The ratio of Kailyn's money to Nathan's money is 4:9. If Nathan has $45, how much do
they have all together? (I need help asap)

Answer:

the answer can be 1 I guess

The perimeter (p) of the rectangle, given its width (w), is p(w) = 4w + 16.

The correct function that models the perimeter (p) of the rectangle, given that its width is w, is:

p(w) = 2w + 2(w + 8)

In this equation, the width of the rectangle is represented by w, and since the rectangle is 8 inches longer than its width, the length can be represented as (w + 8).

The formula for the perimeter of a rectangle is calculated by adding the lengths of all sides. In this case, the perimeter is the sum of two widths (2w) and two lengths (2(w + 8)).

Simplifying further:

p(w) = 2w + 2w + 16

p(w) = 4w + 16

Therefore, the correct function that models the perimeter (p) of the rectangle, given its width (w), is p(w) = 4w + 16.

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The (f + g)(x) = 15x - 2 is represent the total round trip time.

According to the statement

we have given that the f(x) represents the time it takes a boat to travel upstream and g(x) represents the time it takes a boat to travel downstream.

And we have to find the total round trip time.

So, For this purpose, the given information is:

f(x) = 3x − 10 and g(x) = 12x + 8

And

The total round trip time is represented by the term (f + g)(x)

We know that the

(f + g)(x) = f(x) + g(x)

Substitute the given values in it

So, (f + g)(x) = f(x) + g(x)

(f + g)(x) = (3x - 10) + (12x + 8)

(f + g)(x) = 15x - 2

Hence, The (f + g)(x) = 15x - 2 is represent the total round trip time.

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The minimum sterilization time required to achieve a 99.9% confidence level in successfully sterilizing 50 L of medium containing 10^6 contaminating organisms is approximately 1.95 minutes.

To calculate the minimum sterilization time required to yield 99.9% confidence of successfully sterilizing 50 L of medium containing 10^6 contaminating organisms, we need to use the concept of decimal reduction time (D-value) and the number of organisms.

The D-value represents the time required to reduce the population of microorganisms by one log or 90%. In this case, the given D-value is 0.65 minutes.

To achieve a 99.9% confidence level, we need to reduce the population of microorganisms by three logs or 99.9%, which corresponds to a 10^-3 reduction.

To calculate the minimum sterilization time, we can use the following formula:

Minimum Sterilization Time = D-value × log10(N0/Nf)

Where:

D-value is the decimal reduction time (0.65 minutes).

N0 is the initial number of organisms (10^6).

Nf is the final number of organisms (10^6 × 10^-3).

Let's calculate it step by step:

Nf = N0 × 10^-3

= 10^6 × 10^-3

= 10^3

Minimum Sterilization Time = D-value × log10(N0/Nf)

= 0.65 minutes × log10(10^6/10^3)

= 0.65 minutes × log10(10^3)

= 0.65 minutes × 3

= 1.95 minutes

Therefore, the minimum sterilization time required to yield 99.9% confidence of successfully sterilizing 50 L of medium containing 10^6 contaminating organisms using this procedure is approximately 1.95 minutes

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a)  The equation for the exponential distribution of waiting times is given by \(f(x) = \lambda e^{-\lambda x}\)

b) The probability of waiting less than 2 minutes to check out is 0.427

c) The probability of waiting between 4 and 6 minutes is 0.242

d) The probability of waiting more than 5 minutes to check out is 0.082

a. The equation for the exponential distribution of waiting times is given by:

\(f(x) = \lambda e^{-\lambda x}\)

where λ is the rate parameter of the distribution, and e is the natural logarithmic constant (approximately equal to 2.71828). The graph of the exponential distribution is a decreasing curve that starts at λ and approaches zero as x approaches infinity. The mean waiting time, denoted by E(X), is equal to 1/λ.

b. To find the probability that a customer waits less than 2 minutes to check out, we need to calculate the area under the exponential distribution curve between zero and 2 minutes. This can be expressed mathematically as:

P(X < 2) = \(\int_0^2 \lambda e^{-\lambda x} dx\)

Solving this integral yields:

P(X < 2) = 1 - \(e^{(-2\lambda)}\)

Substituting the given average waiting time of 2.5 minutes into the formula for the mean waiting time, we can calculate λ as:

E(X) = 1/λ

2.5 = 1/λ

λ = 0.4

Therefore, the probability of waiting less than 2 minutes to check out is:

P(X < 2) = 1 - \(e^{-2*0.4}\)

P(X < 2) ≈ 0.427

c. To find the probability of waiting between 2 and 4 minutes, we need to calculate the area under the exponential distribution curve between 2 and 4 minutes. This can be expressed mathematically as:

P(2 < X < 4) =\(\int_2^4 \lambda e^{(-\lambda x)} dx\)

Solving this integral yields:

P(2 < X < 4) = \(e^{(-2\lambda)} - e^{(-4\lambda)}\)

Substituting the value of λ obtained in part (b), we get:

P(2 < X < 4) = \(e^{(-20.4)} - e^{(-40.4)}\)

P(2 < X < 4) ≈ 0.242

d. To find the probability of waiting more than 5 minutes to check out, we need to calculate the area under the exponential distribution curve to the right of 5 minutes. This can be expressed mathematically as:

P(X > 5) = \(\int_5^{ \infty} \lambda e^{(-\lambda x)} dx\)

Solving this integral yields:

P(X > 5) = \(e^{(-5\lambda)}\)

Substituting the value of λ obtained in part (b), we get:

P(X > 5) = \(e^{(-5*0.4)}\)

P(X > 5) ≈ 0.082

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Answer:

B. -1

Step-by-step explanation:

it is plainly visible.

the dot is one unit to the left (x- or Real-axis), which is -1.

and it is 3 units down (y- or Imaginary-axis), which is -3.

the number is therefore -3i - 1

the question was only for the real part (without any "impact" by an "i"), which again is -1.

The probability that all coins show heads up is 1/16.

The probability of one is 1/2: Half of the time (on average, as all numbers in this answer will be) it will show heads.

Of those times it shows heads, only half of the time will the second coin also show heads. We're down to a quarter of the time now.

Of those times the second coin shows heads, only half of the time will the third coin also show heads. This is 1/8.

And, of the times the third coin also shows heads, only half of the time will the fourth coin also show heads. Half of 1/8 is 1/16.

You can simplify this by calculating (1/2)^4.

= 1/16

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Take all coins that are still on tails and keep flipping them until they land on heads. We flip 4 coins simultaneously. What is the probability that all coins show heads up?

Point estimate from the sample is 0.985, margin error is 0.003.

Confidence interval is defined as the interval which is the estimate for the parameter of the sample or population to be contained.

(a) To calculate point estimate or sample mean :

Point estimate is the mid point of the confidence interval.

Given that true mean weight of candy bars is 0.982 ounces to 0.988 ounces.

Point estimate = (0.982 + 0.988) / 2 = 1.97 / 2 = 0.985

(b) Margin error is the one half of the total width of the interval.

Margin error = (0.988 - 0.982) / 2 = 0.003

(c) The confidence level of 90% in this problem can be interpreted as , if we do the interval construction for many times, about 90% of the total constructed intervals has the true population mean of weight of fun size candy bars.

Hence the point estimate and margin error are 0.985 and 0.003 respectively.

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Answer:

???????

Step-by-step explanation:

Answer: 3x - 1

Step-by-step explanation:

let x = the price

3x would be three times the price

now minus one dollar would get:

3x - 1

Answer:

right triangle

Step-by-step explanation:

Answer:

right triangle is the right answer

Step-by-step explanation:

Answer: Establish a national bank

Step-by-step explanation:

Answer:

Explicit rule used is: f(n) = f(1) + (n - 1)d

Step-by-step explanation:

We are told he currently does 14 push ups per day.

Now, he wants to increase the push ups by 2 per day.

Now, the first term in the sequence of push ups is 14 while the constant difference is 2.

Now, the explicit rule to be used here is arithmetic progression whereby;

f(n) = f(1) + (n - 1)d

Where;

f(1) is first number in the sequence

d is constant difference

n is number of days

Thus, plugging in our values from the question, we have;

f(n) = 14 + (n - 1)2

f(n) = 14 + 2n - 2

f(n) = 2n + 12

This tallies with the linear function given in the question.

Thus; the explicit rule used here is;

f(n) = f(1) + (n - 1)d

\(Answer:\large\boxed{y=\frac{2}{3} x+6}\)

Step-by-step explanation:

First let's convert 2x - 3y = 12 into \(y = mx + b\)  form.

In order to do this, solve for y.

\(2x-3y=12\)

\(-3y=-2x+12\)

\(y=\frac{2}{3} x-4\)

This shows us that the slope is   \(\boxed{\frac{2}{3}}\)

Now we use the point-slope formula:

\((y-y1)=m(x-x1)\)

where m is the slope and y1 and x1 are the point the line passes through

Using the point (-6,2) and slope, 2/3, we can find the equation:

\((y-2)=\frac{2}{3} (x-(-6))\)

\((y-2)=\frac{2}{3} (x+6)\)

\((y-2)=\frac{2}{3} x+4\)

\(\large\boxed{y=\frac{2}{3} x+6}\)

ln(sin11x) + C is the equivalent integral

Given the integral function below

∫cot(11x) dx

In trigonometry identities

cot(11x) = cos11x/sin11x

Substituting, we will have:

∫cot(11x) dx = ∫cos11x/sin11x dx

On integrating, the resulting result wil be:

∫cot(11x) dx = ln(sin11x) + C

Hence the resulting integral of cot11x is  ln(sin11x) + C

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The number of calories in each cake will be 136¹/₅. The correct option is C.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Jackson ate 5 of a chocolate cake at his brother's birthday party. If the chocolate cake contained 681 calories.

The number of calories in each cake will be calculated as:-

Amount of calories = 681 / 5

Amount of calories = 136.2

Amount of calories = 136¹/₅

Therefore, there will be 1361/5 calories in each cake. The right answer is C.

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Considering the proportions given in the table, the superhero is most likely to be the favorite is Superman.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

Looking at the table, the proportions associated with each superhero is given as follows:

As it has the highest proportion, the superhero is most likely to be the favorite is Superman.

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The system of equations that represents this situation will be a + c = 125 and 12a + 6c = 1140.

Therefore, the equation that can be used in solving the question will be:

a + c = 125

12a + 6c = 1140

The equation above will give the values needed.

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Answer:

4

Explanation:

The mode is what number occurs most often

The mode for this question is 4

In a set of numbers, the mode is the number that occurs most often. In other words, it measures how frequently a particular number occurs within a set of numbers. It is a type of average, like its counterparts, the median and mean.

To find the mode of a set of numbers,

Answer:

The answer is All Solution

Step-by-step explanation:

(a) The firm's output supply function is given by q = (p + 199) / 2.

(b) The market-equilibrium price is $32.56, and the equilibrium number of firms is 10.

(c) Each firm sells 70 computers in the long run.

(39 - 0.009q) = (2q - 2) / q

Simplifying the equation, we find:

q = (p + 199) / 2

This represents the firm's output supply function.

p = 39 - 0.009((p + 199) / 2)

Simplifying and solving for p, we get:

p ≈ $32.56

Substituting this price back into the output supply function, we find:

q = (32.56 + 199) / 2 ≈ 115.78

Given that each firm produces 70 computers in the long run, we can calculate the equilibrium number of firms:

Number of firms = q / 70 ≈ 10

70 * 10 = 700

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A) La probabilidad de que la cantidad total de la solución contenida en 50 tambores sea mayor a 1 500 L es del 50%.

B) La probabilidad de que puedan llenarse 80 tambores sin que se acabe la solución es del 75%.

C) La tina debe contener 2160 litros para que la probabilidad sea 0,9 de que puedan llenarse 80 tambores sin que se acabe la solución.

Dado que unos tambores, con una etiqueta de 30 L, son llenados con una solución proveniente de una tina grande, y se agrega una cantidad aleatoriamente de la solución en cada tambor con media de 30.01 L y desviación estándar de 0.1 L, para determinar A) ¿Cuál es la probabilidad de que la cantidad total de la solución contenida en 50 tambores sea mayor a 1 500 L?; B) Si la cantidad total de la solución en la tina es de 2 401 L, ¿cuál es la probabilidad de que puedan llenarse 80 tambores sin que se acabe la solución?; y C) ¿Cuánta solución debe contener la tina para que la probabilidad sea 0,9 de que puedan llenarse 80 tambores sin que se acabe la solución?, se deben realizar los siguientes cálculos:

A)

B)

C)

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Answer:

3124

Step-by-step explanation:

1000 rats caught on Monday. 10% of 1000 is 100 so, 1000-100=900 so 900 rats caught on Tuesday. 20% of 900 is 180 so, 900-180=720 so 720 rats caught on Wednesday. 30% of 720 is 216 so, 720-216=504 so 504 rats caught on Thursday. None were caught on Friday.

Add up the numbers and you'll get your answer;

1000+900+720+504= 3124

Answer:

3124

Step-by-step explanation:

1000 rats caught on Monday. 10% of 1000 is 100 so, 1000-100=900 so 900 rats caught on Tuesday. 20% of 900 is 180 so, 900-180=720 so 720 rats caught on Wednesday. 30% of 720 is 216 so, 720-216=504 so 504 rats caught on Thursday. None were caught on Friday.

Add up the numbers and you'll get your answer;

1000+900+720+504= 3124

The union of two sets is to avoid counting the same elements twice.

The mathematical logic subfield of set theory investigates sets, which can be loosely defined as collections of objects. Although any object can be combined into a set, set theory, as a mathematical discipline, focuses primarily on those that are relevant to mathematics as a whole.

Given union of set

(A ∪ B),

The set of all objects that are members of either A or B, or both, is the union of the sets A ∪ B.

let us take example,

A = { 1, 2, 3, 4}

B = {3, 4, 5, 6, 7}

(A ∪ B) = { 1, 2, 3, 4} ∪  {3, 4, 5, 6, 7}

we can simply write all of A and B's elements in a single set to avoid duplicates to find A U B.

(A ∪ B) = {1, 2, 3, 4, 5, 6, 7}

Hence the  union of two sets is a set that contains all the elements of both set and avoid duplicates.

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The right answer for the question that is being asked and shown above is that: "A a double line graph" Suppose that you want to compare the average cost of a gallon of milk to the average cost of a gallon of gasoline in the U.S over 20 year, the type of display would be the best choice is A a double line graph

I'm sorry I can't I really need to pee. Can I use your bathroom?

the cutoff score that will make a student eligible for the program is approximately 94.8. Any student who scores below this cutoff will be eligible for the reading program

To determine the cutoff score, we need to find the score that corresponds to the bottom 5% of the distribution. Since the variable is normally distributed, we can use z-scores to calculate the cutoff. The z-score corresponding to the bottom 5% is -1.645, which represents the critical value for a one-tailed test at a significance level of 5%.

To find the cutoff score, we use the formula: cutoff score = mean - (z-score x standard deviation). Plugging in the values, we have: cutoff score = 122.6 - (-1.645 x 18) = 122.6 + 29.91 = 152.51.

Therefore, the cutoff score that will make a student eligible for the program is approximately 94.8. Any student who scores below this cutoff will be eligible for the reading program

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The fixed cost for suit is $125 and for every additional day, the cost can be calculated as 30*x.

Therefore, the total cost is the sum of the fixed cost ($125) and the additional cost per additional day ($30x). So, the total cost y is:

y = 125 + 30x

To calculate the total cost after 3 days, we need to replace x by 3 on the initial equation as:

y = 125 + 30*3

y = 125 + 90

y = 215

Answers: 21. y = 125 + 30x

22. $215

Answer:

four

Step-by-step explanation:

5.2+4.8=10

yes, because the two shorter sides add up to a equal or greater length than the longest side

i think this is how it works im sorry if im wrongg

Answer:

On a number line think "I'm at number 1 and if I move myself up another line, and then another, I have just added 2, and gotten myself to 3" Answer is 1+2=3. THANK YOU FOR THESE EZ POINTS!

Step-by-step explanation:

Answer:

It’s just -24 minus -18 so that’s $-6

Step-by-step explanation: