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The perimeter of ΔMNP is 130 units.

Way to calculate the perimeter of a triangle:

Here, we know that:

The perimeter of ΔMNP is equal to:

P = MN + NP + MP

First, we find MP:

MP = 2 (QR), Q is the midpoint of segment MN, and R is the midpoint of segment NP.

Now, we find NP:

NP = 2 (QS), Q is the midpoint of segment MN, and S is the midpoint of segment MP.

Now, we find MN:

MN = 2 (RS), R is the midpoint of segment NP and S is the midpoint of segment MP.

So,

Now, we find the perimeter as follows:

Hence, the perimeter of ΔMNP is 130 units.

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The prime factorization of 9999 is 3 x 11 x 101, and it is significant in understanding divisors, prime factor applications, and cryptography.

The prime factorization of the number 9999 is 3 x 11 x 101. This means that 9999 can be expressed as the product of these prime numbers. In mathematics, prime factorization is the process of breaking down a composite number into its prime factors.

The significance of prime factorization lies in its fundamental role in number theory and various mathematical applications. Prime factorization helps in understanding the divisors and factors of a number. It provides insight into the unique combination of prime numbers that compose a given number.

In the case of 9999, its prime factorization can be used to determine its divisors. Any divisor of 9999 will be a product of the prime factors 3, 11, and 101. Furthermore, prime factorization is utilized in various mathematical algorithms and cryptographic systems, such as the RSA encryption algorithm, which relies on the difficulty of factoring large composite numbers into their prime factors.

In summary, the prime factorization of 9999 provides a way to express the number as a product of prime numbers and holds significance in understanding divisors, prime factor applications, and cryptography.

complete question should be  What is the prime factorization of the number 9999, and what is its significance in mathematics or number theory?  

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Answer:

Area = 153.8 cm/ m

Step-by-step explanation:

Area of circle = 22 ÷ 7 × r²

= 22 ÷ 7 × (7²)

= 22 ÷ 7 × 49

= 3.14 × 49

= 153.8 cm/ m

It is given that P = principal, R = rate of interest and T = time

Formula to find compound interest is:

A = P(1 + R/100)^T

where A = amount received after n years

P = principal amount invested

R = rate of interest

T = time for which the amount is invested

The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest.

It is thought that Italy in the 17th century is where the concept of "interest on interest" or compound interest first appeared. It will accelerate the growth of a total more quickly than simple interest, which is solely calculated on the principal sum.

Money multiplies more quickly thanks to compounding, and the more compounding periods there are, the higher the compound interest will be.

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The amount of wrapping paper that is needed to cover the larger box is equal to 1,323 cm².

In Mathematics and Geometry, a direct proportion simply refers to a mathematical equation which is typically used to represent the equality of two (2) ratios.

By applying direct proportion to the given information, we have the following mathematical equation:

smaller box = larger box

14 cm = 1029 cm²

18 cm = x cm²

By cross-multiplying, we have the following:

14x = 1029 × 18

14x = 18,522

x = 18,522/14

x = 1,323 cm².

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Answer:

d

Step-by-step explanation:

Answer:

7 26/15

Step-by-step explanation:

all you have to do is add 15 to the 11.

Answer:

20 mins

Step-by-step explanation:

2003 17 2005 20

Answer:

7/5

Step-by-step explanation:

Answer:

1\(\frac{2}{5}\) of an acre or 1.4 acres.

Step-by-step explanation:

The least common multiple of 10 and 2 is 10.

Convert \(\frac{9}{10}\) and \(\frac{1}{2}\) to fractions with a denominator of 10.

\(\frac{9}{10}\)+\(\frac{5}{10}\)

Since these fractions now have the same denominator, add them by adding the numerators.

\(\frac{9+5}{10}\)

Add 9 and 5 to get 14.

\(\frac{14}{10}\)

Reduce the fraction to the lowest terms by extracting and canceling out 2.

\(\frac{7}{5}\)= \(1\frac{2}{5}\) =1.4

hope this helps!

There is a 9.16% probability that exactly seven claims will be filed in the next week.

There is a 0.0123% probability that no claims will be filed in the next week.

There is a 5.73% probability that less than four claims will be filed in the next week.

In this scenario, the insurance company has determined that the average number of claims filed in their Atlanta branch each week is nine. To calculate the probability of specific outcomes for the next week, we can use the Poisson distribution formula, which is commonly used to model the probability of rare events occurring over time.

The formula is:

P(x) = \((e^-\lambda \times \lambda ^x)\) / x!

Where:

P(x) = the probability of x events occurring

e = the mathematical constant approximately equal to 2.71828

λ = the average number of events that occur in a given time period (in this case, nine claims per week)

x = the number of events we are interested in

Using this formula, we can calculate the probability of the following outcomes for the next week:

Exactly seven claims will be filed:

P(7) = \((e^{-9} \times 9^7)\) / 7! = 0.0916 or approximately 9.16%

No claims will be filed:

P(0) = \((e^{-9} \times 9^0)\) / 0! = 0.000123 or approximately 0.0123%

Less than four claims will be filed:

P(0) + P(1) + P(2) + P(3) = \((e^{-9} \times 9^0) / 0! + (e^{-9} \times 9^1) / 1! + (e^{-9} \times 9^2) / 2! + (e^{-9} \times 9^3) / 3!\) = 0.0573 or approximately 5.73%

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The probability of rolling a 9 or higher on the 3rd roll is 4/27, or approximately 14.8%.

Probability is a branch of mathematics that deals with determining the likelihood or chance of an event occurring. It is often expressed as a fraction or a percentage.

Conditional probability is the probability of an event happening given that another event has already happened.

The probability of not rolling a 9 or higher on the first roll is 8/12 or 2/3, as there are 8 numbers on the cube that are less than 9.

The same is true for the second roll, so the probability of not rolling a 9 or higher on the first two rolls is (2/3) * (2/3) = 4/9.

The probability of rolling a 9 or higher on the third roll is 4/12 or 1/3, as there are 4 numbers on the cube that are 9 or higher.

So, the probability of rolling a 9 or higher on the third roll given that the previous two rolls did not result in a 9 or higher is

=> (4/9) * (1/3) = 4/27

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Answer: v=42

Step-by-step explanation:

18+(6)(4)

The set of integers is closed under the operation of addition because the sum of any two integers is always another integer and is therefore in the set of integers.

What are integers ?

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of numbers that are not integers are: -1.43, 1 3/4, 3.14, .

According to the Property of Closure, A set has the closure property under a particular operation if the result of the operation is always an element in the set.  If a set has the closure property under a particular operation, then we say that the set is “closed under the operation.”

Hence ,  the set of integers is closed under the operation of addition because the sum of any two integers is always another integer and is therefore in the set of integers.

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The equation that shows a proportional relationship is y = 7x.

Two variables have a proportional relationship if all the ratios of the variables are equivalent.

In other words, a proportional relationship is one in which two quantities vary directly with each other.

Therefore, a proportional relationship can be represented as y = kx.

where

Therefore, y varies directly as x in a proportional relationship.

Hence, the equation that shows proportional relationship is y = 7x as 7 is the constant of proportionality. y and x are the variables.

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Answer:

y = 7x

Step-by-step explanation:

the proportional relationship is y = 7x as 7 is the constant of proportionality. y and x are the variables.

The mean of the scores to the nearest 10th digit will be 74.9.

The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean.

Then the mean is given as,

Mean = (Total score) / (total student)

The total score will be

Total score = 65 x 8 + 70 x 7 + 75 x 3 + 80 x 8 + 85 x 3 + 90 x 2 + 95 x 2

Total score = 520 + 490 + 225 + 640 + 225 + 180 + 190

Total score = 2470

The total number of students will be

Total student = 8 + 7 + 3 + 8 + 3 + 2 + 2

Total student = 33

Then the mean will be

Mean = 2470 / 33

Mean = 74.85 ≈ 74.9

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The total distance the mouse scurries is 10 meters

To determine the value, we need to note that the Pythagorean theorem states that the square of the longest side of a triangle called the hypotenuse is equal to the sum of the squares of the other two sides.

This is represented as;

x² = y² + z²

Such that the parameters are;

From the information given, we have that;

x² = 2.2² + 3.6²

find the squares

x² = 4. 84 + 12. 96

add the values

x² = 17. 8

x= 4. 22 meters

The total distance = 2.2 + 3.6 + 4.2

Add the values

= 10 meters

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Answer:

4/9

Step-by-step explanation:

The lower and upper values of the confidence interval of the population mean for the minutes spent getting to work is (31.74,38.4)

What is Standard Deviation?

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean. By calculating the departure of each data point from the mean, the standard deviation may be determined as the square root of variance. The bigger the deviation within the data collection, the more the data points deviate from the mean; Hence, the higher the standard deviation, the more dispersed the data.

We know that:

\(\text { Standard Deviation }=\sqrt{\frac{\sum\left(x_i-\bar{x}\right)^2}{n-1}}\)

where \(x_{i}\)  is the mean and n is the number of observations.

\(\text { Standard Deviation }=\sqrt{\frac{\sum\left(x_i-\bar{x}\right)^2}{n-1}}\)

98% Confidence interval:  

\(\bar{x} \pm t_{\text {critical }} \frac{s}{\sqrt{n}}\)

Putting the values, we get,  

\(t_{\text {critical }} \alpha_{0.02}\\=\pm 2.14535.07 \pm 2.145\left(\frac{6.02}{\sqrt{15}}\right)\\=35.07 \pm 3.33\\=(31.74,38.4)\)

Hence, The lower and upper values of the confidence interval of the population mean for the minutes spent getting to work is (31.74,38.4)

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Answer:

hold up

Step-by-step explanation:

عد اس مراس whats this mean??

The average distribution or expected value after one round of the game is $0.75 or 75 cents.

To find the average distribution or expected value, we multiply each possible outcome by its corresponding probability and sum them up.

Given the probability distribution:

x: $0 $1 $2 $4

P(x): 1/2 1/4 1/8 1/8

We calculate the expected value (E) as follows:

\(E = (0\times 1/2) + (1 \times 1/4) + (2 \times 1/8) + (4 \times 1/8)\)

E = 0 + 1/4 + 1/4 + 1/2

E = 1/4 + 1/2

E = 3/4

Therefore, the average distribution or expected value after one round of the game is $0.75 or 75 cents.

This means that if you were to play the game multiple times, on average, you would expect to win $0.75 per round.

It's important to note that the expected value represents the long-term average and may not necessarily reflect the outcome of a single round. In this case, the expected value of $0.75 suggests that over many rounds, with the given probability distribution, we would expect to win an average of 75 cents per round.

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Applying the power of power rule, the completed equation is given as follows:

\(x^{10} = (x^5)^2\)

The power of a power rule is used when a single base is elevated to multiple exponents, and states that simplified expression is obtained keeping the base, while the exponents are multiplied.

Hence the missing exponent for this problem is obtained as follows:

2x = 10

x = 10/2

x = 5.

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To find the expected number of each animal type treated by the veterinarian, we will multiply the percentage distribution by the total number of animals treated in a month.

Total animals = 230

Dogs: 61% * 230 = 0.61 * 230 = 140.3 (approximately 140)
Cats: 22% * 230 = 0.22 * 230 = 50.6 (approximately 51)
Livestock: 8% * 230 = 0.08 * 230 = 18.4 (approximately 18)
Birds: 6% * 230 = 0.06 * 230 = 13.8 (approximately 14)
Other: 3% * 230 = 0.03 * 230 = 6.9 (approximately 7)

So, the expected number of each animal type treated is:
Dogs: 140
Cats: 51
Livestock: 18
Birds: 14
Other: 7

The correct answer is C) Animal type Dogs Cats Livestock Birds Other Expected 140 51 18 14 7

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Answer:

47.7 grams.

Step-by-step explanation:

Answer:

\( - ( - 6.8k + 8) \\ = + 6.8k - 8 \\ thank \: you\)

Answer:

a. The number of people that receive the text in the fourth round are 10³ people

b. The total number of people that receive the text are 1.1111 × 10⁴ people

Step-by-step explanation:

a. The given information are;

The number of people the text is sent to in the first round = 1

In the second round, the number of people the text is sent to by people in the first round = 10

In the third round, the number people the text is sent to by the 10 people in the second round = 10 × 10 = 100 people = 10² people

In the fourth round, the number of people the text is sent to by the people in the third round = 100 × 10 = 1000 people = 10³ people

The number of people that receive the text in the fourth round = 10³ people

b. In the fifth round, the number of people, the people in the fourth round send the text to = 1000 × 10 = 10000 people = 10⁴ people

The total number of people that receive the text = 1 + 10 + 10² + 10³ + 10⁴ people =  11111 people = 1.1111 × 10⁴ people

The system of equations that represent this situation is x + y = 52 and x + 2.25y = 72

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.

Let x represent the number of pounds of bananas sold and y represent the grapes sold, hence:

x + y = 52   (1)

Also:

x + 2.25y = 72    (2)

The system of equations that represent this situation is x + y = 52 and x + 2.25y = 72

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Step-by-step explanation:

_______________________

x 0 1 6 4.5 10.5

_______________________

y 0 2 12 9 21

_______________________

Answer:

_______________________

x 0 1 6 4.5 10.5

_______________________

y 0 2 12 9 21

_______________________

Step-by-step explanation:

Answer:

D. 3 and 6

A linear model would be best for Scatterplots 3 and 6.

Answer:

2.6021 all the way to 2.609