Find the probability of at least one failure in five trials of a binomial experiment in which the probability of success is %30

Answer:

m∠ABD = 126°

Step-by-step explanation:

if both angles make a linear pair then their sum equals to 180°

you can solve for x

m∠ABD + m∠CBD = 180

6x-12 + x+31= 180

7x + 19 = 180

7x = 161

x=23; now solve for

m∠ABD = 6x - 12 = 6(23) - 12 = 126°

The required measure of m ABD is 23.

In geometry, a linear pair of angles is a pair of adjacent angles formed when two lines intersect each other.

Now it is given that,

m ABD = 6x - 12 and m CBD = x + 31

Since, ABD and CBD form a linear pair

m ABD + m CBD = 180°

6x - 12 + x + 31 = 180°

7x + 19 = 180°

⇒ 7x = 180° - 19

⇒ 7x = 161

⇒ x = 161/7

⇒ x = 23

Thus, the required measure of m ABD is 23.

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The entry Mij is 1 if (i,j) is in A, and 0 otherwise. For example, M11 = 0 since {a}∩{a} = {a} ≠ ∅, but M14 = 1 since {a}∩{a, b} = {a}∩{b} = ∅.

What is a graph?

In computer science and mathematics, a graph is a collection of vertices (also known as nodes or points) connected by edges (also known as links or lines).

(a) The relation A is not reflexive because for any nonempty set X, X∩X = X ≠ ∅, so (X,X) is not in A.

(b) A relation R is irreflexive if and only if for all x, (x,x) is not in R. Since A is not reflexive, it cannot be irreflexive.

(c) The relation A is not transitive. To see this, consider the sets S = {1, 2, 3}, A = {∅, {1}, {2}, {3}}, and B = {1, 2}. Then (S,A) and (A,B) are both in A, since S∩A = ∅ and A∩B = {1, 2}∩{1, 2} = {1, 2} ≠ ∅. However, S∩B = {1, 2} ≠ ∅, so (S,B) is not in A.

(d) The directed graph for A with S = {a, b, c} is as follows:

   {a,b,c}  ->  {a}, {b}, {c}

        ^        ^     ^     ^

        |        |     |     |

        |        |     |     |

        +--------+-----+-----+

The incidence matrix that represents A is a 4 x 8 matrix M, where the rows are indexed by the sets {a, b, c} and ∅, and the columns are indexed by the sets {a}, {b}, {c}, {a, b}, {a, c}, {b, c}, {a, b, c}, and ∅. The entry Mij is 1 if (i,j) is in A, and 0 otherwise. For example, M11 = 0 since {a}∩{a} = {a} ≠ ∅, but M14 = 1 since {a}∩{a, b} = {a}∩{b} = ∅. The incidence matrix M is:

   | a | b | c | a,b | a,c | b,c | a,b,c | ∅ |

----+---+---+---+-----+-----+-----+-------+---+

{a,b,c} | 0 | 0 | 0 |   0 |   0 |   0 |     0 | 1 |

{a}     | 0 | 1 | 1 |   1 |   0 |   0 |     0 | 0 |

{b}     | 1 | 0 | 1 |   1 |   0 |   0 |     0 | 0 |

{c}     | 1 | 1 | 0 |   0 |   1 |   0 |     0 | 0 |

∅       | 1 | 1 | 1 |   1 |   1 |   1 |     1 | 0 |

Therefore, The entry Mij is 1 if (i,j) is in A, and 0 otherwise. For example, M11 = 0 since {a}∩{a} = {a} ≠ ∅, but M14 = 1 since {a}∩{a, b} = {a}∩{b} = ∅.

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Answer:

6.28

Step-by-step explanation:

2×3.14 because this is just simple multiple

When it comes to Bootstrap confidence interval and randomization hypothesis both have a common ground, both of them are regarded as resampling methods that are efficient in measuring accuracy using intervals, prediction error, confidence, variance, bias etc. It also focuses on the crucial point of evaluating the variability of statistics.

The quick set of methods used to construct Bootstrap confidence interval and randomization distribution are similar considering the way they are used.

Furthermore, the thought of using Bootstrap confidence interval or randomization hypothesis depends on the research question. Hence,  choosing from both depends on the type of approach the researcher needs to elucidate the research.

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Answer:

# 8 :should be something along the lines of  

x - 3 = y

Step-by-step explanation:

#8: for example

-2 goes to -5

17 goes to 14

1 goes to -2

3 goes to 0

not entirely sure

The population scenario of Dhaka City is characterized by rapid urbanization, high population density, and significant population growth.

1. The population scenario of Dhaka City is characterized by rapid urbanization, high population density, and significant population growth. These factors have led to numerous challenges, including increased traffic congestion, inadequate infrastructure, and strain on public services. The city's population is growing at a rapid pace, resulting in overcrowding, housing shortages, and environmental concerns.

2. To mitigate the present traffic jam situation in Dhaka City, a restructuring of the population can be pursued through various strategies. One approach is to promote decentralization by developing satellite towns or encouraging businesses and industries to establish themselves in other regions. This would help reduce the concentration of population and economic activities in the city center. Additionally, improving public transportation systems, including expanding the metro rail network, introducing dedicated bus lanes, and enhancing cycling and pedestrian infrastructure, can provide viable alternatives to private vehicles. Encouraging telecommuting and flexible work arrangements can also help reduce the number of daily commuters. Moreover, urban planning should focus on creating mixed-use neighborhoods with residential, commercial, and recreational spaces to minimize the need for long-distance travel.

By implementing these measures, the population of Dhaka City can be restructured in a way that reduces the strain on transportation systems, alleviates traffic congestion, and creates a more sustainable and livable urban environment.

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Answer:

39°

Step-by-step explanation:

At the section the angles are connected, meaning that the angle across from w is the same as w and same applied to x. To find y, you first need to find w, to find the 2nd angle of the triangle of the right.

To do this, you need to add up 42 + 85.

(All triangles angles = 180)

42+85=127

subtract this from 180 to find angle w

180 - 127 = 53

53 = Angle w, which is the same as the angle across from angle w (second angle).

Second, take 53 + 88 = 141

Subtract this from 180

180-141 = 39.

39 is y°

or

y° = 39

Answer:

the one that shows the commutative property of addition is

m + n = n + m

Answer:

14 ornaments.

Step-by-step explanation:

To find the amount of ornaments students can make from 3 1/2 pieces of Bristol board, you will need to divide fractions. Therefore:

Begin by converting '3 1/2' to an improper fraction.

3 1/2 = \(\frac{7}{2}\)

Divide '1/4' from the total amount by multiplying by the reciprocal.

\(\frac{7}{2} * \frac{4}{1} = \frac{7* 4}{2 *1} = \frac{28}{2} = 14\)

Therefore, the students can make 14 ornaments.

The probability that a five-card poker hand does not contain the queen of hearts is 47/52.

We have been given that,

Total card to choose = 5

Total cards in a deck = 52

We need to find the probability that a five-card poker hand does not contain the queen of hearts.

The total ways of choosing 5 cards from a deck of 52 cards = \(^{52}C_5\)

The number of queens of hearts in a deck = 1

The number of cards excluding queens of hearts = 52 - 1

                                                                                  = 51

The total ways of choosing 5 cards from 51 cards = \(^{51}C_5\)

Now we find the required probability.

\(\Rightarrow P= ^{51}C_5 \times ^{52}C_5\\\\\Rightarrow P=\frac{51!}{5!(51-5)!} ~\times \frac{52!}{5!(52-5)!}\\\\\Rightarrow P=\frac{47}{52}\)

Therefore, the probability that a five-card poker hand does not contain the queen of hearts is 47/52.

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All the parts shown in the figure are solved.

A mathematical technique that is used to determine the possible arrangement of the objects when the sequence of selection does not matter.

Part 1

(a) When two dices are rolled the basic outcomes will be =?

Each dice has 6 outcomes and therefore 6* 6 =36

Therefore total 36 basic outcomes.

(b) Yes both the events are equally likely .

Part 2

(a) There can be 11 types of sum from 2 -12 obtained when two dices are rolled

Sum

2 1+1                                                  

3 1+2, 2+1                                          

4 1+3, 2+2, 3+1                                  

5 1+4, 2+3, 3+2, 4+1                            

6 1+5, 2+4, 3+3, 4+2, 5+1                    

7 1+6, 2+5, 3+4, 4+3, 5+2, 6+1          

8 2+6, 3+5, 4+4, 5+3, 6+2          

9 3+6, 4+5, 5+4, 6+3                          

10 4+6, 5+5, 6+4                                  

11 5+6, 6+5                                          

12 6+6    

(b) They are not equally likely as the sum obtained is dependent on both the dice rolling.

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In this problem, we are asked to find the series expansion of the function f(x) = 2e^2x ln(1 + 4x) using the Maclaurin series. The Maclaurin series is a special case of the Taylor series, which represents a function as an infinite sum of terms involving the function's derivatives evaluated at a specific point (in this case, x = 0). We need to determine the second non-zero coefficient of the series expansion and discuss the convergence of the series.

To find the series expansion of f(x), we start by taking derivatives of the function and evaluating them at x = 0. The coefficient of the second non-zero term corresponds to the second derivative of f(x) evaluated at x = 0.

Taking the derivatives of f(x) and evaluating them at x = 0, we can find the coefficients of the series expansion. The second non-zero coefficient is determined by the second derivative, and its value should be calculated.

Regarding the convergence of the series, the series will converge if the terms in the series approach zero as the number of terms increases. Convergence depends on the behavior of the function and its derivatives. In this case, the convergence properties of the series expansion depend on the behavior of the function f(x) = 2e^2x ln(1 + 4x) and its derivatives as x approaches zero. Further analysis is needed to determine the specific conditions under which the series converges.

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Total number of possible outcomes:

From those 36 possible outcomes the next 10 sum of at least 9 ( a number greather than or equal to 9):

Then, the probability of obtaining a sum of at least nine when rolling a pair of dice is:

Value of r is different for every series

let

a , b , c , d ..... be geometric series then

r = b/a or d/c and so on

where r is common ratio

Answer:

47541279.2361

Step-by-step explanation:

Answer:

Not sure what you wanted but here Divide each term by

−

5

-

5

and simplify.

Exact Form:

k

=

−

12

5

k

=

-

12

5

Decimal Form:

k

=

−

2.4

k

=

-

2.4

Mixed Number Form:

k

=

−

2

2

5

Step-by-step explanation:

Answer:

k= -2.4

Step-by-step explanation:

According to the study, economists are not more self-centered than persons in other classes because 51% of the envelopes returned from economics classes and 36% from other classes.

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

At one classroom for economics and another for other topics, they dumped 122 stamped envelopes with addresses and $20 bills inside each.

Let the money returned = R

economics classes = E

other classes = O

a). The following gives the probability statement for the overall percentage of the money returned: 100.P (R)

b). The probability statement that the percentage of money recovered from economics classes is 100.P(R|E)

c). The probability statement that displays the percentage of money returned from the other classes is 100.P(R|O).

d). No, because P(R) is not equal to P(R|E), the money returned is not independent of the classes.

e).  According to the study, economists are not more self-centered than persons in other classes because 51% of the envelopes returned from economics classes and 36% from other classes.

The complete question is:

Three professors at George Washington University did an experiment to determine if economists are more selfish than other people. They dropped 122 stamped, addressed envelopes with $20 cash in two different classrooms (one economics, one not) on the George Washington campus. Of these, 42% were returned overall. From the economics class 51% of the envelopes were returned. From the other class 36% were returned.

From

the business, psychology, and history classes 31% were returned.

Let: R = money returned; E = economics classes; O = other classes

a. Write a probability statement for the overall percent of money returned.

b. Write a probability statement for the percent of money returned out of the economics classes.

c. Write a probability statement for the percent of money returned out of the other classes.

d. Is money being returned independent of the class? Justify your answer numerically and explain it.

e. Based upon this study, do you think that economists are more selfish than other people? Explain why or why not. Include numbers to justify your answer.

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Answer:

Step-by-step explanation:

it has 14 sides

360/14= 25.714

rounding to the nearest tenth we get:

25.7

Among the provided statements, only the statement "Abnormalities in the reflexes can indicate brain damage" is true of newborn reflexes:

Newborn reflexes are automatic, involuntary movements or actions that are exhibited by infants in response to certain stimuli. These reflexes are typically present from birth and serve as important indicators of neurological development and overall health.

Abnormalities or deviations from the expected patterns of newborn reflexes can suggest underlying neurological issues or brain damage.

For example, the absence, asymmetry, or persistence of certain reflexes beyond the expected timeframe can be signs of potential neurological problems that require further evaluation and medical attention.

However, the other statements provided in the options are not accurate:

- Reflexes do not appear until the third week of life: This statement is false. Newborn reflexes are present from birth or shortly after birth, and they can be observed in the early days of a baby's life.

- Newborns have control over their reflexes: This statement is false. Newborn reflexes are instinctual and involuntary responses that occur without conscious control from the infant. As the baby grows and develops, they gain more control over their movements and their reflexes become integrated into voluntary actions.

- These reflexes become involuntary over time: This statement is false. Newborn reflexes are already involuntary from the start. They are not intentionally controlled by the baby and are automatic responses triggered by specific stimuli.

It's important to note that the presence or absence of specific newborn reflexes and their developmental patterns can vary among individuals, but deviations from the norm may indicate potential health concerns and should be addressed by medical professionals.

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9514 1404 393

Answer:

  43/120 ≈ 0.3583

Step-by-step explanation:

Adding up the folks who use two facilities counts the folks who use all three 3 times. So, the number who use two or more facilities is ...

  21 +16 +24 -2(9) = 43 . . . . people who use 2 or more facilities

The probability that a person chosen randomly from the 120 at the sports center uses at least 2 facilities is ...

 43/120 ≈ 0.3583

_____

The given numbers add up as follows:

  Gym only: 42

  Pool only: 18

  Track only: 14

  Gym and Pool only: 12

  Gym and Track only: 15

  Pool and Track only: 7

  Gym and Pool and Track: 9

  No facilities: 3

Answer:

I believe the answer would be x<46

Answer:

I'm fairly sure that it would be D, or the final answer.

Step-by-step explanation:

Since he sold more than 45 waffle cones, x would not equal 45. This is why D is correct. Hope it helps!

Answer:

UW = 117 , SR = 24

Step-by-step explanation:

since the pairs of triangles are similar then the ratios of corresponding sides are in proportion.

(1)

Δ UML ≅ Δ UWV

\(\frac{UW}{UM}\) = \(\frac{UV}{UL}\) ( substitute values )

\(\frac{UW}{45}\) = \(\frac{104}{40}\) ( cross- multiply )

40 UW = 45 × 104 = 4680 ( divide both sides by 40 )

UW = 117

(2)

Δ SRT ≅ Δ KRJ

\(\frac{SR}{KR}\) = \(\frac{ST}{KJ}\) ( substitute values )

\(\frac{SR}{12}\) = \(\frac{16}{8}\) = 2 ( multiply both sides by 12 )

SR = 12 × 2 = 24

The probability that it will not be orange is 0.9

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how probably an event is to do, or how likely it's that a proposition is true.

given:

There are:

5 pink marbles

9 green marbles,

13 blue marbles, and

3 orange marbles.

There is a total of 30 marbles in the jar.

Step 1. Take 1 marble from the jar.

Step 2. Probability that it is orange, = P(orange) = ( 3/30 ) = ( 1/10 ) = 0.10 = 10%

Step 3. Probability that the chosen marble is not orange, = ( 1 - Probability that the chosen marble IS orange) = ( 1 - 0.1 ) = 0.9 = 90%.

hence , the probability that it will not be orange is 0.9

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The slope intercept form of a line which passes through the points (-2, 5) and (6, -4)  is  y = (-9/8)x + 11/4.

According to the question.

A line passes through the two points (-2, 5) and (6, -4).

As we know that, the slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept (0, b). In the formula, b represents the y value of the y intercept point.

So, the slope of the line = -4 -5/(6 + 2) = -9/8

And, the slope intercept form of a line which passes through the points (-2, 5) and (6, -4) is given by

y = (-9/8)x + b

Since, the line passes through (-2, 5) and (6, -4). So, both the points must statisfy the above equation.

⇒ 5 = (-9/8)(-2) + b

⇒ 5 = 9/4 + b

⇒ b = 5 - 9/4

⇒ b = (20 - 9)/4

⇒ b = 11/4

Therefore, the slope intercept form of a line which passes through the points (-2, 5) and (6, -4)  is  y = (-9/8)x + 11/4.

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Answer:

Nitrogen is needed for plant growth the energy to grow, and produce fruit or vegetables. Nitrogen is part of the chlorophyll molecule, which gives plants their green color and is involved in creating food for the plant.

With too much nitrogen, plants produce excess biomass, or organic matter, such as stalks and leaves, but not enough root structure.

Plants take nitrogen from the soil by absorption through their roots as amino acids, nitrate ions, nitrite ions, or ammonium ions. Plants do not get their nitrogen directly from the air.From here, various microorganisms convert ammonia to other nitrogen compounds that are easier for plants to use.

Step-by-step explanation:

Linear regression is a statistical method used to model the relationship between a dependent variable and one or more independent variables. It aims to find a linear equation that best fits the observed data points, allowing for the prediction of the dependent variable based on the independent variables.

In more detail, linear regression assumes a linear relationship between the dependent variable and the independent variables. The method estimates the parameters of the linear equation by minimizing the sum of the squared differences between the observed data points and the predicted values. This is typically done using a technique called ordinary least squares (OLS) regression. The resulting linear equation can be used to make predictions or infer the impact of the independent variables on the dependent variable.

Linear regression is widely used in various fields, including economics, finance, social sciences, and machine learning. It provides a simple and interpretable way to analyze and understand the relationship between variables. However, it is important to note that linear regression assumes certain assumptions about the data, such as linearity, independence of errors, and homoscedasticity. Violations of these assumptions can affect the accuracy and reliability of the regression model.

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Writing linear equations given two points can be a useful skill when graphing linear equations.

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Answer:

Step-by-step explanation:

The disCount will be the differenceb