What is the length of CG??

Answer:

A. 25% off $20

C. $14 plus 7% sales tax

D. $14 plus 7% sales tax

E. 20% off $18 then a 10% shipping fee

Step-by-step explanation:

The rest i did the math and it doesnt add up. But your option B. is either typoed or i dont know. If its a typo then include that in your answer as well

The probability mass function for the random variable would be 0.38742049.

In probability and statistics, a probability mass function is a function that gives the probability that a discrete random variable is exactly equal to some value.

Probability mass function is the probability distribution of a discrete random variable, and provides the possible values and their associated probabilities. It is the function [tex]{\displaystyle p:\mathbb {R} \to [0,1]}[/tex] defined by -

[tex]${\displaystyle p_{X}(x)=P(X=x)}[/tex].

Given is that the probability of corrosion is 0.1 under specific values of half-cell potential and concrete resistivity. the risk of corrosion in five independent grids of a building with these values of half-cell potential and concrete resistivity is investigated now.

We can write the

[tex]$f(x;n,p) = \frac{n!}{x!(n-x)!}\; p^{x} \;(1-p)^{n-x}[/tex]

where -

{x} = number of successes

{n} = number of trials

{p} = probability of a successful outcome

Substituting the values, we get -

[tex]$f(1;10,0.1) = \frac{10!}{1!(10-1)!}\; (0.1)^{x} \;(1-0.1)^{10-1}[/tex]

[tex]$f(1;10,0.1) = 0.38742049[/tex]

Therefore, the probability mass function for the random variable would be 0.38742049.

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The area between -

C{x} = 0.01x² - 3x + 229, R{x} = 429 - 2x and {x} = 0 is 492097.4 square

units.

A function is a relation between a dependent and a independent variable. Mathematically we can write the function as -

y = f(x)

Given is that a factory selling cell phones has a marginal cost function C(x) = 0.01x² - 3x + 229, where {x} represents the number of cellphones, and a marginal revenue function given by R(x) = 429 - 2x.

We can write the area between -

C{x} = 0.01x² - 3x + 229, R{x} = 429 - 2x and {x} = 0 as -

Area = ∫C(x) dx  +  ∫{C(x) - R(x)} dx

We can write the area with limits as -

Area =

∫(0.01x² - 3x + 229) dx             {limits from 229 to 429}

+

∫(0.01x² - 3x + 229 - 429 + 2x) dx       {limits from 429 to 629}

Area = 71548.7 + 420548.7

Area = 492097.4 square units

Therefore, the area between -

C{x} = 0.01x² - 3x + 229, R{x} = 429 - 2x and {x} = 0 is 492097.4 square

units.

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Answer:

The Equation is (300-36)÷6.

Step-by-step explanation:

$300-$36=$264 (The budget after paying the set up fee)

$264/6=44 months. That's how many months she can rent.

So the equation would be (300-36)÷6.

The requried solution of the two linear equations is given as x = (b - d)/a-c and y = a (d - c)/(a-c).

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,

The question seems to be incomplete so the solution is a standard solution by assuming a standard linear equation.

The given equation,
ax + y = b - - - - - (1)
cx + y = d - - - - -(2)

Subtract equation 2 from 1
ax - cx + y - y = b - d

x(a - c) =  b - d
x = b - d / a - c

Now,
Put x in equation 1
a (b - d) / (a - c) + y = b
y = b - a(b - d)/(a - c)
y = ab - ac -ab + ad/(a - c)
y = a (d - c)/(a - c)

Thus, the requried solution of the two linear equation are given as x = (b - d)/a-c and y = a (d - c)/(a - c).

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The question seems to be incomplete,
The solution given is standard solution for the simultaneous equations.

We discover that only the equation associated with answer option D meets all four criteria and has the right vertex:

[tex]y = -2(x - 2)^2 - 6[/tex]

The supplied coordinates (-1, 7), (0, 0), (4, 0), and are all on the graph of this equation, which has a vertex at (2, -6) (5, 7). Hence, D is the right response.

The equation is a mathematical and physical statement that defines physical occurrences. It usually consists of a variable that only presents a physical quantity, with a possible personal variable such as your energy being pointed out.

The function y = x2 - 6 provides the answer to this equation. The vertex of the parabola is (2, -6), which may be determined by calculating the equation's derivative and setting it to 0. The graph includes the coordinates (- 1, 7), (0, 0), (4, 0), and (5, 7) because they are the answers to the equation.

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The expression b²c²d³f⁴ - 4dfbc² when simplified is bdc²f(bd²f³ - 4)

From the question, we have the following parameters that can be used in our computation:

b²c 2d³f4 - 4d fl b[ ]c[] -2​

Express properly

So, we have the following representation

b²c²d³f⁴ - 4dfbc²

Factor out dc² from the expression

So, we have the following representation

b²c²d³f⁴ - 4dfbc² = dc²(b²d²f⁴ - 4fb)

Factor out f from the expression

So, we have the following representation

b²c²d³f⁴ - 4dfbc² = dc²f(b²d²f³ - 4b)

Factor out b from the expression

So, we have the following representation

b²c²d³f⁴ - 4dfbc² = bdc²f(bd²f³ - 4)

Hence, the expression is bdc²f(bd²f³ - 4)

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When a cube's top is chopped off to create a rectangular box, the original cube's side length is 5.43 feet as a result.

A rectangular is a square with four right angles in Euclidean geometry and trigonometry. You may also speak to it as an equiangular tetra, meaning that all of its edges are equal. A straight angle could also be found in the parallelogram. Rectangles with four evenly sized sides are called squares. Four 90 ° vertices and equal equal sides make up a quadrant with the look of a rectangle. As a basis, it's also known as a raster images rectangle. A rectangle is also referred to as a trapezoidal since its opposite angles are equal but parallel.

given

Let x represent the cube's edge in feet.

Cube volume equals side 3

Hence, the given cube's volume,

The top of a cube is now chopped off in a 4 foot thick chunk.

The slice's volume is equal to x x x 4 = 4x2 ft2.

The volume of the final figure is therefore equal to the sum of the volumes of the cut and cube figures.

= ( x³ - 4x² ) ft²

The answer to the query is

Finding the zeros of the function will lead to the discovery of the solution to the aforementioned equation ( by graphing ),

We discovered that

The equation's graph crosses x at (5.426,0)

Hence, 5.426 is the equation's zero.

⇒ x = 5.426 ≈ 5.43

When a cube's top is chopped off to create a rectangular box, the original cube's side length is 5.43 feet as a result.

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The expression to obtain the final probability as a reduced fraction.

A fraction is a mathematical representation of a part of a whole or a part of a group. It consists of two numbers separated by a horizontal line, where the number on the top is called the numerator, and the number at the bottom is called the denominator. The numerator represents how many parts are being considered, and the denominator represents the total number of equal parts that make up the whole or group. Fractions can be written in various forms, such as proper fractions, improper fractions, and mixed numbers, and can be added, subtracted, multiplied, and divided using specific rules and techniques.

We cannot provide a specific numerical answer without more information on the gender and grade distribution of the students. However, we can use the following formula to calculate the probability that a student is either male or earned grade A:

P (male or grade A) = P(male) + P (grade A) - P (male and grade A)

The probability of selecting a male student and the probability of selecting a student who earned a grade A are two independent events, so we can add their probabilities. However, we need to subtract the probability of selecting a male student who also earned a grade A, since we don't want to count that student twice.

If we have the probabilities of each event, we can plug them into the formula and simplify the expression to obtain the final probability as a reduced fraction.

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The height of the given triangle having an area of 13.5in.² and a base length of 6.75 in. is 4 in.

What is a triangle?

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total. Any three points in Euclidean geometry, when they are not collinear, produce a distinct triangle.

In a two-dimensional plane, a triangle's area is the area that it completely encloses. A triangle is a closed shape with three sides and three vertices, as is common knowledge. The entire area occupied by a triangle's three sides is referred to as its area. Half of the product of the triangle's base and height provides the general formula for calculating the area of the triangle.

In this question, we are given,

Area of triangle A = 13.5 in.²

Base of triangle b = 6.75 in.

We are asked to find the height h of the triangle.

Now formula of the area is:

A = 1/2 * b * h

13.5 = 1/2 * 6.75 * h

h = 13.5 *2 / 6.75 = 4 in.

Therefore the height of the given triangle is 4 in.

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Answer: To find the percent of waste, we need to first determine the fraction of waste.

For every 32 square feet used, 2 square feet are wasted. This can be expressed as:

2/32 = 1/16

So, the fraction of waste is 1/16.

To find the percentage, we need to multiply this fraction by 100:

1/16 * 100 = 6.25

Therefore, the percent of waste is 6.25%.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here are the steps to calculate the percent waste of sheet steel:

Determine the amount of steel wasted per unit of steel used. The problem tells us that 2 sq ft of steel is wasted for every 32 sq ft used. Therefore, the waste-to-use ratio is 2/32.

Simplify the waste-to-use ratio, if necessary. In this case, the ratio can be simplified by dividing both the numerator and denominator by 2:

2/32 = 1/16

Convert the waste-to-use ratio to a percentage. To do this, we multiply the simplified ratio by 100:

1/16 * 100 = 6.25

Round the result, if necessary. The problem asks for a whole number or an exact decimal, so we round the result to one decimal place:

6.25 rounded to one decimal place is 6.3.

Therefore, the percent waste of sheet steel is 6.3%.

Answer:

the answer is (a) the probability that a person will order pie

what is combination ?
In mathematics, a combination is a way of selecting items from a collection, such that the order of selection does not matter. The combination formula gives the total number of ways to choose k items from a set of n distinct items without regard to the order in which they are chosen.

The combination formula is given by:

n choose k = n! / (k! * (n-k)!)

Explanation:
If we have 10 color-coded wires, we can choose 2 wires out of them in (10 choose 2) ways.

(10 choose 2) is a combination formula given by:

(10 choose 2) = 10! / (2! * (10-2)!)

= (10 * 9) / 2

= 45

This means that we need to perform 45 tests to cover all possible pairings of 2 wires from 10 color-coded wires.

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From the graph, the value of the function g(-9) is 1

From the question, we are to evaluate the function using the given information from the graph.

The given function is g(-9)

To evaluate the function, g(-9), from the graph, we will locate the point where x = -9 on the cartesian plane and then we will trace the point straight to the function graph. From the point on the function graph, we will read the value on the y-coordinate of the point by tracing a straight line to the y-axis.

From the graph,

The value of g(-9) is 1

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The value following are

vertex: (6, -9)

y-intercept: (0, 27)

X = 3, 9

Finding Vertex (Part A)

Consider the formula -b/2a. This formula gives you the x-coordinate of the vertex.

[tex]y = 1x^2 - 12x + 27[/tex]

a = 1

b= -12

c =27

-b/2a = - (-12)/2(1) = 12/2 = 6 (x-coordinate of vertex)

When solving for the y-coordinate of the vertex you will need to substitute your 'x" back into the equation.

[tex]y = 1(6)^2 - 12(6) + 27[/tex]

y = 36 - 72 + 27 = -9 (y-coordinate of vertex)

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

Y- Intercept (Part B)

When looking for the y-intercept your "x" must always be 0.

Substitute 0 in every "x" in the equation.

y =[tex]1(0)^2 - 12(0) + 27[/tex]

y = 27

y-intercept: (0, 27)

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

X- Intercepts (Part C)

To find the values of the "x" factor.

[tex]y = 1x^2[/tex] - 12x + 27

[tex]0 = 1x^2[/tex] - 12x + 27

0 = (x  - 3     )(x   -  9 )

(x-3) = 0             (x-9) = 0

x = 3                    x = 9

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200 pounds need to collect to earn the $50.00. Divide the cost per pound from the total amount needed, [tex]\frac{50.00}{0.25}[/tex]= 200 pounds.

The official money of the U.k. and its regions is the GBP, or British pound sterling. The Pound is the earliest currency that is still accepted as legal tender in the entire world. The GBP, represented by pound sign (£), has one of the greatest trade volumes worldwide.

The development of the pounds sterling -The Latin word "libra," which means balance and weight, is where the name "pound sterling" comes from. During the years, the pound banknotes underwent various revisions before being initially printed by the Bank of England and over 300 years ago.

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Answer:

Please Mark As Brainliest Answer

Step-by-step explanation:

In many contexts, we can estimate distances between objects or locations, but we may not always be able to measure them precisely. There are several reasons why we might only be able to estimate distances rather than measure them exactly:

Limitations of measuring instruments: The precision of a measuring instrument can limit our ability to measure distances accurately. For example, a ruler may only have markings up to a certain level of precision, so we may need to estimate distances between the markings.

The variability of the distance: In some cases, the distance we are measuring may be constantly changing, making it difficult to measure with precision. For example, if we are trying to measure the distance between two moving objects, the distance between them will constantly change, and we may need to estimate the distance at a particular moment in time.

Environmental factors: The environment can also make it difficult to measure distances precisely. For example, atmospheric conditions such as haze or fog can obscure objects and make it difficult to judge their distance accurately.

Human perception and judgment: Finally, our own perception and judgment can also limit our ability to measure distances accurately. For example, when estimating the distance to an object, our perception of the size of the object can affect our judgment of its distance.

In many cases, despite these limitations, estimates of distances can still be useful and informative. For example, in navigation, we may not need to know the exact distance between two points, but only an estimate that is accurate enough to help us navigate from one point to the other

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Verified Answer ✅

Answer:

Step-by-step explanation:

To solve the equation (-1)/(x-5) = 2/(x+4), we can start by cross-multiplying:

(-1)(x+4) = 2(x-5)

Expanding both sides and simplifying, we get:

-x - 4 = 2x - 10

Bringing all the x terms to one side and all the constant terms to the other, we get:

3x = 6

Dividing both sides by 3, we get:

x = 2

So the solution to the equation is x = 2. However, we need to check if this value of x makes the denominators of the original equation non-zero. Plugging x = 2 into the original equation, we get:

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

Simplifying, we get:

1/3 = 1/3

Since both sides are equal, the solution x = 2 satisfies the original equation. Therefore, the only solution to the equation is x = 2.

Answer: x = 2

Step-by-step explanation:

    [tex]\boldsymbol{\sf{The\:exercise\:is \longmapsto \ \dfrac{-1}{x-5}=\dfrac{2}{x+4} }}[/tex]

We cross multiply.

     -(x + 4) = 2(x - 5)

We apply the multiplicative law of distribution.

       -x -4 = 2(x - 5)

       -x - 4 = 2x - 10

We rearrange the unknown terms to the left side of the equation.

       -x - 2x = -10 + 4  <===Combine as terms===> -3x = -10 + 4

We calculate -10 + 4 = -6.

       -3x = -6

We divide both sides of the equation by the coefficient of the variable.

       [tex]\boldsymbol{\sf{x=\dfrac{-6}{-3} \iff \ x=\dfrac{6}{3} }}[/tex]

      x = 2

The point slope form of a linear equation is an equation that describes the relationship between two variables, x and y, in terms of their linear relationship.

It takes the form:.y - y₁ = m(x - x₁)

where (x₁, y₁) is a point on the line and m is the slope of the line.

In this form, you can find the equation of a line if you know a point on the line and the slope of the line. You can also use this form to find the equation of a line if you are given two points on the line, by first finding the slope using the two points, and then plugging in one of the points and the slope into the equation.

The point slope form can be useful in a variety of contexts, such as in graphing and in solving problems involving rates of change.

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The correct interpretation of the interval is " We are 99 percent confident that the mean level of the contaminant in all the water in the region is between 22.5 ppb and 28.7 ppb "

What is confidence interval?

In statistics, the probability that a population parameter will fall between a set of values for a predetermined percentage of the time is referred to as the confidence interval. Analysts frequently employ confidence ranges that include 95% or 99% of anticipated observations.

We need to find correct interpretation of the interval.

Among all answer choices given, the correct  option is :

We are 99 percent confident that the mean level of the contaminant in all the water in the region is between 22.5 ppb and 28.7 ppb

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The values are :

What is trigonometry ?

Trigonometry is a branch of mathematics that deals with the relationships and properties of angles and the trigonometric functions such as sine, cosine, and tangent. It is based on the study of the geometric properties of triangles and is used extensively in fields such as physics, engineering, architecture, and astronomy.

In trigonometry, the relationships between the sides and angles of a triangle are expressed using the six trigonometric functions: sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent (cot). These functions describe the ratios between the sides of a right triangle, where one angle is 90 degrees. Trigonometric functions can also be defined for any angle, not just those in a right triangle, using the unit circle or other methods.

Trigonometry has many practical applications, such as in navigation, surveying, and the design of structures such as bridges and buildings. It is also used extensively in science and engineering, particularly in fields such as physics, mechanics, and electromagnetics.

If tan x = 0, then tan(-x) = 0.

The tangent function is an odd function, which means that tan(-x) = -tan(x). However, since tan x = 0, this means that -tan(x) = 0 as well. Therefore, tan(-x) = 0.

If sin x = 0.3, then sin(-x) = -0.3.

The sine function is an odd function, which means that sin(-x) = -sin(x). Since sin x = 0.3, this means that -sin(x) = -0.3. Therefore, sin(-x) = -0.3.

If cos x = 0.3, then cos(-x) = 0.3.

The cosine function is an even function, which means that cos(-x) = cos(x). Since cos x = 0.3, this means that cos(-x) = 0.3 as well.

If tan x = -2, then tan(pi+x) = tan(pi + atan(-2)) = tan(2.0344 + pi) = -2.

To find tan(pi + x), we need to use the identity tan(a + pi) = -tan(a). In this case, a = atan(-2), which is the inverse tangent of -2. Using a calculator or a table, we can find that a is approximately 2.0344 radians. Therefore, tan(pi + x) = -tan(2.0344) = -(-2) = 2.

Hence, values are

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Answer:

while True:

   user_input = input("Please enter a sequence of comma-separated numbers: ")

   if user_input.replace(",", "").isdigit():

       break

   print("Invalid input! Please try again.")

num_list = user_input.split(",")

num_list = [int(num) for num in num_list]

total_sum = sum(num_list)

print("The sum of the numbers is:", total_sum)

Step-by-step explanation:

This program uses a while loop to repeatedly ask the user for input until they provide a valid sequence of comma-separated numbers (all-digit input). The .isdigit() function is used to check if the input is all-digit. If the input is valid, the program splits the input string at each ',' using the .split() function, converts each item in the resulting list into an integer using list comprehension, then adds all numbers together using the sum() function. Finally, the program outputs the total sum.

Answer:

Step-by-step explanation:

a) The formula for the regression function is:

Maintenance Cost = 54.7757 + 120.689 x Age of Car

b) The slope of the regression equation is 120.689. This means that on average, for every one year increase in the age of a car, the maintenance cost is expected to increase by $120.689.

c) To construct a 95% interval to predict the maintenance cost for a car that is 7 years old, we can use the formula:

Y = a + bX ± tα/2 * SE

where Y is the predicted maintenance cost, a is the intercept, b is the slope, X is the age of the car, tα/2 is the t-value for the 95% confidence level with n-2 degrees of freedom (11 in this case), and SE is the standard error of the estimate.

Plugging in the values, we get:

Y = 54.7757 + 120.689 * 7 ± 2.201 * 11.8442

Y = 923.167 ± 26.010

Therefore, we can be 95% confident that the maintenance cost for a car that is 7 years old will be between $897.16 and $949.17.

d) The null hypothesis is that there is no significant linear relationship between the average maintenance cost and the age of a car in years. The alternative hypothesis is that there is a significant linear relationship between the average maintenance cost and the age of a car in years.

To test the hypothesis, we can perform a t-test on the slope coefficient using the t-statistic and the p-value provided in the output. The t-statistic is 10.1898, which is much greater than the critical t-value at the 0.05 level of significance for a two-tailed test with 11 degrees of freedom (2.201). The p-value is 0.0000, which is less than the significance level of 0.05. Therefore, we can reject the null hypothesis and conclude that there is a significant linear relationship between the maintenance cost and the age of the car in years.

The fraction of the teams that raised the extra money, given the number of teams laps needed to be walked, is D.  1 / 3

To find the fraction of teams that raised the extra money, you need to count the number of teams who were able to walk more than 50 laps. The number of teams who walked more than 50 laps walked:

53, 63, 63, and 65 miles so 4 teams did so.

The total number of teams is the number of leafs which is 12 teams.

The fraction of teams who raised the extra money is :

= 4 teams / 12 total teams

= ( 4 ÷ 4 ) / ( 12 ÷ 4 )

= 1 / 3

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The statement that the Property damage liability pays for injuries to a driver or their passengers caused by an uninsured or underinsured driver is false.

Auto insurance policy is a contract between the insurance company and the person being insured which protects the person under any financial loss caused by accident or theft.

There are mainly six types of auto insurance coverage that the company basically provide.

They are Property damage liability, Bodily injury liability, PIP, Uninsured and underinsured motorist coverage, collision and comprehensive.

Property damage liability pays for the damage that the person insured causes to someone else's property, which include someone else's car, buildings or so.

The given coverage in the statement is the Uninsured and underinsured motorist coverage.

Hence the given statement is false.

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Answer: 1/64 cubic inch

Step-by-step explanation:

Side of cube = 1/4

Volume = s^3 = 1/4^3

= 1/64

Hope this helps!!