I need to solve for c
3b +ac=c-4

Add up the 3 items for subtotal.

Then take that subtotal and multiply by 0.20 (which is the same as 20%). That's your tip.

Add subtotal + tip and there's your total bill.

See attached screenshot.

Hope you have a good afternoon : )

Answer:0.025

Step-by-step explanation:

To construct a 98% confidence interval for B₁, we can use the t-distribution since the sample size is small (n = 12).

Given the sample mean (B₁ = 46), sample standard deviation (s = 5.7), and sum of squares (SSzz = 57), we can calculate the confidence interval.

The formula for a confidence interval is:

Confidence Interval = Sample Mean ± (Critical Value * Standard Error)

For a 98% confidence level and n = 12, the critical value is approximately 2.681 (obtained from a t-distribution table).

The standard error is calculated as the sample standard deviation divided by the square root of the sample size (s / √n).

Plugging in the values:

Standard Error = 5.7 / √12 ≈ 1.647

Confidence Interval = 46 ± (2.681 * 1.647)

Therefore, the 98% confidence interval for B₁ is approximately (42.21, 49.79).

In conclusion, we can be 98% confident that the true value of B₁ falls within the range of 42.21 to 49.79 based on the given sample data.

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The graph of g(x) = 3x² + 6 is steeper and shifted upward compared to the graph of f(x) = x².

A graph can be defined as a pictorial representation or a diagram that represents data or values.

The graphs of g(x) = 3x² + 6 and f(x) = x² are both quadratic functions, which means that their graphs are parabolas.

However, they have different coefficients and constant terms, which means that they will have different shapes and positions.

Here, the graph of g(x) = 3x² + 6 is steeper and shifted upward compared to the graph of f(x) = x².

Both graphs have a vertex at the origin, but g(x) has a larger coefficient of x², which makes it steeper, and an added constant term, which shifts it upward.

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Main Answer: A normalized binary number typically consists of three parts:

Supporting Question and Answer:

What is a sign bit in a normalized binary number?

The sign bit is the leftmost bit of a normalized binary number and indicates whether the number is positive or negative .A value of 0 indicates a positive number, while a value of 1 indicates a negative number.

Body of the Solution: A normalized binary number typically consists of  the following three parts:

Final Answer: A normalized binary number typically consists of three parts:

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The number of oranges and the number of mangoes that she bought will be 20 and 5.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A woman saw oranges and mangoes at the market.

She bought some oranges at 35 cents each and some mangoes at $1.00 each.

If she bought a total of 25 fruits which had a total cost of $12.00.

Let x be the number of oranges and y be the number of mangoes.

Then the equations will be

       x + y = 25  ...1

0.35x + y = 12  ...2

By solving equations 1 and 2, we have

x = 20 and y = 5

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Answer:

7 jarras costarán 14 $

Step-by-step explanation:

Si 3 cubiertos cuestan  7.20 $

1 cubierto cuesta     7.20/3  =  2.40 $

y 5 cubiertos cuestan    5* 2.40   =  12 $

que también cuestan 6 jarras  =  12 $

Luego 1 jarra cuesta  12/6  =  2  $

Por lo que 7 jarras costarán:  7 * 2  =  14 $

There are 30 different combinations of two members who can be selected to serve on the spring formal committee.

Permutation is the arrangement of elements in a specific order. In this scenario, the elements are the six members of the student council, and the order in which they are arranged is important.

To find the number of permutations, we use the formula nPk, where n is the number of elements and k is the number of elements we want to arrange.

In this case, n = 6 and k = 2,

so we have

=> 6P2 = 6!/(6-2)!

=> 6!/(4!) = 6 x 5/1 = 30.

So, there are 30 possible spring formal committees that can be formed from the six members of the student council.

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Answer:

Erik's chips are a better buy by 10 cents per ounce

Step-by-step explanation:

Erik's chips cost by ounce: $0.32

Al's chips cost by ounce: $0.42

Sorry if this didn't help. This is my first answer

The standardized weight which represents the top 10% of the zucchinis from the z-score for the fisher farm the weights of zucchini squash are Normally distributed is 1.28.

Standardized normal distribution = Z given by ,

Z = (X - μ)/σ

Here, X is sample, is μ mean and is σ standard deviation.

At the Fisher farm, the weights of zucchini squash are Normally distributed.

For the normal distribution,

The value mean be 0 and standard deviation be 1.

Z = (X - μ)/σ

μ = 0 , σ = 1

Z = (X -0)/1

Z = X

For the top 10% of the zucchinis, the value of α is 0.9. From the table for this value the z score is,

Z = X

Z = 1.28

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The position vector r (with components x1, x2, x3) and any vector v can be expressed as r = x1*i + x2*j + x3*k and v = a*i + b*j + c*k, respectively.

The dot product of two vectors is defined as the sum of the products of their corresponding components. Therefore, the dot product of r and v can be calculated as:

r · v = (x1*i + x2*j + x3*k) · (a*i + b*j + c*k)

     = (x1*a) + (x2*b) + (x3*c)

Here, we multiplied the corresponding components and summed them up. The dot product represents the scalar projection of one vector onto the other, which indicates the magnitude of one vector in the direction of the other.

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the Estimated number of rabbits will be 80 in the year 2016.

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

Given a table of Rabit at a zoo in the table below,

2008 14

2009 24

2010 30

2011         39

2012 45

2013 57

M: 2010.5 M: 34.8333

To estimate the number of rabbits in the zoo in 2016 we need to find the linear equation;

Sum of X = 12063

Sum of Y = 209

Mean X = 2010.5

Mean Y = 34.8333

Sum of squares (SSX) = 17.5

Sum of products (SP) = 143.5

Regression Equation = ŷ = bX + a

b = SP/SSX = 143.5/17.5 = 8.2

a = MY - bMX = 34.83 - (8.2*2010.5) = -16451.26667

ŷ = 8.2X - 16451.26667

For x = 2016

y =  8.2* 2016 - 16451.26667

y = 79.933 or 80

therefore, the Estimated number of rabbits will be 80 in the year 2016.

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Complete question:

Answer:

See below

Step-by-step explanation:

Parallel lines have the same slope.

13) The slope would still be 2/3

14) The slope would still be 9/5

Answer: 1/4

Explanation: Remember that the absolute value of a number is just the positive version of that number. So the absolute value of -1/4 is 1/4.

Answer:

The answer is

Step-by-step explanation:

f(x) = 6x² + 3

To find the inverse of the function above equate it to y

That's

f(x) = y

So we have

y = 6x² + 3

Next interchange the variables that's x becomes y and y becomes x.

x = 6y² + 3

Next make y the subject

Subtract 3 from both sides

That's

6y² + 3 - 3 = x - 3

6y² = x - 3

Divide both sides by 6

That's

Next find the square root of both sides

We have the final answer as

Hope this helps you

Answer:

C. 5

Step-by-step explanation:

XY= -1-(-5)= 4

ZA= A-1= 4 ⇒ A=1+4= 5

A=5

3:5

Step-by-step explanation:

change the kilogram into gram and then divide it

Answer:

3 : 5

Step-by-step explanation:

The quantities must have the same units

1 Kg = 1000 g , then

600 : 1000 ( divide both parts by 200 )

= 3 : 5 ← in simplest form

On evaluating the given data, sum of all the angles of the traingle is equal to 102°. While angle of a is 46° and b is 22°

Given the values provided, we can determine the answers as follows:

To find the length of side CC, we need additional information about the triangle. Please provide the lengths of two sides or the necessary angles to calculate it.

Angle of a: a∘ = AA = 46

Angle of b: b∘ = BB = 22

Sum of all the angles of the triangle: a∘ + b∘ + c∘ = 46 + 22 + 34  = 102°

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Answer:

\(x < 80000\)

Step-by-step explanation:

\(3600 + 1.02x < 2000 + 1.04x \\ \frac{ \: \: \: \: \: \: \: \: \: \: \: \: - 1.04x < \: \: \: \: \: \: \: \: \: \: \: \: \: - 1.04x}{3600 - 0.02x < 2000} \\ \\ 3600 - 0.02x < 2000 \\ \frac{ - 3600 \: \: \: \: \: \: \: \: \: < - 3600}{ - 0.02x < - 1600} \\ \\ \frac{ - 0.02x}{ - 0.02} < \frac{ - 1600}{ - 0.02} \\ \\ x < 80000\)

Answer:

diameter=radius divided by 2

a) 95% confidence interval of the true mean : 88.98 < µ < 103.02

b) 95% confidence interval of the mean heart rate : 93.91 < µ < 98.09

Given ,

Point estimate = sample mean = X  = 96

Sample standard deviation = s = 15

Sample size = n = 20

= n - 1 = 20 - 1 = 19

Here,

Using t-distribution because standard deviation unknown

At 95% confidence level the t is,

\(t_{\alpha /2\), df  = t0.025,19 = 2.093

At 95% confidence level the t is,

α = 1 - 95%

= 1 - 0.95

= 0.05

α / 2 = 0.05 / 2

= 0.025

\(t_{\alpha /2\), df

 = \(t_{0.025,19\)

= 2.093

Margin of error,

E = \(t_{\alpha /2\) , df * s/√n

= 2.093 * 15/√20

= 7.02

Margin of error = E = 7.02

The 95% confidence interval estimate of the population mean is,

X - E < µ < X + E

96 - 7.02 < µ < 96 + 7.02

88.98 < µ < 103.02

b)

n = 200

degrees of freedom = n - 1 = 200 - 1 = 199

At 95% confidence level the t is,

\(t_{\alpha /2\), df  = \(t_{0.025,199\)

= 1.972

Margin of error,

E = \(t_{\alpha /2\) , df * s/√n

E = 1.972 * 15/√200

E = 2.09

The 95% confidence interval estimate of the population mean is,

X - E < µ < X + E

96 - 2.09 < µ < 96 + 2.09

93.91 < µ < 98.09

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Answer:

252 is the least common multiple

Step-by-step explanation:

Answer:

  C.  142°

Step-by-step explanation:

You want the angle between vectors u=3i+√3j and v=-2i-5j.

There are a number of ways the angle between the vectors can be found. For example, the dot-product relation can give you the cosine of the angle:

  u•v = |u|·|v|·cos(θ) . . . . . . where θ is the angle of interest

You can find the angles of the vectors individually, and subtract those:

  u = |u|∠α

  v = |v|∠β

  θ = α - β

When the vectors are expressed as complex numbers, the angle between them is the angle of their quotient:

  \(\dfrac{\vec{u}}{\vec{v}}=\dfrac{|\vec{u}|\angle\alpha}{|\vec{v}|\angle\beta}=\dfrac{|\vec{u}|}{|\vec{v}|}\angle(\alpha-\beta)=\dfrac{|\vec{u}|}{|\vec{v}|}\angle\theta\)

This method is used in the calculation shown in the first attachment. The angle between u and v is about 142°.

A graphing program can draw the vectors and measure the angle between them. This is shown in the second attachment.

__

Additional comment

The approach using the quotient of the vectors written as complex numbers is simply computed using a calculator with appropriate complex number functions. There doesn't seem to be any 3D equivalent.

The dot-product relation will work with 3D vectors as well as 2D vectors.

<95141404393>

To find quantity divide total length by cut length:

118.25 / 2.15 = 55 pieces

Film represents a movie and has relationships with Showings and Tickets. Theater represents a venue where movies are screened and has relationships with Rooms and Showings. Room represents an individual screening room within a Theater and has a relationship with Seats. Seat represents a specific seat within a Room. Showing represents a specific instance of a Film being screened in a Room and has relationships with Film and Room. Ticket represents a reservation for a specific Seat in a Showing and has relationships with Seat and Showing.

Film: The Film class represents a movie or a film in the enterprise description. It contains attributes such as title, genre, duration, director, and release date. Films have a one-to-many relationship with Showings, as multiple Showings can be associated with a Film. A Film can also be associated with Tickets, as Tickets are booked for a specific Showing of a Film.

Theater: The Theater class represents a physical theater venue where movies are screened. It has attributes like name, location, seating capacity, and number of screens. A Theater has a one-to-many relationship with Rooms, as it can have multiple screening rooms within the same venue. It also has a one-to-many relationship with Showings, as it can host multiple Showings of different Films.

Room: The Room class represents an individual screening room within a Theater. It has attributes like room number, seating capacity, and screen size. A Room belongs to a Theater, indicating a many-to-one relationship between the two classes. A Room has multiple Seats, indicating a one-to-many relationship between Room and Seat.

Seat: The Seat class represents a specific seat within a Room. It has attributes like seat number and seat type (e.g., regular, VIP). A Seat belongs to a Room, indicating a many-to-one relationship between the two classes. Multiple Seats can belong to a single Room.

Showing: The Showing class represents a specific instance of a Film being screened in a Theater's Room. It has attributes like start time, end time, and date. A Showing is associated with a Film, indicating a many-to-one relationship between the two classes. A Showing also takes place in a Room, indicating a many-to-one relationship between Showing and Room.

Ticket: The Ticket class represents a reservation or booking for a specific Seat in a Showing of a Film at a Theater. It has attributes like ticket number, price, and booking status. A Ticket is associated with a Seat, indicating a many-to-one relationship between the two classes. A Ticket is also associated with a Showing, indicating a many-to-one relationship between Ticket and Showing.

In conclusion, Film represents a movie and has relationships with Showings and Tickets. Theater represents a venue where movies are screened and has relationships with Rooms and Showings. Room represents an individual screening room within a Theater and has a relationship with Seats. Seat represents a specific seat within a Room. Showing represents a specific instance of a Film being screened in a Room and has relationships with Film and Room. Ticket represents a reservation for a specific Seat in a Showing and has relationships with Seat and Showing.

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Question:-

\(x^2-16\ge 20 \)

We need to solve the inequality.

Solution:-

\(\sf \longmapsto \: x^2-16\ge 20\)

We need to exchange ≥ to equal ( = )sign to solve Further.

\(\sf \longmapsto \: x {}^{2} - 16 = 20\)

Add 16 to both sides of this equation :-

\(\sf \longmapsto \: x^2 - 16+16=20+16\)

On Simplification of this equation:-

\(\sf \longmapsto {x}^{2} = 20 + 16\)

\(\sf \longmapsto {x}^{2} = 36\)

Then Take the square root of 36:-

\(\sf \longmapsto \: x = \pm \: \sqrt{36} \)

On Simplification :-

\(\sf \longmapsto \: x = 6 \: or \:x = - 6\)

Then,

Check the interim in between two points.

So for this, Replace x = 6 to x ≥ 6 and x = -6 to x ≤ - 6.This is the solution of this question.

\(\sf \longmapsto \: x \le - 6\)

And,

\(\sf \longmapsto \: x \ge \: 6\)

Option D

_____________________________________

Henceforth,The Answer is :-

\(\boxed{x \: \le - 6}\)

\(\boxed{x \ge \: 6 }\)

Option D is the correct answer

______________________________________

I hope this helps!

Please let me know if you have any questions.

~MisterBrian

Answer:

Step-by-step explanation:

Dont do it. Just take the detention

The true percentage of grocery shoppers that shop most frequently on Fridays from Monday to Friday, which is 20%, cannot be determined statistically. The value of p is 0.0130.

To solve this problem, we run a hypothesis test about the population proportion.

Proportion in the null hypothesis (p0) = 0.2

Sample size (n) = 75

Sample proportion (sp) = 24/75 = 0.32

Significance level = 0.01

\(H_{o}\) : p = 0.2

\(H_{a}\) : p ≠ 0.2

Test statistic percentage = ( \(sp\) - \(p_{o}\) ) / \(\sqrt{\frac{(p_{o})(1-p_{o} )}{n} }\)  

Left critical \(z_{0.01}\) = -2.5758

Right critical \(z_{0.01}\) = 2.5758

Calculated statistic = \(\frac{0.32-0.2}{\sqrt{\frac{(0.32)(1-0.32)}{75} } }\) = 2.2278

Since, -2.5758 < Test statistic < 2.5758, the null hypothesis cannot be rejected. There is not enough statistical evidence to state that the true proportion of grocery shoppers from Monday to Friday that goes most frequently on Fridays is different from 20%. The p - value is 0.0130.

Therefore,

The true percentage of grocery shoppers that shop most frequently on Fridays from Monday to Friday, which is 20%, cannot be determined statistically. The value of p is 0.0130.

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