find two numbers adding to 40 such that the sum of their square is as small as possible

Answer:

i think the answer is -33

Step-by-step explanation:

The given shopping cart data is converted into binary format are 1 1 1 0 0 0 Shopping Cart 1, 0 1 0 1 0 0 Shopping Cart 2, 0 1 0 0 1 0 Shopping Cart 3, 1 1 0 1 0 0 Shopping Cart 4, 1 0 1 0 1 0 Shopping Cart 5, 0 1 0 0 1 0 Shopping Cart 6, 1 0 0 0 1 0 Shopping Cart 7, 1 1 0 0 1 0 Shopping Cart 8, 1 1 0 0 1 0 Shopping Cart 9, 0 0 0 0 0 1 Shopping Cart 10. The number of transactions with {Yellow}, {White, Blue}, and {Red, White, Green} item sets are transaction 10, transactions 3, 6, 8, and 9 and transactions 1, 4, and 8. The support for {Red, White, Green} is 0.33. Confidence for two given association rules is 0.6.

Converting the data into binary format

Red White Green Orange Blue Yellow

1 1 1 0 0 0 Shopping Cart 1

0 1 0 1 0 0 Shopping Cart 2

0 1 0 0 1 0 Shopping Cart 3

1 1 0 1 0 0 Shopping Cart 4

1 0 1 0 1 0 Shopping Cart 5

0 1 0 0 1 0 Shopping Cart 6

1 0 0 0 1 0 Shopping Cart 7

1 1 0 0 1 0 Shopping Cart 8

1 1 0 0 1 0 Shopping Cart 9

0 0 0 0 0 1 Shopping Cart 10

There is 1 transaction with the item set {Yellow} (transaction 10).

There are 4 transactions with the item set {White, Blue} (transactions 3, 6, 8, and 9).

There are 3 transactions with the item set {Red, White, Green} (transactions 1, 4, and 8).

The support for item set {Red, White, Green} is (3/10) * 100 = 30%.

The confidence for the rule IF {Green, Red} THEN {White} is:

support({Green, Red, White}) / support({Green, Red})

= (1/10) / (3/10)

= 0.33

The confidence for the rule IF {Red, White} THEN {Green} is:

support({Red, White, Green}) / support({Red, White})

= (3/10) / (5/10)

= 0.6

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The equation that shows the relationship between the age of Danny and Terry is D = T - 6.

Let's represent Danny's age with the variable D and Terry's age with the variable T. We know that Danny is 22 years old, so we can write the equation D = 22.

We also know that Danny is 6 years younger than Terry, so we can write the equation D = T - 6. Now we can substitute the value of D from the first equation into the second equation to find the value of T.

D = T - 6

22 = T - 6

Add 6 to both sides of the equation:

22 + 6 = T

28 = T

So Terry is 28 years old.

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The formula for the confidence interval standard error would be:

CI SE = 1.96 * sqrt[(p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2)]

To calculate the standard error for the difference in sample proportions, we use the following formula:

SE = sqrt[(p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2)]

Where p1 and p2 are the sample proportions, n1 and n2 are the sample sizes.

To calculate the confidence interval standard error, we need to multiply the standard error by the appropriate critical value from the t-distribution.

Assuming a 95% confidence interval with degrees of freedom equal to (n1 - 1) + (n2 - 1), we can use a t-distribution table or calculator to find the critical value, which is typically 1.96.

So, the formula for the confidence interval standard error would be:

CI SE = 1.96 * sqrt[(p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2)]

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All pairs of an integer array whose sum is equal to a given number in Python using the algorithm based on below three steps:

Step 1: Initialize array and its values

Step 2: Initialize value of sum

Step 3: Call the function find

Programming in Python for all pairs of given number : We will get an array as input from user. We need to find all possible pairs from the given array whose sum is same as given sum. Example:

Array : [5, 2, 0, 4, 1, 8, 7]

Sum = 7

Possible pairs: [5, 2], [0,7],

Algorithm based on below three steps:

Step 1: Initialize array and its values

Step 2: Initialize value of sum

Step 3: Call the function find

Algorithm for function find

Step 1: Iterate on the elements of array with variable i, from 0 to length of array as you want.

Thus, we get the required results.

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Answer:

x^3 * x^4 = x^7

Step-by-step explanation:

When multiplying numbers with the same base and different exponents the two exponents are added, and the base is kept the same.

Example

x^3= x * x * x

x^4= x * x * x * x

(x * x * x * x) *  (x * x * x) = x^7

since we were given the key ( how it should be sort out or used )

then we get all the numbers out which are:

21, 23, 30, 32, 32, 35, 43, 44, 46, 48, 49, 49, 50, 52, 52, 53, 55

then we go ahead to answer the questions:

a) Range = highest number minus Lowest number

55 - 21 = 34

b) 17 (by counting all individual ages ).

c) Median = the middle age

(but before that, we must arrange the ages either a cording to their sizes either from biggest to smallest (descending order) or from smallest to biggest (ascending order)

so we arrange in ascending order but the numbers are already arranged so we don't have to stress ourselves:

Median = 46 (the number in the middle ).

Hope you ace your tests, Good luck ✅.

The domain and the range of the function are listed below:

Herein we find a representation of the function, of which we need to determine graphically its domain and its range. The domain is the set of x-values, the values of the "horizontal" axis, and the range is the set of y-values, the values of the "vertical" axis. First, determine the domain of the function:

x ≥ - 4

Second, determine the range of the function:

All real numbers.

The domain and the range of the function are x ≥ - 4 and all real numbers, respectively.

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Step-by-step explanation:

A parenthesis is used when the number next to it is NOT part of the solution set

   like :   all numbers up to but not including 3 .    

  Parens are always next to  infinity  when it is part of the solution set .

  A bracket is used when the number next to it is included in the solution set.

Carlos have to travel 105 miles to reach the destination.

The path followed by an object to travel a predetermined distance at a predetermined speed from one place to another is called the distance traveled. As was previously said, the distance formula combines distance, speed, and time.

As per the details share in the above question are as bellow,

The details provided are as follow,

Carlos is traveling by automobile for more than 240 miles.

Carlos has traveled 135 miles so far.

How far must Carlos still travel?

We have to use subtraction method to determine the distance remaining.

Now subtract the total distance by the distance traveled,

Substitute the value in above we get,

=240-135

=105 miles

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Step-by-step explanation:

13.) option d. side side angel ( as it has 2 sides and 1 angle )

14. ) cosine

16 ) formula of law of cosine

c = √a² + b² - 2ab • cos c

c = √31² + 35² - 2 • 31 • 35 • cos (48°)

c = 27.09

hope this answer helps you dear

Answer:

50 pounds of beans costs $40

If ten workers are randomly selected, the probability exactly nine of them say that their jobs were sometimes or always stressful is 0.268 or 26.8%

The result of the recent poll is

80% of respondents said that their jobs were sometimes or always stressful

The 10 workers are randomly selected

Then we have to find the probability exactly nine of them say that their jobs were sometimes or always stressful

The equation

P(X) = nCx × P^x × (1-P)^n-x

Here n = 10

r  = 9

P = 0.80

Substitute the values in the equation

P(9) = 10C9 × 0.80^9 × (1-0.80)^(10-9)

= 10 × 0.134 × 0.20

= 0.268

= 26.8%

Therefore, the probability exactly nine of them say that their jobs were sometimes or always stressful is 26.8%

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Answer:

A=24 good sir/madam.

Step-by-step explanation:

4•6=24

209 went to the first game.

192+17=209

Happy to help.

Answer:

f(y + 2) = 5y - 10

Step-by-step explanation:

To evaluate f(y + 2), substitute x = y + 2 into f(x), that is

f(y + 2) = 5(y + 2) - 20

           = 5y + 10 - 20

           = 5y - 10

Answer:

x = 60

y = 120

z = 60

Step-by-step explanation:

For a triangle with all equal sides, the inside angles will all be 60 degrees

To find x, since it is the opposite side of a 60 degree angle,

it will be 60 itself

for y, a line is technically 180 degrees, so you can find it by doing:

180 - 60(which is the inside angle right next to it) = 120

For z, this is actually a trick where it is also an equilateral triangle (all sides are the same)

So for z, since it is an equilateral triangle, will have an angle of

60

Answer:

I really don't know i need the answer as well

Step-by-step explanation:

The missing word is "modulus". The statement should read: Twelve is congruent to 60 (modulus 8) because both 12 and 60 have 4 as a remainder when divided by 8.

The modulus function, also known as the modulo operation or mod function, is a mathematical operation that returns the remainder when one integer is divided by another. The modulo operation is a quick and efficient way to find the remainder of a division. For example, if we want to know the remainder when 23 is divided by 5, we can simply compute 23 % 5, which equals 3. The symbol "%" is often used to represent the modulo operation in computer programming, while "mod" is used in mathematical notation to indicate congruence. In either case, the statement means that 12 and 60 leave the same remainder when divided by 8.

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Answer:

$11

Step-by-step explanation:

44/4 = 11

Answer:

11 was earned per hour

Step-by-step explanation:

44 divided by 4 is 11

Answer:

50 km/h

Step-by-step explanation:

Avg. speed = distance / time

= 200 km / 4 hours

= 50 km/h

Answer:

length of a side is 3

Step-by-step explanation:

if it is a square, the sides are equal. The diagonal will divide the square into 2 isosceles right triangles with diagonal is the hypotenuse

Pythagorean theorem: c^2 = a^2 + b^2

since a = b in isosceles right triangle

c^2 = 2a^2

18 = 2a^2

a^2 = 18/2 = 9

a = √9 = 3

Given:

The sequence is 8, 10, 12.5, 15.625,...

To find:

The explicit formula for the given sequence.

Solution:

We have,

8, 10, 12.5, 15.625,...

Here, the first terms is 8.

\(\dfrac{10}{8}=1.25\)

\(\dfrac{12.5}{10}=1.25\)

\(\dfrac{15.625}{12.5}=1.25\)

The common ratio is 1.25. So, the given sequence is a geometric sequence.

The explicit formula for a geometric sequence is:

\(a_n=ar^{n-1}\)

Where, a is the first term and r is the common ratio.

The explicit formula for the given geometric sequence is:

\(a_n=8(1.25)^{n-1}\)

Therefore, the correct option is A.

Since the base case holds and the induction step is valid, by mathematical induction, the number 2²ⁿ2²ⁿ⁻¹ 1 can be expressed as the product of at least n prime factors, not necessarily distinct.

To prove that the number

2²ⁿ2²ⁿ⁻¹ 1

can be expressed as the product of at least $n$ prime factors, not necessarily distinct, we can use mathematical induction.
First, let's consider the base case where n = 1.

In this case, the number is

2² 2²⁺¹⁻¹ 1 = 2² 2¹ 1 = 8.

As 8 can be expressed as 2 times 2 times 2, which is the product of 3 prime factors, the base case holds.
Now, let's assume that for some positive integer k,

the number

$2²ˣ 2²ˣ⁻¹1

can be expressed as the product of at least k prime factors.
For

n = k + 1,

we have

2²ˣ⁺¹ 2²ˣ⁺¹⁻¹ 1

= 2²ˣ⁺¹ 2²ˣ 1

= (2²ˣ 2²ˣ⁻¹1)^2.

By our assumption,

2²ˣ 2²ˣ⁻¹ 1

can be expressed as the product of at least k prime factors. Squaring this expression will double the number of prime factors, giving us at least 2k prime factors.
Since the base case holds and the induction step is valid, by mathematical induction, we have proven that the number 2²ⁿ 2²ⁿ⁻¹ 1 can be expressed as the product of at least n prime factors, not necessarily distinct.

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there are 1500 different super subs that can be made.

What is combination?

In mathematics, a combination is a way of selecting objects from a set, where the order in which the objects are selected does not matter. Combinations are used in various areas of mathematics and statistics, as well as in real-world applications such as probability theory, genetics, and computer science.

For the toppings, we have to choose 4 out of the 6 available, so the number of ways to do that is:

6C4

=15

This is the number of combinations of 4 toppings that can be chosen from 6.

For the condiments, we have to choose 3 out of the 6 available, so the number of ways to do that is:

6C3

=20

This is the number of combinations of 3 condiments that can be chosen from 6.

Finally, we have 5 choices of bread.

Therefore, the total number of different super subs that can be made is:

15*20*5 = 1500

So there are 1500 different super subs that can be made.

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Answer:

To find the inverse function of f(x) = 4x + 12, we follow these steps:Replace f(x) with y: y = 4x + 12.Swap the variables x and y: x = 4y + 12.Solve for y in terms of x: y = (x - 12) / 4.Therefore, the inverse function of f(x) is f^-1(x) = (x - 12) / 4.Now, we can verify that f(f^-1(x)) = x and f^-1(f(x)) = x as follows:f(f^-1(x)) = f((x - 12) / 4) [substitute f^-1(x) into f(x)]

= 4((x - 12) / 4) + 12 [substitute (x - 12) / 4 into 4x + 12]

= x [simplify]Therefore, f(f^-1(x)) = x.f^-1(f(x)) = ((4x + 12) - 12) / 4 [substitute f(x) into f^-1(x)]

= x / 4 [simplify]Therefore, f^-1(f(x)) = x/4.Since f(f^-1(x)) = x and f^-1(f(x)) = x/4, we have verified that the inverse function of f(x) satisfies the conditions of an inverse function.

Step-by-step explanation:

The mathematical average of the number of feet in a yard, seconds in a minutes and months in a year is 25.

In Mathematics and Geometry, the arithmetic average for any data set can be calculated by using the following formula:

Arithmetic average = [∑(x)]/n

Generally speaking, we have the following standard parameters;

∑(x) = 3 + 60 + 12

∑(x) = 75

Now, we can determine the arithmetic average as follows;

Arithmetic average = 75/3

Arithmetic average = 25.

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