Sunset travel pays its boys $10 per hour plus 8% commission on all trips booked. Trey worked 20 hours last week and booked trips amounting to $2100. What was his gross pay?

The two possible locations of point B on the number line are 0.1 and 1.1.

A number line is a graphic depiction of numbers organized in a straight line in mathematics. Positive numbers appear to the right of zero and negative numbers to the left of zero when it is displayed horizontally. At the line's intersection, the number zero serves as a standard against which other numbers' magnitudes can be measured.

Many forms of numbers, including whole numbers, integers, fractions, decimals, and even irrational numbers, can be represented on a number line. The distance between any two points on the number line, which stands for the difference between any two matching numbers, corresponds to a distinct number.

Number lines are frequently used to graph functions and equations as well as to execute basic arithmetic operations including addition, subtraction, multiplication, and division. They are also helpful for comprehending ideas like magnitude, distance, and absolute value.

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Answer:

cosA = \(\frac{5}{13}\)

Step-by-step explanation:

cosA = \(\frac{adjacent}{hypotenuse}\) = \(\frac{AC}{AB}\) = \(\frac{5}{13}\)

The right answer is B. It is not applicable when data are continuous, is not a characteristic of the standard deviation.

The statement "It is not applicable when data are continuous" is not a characteristic of the standard deviation.

The standard deviation is a measure of the dispersion or variability of a dataset. It quantifies how spread out the values are from the mean. Explanation for other parts are as follows:

A. It can be calculated when the data contain negative or zero values:

This is true. The standard deviation can be calculated for datasets that contain negative or zero values. It considers the deviations from the mean, regardless of their sign.

C. It is always the square root of the variance:

This is true. A quadrilateral with exactly two sets of congruent following sides is called a kite. The variance is the average of the squared deviations from the mean.

D. Its physical interpretation is not as easy as the MAD:

This is a subjective statement. The physical interpretation of the standard deviation depends on the context and the familiarity of the user with the concept. However, it is often considered a more widely used and understood measure of dispersion compared to the Mean Absolute Deviation (MAD).

The statement "It is not applicable when data are continuous" is incorrect. The standard deviation can be calculated for both discrete and continuous data. The other options provided (A, C, and D) correctly describe characteristics of the standard deviation.

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Answer:

The first answer is correct:

\(\{\frac{1}{3},-3.45,\sqrt{9}\}\)

Step-by-step explanation:

Since \(\frac{1}{3}, -3.45, \sqrt{9}=3\) are all rational numbers, the set that contains those numbers is the set of rational numbers.

In the second set, number \(\sqrt{37}\) is irrational number since it can not be written as quotient.

Also in the third and fourth set, numbers \(\sqrt{44}\) and \(\sqrt{2}\) are irrational numbers.

Therefore, the first answer is correct.

Answer:

890/3 thats the anwser

Step-by-step explanation:

Answer:

The solution to the equation "blank divided by 4 equals -5" is blank = -20.

Step-by-step explanation:

To see why, we can use the inverse operation to isolate the variable (blank) on one side of the equation. Since the variable is being divided by 4, we can multiply both sides of the equation by 4:

blank/4 = -5

4 * (blank/4) = 4 * (-5)

blank = -20

Answer:

y=-1/4x+1

Step-by-step explanation:

The perpendicular equations slope is the negative reciprocal of the other lines, so if I had 2 as a slope, the perpendicular line's slope would be -1/2, I think. Then you just use the found slope and the given point to solve for b, then use the b value you get for the final equation.

The result of an average of more than 100% in a survey of tenants on cleaning chores in shared apartments is likely due to social desirability bias.

The average tenant response of more than 100% in a study about cleaning duties in shared apartments is probably the product of social desirability bias. Social desirability bias occurs when respondents give answers that they think are socially acceptable or desirable, rather than their true opinions or behavior.

In this case, tenants may have overstated their contribution to cleaning the apartment, in order to appear more helpful or responsible, leading to an average percentage higher than 100%.

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The decimal value of the 2 in the hexadecimal number F42AC16 is 131,072.

To determine the decimal value of the 2 in the hexadecimal number F42AC16, we need to understand the positional value system of hexadecimal numbers. In hexadecimal, each digit represents a power of 16. The rightmost digit has a positional value of 16^0, the next digit to the left has a positional value of 16^1, the next digit has a positional value of 16^2, and so on.

In the given hexadecimal number F42AC16, the 2 is the fifth digit from the right. Its positional value is 16^4. Calculating the decimal value: 2 * 16^4 = 2 * 65536 = 131,072. Therefore, the decimal value of the 2 in the hexadecimal number F42AC16 is 131,072.  None of the provided options (a) 409610, b) 51210, c) 25610, d) 210) matches the correct decimal value of 131,072.

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3 cm 3 mm = 3.3 cm, 2 cm 5 mm = 2.5 cm, 4 cm 5mm = 4.5cm

The combined heights of the boxes are 3.3 + 2.5 + 4.5 = 10.3(cm)

-> There is 35 - 10.3 = 24.7(cm) above the boxes in the drawer left.

Answer:

30.2083 square feet

Step-by-step explanation:

Answer:

Yes it looks correct but that is just me

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

This is the correct solution.

5 + 14a = 9a -5

14a - 9a = -5 -5

5a = -10

a=-10/5 = -2

Therefore, a = -2

The graph of the change in Cmax is (see in attachments).

Cmax  Change in Cmax  predicted percentage

2.34                         29.5 22.96%

2.46                 40.7         20.62%

1.87                         5.3         32.14%

3.09                23.3          8.32%

5.59               -45.1     -40.47%

4.05                     -35.3        -10.42%

6.21                      -44.6        -52.58%

2.34                       29.5          22.96%

Graph:

A graph is a logical visual representation of any data in mathematics. The correlation between the variable values is depicted on the graph. A graph is used in graph theory to depict a group of items that are interconnected in some way. In essence, the vertices or nodes of the objects are mathematical notions, and the edges are representations of the connections between the nodes. In mathematics and statistics, many graph types are used to visually display data. The study of points and lines is the focus of the field of graph theory. It is a branch of mathematics with a focus on graph analysis. The mathematical truth is visually illustrated in this image. Relationships are studied using the graph theory.

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Answer:

$43

Step-by-step explanation:

Given the question :

Write the integer that represents the situation Chloe spent $43 and now has no money left. She had ___ before her purchase She had $__ before her purchase

Amount spent by Chloe = $43

Amount left after Chloe's spending = $0

Hence, the amount Chloe had before her purchase:

Amount spent + amount left after making purchases

$43 + $0 = $43

Answer:

neither; they'll reach the floor at the same time

Step-by-step explanation:

When the spheres are then rolled off a horizontal table at the same time with the same speed and both will fall simultaneously to the floor.  

A free-falling object is an object that is falling under the sole influence of gravity. Any object that is being acted upon only by the force of gravity is said to be in a state of free fall.

Since the gravitational accereration acting on any body is constant and does not depend upon the mass of the body.

So a blue sphere and a red sphere with the same diameter will fall simultaneously on the floor under the influence of the gravity.

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The given expression, \(d(n)d(n)d(n)\), represents the duration in seconds for Hailey to run her \(n^{th}\) lap. The specific values provided, 333, 777, 999, correspond to the durations of the 3rd, 7th, and 9th laps, respectively. The values 858585, 999999, and 110110110 are unrelated and do not provide any additional information about lap durations.

The expression \(d(n)d(n)d(n)\) suggests that each lap duration is represented by the function \(d(n)\), where \(n\) denotes the lap number. The specific values given (333, 777, 999) correspond to the 3rd, 7th, and 9th laps, respectively. However, the remaining values (858585, 999999, 110110110) do not appear to have a direct connection to the lap durations or the function \(d(n)\).

Without further information or a specific pattern, it is difficult to interpret the significance of the remaining values. It's important to note that more context or information about the pattern or relationship between the values would be necessary to provide a more detailed explanation or analysis.

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Answer:

-0.71

Step-by-step explanation:

Write in exponent form.

   \(\sqrt[a]{7^b}=7^{\frac{b}{a}}\\\\\\ \sqrt[4]{7^9}=7^{\frac{9}{4}}\)

Use law of exponents to simplify the equation.

         \(\boxed{a^m * a^n = a^{m+n} \ and \ \dfrac{a^m}{a^n}=a^{m-n}}\)

\(\sf 7^{\frac{13}{4}}*\sqrt[a]{7^b} =7^{\frac{2}{7}}*\sqrt[4]{7^9}\\\\ 7^{\frac{13}{4}}*7^{\frac{b}{a}}=7^{\frac{2}{7}}*7^{\frac{9}{4}}}\\\\7^{\frac{b}{a}}}= \dfrac{ 7^{\frac{2}{7}}*7^{\frac{9}{4}} }{7^{\frac{13}{4}}}\)

     \(=7^{\frac{2}{7}+\frac{9}{4}-\frac{13}{4}}\\\\=7^{\frac{-5}{7}}\\\\=7^{-0.71}\)

Answer:

number 3

Step-by-step explanation:

as if you subract the two values that should be the answer.

Thus, with 95% confidence that at least 90% of the values in a normal distribution fall within the tolerance interval of mean +/- 0.10.

We can use a standard normal distribution table to find the critical values, which is the z-score that corresponds to the given confidence level. For a 95% confidence level, the critical value is 1.96.

Next, we need to find the standard deviation of the normal distribution. We can use the formula:
tolerance interval = mean +/- z * (standard deviation / sqrt(n))

where mean is the mean of the distribution, z is the critical value, standard deviation is the standard deviation of the distribution, and n is the sample size. Since we don't have a sample size, we can assume a large sample size and use the population standard deviation instead.

Assuming a population standard deviation of 1, the tolerance interval is:
tolerance interval = mean +/- 1.96 * (1 / √(n))

To capture at least 90% of the values, we need to set the tolerance interval to be equal to 90%.
0.90 = 1.96 * (1 / √(n))

Solving for n, we get:
n = (1.96 / 0.10)^2
n = 384.16

Since we assumed a large sample size, we can round up to the nearest integer, which gives us a sample size of 385.

The tolerance interval for capturing at least 90% of the values in a normal distribution with a confidence level of 95% and a sample size of 385 is:
tolerance interval = mean +/- 1.96 * (1 / √t(385))

This can be simplified to:
tolerance interval = mean +/- 0.10

Therefore, we can say with 95% confidence that at least 90% of the values in a normal distribution fall within the tolerance interval of mean +/- 0.10.

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Answer: 620≥ 427.57+ 11.38(4)+ (31.41) +57.75x

Step-by-step explanation:

So our limit is the 620$ that he has to spend. We know for a fact that the bike costs about 427.57 dollars. 4  $11.38 reflectors are purchased as well as gloves for 31.41.  Now however many outfits he can purchase cannot exceed or go over his money limit of 620 so the variable (x) represents how many outfits he can buy without going over.

We are required to write an inequality for the problem and also solve it

The number of biking outfit Ethan can purchase is 2

Given:

Total amount Ethan has = $620

Amount of bicycle = $427.57

Bicycle reflector = $11.38

Cost of 4 Bicycle reflector = $11.38 × 4

= $45.52

Cost of bike glove = $31.41

Cost of biking outfit = $57.75

Write an inequality to solve for the number of biking outfit Ethan can purchase

let

x = number of biking outfit Ethan can purchase

620 ≥ 427.57 + 45.52 + 31.41 + 57.75x

620 ≥ 504.5 + 57.75x

620 - 504.5 ≥ 57.75x

115.5 ≥ 57.75x

x ≥ 115.5 / 57.75

x ≥ 2

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The processing fee for the football tickets is $ 7.52.

Given, the tickets cost $ 94 and you will be charged a processing fee of 8 %.

We know that a percentage is a number or ratio that can be expressed as a fraction of 100.

To calculate the processing fee for the local team football tickets, we need to find 8% of the ticket cost, which is $ 94.

The calculation is as follows:

Processing fee = 8 % of $ 94

= 8 / 100 * $ 94

= 0.08 * $ 94

= $ 7.52

Therefore, the processing fee for the football tickets is $ 7.52.

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Answer:

x = 8

Step-by-step explanation:

Answer:

x=-8

Step-by-step explanation:

solve for x by simplifying both sided of the equation then isolating the variable

Answer:

486

Explanation:

(fg)(x) is equal to:

So, replacing f(x) = 2x² and g(x) = √x, we get:

Then, to evaluate for x = 9, we need to replace x by 9, so:

Therefore, the answer is 486.

The surface area of this locker is 432 square centimeters .

The right rectangular prism shown in the figure has dimensions 8 cm (length) x 6 cm (width) x 12 cm (height).

1. The top and bottom faces are both rectangles with dimensions 8 cm (length) x 6 cm (width). The area of each face is:

A = length x width = 8 x 6 = 48 cm²

Since there are two of these faces, the total area is:

2 x 48 = 96 cm²

2. The front and back faces are also rectangles with dimensions 8 cm (length) x 12 cm (height). The area of each face is:

A = length x height = 8 x 12 = 96 cm²

the total area is:

2 x 96 = 192 cm²

3. The left and right faces are rectangles with dimensions 6 cm (width) x 12 cm (height). The area of each face is:

A = width x height = 6 x 12 = 72 cm²

the total area is:

2 x 72 = 144 cm²

4. Therefore, the total surface area of the locker is the sum of all the faces:

Total surface area = 96 + 192 + 144 = 432 cm²

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A. The data does not support the claim that brand A cigarettes contain less than 3 milligrams of tar at the 5% significance level. The p-value is less than 0.05, indicating that the observed mean amount of tar is unlikely to have occurred by chance alone.

B. To determine whether the data supports the claim made by the makers of brand A cigarettes, the marketing-research analyst used a one-sample t-test.

The null hypothesis is that the mean amount of tar in brand A cigarettes is 3 milligrams or less. The alternative hypothesis is that the mean amount of tar in brand A cigarettes is greater than 3 milligrams.

The analyst randomly selected 60 cigarettes and found the mean amount of tar to be 2.75 milligrams with a standard deviation of 1.5 milligrams. Using a t-distribution with 59 degrees of freedom (60 - 1), the t-statistic is calculated as follows:

t = (2.75 - 3) / (1.5 / sqrt(60)) = -1.41

The p-value is the probability of observing a t-statistic as extreme as -1.41 or more extreme, given the null hypothesis. Using a t-distribution table or software, the p-value is found to be 0.084.

Since the p-value (0.084) is greater than the significance level of 0.05, we fail to reject the null hypothesis. Therefore, the data does not support the claim that brand A cigarettes contain less than 3 milligrams of tar at the 5% significance level.

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

Explanation:

I'm assuming you meant to say (a+y)^2 + 2y

Replace each copy of 'a' with 5. Replace each copy of 'y' with -3. Use PEMDAS to simplify.

(a+y)^2 + 2y

(5 + (-3))^2 + 2(-3)

(5-3)^2 + 2(-3)

(2)^2 + 2(-3)

4 + 2(-3)

4 - 6

-2

So (a+y)^2 + 2y = -2 when a = 5 and y = -3.

Answer:

13,452 is the value after 12 years

Step-by-step explanation: because

The scenario described above illustrates the Service Recovery Paradox, where a customer's satisfaction can actually increase after experiencing a service failure and receiving effective recovery efforts.

Dr. Amarkant Tripathi faced a delay and inconvenience with his suit order from B N Rao suits, but the store manager went above and beyond to rectify the situation, ultimately leading to Dr. Tripathi's increased satisfaction and loyalty.

The Service Recovery Paradox occurs when a customer's satisfaction and loyalty increase even after encountering a service failure. In the given context, Dr. Tripathi experienced a delay and fitting issue with his suit order. However, the store manager took prompt action to resolve the problem and ensure Dr. Tripathi's satisfaction.
Despite initial setbacks, the store manager exhibited proactive service recovery efforts. He communicated with Dr. Tripathi, apologized sincerely, and made efforts to rectify the situation promptly. The manager's willingness to listen, understand, and address the customer's concerns played a crucial role.
Furthermore, the store manager's personal involvement, contacting Dr. Tripathi's home, explaining the situation to his daughter, and arranging for the suit to be taken to the Domlur branch for repairs and express delivery showcased a high level of customer service and dedication to resolving the issue.
These service recovery efforts exceeded Dr. Tripathi's expectations and demonstrated B N Rao suits' commitment to customer satisfaction. As a result, when Dr. Tripathi received the suit, along with the apology note and additional handkerchiefs, he felt not only satisfied with the resolution but also impressed by the store's efforts to understand his needs and deliver a superior service experience.
The Service Recovery Paradox, in this case, highlights the importance of effective service recovery in building customer loyalty and turning a potentially negative experience into a positive one. B N Rao suits' commitment to resolving the issue and going the extra mile to deliver a satisfactory outcome ultimately strengthened the customer's trust and loyalty in the brand.

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weights =   pounds

Answer: Jackie has two puppies. One weighs 5 9/16 pounds and the other weighs 6 1/4 pounds. Find the difference in their weights.

Step-by-step explanation:

"DIFFERENCE" means to subtract their weights. We will subtract lesser amount from the greater amount to get our answer.

Also, we need to first make these mixed numbers into improper fractions by using the rule below:

If a number is given in this form:

We can do the operation below to make it improper fraction:

The bigger number is . So we subtract the other from this after changing to improper fraction.

and

Now, we subtract via doing LCM and get our answer: The difference in weight is 11/16 pounds

The expression (8^(5))/(8^(-9)) is simplified to 8^14. Option 3

Index form of a number can simply be described as that number written in the form of an exponential expression.

The number can also be written as a single number which is raised to another number.

Some rules of indices to note;

Given that;

(8^(5))/(8^(-9))

Then, we have;

8^5-(-9)

8^5+9

Add the powers

8^14

Hence, the value is 8^14

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