What is the probability of each possible sample if a random sample of size 3 is to be drawn from a finite population of size? (a) 4 (b) 6 (c) 12 (d) 18

Answer:

Step-by-step explanation:

2.06

Answer:

35/17 = 2.06 (to the nearest hundredth)

Answer:

\(\boxed{x^4 + x^2 + x}\)

Step-by-step explanation:

\(\frac{x^5 - x^4 + x^3 -x^2 + x - 1}{x - 1}\)

\(= \frac{(x - 1)(x^4 + x^2 + x)}{x - 1}\)

\(= x^4 + x^2 + x\)

.

Happy to help :)

Answer:

36

Step-by-step explanation:

30×1.20

30×120/100

3×12/1

36

Answer:

The probability that it will not choose one of the weekdays is 0.29.

Tell me if I made any mistakes in my answer and I will correct them :)

Step-by-step explanation:

1) Add the probabilities of all the weekdays together.

0.16+0.04+0.25+0.19+0.07=0.71

2) Subtract 0.71 from 1.  

1-0.71=0.29

The probability that it will not choose one of the weekdays is 0.29.

Hope this helps and good luck with your homework!

Answer:

Step-by-step explanation:

For the first part of this problem, you want to find the least common factor of the three numbers provided.

You can do it the slow way or the fast way.

The slow way is listing the factors of each number until you find the smallest number that all 3 lists have in common. E.g.,

8, 16, 24, ... 600

12, 24, 36, ... 600

25, 50, 75, ... 600

Or, the fast way involves breaking each number into prime factors, then selecting each factor that appears once or more. If a factor appears more than once, select that factor in the instance in which it has the highest exponent. Then, multiply the factors you selected.

So,

8 = 2 * 2 * 2 or 2^3

12 = 2 * 2 * 3 or 2^2 * 3

25 = 5 * 5 or 5^2

So, our LCF = 2^3 * 3 * 5^2 = 8 * 3 * 25 = 600.

Note, even though 2 appears in both 8 & 12, I selected 2^3 because 12 can gain a two faster than 8 can lose a two.

In order to have 600 white, silver, and gold candles, Bilal must buy

600/25 or 24 packets of white candles

600/12 or 50 packets of silver candles

600/8 or 75 packets of gold candles

With 600 of each candle, he can make 600 sets of candles.

The number of bicycle  store needs to sell each month to break even is, 55

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

For example, 3x+2y=0.

Types of equation

1. Linear Equation

2. Quadratic Equation

3. Cubic Equation

Given that,

A bicycle store costs ​$3850 per month to operate

The store pays an average of ​$75 per bike

The average selling price of each bicycle is ​$145

The number of sells to break even = ?

Suppose, the number of sales is x

So, it can be written as,

For break even condition

75x + 3850 = 145x

145x - 75x  = 3850

70x = 3850

    x = 3850/70

    x =  55

Hence, the number of sales is 55

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Answer:

1 11/20

Step-by-step explanation:

3 3/4 - 2 1/5

(3-2) + (3/4 - 1/5)

1 + 11/20

1 11/20 or 31/20 or 1.55

Considering the technological advancement of the cell phone, customers perceive its value to be around $800. In this scenario, the economic value created is $450.

We can solve this by,

Cost: The expenses incurred by a firm while producing goods or providing services are known as cost.

Product: The item that is produced, processed, or delivered for sale is known as a product.

Value: The economic value of a product is determined by how much it is valued in the marketplace, which is a function of how much people are willing to pay for it. In the given scenario,

          Talkalot Corp. Incurs a cost of $350 to produce one unit of a cell phone. The company's management has priced the product at $600 in the market. Considering the technological advancement of the cell phone, customers perceive its value to be around $800.

       As per the scenario, the value created is:

          The value created = Perceived value - Cost Value created

                                          = $800 - $350

          The value created = $450

  Therefore, the economic value created in this scenario is $450.

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Answer:

Step-by-step explanation:

82 +9=5000 thank me later

Answer:

The Chinese traditional culture should first include thought, writing and language, and then the six arts, namely, rites, music, archery, imperial skills, calligraphy and mathematics, and then the calligraphy, music, martial arts, quyi, chess, festivals and folk customs derived from the rich life. Traditional culture is something that is closely related to our lives, integrated into our lives, and we enjoy it without knowing it.

Chinese traditional culture should include: ancient Chinese literature, ancient poetry, words, music, Fu, folk music, folk drama, quyi, Chinese painting, calligraphy, couplets, lantern riddles, shooting, wine, Xiehouyu, etc.; Traditional festivals (according to the lunar calendar) are: the first day of the first lunar month the Spring Festival (lunar New Year), the fifteenth day of the first lunar month the Lantern Festival, April 5 Qingming Festival, Qingming Festival before and after the cold food Festival, May 5 Dragon Boat Festival, July 7 Qixi Festival, August 15 Mid-Autumn Festival, the twelfth Lunar month thirty New Year's Eve and various folk activities; Ancient Chinese natural sciences, including the traditional calendar, and the traditional cultures of various regions and ethnic minorities living in China are also part of traditional Chinese culture.

Answer:

1/3

Step-by-step explanation:

This equation is in slope-intercept form, which describes the slope and y-intercept of a linear equation.

\(y=mx+b\) is how we describe such equations where "m" is the slope and "b" is the y-intercept. In this case, the slope is 1/3 because that is equivalent to the value of "m".

Answer:

Number is -10

Step-by-step explanation:

Let Number be x

so, 5x= 30+8x

Take 30 other side and 5x other side

so, 8x-5x=-30

3x=-30

x=-10

HOPE THIS HELPS... THANK YOU

The image coordinates of L′ if the preimage is translated 9 units up. is L'(-1, 11). option(B)

To determine the image coordinates of L' after the preimage is translated 9 units up, we need to add 9 to the y-coordinate of the original point L.

The coordinates of L are (-1, 2), and if we translate it 9 units up, the new y-coordinate will be 2 + 9 = 11. Therefore, the image coordinates of L' will be L'(−1, 11).

To understand the translation, we can visualize the polygon JKLM on a coordinate plane.

The original polygon JKLM has vertices J(-2, -5), K(-4, 0), L(-1, 2), and M(0, -1).

By translating the polygon 9 units up, we shift all the points vertically by adding 9 to their y-coordinates. The x-coordinates remain unchanged.

Applying this translation to the original coordinates of L(-1, 2), we obtain L' as follows:

L'(-1, 2 + 9) = L'(-1, 11). option(B)

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Answer:

Sophia can drive 3672 miles using 18 gallons of gas.

Step-by-step explanation:

204 x 18 = 3672.

Answer:

a. 58/99

b. 53/90

c. 29/50

Step-by-step explanation:

The reflected coordinates of the parallelogram are;

A'(-4,-5), B'(2,-5),C'(5,-1), and D'(-2,-1).

Hence, The correct option is D.

The process of changing the location of the image on the coordinate system will be known as the translation.

A reflection in mathematics is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a fixed point set; this set is known as the axis or plane of reflection. A figure's mirror image in the axis or plane of reflection is its image by reflection.

Given that ;

ABCD is a parallelogram reflected across the x-axis. The coordinates of the reflected parallelogram are calculated below.

A(-4,5)  ⇒  A'(-4,-5)

B ( 2,5) ⇒  B'(2,-5)

C(5,1)    ⇒  C'(5,-1)

D(-2,1)  ⇒   D'(-2,-1)

Therefore, the reflected coordinates of the parallelogram are A'(-4,-5), B'(2,-5),C'(5,-1), and D'(-2,-1).  The correct option is D.

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Hey there!

ORIGINAL EQUATION

|5x - 4| = 11

~~~~~~~~~~~~~~~~~~~~
Possible EQUATION #1

5x - 4 = 11

ADD 4 to BOTH SIDES

5x - 4 + 4 = 11 + 4

CANCEL out: -4 + 4 because it gives you 0

KEEP: 11 + 4 because it help solve for the x-value

NEW EQUATION: 5x = 11 + 4

SIMPLIFY IT!

5x = 15

DIVIDE 5 to BOTH SIDES

5x/5 = 15/5

CANCEL out: 5/5 because it gives you 1

KEEP: 15/5 because it help solve for the x-value

NEW EQUATION: x = 15/5

SIMPLIFY IT!

x = 3

~~~~~~~~~~~~~~~~~~~~
Possible EQUATION #2

5x - 4 = -11

ADD 4 to BOTH SIDES

5x - 4 + 4 = -11 + 4

CANCEL out: -4 + 4 because it gives you 0

KEEP. -11 + 4 because it help solve for the x-value

NEW EQUATION: 5x = -11 + 4

SIMPLIFY IT!

5x = -7

DIVIDE 5 to BOTH SIDES

5x/5 = -7/5

CANCEL out: 5/5 because it gives you 1

KEEP: -7/5 because it help solve for the x-value

NEW EQUATION: x = -7/5

SIMPLIFY IT!

x = -7/5

~~~~~~~~~~~~~~~~~~~~~~~

ANSWER

x = 3 or x = -7/5

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

x = \(\frac{3+\sqrt{105} }{8} , \frac{3-\sqrt{105} }{8} x=1.655,-0.905\)

Step-by-step explanation:

3x+6 = 4x^2

4x^2 -3x -6 = 0

x = \(\frac{3+\sqrt{105} }{8} , \frac{3-\sqrt{105} }{8} x=1.655,-0.905\)

Answer:

The volume of the wood used is \(1,116\ cm^3\)

Step-by-step explanation:

The Volume of a Rectangular Cuboid

In a rectangular cuboid, all angles are right, and the opposite faces are equal.

The volume of a cuboid of dimensions a,b,c is:

V=a.b.c

The rectangular box is made of wood with externals dimensions of 25 cm by 20 cm by 15 cm.

The external volume of the box is:

\(V_e=(25)*(20)*(15)=7,500\ cm^3\)

The walls of the box are 0.5 thick each, this means that the internal dimensions are 1 cm less than the external dimensions, including the lid.

Thus the internal volume is:

\(V_i=(24)*(19)*(14)=6,384\ cm^3\)

The volume of the wood used is the difference between the external and the internal volumes:

\(V_w=7,500\ cm^3-6,384\ cm^3=1,116\ cm^3\)

The volume of the wood used is \(\mathbf{1,116\ cm^3}\)

For two linear equations to be parallel on the coordinate grid, they both must have the same slope.

As shown in the options given, only option 1 has the same slope as the one in the question. The slope is the coefficient of x, and in this case, the slope is -1/3.

Please note also that the equation in option 1 is the same as the equation given as a question.

Answer:

\(vx - w = 2 \\ vx = 2 + w \\ x = \frac{2 + w}{v} \)

The factorisation of that poly is

(x+4)(x+5)

Answer:

14x-5=70 and 22x5=110

Step-by-step explanation:

i hope this helped have a good day

Answer:19/31

Step-by-step explanation:

The probability of obtaining exactly four tails {( T,T,T,T)}, when flipping four coins is equals to the 1/16 = 0.0625.

Independent Events : If the result of one event does not influence the result of another event, then the events are referred to as independent. In other words, it can be said that both events can happen simultaneously without interference. Probability is defined as a chance of occurrence of an event. Let E be the event that exactly four tails when flipping four coins. As we know that, when One coin is flip, total outcomes = 2 = { H,T}

So, 4 coins flipped, total possible outcomes = 16

Probability of getting tail on flipping one coin = 1/2

That is exactly four tails when flipping four coins are independent events. Therefore, the probability of obtaining four tails in a row in 4 flips of a coin is the product of probability in 4 flips. Since each flipping of a coin is independent, so

the probability of obtaining exactly four tails when flipping four coins = P(X = 4)

=( 1/2)(1/2)(1/2)(1/2) = (1/2)⁴

= 0.0625

Hence, required probability is 0.0625.

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An appropriate height range that would encompass approximately 95% of all people in the sample is from 64 inches to 76 inches.

In a study conducted in the United States, a random sample of individuals was measured for their heights.

The data revealed that the heights followed a normal distribution, with a mean of 70 inches and a standard deviation of 3 inches.

Based on this information, we can determine an appropriate height range that would encompass approximately 95% of all people in the sample.

To calculate the height range, we can utilize the properties of the normal distribution.

In a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.

In this case, with a standard deviation of 3 inches, approximately 95% of the data would fall within two standard deviations from the mean.

To find the height range, we need to determine the values that are two standard deviations above and below the mean.

Two standard deviations below the mean:

70 inches - (2 \(\times\) 3 inches) = 70 inches - 6 inches = 64 inches.

Two standard deviations above the mean:

70 inches + (2 \(\times\) 3 inches) = 70 inches + 6 inches = 76 inches

Therefore, an appropriate height range that would encompass approximately 95% of all people in the sample is from 64 inches to 76 inches.

It's important to note that this range is specific to the sample in the study and may not be applicable to the entire population.

Additionally, other factors such as age, gender, and ethnicity can influence height distributions.

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Question: In a study conducted in the United States, a random sample of individuals was measured for their heights. The heights were found to follow a normal distribution with a mean of 70 inches and a standard deviation of 3 inches. Based on this data, what would be an appropriate height range that would encompass approximately 95% of all people in the sample?

The estimated value of g(1.2) is -16.

To estimate the value of g(22) and g(1.2), we can use the first-order Taylor approximation, which states that for a differentiable function g(x) at a point a:

g(x) ≈ g(a) + g'(a)(x - a)

For the first estimation, we have g(20) = 35 and g'(20) = -2. We want to estimate g(22) using these values. Applying the Taylor approximation:

g(22) ≈ g(20) + g'(20)(22 - 20)

≈ 35 + (-2)(2)

≈ 35 - 4

≈ 31

Therefore, the estimated value of g(22) is 31.

For the second estimation, we have g(1) = -17 and g'(1) = 5. We want to estimate g(1.2) using these values. Applying the Taylor approximation:

g(1.2) ≈ g(1) + g'(1)(1.2 - 1)

≈ -17 + 5(1.2 - 1)

≈ -17 + 5(0.2)

≈ -17 + 1

≈ -16

Therefore, the estimated value of g(1.2) is -16.

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Measures which examine the spread of different values around the measures of central tendency is measures of variability.

A central tendency in statistics is a typical or characteristic value for a probability distribution. Measures of central tendency are commonly referred to as averages in everyday speech. In the late 1920s, the phrase "central tendency" first appeared. The arithmetic mean, the median, and the mode are the three most popular ways to measure central tendency. The number used to represent the center or middle of a set of data values is known as the central tendency measure.

Given,

Measures which examine the spread of different values around the measures of central tendency:

B. Measures of variability

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Answer:

not a function

Step-by-step explanation:

the ratios of y/x are not equal

Students should be able to apply these concepts and tools in real-world situations, such as calculating the probability of winning a game or analyzing data from a scientific Experiment.

The probability is a measure of the possibility of an event happening. It is expressed as a fraction or decimal between 0 and 1, or as a percentage between 0% and 100%. Probability can be used to determine the likelihood of an event happening or not happening.

Data analysis is the process of analyzing data to extract valuable insights from it. It involves examining data sets to uncover trends, patterns, and relationships that can be used to make informed decisions. Data analysis is an important tool in many fields, including business, finance, and science.

The data analysis and probability unit test assesses students' understanding of these concepts and their ability to apply them in real-world situations.

The test typically includes questions that require students to use probability to determine the likelihood of an event happening or not happening, as well as questions that ask students to analyze data sets to extract valuable insights.In order to prepare for the data analysis and probability unit test, students should review the key concepts and formulas related to probability, such as the addition rule, the multiplication rule, and the complementary rule.

They should also practice analyzing data sets using tools like histograms, scatter plots, and box plots, and should be familiar with key concepts like mean, median, and mode.

Finally, students should be able to apply these concepts and tools in real-world situations, such as calculating the probability of winning a game or analyzing data from a scientific experiment.

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