The probability of an event is 1. What do you know about the event?
The probability of another event is 0.
What do you know about this event?

Answer:

I think it is 20

step by step explanation

Multiples of 10:-

18 is closest to 20

Hence our answer is 20

Answer:

No, the given is not a function.

Step-by-step explanation:

I am confused if the last half of the numbers belong to a y value or not, but the answer is the same regardless.

If all numbers provided are "x", then no; the given does not represent a function. This is because the "x" value has duplicates, which indicates a non function.

Even if the last 5 numbers belong to f(x), or "y", the given is still not a function. the duplicated number is "9", and the 9's would be an x value regardless of the form of the given information.

Answer:

726.34

Step-by-step explanation:

A=400×(1+0.22)^(3)

The centreline bar-x, the upper control limit (UCL), and the lower control limit (LCL) needed to construct a control chart for the process mean are bar-x = 53.4, UCL= 53.8120, and LCL= 52.8880.

As per data that temperatures are taken from 10 different locations on the floor at the same time for 7 days.

The means of the temperatures are recorded in the table. And the mean of the ranges as 1.5°F.

Then, we have to find the centreline bar-x, the upper control limit (UCL), and the lower control limit (LCL) needed to construct a control chart for the process mean.

The data is given below: Locations Temperature means.

|1|53.4|2|53.3|3|53.3|4|53.2|5|53.4|6|53.5|7|53.4|8|53.5|9|53.6|10|53.3|

Mean bar-x = (Sum of means of all 10 locations)/10

            = (53.4+53.3+53.3+53.2+53.4+53.5+53.4+53.5+53.6+53.3)/10

            = 53.4

LCL = bar-x - 3(Range Mean/1.128)

       = 53.4 - 3(1.5/1.128)

       = 52.888

UCL = bar-x + 3(Range Mean/1.128)

       = 53.4 + 3(1.5/1.128)

       = 53.812

Therefore, the centreline bar-x, the upper control limit (UCL), and the lower control limit (LCL) needed to construct a control chart for the process mean are bar-x =53.4, UCL=53.8120, and LCL=52.8880.

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The value of the equation x² - x + 3 is 37/9.

We have,

We can start by multiplying both sides of the equation by x:

2x - 3/x = x + 1

2x - 3 = x^2 + x

Rearranging and simplifying, we get:

x^2 - x + 3 = (2x - 3) + x^2

x^2 - x + 3 = x^2 + 2x - 3

-x + 3 = 2x - 3

5 = 3x

x = 5/3

Now we can substitute x into the equation x^2 - x + 3:

x^2 - x + 3 = (5/3)^2 - 5/3 + 3

x^2 - x + 3 = 25/9 - 15/9 + 27/9

x^2 - x + 3 = 37/9

Therefore,

The value of x² - x + 3 is 37/9.

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Answer:

a = - 3, b = - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 2 , then

y = - 2x + c ← is the partial equation

To find c substitute (3, - 4 ) into the partial equation

- 4 = - 6 + c ⇒ c = - 4 + 6 = 2

y = - 2x + 2 ← equation of line

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

Substitute (a, 8 ) into the equation and solve for a

8 = - 2a + 2 ( subtract 2 from both sides )

6 = - 2a ( divide both sides by - 2 )

- 3 = a

Substitute (5, b ) into the equation and solve for b

b = - 2(5) + 2 = - 10 + 2 = - 8

26ft+17ft+25ft

=68ft

The perimeter is 68 ft

Answer:sorry I don’t know

Step-by-step explanation:

69.56 + 0.32x₁ - 0.18x₂ is the equation that fits the given data for the dependent variable y and the two independent variables x₁ and x₂.

The given data for a dependent variable y and two independent variables, x₁ and x₂, are as follows:

x₁: 22, 30, 12, 45, 11, 25, 18, 50, 17, 41, 6, 50, 19, 75, 36, 12, 59, 13, 76, 17

y: 50, 90, 50, 80, 60, 80, 50, 70, 60, 70, 50, 70, 90, 80, 70, 60, 80, 50, 70, 60

The estimated regression equation for the given data is given by:

y = 69.56 + 0.32x₁ - 0.18x₂

Here:

y represents the dependent variable.

x₁ and x₂ are the two independent variables.

Therefore, the equation that fits the given data for the dependent variable y and the two independent variables x₁ and x₂ is y = 69.56 + 0.32x₁ - 0.18x₂.

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Answer:

m=\(\frac{23}{3}\) simplest form if you need it as a decimal its m=7.6

Step-by-step explanation:

The bushing shown in the figure weighs 0.2833 pounds per cubic inches.

The bushing shows is a hollow cylinder, the volume of a hollow cylinder is :

where Do is the outer diameter

Di is the inner diameter

h is the height of the cylinder

From the problem,

Di = 2 and 1/4 inches or 2.25 in

Do = 6 inches

h = 7 and 1/4 inches or 7.25 in

Using the formula above :

The volume is 176.16 cubic inches

Multiply this to the given weight per cubic inches.

The weight is 49.9 pounds

The answer is 49.9 pounds

Cross product spaces ×B ≠ B×A as shown in the required reading.

Let A={1,2} and B={3,4}.

Here, A and B are two distinct sets.

To show that the cross-product spaces ×B ≠ B×A, let us calculate each of the cross-products:

First, let's calculate A × B:

{(1,3), (1,4), (2,3), (2,4)}

Now, let's calculate B × A:

{(3,1), (3,2), (4,1), (4,2)}

As seen from the above calculations, A × B ≠ B × A, i.e. the order of A and B are crucial in the computation of cross-product spaces.

Therefore, it is concluded that ×B ≠ B×A as a counterexample is proved for the same.

Thus, we can conclude that cross product spaces ×B ≠ B×A as shown in the required reading.

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As shown in the required reading or videos, let A and B be two different sets, prove by counter example that the cross product spaces A×B=B×A.

Answer: 0 bottles of Brand X and 10 bottles of Brand Y

(please let me know if I read the question wrong and I will do my best to fix it)

Step-by-step explanation:

This problem can be solved using linear programming. Let x be the number of Brand X bottles and y be the number of Brand Y bottles. The objective is to minimize the cost, given by:

Cost = 25x + 15y

Subject to the following constraints, which represent the minimum nutrient requirements:

3x + 9y ≥ 30 (Nutrient A)

3x + 2y ≥ 16 (Nutrient B)

7x + 2y ≥ 24 (Nutrient C)

x ≥ 0, y ≥ 0 (Non-negativity constraint)

We can solve this system of inequalities graphically by finding the feasible region and the corner points.

Nutrient A constraint (3x + 9y ≥ 30):

Divide the inequality by 3:

x + 3y ≥ 10

Nutrient B constraint (3x + 2y ≥ 16):

Divide the inequality by 2:

1.5x + y ≥ 8

y ≥ 8 - 1.5x

Nutrient C constraint (7x + 2y ≥ 24):

Divide the inequality by 2:

3.5x + y ≥ 12

y ≥ 12 - 3.5x

Now we will graph the inequalities on the xy-plane:

y ≥ 10 - x/3

y ≥ 8 - 1.5x

y ≥ 12 - 3.5x

The feasible region is the area where all three inequalities are satisfied. It's a triangular region with corner points A(0,10), B(4,4), and C(8/3, 2).

Now we need to find the cost at each corner point:

Cost A (0, 10) = 25(0) + 15(10) = $150

Cost B (4, 4) = 25(4) + 15(4) = $160

Cost C (8/3, 2) = 25(8/3) + 15(2) ≈ $153.33

The minimum cost is $150, which occurs when 0 bottles of Brand X and 10 bottles of Brand Y are used. So, the public aquarium should add 0 bottles of Brand X and 10 bottles of Brand Y to satisfy the needs of the reef tank at the minimum possible cost.

The equation that can be used to model the number of subscribers, y in the city t years after 2000 is y = 200000 x 1.6^t.

An exponential growth model is a mathematical model that describes a process of growth that is proportional to the current size or value of the process. It is a type of exponential function where the rate of change of a quantity is directly proportional to the current value of that quantity.

Assuming that the growth rate of 60% per year is compounded annually, we can use the following exponential growth model to represent the number of subscribers y in the city t years after 2000

y = 200000 x (1 + 0.6)^t

Simplifying this equation, we get:

y = 200000 x 1.6^t

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The given question is incomplete, the complete question is:

In the year 2000, there were 200000cell phone subscribers in a city in newyork. The number of subscribers increased by 60 percentage per year after 2000. which equation can be used to model the number of subscribers, y in the city t years after 2000?

Answer:

11.3

Step-by-step explanation:

6+(5*2)-10/6-4+1

6+10-10/6-4+1

6+10-1.6-4+1

16-1.6-4+1

14.3-4+1

10.3+1

11.3

Answer:

x = 698.771

step-by-step explanation:

\(\sf \rightarrow \log _{2x}\left(5^{\dfrac{3}{2}}\right)=\dfrac{1}{3}\)

apply ln rules

\(\sf \rightarrow \dfrac{\ln \left(5^{\dfrac{3}{2}}\right)}{\ln \left(2x\right)}=\dfrac{1}{3}\)

cross multiply

\(\sf \rightarrow \ln \left(5^{\dfrac{3}{2}}\right)\cdot \:3=\ln \left(2x\right)\cdot \:1\)

simplify using calculator

\(\sf \rightarrow 7.24247 = ln(2x)\)

shift sides

\(\sf \rightarrow e^{7.24247 }= 2x\)

divide both sides by 2

\(\sf \rightarrow 698.771= x\)

Answer:

\(x=698.771\)

Step-by-step explanation:

\(log_{2x} (5\frac{3}{2})=\frac{1}{3}\)

\((5\frac{3}{2})*3=In(2x)*1\)

\(7.24247=In(2x)\)

\(e^{7.24247}=2x\)

÷ \(2\)           ÷ \(2\)

\(698.771=x\)

The amount that Omar will pay when he bought 3.5k of onions are 8.90 per kilo is $31.15.

From the information given, Omah wants to know the total amount that he will pay for the onions. It's important to know the cost for each kilogram of onion and then multiply it but the number of kilograms that are bought.

In this case, Omar bought 3.5k of onions are 8.90 per kilo.

The amount that Omar will pay for the onions will be:

= Number of kilograms × Cost per kg

= 3.5 × 8.90

= $31.15

In conclusion, the amount is $31.15.

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The given parametric curve is:\(t ↦ (t - t³, t⁴ + t²)\)The derivative of t with respect to t will give us the slope of the tangent line to the given curve.

The derivative of the first coordinate of the curve is given by:\($$\frac{d}{dt}(t - t^3) = 1 - 3t^2$$The derivative of the second coordinate of the curve is given by:$$\frac{d}{dt}(t^4 + t^2) = 4t^3 + 2t$$Thus, the slope of the tangent line to the parametric curve at t = -1 is:$$m = \frac{4(-1)^3 + 2(-1)}{1 - 3(-1)^2}$$$$m = -\frac{6}{2} = -3$$\)

Therefore, the slope of the tangent line to the parametric curve\(t ↦ (t - t³, t⁴ + t²), -10 is -3.\)

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In the multiplicative group G = {a, a^2, a^3, a^4, a^5, a^6 = e}, we need to determine the order of the element a^2. Additionally, in the set Q of rational numbers with the operation *, we need to evaluate the expression 3 * 4.

a. Order of the element a^2 in the multiplicative group G:

The order of an element in a group is the smallest positive integer n such that the element raised to the power of n equals the identity element (e). In this case, we have G = {a, a^2, a^3, a^4, a^5, a^6 = e}. We need to find the smallest n such that (a^2)^n = e.

Since (a^2)^1 = a^2 and (a^2)^2 = a^4, we can see that (a^2)^2 = e, which means the order of a^2 is 2.

Therefore, the answer is (a) 2.

b. Evaluation of 3 * 4 in the set Q:

The operation * is defined as a * b = a + b - ab. To evaluate 3 * 4, we substitute a = 3 and b = 4 into the expression.

3 * 4 = 3 + 4 - (3)(4)

     = 7 - 12

     = -5

Therefore, the answer is (b) -5.

To summarize:

a. The order of the element a^2 in the multiplicative group G is 2.

b. The evaluation of 3 * 4 in the set Q results in -5.

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To argue why the liberal arts are so important in education and leisure, one must discuss its Greek origin and how it is received today.

The term "liberal arts" comes from the Latin word "liberalis," which means free. It was used in the Middle Ages to refer to topics that should be studied by free people. Liberal arts refers to courses of study that provide a general education rather than specialized training. It encompasses a wide range of topics, including literature, philosophy, history, language, art, and science.The liberal arts curriculum is based on the idea that a broad education is necessary for individuals to become productive members of society. In ancient Greece, education was focused on developing the mind, body, and spirit.  

The study of the liberal arts is necessary to create well-rounded individuals who can contribute to society in meaningful ways. While the importance of the liberal arts has been debated, it is clear that they are more important now than ever before. The study of the liberal arts is necessary to develop the skills that are required in a rapidly advancing technological world.

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Answer:

11. D

12. $7,000

Step-by-step explanation:

For the first one, $.10 is added for every mile over 50. So if someone drives 51 miles, $.10 will be added. If they drive 52 miles, $.20 will be added. In the last of the options, the initial $100 is added to the $.10 multiplied by x - 50. x represents the number of miles that he drove. x - 50 is the number of 0.10 dollars that are added to the $100.

For the second question, her sales were over $3,500, so we're looking at the second slot in the table.

The equation E = $2,500 + 0.1s + 0.2(s - 3500) tells us that her total earnings are $2,500 plus 10% of her sales plus 20% of her sales minus 20% of 3500.

To solve for s:

E = $2,500 + 0.1s + 0.2(s - 3500)

Distribute 0.2 over the terms in parentheses.

E = 2,500 + 0.1s + 0.2s - 700

Then, combine like terms.

E = 1800 + 0.3s

We know her earnings were $3,900 so we can substitute that into the equation.

3900 = 1800 + 0.3s

Subtract 1800 from both sides.

2100 = 0.3s

Divide both sides by 0.3

7000 = s

So s, the value of her total monthly sales, is $7,000

Answer: length is 33ft

Step-by-step explanation:

Perimeter = length x2 + width x2 (add all sides of a rectangle)

width = 15ft

15 x 2 = 30 ft

86ft - 30 ft = 66 ft

66/2 = length of 1 side = 33 ft

x=7

Step-by-step explanation:

median is the middle no.=6 and x

it will be 6+x=13

take 6 to the other side=7, hence x=7

Answer:

Step-by-step explanation:

=> 35 + 2x = 60

=> 2x = 60-35

=> 2x = 25

=> x = 25/2

=> x = 12.5

The calculated probability that a random point on AK will be on BF is 0.4

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

The number line

Where we have

AK = 20 units

BF = 8 units

The probability that a random point on AK will be on BF is calculated as

P = BF/AK

When the given values are substituted in the above equation, we have the following equation

P = 8/20

Evaluate

P = 0.4

Hence, the probability that a random point on AK will be on BF is 0.4

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The weight difference between 5.56 lb and the mean is 3.568 lb, or 3.18 standard deviations. It is significantly higher and considered an outlier.

The weight difference between 5.56 lb and the mean weight of 1.992 lb is 3.568 lb. This indicates that 5.56 lb is significantly higher than the average weight of plastic discarded by households. To further understand the magnitude of this difference, we calculate the number of standard deviations it represents. Dividing the weight difference by the standard deviation of 1.122 lb, we find that it corresponds to approximately 3.18 standard deviations.

A z-score is a measure of how many standard deviations a data point is away from the mean. By subtracting the mean weight from 5.56 lb and dividing by the standard deviation, we obtain a z-score of 3.17. This indicates that the weight of 5.56 lb is significantly higher than the mean, as it falls well beyond the acceptable range of -2 to 2 for z-scores.

Given the significant weight difference and the high z-score, we can conclude that the weight of 5.56 lb is an outlier in the dataset. It represents a substantially larger amount of plastic waste compared to the average. Thus, it can be considered a significant observation that deviates significantly from the mean and standard deviation of the weights.



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When finding local maxima and minima from the graph of a derivative, we need to identify the points where the derivative changes sign. These points represent the locations of local maxima and minima on the original function.

When finding local maxima and minima from the graph of a derivative, we need to understand the relationship between the original function and its derivative. The derivative of a function represents the rate of change of the function at any given point. Local maxima and minima occur where the derivative changes sign from positive to negative or from negative to positive. At these points, the slope of the original function changes from increasing to decreasing or from decreasing to increasing.

By following these steps, we can identify the local maxima and minima from the graph of a derivative.

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Identify the critical points, Determine the intervals, Analyze the sign changes and Check the endpoints

To find the local maximum and minimum points from the graph of a derivative, you can follow these steps:

Identify the critical points: These are the points where the derivative is either zero or undefined. Find the values of x where f'(x) = 0 or f'(x) is undefined.

Determine the intervals: Divide the x-axis into intervals based on the critical points and any other points of interest. Each interval represents a section of the graph where the derivative is either positive or negative.

Analyze the sign changes: Within each interval, observe the sign of the derivative. If the derivative changes sign from positive to negative, there is a local maximum at that point. If the derivative changes sign from negative to positive, there is a local minimum at that point.

Check the endpoints: Also, check the derivative's sign at the endpoints of the graph. If the derivative is positive at the leftmost endpoint and negative at the rightmost endpoint, there is a local maximum at the left endpoint. Conversely, if the derivative is negative at the leftmost endpoint and positive at the rightmost endpoint, there is a local minimum at the left endpoint.

By following these steps and analyzing the sign changes of the derivative within intervals, as well as checking the endpoints, you can identify the local maximum and minimum points from the graph of the derivative.

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The volume of the solid is 9 cubic units, which is determined by the base in the first quadrant bounded by the y-axis, the graph of y = x-1, the horizontal line y = 3, and the vertical line x = 1. As the cross sections perpendicular to the x-axis are squares, the volume can be calculated.

The volume of the solid can be calculated by finding the area of the base and then multiplying it by the height of the solid. The base of the solid is in the first quadrant and is bounded by the y-axis, the graph of y = x-1, the horizontal line y = 3, and the vertical line x = 1. This region forms a trapezoid, with an area of 6. As the cross sections perpendicular to the x-axis are squares, the height of the solid is 3 units. Thus, the volume of the solid is 6 multiplied by 3, which gives us a total volume of 9 cubic units. To calculate the volume, it is important to identify the base of the solid and the shape of the cross sections perpendicular to the x-axis. This will allow us to calculate the area of the base, and multiply it by the height of the solid to determine the total volume.

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Answer:

its 3 and 5

Step-by-step explanation:

i know this because i took the quiz and its simple