What shape has Sides that are next to each other

Reason: The mode is the most frequent value. The number 12 shows up the most compared to the other values which only show up once.

The mode is:

12

Work/explanation:

The mode is the number that occurs the most in the set.

All the values here occur once, except one.

While all numbers occur once, 12 occurs twice. Because it occurs twice, it's the mode.

Based on the given data, the probability of a room being occupied on any particular weekend night is 0.75. To calculate the probability that at least 4 out of the 7 rooms are occupied on a weekend night, we can use the binomial probability formula. By summing up the probabilities for 4, 5, 6, and 7 occupied rooms, we find that the probability is approximately 0.923.

To calculate the probability, we can use the binomial probability formula, which states that the probability of getting exactly k successes in n independent Bernoulli trials, each with a probability p of success, is given by the formula:

P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

In this case, we want to find the probability of at least 4 out of 7 rooms being occupied on a weekend night. We can calculate this by summing up the probabilities of getting 4, 5, 6, and 7 occupied rooms.

For 4 occupied rooms:
P(X = 4) = (7 choose 4) * 0.75^4 * (1 - 0.75)^(7 - 4) = 0.339

For 5 occupied rooms:
P(X = 5) = (7 choose 5) * 0.75^5 * (1 - 0.75)^(7 - 5) = 0.395

For 6 occupied rooms:
P(X = 6) = (7 choose 6) * 0.75^6 * (1 - 0.75)^(7 - 6) = 0.266

For 7 occupied rooms:
P(X = 7) = (7 choose 7) * 0.75^7 * (1 - 0.75)^(7 - 7) = 0.122

To find the probability of at least 4 occupied rooms, we sum up the probabilities for 4, 5, 6, and 7 occupied rooms:

P(X >= 4) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) = 0.339 + 0.395 + 0.266 + 0.122 = 0.923

Therefore, the probability that at least 4 out of the 7 hotel rooms are occupied on any weekend night is approximately 0.923, or 92.3% when rounded to three decimal places.

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Based on the given data, the probability of a room being occupied on any particular weekend night is 0.75.

To calculate the probability that at least 4 out of the 7 rooms are occupied on a weekend night, we can use the binomial probability formula. By summing up the probabilities for 4, 5, 6, and 7 occupied rooms, we find that the probability is approximately 0.923.

To calculate the probability, we can use the binomial probability formula, which states that the probability of getting exactly k successes in n independent Bernoulli trials, each with a probability p of success, is given by the formula:
P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

In this case, we want to find the probability of at least 4 out of 7 rooms being occupied on a weekend night. We can calculate this by summing up the probabilities of getting 4, 5, 6, and 7 occupied rooms. For 4 occupied rooms:
P(X = 4) = (7 choose 4) * 0.75^4 * (1 - 0.75)^(7 - 4) = 0.339

For 5 occupied rooms:
P(X = 5) = (7 choose 5) * 0.75^5 * (1 - 0.75)^(7 - 5) = 0.395
For 6 occupied rooms:
P(X = 6) = (7 choose 6) * 0.75^6 * (1 - 0.75)^(7 - 6) = 0.266
For 7 occupied rooms:
P(X = 7) = (7 choose 7) * 0.75^7 * (1 - 0.75)^(7 - 7) = 0.122
To find the probability of at least 4 occupied rooms, we sum up the probabilities for 4, 5, 6, and 7 occupied rooms:

P(X >= 4) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) = 0.339 + 0.395 + 0.266 + 0.122 = 0.923. Therefore, the probability that at least 4 out of the 7 hotel rooms are occupied on any weekend night is approximately 0.923, or 92.3% when rounded to three decimal places.

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The easiest way to find the volume of a cylinder is by using the formula V=πr^2h.

This formula is derived from the formula for the area of a circle, A=πr^2, and the formula for the volume of a prism, V=Ah. To calculate the volume of a cylinder, you will need the radius (r) and the height (h) of the cylinder. The radius is the distance from the center of the circle to the sides of the cylinder. The height is the distance from the top to the bottom of the cylinder.

To use the formula, simply plug in the radius and height of the cylinder into the formula. For example, if the radius of a cylinder is 6 cm and the height is 8 cm, the volume can be calculated by multiplying π (3.14) by 6^2 (36) by 8 (288). The volume of the cylinder is then 806.72 cm^3.

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Answer:

Step-by-step explanation:

cost of 6 kg rice = 225

so cost of 1 kg rice = 225 / 6

= 37.5

therefore, cost of 9 kg rice = 37.5 × 9 = 337.5

Hope this helps

plz mark as brainliest!!!!!!!!

Answer:

Step-by-step explanation:

Make denominators common to see the difference in fractions:

Son washed more laundry as 12/28 > 7/28

Together they washed:

Remaining part is:

Step-by-step explanation:

9/28 is your answer......

Answer:

A

Step-by-step explanation:

the function for M is y=5x+1 and its rate of change is 2 off of P

The area of triangle ABC is equal to the area of parallelogram GHJK.  (option c).

To begin with, we need to understand the formula for finding the area of a triangle and a parallelogram. The area of a triangle is given by the formula:

Area of triangle = 1/2 × base × height

where the base and height are perpendicular to each other. The area of a parallelogram is given by the formula:

Area of parallelogram = base × height

where the base and height are perpendicular to each other.

Now, let's look at the problem. We are given four answer choices, and we need to choose the correct one based on our understanding of the area formulas.

Option (c) states that the area of triangle ABC is equal to the area of parallelogram GHJK. This is also possible if the base and height of the triangle are equal to the base and height of the parallelogram, respectively. In this case, the area of the triangle would be half the area of the parallelogram. So, option (c) could also be correct.

Therefore, we need more information to determined that (c) is correct.

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Complete Question:

How does the area of triangle ABC compare to the area of parallelogram GHJK?

a) The area of △ABC is 2 square units greater than the area of parallelogram GHJK.

b) The area of △ABC is 1 square unit greater than the area of parallelogram GHJK.

c) The area of △ABC is equal to the area of parallelogram GHJK.

d) The area of △ABC is 1 square unit less than the area of parallelogram GHJK.

Factor by grouping: 16x³ +28x² - 28x - 49 = 0 is  (4x² - 7) (4x - 7) = 0

Large polynomials can be divided into groups based on a common factor. As a result, we may factor each distinct group and then merge like words. We refer to this as factoring by grouping.

We have the equation,

16x³ +28x² - 28x - 49 = 0

In order to solve the equation by using factor by grouping:

We find common terms in between,

So, we arrange the terms,

16x³ +28x² - 28x - 49 = 0

4x² (4x - 7) -7 (4x - 7) = 0

Here, we have common term (4x-7).

Factor out the common binomial.

(4x² - 7) (4x - 7) = 0

Therefore, (4x² - 7) (4x - 7) = 0 is the factor.

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Answer:

|x – 57| = 3

Step-by-step explanation:

let x be the farthest block to which Jamaal is allowed to walk.

the statement “Jamaal is allowed to walk

no farther than three blocks in either direction from his house.”

means

the distance between the 57th block and the farthest block = 3

means

|x – 57| = 3

Answer:

|x – 57| = 3

Step-by-step explanation:

let x be the farthest block to which Jamaal is allowed to walk.

the statement “Jamaal is allowed to walk

no farther than three blocks in either direction from his house.”

means

the distance between the 57th block and the farthest block = 3

means

|x – 57| = 3

Answer:

25

Step-by-step explanation:

it can carry 25 packs of shingles because

1 ton = 2000 ponds

and 80 can go into 2000 25 times

hope this helps!

the answer is 120 just do 10*12

Answer:

The answer is 60.

Step-by-step explanation:

We are doing a triangle not a square, so divide 10*12 in half. What do you get? 60. That's your answer.

Answer:

  (a)  Martinez, Costello, Lee, Barrett

Step-by-step explanation:

The more under par a score is, the lower (better) it is. Martinez, with 7 under par, has the lowest score. Martinez is listed first in only one answer choice: A.

the is just THIS ONE JIAN JUAN IS B

Check the picture below.

\(\cfrac{x}{10}=\cfrac{24.5}{14}\implies x=\cfrac{(10)(24.5)}{14}\implies x=\cfrac{245}{14}\implies x=17.5\)

The neighboring plants in the square frame will be farther apart than neighboring plants in the rectangular frame.

Volume is defined as the amount of space occupied by an object within the boundaries in the three dimensional space.

Arthur plants 4 basil plants in a square frame like the one shown.

The depth of the soil will be 2x in.

Given that each plant requires \(1300in^{3}\) of soil and total number plants are 4.

Total soil required = 4(1300) =\(5200in^{3}\)

In case of square frame:

Total required volume =\(18x^{3} +48x^{2} +(32-8\pi )x in^3\)

Therefore, \(18x^{3} +48x^{2} +(32-8\pi )x =5200\)

Solving this cubic equation for x , we get,

the value of x=5.8 inches.--------(1)

This denotes the distance between the plants.

In case of rectangular frame:

\(36x^{3} +102x^{2} +(72-18\pi )x =1300*6=7800\)

\(36x^{3} +102x^{2} +(72-18\pi )x =7800\)

Solving this cubic equation for x, we get,

the value of x=5.17 inches --------(2)

x=5.8>5.17

Hence, the neighboring plants in the square frame will be farther apart than neighboring plants in the rectangular frame.

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Answer:

Step-by-step explanation:

Mean "X"=250

s = 25

n=10

Because Standard deviation is unknown and sample size is small, we must employ the T-distribution

df=n-1 = 10-1

df=9

For 90% confidence, t = 1.833

E=t*s/\(\sqrt{n\\\) = 1.833*(25/\(\sqrt{10}\))

E=14.49

The 90% confidence interval is X±E=250±14.49 or 235.51, 264.49

The area under the curve of the function f(x) between the points x = 1 and x = 5 is equal to 6 units.

Given that f is a continuous function and ∫1 5 f(x)dx = 6, we know that the area under the curve of f between 1 and 5 is equal to 6.

We don't have any information about g, so we can't say much about it. However, we can use the fact that f is continuous to make some deductions.

Since f is continuous, we know that it must be integrable on [1, 5]. This means that we can define another function F(x) as the definite integral of f(x) from 1 to x:

F(x) = ∫1 x f(t) dt

We can then apply the fundamental theorem of calculus to F(x) to get:

F'(x) = f(x)

In other words, F(x) is an antiderivative of f(x), so its derivative is f(x).

We can also use the fact that f is continuous to say that it must have an average value on [1, 5]. This average value is given by:

avg(f) = (1/4) ∫1 5 f(x) dx

Using the fact that ∫1 5 f(x)dx = 6, we can simplify this to:

avg(f) = (1/4) * 6 = 1.5

This means that on average, the value of f(x) between 1 and 5 is 1.5.

However, since we don't know anything else about f, we can't say much more than that.


Based on the given information, f and g are continuous functions and the definite integral of f(x) from 1 to 5 is equal to 6. In mathematical notation, it can be expressed as:

∫(from 1 to 5) f(x)dx = 6

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Answer:

x=3

y=1

Step-by-step explanation:

We know that y is basically two less than x, so we can plug that into the second equation:

x+ (x-2) = 4

We can now simplify:

2x-2=4

2x=6

x=3

After finding x we can now find y with any equation (both work):

y= 3-2

y=1

Hope this helped!

Answer:

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(  3 , 1 )

Answer:

Step-by-step explanation:

Answer:

b

a

c

d

Step-by-step explanation:

Solution:

From the given table;

Where, the November values is used as 100 percent;

To find the missing percentages of Elm leaves

For the month of May

To find the missing percentages of Hazel leaves

What is the independent and dependent variable?

An independent variable is a variable that does not depend on any other variable.

For example,

x is an independent variable because for every value of x, there is a different value of y

A dependent variable is a variable whose value depends upon an independent variable.

For example;

From the expression above, the value of y depends on the value of x

Claire experiences apprehension and fear during the anticipatory socialization phase of socialization when her boss proposes putting her on a task force at work, due to her negative group experiences in college.

Anticipatory socialization is the phase in the socialization process where individuals anticipate and prepare for their future roles and experiences in a particular social group or setting.

It involves forming expectations, attitudes, and behaviors based on past experiences and knowledge.

In Claire's case, her negative group experiences in college, where she often ended up doing most of the work and faced poor communication within the group, have shaped her expectations and attitudes towards group work.

As a result, when her boss proposes putting her on a task force at work, Claire immediately feels apprehensive and fearful.

She anticipates that she may face similar challenges, such as an uneven distribution of workload and ineffective communication, which could negatively impact her experience in the task force.

During the anticipatory socialization phase, individuals rely on their past experiences and perceptions to anticipate what they may encounter in a new social setting.

Claire's negative group experiences in college have influenced her apprehension and fear, as she expects the same difficulties to arise in the task force at work.

These emotions and concerns may impact her willingness to fully engage in the new group and could influence her interactions and behavior within the task force.

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Answer:

9

Step-by-step explanation:

1. Just input the x value with -180:

24 (+) -180 / 12 = answer

2. Follow PEMDAS to solve, which in this case division comes before addition:

24 + (-180 / 12)

24 + (-15)

3. Addition

24 + (-15) or 24 - 15

= 9

Therefore, 24 (+) -180 / 12 equals 9.

Let's use the variables T and R to represent the total cost and the number of rides, respectively, for the two amusement parks:

To find the solution where the cost per ride of the two parks is the same, we need to set the two total cost equations equal to each other and solve for R:

40 + 5R = 60 + 3R

Subtracting 3R from both sides, we get:

40 + 2R = 60

Subtracting 40 from both sides, we get:

2R = 20

Dividing both sides by 2, we get:

R = 10

Therefore, the two amusement parks have the same cost per ride when a customer rides for 10 times. We can check this by substituting R = 10 into either of the total cost equations and verifying that the total cost is the same for both parks.

The 95% confidence interval for the percentage of cell phone users who develop cancer of the brain or nervous system is estimated to be 0.0237% to 0.0391%. This interval is calculated based on the sample data collected, where 131 cases of cancer were found among 420,082 cell phone users.

To construct the confidence interval, the sample proportion is calculated as 0.0003126, representing the proportion of cell phone users who developed cancer. The standard error, which measures the uncertainty in the estimate, is computed as 0.0001291.

Using the formula for constructing confidence intervals, the margin of error is determined by multiplying the standard error by the appropriate critical value. For a 95% confidence level, the critical value is approximately 1.96. The resulting margin of error is found to be 0.000253.

By subtracting and adding the margin of error from the sample proportion, we obtain the lower and upper bounds of the confidence interval, respectively. Therefore, the 95% confidence interval for the percentage of cell phone users who develop cancer of the brain or nervous system is estimated to be between 0.0237% and 0.0391%. This interval provides a range of plausible values for the true percentage in the population.

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Answer and work in the picture above

Yes, if k is a subgroup of h and h is a subgroup of g, then k must be a subgroup of g. The reason for this is rooted in the definition of subgroups and the transitive property of containment.

To prove that k is a subgroup of g, we need to establish two key properties: closure under the group operation and the existence of inverses. Since k is a subgroup of h, it inherits the closure property from h. This means that for any elements a, b in k, their product ab must also be in k. Similarly, since h is a subgroup of g, it satisfies the closure property with respect to the group operation in g. Thus, any element in h, including those in k, multiplied with another element in h, will remain in h. Therefore, k satisfies closure under the group operation in g. Regarding the existence of inverses, if an element a is in k, then its inverse, denoted by a^(-1), must also be in k. Since h is a subgroup of g, every element in h has an inverse in h. Therefore, if an element a is in k, it is also in h, and its inverse is in h as well. Hence, k satisfies the requirement of having inverses within g. By demonstrating that k satisfies both closure under the group operation and the existence of inverses, we have established that k is a subgroup of g. Thus, if k is a subgroup of h and h is a subgroup of g, k must also be a subgroup of g, fulfilling the transitive property of containment.

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