefore, the mode(s) of the data is "Singing".

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Please help its a math question i will have a brainlist image is attached below

Please help its a math question i will have a brainlist image is attached below

Answers

Answer:

A reflection across line y = 4

Step-by-step explanation:

If you can imagine folding the figure using the red or green line, it will not fold over to the opposite corner.  Draw a rectangle and fold it diagonally and you will see that it will not work.  If you rotate 90 degrees at (4,4) it will make the short sides horizontal and the long sides vertical.

If you reflect it over the line y= 4. Points A and C will switch places and Point B and D will switch places, but the image (new shape) will be identical to the original shape.

prove line segment de is congruent to line segment ce

prove line segment de is congruent to line segment ce

Answers

Answer:

because there is 1 arc on both meaning they are congruent

Step-by-step explanation:

8÷2(2+2) This is 16 not 1

Answers

Step-by-step explanation:

8÷2(2+2) = 8.

2(2 + 2)

= 8.

4 + 4

= 8.

8

= 1

Answer:

using BODMAS

The answer is 1

Step-by-step explanation:

Bracket Order Division Multiplication Addition and Subtraction

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