I need help here plz​

Answer:

Word problem is the operation

Answer:

(3,5)

Step-by-step explanation:

Twin primes are a pair of prime numbers that differ by 2. Let's consider a pair of twin primes, p and p + 2 (where p > 3). We want to prove that the number between them, p + 1, is divisible by 6.

We know that every prime number greater than 3 can be written in the form 6k ± 1 for some integer k. This is because any integer can be written in one of six possible forms: 6k, 6k + 1, 6k + 2, 6k + 3, 6k + 4, or 6k + 5. However, we can eliminate the forms that are divisible by 2 or 3 (except for 2 and 3 themselves), leaving only 6k ± 1 and 6k ± 5. Since twin primes differ by 2, they must both be of the form 6k ± 1.

Let's consider p, the smaller of the twin primes. We know that p is of the form 6k ± 1 for some integer k. If p is of the form 6k + 1, then p + 2 is of the form 6k + 3, which is not prime (since it is divisible by 3). Therefore, p must be of the form 6k - 1. Then, p + 1 is of the form 6k, which means it is divisible by 2 and by 3.

Similarly, if p + 2 is of the form 6k - 1, then p is of the form 6k - 3, which is not prime (since it is divisible by 3). Therefore, p + 2 must be of the form 6k + 1. Then, p + 1 is of the form 6k, which means it is divisible by 2 and by 3.

Therefore, in either case, the number between the twin primes, p + 1, is divisible by 6. We have shown that this is true for any pair of twin primes except for the pair (3, 5).

Their ages are given below:

The sum of their ages would be 57 years.

The current age of Nico is 27 - 7 = 20 years.

Therefore, Maria and Luis's current ages would be 8 years older than when they were 10 and 11 respectively,

so Maria is currently 18 years old and Luis is currently 19 years old.

Therefore, the sum of their current ages is 18 + 19 + 20 = 57 years.

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8 years ago, Maria was 10 years old and Luis was 11 years old. In 7 years Nico will be 27 years old, what is the sum of the current ages of Maria, Luis and Nico?

Answer:

141

Step-by-step explanation:

2*3=6

5*9=45

6*15=90

141

Answer:

add all the sides I guess...

Step-by-step explanation:

or you can break that figure into rectangles. then find their areas and later sum up all the areas and you'll have your area of this shape

Answer: To calculate the amount of simple interest, we use the formula: I = P * r * t, where P is the principal amount (7500), r is the annual interest rate (5%) and t is the time in years (5).

So, the simple interest is: I = 7500 * 5 * 0.05 = 187.5

The total amount Susan will have to pay back to the bank is the principal amount plus the interest:

7500 + 187.5 = $76 87.5

Therefore, Susan will pay the bank back $76 87.5 after 5 years.

Step-by-step explanation:

In conclusion, we can use the if-else statement in Python to create a new variable with a value of 1 if the customer's predicted probability is greater than or equal to the breakeven response rate and 0 otherwise.

Given a prediction probability and a breakeven response rate, we need to create a new variable that takes the value of 1 if the customer's predicted probability is greater than or equal to the breakeven response rate and 0 otherwise. We can create this variable using an if-else statement in Python.The code to create the new variable "target" is as follows:```python

if predicted_prob >= breakeven_response_rate:

   target = 1

else:

   target = 0

```Where `predicted_prob` is the predicted probability of a customer responding to a marketing campaign, and `breakeven_response_rate` is the minimum response rate required for the campaign to break even. If `predicted_prob` is greater than or equal to `breakeven_response_rate`, `target` is set to 1. Otherwise, it is set to 0. This ensures that the new variable takes the value of 1 only for those customers who are likely to respond to the campaign, and 0 for those who are not likely to respond. The use of `if-else` statement helps us to create a logical condition that evaluates the predicted probability with the breakeven response rate.In conclusion, we can use the if-else statement in Python to create a new variable with a value of 1 if the customer's predicted probability is greater than or equal to the breakeven response rate and 0 otherwise. The code provided above uses this approach to create the variable "target". The length of the answer is 150 words.

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Answer:

option D; 20/3 OR 6 2/3

Step-by-step explanation:

CONVERT THE HOURS INTO MINUTES;

3/4 × 60 = 45 mins

1hour = 60 mins

45 mins = 5 miles

60 mins = ??

cross multiply;

60 by 5 ÷ 45 to get 20/3.

Answer:

Its 6

Step-by-step explanation:

6 times 2 equals 12

so m=6

Answer:

m=24

Step-by-step explanation:

12x2=24

24/2=12

Answer:

X

Step-by-step explanation:

Mathematically, the tangent of an angle is the ratio of the opposite side to the adjacent side

So, for 20/22; 20

is the opposite while 22 is the adjacent

The opposite side simply refers to the side that faces the given angle

We have the opposite side here as facing the angle X and that makes X the correct answer

The perimeter of square ABCD is 28 units.

The perimeter of a square is the sum of all its sides. In this case, we need to find the perimeter of square ABCD.

The question provides two possible answers: 28 units and 37 units. However, we can only choose one correct answer. To determine the correct answer, let's think step by step.

A square has all four sides equal in length. Therefore, if we know the length of one side, we can find the perimeter.

If the perimeter of the square is 28 units, that would mean each side is 28/4 = 7 units long. However, if the perimeter is 37 units, that would mean each side is 37/4 = 9.25 units long.

Since a side length of 9.25 units is not a whole number, it is unlikely to be the correct answer. Hence, the perimeter of square ABCD is most likely 28 units.

In conclusion, the perimeter of square ABCD is 28 units.

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Therefore, the distance between P and L is 0. Given the plane P with equation 2x +y – 2 = 3, and line L with symmetric equation x = 1 - y = 2,

we are supposed to determine if they intersect and if not, we should find the distance between them. Therefore, let us first find the normal vector of the plane P.

We know that the general equation of a plane is given by Ax + By + Cz = D, where A, B, and C are the coefficients of x, y, and z, respectively. Thus the normal vector is n = ai + bj + ck where a = 2, b = 1, and c = 0 such that n = 2i + j.

The plane P can be rewritten as 2x + y = 5 which implies that the point (1,1) lies on the plane P. Next, let us find the direction vector of the line L which is the difference between two points on the line L. Thus the direction vector is given by d = (-1, 2, 0). We notice that d is perpendicular to the normal vector n of the plane P because their dot product is zero (d. n = 0). Thus the line L is parallel to the plane P, and therefore they do not intersect.

To find the distance between them, we draw a perpendicular from the point (1, 1) to the line L. We can see that this perpendicular is the line x = 1 which passes through (1, 1) and is parallel to L. Thus the distance between P and L is the distance between the point (1, 1) and the line x = 1, which is 0 because the point (1, 1) lies on the line x = 1. Therefore, the distance between P and L is 0.

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There are 15,504 ways to randomly select a team of 5 people from a group of 20 people

If there are 20 people trying out for a team, the number of ways to select a team of n people can be calculated using the formula for combinations, which is:

C(20, n) = 20! / (n! * (20 - n)!)

where C(20, n) represents the number of ways to select n people from a group of 20 people.

For example, if we want to select a team of 5 people, we can plug in n = 5 and calculate:

C(20, 5) = 20! / (5! * (20 - 5)!) = 15,504

Therefore, there are 15,504 ways to randomly select a team of 5 people from a group of 20 people. Similarly, we can calculate the number of ways to select teams of different sizes by plugging different values of n into the formula for combinations.

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The probability that a randomly selected customer bought exactly 1 of the accessories is 0.664, or 66.4%.

To find the probability that a randomly selected customer bought exactly 1 of the accessories, we need to determine the number of customers who bought exactly 1 accessory and divide it by the total number of customers.

Let's denote the events:

A = customer bought a case

B = customer bought an extended warranty

C = customer bought a dock

We are given the following information:

411 customers bought cases (A)

82 customers bought extended warranties (B)

100 customers bought docks (C)

57 customers bought both a dock and a warranty (B ∩ C)

65 customers bought both a case and a warranty (A ∩ B)

77 customers bought both a case and a dock (A ∩ C)

48 customers bought all three accessories (A ∩ B ∩ C)

58 customers bought none of the accessories

To find the number of customers who bought exactly 1 accessory, we can sum the following quantities:

(A - (A ∩ B) - (A ∩ C)) + (B - (A ∩ B) - (B ∩ C)) + (C - (A ∩ C) - (B ∩ C))

(A - (A ∩ B) - (A ∩ C)) represents the number of customers who bought only a case.

(B - (A ∩ B) - (B ∩ C)) represents the number of customers who bought only an extended warranty.

(C - (A ∩ C) - (B ∩ C)) represents the number of customers who bought only a dock.

Calculating the above expression, we get:

(411 - 65 - 77) + (82 - 65 - 57) + (100 - 77 - 57) = 332

Therefore, there are 332 customers who bought exactly 1 of the accessories. To find the probability, we divide this number by the total number of customers, which is 500:

Probability = 332/500 = 0.664

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Answer:

- The car's rate in kilometers per hour is 108 kilometers per hour

- The car will travel 540 kilometers in 5 hours

Step-by-step explanation:

Here is the complete question:

A car is traveling at a rate of 30 meters per second. What is the car's rate in kilometers per hour? How many kilometers will the car travel in 5 hours? Do not round your answers.

Step-by-step explanation:

1000 meters = 1 kilometer

∴ 1 meter = 0.001 kilometer

3600 seconds = 1 hour

∴ 1 second = 1/3600 hour

Therefore,

\(30 meters/ second\) = \(\frac{30 \times 0.001 kilometer}{1/3600 hour}\)

= \(\frac{30 \times 0.001 \times 3600 kilometers}{1 hour}\)

= 108 kilometers / hour

Hence, the car's rate in kilometers per hour is 108 kilometers per hour.

From the formula

Speed = Distance / Time

∴ Distance = Speed × Time

(NOTE: Speed is also known as rate)

Speed (Rate) = 108 kilometers / hour

Time = 5 hours

∴ Distance = Speed × Time gives

Distance = 108 × 5

Distance = 540 kilometers

Hence, the car will travel 540 kilometers in 5 hours.

Answer:

Step-by-step explanation:

hello

\(2x+2=6<=> 2x+2-2=6-2 \ \ \ substract \ \ 2\\<=> 2x = 4 <=> \dfrac{2x}{2}=x=\dfrac{4}{2}=2 \ \ \ divide \ \ by \ \ 2\\\)

so the solution is 2

\(5x+4=8<=> 5x+4-4=8-4 \ \ \ substract \ \ 4\\<=> 5x = 4 <=> \dfrac{5x}{5}=x =\dfrac{4}{5} \ \ \ divide \ \ by \ \ 5\)

so the solution is 4/5

hope this helps

Let's see how to solve this equations:

\(2x + 2 = 6\\2x = 6 - 2\\2x = 4\\x = \frac{4}{2} \\x=2\)

\(5x + 4 =8\\5x = 8 - 4\\5x = 4\\x = \frac{4}{5}\)

The greatest height reached by the football kicked straight up into the air, hitting the ground 6.38 s later, can be determined using the given information.

To find the greatest height reached by the ball, we can use the equations of motion for vertical motion under gravity. When the ball reaches its highest point, its vertical velocity becomes zero, and the time taken to reach that point is half of the total time of flight.

Using the equation h = v₀t - (1/2)gt², where h is the height, v₀ is the initial velocity, t is the time, and g is the acceleration due to gravity, we can calculate the height.

Since the ball is kicked straight up, its initial velocity v₀ is positive. The time taken to reach the highest point is half of the total time of flight, which is 6.38 s / 2 = 3.19 s.

Plugging in the values, we have h = v₀(3.19) - (1/2)(9.8)(3.19)².

To determine v₀, we can use the fact that the time taken to reach the highest point is the same as the time taken to return to the ground. Thus, v₀ = gt, where g is the acceleration due to gravity.

Substituting this value of v₀ into the equation, we have h = (gt)(3.19) - (1/2)(9.8)(3.19)².

Calculating this expression will give us the greatest height reached by the ball.

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Answer:

incomplete question friend

The least squares method minimizes the sum of the squared differences between the observed data points and the predicted values.

The least squares method is a mathematical technique used to find the best fit line or curve for a set of data points. It is commonly used in regression analysis to determine the relationship between two variables.

The method works by minimizing the sum of the squared differences between the observed data points and the predicted values from the line or curve. This sum is known as the residual sum of squares (RSS) or the sum of squared residuals (SSR).

The least squares method aims to find the line or curve that minimizes this sum, meaning it minimizes the overall error between the observed data and the predicted values. By minimizing the sum of squared differences, the method finds the line or curve that best represents the data.

In other words, the least squares method seeks to find the line or curve that provides the best balance between fitting the data closely and avoiding extreme deviations from the data points.

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The least squares method for determining the best fit minimizes the sum of the squared differences between the observed data points and the corresponding values predicted by the mathematical model or regression line.

In other words, it aims to minimize the sum of the squared residuals, where the residual is the difference between the observed data point and the predicted value. By minimizing the sum of squared residuals, the least squares method finds the line or curve that best fits the data by minimizing the overall error between the predicted values and the actual data.

Mathematically, the least squares method minimizes the objective function:

E = Σ(yᵢ - ŷᵢ)²

where yᵢ is the observed value, ŷᵢ is the predicted value, and the summation Σ is taken over all data points. The goal is to find the values of the parameters in the mathematical model that minimize this objective function, usually by differentiating it with respect to the parameters and setting the derivatives equal to zero.

By minimizing the sum of squared differences, the least squares method provides a way to estimate the parameters of a mathematical model that best represents the relationship between the independent and dependent variables in a data set.

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Answer:

(0, 5), (-8, 3), (-6, 0)

Step-by-step explanation:

(0, 5) reflected across the y-axis = (0, 5)

(8, 3) reflected across the y-axis = (-8, 3)

(6, 0) reflected across the y-axis = (-6, 0)

Since the reflection is across the y-axis, we have to switch all of the x-values signs from positive to negative to get them from the top right side of the graph (positive side) to the top left side of the graph (negative side).

The only exception in this case is with the x-value 0 because 0 can never be negative or positive and remains in the middle of the graph.

Answer:

\( \frac{ {x}^{ - 2} {y}^{ \frac{1}{2} } }{ \sqrt{36x {y}^{2} } } = \frac{ \sqrt{y} }{ {x}^{2} \sqrt{36x {y}^{2} } } = \frac{ \sqrt{y} }{6 {x}^{2}y \sqrt{x} } = \frac{1}{6 {x}^{ \frac{5}{2} } {y}^{ \frac{1}{2} } } = \frac{1}{6} {x}^{ - \frac{5}{2} } {y}^{ - \frac{1}{2} } \)

\( \frac{1}{6} \times - \frac{5}{2} \times - \frac{1}{2} = \frac{5}{24} \)

The function in variable w giving the cost C (in dollars) of constructing the box is C(w) = 30w² + 270/w. The result is obtained by using the formula of volume and area of the box.

We have a rectangular storage container without a lid.

The formula of volume of the box is

V = l × w × h

Where

So, the height is

10 = 2w × w × h

10 = 2w² × h

h = 10/2w²

h = 5/w²

To find the total cost, calculate the area of base and sides of the box!

See the picture in the attachment!

The base area is

A₁ = 2w × w = 2w² m²

The sides area is

A₂ = 2(2wh + wh)

A₂ = 2(3wh)

A₂ = 6wh

A₂ = 6w(5/w²)

A₂ = 30/w m²

The total cost is

C = $15(2w²) + $9(30/w)

C = $30w² + $270/w

The function of the total cost is

C(w) = 30w² + 270/w

Hence, the function of constructing the box is C(w) = 30w² + 270/w.

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Answer:

The mean is 53.9 without the added number 51.

With the added number 51 the mean changes too 50.36

This changes the effect in the data set by adding a new number.

Answer:

C

Step-by-step explanation:

38.92 x 10^4 = 3892000

Answer:

(d) is ans.

Step-by-step explanation:

brcause point will move four digit the anawer will be =389.2x10^4

The number of guests on Saturday is 210 and it is greater than the party of Friday (15 guests)

Last Friday had 15 guests

The sum total of guests on Saturday= 210 guests (using Arithmetic progression)

Using the arithmetic progression sum formula:

1 * 20  + (20 * 19/2) * 1= 210

Therefore, 210 > 15, so we can conclude that the Saturday night party was bigger than Friday's own.

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The equation of the circle in standard form is:

x^2 + y^2 = 6

We know that the equation of a circle whose center is (a, b) and the radius is R, can be written as:

(x - a)^2 + (y -b)^2 = R^2

Here the center is the origin, so it is (0, 0), and the radius is R = √6, then the equation will be:

(x - 0)^2 + (y- 0)^2 = √6^2

x^2 + y^2 = 6

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The length of the rectangular plot is  125 ft.

The side of a right angle triangle can be found using Pythagoras's theorem as follows:

Therefore, the length of the rectangular plot can be found as follows:

c² = a² + b²

where

Therefore,

l² = 325² - 300²

l² = 105625 - 90000

l = √15625

l = 125 ft

Therefore,

length of the rectangular plot = 125 ft

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Answer:

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Using the Median (measure of center) and range

Room 212 :

Median = 20

Range = maximum - minimum = (22 - 15) = 7

Interquartile range = Q3 - Q1

Q3 = 21

Q1 = 19

IQR = 21 - 19 = 2

ROOM 214 :

Median = 22

Range = maximum - minimum = (25 - 16) = 9

Interquartile range = Q3 - Q1

Q3 = 23

Q1 = 20

IQR = 23 - 20 = 3

If sofia has a collection of 200 coins, 40 coins represent 20% of Sofia's collection.

To find out how many coins represent 20% of Sofia's collection, we need to first calculate what 1% of her collection is.

To do this, we can divide the total number of coins by 100:

1% of Sofia's collection = 200 coins ÷ 100 = 2 coins

Now that we know that 1% of her collection is 2 coins, we can find 20% by multiplying 2 by 20:

20% of Sofia's collection = 2 coins × 20 = 40 coins

Therefore, 40 coins represent 20% of Sofia's collection.

To find out what percentage a different number of coins represents, we can use the same method. For example, if we want to know what percentage 30 coins represent, we can divide 30 by 2 (since 2 coins represent 1%), which gives us 15%.

So, 30 coins represent 15% of Sofia's collection.

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