24. $5.24 + 23¢ + 2¢ (53)​

Answer:

79m

Step-by-step explanation:

P=276

L= P/2 - W

L= 276/2 - 59 m

L = 79m

Answer:

1.6

So one whole orange and a sixth of another orange

Step-by-step explanation:

1. d. 5

2. b.3

3. a. 6

4. c. 4

The equation for the calculation of the score will be 6-x , where x is the number of birdies (negetive score).

Lets suppose the number of birdies that have been scored is "x" . And since birdie is a negetive score, everytime we score a birdie, we need to reduce 1 from the standing score i.e. to say the total number of birdies is needed to be subustracted from the current score.

Score = Initial Score - Number of birdies

Since the initial score here, as per mentioned is 6 over par , so we need to substract the number of birdies from 6 in order to get actual score.

Therefore, in accordance with the current situation, the equation to calculate the score will be 6-x.

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The problem of unit root in standard regression and time-series models arises when a variable exhibits a non-stationary behavior, meaning it has a trend or follows a random walk. Unit root tests, such as the Dickey-Fuller and augmented Dickey-Fuller tests, are used to detect the presence of a unit root in a time series. These tests examine whether the coefficient on the lagged value of the variable is significantly different from one, indicating the presence of a unit root.

In standard regression analysis, it is typically assumed that the variables are stationary, meaning they have a constant mean and variance over time. However, many economic and financial variables exhibit non-stationary behavior, where their values are not centered around a fixed mean but instead follow a trend or random walk. This presents a problem because standard regression techniques may produce unreliable results when applied to non-stationary variables.

Time-series models, such as autoregressive integrated moving average (ARIMA) models, are specifically designed to handle non-stationary data. They incorporate differencing techniques to transform the data into a stationary form, allowing for reliable estimation and inference. Differencing involves computing the difference between consecutive observations to remove the trend or random walk component.

The Dickey-Fuller test and augmented Dickey-Fuller test are commonly used to detect the presence of a unit root in a time series. These tests examine the coefficient on the lagged value of the variable in a regression framework. The null hypothesis of the tests is that the variable has a unit root, indicating non-stationarity, while the alternative hypothesis is that the variable is stationary.

The Dickey-Fuller test is a simple version of the test that includes only a single lagged difference of the variable in the regression. The augmented Dickey-Fuller test extends this by including multiple lagged differences to account for potential serial correlation in the data. Both tests provide critical values that can be compared to the test statistic to determine whether the null hypothesis of a unit root can be rejected.

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Hey ! there

Answer:

Step-by-step explanation:

In this question we are given with three sides of a triangle that are as follows ,

And we are asked to :

We know that for finding perimeter of any shape we must have to add all the sides of the shape or ,

\( \qquad \: \underline{\boxed{\frak{Perimeter = Sum \: of \: all \: sides}}}\)

Solution : -

( a )

Now adding all the three sides of triangle to find the perimeter .

\( \hookrightarrow \quad \: ( x + 5 ) + ( 2 x + 4 ) + ( 2x - 3 ) \)

\( \hookrightarrow \quad \: \: x + 5 + 2x + 4 + 2x - 3\)

Combining like terms :

\( \hookrightarrow \quad \:x + 2x + 2x + 5 + 4 - 3\)

Now , solving :

\( \hookrightarrow \quad \: \red{\underline{ \boxed{ \frak{(5x + 6) \: cm}}}}\)

( b )

Now , we are finding perimeter of triangle when value of x is 10 . So substituting value of x in given sides of triangle ,

First Side :

Second Side :

Third Side :

So , all the sides are 15 cm , 24 cm and 17 cm .

Now , adding all these to find perimeter .

\( \hookrightarrow \qquad \: 15 + 24 + 17\)

\(\hookrightarrow \qquad \: 39 + 17\)

\(\hookrightarrow \qquad \: \red{\underline{\boxed{\frak{56 \: cm}}}}\)

Alternative Solution : -

As above we have find the perimeter of triangle in term of x that is ( 5x + 6 ) cm. So we can put value of x as 10 in this to get perimeter. So ,

Therefore, perimeter of triangle is 56 cm .

To find the perimeter of a shape, we should add all sides , like so :

x+5+2x+4+2x-3

Combine the x's :

x+2x+2x+5+4-3

x+4x+9-3

5x+6

5x+6 cm

º º º º º º º º º º º º º º º º º º º º º º º º º º º º º º º º º º º º º º º º º º º º º

b.

Find the perimeter of the triangle if x = 10

Just write 10 instead of x :

5(10)+6

5(10) simplifies to 50 ↓

50+6

56

hope helpful ~

The value of 223,692 divided by 42 using the standard algorithm and showing work is 5326.

The value of 223,692 divided by 42 using the standard algorithm and showing work is given below:

Dividing the two values by 2, a common factor

223,692 / 42 = 111,846 / 21

Dividing the two values by 3, a common factor

111,846 / 21 = 37282 / 7

Dividing the two values by 7, a common factor

37282 / 7 = 5326 / 1

Hence, the value of the division is 5326.

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False.

The statement is incorrect because neither the z nor the t distribution is necessarily skewed symmetric. While they are both bell-shaped and have asymptotic tails, the shape of the distribution depends on the degrees of freedom for the t distribution and the mean and standard deviation for the z distribution.

The z and t distributions share several properties, which include:

1. Skewed: Both distributions are not skewed, as they are symmetric around 0.
2. Symmetric around 0: Both the z (standard normal) and t distributions are symmetric around 0, which means that they have equal probability on both sides of 0.
3. Asymptotic tails: Both distributions have asymptotic tails, which means that the tails of the distributions approach but never touch the horizontal axis.
4. Bell-shaped: Both the z and t distributions are bell-shaped, with a peak at the center (0) and tails extending to the left and right.

So, the correct properties for both z and t distributions are: symmetric around 0, asymptotic tails, and bell-shaped.

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Therefore the solution of the given problem is  product of the equation is 3\(x^{3}\) + 12x.

The equals sign (=) must appear in an equation. You can think of an equation as having a left and a right side since there will be a mathematical expression on either side of it. Consider an equation to be a set of scales. Although you can use different amounts on either side, for it to be solved, each side must be equally balanced .An unknown will always be present in an algebraic equation. This is symbolized by a symbol, such x, y, or z.

Here,

We must calculate the product of 3x(\(x^{2}\) + 4).

In light of the query

Follow all of the instructions listed below to obtain the equation's product.

Equation; 3x(\(x^{2}\) + 4).

Then,

The product of the equation is,

=>3x(\(x^{2}\) + 4).

=>3\(x^{3}\) + 12x

Therefore the solution of the given problem is  product of the equation is 3\(x^{3}\) + 12x.

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A group contains n men and n women. 2n! number of ways are there to arrange these people in a row if the men and women alternate. Arrangement is known as permutation.

A permutation of a set in mathematics is, broadly speaking, the rearrangement of its elements if the set already has an ordered structure into a sequence or linear order. The act or procedure of altering the linear order of an ordered set is referred to as a "permutation."

When the order of the arrangements counts, a permutation is a mathematical technique that establishes the total number of alternative arrangements in a collection. Choosing only a few items from a collection of options in a specific sequence is a common task in arithmetic problems.

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The statement that describes the solution of the equation is:

Option A: The equation has two valid solutions and no extraneous solution

The equation we want to solve is given as:

\(\frac{2}{x + 2} + \frac{1}{10} = \frac{3}{x + 3}\)

Multiply through by 10(x + 2)(x + 3) to get:

20(x + 3) + (x + 2)(x + 3) = 30(x + 2)

Expanding gives:

20x + 60 + x² + 5x + 6 = 30x + 60

x² - 5x + 6 = 0

Using quadratic equation calculator gives:

x = 2 or x = 3

Thus, the equation has two valid solutions and no extraneous solution

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Each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

1. Horizontal Shift (c):
If there is a horizontal shift, the equation becomes y = (x - c)^3.
For example, if there is a shift of 2 units to the right, the equation would be y = (x - 2)^3.

2. Vertical Shift (d):
If there is a vertical shift, the equation becomes y = x^3 + d.
For example, if there is a shift of 3 units upwards, the equation would be y = x^3 + 3.

3. Vertical Stretch (a):
If there is a vertical stretch or compression, the equation becomes y = a * x^3.
For example, if there is a vertical stretch by a factor of 2, the equation would be y = 2 * x^3.

4. Reflection (along the x-axis):
If there is a reflection along the x-axis, the equation becomes y = -x^3.
This flips the graph of the original function upside down.

5. Reflection (along the y-axis):
If there is a reflection along the y-axis, the equation becomes y = (-x)^3.
This mirrors the graph of the original function.

6. Combined Transformations:
If there are multiple transformations, we can apply them in the order they are given. For example, if there is a vertical stretch by a factor of 2 and a horizontal shift of 3 units to the right, the equation would be y = 2 * (x - 3)^3.

Remember, each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

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1/7 of the animals in the zoo are male monkeys.

To find the fraction of animals in the zoo that are male monkeys, we have to calculate the product of the fractions representing the proportion of monkeys and the proportion of male monkeys among them.

Given that 1/5 of the animals in the zoo are monkeys, we will then represent this as:

= 1/5

= 5/25.

And 5/7 of the monkeys are male which is written as 5/7.

To get fraction of male monkeys, we will multiply these two fractions:

= (5/25) * (5/7)

= 25/175

= 1/7.

Full question:

1/5 of the animals in the zoo are monkeys 5/7 of the monkeys are male. What fraction of the animals in the zoo are male monkeys?

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Answer:

5+23+18+8+4,=100

Step-by-step explanation:

plus

The expression is written with parentheses and the signs will be 5 + 23 + 18 x (8 - 4) = 100.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

5 + 23 + 18 x (8 - 4) = 100

Simplify the expression, then we have

5 + 23 + 18 x (8 - 4) = 100

5 + 23 + 18 x 4 = 100

28 + 72 = 100

100 = 100

The expression is written with parentheses and the signs will be 5 + 23 + 18 x (8 - 4) = 100.

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Answer:

linear equation

Step-by-step explanation:

it's the only one that matches the description :)

Answer:

$42.49

Step-by-step explanation:

s=p−(p×d)

Where:

s

is the sales price: what we are solving for in this problem

p

is the original price: $49.99 for this problem

d

is the discount percent: 15% for this problem. "Percent" or "%" means "out of 100" or "per 100", Therefore 15% can be written as

15/100. Substituting and calculating

s gives: s =$49.99-($49.99×1510)

s=$49.99−$749.8100

s=$49.99−$7.4985   s=$42.4915    s=$42.49

rounded to the nearest cent.

The sales price of the video game is $42.49

Answer:

42.49

Step-by-step explanation:

49.99 × 15% = 7.50

49.99 - 7.50 = 42.49

The sale price is 42.49.

Answer:

Step-by-step explanation:

B

The number of games that will be played in the first round will be 14 games.

It should be noted that the appropriate function to use in this scenario will be:

= (n - 1) × 2

where n = total number of people participating.

Therefore, this will be:

= (n - 1) × 2

= (8 - 1) × 2

= 7 × 2

= 14

Therefore, the number of games that will be played in the first round will be 14 games.

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Answer:

25 and 54

Step-by-step explanation:

(a)

6z² - 2z + 5 ← substitute z = 2

= 6(2)² - 2(2) + 5

= 6(4) - 4 + 5

= 24 - 4 + 5

= 20 + 5

= 25

(b)

64 - 5z ← substitute z = 2

= 64 - 5(2)

= 64 - 10

= 54

Answer:

The answer is "Option C".

Step-by-step explanation:

The census is meant to count a whole population of a nation and the place, where everyone normally lives. It is a statistical method, which analyses all groups or components of its community used then for a specific particular population so not all representatives with this population. It try to collect data from everybody in the community and we're doing a census.

Answer:

498,960 ways

Step-by-step explanation:

The president position can be filled by any one of the 11 qualified candidates. After the president is chosen, the secretary position can be filled by any one of the remaining 10 candidates. Similarly, the treasurer position can be filled by any one of the remaining 9 candidates.

Next, the three director positions can be filled in any order by selecting 3 candidates out of the remaining 8 candidates. The order of the selected candidates does not matter because all 3 directors are equivalent.

Using the multiplication principle of counting, we can multiply the number of choices at each step to find the total number of ways to fill the positions:

Number of ways to choose the president = 11

Number of ways to choose the secretary = 10

Number of ways to choose the treasurer = 9

Number of ways to choose the 3 directors = C(8, 3) = 56 (since order doesn't matter)

Total number of ways to fill the positions = 11 x 10 x 9 x 56 = 498,960

Therefore, there are 498,960 ways to fill the positions in the software development company.

The  company can fill the positions in 332,640 ways.

Combination is a way of selecting a subset of objects from a larger set, where the order of selection does not matter.

The company needs to elect a president, a secretary, a treasurer, and three directors.

There are 11 qualified candidates who can run for any of the positions.

The company can fill the positions in the following order:

President (11 candidates to choose from)

Secretary (10 candidates left to choose from)

Treasurer (9 candidates left to choose from)

Director 1 (8 candidates left to choose from)

Director 2 (7 candidates left to choose from)

Director 3 (6 candidates left to choose from)

So, the total number of ways the positions can be filled is:

= 11 × 10 × 9 × 8 × 7 × 6

= 332,640

Therefore, the company can fill the positions in 332,640 ways.

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The diver collected water samples at every 3 meters, starting from 5 meters below the water surface, up to a final depth of 35 meters.

We can find the number of samples collected by dividing the total depth range by the distance between each sample and then adding 1 to include the first sample.

The total depth range is:

35 m - 5 m = 30 m

The distance between each sample is 3 m, so the number of samples is:

(30 m) / (3 m/sample) + 1 = 10 + 1 = 11

Therefore, the diver collected a total of 11 water samples.

\((4\times 10^{3})-(3.39\times 10^{3})\implies (4000)-(3390) \\\\\\ 610\implies 61\times 10\implies 6.1\times 100\implies {\Large \begin{array}{llll} 6.1\times 10^{2} \end{array}}\)

Answer:

5x + 15

Step-by-step explanation:

you just multiply by 3 then simplify

Answer:

5(x+1)

Step-by-step explanation:

3(x+5) + 2x

=> 3x + 15 + 2x

=> 5x + 15

=> 5(x+1)

Manav can cover 1 mile of the distance in just 12 minutes.

The unit rate can be expressed in any unit for instance minute per mile, miles/hour, etc

if Manav covers 3 miles in 36 minutes, her unit rate in minutes per mile is expressed as:

Unit rate = 36min/3miles

Unit rate = 12 minutes/mile

Here,

This shows that Manav can cover 1 mile of the distance in just 12 minutes.

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(a) The GPA for those with verbal SAT scores of 600 is: 3.097

(b) The slope of 0.00362 represents the average change in the college GPA that is associated with a one-unit increase in the verbal SAT score

a. Estimate the average GPA for those with verbal SAT scores of 600.

The regression line relating verbal SAT scores and college GPA for the data exhibited in Figure 3.12 is y = 0.275 + 0.00362x.

The GPA for those with verbal SAT scores of 600 is:

y = 0.275 + 0.00362(600)

= 3.097

b. Explain what the slope of 0.00362 represents in terms of the relationship between GPA and SAT.

The slope of 0.00362 represents the average change in the college GPA that is associated with a one-unit increase in the verbal SAT score

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