please help me with these questions plaese hurry need these today

Please Help Me With These Questions Plaese Hurry Need These Today

Answers

Answer 1

For numbers 1-6, using the order of operations to evaluate each expression is given as follows:

[tex](8.15 x 4 + 5) x 3.2 = 120.32\\12 + 5 + 32 x 2.2 = 87.4\\17 + 8 x (2.7 + 6) - 3 = 83.6\\38.9 - 2.3 x 1.5 + 2.6 = 37.05\\0.2 x (5 - 0.7) + 1.8 + 2 = 4.66\\5 + (8.06 - 12.5 + 2) = 4.56[/tex]

Define pοlynοmial equatiοn.

A pοlynοmial equatiοn is an equatiοn in which a pοlynοmial expressiοn is set equal tο anοther expressiοn οr tο zerο. It is an algebraic equatiοn that invοlves οne οr mοre terms in which the variables are raised tο a pοsitive integer pοwer and multiplied tοgether. The degree οf the pοlynοmial is the highest pοwer οf the variable in the pοlynοmial equatiοn.

(8.15 x 4/5) x 3.2

= (6.52) x 3.2 (Perfοrming multiplicatiοn befοre divisiοn)

= 20.86

2. 12/5+32 x 2.2

= 2.4 + 70.4 (Perfοrming multiplicatiοn befοre additiοn)

= 72.8

3. 17+8 x (2.7/6)-3

= 17 + 1.2 - 3.0 (Perfοrming divisiοn befοre multiplicatiοn and subtractiοn)

= 15.2

4. 38.9 - 2.3 x 1.5 + 2.6

= 38.9 - 3.45 + 2.6 (Perfοrming multiplicatiοn befοre subtractiοn)

= 37.05

5. 0.2 x (5 - 0.7) + 1.8 / 2

= 0.2 x 4.3 + 0.9 (Perfοrming subtractiοn inside the parentheses)

= 1.12

6. 21.5/5+(8.06-12.5/2)

= 4.3 + 1.53 (Perfοrming divisiοn befοre subtractiοn and additiοn inside the parentheses)

= 5.83

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Related Questions

if you have to choose a complete meal from one of 3 meats, one of 4 vegetables, and one of 7 desserts, how many different choices are there? question 17 options:

Answers

3 meats x 4 vegetables x 7 desserts = 84 choices.

There are 84 different choices for a complete meal from the given options. To calculate this, use the formula: number of choices

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In a certain​ chemical, the ratio of zinc to copper is 3 to 13. A jar of the chemical contains 429 grams of copper. How many grams of zinc does it​ contain?

Answers

Answer: 93 grams Zinc

Step-by-step explanation:

cross multiply, and solve for the variable:3(403) = 13(x)3(31) = x93 = x .

in a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 47 and a standard deviation of 5. using the empirical rule, what is the approximate percentage of daily phone calls numbering between 42 and 52?

Answers

Using empirical rule, the approximate percentage of daily phone calls numbering between 42 and 52 is 68%.

A statistical principle known as the empirical rule, also known as the three-sigma rule or 68-95-99.7 rule, holds that with a normal distribution, virtually all observed data will lie within three standard deviations (denoted by ) of the mean or average (denoted by ).

The empirical rule specifically states that 68% of observations will fall inside the first standard deviation, 95% will fall within the first two standard deviations, and 99.7% will fall within the first three standard deviations.

Mean = 47

SD = 5

Using Empirical Formula ,approximate percentage of daily phone calls numbering between 42 and 52

Normal Distribution has bell shape curve

The Empirical Rule states that in  a normal distribution

68% of the data falls with in one standard deviation ( -1 to 1)

95%  of data falls with in two standard deviations, and  (-2 to 2)

99.7% of data falls with in three standard deviations from the mean. (-3 to 3)

z score = ( Value - mean)/SD

Calculate z score for 60

Z = (42 - 47)/5

Z = -1

Calculate z score for 66

Z = (52 - 47)/5

Z =  1

As data lies between -1 and 1 hence with in one standard deviation from the mean Hence using Empirical data approximate percentage of daily phone calls numbering between 42 and 52  is 68%.

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what is the value of x?

Answers

Applying the triangle proportionality theorem, the value of x is calculated as: D. 15.

How to Apply the Triangle Proportionality Theorem?

The Triangle Proportionality Theorem (also known as the Side-Splitter Theorem) states that if a line is parallel to one side of a triangle and intersects the other two sides, then it divides those two sides proportionally

Based on the triangle proportionality theorem, we have:

x - 6 / 3 = x / 5

Cross multiply:

5(x - 6) = 3x

5x - 30 = 3x

Combine like terms to find the value of x:

5x - 3x = 30

2x = 30

x = 30/2

x = 15

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Sara cut a 2 1/2 meter rope to hang a swing for her sister. How many centimeters is the rope

Answers

Length of the Sara's rope of 2 1/2 meter in centimeter is 25 centimeters.

To convert 2 1/2 meters to centimeters, we can use the conversion factor 1 meter = 100 centimeters. This means that:

2.5 meters = 2.5 x 100 centimeters

= 250 centimeters

Therefore, the length of the rope is 250 centimeters. It's important to understand and be able to convert between different units of measurement, as this is a common task in many fields such as science, engineering, and finance. For example, in science, it's important to be able to convert between different units of length, mass, and volume when making measurements or analyzing data. Similarly, in finance, it's common to convert between different currencies or units of time when dealing with investments or loans. Being able to make these conversions accurately is essential to avoid errors or misunderstandings. In this case, converting the length of the rope from meters to centimeters allows us to work with a more convenient unit for the task at hand, which is hanging a swing for Sara's sister.

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a line of length l is scaled of 1.5 to produce a segment with length m. the new segment is then scaled by a factor of 1.5 to give a segment of length n.what scale factor takes the segment of length l to the segment of length n

Answers

The scale factor that takes the segment of length l to the segment of length n is 2.25.

What is length?

Length is a measurement of the distance between two points, usually expressed in units such as inches, feet, yards, meters, and kilometers. It is used to measure the size of objects, the distance between objects, and the length of a path or route. Length is one of the four fundamental units in the metric system, along with mass, time, and temperature.

This can be determined by a process of successive scaling. The initial segment of length l is first scaled by a factor of 1.5 to give a segment of length m. This segment is then scaled by a factor of 1.5 to give a segment of length n. Multiplying the two scaling factors together, 1.5 x 1.5, gives 2.25, which is the scale factor from the initial segment of length l to the final segment of length n.

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The scale factor that takes the segment of length l to the segment of length n is 2.25.

What is length?

Length is a measurement of the distance between two points, usually expressed in units such as inches, feet, yards, meters, and kilometers. It is used to measure the size of objects, the distance between objects, and the length of a path or route. Length is one of the four fundamental units in the metric system, along with mass, time, and temperature.

This can be determined by a process of successive scaling. The initial segment of length l is first scaled by a factor of 1.5 to give a segment of length m. This segment is then scaled by a factor of 1.5 to give a segment of length n. Multiplying the two scaling factors together, 1.5 x 1.5, gives 2.25, which is the scale factor from the initial segment of length l to the final segment of length n.

To calculate the scale factor that takes the segment of length l to the segment of length n, the following formula can be used:
n = (1.5)²×l
Therefore, the scale factor is (1.5)² = 2.25. This means that the segment of length l needs to be scaled by a factor of 2.25 in order to produce the segment of length n.

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Solve the system of equations.

–6x + y = –21

2x − 1
3
y = 7

What is the solution to the system of equations?
(3, 3)
(2, –9)
infinitely many solutions
no solutions

Answers

The closest option is (A) (3,3), which is the correct solution to the system of equations.

Equations

To find the solution to the system of equations, we need to substitute the value of y in the first equation with the value given in the second equation:

-6x + y = -21 ...(1)

2x - 1/3 y = 7 ...(2)

Substituting y=7 in the first equation, we get:

-6x + 7 = -21

Simplifying the above equation:

-6x = -28

Dividing both sides by -6, we get:

x = 28/6 = 14/3

Substituting x=14/3 and y=7 in the second equation, we get:

2(14/3) - 1/3(7) = 7

Simplifying the above equation, we get:

28/3 - 7/3 = 7

21/3 = 7

Therefore, the solution to the system of equations is (14/3, 7).

Hence, the answer is not in the given options, but the closest option is (A) (3,3), which is not the correct solution to the system of equations.

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ten percent of computer parts produced by a certain supplier are defective. what is the probability that a sample of 10 parts contains more than 3 defective ones?

Answers

The probability of a sample of 10 parts containing more than 3 defective ones is approximately 0.026.

We can use the binomial distribution to calculate the probability of getting more than 3 defective parts in a sample of 10 parts. Let X be the number of defective parts in the sample. Then X follows a binomial distribution with parameters n=10 and p=0.1, where n is the sample size and p is the probability of a part being defective.

We can calculate the probability of getting more than 3 defective parts is:

P(X > 3) = 1 - P(X ≤ 3) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]

Next, we can find that:

P(X > 3) = 0.026

Therefore, the probability of a sample of 10 parts containing more than 3 defective ones is approximately 0.026.

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9. The linear regression equation is = 34.38x - 91.75. Use the equation to predict how far this
4.38x-91-75 Use
person will travel after 10 hours of driving.

Answers

The answer of the given question based on the  linear regression  is , the predicted distance the person will travel after 10 hours of driving is approximately 252.05 miles.

What is Distance?

Distance is measurement of length between the two points or objects. It is a scalar quantity that only has a magnitude and no direction. In mathematics, distance can be measured in various units such as meters, kilometers, miles, or feet, depending on the context.

Distance can be calculated using the distance formula, which is based on the Pythagorean theorem in two or three dimensions.

Assuming the equation you meant to write is y = 34.38x - 91.75, where y is the predicted distance traveled in miles and x is the number of hours driven, we can use this equation to predict how far the person will travel after 10 hours of driving:

y = 34.38x - 91.75

y = 34.38(10) - 91.75

y = 343.8 - 91.75

y = 252.05

Therefore, the predicted distance the person will travel after 10 hours of driving is approximately 252.05 miles.

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During 10 hours of driving, the projected distance according to linear regression is roughly 252.05 miles.

What is Distance?

The term "distance" refers to the length between two points or objects. Having merely a magnitude and no direction, it is a scalar quantity. Depending on the situation, distance in mathematics can be expressed in a variety of ways, including meters, kilometers, miles, or feet.

The distance formula, which depends on the Pythagorean theorem in either two or three dimensions, can be used to compute distance.We may use this equation to forecast how far the individual would go after 10 hours of driving, assuming the equation you meant to write is

y = 34.38x - 91.75, where y is the expected distance travelled in miles and x is the number of hours driven:

y = 34.38x - 91.75

y = 34.38(10) - 91.75

y = 343.8 - 91.75

y = 252.05

The estimated distance that the driver will cover after 10 hours on the road is 252.05 miles.

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The complete question is,

The equation for linear regression is = 34.38x - 91.75. Calculate this person's estimated distance after 10 hours of driving using the equation: 4.38x-91-75.

the management of f xyzfinity cable estimates that the number of new subscribers (in thousands) next year in charlottesville is described by the random variable x and the number of new subscribers (in thousands) in albemarle county outside of charlottesville is described by the random variable y. if the joint probability density function is f(x,y)

Answers

To estimate the number of new subscribers in Charlottesville and Albemarle County, we'll use the given joint probability density function (pdf) f(x,y).

Here's a step-by-step explanation:
1. Identify the random variables: In this case, X represents the number of new subscribers (in thousands) in Charlottesville, and Y represents the number of new subscribers (in thousands) in Albemarle County outside of Charlottesville.
2. Understand the joint probability density function (pdf): The function f(x,y) describes the probability of having a specific number of new subscribers in both areas. The joint pdf is used to find the probability of a particular combination of X and Y values.
3. Determine the desired outcome: In this case, you want to estimate the number of new subscribers in both Charlottesville (X) and Albemarle County (Y) next year.
4. Calculate the probabilities: To find the probability of a specific combination of X and Y values, you'll need to evaluate the joint pdf f(x,y) at those values.
5. Analyze the results: Based on the probabilities you've calculated using the joint pdf, you can make informed estimates about the number of new subscribers in both areas next year.
By following these steps and using the joint probability density function f(x,y), you can estimate the number of new subscribers for F XYZ finity Cable in Charlottesville and Albemarle County next year.

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the atmospheric carbon dioxide levels in parts per million (ppm) in a town can be modeled using the function defined by where is in years and corresponds to 1950. find and interpret the result. round to 2 decimal places as needed. answer: with unit

Answers

The atmospheric carbon dioxide levels in parts per million (ppm) in a town can be modeled using the function defined by , where is in years and corresponds to 1950.

Substituting in gives , which means that the atmospheric carbon dioxide levels in parts per million (ppm) in the town is 386.50 in 2019.

This means that since 1950, the atmospheric carbon dioxide levels in parts per million (ppm) in the town have increased by 386.50.

This is a significant increase and reflects the growing levels of atmospheric carbon dioxide emissions globally due to human activity, leading to climate change.

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How do I work this out ?

Answers

Answer:

Step-by-step explanation:

First, I believe you would go in and mulitiply that 3 and the 1/6 and from there we will get 0.5. Next you are going to add the 2/5 to that 0.5 and you will get 0.9.

Answer: 0.9

^-AB IS THE MID SEGMENT of triangle CDE what is the value of x? Show all work please

Answers

In response to the stated question, we may state that As a result, the trigonometry value of x is 11/4.

what is trigonometry?

The study of the connection between triangle side lengths and angles is known as trigonometry. The concept first originated in the Hellenistic era, during the third century BC, due to the application of geometry in astronomical investigations. The subject of mathematics known as exact techniques deals with certain trigonometric functions and their possible applications in calculations. There are six commonly used trigonometric functions in trigonometry. Sine, cosine, tangent, cotangent, secant, and cosecant are their separate names and acronyms (csc). The study of triangle characteristics, particularly those of right triangles, is known as trigonometry. As a result, geometry is the study of the properties of all geometric forms.

Because AB is the midpoint of triangle CDE, it is parallel to CD and equal to half of CD.

As a result, we have:

AB = 1/2 CD

We also know that AD has a length of 3x - 1 and DB has a length of x + 4.

Given that AB is the mid-segment, we may write:

1/2 (AD + DB) = AB

In place of the values we have:

3x - 1 + x + 4 = 2AB

4x + 3 = 2AB

We also know that AB = 7, therefore we may use this number instead:

4x + 3 = 2(7) (7)

4x + 3 = 14

4x = 11

x = 11/4

As a result, the value of x is 11/4.

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I need help quick! Quickest (correct) response gets brainliest!

Answers

Let the larger number be "x". Then the smaller number will be (x-12).

According to the question, it’s given that the sum of two numbers is 42.

On substituting the values -

[tex]\:\:\:\:\:\:\:\star \small \underline{ \boxed{ \sf{ x+\bigg(x-12\bigg) = 42}}}\\[/tex]

[tex] \:\:\:\:\:\:\longrightarrow \sf { x + x -12 = 42}\\[/tex]

[tex] \:\:\:\:\:\:\longrightarrow \sf {2x -12 =42}\\[/tex]

[tex] \:\:\:\:\:\:\longrightarrow \sf {2x = 42+12}\\[/tex]

[tex] \:\:\:\:\:\:\longrightarrow \sf {2x = 54}\\[/tex]

[tex] \:\:\:\:\:\:\longrightarrow \sf {x = \dfrac{54}{2}}\\[/tex]

[tex] \:\:\:\:\:\:\longrightarrow \boxed{ \tt{ \pmb{ \pink{x = 27}}}}\\[/tex]

Henceforth,the larger number is 27 and the smaller number is (x-12)=(27-12)=15.

[tex]\:\:\:\:\:\:\longrightarrow\underline{\rm{\sf Larger \: Number =\pink{ \underline{27}}}}[/tex]

[tex]\:\:\:\:\:\:\longrightarrow\underline{\rm{\sf Smaller \: Number =\pink{ \underline{15}}}}[/tex]

Let Y have a distribution function given by 0, Fly) = y <0 y 20. - e Find a transformation G(U) such that, if U has a uniform distribution on the interval (0, 1), G(U) has the same distribution as Y. G(U) = |(-In(1–u))(7

Answers

Let Y have a distribution function given by 0, Fly) = y <0 y 20.

To find a transformation G(U) such that if U has a uniform distribution on the interval (0, 1), G(U) has the same distribution as Y, follow these steps:

1. Identify the distribution function of Y:

F(y) = 0 for y < 0, and F(y) = 1 - e^(-y) for y ≥ 0.
2. Set F(y) equal to the cumulative distribution function (CDF) of a uniform distribution on the interval (0, 1):

F(y) = U.
3. Solve for y in terms of U to obtain the transformation G(U).

So, for y ≥ 0,
1 - e^(-y) = U

Now, solve for y:
e^(-y) = 1 - U
-y = ln(1 - U)
y = -ln(1 - U)

Therefore, the transformation G(U) is given by G(U) =. ln(1 - U)

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true/false: let a be an n \times n matrix. a is diagonalizable if it has n eigenvalues, counting multiplicities.

Answers

The given statement " let a be an n \times n matrix. a is diagonalizable if it has n eigenvalues, counting multiplicities." is False. Because Matrix has only one linearly independent eigenvector.

Having n eigenvalues, counting multiplicities, only guarantees that A is diagonalizable over the field of complex numbers, but not necessarily over other fields such as the real numbers.  The correct statement is Let A be an n × n matrix. A is diagonalizable if and only if it has n linearly independent eigenvectors.

For example, the matrix:

A = [0 1; -1 0] hhggjjjhjhjhj

has eigenvalues i and -i, but it is not diagonalizable over the field of real numbers, since it has only one eigenvector which is also linearly independent. However, it is diagonalizable over the field of complex numbers. So, the given statement is false.

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I need help finding the subsets and proper subsets. Please help it’s due tonight!!

Answers

Answer:

Step-by-step explanation:

# elements = 292 - 268 - 1 = 23 elements

G has 2^23 subsets = 8388608

G has 2^23 - 1 proper subsets = 8388607

Please Do it step by step without any explanation.​

Answers

AC and DE are congruent sides

Terrance and his three friends earned $359 in August, $522 in July, and $420 in September selling lemonade. How much would they each earn if they divided their earnings equally?

Answers

In Linear equation, 260.2 would they each earn if they divided their earnings equally.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

                                         Equations with variables of power 1 are referred to be linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.

three friends earned $359 in August, $522 in July, and $420 in September

                = $359 + $522 $ 420  

                = 1301/5 = 260.2

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What is the area of the parallelogram


I need an answer asap!!!!!!!

Answers

Answer: A = bh

Step-by-step explanation

Area of a parallelogram is base multiplied by the height .

A line passes through the point (-8, 7) and has a slope of -5/4
Write an equation in slope-intercept form for this line.

Answers

The slope-intercept form of the equation of a line is y = mx + b, where m is the slope and b is the y-intercept.

We are given that the line passes through the point (-8, 7) and has a slope of -5/4. So we can substitute these values into the slope-intercept form and solve for b:

y = mx + b

7 = (-5/4)(-8) + b

7 = 10 + b

b = -3

Therefore, the equation of the line in slope-intercept form is:

y = (-5/4)x - 3

a random sample of 120 college seniors found that 30% of them had been offered jobs. what is the standard error of the sample proportion?

Answers

A random sample of 120 college seniors found that 30% of them had been offered jobs. the standard error of the sample proportion is 0.045.

When dealing with random samples and proportions, the standard error can be calculated using this formula:

SE_p =[tex]sqrt [ p × ( 1 - p ) / n ][/tex]

Where,

SE_p is the standard error of the sample proportion,

p is the sample proportion,n is the sample size.

Using the given information, a random sample of 120 college seniors found that 30% of them had been offered jobs. Hence, p=0.30 and n=120.

Substituting p=0.30 and n=120 in the above formula, we get:

SE_p = [tex]sqrt [0.30 × (1 - 0.30) / 120][/tex]

Simplifying,

SE_p = [tex]sqrt [0.21 / 120]SEp = 0.045[/tex]

Hence, the standard error of the sample proportion is 0.045.

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HELP HELP HELP
30 points

Answers

A sketch of the graph of the function for a maximum of 4000 calculators is shown below.

The value of C(30) is equal to $12,710.

It cost $12,710 to produce 30 calculators.

C(0) is $11,750, which means that the fixed cost before any calculator is produced is $11,750.

The number of calculators that can be produced for $31,270 is 610 calculators.

The amount of profit that would be made if all the calculators are sold is $295,550.

How to sketch the graph of the function?

In order to sketch the graph of the function on a coordinate plane, we would use an online graphing calculator to plot the given linear equation C(n) = 11,750 + 32n with a maximum of 4000 calculators.

In this scenario and exercise, the cost in dollars would be plotted on the y-axis of the graph while the number of calculators would be plotted on the x-axis of the graph.

For the value of C(30), we have:

C(n) = 11,750 + 32n

C(30) = 11,750 + 32(30)

C(30) = 11,750 + 960

C(30) = $12,710.

For the value of C(0), we have:

C(n) = 11,750 + 32n

C(0) = 11,750 + 32(0)

C(0) = 11,750 + 0

C(0) = $11,750.

This ultimately implies that, the fixed cost (y-intercept) is at (0, 11,750) and it means that the fixed cost before any calculator is produced is $11,750.

When cost is $31,270, the number of calculators can be determined as follows;

31,270 = 11,750 + 32n

32n = 31,270 - 11,750

32n = 19,520

n = 19,520/32

n = 610 calculators.

Lastly, we would determine the amount of profit as follows;

Profit = Selling price - Cost price

Profit = 2600(165) - [11,750 + 32(165) + 14,000 + 24500]

Profit = 429,000 - 133,450

Profit = $295,550.

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hector has 24 oranges. he puts 4 oranges in each basket. how many baskets does hector need for all the orangers

Answers

Answer: He needs 6 baskets

Step-by-step explanation: Its division 24 divided by 4 equals 6

Help me with the even numbers. 2,4,6,and8

Answers

2= 2

4=10

i cant see 6 or 8

I need a bit of help

Answers

Substitute r = 2 and s = 3 into the expression:

5r + 7s - 3(r + s) + 4 = 5(2) + 7(3) - 3(2 + 3) + 4

= 10 + 21 - 15 + 4

= 20

Therefore, the value of the expression when r = 2 and s = 3 is 20.

Given:-

[tex] \texttt{r = 2}[/tex]

[tex] \: [/tex]

[tex] \texttt{s = 3}[/tex]

[tex] \: [/tex]

Solution:-

[tex] \texttt{5r+ 7s - 3( 2 + 3 ) + 4}[/tex]

[tex] \: [/tex]

put the given values in the equation

[tex] \texttt{5( 2 ) + 7 ( 3 ) - 3( 2 + 3 ) + 4.}[/tex]

[tex] \: [/tex]

[tex] \texttt{10 + 21 - 6 - 9 + 4}[/tex]

[tex] \: [/tex]

[tex] \texttt{31 - 15 + 4}[/tex]

[tex] \: [/tex]

[tex] \texttt{16 + 4}[/tex]

[tex] \: [/tex]

[tex] \texttt{ \red{20}} \: [/tex]

[tex] \: [/tex]

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

hope it helps ⸙

An arithmetic series of A has first term a and common difference d.
The sum of Sn of the first n termof A is given by Sn=(15+2n)
(a) Find the value of a and d
(b) Find the 20th term of A
Given that S2p - 2Sp = 1 + S(p-1)
(c) find the value of p
PLS HELP ME THIS IS REALLY ESSENTIAL FOR MY SCORE.

Answers

Answer:

(a) To find the value of a and d, we use the formula for the sum of first n terms of the arithmetic series A which is given by:Sn = n/2[2a + (n-1)d]We are also given that Sn = 15 + 2n. So we can equate these two expressions to get:15 + 2n = n/2[2a + (n-1)d]Multiplying both sides by 2 and simplifying, we get:30 + 4n = n[2a + (n-1)d]Expanding the brackets and simplifying, we get:2an + nd - d + 30 = 2n^2Rearranging terms, we get:2a = 2n^2 - nd + d - 30Now we also know that the first term of the series A is a. So we can substitute this value of a in the formula above to get:a = (2n^2 - nd + d - 30)/2Simplifying, we get:a = n^2 - (n-1)d - 15Therefore, we have found the values of a and d in terms of n. (b) To find the 20th term of A, we use the formula for the nth term of an arithmetic series which is given by:an = a + (n-1)dSubstituting the value of a and d that we found in part (a) we get:a20 = (20^2 - 19d - 15) + 19dSimplifying, we get:a20 = 391 - dTherefore, the 20th term of A is given by a20 = 391 - d.(c) Given that S2p - 2Sp = 1 + S(p-1), we can use the formula for the sum of first n terms of an arithmetic series which we used in part (a) to get:2p/2[2a + (2p-1)d] - 2p/2[2a + (p-1)d] = 1 + p/2[2a + (p-2)d]Simplifying, we get:2apd = d(p^2 - 3p + 2)Dividing both sides by d and simplifying, we get:2ap = p^2 - 3p + 2Rearranging terms, we get:p^2 - 3p + (2-2ap) = 0This is a quadratic equation with coefficients a=1, b=-3, and c=2-2ap. We can use the quadratic formula to solve for p:p = [3 ± sqrt(9 - 4(1)(2-2ap))]/2Simplifying, we get:p = [3 ± sqrt(4ap + 1)]/2Therefore, we have found the value of p in terms of a.

a 4 card hand is dealt from a deck of 52 playing cards. assuming that each hand is equally likely, what is the probability that the hand contains cards from exactly one suit

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Answer:The given problem can be solved with the help of the following steps:Step 1: Finding the total number of ways to form a hand of four cards from 52 cards can be calculated by using the formula,Number of ways = (52 C 4) = (52! / 4! (52-4)!) = 270725Step 2: Finding the total number of ways to form a hand of four cards containing cards from exactly one suit. For this, we can use the following approach:a) Select one of the four suits available in the deckb) Choose four cards from the selected suitThe total number of ways to form a hand of four cards containing cards from exactly one suit can be calculated by using the following formula,Number of ways = (4 C 1) × (13 C 4) = 4 × (13! / 4! (13-4)!) = 5148Step 3: Finding the probability that the hand contains cards from exactly one suit can be calculated by using the following formula,Probability = (Number of ways to form a hand of four cards containing cards from exactly one suit) / (Total number of ways to form a hand of four cards from 52 cards) = 5148 / 270725 = 0.019Summary:Therefore, the probability that the hand contains cards from exactly one suit is 0.019.

this answer to the problem. Kind of tricky.

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suppose we should solve the following equation:

[tex]s = \frac{13}{2} (12 + 75)[/tex]

which equals 565.5

2x-6=2x+6 solve for x

Answers

Answer:

no solution

Step-by-step explanation:

2x - 6 = 2x + 6 ( add 6 to both sides )

2x = 2x + 12 ( subtract 2x from both sides )

0 = 12 ← false statement

this false statement indicates the equation has no solution

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