A movie theater sends out a coupon for ​30% off the price of a ticket. Write an equation for the​ situation, where y is the price of the ticket with the​ coupon, and x is the original price of the ticket. Use pencil and paper. Draw a graph of the equation and explain why the line should only be in the first quadrant. The equation is y=

Step-by-step explanation:

(1 ⅓ yd²) / (8/9 yd²)

(4/3 yd²) / (8/9 yd²)

(4/3) × (9/8)

3/2

1.5 / 1

Answer:

\(\qquad {:}\longrightarrow\tt 1\dfrac {1}{3}=\dfrac{4}{3}\)

\(\qquad {:}\longrightarrow\displaystyle\tt \dfrac {\dfrac {4}{3}}{\dfrac {8}{9}}\)

\(\qquad {:}\longrightarrow\tt \dfrac {4}{3}\times \dfrac {9}{8}\)

\(\qquad {:}\longrightarrow\tt \dfrac {36}{24}\)

\(\qquad {:}\longrightarrow\tt \dfrac {3}{2}\)

\(\qquad {:}\longrightarrow\tt 1.5 \:per\:unit\)

Answer:

The value of ∠A is 62° ⇒ c

The value of ∠B is 54°⇒ d

Step-by-step explanation:

In a triangle, the measure of an exterior angle at a vertex of the triangle equals the sum of the measures of the two opposite interior angles to this vertex.

In Δ ABC

∵ The measure of the exterior angle at the vertex C = 116°

∵ The opposite interior angles to vertex C are ∠A and ∠B

∵ m∠A = (3x - 13)°

∵ m∠B = (2x + 4)°

→ By using the rule above

∴ (3x - 13) + (2x + 4) = 116

→ Add the like terms in the left side

∵ (3x + 2x) + (-13 + 4) = 116

∴ 5x + -9 = 116

∴ 5x - 9 = 116

→ Add 9 to both sides

∵ 5x - 9 + 9 = 116 + 9

∴ 5x = 125

→ Divide both sides by 5

∴ x = 25

→ To find the measures of angle A and B substitute x in their

   measures by 25

∵ m∠A = 3(25) - 13 = 75 - 13

∴ m∠A = 62°

∴ The value of ∠A is 62°

∵ m∠B = 2(25) + 4 = 50 + 4

∴ m∠B = 54°

∴ The value of ∠B is 54°

To determine the image of point C after rotating it 144 degrees counterclockwise about point X, the original vertex would be the image of point C.

When a point is rotated counterclockwise about another point, the image is formed by tracing the path of the original point as it rotates. In this case, point C is rotated 144 degrees counterclockwise about point X. To find the image of point C, we trace its path as it rotates and identify the final position.

However, without specific information about the coordinates of point C and point X, it is not possible to determine the exact image or the original vertex. Additional information or coordinates are needed to determine the image accurately.

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Simplifying the given expression, the passcode would be: CDOPWR.

To simplify an expression means to solve to find the value in its simplest form.

Simplify the given expression as explained below:

P. 1/2 + 2/3 - 4.25

= 1.17 + 4.25 [addition]

= 5.42

R. -7 * -4 + 3.5

28 + 3.5 [multiply before adding based on PEMDAS]

= 31.5

D. -5.6 + 2.7 - 3.2 = -6.1

W. 3/4 - 0.25 + 6.8

0.75 - 0.25 + 6.8 = 7.3 [apply PEMDAS]

C. -2 * 4.3 - 7.1 [apply PEMDAS]

= -8.6 - 7.1

= -15.7

O. 1/2 + 0.5 - 2/5 [convert all fractions to decimals]

0.5 + 0.5 - 0.4 = 0.6

From the least to the greatest, the passcode would be: CDOPWR.

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The solution to the inequality is all values of x less than 5. We can write the solution set using interval notation as (-∞, 5).

To solve the inequality -5x - 3 + 2x > -18, we need to isolate the variable x on one side of the inequality sign.

Starting with the given inequality:

-5x - 3 + 2x > -18

Simplifying the left-hand side by combining the like terms:

-3x - 3 > -18

Adding 3 to both sides:

-3x > -15

Dividing both sides by -3, and reversing the inequality sign since we are dividing by a negative number:

x < 5

Therefore, the solution to the inequality is all values of x less than 5. We can write the solution set using interval notation as (-∞, 5).

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We can be 90% confident that the true proportion of newborns born at a healthy weight lies between 0.653 and 0.747.

The maximal margin of error (e) at 90% confidence is 0.055. To construct a 90% confidence interval for the true proportion of interest, we can use the formula:

where the z-score for a 90% confidence level is 1.645.

The standard error can be calculated using the formula:

where n is the sample size.

Substituting the values, we get:

Therefore, we can be 90% confident that the true proportion of newborns born at a healthy weight lies between 0.653 and 0.747.

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Answer:

9.6

Step-by-step explanation:

Answer:

9.6 in decimal form, 9 6/10 in a mixed fraction, 96/10 in an improper fraction.

Step-by-step explanation:

6.4 + 3.2, 6 plus 3 = 9

4+2 = 6

Leah and Philip have same unit rate.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The table is shown for the number of pages and number of nights.

Now,

The unit rate to read the number of pages for Leah;

⇒ 45 / 3 = 15

The unit rate to read the number of pages for Rose;

⇒ 48 / 4 = 12

The unit rate to read the number of pages for Hannah;

⇒ 30 / 3 = 10

The unit rate to read the number of pages for Philip;

⇒ 150 / 10 = 15

Thus, Leah and Philip have same unit rate.

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Answer:

Step-by-step explanation:

The first one is equal to.  203/203 is equal to 1.  1 times any number is itself.

The second on is less than.  9/37 is a proper fraction and when a number is multiplied by a proper fraction, it gets smaller.

Luke will drive for 9 hours while Priya will drive for 3 hours.

Driving is the controlled operation and movement of a vehicle, including cars, motorbikes, trucks, buses, and bicycles. Drivers must abide by the local traffic and road laws when driving on public roadways, which are only permitted when a number of requirements are met. The word "driving" has an etymology that dates back to the 15th century, and it has evolved as what driving has included has changed over time, from working animals in the 15th century to automobiles in the 1800s. Since the fifteenth century, driving has also demanded more advanced physical, mental, and safety abilities.

Let number of hours Priya travelled be x and number of hours Luke travelled  be 3x.

Now, Total hours travelled by Priya and Luke;

x+3x=12

x=3

Hence number of hours Priya travelled is 3 hours and Luke travelled for 9 hours.

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Answer:

840

Step-by-step explanation:

7000×2×6 ÷ 100. since it is 2%

= 840

Answer:

i didint gets can u picture perfect

The evaluated integral is \(9e^x - x^2 + C\).

The summing of discrete data is indicated by the integration. To determine the functions that will characterise the area, displacement, and volume that result from a combination of small data that cannot be measured separately, integrals are calculated.

To evaluate the integral ∫\(9e^x - 2x dx\), we can use the properties of integration.

First, let's integrate the term \(9e^x\):

∫\(9e^x dx\) = 9∫\(e^x dx\) = 9\(e^x + C_1\), where \(C_1\) is the constant of integration.

Next, let's integrate the term -2x:

∫-2x dx = -2 ∫x dx = \(-2(x^2/2) + C_2\), where \(C_2\) is the constant of integration.

Now, we can combine the two results:

∫\(9e^x - 2x dx = 9e^x + C_1 - 2(x^2/2) + C_2\)

= \(9e^x - x^2 + C\), where \(C = C_1 + C_2\) is the combined constant of integration.

Therefore, the evaluated integral is \(9e^x - x^2 + C\).

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Answer:

2x

Step-by-step explanation:

The width of the outer frame - inner frame

= 8 \(\frac{3}{4}\) - 4 = 2x

The derivative of h(t) with respect to time, h'(t), is equal to -3πsin(πt).

To find h'(t), the derivative of the height function h(t) = 3cos(πt) - 5, we'll use the chain rule for differentiation. The chain rule states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function. Here, the outer function is f(u) = 3cos(u) - 5, and the inner function is g(t) = πt. We'll first find the derivatives of these functions: f'(u) = -3sin(u) and g'(t) = π. Now, we'll apply the chain rule: h'(t) = f'(g(t)) * g'(t) = -3sin(πt) * π. So, the derivative of h(t) with respect to time, h'(t), is equal to -3πsin(πt).

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Step-by-step explanation:

x = number of years after 2007.

x = 0 for 2007.

PC(x) is a function that calculates how many pounds of chicken the average adult will eat every year (x) after 2007 (up to 2012).

PC(x) = 0.8x + 52

0 <= x <= 5

in 2007 (x = 0) the average adult ate 52 pounds.

in every year after 2007 until 2012 0.8 pounds get added to the amount of the previous year.

so, in 2012 (x = 5) the average adult will eat

PC(5) = 0.8×5 + 52 = 4 + 52 = 56 pounds of chicken.

Answer:

X=1

Step-by-step explanation:

(3)/(2)+(1)/(2)x=2x

x=1

Answer:

172

Step-by-step explanation:

Substitute z = 9 into the expression, that is

9² + 9(9) + 10 = 81 + 81 + 10 = 172

Answer:

this isnt funny!

Step-by-step explanation:

people actually want to help others but your posting silly questions.

Answer:

xDDD

Step-by-step explanation:

I assume you're supposed to find the limit as n approaches infinity, not x.

You have

\(\displaystyle \lim_{n\to\infty}\frac{4^n-5.3^n+1}{2.4^n+2} = \lim_{n\to\infty}\frac{\left(\dfrac4{5.3}\right)^n-\left(\dfrac{5.3}{5.3}\right)^n+\dfrac1{5.3^n}}{\left(\dfrac{2.4}{5.3}\right)^n+\dfrac2{5.3^n}} \\\\ = \lim_{n\to\infty}\frac{\left(\dfrac4{5.3}\right)^n-1+\dfrac1{5.3^n}}{\left(\dfrac{2.4}{5.3}\right)^n+\dfrac2{5.3^n}}\)

For |x| < 1, we have lim |x|ⁿ = 0 as n goes to infinity. Then each exponential term converges to 0, which leaves us with -1/0. This means the limit is negative infinity.

On the other hand, perhaps you meant to write

\(\displaystyle \lim_{n\to\infty}\frac{4^n-5\times3^n+1}{2\times4^n+2}\)

The same algebraic manipulation gives us

\(\displaystyle\lim_{n\to\infty}\frac{\left(\dfrac44\right)^n-5\left(\dfrac34\right)^n+\dfrac1{4^n}}{2\left(\dfrac44\right)^n+\dfrac2{4^n}} = \lim_{n\to\infty}\frac{1-5\left(\dfrac34\right)^n+\dfrac1{4^n}}{2+\dfrac2{4^n}}\)

Again the exponential terms converge to 0, but this time we're left with the limit 1/2.

From the given data;

Limits of 90% confidence interval are given by:

Hence, the 90% confidence interval for the true population mean textbook weight is:

Answer:

y intercept is range and x intercept is domain

Step-by-step explanation:

theres no graph

a) To create a balanced data set with a proportion of fraudulent records at 20%, we need to calculate the number of fraudulent records that need to be resampled.

Let's denote the total number of fraudulent records that need to be resampled as \(x\). The total number of records in the balanced data set will be \(10,000 + x\).

The proportion of fraudulent records in the balanced data set is given as 20%. This means that the number of fraudulent records in the balanced data set should be 20% of the total number of records.

Setting up the equation:

\(\(\frac{{\text{{number of fraudulent records}}}}{{\text{{total number of records}}}} = \frac{{400 + x}}{{10,000 + x}} = 0.20\)\)

Simplifying the equation:

\(\(400 + x = 0.20(10,000 + x)\)\(400 + x = 2,000 + 0.20x\)\(x - 0.20x = 2,000 - 400\)\(0.80x = 1,600\)\(x = \frac{{1,600}}{{0.80}}\)\(x = 2,000\)\)

Therefore, 2,000 fraudulent records need to be resampled in order to achieve a balanced data set with a proportion of fraudulent records at 20%.

b) To calculate the number of non-fraudulent records that need to be set aside, we first need to determine the number of total records in the balanced data set. We already know that the total number of records in the training set is 10,000.

Since the proportion of fraudulent records in the balanced data set should be 20%, the remaining 80% of the balanced data set will consist of non-fraudulent records.

Let's denote the number of non-fraudulent records that need to be set aside as \(y\). The total number of records in the balanced data set will be \(y + 400\).

Setting up the equation:

\(\(\frac{{\text{{number of fraudulent records}}}}{{\text{{total number of records}}}} = \frac{{400}}{{y + 400}} = 0.20\)\)

Simplifying the equation:

\(\(400 = 0.20(y + 400)\)\(400 = 0.20y + 80\)\(0.20y = 320\)\(y = \frac{{320}}{{0.20}}\)\(y = 1,600\)\)

Therefore, 1,600 non-fraudulent records need to be set aside in order to achieve a balanced data set with a proportion of fraudulent records at 20%.

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The conditioned response (CR) in this scenario is the feeling of illness that Jack experiences whenever he sees bread. It is a learned response that has been associated with the moldy bread incident and has become triggered by the sight of bread.

When Jack unknowingly ate the sandwich with moldy bread, he formed an association between the moldy bread and feeling ill. This association was established through classical conditioning, where an unconditioned stimulus (the moldy bread) became paired with an unconditioned response (feeling ill) due to its natural properties.

Over time, this association became learned, and the bread itself became a conditioned stimulus (CS).

As a result, whenever Jack now sees bread, the conditioned stimulus (CS), it triggers the conditioned response (CR) of feeling ill.

The association between the moldy bread and feeling ill has been generalized to bread in general, leading to the automatic and involuntary response.

The CR in this scenario demonstrates the power of conditioning and how an initially neutral stimulus (bread) can come to evoke a response (feeling ill) due to its association with an aversive experience (eating moldy bread).

This learned response can persist even after the initial incident and continue to affect Jack's emotional and physiological reactions to bread in the future.

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Answer: sorry about earlier but hope this helps

Step-by-step explanation:

Hope this helps

Sorry if it looks sideways really sorry

The probability that a compact car's randomly chosen mpg would be higher than 30 is 0.797.

Given data;

A certain compact car's mpg (miles per gallon) has a mean of 31 and a standard deviation of 1.2 and is regularly distributed.

We need to get the probability that the mpg for a randomly selected compact car would be more than 30.

Therefore;

Mean = μ = 31

Standard deviation = σ = 1.2

Let;

P(X > 30) = P(X - 31/1.2 > 30 - 31/1.2)

               = P(Z > -0.833)

               = 0.797

Hence, the probability that the mpg for a randomly selected compact car would be more than 30 is 0.797.

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