Is the negative square root of 9 rational or irrational ​

The probability of red is 0.1724, given the following table.

The table provided is given in the form of a contingency table. It is used to display the relationship between two categorical variables or nominal data through frequency distribution. It is also referred to as a two-way frequency table.

The table has "Yes" and "No" categories in the rows and "Red" and "Blue" categories in the columns.

The probability of Red can be calculated using the formula;

P(Red) = (Frequency of Red) / (Total Frequency)

Using the values provided in the table

,P(Red) = 15/87P(Red) = 0.1724

Hence, the probability of red is 0.1724.

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Answer:

its A

Step-by-step explanation:

In analyzing the performance of implementing the given methods over Singly Linked List and Doubly Linked List data structures, we consider the Big-O notation, which provides insight into the time complexity of these operations as the size of the list increases.

Add to Start of List:

Singly Linked List: O(1)

Doubly Linked List: O(1)

Both Singly Linked List and Doubly Linked List offer constant time complexity, O(1), for adding an element to the start of the list.

This is because the operation only involves updating the head pointer (for the Singly Linked List) or the head and previous pointers (for the Doubly Linked List). It does not require traversing the entire list, regardless of its size.

Add to End of List:

Singly Linked List: O(n)

Doubly Linked List: O(1)

Adding an element to the end of a Singly Linked List has a time complexity of O(n), where n is the number of elements in the list. This is because we need to traverse the entire list to reach the end before adding the new element.

In contrast, a Doubly Linked List offers a constant time complexity of O(1) for adding an element to the end.

This is possible because the list maintains a reference to both the tail and the previous node, allowing efficient insertion.

Add at Given Index:

Singly Linked List: O(n)

Doubly Linked List: O(n)

Adding an element at a given index in both Singly Linked List and Doubly Linked List has a time complexity of O(n), where n is the number of elements in the list.

This is because, in both cases, we need to traverse the list to the desired index, which takes linear time.

Additionally, for a Doubly Linked List, we need to update the previous and next pointers of the surrounding nodes to accommodate the new element.

In summary, Singly Linked List has a constant time complexity of O(1) for adding to the start and a linear time complexity of O(n) for adding to the end or at a given index.

On the other hand, Doubly Linked List offers constant time complexity of O(1) for adding to both the start and the end, but still requires linear time complexity of O(n) for adding at a given index due to the need for traversal.

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Answer: 65.22%

Step-by-step explanation: 15 is more than half of 23 which means it can’t be the other options because the others aren’t more than half.

65.22 % of teachers ordered the salad bar

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

According to the question

A school cafeteria offers three lunch options on Mondays:

Spaghetti, sub sandwiches, or salad bar.

Percentage of teachers ordered the salad bar

Total number of teachers = 23

Total number of teachers ordered the salad bar = 15

= \(\frac{15}{23}\)

= 0.6522

= 65.22%

Thus, 65.22 % of teachers ordered the salad bar

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Answer:

noah would make 30+(7x16)=30+112=142$

Step-by-step explanation:

also, what the flip is "tt"

Answer:

$142

Step-by-step explanation:

7 x 16 =112

112 + 30 =142

Answer: 48n + 120

Step-by-step explanation:

12(4n+10)

12(4n) + 12(10)

48n + 120

Answer: 450

Step-by-step explanation:

almonds : raisins

4:3

600:?

600/4 = 150

3x150 = 450

there are 450 raisins in the bag.

Using the given ratio of almonds to raisins (4 to 3) and the number of almonds (600), a simple calculation using cross-multiplication leads to the conclusion that there are 450 raisins in the bag of trail mix.

Let's solve this problem using the concept of ratios. The question provides that the ratio of almonds to raisins in a bag of trail mix is 4 to 3. And we are also given that there are 600 almonds in the bag. Our task is to find out the number of raisins.

To do this, we can use cross-multiplication. It is a simple mathematical methodology to find an unknown value in a ratio. We will set up our equation as follows: 4/3 = 600/X.

Now, cross-multiply to find the value of X (raisins). The result is: X = (600*3) / 4 = 450.

So, there are 450 raisins in the bag.

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The  values of x will f(x) > 0 for x < 0, and f(x) < 0 for -6 < x < 0 and x > -6.

To determine the values of x for which f(x) > 0, we need to find the intervals where the function is positive. Let's analyze the function f(x) = x*-x³-6x².

First, let's factor out an x from the expression to simplify it: f(x) = x(-x² - 6x).

Now, we can observe that if x = 0, the entire expression becomes 0, so f(x) = 0.

Next, we analyze the signs of the factors:

1. For x < 0, both x and (-x² - 6x) are negative, resulting in a positive product. Hence, f(x) > 0 in this range.

2. For -6 < x < 0, x is negative, but (-x² - 6x) is positive, resulting in a negative product. Therefore, f(x) < 0 in this range.

3. For x > -6, both x and (-x² - 6x) are positive, resulting in a negative product. Thus, f(x) < 0 in this range.  

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Answer:

10

Step-by-step explanation:

75c-300=25c+200

-25c         -25c

50c-300=200

+300         +300

50c=500

c=10

Final Answer: \(c = 10\)

Steps/Reasons/Explanation:

Question: Solve for the given variable: \(75c - 300 = 25c + 200\).

Step 1: Add \(300\) to both sides.

\(75c = 25c + 200 + 300\)

Step 2: Simplify \(25c + 200 + 300\) to \(25c + 500\).

\(75c = 25c + 500\)

Step 3: Subtract \(25c\) from both sides.

\(75c - 25c = 500\)

Step 4: Simplify \(75c - 25c\) to \(50c\).

\(50c = 500\)

Step 5: Divide both sides by \(50\).

\(c = \frac{500}{50}\)

Step 6: Simplify \(\frac{500}{50}\) to \(10\).

\(c = 10\)

~I hope I helped you! :)~

Answer:  We can use the concept of rates to solve this problem.

A rate is a ratio of the amount of work done to the amount of time it takes to do the work. We can find the rate of work for the 4 painters by dividing the number of rooms they painted by the number of hours it took them:

Rate = Rooms painted / Hours

Rate = 12 rooms / 8 hours = 1.5 rooms per hour

Now we can use this rate to find out how long it will take 7 painters to paint 21 rooms. To do this, we'll use the formula:

Time = Rooms / Rate

Time = 21 rooms / 1.5 rooms per hour = 14 hours

So it would take 7 painters working at the same efficiency as the 4 painters 14 hours to paint 21 rooms.

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

divide the 2 numbers

Answer:

Step-by-step explanation:

2 • (n2 + 2n + 2)

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

             N    

The z-score for X = 48, given a population with a standard deviation of 8 and a mean of 40, is 1.

A bell-shaped curve, also known as a normal distribution, is a symmetric curve with a single peak resembling a bell. It is commonly used to represent data that follows a normal distribution pattern.

In the provided graph, the location of the mean (μ) is marked on the bell-shaped curve. Additionally, the numbers corresponding to each standard deviation, which are -1, -2, +1, and +2, are also indicated. These values represent the distance from the mean in terms of standard deviations.

To calculate the z-score for X = 48, we can use the z-score formula: $z = \frac{X - \mu}{\sigma}$, where X is the raw score, μ is the population mean, and σ is the population standard deviation.

Applying the formula to the given values, we have:

$z = \frac{48 - 40}{8} = 1$

Therefore, the z-score for X = 48 is 1.

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Answer:

The Length is 85 m

Step-by-step explanation:

? = l

68 = w

306 = P

The perimeter formula is P = 2(l+w) or P = (l+w) + (l+w)

306 = 2(l+68)

306 = 2l + 136    

306 - 136 = 2l + 136 - 136

170 = 2l

\(\frac{170}{2}\) = \(\frac{2l}{2}\)

85 = l

Length is 85 m

Answer:

50%

Step-by-step explanation:

He sold it for Rs 15 each. What is his profit percent? CP of 1 pen = 120/12= 10 SP of 1 pen = 15 Profit = 5 P % = (p/CP)*100=(5/10) x 100 = 50%.

The statement 'if you are balancing an object on its center of mass, there must be equal amounts of mass on both sides of the center of mass" is false.

A place at which the entire mass of a body or all the masses of a system of particles appears to be concentrated is defined as the center of mass of a body or system of particles.

We have statement:

If you are balancing an object on its center of mass, there must be equal amounts of mass on both sides of the center of mass.

As we know, center of a mass is an object balance point it doesn't need to have equal amounts of mass on both sides of the center of mass.

Thus, the statement 'if you are balancing an object on its center of mass, there must be equal amounts of mass on both sides of the center of mass" is false.

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We can easily figure out how fast the boat is moving per hour.

35 km / 7 hours = 5 km/h

We now know that we are moving at a rate of 5 kilometers every 1 hour. We can now take our 5 km/h and multiply it by 3 hours to get our answer

5 km/h x 3 = 15 kilometers

Answer:

It should be last choice

Answer:

D

Step-by-step explanation:

add 2 to the x value then add 2 to the y value

Answer:

Step-by-step explanation:

7x - (-2x) = 7x + 2x

              = 9x

Answer:

Step-by-step explanation:

-9(c+7) = -13c+7

<=> -9c - 63 = -13c+7

<=> -9c + 13c = 7+63

<=> 4c = 70

<=> c = 70/4 = 35/2 = 17,5

-9(c+7) = -13c+7

-9(17,5+7) = -13×17,5+7

-220,5 = -220,5

The profit per bag is approximately $2.50  and the total profit is approximately is $36 , the correct option is (c) .

In the question ,

a graph of relation of price and quantity is given .

Under the perfect competition , the profit maximization condition is where price is equal to the marginal cost

that means P = MC .

price is given as = $8 ,

Form the graph ATC = $5.5

per unit profit can be calculated using the formula ,

Per unit profit = Price - ATC

per unit profit = 8 - 5.5

= $2.5

From the graph , the quantity is Q = 14.4 (approximately)

Total profit is calculated using the formula

Total Profit = (profit per unit) × (quantity)

Total Profit = 2.5 × 14.4

= $36

Therefore , The profit per bag is approximately $2.50  and the total profit is approximately is $36 .

The given question is incomplete , the complete question is

This figure is the market for bags of coffee roaster . At a price of $8 per bag . Profit per bag is approximately is      and the total profit is       .

(a) $5.50 , $78

(b) $5.00 , $60

(c) $2.50 , $36

(d) $8.00 , $114

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Using these traces, we can sketch the surface as an ellipsoid in three dimensions centered at the origin, with semi-major axis of length 6 along the z-axis, semi-major axis of length 3 along the y-axis, and semi-major axis of length 2 along the x-axis.

To sketch the surface 9x^2 + 4y^2 + z^2 = 36 using traces, we can fix values of x, y, and z and plot the resulting curves. When we fix x = 0, we get 4y^2 + z^2 = 36, which is an ellipse in the yz-plane centered at the origin with semi-major axis of length 6 along the z-axis and semi-minor axis of length 3 along the y-axis.

When we fix y = 0, we get 9x^2 + z^2 = 36, which is also an ellipse in the xz-plane centered at the origin with semi-major axis of length 6 along the z-axis and semi-minor axis of length 2 along the x-axis. When we fix z = 0, we get 9x^2 + 4y^2 = 36, which is a horizontal ellipse in the xy-plane centered at the origin with semi-major axis of length 2 along the x-axis and semi-minor axis of length 3 along the y-axis.

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Answer: 65%

Step-by-step explanation:

Answer:

5x + 6

Step-by-step explanation:

take x as the number of balls

5x = 5 times x

5x = 5 times the numbers of balls

+ 6 = 6 more balls

therefore, 5x + 6 =

5 times the number of balls, plus 6 balls

Answer:

5X + 6

Step-by-step explanation:

If number of balls is Unknown let "X" represent

then Karan has 5xX + 6. Karan "K" represent

5X + 6

Answer:

\(\mathrm{a=10,\ r=0.5}\)

Step-by-step explanation:

\(\mathrm{The\ nth\ term\ of\ any\ geometric\ sequence\ is\ given\ by:}\\\mathrm{t_n=ar^{n-1}}\\\mathrm{Given,}\\\mathrm{5th\ term(t_5)=6.25}\\\mathrm{or,\ ar^{5-1}=6.25}\\\mathrm{or,\ ar^4=6.25......(1)}\\\\\mathrm{And,\ 7th\ term(t_7)=1.5625}\\\mathrm{or,\ ar^{7-1}=1.5625}\\\mathrm{or,\ ar^6=1.5625.........(2)}\)

\(\mathrm{Dividing\ equation(2)\ by\ (1),}\\\mathrm{\frac{ar^6}{ar^4}=\frac{1.5625}{6.25}}\\\\\mathrm{or,\ r^2=\frac{1}{4}}\\\\\mathrm{or,\ r=\frac{1}{2}}\)

\(\mathrm{From\ equation(1)\ we\ have}\\\mathrm{ar^4=6.25}\\\mathrm{or,\ a(0.5)^4=6.25}\\\mathrm{or,\ a=100}\)

Alternative method:

\(\mathrm{Here,\ the\ sixth\ term\ of\ the\ sequence\ is\ geometric\ mean\ of\ the\ 5th\ and\ 7th}\\\mathrm{term.}\\\mathrm{So,\ we\ may\ say:}\\\mathrm{t_6=\sqrt{t_5\times t_7}}=\sqrt{6.25\times 1.5625}=3.125\\\mathrm{Now,\ common\ ratio(r)=\frac{t_6}{t_5}=\frac{3.125}{6.25}=\frac{1}{2}=0.5}\\\mathrm{We\ know,\ t_6=3.125}\\\mathrm{or,\ ar^5=3.125}\\\mathrm{or,\ a(0.5)^5=3.125}\\\mathrm{or,\ a=100}\)

The first term and common ratio of the geometric progression (GP) can be determined based on given information. First term (a₁) is 100, and the common ratio (r) is ±0.5, leading to correct answer c. a₁ = 100, r = ±0.5.

By analyzing the values of the 5th and 7th terms, we can find the relationship between them and solve for the unknowns. The correct answer is c. a₁ = 100, r = ±0.5. In a geometric progression, each term is obtained by multiplying the previous term by a constant ratio. Let's denote the first term as a₁ and the common ratio as r. Based on the given information, the 5th term is 6.25 and the 7th term is 1.5625.

Using the formula for the nth term of a geometric progression, we can express these terms in terms of a₁ and r:

a₅ = a₁ * r⁴ = 6.25

a₇ = a₁ * r⁶ = 1.5625

To solve for a₁ and r, we can divide the equations:

(a₇ / a₅) = (a₁ * r⁶) / (a₁ * r⁴)

1.5625 / 6.25 = r²

0.25 = r²

Taking the square root of both sides, we have:

r = ±0.5 Substituting the value of r back into one of the equations, we can solve for a₁:

6.25 = a₁ * (0.5)⁴

6.25 = a₁ * 0.0625

a₁ = 6.25 / 0.0625

a₁ = 100

Therefore, the first term (a₁) is 100, and the common ratio (r) is ±0.5, leading to the correct answer c. a₁ = 100, r = ±0.5.

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Tommy can create 20 different shirts by choosing from 5 different shirt colors and 4 different logos.

You must multiply the number of options for the shirt color by the number of options for the logo to determine the total number of unique shirts that Tommy can design.

Tommy offers 4 different logos and 5 different shirt colors.

Consequently, Tommy may make the following amount of distinct shirts in total:

20 distinct shirts result from multiplying 5 shirt colors by 4 logos.

Tommy can therefore choose from 4 different logos and 5 different shirt colors to produce 20 different shirts.

Hence Tommy can create 20 different shirts by choosing from 5 different shirt colors and 4 different logos.

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a. The efficiency of Expedition Everest is approximately 87.8%.

b. The utilization of Expedition Everest is approximately 94.7%.

c.  The demand is greater than the effective capacity, the operation is considered overcapacity. This means that the ride cannot accommodate all the riders who wish to ride, resulting in long waiting times for guests.

To calculate the efficiency and utilization of Expedition Everest, we need to compare the actual number of riders with the design capacity and effective capacity.

Given:

Demand = 3,000 riders/hour

Average riders = 1,800 riders/hour

Design capacity = 2,050 riders/hour

Effective capacity = 1,900 riders/hour

a. Efficiency:

Efficiency is calculated as the average riders divided by the design capacity, multiplied by 100%.

Efficiency = (Average riders / Design capacity) * 100%

= (1,800 / 2,050) * 100%

≈ 87.8%

Therefore, the efficiency of Expedition Everest is approximately 87.8%.

b. Utilization:

Utilization is calculated as the average riders divided by the effective capacity, multiplied by 100%.

Utilization = (Average riders / Effective capacity) * 100%

= (1,800 / 1,900) * 100%

≈ 94.7%

Therefore, the utilization of Expedition Everest is approximately 94.7%.

c. Capacity Analysis:

To determine if the operation is overcapacity or undercapacity, we compare the demand with the effective capacity.

Demand > Effective capacity

3,000 > 1,900

Since the demand is greater than the effective capacity, the operation is considered overcapacity. This means that the ride cannot accommodate all the riders who wish to ride, resulting in long waiting times for guests.

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Answer:

Y = 3

Step-by-step explanation: