After a 25% discount, the price of a t-shirt was $12. What was the price before the discount?

Solomon Asch's experiments revealed the influence of social conformity on individual judgment.

We have,

Solomon Asch's series of experiments on line judgments revealed the existence of conformity, as participants often gave incorrect answers to match the responses of others in the group, even when those answers were clearly wrong.

These findings demonstrate the powerful influence of social pressure on individual judgment and decision-making, highlighting the tendency to conform to group norms, even if it means disregarding one's own perception or judgment.

Thus,

Solomon Asch's experiments revealed the influence of social conformity on individual judgment.

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The Area of the composite figure as shown in the image below is: 105.57 km².

Referring to the diagram given below, the shape can be decomposed into one rectangle, one square, and one quarter circle.

The area of the composite figure = area of rectangle + area of square + area of quarter circle.

Area of the Rectangle = length × width

Length = 12 km

Width = 7 km

Area of the Rectangle = 12 × 7

Area of the Rectangle = 84 km²

Area of the square = (s)²

s = 3 km

Area of the square = 3²

Area of the Rectangle = 9 km²

Area of the quarter circle = 1/4(πr²)

r = 4 km

Area of the quarter circle = 1/4(π × 4²)

Area of the quarter circle = 12.57 km²

Area of the composite figure = 84 + 9 + 12.57

Area of the composite figure = 105.57 km².

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Answer:

$390

Step-by-step explanation:

so he has $500

he took $40,which is $460

then he put in $30,$490

then he took away $100,$390

hopefully you understand

The ratio of 15 days to a week is 15 : 7.

\( \\ \)

Ratio of 15 days to a week :

\( \sf : \implies 15 \: days : 1 \: week = \dfrac{15 \: days}{1 \: week}\)

\( \\ \)

Now, we know that 1 week has 7 days.

\( \sf : \implies 15 \: days : 1 \: week = \dfrac{15 \: \cancel{days}}{7 \: \cancel{days}}\)

\( \sf : \implies 15 \: days : 1 \: week = \dfrac{15}{7}\)

\( \sf : \implies 15 \: days : 1 \: week = 15 : 7\)

\( \\ \)

Hence, The ratio of 15 days to a week is 15 : 7.

The manager is considering urging the receptionist to retire or, if retirement is rejected, firing them due to previous performance issues. To address the situation, the manager needs to formulate hypotheses to explain the call issues and devise a plan to test them.

Several hypotheses can be considered to account for the dropped or misrouted incoming calls. These hypotheses could include technical issues with the phone system, insufficient training or knowledge of the receptionist, hearing impairment affecting the ability to handle calls effectively, or a lack of focus due to personal distractions.

To test these hypotheses using the double movement of reflective thought, the manager can follow a structured approach. Firstly, they can gather data and evidence related to the call issues, such as logging instances of misrouted or dropped calls, tracking response times, and documenting specific complaints. This data will help identify patterns and potential causes.

Next, the manager can conduct interviews or hold discussions with the receptionist to gather information about their experiences, challenges, and any potential barriers to effectively handling calls. This dialogue can provide insights into the receptionist's technical knowledge, training needs, or any personal factors affecting their performance.

Additionally, the manager can involve the IT department to evaluate the phone system for technical glitches or misconfigurations that may contribute to call issues. They can conduct tests, monitor call routing processes, and assess the overall functionality of the system.

Furthermore, the manager may consider providing additional training or support to address any identified knowledge gaps or skill deficiencies. This could include customer service training, phone system training, or even accommodating the receptionist's hearing impairment with appropriate assistive devices.

By systematically testing these hypotheses and gathering relevant data, the office manager can make an informed decision about the underlying causes of the call issues and take appropriate actions to improve customer service without immediately resorting to retirement or termination.

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The answer is,

\(5 - \frac{4(2.5n - 2)}{5} \)

Without specific data on the number of students who prefer each option, we cannot calculate the probability.

To determine the probability that a student prefers the zoo or the water park, we need to know the total number of students and the number of students who prefer each option. Without this information, it is not possible to calculate the probability accurately.

To calculate the probability, we would need to divide the number of students who prefer the zoo or the water park by the total number of students. For example, if there are 50 students in total and 30 prefer the zoo and 20 prefer the water park, the probability would be:

P(prefer zoo or water park) = (30 + 20) / 50 = 50 / 50 = 1

However, without specific data on the number of students who prefer each option, we cannot calculate the probability.

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The true statements are (b), (d) and (e)

From the function, we have the following piecewise function and the domains

D(t) = 300t + 125, 0 ≤ t < 2.5

D(t) = 875, 2.5 ≤ t ≤ 3.5

D(t) = 75t + 612.5, 3.5 < t ≤ 6

When t = 2, we use the domain 0 ≤ t < 2.5

So, we have

D(2) = 300 * 2 + 125

Evaluate the product

D(2) = 600 + 125

Evaluate the sum

D(2) = 725 --- this is true

When t = 3, we use the domain 2.5 ≤ t ≤ 3.5

So, we have

D(t) = 875

This gives

D(3) = 875 -- this is true

When t = 6, we use the domain 3.5 < t ≤ 6

So, we have

D(t) = 75t + 612.5

This gives

D(6) = 75* 6 + 612.5

Evaluate the product

D(6) = 450 + 612.5

Evaluate the sum

D(6) = 1062.5 --- this is true

Hence, the true statements are (b), (d) and (e)

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Complete question

Select three options. The starting distance, at 0 hours, is 300 miles. At 2 hours, the traveler is 725 miles from home. At 2.5 hours, the traveler is still moving farther from home. At 3 hours, the distance is constant, at 875 miles. The total distance from home after 6 hours is 1,062.5 miles.

Answer:

At 2 hours, the traveler is 725 miles from home.

At 3 hours, the distance is constant, at 875 miles.

The total distance from home after 6 hours is 1,062.5 miles.

Step-by-step explanation:

There is only one way to find out the third side in a triangle with the given two sides.

Triangle is a shape composed of three sides. Each side may have the same length or different lengths. To find out the length of one of the sides of a triangle, there are at least two things that you need to know:

The length of the other two sides. Angles with at least one known number.

If a triangle is a right triangle, Pythagoras Theorem can only be used to determine the third side if only the first two sides of the triangle are known, but that's only because a right triangle always has one 90° angle.

a² + b² = c²

where,

a, b are two given sides

From the formula of base of an isosceles triangle, if we know the side length and height, we can find the base of the triangle.

b = 2√(a² - h²)

where,

a is the length of the side

h is the height

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Answer:

i. Angela is wrong. Because the diameter of the wheel is not the distance covered all the way round.

ii. The time is 3.14 seconds.

Step-by-step explanation:

The font wheel has a diameter of 10 inches. Thus;

radius = \(\frac{diameter}{2}\)

           = \(\frac{10}{2}\)

           = 5 inches

Circumference of a circle = 2\(\pi\)r

⇒ The circumference of the front wheel = 2\(\pi\)r

                          = 2 x \(\frac{22}{7}\) x 5

                          = 31.4286

The circumference of the front wheel is 31.43 inches.

The total distance to be covered by the mantis = circumference of the front wheel

                                        = 31.43 inches

But,

speed = \(\frac{distance}{time}\)

The scooter moves with a speed of 10 inches per second, so that;

10 = \(\frac{31.43}{time}\)

⇒ time = \(\frac{31.43}{10}\)

            = 3.143 s

The time taken to complete a revolution by the mantis is 3.14 seconds.

Therefore,

i. Angela is wrong. Because the diameter of the wheel is not the distance covered all the way round.

ii. The time is 3.14 seconds.

Answer:

0.0062

Step-by-step explanation:

Given that:

Mean (μ) = 72 inches, Standard deviation (σ) = 1.2 inches.

The z score is a measure in statistics is used to determine by how many standard deviation the raw score is above or below the mean. If the raw score is above the mean, the z score is positive and if the raw score is below the mean, the z score is negative.

The z score is given as:

\(z=\frac{x-\mu}{\sigma}\)

For Clydesdale is greater than 75 inches tall, x = 75 inches, the z score is:

\(z=\frac{x-\mu}{\sigma}=\frac{75-72}{1.2} =2.5\)

The probability that a Clydesdale is greater than 75 inches tall = P(X > 75) = P(Z > 2.5) = 1 - P(Z < 2.5) = 1 - 0.9938 = 0.0062 = 0.62%

The probability that a Clydesdale is greater than 75 inches tall is 0.62%

Answer:

Below!

Step-by-step explanation:

First you can find the area of the triangular shape using A = bh /2

A = (12)(5.8) / 2

   = 34.8 km^2

Now you can just multiply this area by the length of the prism

V = Area x height

   = (34.8)(10)

   = 348 km^3

Hope this helps! Best of luck <3

Answer:

17.2 hours, or 17 hours and 12 minutes

Step-by-step explanation:

If she reads 50 pages per hour, then 860/50 = 17.2

Answer:

.196349554084, or approximately .19

Step-by-step explanation:

Area of Circle: Pi(r^2)

Area of Square: L x W

Square: 28 x 28 = 784

Circle: Pi(7^2) = 153. 938040026

153. 938040026 divided by 784 is .196349554084, or approximately .19

Slope = 3

y intercept = 4

========================================================

Explanation:

Let's find the slope.

\(m = \text{slope}\\\\m=\frac{\text{rise}}{\text{run}}\\\\m = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{7-4}{1-0}\\\\m = \frac{3}{1}\\\\m = 3\)

The slope is m = 3.

The y intercept is b = 4 due to the point (0,4). The y intercept always occurs when x = 0.

We'll then plug those m and b values into y = mx+b to get the answer y = 3x+4

-----------

As a way to check the answer, plugging x = 0 should lead to y = 4

y = 3x+4

y = 3*0+4

y = 0+4

y = 4

So that works out. Let's try x = 1. It should produce y = 7

y = 3x+4

y = 3*1+4

y = 3+4

y = 7

That works out also. The answer is fully confirmed.

Answer:

\(a=\sqrt{6},\:a=-\sqrt{6}\)

Step-by-step explanation:

Given

as

\(\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\)

so

\(a^2=6\)

\(a=\sqrt{b},\:a=-\sqrt{b}\)

Therefore,

\(a=\sqrt{6},\:a=-\sqrt{6}\)

Answer:

lal

Step-by-step explanation:

ap3x

The area of square abcd is  be parallel lines passing through $a$, $b$, $c$, respectively is the 433.

Squares are quadrilaterals with four congruent aspects and four proper angles, and additionally they have units of parallel aspects. Parallelograms are quadrilaterals with units of parallel aspects. Since squares have to be quadrilaterals with units of parallel aspects, then all squares are parallelograms.

Here we have the values the distance between lines a and b is 12, and the distance between lines b and c is 17.

The distance is 12 and 17

x^2 = 12^2 + 17^2 = 144 +289 = 433

433 is the total that is the area of square of abcd.

Thus the area = 433.

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Answer: the height of this triangle is 55.4 mm

Step-by-step explanation:

\(\displaystyle\\Area\ of\ a\ triangle:\ A =\ \frac{ah}{2} \\\\Hence,\\\)

Multiply both parts of the equation by 2:

\(2A=ah\)

Divide both parts of the equation by a:

\(\displaystyle\\\frac{2A}{a} =h\\\\Thus,\ h=\frac{2A}{a} \\\\h=\frac{2(227.14)}{8.2} \\\\h=\frac{454.28}{8,2} \\\\h=55.4\ mm\)

Answer:

25 + 7x

Step-by-step explanation:

4 + 7(x + 3)

First, Distribute the Values

4 + 7x + 21

Now, Combine like terms

4 + 21 + 7x

25 + 7x

Answer:

Step-by-step explanation:

In the arithmetic sequence \(t_1\), \(t_2\), \(t_3\), ..., \(t_n\), \(t_1=23\) and \(t_n= t_{n-1} - 3\) for each n > 1. What is the value of n when \(t_n = -4\)?

A. -1

B. 7

C. 10

D. 14

E. 20

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_________________

Best Regards,

E.

MGMAT 1 --> 530

MGMAT 2--> 640

MGMAT 3 ---> 610

GMAT ==> 730

Answer:

4 + 3(n-1)

Step-by-step explanation:

Sequences start from n=1,2,3....

In this case

4 + 3(1-1)= 4

4 + 3(2-1) =7

And continue the pattern

Answer: six minutes

Step-by-step explanation: 8 / 4 = 2 , 3 x 2 = 6

9514 1404 393

Answer:

  1 11/12

Step-by-step explanation:

  \(\dfrac{1}{6}+\dfrac{7}{4}=\dfrac{2}{12}+\dfrac{21}{12}=\dfrac{2+21}{12}\\\\=\boxed{\dfrac{23}{12}=1\dfrac{11}{12}}\)

Answer:

It's a linear function.

Answer:

8-2\(x^{2}\)

Step-by-step explanation:

Answer:

\(8 - |7 - 9| {x}^{3} \\ 8 - | - 2| {x}^{3} \\ 8 - 2 {x}^{3} \\ thank \: you\)

Applying the linear angles theorem, the measures of the larger angles are: 130 degrees.

The measures of the smaller angles are 50 degrees

Based on the linear angles theorem, we have the following equation which we will use to find the value of y:

3y + 11 + 10y = 180

Add like terms

13y + 11 = 180

Subtract 11 from both sides

13y + 11 - 11 = 180 - 11

13y = 169

13y/13 = 169/13

y = 13

Plug in the value of y

3y + 11 = 3(13) + 11 = 50 degrees

10y = 10(13) = 130 degrees.

Therefore, applying the linear angles theorem, the measures of the larger angles are: 130 degrees.

The measures of the smaller angles are 50 degrees.

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Answer:

75 cu in

Step-by-step explanation:

the formula for volume is V = l w h (volume equals length times width times height) and can also be written V = B h (volume equals the area of the base times the height). Notice that the version, V = l w h is only true for rectangular prisms and cubes.

V = L x W x H

V = 5 x 5 x 3

V = 75

Answer: 75 in³

Step-by-step explanation:

    We will use the given formula to solve for volume by substituting and multiplying.

V = LWH

V = (5 in)(5 in)(3 in)

V = 75 in³

The solution to this system of linear equations y - x = 6 and y + x = -10 is (-8, -2).

y - x = 6

⇒y = x + 6

y + x = -10

⇒y = - x - 10

Since both equations are equal to y, equate them.

x + 6 = - x - 10

x + x = - 10 - 6

2x = - 16

Divide both sides by 2

x = -8

Put the value of x in either of the equations

y - x = 6

y - (-8) = 6

y + 8 = 6

y = 6 - 8

y = - 2

Therefore, the solution to the system of linear equations is (-8, -2).

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The sample range, denoted as r, is defined as the difference between the maximum value and the minimum value in a sample. It must always be true that the sample range is greater than or equal to zero.

The sample range is a measure of the dispersion or spread of a set of data points in a sample. It is calculated as the difference between the maximum value and the minimum value in the sample.

By definition, the maximum value in the sample cannot be smaller than the minimum value. This means that the difference between these two values will always be greater than or equal to zero. Therefore, the sample range will always be greater than or equal to zero.

A sample range of zero indicates that all the values in the sample are the same, resulting in no variation or spread. On the other hand, a positive sample range indicates that there is variation in the data, with the extent of the variation increasing as the range becomes larger.

In conclusion, it is always true that the sample range (r) is greater than or equal to zero, as the minimum value cannot exceed the maximum value in the sample.

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Answer:

Hope this helps you .....

Answer:

\(v=\frac{145}{8}\)

Step-by-step explanation

\(\frac{5}{v}=\frac{2}{7.25}\)

\(\frac{5}{v}=\frac{2}{\frac{725}{100}}\)

\(v=\frac{2}{\frac{5^2*29}{2^2*5^2}}\)

\(v=\frac{145}{8}\)