Which situation represents a permutation?
a. awarding first and second prize
b. selecting six marbles from a jar
c. selecting two candidates from a group of 16
d. putting three coins in a purse

Answer:

It depends how much they get paid which is 20 dollors

Step-by-step explanation:

SO THE ANSWER IS 20

Therefore, the area of the regular dodecagon with a side length of 8 units is approximately 1,843.21 square units.

In mathematics, area refers to the measure of the amount of space inside a two-dimensional shape or region. It is a measure of the size of a flat surface, and is typically expressed in square units, such as square meters (m²), square centimeters (cm²), or square feet (ft²). The area of a shape can be calculated using various formulas, depending on the type of shape. The concept of area is used in many areas of science and engineering, including physics, geometry, and architecture. It is particularly important in fields such as construction and landscaping, where the amount of material needed to cover a given area is often a key factor in planning and budgeting.

Here,

To find the area of a regular dodecagon, you can use the formula:

Area = (3 * √3 / 2) * s² * n

where s is the length of each side and n is the number of sides.

Substituting s = 8 and n = 12, we get:

Area = (3 * √3 / 2) * 8² * 12

Area = 3 * √3 * 64 * 12

Area = 1,843.21 square units (rounded to two decimal places)

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Answer:

Desmos

Step-by-step explanation:

You can always use the Desmos Graphing Calculator to help you graph!

Answer: -4 and -10

Step-by-step explanation:

-4 and -10

-4x-10=40

-4+-10=-14

In this task, the user is asked to input ten numbers between 1 and 1000. These numbers will be stored in an array.

To complete this task, we prompt the user to provide a number between 1 and 1000. This process is repeated ten times to collect ten numbers. We store these numbers in an array, which is a data structure that allows us to hold multiple values in a single variable. By using an array, we can easily access and manipulate these numbers for further analysis or calculations.

Storing the numbers in an array provides us with a convenient way to organize and manage the data. We can iterate over the array to perform operations on each number individually or perform aggregate calculations on the entire set of numbers. This approach enables us to process the user's input efficiently and effectively.

By gathering the user's numbers and storing them in an array, we create a structured dataset that can be utilized for various purposes. Whether it's calculating statistics, sorting the numbers, or performing mathematical operations, having the numbers stored in an array allows us to work with the data more flexibly and programmatically.

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Answer:

200

Step-by-step explanation:

5 x 10 = 50 x 4 equals 200

Answer:

100000

Hope this helps

Answer:

{ - 2, 10 }

Step-by-step explanation:

Given

x² - 8x = 20

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 4)x + 16 = 20 + 16, that is

(x - 4)² = 36 ( take the square root of both sides )

x - 4 = ± \(\sqrt{36}\) = ± 6 ( add 4 to both sides )

x = 4 ± 6

Thus

x = 4 - 6 = - 2

x = 4 + 6 = 10

Answer:

d is it

Step-by-step explanation:

Answer:  \(\frac{28}{27}\) or \(1\frac{1}{27}\)

Step-by-step explanation:

\(\frac{7}{9} /\frac{6}{8} = \frac{7}{9}(\frac{8}{6})\)

\(\frac{7}{9} (\frac{8}{6} ) = \frac{28}{27}\)

\(\frac{28}{27} = 1 \frac{1}{27}\)

Answer: E. $744

Step-by-step explanation:

Think of all 5 days and the previous day doubled

So

24

48

96

192

384

All together is $744.

The height of the billboard is 70 feet.

Given that,

\(Area = width \times height\\\\4060 = 58 \times height\\So, height = 4060 \div 58\)

= 70 feet

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Answer:

79.77%

Step-by-step explanation:

P(X≥120) = normalcdf(120,1e99,130,12) = 0.7976716754 ≈ 0.7977 = 79.77%

Therefore, about 79.77% of operations last at least 120 minutes

Given the following equation:

In the standard slope-intercept form, y = mx + b, m represents the slope of the equation.

If the slope is positive, it is increasing.

If the slope is negative, it is decreasing.

From the given equation, V = 23.4 + 2.8x, it appears that 2.8 is the slope in this equation. Since it is a positive number, it is increasing.

Therefore, we can say that:

The value of this investment is increasing at a rate of 2.8 thousand dollars per month.

mass (m) = 5.4g

Volume (V) = 2 cm^3

To find the density (p), we have to apply the next formula:

p= m/v

Replacing:

p´= 5.4/2 = 2.7 g/cm^3

Answer:6

Step-by-step explanation:

Answer:

The original price of the shoes = (100/80) x Sale Price

= (100/80) x $80

= $100

Answer:

Unit Rate: 54 miles per hour

Step-by-step explanation:

432/8=54

Answer:

H V

1 50.24

2 100.48

3 150.72

4 200.96

5 251.2

6 301.44

Plot that on the graph with H on the x axis of it created a straightish line its linear if not it’s non linear

Answer:

Step-by-step explanation:

i don't think so

The first five terms of the geometric sequence with a first term of 2 and a common ratio of 3 are 2, 6, 18, 54, 162.

A geometric sequence is a sequence of numbers in which each term is found by multiplying the previous term by a constant called the common ratio (r).

The general form of a geometric sequence is:

a, ar, ar^2, ar^3, ar^4, ...

Where:

- a is the first term,

- r is the common ratio.

To find the first five terms of a geometric sequence, you need the values of the first term (a) and the common ratio (r).

For example, let's assume the first term (a) is 2 and the common ratio (r) is 3.

The first five terms of this geometric sequence would be:

2, 2 * 3, 2 * 3^2, 2 * 3^3, 2 * 3^4

Calculating these terms, we get:

2, 6, 18, 54, 162

So, the first five terms of the geometric sequence with a first term of 2 and a common ratio of 3 are 2, 6, 18, 54, 162.

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Answer:

z = 3 units

Step-by-step explanation:

45 ÷ 15 = 3

Step-by-step explanation:

A is wl

45 = 15 x z

45 = 15z

3 = z

Answer:

Yes, positive 3 is larger than negative 4

(a) Using the given partition function Z for a two-dimensional monatomic gas, the heat capacity Cy and entropy S of the system can be derived. (b) By defining a property of the system as e-s = U + PV, where e is the internal energy, s is the entropy, U is the energy, P is the pressure, and V is the volume, it can be shown that the volume of the system can be written as V = -T.

(a) To derive the heat capacity Cy, the derivative of the partition function Z with respect to temperature T is calculated. This gives the expression for Cy. Similarly, the entropy S is obtained by taking the logarithm of Z and using certain mathematical manipulations. (b) By rearranging the equation e-s = U + PV, we can express V in terms of the other variables. Taking the derivative of this equation with respect to temperature T and using the relationship between entropy and temperature, the expression V = -T can be derived.

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To determine if a data point is considered an outlier for a data set, we need to calculate the interquartile range (IQR) and use it to define the outlier boundaries. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). The correct option is (B).

We have that Q1 = 9 and Q3 = 17, we can calculate the IQR as follows:

IQR = Q3 - Q1 = 17 - 9 = 8

To identify outliers, we can use the following rule:

- Any data point that is less than Q1 - 1.5 * IQR or greater than Q3 + 1.5 * IQR is considered an outlier.

Using this rule, we can evaluate each data point:

A. 27: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

B. 17: This data point is not an outlier because it is equal to the third quartile (Q3).

C. 3: This data point is less than Q1 - 1.5 * IQR = 9 - 1.5 * 8 = -3. It is considered an outlier.

D. 41: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

Therefore, the outliers in the data set are A (27) and D (41).

As for when to use the mean, it is generally recommended to use the mean as a measure of central tendency when the data is symmetric and does not have extreme values.

Therefore, the correct option would be B. When the data is symmetric.

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Among the provided statements, only the statement "Abnormalities in the reflexes can indicate brain damage" is true of newborn reflexes:

Newborn reflexes are automatic, involuntary movements or actions that are exhibited by infants in response to certain stimuli. These reflexes are typically present from birth and serve as important indicators of neurological development and overall health.

Abnormalities or deviations from the expected patterns of newborn reflexes can suggest underlying neurological issues or brain damage.

For example, the absence, asymmetry, or persistence of certain reflexes beyond the expected timeframe can be signs of potential neurological problems that require further evaluation and medical attention.

However, the other statements provided in the options are not accurate:

- Reflexes do not appear until the third week of life: This statement is false. Newborn reflexes are present from birth or shortly after birth, and they can be observed in the early days of a baby's life.

- Newborns have control over their reflexes: This statement is false. Newborn reflexes are instinctual and involuntary responses that occur without conscious control from the infant. As the baby grows and develops, they gain more control over their movements and their reflexes become integrated into voluntary actions.

- These reflexes become involuntary over time: This statement is false. Newborn reflexes are already involuntary from the start. They are not intentionally controlled by the baby and are automatic responses triggered by specific stimuli.

It's important to note that the presence or absence of specific newborn reflexes and their developmental patterns can vary among individuals, but deviations from the norm may indicate potential health concerns and should be addressed by medical professionals.

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By using combination, it can be obtained that

Number of simple random samples of size 3 that can be selected from a population of size 7 = 35

What is combination?

Combination determines the number of arrangements that can be made from a collection of objects when the order of arrangement is not taken into account.

Here, concept of combination is used

Number of simple random samples of size 3 that can be selected from a population of size 7 = \({7 \choose 3}\) = 35

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