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Which inequality does this graph show?

The business can anticipate losing roughly $55.20 as a result of subpar inspections.

Probability is a measure of the likelihood or chance of an event occurring. It is usually expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

If the bottles pass inspection with probability 98/100, then they fail inspection with probability 1 - 98/100 = 2/100 = 0.02.

Out of 800 bottles of laundry detergent, we can expect about 0.02*800 = 16 bottles to fail inspection.

The cost to the company for each failed bottle is $3.45, so the total cost to the company is approximately 16*$3.45 = $55.20.

Therefore, the company can expect to lose about $55.20 due to failed inspections.

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The product or multiple of 3.8 and 11.9 by rounding off (simplification) is equal to 45.22.

Simplification means keeping it simple. In mathematics, it simplifies or simplifies formulas/fractions/problems into simpler forms. Simplify the problem with calculations and solutions. 

Simplification generally means finding answers to complex calculations involving division, multiplication, square roots, cube roots, plus and minus numbers. 

Simplicity complicates deadpan, making it easier to understand and solve. Here are some advantages of solving a problem or equation by simplification.

It helps you solve your problem in fewer steps. Complex problems can be reduced to simpler forms by following the rules of simplification 

According to the question:

3.8×11.9 = (38/10)×(119/10)

             = 4522/100

             = 45.22

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Answer:

The correct answers are:

As x approaches positive infinity, f(x) approaches positive infinity.

As x approaches negative infinity, f(x) approaches 0.

Step-by-step explanation:

Answer: 18 blinks per minute

Step-by-step explanation: so for this you take 54 and divide it by three

54/3=18

blinks per minute=18

Answer:

18

Step-by-step explanation:

54\3=18

therefore Jan blinks 18 times per minutes

The length of the shadow cast by a nearby elm tree that that is 16 feet tall is given as follows:

12 feet.

The length of the shadow is obtained applying the proportions in the context of the problem.

A shadow 9 feet long is cast by a plum tree that is 12 feet tall, and we want the shadow for a tree that is 16 feet tall, hence the rule of three is given as follows:

9 feet - 12 feet

x feet - 16 feet.

Applying cross multiplication, the shadow is obtained as follows:

12x = 9 x 16

12x = 144

x = 144/12

x = 12 feet.

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The orthogonal complement of the column space of a matrix A is the set of vectors that are perpendicular to the vectors in the column space. To find a basis for the orthogonal complement of the column space of A, we can use the Gram-Schmidt process.

This process starts with the columns of A, orthogonalizes them, and then adds the orthogonalized vectors to the basis of the orthogonal complement. We can find a basis for the orthogonal complement of the column space of A by performing the Gram-Schmidt process.

The result of this process is [[1,2,-1,0], [2,3,0,1]], which is the basis of the orthogonal complement of the column space of A.

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The function shown in graph is nether odd nor even function.

If f(−x)=f(x) for all x with in domain of f, then a function f is even. If f(x)=f(x) for every x in f's domain, a function f is odd.

In the given graph.

The graph of the function is nether increasing nor decreasing as, the y value of the function is going along both y - axis and -y axis.

Thus, the function shown in graph is nether odd nor even function.

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The inverse of a function, denoted f^-1(x), is a function that "undoes" the original function. In other words, if f(x) = y, then f^-1(y) = x.

To find the inverse of a function from a table of values, we simply switch the x and y values. So, for the given table of values:
x | 1 | 2 | 3 | 4 | 5 | 6
---|---|---|---|---|---|---
f(x) | 7 | 9 | 3 | 0 | 4 | 1
The inverse function f^-1(x) would have the table of values:

x | 7 | 9 | 3 | 0 | 4 | 1
---|---|---|---|---|---|---
f^-1(x) | 1 | 2 | 3 | 4 | 5 | 6
Now, to find f^-1(0), we simply look for the value of x that corresponds to f^-1(x) = 0. From the table, we can see that f^-1(0) = 4.

Therefore, the answer is f^-1(0) = 4.

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1. To raise prices, the best alternative is to increase the price of 200-level seats to $60 or higher. To lower prices, the best alternative is to reduce the price of 300-midcourt seats to $35 or lower.

2. Administration could raise 300 mid-level seat prices to make them as attractive as the next best alternative. To calculate the optimal level, the cost of the next best alternative (200-level seats) needs to be compared with the cost of the 300-midcourt seats. If the cost of the 300-midcourt seats is lower than the cost of the 200-level seats, administration should raise the price of the 300-midcourt seats to match the cost of the 200-level seats. The attractiveness of the two options should be assessed to determine if the 300-midcourt seats should be priced at the calculated level.

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Answer: Option B is the correct answer

Step-by-step explanation:

Area of lateral surface = 3 x Area of rectangle

The rectangle is of  5 inches wide and 14 inches long.

Area of rectangle =  5 x 14 = 70 square inches

Area of lateral surface = 3 x Area of rectangle

Area of lateral surface = 3 x 70 = 210 square inches

Option B is the correct answer.

The sum of number is 270, after adding 5 to each number , sum of numbers is 320 and mean is 32.

The mathematical average of a group of two or more numbers is arithmetic mean, add the numbers in a set together and divide by the total number of numbers in the set.

Here the mean of 10 number is 27. We know that ,

[tex]mean=\frac{sum of numbers}{total numbers}\\[/tex]

[tex]27= \frac{sum of numbers}{10}[/tex]

=sum of numbers = 27*10=270.

Now 5 added to each number, we need to add 5 in 10 times( because 10 total number), Then 5*10=50.

Sum of numbers after adding 5 to each number [tex]270+50=320[/tex]

Now, [tex]mean=\frac{320}{10}=32[/tex]

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Therefore , the solution of the given problem of unitary comes out to be child can purchase 39 roller coaster excursions with 273 ride tickets as a result.

To finish the job using the unitary technique, the expression from this nano section should be multiplied by two. In essence, when a wanted object is present, both the characterised by either a group and the pigment sections are omitted from the unit method. A variable fee of Inr ($1.01), for instance, would be paid for 40 pens. It's conceivable that one nation will have complete control over the strategy used to achieve this. Almost all living things have a unique trait.

Here,

The boy can purchase the following amount of roller coaster rides:

39 trips using 273 ride tickets at 7 tickets each (rounded down to the nearest whole number)

The child can purchase 39 roller coaster excursions with 273 ride tickets as a result.

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The missing side in the triangle has a length of 9.899.

In an isosceles triangle, the two sides are equal and the angles opposite to the two equal sides are also equal.

In the figure, ∠RQS = ∠RSQ =45°

Thus, it is an isosceles triangle with sides RQ=RS= 7

What is Pythagoras' theorem?

According to Pythagoras' theorem for a right-angled triangle:

Base² + Height²= Hypotensuse²

In the given figure: Base = 7 and Height = 7,

Thus, QS²= RQ² + RS²

          QS² = 7² + 7²

           QS = √98

                 =9.899    

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Answer: If the ratio is 1:200,000 then the length of the road in centimeters is 800,000 centimeters meaning the conversion of this to kilometers would be 8 kilometers

Step-by-step explanation: every 100k (100,000) cm in kilometers would be 1 kilometer so take that and for the 200,000 times 4 is 800,000 which means the answer is 8 kilometers

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It will take approximately 13.86 years for the money to double when it is invested in an account earning 5% compounded continuously.

To find out how long it will take for the money to double, we can use the formula for continuous compounding: A = Pe^(rt), where A is the final amount, P is the principal amount, r is the interest rate, and t is the time in years.

We are given that P = $50,000, r = 5%, and A = 2P = $100,000. We need to solve for t.

Plugging in the given values, we get:

$100,000 = $50,000e^(0.05t)

Dividing both sides by $50,000, we get:

2 = e^(0.05t)

Taking the natural logarithm of both sides, we get:

ln(2) = 0.05t

Solving for t, we get:

t = ln(2)/0.05

t ≈ 13.86 years

Therefore, it will take approximately 13.86 years for the money to double when it is invested in an account earning 5% compounded continuously.

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The required correct option out of given is B) This scale factor results in an enlarged image is correct.

Finding the dilation's center point is the first step in determining the scale factor. Next, we measure the distances between the center point and various points on the preimage and the image. According to Math Bits Notebook, the scale factor is equal to the ratio of these lengths.

When the scale factor of a dilation is greater than 1, the image is an enlargement.

In this case, the scale factor is 8:7, which means that every length in the image is 8/7 times larger than the corresponding length in the original figure. Therefore, the image is larger than the original figure.

So; B) This scale factor results in an enlarged image is correct.

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The given transformations are vertical stretch by a factor of 4, translation 5 units right, and reflection over the x-axis. We can apply these transformations to a function f(x) in the following way:

1. Vertical stretch by a factor of 4: This transformation will multiply the y-values of the function by 4. The new function will be g(x) = 4f(x).

2. Translation 5 units right: This transformation will shift the graph of the function 5 units to the right. The new function will be h(x) = g(x - 5) = 4f(x - 5).

3. Reflection over the x-axis: This transformation will reflect the graph of the function over the x-axis. The new function will be k(x) = -h(x) = -4f(x - 5).

Therefore, the final transformed function will be k(x) = -4f(x - 5).

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Answer:

$109+$281=x when x=391

so that means a laptop equals $391 dollars

The future value of $2000 earning 18% interest, compounded monthly, for 4 years is $6,116.23.

To calculate the future value, we use the formula:

[tex]FV = P(1 + r/n)^{nt}[/tex]

Where:

FV is the future value

P is the principal amount ($2000)

r is the annual interest rate (18%)

n is the number of times the interest is compounded per year (12 for monthly compounding)

t is the number of years (4)

Plugging in these values, we get:

[tex]FV = 2000(1 + 0.18/12)^{12*4}[/tex]

FV = 6116.23

Therefore, the future value of $2000 earning 18% interest compounded monthly for 4 years is approximately $6,116.23. This means that if you invest $2000 today and earn 18% interest compounded monthly for 4 years, your investment will grow to $6,116.23 at the end of the 4-year period. It's important to note that the actual value may vary depending on the exact compounding method used by the bank or financial institution.

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Answer:

Step-by-step explanation:

A=[tex]\frac{1}{2}[/tex]bh

  =[tex]\frac{1}{2}[/tex]×34×14

  =238 in²

Based on the histograms, it appears that Machine B is doing a better job of dispensing the correct amount of liquid.

The most common graph for displaying frequency distributions is a histogram.

To begin, Machine B's histogram is more symmetrically distributed around the 5.5-ounce mark, which is the target fill level.

Machine A's histogram, on the other hand, is skewed to the right, indicating that it is more likely to dispense more than 5.5 ounces.

Second, Machine B's histogram has a narrower spread, with most measurements falling between 5.4 and 5.6 ounces.

This indicates that the machine fills the bottles consistently within a narrow range of the target fill level.

Thus, the histogram for Machine A, on the other hand, has a wider range, with some measurements falling below 5.4 ounces and others exceeding 5.6 ounces, indicating a less consistent performance.

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Your question seems incomplete, the probable complete question is:

Answer:

When you make 3x + y = -8 into a slope intercept equation it will become the same question

3x + y = -8

-3x      |       -3x

y = -3x - 8

Answer:

50%

Step-by-step explanation:

percent change = (new number - old number)/(old number) × 100%

Here, the new number is 2.

The old number is 4.

percent change = (2 - 4)/(4) × 100%

percent change = -2/4 × 100%

percent change = -50%

Since the percent change is negative, it's a percent decrease.

The percent decrease is 50%.

Answer:

(a) The probability that a selected component of this type will last more than 4 years is 0.69.

(b) The probability that a two-year-old component of this type will last an additional 4 years is 0.57.

(c) The 25th percentile of the lifetimes of such components is 3.38 years.
Explanation:

(a) The Gamma distribution has the following probability density function:
f(x) = (λ^α/Γ(α))x^(α-1)e^(-λx)
Where α is the shape parameter, λ is the rate parameter, and Γ(α) is the Gamma function. The mean and variance of the Gamma distribution are:
Mean = α/λ
Variance = α/λ^2
Given that the mean is 5 years and the variance is 25 years^2, we can solve for α and λ:
5 = α/λ
25 = α/λ^2
Solving for α and λ gives us α = 5 and λ = 1. So the probability density function is:
f(x) = (1^5/Γ(5))x^(5-1)e^(-1x)
The probability that a selected component will last more than 4 years is the integral of the probability density function from 4 to infinity:
P(X > 4) = ∫_4^∞ f(x) dx = 0.69

(b) The probability that a two-year-old component will last an additional 4 years is the conditional probability:
P(X > 6 | X > 2) = P(X > 6 and X > 2)/P(X > 2) = P(X > 6)/P(X > 2) = 0.57

(c) The 25th percentile of the lifetimes of such components is the value of x such that the cumulative distribution function is 0.25:
F(x) = 0.25
∫_0^x f(x) dx = 0.25
Solving for x gives us x = 3.38 years.

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The solution to the inequality is x ≤ 6.8. This means that Elise can afford to rent the paddle boat for a maximum of 6.8 hours if she has $15 to spend.        

Why does inequality matter?

Experts claim that disparity fosters political unrest and impedes economic growth. Concentrated financial resources reduce demand for products and services because affluent families generally spend less of their revenue than do poorer households. If low-income people have fewer choices, the company might suffer.

To solve the inequality 1.25x + 6.50 ≤ 15, we can start by isolating x on one side of the inequality:

1.25x + 6.50 ≤ 15

Subtract 6.50 from both sides:

1.25x ≤ 8.50

Divide both sides by 1.25:

x ≤ 6.8

Therefore, the solution to the inequality is x ≤ 6.8. This means that Elise can afford to rent the paddle boat for a maximum of 6.8 hours if she has $15 to spend.

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The given statement " If A is an m x n matrix and B is an n x n matrix, then A × B is an m x n matrix" is True.  Correct answer of (a) is T.

This statement is definately true because, it helps to consider the dimensions of a matrix. The dimensions of a matrix refer to the number of rows and columns it contains. In the case of an m x n matrix (A) and an n x n matrix (B), the dimensions of A are m rows and n columns, while the dimensions of B are n rows and n columns.

When A is multiplied by B, the result is an m x n matrix, meaning it contains m rows and n columns. This is due to the fact that the number of columns of the first matrix (A) must equal the number of rows of the second matrix (B) in order for the matrices to be compatible for multiplication.

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Using angle theorems the value of x = 67.5°

Angle theorems are rules that govern the properties of angles.

Given that we have the figure and we desire to find angle x, we proceed as folllows.

Now, we notice that one angle is a right angle and it is equal to 90°.

Also, we notice that all the angles meet at the same point.

So, we have that

x + 3x + 90° = 360° (sum of angles at a point)

Solving for x, we have that

x + 3x + 90° = 360°

4x + 90° = 360°

4x = 360° - 90°

4x = 270°

x = 270°/4

x = 67.5°

So, the value of x = 67.5°

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Shaun ordered 7 tacos and 8 burritos, for a total of 160160 calories from tacos and 320320 calories from burritos.

To solve this problem, we need to use a system of equations. Let's call the number of tacos Shaun ordered x and the number of burritos he ordered y. We can then write the following equations:

160x + 320y = 3680 (the total number of calories consumed)
x + y = 15 (the total number of items ordered)

We can rearrange the second equation to get y = 15 - x and then substitute that into the first equation to solve for x:
160x + 320(15 - x) = 3680
160x + 4800 - 320x = 3680
-160x = -1120
x = 7

Now that we know x, we can plug it back into the second equation to solve for y:
7 + y = 15
y = 8

So, Shaun ordered and ate 7 tacos and 8 burritos.

Tacos eaten (x) : 7
Burritos eaten (y) : 8

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Answer: 112°

Step-by-step explanation:

The angles are supplementary so add to 180°

(2x) + (3x + 10) = 180

Combine Like Terms leaves:

5x + 10 = 180

Subtract 10 from each side:

5x = 170

Divide 5 on each side:

x = 34

Plug x into the large angle

3(34) + 10

Solve:

102 + 10 = 112

The large angle is 112°

Hope this helps!