Chloe is trying to find three consecutive, positive integers such that six times the largest is equal to the twice sum of the two smaller integers. Show that the three consecutive, positive integers 4, 5, and 6 are not the ones Chloe is looking for.

Answer:

h equals nothing

Step-by-step explanation:

bc h is not part of the equation

Answer:

Residual value

Using the concepts of errors and measurement, we got that by taking a larger sample 95% confidence interval for p and would prefer to have a smaller margin of error without losing any confidence.

In science, experimental errors may be caused due to the human inaccuracies like a wrong experimental setup in the science experiment or choosing the wrong set of people for the social experiment. Systematic error refers to that error which is actually inherent in the   system of experimentation.

Hence, if we have calculated a 95% confidence interval for p and would prefer to have a smaller margin of error without losing any confidence. in order to do this, we can take a larger sample.

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The approximate area of the trapezoid is determined as  13.95 unit².

The approximate area of the trapezoid is calculated as follows;

Area = ¹/₂(b₁ + b₂)h

Where;

The y-coordinates of the points on the curve at x=3/2 and x=4 is calculated as follows;

y(3/2) = - (3/2)²/2 + 3/2 + 5

y(3/2) = -9/8 + 3/2 + 5

y(3/2) = 5.375

y(4) = -4²/2 + 4 + 5

y(4) = -8 + 9

y(4) = 1

h = 5.375 - 1 = 4.375

The approximate area of the trapezoid is calculated as;

Area = ¹/₂(5.375 + 1) x 4.375

Area = 13.95 unit²

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Answer: 89m+45=c

Step-by-step explanation:

The equation of a line that is perpendicular to y = 4x + 8 and passes through (−8, 4) is y = - 1 / 4 x + 2 (y equals negative one-fourth times x plus 2)

The equation of the line is perpendicular to y = 4x + 8 and passes through (-8, 4).

Therefore, the equation of a line can be represented as follows;

y = mx + b

where

Therefore, perpendicular lines follows the rule below:

m₁ m₂ = -1

4m₂ = -1

m₂ = - 1 / 4

Hence, let's find the y -intercept using (-8, 4)

y = - 1 / 4 x + b

4 = - 1 / 4 (-8) + b

4 = 2 + b

b = 4 - 2

b = 2

Therefore, the equation is y = - 1 / 4 x + 2

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Answer: D.) y = 4x + 4

Step-by-step explanation:

just did the assignment

The system of linear inequalities to represent Jackson's workout is: 6.9x + 10.4y ≥ 400; x ≤ 45.

Let x be the number of minutes Jackson uses the light stair stepper.

Let y be the number of minutes Jackson uses the vigorous stair stepper.

The calories burned during x minutes of light effort on the stair stepper are 6.9x.

The calories burned during x minutes of vigorous effort on the stair stepper are 10.4y

To burn at least 400 calories, we can write the inequality:

6.9x + 10.4y ≥ 400

To ensure that Jackson has at most 45 minutes to exercise, we can write the inequality: x + y ≤ 45

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In summary, mutually exclusive events are events that cannot occur at the same time.

In probability and statistics, mutually exclusive events are events that cannot occur at the same time. They are also known as disjoint events.

For example, consider the events "rolling a 1 on a fair die" and "rolling an even number on a fair die". These events are mutually exclusive because they cannot occur at the same time. If a die is rolled, it can either be a 1 or an even number, but it cannot be both at the same time.

On the other hand, consider the events "rolling an even number on a fair die" and "rolling a number less than 5 on a fair die". These events are not mutually exclusive because they can occur at the same time. A die can roll an even number and a number less than 5 at the same time, for example 2.

Another way to determine if two events are mutually exclusive is to check if the intersection of the two events is empty. If the intersection of the two events is empty, then the events are mutually exclusive.

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a) The expected number of people who would name chocolate in the sample is approximately 6.30. b) The probability of exactly eight people naming chocolate is given by  \(P(X = 8) = (14 C 8) (0.45^8) (1 - 0.45)^{(14 - 8)\)

c) The probability of eight or more people naming chocolate sum the probabilities of exactly eight, nine, ten, eleven, twelve, thirteen, and fourteen people naming chocolate

(a) To find the expected number of people who would name chocolate in the sample, we multiply the percentage of people who prefer chocolate by the sample size. In this case, 45% is equivalent to 0.45, so we calculate the expected number as 0.45 * 14 = 6.30. Rounding to two decimal places, we expect approximately 6.30 people in the sample to name chocolate.

(b) To calculate the probability of exactly eight people naming chocolate, we use the binomial probability formula. The formula is \(P(X = k) = (n C k) * p^k * (1 - p)^{(n - k)\), where n is the sample size, k is the number of successes (people naming chocolate), p is the probability of success (45% or 0.45), and (n C k) represents the number of combinations. Substituting the values, we have \(P(X = 8) = (14 C 8) * (0.45^8) * (1 - 0.45)^{(14 - 8)\). Evaluating this expression gives us the probability of exactly eight people naming chocolate.

(c) To find the probability of eight or more people naming chocolate, we sum the probabilities of exactly eight, nine, ten, eleven, twelve, thirteen, and fourteen people naming chocolate. Using the same binomial probability formula as before, we calculate the probabilities for each number of successes and add them together to obtain the probability of eight or more people naming chocolate.

Note: Without additional information about the distribution or assumptions, we assume that the survey results are representative of the population and that the responses are independent and identically distributed.

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The horizontal line test is a method used to determine if a given function is one-to-one, which means that for every unique x-value, there is a unique y-value. A function that is one-to-one can be inverted, meaning that it has an inverse function.

The inverse function of a one-to-one function is a function that undoes the original function.

The horizontal line test is used to determine if a given function is one-to-one by drawing a horizontal line through the graph of the function and seeing if the line intersects the graph at most once.

If the function is one-to-one, it has an inverse function and it can be found by switching the x and y values and solving for y.

For example, if the original function is f(x) = 2x + 1, its inverse function is f^-1(x) = (x-1)/2. This inverse function undoes the original function and it can be used to solve equations, find derivatives, and study geometric transformations.

It's important to note that the horizontal line test is only a sufficient condition, meaning that a function that passes the horizontal line test is one-to-one, but not all one-to-one function pass the horizontal line test.

In conclusion, the horizontal line test is a method used to determine if a given function is one-to-one, which is important because one-to-one functions can be inverted.

The inverse function undoes the original function, and it can be found by switching the x and y values and solving for y. The test is simple and easy to apply, but only a sufficient condition.

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We get the repeated addition as ( - 4 ) + ( - 4 ) +( - 4 ) +( - 4 ) +( - 4 ) +( - 4 ) +( - 4 ).

We are given a multiplication expression:

( + 7 ) ( - 4)

We need to write this expression as a repeated addition

Repeated addition means when we add the same digits many times that is repeatedly.

For example: 3 + 3 + 3 + 3 or 8 + 8 + 8 + 8 or 5 + 5 + 5 +5 etc.

Here, we can see that -4 is multiplied by 7

It means that - 4 will be added 7 times repeatedly to form the expression

So, we get that:

= ( - 4 ) + ( - 4 ) +( - 4 ) +( - 4 ) +( - 4 ) +( - 4 ) +( - 4 )

Therefore, we get the repeated addition as ( - 4 ) + ( - 4 ) +( - 4 ) +( - 4 ) +( - 4 ) +( - 4 ) +( - 4 ).

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Types of correlation:

Linear Positive: When the dependient variable increases as the independient variable increases.

Linear Negative: When one variable increases as the other variable decreases.

Non-linear: When the relation is not proportional.

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

In this case the variables are:

- How much water the students drink

- GPA

The correlation is a linear negative correlation as when variable "How much water the students drink" increase the varible "GPA" decreases.

If there are no more variables that affect the GPA then, the conclusion of Jose is correct as he can see that the amount of water that the students drink inversely affects the GPA.

Answer:

Step-by-step explanation:

the graph is at the highest power at the top left corner because the graph shape has a even or odd chance so that is the answer

It's highest power is odd

What is graph of polynomial ?

The graph of a polynomial function will touch the x-axis at zeros with even multiplicities. The graph will cross the x-axis at zeros with odd multiplicities. The sum of the multiplicities is the degree of the polynomial function.

According to the question,

Graph of polynomial is shown in given graph,

(1) at point A graph passes linearly

(2) At point b, graph passes x-axis cubically

(3) At point c, Graph passes x-axis linearly

Hence, polynomial having degree 5

Hence, it's highest power is odd

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Answer:

2x + 4

Step-by-step explanation:

I'm guessing there are no exact numbers

home = x + 4

school = x

x + x + 4

2x + 4

Answer:

34526.25 + 2707.25=37233.5

Step-by-step explanation:

Answer:

13 2/8

Step-by-step explanation:

Answer:

13.25

Step-by-step explanation:

The statement that assigns the finalvalue with the multiplication of number1 and number2 is:

finalvalue = number1 * number2;

In this statement, the * operator is used to perform the multiplication operation between number1 and number2. The result of the multiplication is then assigned to the variable finalvalue.

For example, if number1 is 6 and number2 is 2, the statement would be executed as:

finalvalue = 6 * 2;

After evaluating the expression, the finalvalue would be assigned the value 12.

The statement is flexible and can be tested with different values for number1 and number2. For instance, if number1 is 2 and number2 is -2, the statement would be:

finalvalue = 2 * -2;

In this case, the multiplication would result in -4, and finalvalue would be assigned the value -4. The statement allows for the calculation of the multiplication of any two numbers and assigns the result to finalvalue, making it a versatile and efficient way to perform the multiplication operation.

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Answer:

The estimated probability that Ginger will eat a a pizza everyday of the week is;

D. 8/10 = 80%

Step-by-step explanation:

The given parameters are;

The frequency with which Ginger buys launch = Everyday

The percentage of the time the cafeteria has pizza out = 80%

The outcome of 0 and 1 = No pizza available

The outcome of 2, 3, 4, 5, 6, 7, 8, and 9 = Pizza available

Therefore, we have the;

Group number  \({}\)                          Percentage of time pizza available

1                     \({}\)                          80%

2                     \({}\)                          80%

3                     \({}\)                          80%

4                     \({}\)                          80%

5                     \({}\)                          40%

6                     \({}\)                          100%

7                     \({}\)                          80%

8                     \({}\)                          100%

9                     \({}\)                          80%

10                     \({}\)                          80%

Therefore, the sum of the percentages outcome the days Ginger eats pizza = 0.8 + 0.8 + 0.8 + 0.8 + 0.4 + 1 + 0.8 + 1 + 0.8 + 0.8 = 8

The number of runs of simulation = 10 runs

The estimated probability that Ginger will eat a a pizza everyday of the week = (The sum of the percentages outcome the days Ginger eats pizza)/(The number of runs of simulation)

∴ The estimated probability that Ginger will eat a a pizza everyday of the week = 8/10

Answer:

20%

Step-by-step explanation:

A.p.e.x

expected value of defected lamps =1.5

Probability of 5 defected lamps= 0.166

probability less than five defected lamps=0.995

Given, the probability that a lamp is defective is 0.05. A random sample of 30 lamps is tested.

(a) The number of defective lamps expected in the sample is found by calculating the expected value of the number of defective lamps in a sample. The expected value of the number of defective lamps in a sample is E(X) = np = 30 × 0.05 = 1.5 defective lamps.    

(b) The probability that there are exactly five defective lamps in the sample is found using the probability mass function (PMF) of the binomial distribution. The PMF is P(X = k) = C(n, k) × p^k × (1 - p)^(n - k)

where C(n, k) is the number of ways to choose k items from a set of n items, p is the probability of success, and n is the number of trials.

P(X = 5) = C(30, 5) × 0.05^5 × (1 - 0.05)^(30 - 5) = 0.166.

(c) The probability that there are fewer than five defective lamps in the sample is found using the cumulative distribution function (CDF) of the binomial distribution. The CDF is

P(X ≤ k) = Σ P(X = i) where Σ is the sum from i = 0 to i = k.

P(X ≤ 4) = Σ P(X = i) = 0.995.

The expected value of the number of defective lamps in a sample is E(X) = np = 30 × 0.05 = 1.5 defective lamps.

The probability that there are exactly five defective lamps in the sample is P(X = 5) = C(30, 5) × 0.05^5 × (1 - 0.05)^(30 - 5) = 0.166.

The probability that there are fewer than five defective lamps in the sample is P(X ≤ 4) = 0.995.

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To calculate the axis of symmetry, you must first identify the shape of the figure in question. The calculation for finding the axis of symmetry is different for each shape.

Rectangle: In a rectangle, the axis of symmetry is the midline, which runs vertically through the center of the figure. To calculate the axis of symmetry, divide the width of the rectangle in half and draw a line from the midpoint of the top side to the midpoint of the bottom side.

Parallelogram: In a parallelogram, the axis of symmetry is also the midline, which runs vertically through the center of the figure. To calculate the axis of symmetry, divide the width of the parallelogram in half and draw a line from the midpoint of the top side to the midpoint of the bottom side.

Axis of symmetry is a straight line that separates a two-dimensional figure into two mirror-image halves. The line runs vertically through the center of the figure and can be found in a variety of shapes, including rectangles, parallelograms, and parabolas.

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Answer:

V + F - 2 = E

Step-by-step explanation:

V - E + F = 2 --- add E to both sides

V + F = 2 + E --- subtract 2 from both sides

V + F - 2 = E

Hope this helps! :)

Step-by-step explanation:

Parallel lines cut by a transversal coloring activity is an activity that helps students understand the pattern of angles when parallel lines are cut by a transversal. The activity involves coloring the angles formed by the parallel lines and the transversal in different colors. This helps students identify the different types of angles formed and their relationships with each other.

The cost of ordering 22 solder-less lugs at the list price less 35% will be $101.20.

Solder-less lugs are priced at $4.25 each, including a 40% discount when purchased in standard packages of 100. To find the original price without the discount, we'll first calculate the price before the 40% discount:

$4.25 / (1 - 0.40) = $4.25 / 0.60 = $7.08 (rounded to 2 decimal places)

Now, if you only need 22 solder-less lugs and are eligible for a 35% discount, we'll calculate the discounted price for each lug:

$7.08 * (1 - 0.35) = $7.08 * 0.65 = $4.60 (rounded to 2 decimal places)

Finally, to find the total cost for 22 solder-less lugs with a 35% discount, we'll multiply the discounted price by the quantity ordered:

$4.60 * 22 = $101.20

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Answer:

Slope:  - 4/3

Point (4,1)

Step-by-step explanation:

hope this helps

Answer: See photo for details.

Step-by-step explanation:

the discontinuities of a rational function involves finding the values of x that make the denominator equal to zero, while finding the asymptotes of a rational function involves examining the behavior of the function as x approaches certain values.

Describe the function.

There will be questions on every subject, including created and real places as well as algebraic variable design, on the midterm test. a schematic illustrating the connections between various components that work together to produce the same outcome. A service is made up of many unique parts that work together to produce unique outcomes for each input.

To find the discontinuities of a rational function, we need to determine where the function is undefined. In general, a rational function is a function of the form:

f(x) = p(x) / q(x)

where p(x) and q(x) are polynomials in x, and q(x) is not the zero polynomial. The rational function f(x) is undefined at any value of x that makes the denominator q(x) equal to zero, since division by zero is undefined.

Therefore, to find the discontinuities of a rational function, we need to solve the equation q(x) = 0. The values of x that make q(x) equal to zero are called the "zeros" or "roots" of the denominator q(x). These values of x are the discontinuity points of the function, since the function is undefined at those points.

On the other hand, to find the asymptotes of a rational function, we need to examine the behavior of the function as x approaches certain values. In general, a rational function may have three types of asymptotes: horizontal, vertical, and oblique (also called slant).

Vertical asymptotes occur when the function approaches positive or negative infinity as x approaches a certain value, typically where the denominator q(x) equals zero.

Horizontal asymptotes occur when the function approaches a constant value as x approaches positive or negative infinity.

Oblique asymptotes occur when the degree of the numerator is exactly one greater than the degree of the denominator. In this case, the function approaches a straight line (i.e., a slant asymptote) as x approaches positive or negative infinity.

To summarize, finding the discontinuities of a rational function involves finding the values of x that make the denominator equal to zero, while finding the asymptotes of a rational function involves examining the behavior of the function as x approaches certain values.

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