if john has pairs of red, orange, yellow, blue, green and white socks, how many orders can he wear them in over 6 days? repetition is not allowed because john puts his socks in the wash at the end of the day.

Answer:

the graph can be x-y=2

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

I took the test

also you should show the graph so that people who didnt take the test can also answer

(oﾟvﾟ)ノ

Answer:

a

Step-by-step explanation:

The value of the algebraic expression 11.5x + 10.9y  at x = 6 and y = 7 is 145.3

What is an algebraic expression?

Algebraic expression consists of variables and numbers connected with addition, subtraction, multiplication and division

The given algebraic expression is 11.5x + 10.9y

We have to find the value of the algebraic expression at x = 6 and y = 7

Putting x = 6 and y = 7 in the algebraic expression,

\(11.5 \times 6 + 10.9 \times 7\)

69 + 76.3

145.3

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From the given information in the dichotomous key, the relationship that can be determined is that organism Z is genetically closer to organism X than to organism Y.

This conclusion is drawn based on the statement that organism X and organism Z have at least one observable trait in common. It indicates a similarity between these two organisms. Additionally, the statement also mentions that organism Y has at least one observable trait in common with organisms X or Z, implying some level of similarity between organism Y and either organism X or organism Z.

Moreover, the key states that organism X is in a different phylum than organism Y, suggesting a taxonomic distinction between these two organisms.

Therefore, based on the information provided, the relationship that can be determined is that organism Z is genetically closer to organism X than to organism Y.

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Step-by-step explanation:

a) 4x 12+n = There are no like terms )

b) (4x12) +n = There are no like terms )

c) 4x (12+ n)  = 4nx+48x

d) 4+ (12 x n) =12nx+4

( I hope this was helpful ) >;D

Answer:

Chord

Step-by-step explanation:

Notice that the highlighted part is the line segment that joins the points J and E on the circle, which is known as a chord.

Answer:

1/5 is the lowest fraction term for 0.20

The given statement "The classical model of decision making assumes that managers have all of the information they need in order to make the optimum decision." is false because it is not necessary that they have all information.

The classical decision-making model assumes that managers have access to all the relevant information, but it does not necessarily assume that they have all the information they need to make the optimum decision.

The model also assumes that the decision-maker is rational and logical, able to identify and evaluate all alternatives and select the best one based on a careful analysis of the pros and cons of each option. However, in practice, managers may not have access to all the information they need, or they may be influenced by biases or external pressures that can lead to suboptimal decision-making.

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The value of the mean for the scores in an exam which are normally distributed is 70.

Given:

the scores in an exam were normally distributed with unknown mean and a standard deviation of 5 .

if 30.85 % of students scored more than 72.5 . what is the value of the mean = ?

Mean = µ

σ = 5

x = 72.5

The z score corresponding to the area 30.85% in the right tail is :

Zi score = Z 0.3085

             = 0.500

Again : Z₀ = x- µ/σ

           ⇒ x- µ = Z₀σ

           ⇒ µ = x - Z₀σ

                  = 72.5 - 0.500 × 5    (using z table)

                  = 72.5 - 2.5

                  = 70

Hence we get the unknown mean as 70.

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Answer:

B

Step-by-step explanation:

340=100+6x

Using the fοrmula fοr area οf a rectangle, the area οf figure is 142ft²

The area οf a rectangle is calculated by multiplying its length by its width. Sο, if the length οf a rectangle is "l" and its width is "w", then the area οf the rectangle is Area = length x width = l x w

Diving the figure intο three rectangles and adding their individual area we get the area οf figure.

Area οf 1st rectangle with dimensiοns 1ft x 15ft

A₁=1ft x 15ft = 15ft²

Area οf 2nd rectangle with dimensiοns 5ft x (15-4)ft

A₂= 5ft x (11)ft = 55ft²

Area οf 3rd rectangle with dimensiοns (18-1-5)ft x (15-4-5)ft

A₃= 12ft x 6ft = 72ft²

By adding the areas

A= A₁ + A₂ + A₃ = 15+55+72= 142ft²

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The nearest whole number, the estimated time required by the 50th unit is 47 minutes.Therefore, the correct option is b. 48 minutes.

Given the 13th unit requires 87 minutes and 26th unit requires 64 minutes.To find the estimated time required by the 50th unit, we need to use the equation of the linear equation of the line.Let's find the value of m (slope).`m = (64 - 87)/(26 - 13)m = -23/13`Let's find the value of b (y-intercept).`b = 87 - (-23/13) × 13b = 87 + 23b = 110`

Therefore, the equation of the line can be written as:y = -23/13 x + 110Let's substitute the value of x as 50 and find the value of y (time required by the 50th unit).`y = -23/13 × 50 + 110y = 47.31`Rounded to the nearest whole number, the estimated time required by the 50th unit is 47 minutes.Therefore, the correct option is b. 48 minutes.

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The area of the composite figuren as shown in the diagram is 90 in².

Area is the region bounded by a plane shape.

To calculate the area of the figure, we use the formula below

Formula:

Where:

Substitute these values into equation 1

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In a case whereby Adam traveled out of town for a regional basketball tournament. He drove at a steady speed of 72.4 miles per hour for 4.62 hours. The exact distance Adam traveled was miles Adam traveled a distance of about 335 miles.

The distance traveled in a unit of time is called speed. It refers to a thing's rate of movement. The scalar quantity known as speed is the velocity vector's magnitude. It has no clear direction.

Speed = Distance/ time

speed =72.4 miles

time=4.62 hours

Distance =speed * time

= 72.4 *4.62

Distance = 334.488 miles

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complete question;

Adam traveled out of town for a regional basketball tournament. He drove at a steady speed of 72.4 miles per hour for 4.62 hours. The exact distance Adam traveled was miles. Rounding decimals to the nearest whole number, Adam traveled a distance of about miles.

Approximately a dog eats 0.7 pounds of food in a day.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Michelle's dog eats 10 pounds of dog food every 2 weeks.

We know that, in 2 weeks there are 14 days.

Number of pounds of food a dog eats in day = Total pounds of food/Number of days

= 10/14

= 0.7

Therefore, approximately a dog eats 0.7 pounds of food in a day.

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Solving the equations for the total number of adults and children and respective ticket costs, we find out that the number of adults and children that attended the movie theater are 13 adults and 6 children.

It is given to us that -

A total of 19 people attended the movie theater which was a mix of adults and children

Each adult ticket was $9

Each child’s ticket was $5.50.

Total cost for the party was $150

We have to find out the number of adults and children that attended the movie theater.

Let us assume that the number of adults and children that attended the movie theater be \(x\) and \(y\) respectively.

Since, a total of 19 people attended the movie theater including both adults and children, we can say that -

\(x+y=19\) ------ (1)

It is also given that each adult ticket was $9 and each child’s ticket was $5.50. So,

For \(x\) adults, the ticket price = \(9x\), and

For \(y\) children, the ticket price = \(5.5y\)

It is given that the total cost for the party was $150

\(= > 9x+5.5y=150\) ------- (2)

From equation (1), we have

\(x+y=19\\= > y =19-x\) ------ (3)

Substituting this value of \(y\) in equation (2),

\(= > 9x+5.5y=150\\= > 9x+5.5(19-x)=150\\= > 9x +104.5-5.5x=150\\= > 3.5x=45.5\\= > x=13\)------ (4)

Substituting this value of \(x\) from equation (4) in equation (3), we get

\(y=19-x\\= > y=19-13\\= > y=6\)

Thus, solving the equations, we find out that the number of adults and children that attended the movie theater are 13 adults and 6 children.

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After 37 bounces, the ball's height will be less than 1 foot.

The initial height of the ball is 50 feet.

After first bounce, the ball will reach a height of:

= 50 feet * (1 - 10%)

= 45 feet.

After second bounce, it will reach a height of:

= 45 feet * (1 - 10%)

= 40.5 feet.

Height decreases by 10% after each bounce.

We have to set up an equation:

50 feet * (0.9)^n < 1 foot

Simplifying:

0.9^n < 1/50

Taking the logarithm:

n * log(0.9) < log(1/50)

n > log(1/50) / log(0.9)

n > 37.1298771746

n > 37.13.

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The median value is the 11th score which is 84%.Changing 49% to 69% will increase the mean but the median will not change.

The three measures of central tendency used in statistics are mean, median, and mode. While describing a set of data, we always specify the focal point of any data set. The measure of central tendency is this. Every day, data are presented to us. We discover them in books, articles, bank statements, phone and utility bills, as well as in newspapers. There are so many; they are all around us. The challenge now is if we can identify some key characteristics of the data by focusing on only a few data points. The means, medians, and modes—measures of central tendency or averages—can be used to do this. When describing a set of data, a measure of central tendency locates the set's center.

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Answer:

IT WAS NOT D!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Answer:

Answer C

Step-by-step explanation:

The rules of logarithmic functions require the two log functions to have the same base. If they do not have the same base, you cannot apply any of the rules.

Answer:

Last option

Step-by-step explanation:

They need same base inorder to apply any property

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Cluster HR (Hertzsprung-Russell) diagrams are powerful tools in validating stellar evolution models and determining the age of star clusters.

1. HR Diagrams: An HR diagram plots the luminosity (or absolute magnitude) of stars against their effective temperature (or spectral type) on a logarithmic scale. By studying the distribution of stars in an HR diagram, we can gain insights into their evolutionary stages and properties.

2. Stellar Evolution Models: Stellar evolution models describe the life cycles of stars, predicting their evolution from birth to death based on their mass, composition, and other factors. These models provide theoretical expectations for how stars of different masses should evolve and change over time.

3. Cluster Formation: Star clusters are groups of stars that form together from the same molecular cloud. By studying the properties of stars within a cluster, we can assume that they have similar ages and compositions, making them ideal for testing stellar evolution models.

4. Main Sequence Fitting: The main sequence is a prominent feature in an HR diagram, representing stars in the hydrogen-burning phase, where they spend most of their lives. By comparing the main sequence of a star cluster with stellar evolution models, we can determine if the models accurately predict the distribution of stars with different masses and ages on the main sequence.

5. Turn-off Point: The turn-off point in an HR diagram is the location where stars are leaving the main sequence and evolving into other stages. The precise location of the turn-off point depends on the age of the cluster. By comparing the turn-off point of a cluster with stellar evolution models, we can estimate the cluster's age.

6. Isochrones: Isochrones are curves in an HR diagram that represent the theoretical evolutionary paths of stars with different masses and ages. By fitting isochrones to the observed data points in a cluster's HR diagram, we can determine the best-fitting age for the cluster.

7. Validating Models: By comparing the observed HR diagrams of star clusters with stellar evolution models and adjusting for factors like metallicity and rotation, astronomers can assess the accuracy and validity of the models. If the models successfully reproduce the observed properties of stars within a cluster, it provides confidence in their ability to describe stellar evolution.

In summary, cluster HR diagrams enable us to compare observations of star clusters with theoretical predictions from stellar evolution models. By analyzing the distribution of stars on the main sequence and the location of the turn-off point, we can validate the models and estimate the age of the clusters based on the best-fitting isochrones.

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Answer:

-1

Step-by-step explanation:

ecuacion de la pendiente está dada por:

Y-yo=m(X-xo)

donde m es la pendiente

del problema :

y-6 = - (x - 3

m=-1

Answer:

Step-by-step explanation:

Answer:

20100

Step-by-step explanation:

There are 200 numbers in this addition problem. To add this, we can do 1 + 200, 2 + 199, 3 + 198 and so on. All of these pairs have a sum of 201 and since there are 200 / 2 = 100 pairs the answer is 201 * 100 = 20100.

Answer: 206

Step-by-step explanation:

Answer:

Step-by-step explanation:

x=4
x=-3/2

hope this helps !! :)

Answer:

53.3%

Step-by-step explanation:

How much money the son gets: $8000 - $1000 = $7000
How much money the daughter gets = $8000
Total amount of money = $8000 + $7000 = $15000

We'll express as a fraction first:
\(\frac{daughter}{total}=\frac{8000}{15000}=\frac{8}{15}\)

To convert to a percentage:

\(\frac{8}{15} * 100 = \frac{800}{15} = \frac{160}{3} =\) 53.3% (1dp)

Hope this helps.

Based on the information provided, a) if X has a binomial distribution, n = 5 and p = 0.256. b) X can take values in the range of 0 to 5. c) The values of P(x) for x = 0, 1, 2, 3, 4 , 5 are 0.228, 0.392, 0.269, 0.093, 0.016, and  0.011 respectively. d) mean = 1.28 and standard deviation = 0.995.

a) If X has a binomial distribution n represents the number of tickets bought which is 5 and p represents the probability of winning a prize after taking a single ticket which is 0.256.

b) X can take values in the range of 0 to 5, which indicates the possible number of won tickets. Hence, x = 0, 1, 2, 3, 4, 5. c)

Using the binomial distribution formula, P (x) = nCx*p^x*(1 – p)^(n-x). Hence,

P(0) = 5C0*(0.256)^0*(1 – 0.256)^)(5-0) = 0.228

P(1) = 5C1*(0.256)^1*(1 – 0.256)^)(5-1) = 0.392

P(2) = 5C2*(0.256)^2*(1 – 0.256)^)(5-2) = 0.269

P(3) = 5C3*(0.256)^3*(1 – 0.256)^)(5-3) = 0.093

P(4) = 5C4*(0.256)^4*(1 – 0.256)^)(5-4) = 0.016

P(5) = 5C5*(0.256)^5*(1 – 0.256)^)(5-5) = 0.011

d) The mean and standard deviation of the distribution is given by:

mean = n*p = 5*0.256 = 1.28

standard deviation = √np(1 – p) = √5(0.256)(1 – 0.256) = 0.995

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