find the equation of a line that passes through (3 1) and ia parallel to y=1-2x leave your answer in the form of y=mx+c

The probability that Sam's first upgrade will occur after the third flight = 0.729

Let m represents the number of flights Sam must take in order to receive his first upgrade.

To find the probability that Sam's first upgrade will occur after the third flight.

i.e., to find P(m ≥ 4)

Here,  0.10 probability that a coach-class ticket holder who flies frequently will be upgraded to first class on any flight.

p = 0.10

q = 1 - p

q = 0.90

P(m ≥ 4) = 1 - P(m ≤ 3)

P(m ≥ 4) = 1 - [P(m = 1) + P(m = 2) + P(m = 3)]

P(m ≥ 4) = 1 - [0.1 + (0.9 × 0.1) + (0.9² × 0.1)]

P(m ≥ 4) = 1 - (0.1 + 0.09 + 0.081)

P(m ≥ 4) = 0.729

therefore, the required probability = 0.729

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The complete question is:

An airline claims that there is a 0.10

probability that a coach-class ticket holder who flies frequently will be upgraded to first class on any flight. This outcome is independent from flight to flight. Sam is a frequent flier who always purchases coach-class tickets.

What is the probability that Sam's first upgrade will occur after the third flight?

The function f(x) = ln(2 + sin(x))) is concave up for the range of x [0,2].

To discover the interval(s) on which f(x) = ln(2 + sin(x)) is concave up, compute the function's second derivative and check its sign.

To begin, compute the first derivative of f(x) with respect to x:

(1 / (2 + sin(x)) = f'(x)cos(x)

The second derivative of f(x) can therefore be found by taking the derivative of f'(x) with regard to x:

f''(x) = -(1/(2 + sin(x))(-sin(x)) cos2(x) + (1/(2 + sin(x))

When we simplify f''(x), we get:

f''(x) = -1/(2 + sin(x))²)sin(x)(sin(x)-2)

To discover the interval(s) where f(x) is concave up, we must first locate the interval(s) where f''(x) is positive. Because sin(x) might vary from -1 to 1, we must solve the inequality:

-(1/(2 + 1))^2(-1)(-1-2)≤f''(x)≤-(1 / (2 - 1))²(1) (1-2)

When we simplify this inequality, we get:

1/9 ≤ f''(x) ≤ -1/4

So, f is never negative at 0 ≤ x ≤ 2, so f is concave up in the range 0 ≤ x ≤ 2.

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Complete question - f(x) = ln(2 + sin(x)), 0 ≤ x ≤ 2 . Find the interval(s) on which f is concave up.

The equation "ax2 = y," which has one solution unless a = 4, and none unless a = 4, has a solution. x = √(-4ay) / (2a) restricted by the condition that y be negative.

We may use the quadratic formula to determine the solutions to an equation for various values of an to construct a solution to the equation "ax² = y," which has no solution when a = 4 & just one solution in all other cases.

According to the quadratic formula, the answers to the problem "ax2 + bx + c = 0" are provided by

x = (-b +/- √(b² - 4ac)) / (2a)

In this formula, if we add "ax² = y," we obtain

x = (-0 +/- √(0² - 4ay)) / (2a)

which simplifies to

x = √(-4ay) / (2a)

If a = 4, the equation becomes

x = √(-16y) / 8

The equation has no solutions if y is positive because the value of (-16y) is fictitious. The value of (-16y) is real if y is negative, but the equation is still unsolvable since x cannot have a negative value. As a result, when a = 4, the problem has no solutions.

The equation has a single solution provided by any other value of a.

x = √(-4ay) / (2a)

For example, if a = 3, the equation becomes

x = √(-12y) / 6

Since √(-12y) is imaginary if y is positive, the problem has no solutions. If y is negative, √(-12y) has a real value, and there is only one solution to the problem.

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Answer:

20%

Step-by-step explanation:

16/80=0.2 which is 20%

Answer: 29/116

Step-by-step explanation:

Dave and Tanvir each think of a number, where Dave's number is larger,

The difference between their numbers is 5. Dave's number plus twice Tanvir's number is 26. By forming simultaneous equations, determine each bloke's number. The numbers are 12 and 7.

The number of Dave is 12 and the number of Tanvir is 7.

Given that

Dave and Tanvir each think of a number, where Dave's number is larger.

The difference between their numbers is 5.

Dave's number plus twice Tanvir's number is 26.

To find

By forming simultaneous equations, determine each bloke's number.

So, according to the question

Let's assume that numbers are x and y.

So, we can say that

      x - y = 5 ------------(1)  and

   x + 2y = 26 ------------(2)

We have to solve that equations by using forming simultaneous equations.

For forming simultaneous equations, we have multiply equation(1) by 2, then add eq(2) with result.

So, we will get

      2x - 2y = 10

  (+)  x + 2y = 26

---------------------------

       3x +0 = 36

            3x = 36

             x = 36/3

            x = 12

Putting the value of x in equation (1),

We will get,

        x - y = 5 ------------(1)

        12 - y = 5

            - y = 5 - 12

            - y = -7

              y = 7

The numbers are 12 and 7.

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If Ivan can rinse the dishes in minutes and Lamar can rinse the same dishes in minutes, then their combined rinsing power is dishes per minute. To find out how long it will take them to rinse the dishes together, we need to use the formula:


Ivan's rate: 1 dish/minute
Lamar's rate: 1 dish/minute

When working together, their combined rate is the sum of their individual rates. So, the combined rate is (1 + 1) dishes/minute, which equals 2 dishes/minute.

Now, we can use the formula to find the time it takes for them to rinse the dishes together:

work = rate × time

dishes = (2 dishes/minute) × x

Since the number of dishes is the same for both Ivan and Lamar, we can set up an equation:

dishes = 2x

Solving for x, we find that it will take half the time for them to rinse the dishes together compared to doing it individually.

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The equations can be solved in the following manner. As shown below.

The equations can be solved in the following manner. As shown below.

1.  Multiplication Property of Equality

10a + 35b = 0, 21a - 35b = 217            

2.  Addition Property of Equality

31a = 217

3.  Division Property of Equality

a = 7

4.  Substitution Property of Equality

2(7) +7b = 0

5.  Simplify

14 + 7b = 0

6.  Subtraction Property of Equality

7b=-14

7.Division Property of Equality

b= -2

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The first step to conducting a statistical study is to clearly define the research question or problem.

This involves identifying the population of interest, the variables to be measured, and the hypothesis or objective of the study. Once the research question is clearly defined, the next step is to design the study, including selecting an appropriate sample size, choosing a sampling method, and determining the data collection method.

It is also important to consider potential sources of bias and confounding factors that may impact the study results. Overall, a well-designed statistical study should be able to produce reliable and accurate results that can be used to draw meaningful conclusions about the population of interest.

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Statement 1: Some cats like turkey, the form is I, the subject class is Cats, and the predicate class is Turkey, statement 2: There are burglars coming in the window, the form is E, the subject class is Burglars, and the predicate class is Not coming in the window and statement 3: Everyone will be robbed, the form is A, the subject class is Everyone, and the predicate class is Being robbed.

The given categorical propositions and their forms are as follows:

(1) Some cats like turkey - Form: I:

Subject class: Cats,

Predicate class: Turkey

(2) There are burglars coming in the window - Form: E:

Subject class: Burglars,

Predicate class: Not coming in the window

(3) Everyone will be robbed - Form: A:

Subject class: Everyone,

Predicate class: Being robbed

In the first statement:

Some cats like turkey, the form is I, the subject class is Cats, and the predicate class is Turkey.

In the second statement:

There are burglars coming in the window, the form is E, the subject class is Burglars, and the predicate class is Not coming in the window.

In the third statement:

Everyone will be robbed, the form is A, the subject class is Everyone, and the predicate class is Being robbed.

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Answer:

3p + 3 = 18

3p = 18 -3

3p = 15

p = 15/3

p= 5

Step-by-step explanation:

Answer:

10x + 14

Step-by-step explanation:

begin by distributing the numbers outside of your parentheses:

4x + 4(6)    +     6x - 2(5)

4x + 24 + 6x -10

then just combine like terms:

4x + 6x      +      24 - 10

10x + 14

The area under the standard normal curve to the right of z = -2.3 can be found using a table or a calculator. We need to find the probability that a standard normal random variable Z is greater than -2.3. This is equivalent to finding the area under the curve to the right of -2.3.

To calculate the area under the standard normal curve to the right of z = -2.3, we need to find the probability that a standard normal random variable Z is greater than -2.3. This can be done by converting -2.3 to a z-score and finding the area under the standard normal curve to the right of this z-score.We can use a standard normal distribution table to find the area to the left of z = -2.3, which is 0.0107. To find the area to the right of z = -2.3, we subtract this value from 1.P(Z > -2.3) = 1 - P(Z < -2.3) = 1 - 0.0107 = 0.9893

Therefore, the area under the standard normal curve to the right of z = -2.3 is 0.9893. This means that the probability of getting a z-score greater than -2.3 is 0.9893 or 98.93%. This can be interpreted as the percentage of values that lie to the right of -2.3 on a standard normal distribution curve.This result can be useful in many statistical applications. For example, it can be used to calculate confidence intervals or to test hypotheses. It can also be used to estimate probabilities for other normal distributions, by using the standard normal distribution as a reference.

In conclusion, the area under the standard normal curve to the right of z = -2.3 is 0.9893. This means that the probability of getting a z-score greater than -2.3 is 0.9893 or 98.93%. This can be interpreted as the percentage of values that lie to the right of -2.3 on a standard normal distribution curve. This result can be useful in many statistical applications and can be used to estimate probabilities for other normal distributions.

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Answer:

i think its (4, -6)

Step-by-step explanation:

Answer:

r = 12

Step-by-step explanation:

23 = r + 11

23 - 11 = r

r = 12

Answer:

0.60

Step-by-step explanation:

becouse of two probability within added gives the above answer

\( {p}^{2} + 8 - 8p - p \\ = {p}^{2} - p - 8p + 8 \\ = p(p - 1) - 8(p - 1) \\ = (p - 1)(p - 8)\)

\((p - 1)(p - 8)\)

ray4918 here

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The process of finding the derivative of a function is called differentiation.

Differentiation is a fundamental concept in calculus that involves determining the rate at which a function changes with respect to its independent variable. It allows us to analyze the behavior of functions, such as finding slopes of curves, identifying critical points, and understanding the shape of graphs.

The derivative of a function represents the instantaneous rate of change of the function at any given point. It provides information about the slope of the tangent line to the graph of the function at a specific point.

The notation used to represent the derivative of a function f(x) with respect to x is f'(x) or dy/dx. The derivative can be interpreted as the limit of the difference quotient as the interval approaches zero, representing the infinitesimal change in the function.

By applying differentiation techniques, such as the power rule, product rule, chain rule, and others, we can find the derivative of a wide range of functions. Differentiation is a powerful tool used in various areas of mathematics, physics, engineering, economics, and other fields to analyze and solve problems involving rates of change.

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The quantity we are estimating is 1, so the answer is simply 1.

Using linear approximation, we can approximate sin (9/4) as the first term of the Taylor series expansion of sin(x) around x = pi/2, evaluated at x = 9/4.

sin(x) = sin(pi/2) + cos(pi/2) * (x - pi/2) + higher order terms

= 1 + 0 * (x - pi/2) + ...

= 1

Therefore, sin (9/4) ≈ 1.

The quantity we are estimating is 1, so the answer is simply 1.

Since the answer is a whole number, there is no need to round it to four decimal places.

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Answer:

A

Step-by-step explanation:

Answer:

x=5 and y=5

Step-by-step explanation:

I hope this helps

Answer:

x=5 y=5

Step-by-step explanation:

hope this is what ur looking for

D) On a coordinate plane, a graph titled Total Pages Jacqueline Has Read has days on the x-axis and Pages on the y-axis. A line goes through points (1, 25) and (2, 50).

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given, Jacqueline reads 25 pages every night. Here y is the total number of pages that Jacqueline has read after x days.

Since she reads 25 pages every day and she starts with 0 pages.

Thus, the Total number of pages she reads and a number of days have a proportional relation.

she reads 25 pages a night Meaning that the total number of pages Jacqueline has read (Variable Y) = 25 pages a night (x)

therefore, The correct answer is) D.  Because on the graph you can see that it increases by 25 each day which follows the equation Y=25x.

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Answer:

Option (2)

Step-by-step explanation:

Given function is,

9y - 6 = 3x

y = \(\frac{3x+6}{9}\)

To find the inverse of the given function,

1). Substitute x in place of y and y in place of x.

x = \(\frac{3y+6}{9}\)

2). Now we have to solve this equation for the value of y.

9x = 3y + 6

3y = 9x - 6

y = (3x - 2)

Therefore, inverse of the given function is y = (3x - 2)

Option (2) will be the answer.

Answer:

3 is the gradient.

Step-by-step explanation:

take coordinates through which the line is passing through like

( 0 , -2 )  and ( 6 , 16 )

to find slope/ gradient = ( y2 - y1 )/ ( x2 -x1 )

                                     = ( 16 - -2 ) / ( 6 - 0 )

                                     =  3

to confirm, let me find the equation as well:

y - 16 = 3 ( x - 6 )

y - 16  = 3x - 18

y = 3x - 2

below for visual check. its true and matches. { confirmed }

Take two points

Slope

One problem with the arithmetic mean is that it is influenced by outliers. Because with the presence of outliers , the arithmetic mean will be pulled towards the outlier. So, the correct option is A) it is influenced by outliers.

The arithmetic mean is calculated by summing up all the observations in a dataset and dividing by the number of observations. While it is a commonly used measure of central tendency, it has some limitations. One of the main problems with the arithmetic mean is that it can be strongly influenced by outliers.

An outlier is an observation that is very different from the other observations in the dataset. When outliers are present, the arithmetic mean can be pulled towards the outlier and may not be a good representation of the typical value in the dataset.  So, the answer is A) it is influenced by outliers.

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Answer:

6450.35/90.85 = 71 yards.

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

8n ; n=2

substitute 2 for n

8*2 = 16

Answer:

16

Step-by-step explanation:

plug in 2 for the letter n. 8(2)=16

parantheses mean multiplication.

The probability that the sample mean will be greater than 57.95 is 0.0495.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. This is the basic probability theory, which is also used in the probability distribution.

To solve this question, we need to know the concepts of the normal probability distribution and of the central limit theorem.

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z=\dfrac{X-\mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The Central Limit Theorem establishes that, for a random variable X, with mean \(\mu\) and standard deviation \(\sigma\), a large sample size can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(\frac{\sigma}{\sqrt{\text{n}} }\).

In this problem, we have that:

The probability that the sample mean will be greater than 57.95

This is 1 subtracted by the p-value of Z when X = 57.95. So

\(Z=\dfrac{X-\mu}{\sigma}\)

By the Central Limit Theorem

\(Z=\dfrac{X-\mu}{\text{s}}\)

\(Z=\dfrac{57.95-53}{3}\)

\(Z=1.65\)

\(Z=1.65\) has a p-value of 0.9505.

Therefore, the probability that the sample mean will be greater than 57.95 is 1-0.9505 = 0.0495

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