What is 147 divied by 174?

Given:-

• Perimeter of parallelogram = 66 ft

• One side,a = 3x + 1

• Other side,b = 2x - 3

Tofindout:-

Find the longest side of a parallelogram.

Formulaused:-

Perimeter of parallelogram = 2 ( a + b )

Solution:-

We know that,

Perimeter of parallelogram = 2 ( a + b )

★ Substituting the values in the above formula,we get:

⇒ 66 = 2 ( 3x + 1 + 2x - 3 )

⇒ 66 = 2 ( 5x - 2 )

⇒ 66/2 = 5x - 2

⇒ 33 = 5x - 2

⇒ 5x - 2 = 33

⇒ 5x = 33 + 2

⇒ 5x = 35

⇒ x = 35/5

⇒ x = 7 ft

Now,

One side,a = 3x + 1

★ Putting the value of x

⇒ 3 × 7 + 1

⇒ 21 + 1

⇒ 22 ft

Other side,b = 2x - 3

★ Putting the value of x

⇒ 2 × 7 - 3

⇒ 14 - 3

⇒ 11 ft

Hence,thelongestSideofgivenparallelogramis22ft(3x+1).

Answer:

We get the same answer from both processes.In the end, it is a multiplication process. In partial product we take the values of ones, tens, hundreds in each step and then add them together. In regrouping same thing happens but we do not break them down to processes.

Step-by-step explanation:

In Partial products we multiply the numbers partially and add them together to get the answer. It is easier to explain with an example, lets say we multiply 47 by 3

1) 47

  ×3

--------

  21

2) 47

   ×3

---------

   21

 120 (

3) 3 8

    ×3

----------

  +21

  120

-----------

   141

In Regrouping we add the partial products to the next tens,hundreds and so on. We don not write them down and then add later. Lets take the same example and do the multiplication with Regrouping method.

1)2 --------> ( write the number in tenth place here)

 47

 ×3

 ___

 __1  --------> ( write the number in ones place here)

2)47

  ×3

 ___

 141   ( then add the 2 above to get 14)

We get the same answer from both processes.In the end, it is a multiplication process. In partial product we take the values of ones, tens, hundreds in each step and then add them together. In regrouping same thing happens but we do not break them down to processes.

Answer:

Step-by-step explanation:

To determine the exact value of the covariance expression Cov(2m, em), we need more information about the variables involved. The covariance between two random variables, X and Y, is calculated as the expected value of the product of the differences between each variable and their respective means. Without the means or additional information, we cannot calculate the exact value of the covariance.

For the simulation method, we can generate random samples for 2m and em, calculate their covariance, and repeat the process multiple times to estimate an approximate value for Cov(2m, em). The simulated value will depend on the specific values generated for 2m and em in each iteration.

b) To compute the exact value of the integral η = ∫1^5 y^2 e^y dy, we can use integration techniques such as integration by parts or substitution. However, without further information or specific instructions, it is not possible to determine the exact value of this integral.

To estimate the integral using the Monte Carlo (MC) integration method, we can generate random points within the interval [1, 5] and evaluate the function y^2 e^y at those points. The estimate is then obtained by taking the average of these function values and multiplying it by the interval length (5 - 1). Using a sample size of n = 1000 means generating 1000 random points.

To calculate the approximate percentage error (ϵ) between the exact value and the MC value, you would need to know the exact value of the integral, which is not provided in the question.

c) The given code represents a pseudorandom number generation (PNG) method. It generates pseudorandom numbers using a linear congruential generator (LCG) algorithm. The LCG algorithm is a simple and widely used method for generating pseudorandom numbers based on a linear recurrence relation.

The LCG algorithm is defined by the recurrence relation:

X(n+1) = (a * X(n) + c) mod m

In the code, the values a = 11, c = 56, x0 = 13, and m = 15 are used as parameters for the LCG algorithm. It generates 30 pseudorandom numbers by iterating the recurrence relation.

To test the hypothesis that the generated numbers are uniformly distributed, you can perform a statistical test, such as the chi-square test or the Kolmogorov-Smirnov test. These tests compare the distribution of the generated numbers to a uniform distribution.

Answer:

1/6 of the vegetables space will be used for the tomatoes

Answer:

1/12 of the Garden

Step-by-step explanation:

When adding fractions, the denominators need to be the exact same number. Therefore, you need to find the LCM. The LCM of 3 and 4 is 12, so all the denominators will be 12.

2/3 * 4/4 = 8/12

1/4 * 3/3 = 3/12

8/12 + 3/12 = 11/12

Now you need to subtract it from 1 (the garden).

12/12 - 11/12 = 1/12

Answer:

19/15

Step-by-step explanation:

The "Economic-Indicator" which measures inflation is the : (b) Consumer Price Index (CPI).

The CPI tracks the average price changes of a basket of goods and services over time, reflecting the cost of living for consumers. It measures the inflation rate by comparing the price changes of this basket of goods and services from one period to another.

By tracking CPI, economists and policymakers can assess general level of price inflation in an economy. GDP (Gross Domestic Product) is a measure of the total value of goods and services produced in an economy, while unemployment rate reflects percentage of labor force that is unemployed and actively seeking employment, which is not directly related to measuring inflation.

Therefore, the correct option is (b).

Learn more about Inflation here

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