Laura purchased a new dress from an outlet store for $179.55. Her friend Caitlin purchased the same dress from a retail store for $234.99. Find the rate of discount offered bythe outlet store (to the nearest tenth of a percent).21.9%22.3%23.6%25.0%None of these choices are correct.

Answer:

The y-intercept is -2.

Step-by-step explanation:

Look at the graph and see where the line crosses the y-axis.

Answer:

-2

Step-by-step explanation:

The y-intercept is defined as the point where the line crosses the y-axis. It can be negative or positive. In this picture, the line crosses the y-axis at the point -2.

~theLocoCoco

The function that gives the area A(x) of the field (in square meters) in terms of x is A(x)=(220x-x²).

The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.

Ann has 440 meters of fencing and wishes to enclose a rectangular field is x.

We know that, the perimeter of a rectangle is P=2(Length+Width)

Let the length of a rectangle be x.

Now, 440=2(x+Width)

Width=220-x

a) A function that gives the area A(x) of the field (in square meters) in terms of x.

A(x)= x(220-x)

A(x)=(220x-x²)

b) Side length x gives the maximum area that the field can have

220x-x²=0

220x=x²

x=220 meters

So, Side length x= 220 meters

Therefore, the function that gives the area A(x) of the field (in square meters) in terms of x is A(x)=(220x-x²).

To learn more about the area of a rectangle visit:

https://brainly.com/question/20693059.

#SPJ1

Based on the given information, we can estimate that out of the total population of students, 2 out of 4 students (or 50%) own graphing TI calculators so it can be estimated that the proportion of students who do not own a TI graphing calculator is 50%.

To estimate the proportion of students who do not own a TI graphing calculator, we can use the information provided that out of the 4 students who owned a TI calculator, 2 had graphing calculators. Since we know that all graphing calculators are TI calculators, we can assume that the 2 students with graphing calculators are included in the total count of students who own TI calculators. Therefore, the remaining 2 students who own TI calculators must have non-graphing calculators.

Based on this information, we can estimate that out of the total population of students, 2 out of 4 students (or 50%) own non-graphing TI calculators. Therefore, we can estimate that the proportion of students who do not own a TI graphing calculator is 50%.

It's important to note that this is an estimation based on the limited information provided. To obtain a more accurate estimate, a larger sample size or more comprehensive data would be needed. Additionally, this estimation assumes that the sample of 4 students is representative of the entire student population in terms of calculator ownership. If there are any biases or limitations in the sampling method or if the sample is not representative, the estimate may not accurately reflect the true proportion of students who do not own a TI graphing calculator.

Learn more about estimate here:

brainly.com/question/30876115

#SPJ11

The expression for the difference of two linear functions is (f - g)(x) = 4x - 6.

A linear function is a type of function in mathematics that has the form f(x) = mx + b, where x is the independent variable, f(x) is the dependent variable, m is the slope of the line, and b is the y-intercept.

To find the expression for the difference of two linear functions, f(x) and g(x), denoted by (f - g)(x).

The expression for (f - g)(x) can be found by subtracting g(x) from f(x):

(f - g)(x) = f(x) - g(x)

Substituting the given functions f(x) = x - 2 and g(x) = -3x + 4, we get:

(f - g)(x) = f(x) - g(x)

= (x - 2) - (-3x + 4) [Substitute the given values of f(x) and g(x)]

= x - 2 + 3x - 4 [Distribute the negative sign in front of (-3x + 4)]

= 4x - 6 [Combine like terms]

Therefore, (f - g)(x) = 4x - 6.

Option D (-3x² - 2x - 8) is incorrect as it involves squaring a linear expression, which would result in a quadratic expression. Option A (which has no operation between 3 and 22) is not a valid expression. Option B (-3x - 8) and C (3x3x22 or 198) do not take into account the fact that each sundae can be made using one of 3 syrups and one of 3 candy toppings.

To know more about linear function visit:

https://brainly.com/question/2248255

#SPJ1

Answer:

Step-by-step explanation:

The angle of elevation of the 23​-foot ​ramp, to the nearest tenth of a​ degree, if its final height is 5 feet is 12.6°.

What is Sine?

The Sine or Sinθ in a right angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,

this is where

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The hypotenuse is the longest side of the triangle.

We know that the length(Hypotenuse) of the ramp is 23 feet, while the height(Perpendicular) of the ramp is 5 feet. Thus, using the Sine function of the trigonometry can be written as,

so,the angle of elevation of the 23​-foot ​ramp, to the nearest tenth of a​ degree, if its final height is 5 feet is 12.6°.

(i) To calculate the probability that the time between buses will be at least 20 minutes,

we need to find the area under the exponential distribution curve for values greater than or equal to 20.

Using the formula for the exponential distribution, we have: P(X ≥ 20) = 1 - P(X < 20) = 1 - e^(-20/20) = 1 - e^(-1) ≈ 0.632, Therefore, the probability that the time between buses will be at least 20 minutes is approximately 0.632.

(ii) To calculate the probability that the time between buses will exceed 20 minutes but will be less than 30 minutes,

we need to find the area under the exponential distribution curve between 20 and 30. Using the formula for the exponential distribution, we have:

P(20 < X < 30) = ∫[from 20 to 30] λe^(-λx) dx
               = [-e^(-λx)] from 20 to 30
               = [-e^(-30/20) + e^(-20/20)]
               ≈ 0.117

Here, T represents the inter-arrival time, λ is the rate parameter (1/mean), and t is the time we want to calculate the probability for. In this case, λ = 1/20 and t = 20 minutes.

P(T >= 20) = e^(-1/20 * 20) = e^(-1) ≈ 0.368

We want to find P(20 < T < 30), which can be calculated as P(T <= 30) - P(T <= 20).

P(T <= 30) = 1 - e^(-1/20 * 30) ≈ 0.776
P(T <= 20) = 1 - e^(-1/20 * 20) ≈ 0.632

P(20 < T < 30) = 0.776 - 0.632 ≈ 0.144

So, the probability that the time between buses will exceed 20 minutes but be less than 30 minutes is approximately 0.144 or 14.4%.

To know more about probability click here

brainly.com/question/15124899

#SPJ11

Answer:

9 1/10th m/s2 :)

Step-by-step explanation:

The reason it is 1/10 is because the Number is 81 not 80, therefore 1/10 because there it is 1 left in 80 making it a fraction not a whole :) i hope this helps sorry if the explanation is too complicated...

The age that represents the 48th percentile is 53.

To find the age that represents the 48th percentile given the data below, we first need to arrange the data in ascending order.43, 45, 48, 50, 52, 52, 52, 53, 58, 58, 61, 62, 67, 67Next, we need to determine how many values are in the data set. In this case, there are 14 values. We need to find the rank of the 48th percentile, which is equal to 0.48 * 14 = 6.72, which we can round up to 7 since we can't have a fraction of a rank.The age that represents the 48th percentile is the 7th value in the ordered data set, which is 53. Therefore, the age that represents the 48th percentile is 53.

Learn more about percentile :

https://brainly.com/question/16797504

#SPJ11

Answer:

A. y = -2x + 2      B. y = x - 1

Step-by-step explanation:

A.

We have two given points, which are (0, 2) and (1, 0). Because one of the given points has the x-coordinate 0, it means it is the y-intercept. The y-intercept is 2, which means that 2 is the B of our equation. Now, I will use the skeleton method to find the slope.

((2) - (0))/((0) - (1)) = -2    

Now we know that -2 is the slope, so we can form the equation.

y = -2x + 2

B.

The line shown in exercise B is actually a 1x equation since it is seen that it goes through every whole number without forming decimals. So our m is 1. The y-intercept, which can be seen by looking at the y-coordinate at x = 0, is -1. So -1 is our B.

The equation is as follows.

y = x - 1

Answer:

(-6, 3)

Step-by-step explanation:

1. plot both endpoints on a graph

2. plot M equally far away from both of the endpoints

3. since its a line segment there's only 1 possible point where the midpoint is equally far away from both endpoints

Answer:

The inverse is  -1/7(x+4)

Step-by-step explanation:

We have the function

y = -7x-4

To find the inverse, exchange x and y

x = -7y -4

Solve for y

Add 4 to each side

x+4 = -7y -4+4

x+4 = -7y

Divide each side by -7

-1/7(x+4) = -7y/-7

-1/7(x+4) = y

The inverse is  -1/7(x+4)

The value of angle Z is 81°. Thus, option C is correct.

Given that the value of angle A is 32° and the value of angle B is 67°. We need to find the value of angle Z. Before solving the question let us have a quick glance over the concept of angle sum property.

Angles sum property states that the sum of angles of a triangle is 180°.  

A + B + Z = 180°Now substituting the given values in the equation we get,32° + 67° + Z = 180°⇒ 99° + Z = 180°Now we will transfer the constant term to the RHS.99° + Z - 99° = 180° - 99°⇒ Z = 81°

In order to solve the question, we have used the concept of the angle sum property. This property is used to find the sum of angles in a triangle. Any triangle has three angles and the sum of these three angles is always equal to 180°.

This concept helps us to form equations for the given values of angles. Further, these equations can be solved to find the unknown angles in the triangle.

For more such questions on value

https://brainly.com/question/30236354

#SPJ8

The appropriate simulation applet to calculate an approximate p-value is 0.0077.

The strong evidence that a short delay hinders the memorization process is strong data suggests that a brief delay impairs memorization.

Delay or no delay, answer: the number of words remembered

The mean distance between words remembered with and without delay over time is null, or zero.

Alt: The mean distance in words remembered over the long term (with no delay minus with delay) is higher than 0.

Yes, the majority of the lines do skew to the right. The mean for no delay is 10.55 whereas that for with delay is 8.7.

The mean distance in words remembered is 1.85.

1)0.0077 as the p-value

2)Strong data suggests that a brief delay impairs memorization.

For more such question on impairs.

https://brainly.com/question/14691128

#SPJ4

Answer:

84

Step-by-step explanation:

We can use angle addition

<CAB = < CAD + < DAB

130 = 5x-14 + 6x+12

Combine like terms

130 = 11x-2

Add 2 to each side

130+2 = 11x-2+2

132 = 11x

Divide each side by 11

132/11 = 11x/11

12= x

We want to find <DAB

< DAB = 6x+12

           =6*12 + 12

           = 6(12)+12

          = 72+12

          = 84

Answer:

∠ DAB = 84°

Step-by-step explanation:

∠ CAD + ∠ DAB = ∠ CAB ( substitute values )

5x - 14 + 6x + 12 = 130

11x - 2 = 130 ( add 2 to both sides )

11x = 132 ( divide both sides by 11 )

x = 12

Then

∠ DAB = 6x + 12 = 6(12) + 12 = 72 + 12 = 84°

Answer: I hope this helped!

Step-by-step explanation:

.

Cost of tjhe donut: D

Cost of the large coffee: C

On Monday Harold picked up six donuts and two large coffees for the office staff, he paid $5.80:

On Tuesday, Melinda picked up four donuts and 5 large coffees for the office staff. She paid $7.02:

Use the next system of linear equations to find the value of D and C:

1. Solve D in the first equation:

2. Substitute the D in the second equation by the equation you get in step 1:

3. Solve C:

4. Use the value of C=0.86 to find D;

The solution fot the system is:

Assumptions: For the purpose of this exercise, let's assume that we are analyzing defects in a manufacturing process. We will invent data for five different categories of defects and their corresponding frequencies. the cumulative percentage for each category, we find that the top 20% category of defects is Category A.

a. Based on the invented data, the histogram analysis reveals the following distribution of defects and their frequencies:

Category A: 50 defects

Category B: 30 defects

Category C: 20 defects

Category D: 15 defects

Category E: 10 defects

To identify the top 20% of the category of defects contributing to 80% of the total volume, we calculate the cumulative frequency. Starting with the category with the highest frequency, we add up the frequencies until we reach 80% of the total. In this case, Category A contributes the highest frequency, and its cumulative frequency is 50. The total number of defects is 125 (50 + 30 + 20 + 15 + 10). By calculating the cumulative percentage for each category, we find that the top 20% category of defects is Category A.

b. Performing a Root Cause Analysis for the Top Contributing Factor (Category A) using the 5-Why method or Fishbone diagram helps determine the underlying causes. We identify potential factors such as equipment malfunction, operator error, insufficient training, or process variability. By asking "why" repeatedly, we dig deeper into each cause to uncover the root cause.

c. Based on the analysis, we develop a corrective action plan and preventive action plan. For example:

Corrective Action Plan: Assign qualified technicians to regularly inspect and maintain the equipment, conduct additional training for operators to enhance their skills, and implement process control measures to reduce variability.

Preventive Action Plan: Establish a preventive maintenance schedule for equipment, implement a comprehensive training program for all operators, and conduct regular process audits to identify and address potential issues proactively.

The corrective and preventive action plans should clearly define the tasks, responsibilities, and timelines. The maintenance department may be responsible for equipment maintenance, the training department for operator training, and the quality department for process audits. Regular monitoring and evaluation of the action plans should be conducted to ensure effectiveness and make any necessary adjustments.

know more about cumulative frequency click here:

https://brainly.com/question/28491523

#SPJ11

Answer:

C

Step-by-step explanation:

wejekeiowowpweiajeisoaoeiejehsjsusha

Answer: moderate, C, B

Step-by-step explanation:

A)  A shows a moderate negative correlation.  It is moderate because the scattered points are sort of close to the line so it has moderate/medium correlation.  It is also negative because it has a negative slope

B) C shows the strongest correlation because the points around the line are tight and close.

C)  B should not have been drawn.  The  correlation is very weak.  You do know where the line should be because the points are all over the place.

Two length of the same frequency and amplitude moving in opposite directions combine to form a standing wave, which appears to be stationary. Given that the pool in this instance is 24 m long and has six loops, the wavelength is 4 m.

Wavelength = Length of Pool / Number of Loops

24 m / 6 loops

= 4 m

Wavelength

= 4 m

Two waves of the same frequency and amplitude moving in opposite directions combine to form a standing wave, which appears to be stationary. A stationary wave pattern is produced when the two waves collide and interfere with one another. Six loops make up the 24 m-long pool in this instance. As a result, the standing wave's wavelength is equal to the pool's length divided by the number of loops, or 24 m / 6 = 4 m. This indicates that the standing wave's wavelength is 4 metres. Standing waves can be used to determine a wave's speed because they are equal to wavelength times frequency. Understanding how waves behave in various contexts, such as swimming pools, oceans, or other bodies of water, can be helped by this.

Learn more about length here

https://brainly.com/question/13194650

#SPJ4

There are 7 degrees of freedom.

In performing the pooled-variance t test, the degrees of freedom can be calculated using the formula:
df = (n1 - 1) + (n2 - 1)

Substituting the given values:
df = (4 - 1) + (5 - 1)
df = 3 + 4
df = 7

Therefore, there are 7 degrees of  freedom.

Learn more about degrees of freedom

brainly.com/question/32093315

#SPJ11

There are 7 degrees of freedom for the pooled-variance t-test.

To perform a pooled-variance t-test, we need to calculate the degrees of freedom. The formula for degrees of freedom in a pooled-variance t-test is:

\(\[\text{{df}} = n_1 + n_2 - 2\]\)

where \(\(n_1\)\) and \(\(n_2\)\) are the sample sizes of the two independent samples.

In this case, \(\(n_1 = 4\)\) and \(\(n_2 = 5\)\). Substituting these values into the formula, we get:

\(\[\text{{df}} = 4 + 5 - 2 = 7\]\)

In a pooled-variance t-test, we combine the sample variances from two independent samples to estimate the population variance. The degrees of freedom for this test are calculated using the formula \(df = n1 + n2 - 2\), where \(n_1\)and \(n_2\) are the sample sizes of the two independent samples.

To understand why the formula is \(df = n1 + n2 - 2\), we need to consider the concept of degrees of freedom. Degrees of freedom represent the number of independent pieces of information available to estimate a parameter. In the case of a pooled-variance t-test, we subtract 2 from the total sample sizes because we use two sample means to estimate the population means, thereby reducing the degrees of freedom by 2.

In this specific case, the sample sizes are \(n1 = 4\) and \(n2 = 5\). Plugging these values into the formula gives us \(df = 4 + 5 - 2 = 7\). Hence, there are 7 degrees of freedom for the pooled-variance t-test.

Therefore, there are 7 degrees of freedom for the pooled-variance t-test.

Learn more about  t-test

https://brainly.com/question/13800886

#SPJ11

Using combination formula, 15 different homes can be built.

For given question,

Let the three different interior plans be I1, I2 and I3

Let  E1, E2, E3, E4 and E5 be five different exterior plans.

For each interior plan a developer has 3 choices.

Using combination formula,

As,

\(^{3}C_1\\\\=\frac{3!}{1!(3-1)!} \\\\=3\)

And for each exterior plan a developer has 5 choices.

Using combination formula,

\(^{5}C_1\\\\=\frac{5!}{1!(5-1)!} \\\\=5\)

Thus, for each interior plan a developer has 5 choices of exterior plan that is together 5 × 3 = 15 possibilities.

Therefore, using combination formula, 15 different homes can be built.

Learn more about the combination here:

https://brainly.com/question/13387529

#SPJ4

Answer:

84

Step-by-step explanation:

What I did was simple. I just plugged it into my calculator and let it get to work. If you don't have a calculator, use your phone or computer. There should be calculators on both of these.

Please let me know if you need any more help. Hope this helps!

The magnitude of the resultant force is approximately 20,308 N

The direction angle is 17,392.2 N

The direction of the resultant force is approximately N3W

In this case, the two tugboat forces form a right triangle, and the hypotenuse represents the resultant force. So, we can calculate the magnitude of the resultant force as follows:

resultant force = √((15,791.1 N)² + (12,262.5 N)²)

= 20,308.3 N

Then, we can calculate the angle between the resultant force and the horizontal axis using the formula:

tan θ = (Fy / Fx)

where Fy is the vertical component of the resultant force, and Fx is the horizontal component of the resultant force. We can calculate these components as follows:

Fy = (-1250 N * sin(-55)) + (1610 N * sin(35))

= -921.6 N

Fx = (1250 N * cos(-55)) + (1610 N * cos(35))

= 17,392.2 N

Plugging these values into the formula, we get:

tan θ = (-921.6 N) / (17,392.2 N)

= -0.053

Taking the inverse tangent (tan⁻¹) of both sides, we get:

θ = tan⁻¹(-0.053)

= -2.99°

To know more about magnitude here

https://brainly.com/question/14452091

#SPJ4

Answer:

215$ in profit

Step-by-step explanation:

So first, plug 52 into the equation. That makes it 7+52*4. In PEMDAS, multiplication goes first. So multiply 52*4. That makes it 208. So now plug 208 into the equation. That is 7+208. Finally, you finish the equation. 7+208 is 215, so Ricky make 215$ in profit.

Step-by-step explanation:

hrer do it this way

it is correct

Answer:

6(x)

Step-by-step explanation:

Answer:

6x

Step-by-step explanation:

x represents a number, it is also called a variable.

If there is 2 of x, it would be represented like this: 2x

If there is 1 of x, it would be represented like this: x

Answer:

756 dollars

Step-by-step explanation:

Answer:

$756

Step-by-step explanation:

700×0.08=56

700+56=756