Difference between trigonal planar and trigonal pyramidal.

Answer:

A.W, Z, U, Y

Step-by-step explanation:

I got it right on the edge quiz

Comment Cheese if your sMiLiN

Answer:

A.W, Z, U, Y

Step-by-step explanation:

i got the answer  right on the quiz :)

The measure that will be captured by approximately 9000 of the confidence intervals is given as follows:

(E) The Population Median.

The interpretation of a x% confidence interval is that it is x% likely that the population parameter(mean/proportion/standard deviation/median) is between a and b, which are the bounds of the confidence interval.

The bounds of the confidence interval are obtained by the estimate plus/minus the margin of error.

The measure for which the confidence intervals are calculated in this problem is given by:

Median.

The sample median for each sample is used for the estimes, and then these estimates are inferred for the population median, which is the population parameter, hence option e is correct.

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(a) If sn ≥ a for all but finitely many n, then lim sn ≥ a. (b) If sn ≤ b for all but finitely many n, then limit sn ≤ b. (c) If all but finitely many sn belong to [a, b], then lim sn belongs to [a, b].

Define limit ?

In mathematics, the limit of a sequence or function represents the value that the sequence or function approaches as its input or index approaches a certain value or goes to infinity.

(a) To prove that if sn ≥ a for all but finitely many n, then lim sn ≥ a, we can use the definition of convergence.

Assume that sn ≥ a for all but finitely many n. By the definition of convergence, lim sn = L exists if, for any ε > 0, there exists N such that |sn - L| < ε for all n ≥ N.

Let's consider the case where L < a. Since sn ≥ a for all but finitely many n, there exists a large enough N such that for n ≥ N, sn ≥ a. However, this contradicts the assumption that lim sn = L, as there are values of sn greater than or equal to a for n ≥ N. Therefore, we can conclude that L cannot be less than a.

Hence, if sn ≥ a for all but finitely many n, the limit lim sn must be greater than or equal to a, i.e., lim sn ≥ a.

(b) The proof for the second statement follows a similar approach.

Assume that sn ≤ b for all but finitely many n. By the definition of convergence, lim sn = L exists if, for any ε > 0, there exists N such that |sn - L| < ε for all n ≥ N.

Let's assume that L > b. Since sn ≤ b for all but finitely many n, there exists a large enough N such that for n ≥ N, sn ≤ b. However, this contradicts the assumption that lim sn = L, as there are values of sn less than or equal to b for n ≥ N. Therefore, L cannot be greater than b.

Hence, if sn ≤ b for all but finitely many n, the limit lim sn must be less than or equal to b, i.e., lim sn ≤ b.

(c) From parts (a) and (b), we have shown that if sn ≥ a for all but finitely many n, then lim sn ≥ a, and if sn ≤ b for all but finitely many n, then lim sn ≤ b.

Now, suppose that all but finitely many sn belong to the closed interval [a, b]. This implies that sn ≥ a for all but finitely many n (since they belong to [a, b]), and sn ≤ b for all but finitely many n (since they belong to [a, b]).

From parts (a) and (b), we can conclude that lim sn ≥ a and lim sn ≤ b. Therefore, the limit of sn belongs to the closed interval [a, b].

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There are 3,997,440,000 ways to assign 12 graduate students to two triple and three double hotel rooms during a conference.

To solve the problem, we can use the concept of permutations and combinations.

First, we need to choose 2 triple hotel rooms out of the available options. This can be done in C(5, 2) ways, where C(n, r) represents the number of ways to choose r items from a set of n items without replacement. So, we have:

C(5, 2) = 5! / (2! * (5-2)!) = 10

Now, we need to assign 3 graduate students to each of the chosen triple rooms.

This can be done in P(12, 3) * P(9, 3) ways,

where P(n, r) represents the number of ways to select and arrange r items from a set of n items with replacement. So, we have:

P(12, 3) * P(9, 3) = 12! / (9! * 3!) * 9! / (6! * 3!) = 369,600

Next, we need to choose 3 double hotel rooms out of the available options. This can be done in C(3, 3) ways, which is just 1.

Now, we need to assign 2 graduate students to each of the chosen double rooms. This can be done in P(6, 2) * P(4, 2) * P(2, 2) ways, which is:

P(6, 2) * P(4, 2) * P(2, 2) = 6! / (4! * 2!) * 4! / (2! * 2!) * 2! / (1! * 1!) = 1,080

Finally, we can multiply the results of all these steps to get the total number of ways to assign the graduate students to the hotel rooms:

Total number of ways = C(5, 2) * P(12, 3) * P(9, 3) * C(3, 3) * P(6, 2) * P(4, 2) * P(2, 2)

= 10 * 369,600 * 1 * 1,080

= 3,997,440,000

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Answer:

0.2266739274

Step-by-step explanation:

[√(150 + 214.9) ] / (9.85 - 0.4)²

The dimensions of the rectangle are 10 feet (length) and 8 feet (width).

To find the dimensions of the rectangle with an area of 80 square feet and a width that is 2 feet less than the length,

follow these steps:

1. Let the length of the rectangle be L feet and the width be W feet.

2. According to the given information, W = L - 2.

3. The area of a rectangle is calculated by multiplying its length and width: Area = L × W.

4. Substitute the given area and the relationship between L and W into the equation: 80 = L × (L - 2).

5. Solve the quadratic equation: 80 = L² - 2L.

6. Rearrange the equation: L² - 2L - 80 = 0.

7. Factor the equation: (L - 10)(L + 8) = 0.

8. Solve for L: L = 10 or L = -8 (since the length cannot be negative, L = 10).

9. Substitute L back into the equation for W: W = 10 - 2 = 8.

So, the dimensions of the rectangle are 10 feet (length) and 8 feet (width).

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Answer:

u+xy=18+(-10)8

=18-80

= -62

The standard form of the equation of the line described is 4x - y = 18.

To find the equation of a line parallel to y = 4x + 5, we know that parallel lines have the same slope. The given line has a slope of 4 since it is in the form y = mx + b, where m represents the slope. Therefore, our parallel line will also have a slope of 4.

Using the point-slope form of a linear equation, we can write the equation as follows:

y - y₁ = m(x - x₁)

Substituting the coordinates of the given point (2, -5) and the slope (4) into the equation, we have:

y - (-5) = 4(x - 2)

Simplifying the equation, we get:

y + 5 = 4x - 8

Rearranging the terms to put the equation in standard form, we have:

4x - y = 18

Therefore, the standard form of the equation of the line described, which passes through the point (2, -5) and is parallel to y = 4x + 5, is 4x - y = 18.

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The total amount they paid for dinner that night = $22.2

Dinner bill = $18.50

They paid 5% food tax

Food tax = (5/100) x 18.50

Food tax = $0.925

They left a 15% tip for the waiter

Tip = (15/100) x 18.50

Tip = $2.775

Total amount paid = Dinner bill + Food tax + Tip

Total amount paid = $18.50 + $0.925 + $2.775

Total amount paid = $22.2

The total amount they paid for dinner that night = $22.2

Answer:(8,6)

Step-by-step explanation:

The distance of 40 lb will be 5ft, according to the question.

What do you mean by distance?

Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.

According to the given question,

We have the given information:

The fulcrum be located from the 40 lb.

The weight of bar is 9ft long.

Now, we will calculate the distance,

40x = 50(x-1)

40x = 50x - 50

40x - 50x = -50

-10x = -50

x = 5

Therefore, the required answer is 5ft.

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The simplest solution for this problem is to traverse the entire array and store the minimum and maximum values.

C++ implementation for the following problem

#include <iostream>

int main(){  

int arr[] = {1,2,3,4,5,6,7,8,9...........................99,100}; //initialize array

int min = arr[0]; //start value

int max= arr[0];  //start value

for(int i:arr) {

 if(i<min) min=i; // if current number lower update min

 if(i>max) max=i; // if current number bigger update max

}

std::cout<<"Min Value: "<<min<<"\nMax Value: "<<max<<"\n";

return 0;

}

The simplest solution for this problem is to traverse the entire array and store the minimum and maximum values.

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Answer:

2

Step-by-step explanation:

common ratio r=an/an-1

=-30/-15 =2

Answer:

2x = 2x

Step-by-step explanation:

2x + 6 = 3x + 6 - x

2x = 3x - x(cancel equal terms)

2x=2x

Answer: the answer is line 2

Step-by-step explanation:

Answer:9

Step-by-step explanation:

I'm assuming the equation is : \(9^{6}\)=\(x^{3}\)*\(9^{3}\)

1) \(9^{6}\)=531441

  \(9^{3}\)    =729

2) 531441=729  \(x^{3}\)

3) \(\frac{531441}{729}\)= \(x^{3}\)

4)729=\(x^{3}\)

5) \(\sqrt[3]{729}\) =\(\sqrt{x}\)^3    

6) 9=x

Solution should be used for given requirement is x = 4 gallons and y = 20 gallons.

We are having a certain amount of disinfectant solutions as given below,

This is just a system of two equations in two unknown quantities.

x = number gallons 8% solution

y = number gallons 2% solution

The required equation in the number of gallons;

x + y = 24 → (I)

The equation in concentration;

0.08x + 0.02y = 0.03(24) → (II)

If we multiply the concentration equation by 100 to get rid of the decimals.

8x + 2y = 72 → (III)

There is a number you can solve this then, If we multiply the number of gallons equation by 3, we get;

3x + 3y = 72 → (IV)

Subtract the number of gallons result from the concentration result and get;

5x = y

From (I);

x + 5x = 24

6x = 24

x = 4 and y = 20

So, solution should be used for given requirement is x = 4 gallons and y = 20.

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Therefore , the solution of the given problem of graph comes out to be the new function f(x), f(x) = 1/x-1 .

Mathematicians use graphs to variable logically depict or chart sentences or values in a visual way. Usually, a graph point shows the connection between two or more objects. A graph is a particular kind of non-linear side chain up of parts known as nodes as well as lines. The borders, also referred to as nodes, should be joined together with glue. The node numbers in this graph are 1, 2, 3, and 5.

Here,

It is written as g(x) = f. (2x)

The function g(x) demonstrates that it is the change of the f. (x).

The following is how change is applied:

x → 2x (x is substituted by the twice of it) (x is replaced by the twice of it) (X is substituted with twice of it.)

=>  f(x) (x)

=> f(2x) (2x)

=> f(2x) = 1/x-1

The function will be squashed or stretched vertically depending on the component it is multiplied by when it is positive.

Due to this, the new function g(x), which is equivalent to f(2x), will grow or shrink by a factor of 2.

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Ms. murphy has to create a relay team in 3024 ways.

What is combination?

A combination is a collection of components produced under a certain set of constraints and conditions.

Selections are another name for combinations. The choice of items from a predetermined group of items corresponds to combinations. We don't want to organize anything here. We are going to choose them. We use the symbols n C r to represent the number of distinct r-selections or combinations among a set of n items.

As given, Ms murphy has to select 4 swimmers out of 9  swimmers to create a relay team.

By using the combination formula we can find the number of ways to create a relay team.

\(C^{n}_r = \frac{n!}{(n-r)!}\)

Where,

n is the number of all objects and r is a number of selected objects.

Here, n = 9 and r = 4.

So,

\(C^{9}_4 = \frac{9!}{(9-4)!} = \frac{9!}{5!} = \frac{x}{y} = 3024\)

Therefore, she create a relay team in 3024 ways.

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The value is 24 square units is parallel to the face of the right rectangular prism.

We can see that the face of the given rectangular prism shows a width 4 and a height of 6. If we cut the figure at any point along the length 20, such that the cross-section is parallel to the face, the cross-section, which occurs at x length, will always have the same dimensions, which are 4 and 6.

So the area of the cross-section which is parallel to the face of the given rectangular prism is given by:

A = 6 × 4

A = 24

Thus, the value is 24 square units is parallel to the face of the right rectangular prism.

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A = 6 × 4

A = 24

Thus, the value is 24 square units is parallel to the face of the right rectangular prism.

Answer:

d

Step-by-step explanation:

the submarine is below water so that's considered a negative and the number in  the equation is negative 3. and if you keep multiplying a positive by a negative the number stays negative and thats the submarine getting deeper and deeper into the ocean if that makes sense.

Answer:

57

Step-by-step explanation:

75/100 *76

5700/100 =57

Based on the given clues, we can determine the person, drink, and price paid for each individual:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

From clue 1, we know that either Calvin or the person who got the Root Beer paid $4.99. Since Calvin paid more than Lee according to clue 4, Calvin cannot be the one who got the Root Beer. Therefore, Calvin paid $4.99.

From clue 2, Kelli paid $6.99.

From clue 3, the person who got the water paid $1 less than Dean. Since Dean paid the highest price, the person who got the water paid $1 less, which means Lee paid $5.99.

From clue 5, the person who got the Root Beer paid $1 less than the person who got the Iced Tea. Since Calvin got the Root Beer, Lee must have gotten the Iced Tea.

Therefore, the final assignments are:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

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Answer:

Consecutive par .. 2,4,6,8 .....

positive difference between 6 and 8

8-6 = 2; this difference will always be 2 regardless of the number if it is consecutive even.

Step-by-step explanation:

Answer: Jeffery paid $ 2937 in all.

Step-by-step explanation:

Given: The cost of antique pull = $890

Mark up percentage = 200%

New price = (cost) + (Mark up percentage) x (cost)

\(=\$( 890+\dfrac{200}{100}\times890)\\\\=\$( 890+2(890))\\\\=\$2670\)

After a tax of 10% , the amount needs to be paid = New price + 10% of New price

 \(=\$(2670+\dfrac{10}{100}\times2670)=\$(2670+267)\\\\=\$2937\)

Hence, Jeffery paid $ 2937 in all.

Answer:

Step-by-step explanation:

E

Answer:

The answer is 1,136

Answer:

20/89

Step-by-step explanation:

The question wants the student from Gryffindor. So we will take the total of the Gryffindor student only is 178

Then they want the student who has owl then is 40.

So you use 40/178

And get the simple fraction 20/89