the mean of three numbers is 1010 more than the least of the numbers and 1515 less than the greatest. the median of the three numbers is 55. what is their sum?

Answer:

Volume is very easy juts use this formula to help you.

Formual= L × W × H

Formula = 7 × 8 × 4

Answer 7 × 8 × 4 = 224

( BTW when solving for volume ur always gonna use multiplication and this formula)

Answer:

u ≤ 15

Step-by-step explanation:

=> u/3 ≤ 5

Multiplying both sides by 3

=> 3×u/3 ≤ 5 ×3

=> u ≤ 15

j = 13

7×j = 91

j = 91 : 7

j = 13

Therefore, the due date of the note is August 9 adding the number of days in the note's term to the note's date adding the number of days in the note's term to the note's date.

To determine the due date of the note, we need to add the number of days in the note's term to the note's date.

Given:

Note term: 120 days

Note date: April 9

To find the due date, we add 120 days to April 9.

April has 30 days, so we can calculate the due date as follows:

April 9 + 120 days = April 9 + 4 months = August 9

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Answer:

x=2

Step-by-step explanation:

Answer:

5.5 pounds

Step-by-step explanation:

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4 | . . . . .

5 | . . . . . .

6 | . . . . .

7 | . .

From the dot plot, we can see that there is one outlier in the dataset, with a weight of 47 pounds.

To answer the statistical question, "What is the weight of a typical kitten?" we need to determine a measure of central tendency that represents the typical weight of the kittens. However, because there is an outlier in the dataset, the mean is not a good measure of central tendency to use in this case. This is because the outlier is significantly larger than the other values in the dataset and would skew the mean towards a higher value.

Instead, we can use the median as a measure of central tendency for this dataset. The median is the middle value when the data is arranged in order. In this case, the median is 5.5 pounds, which represents a typical weight for a kitten in this dataset, since it is not affected by the outlier.

Answer:

10

Step-by-step explanation:

For movie mania:

Sign-up fee = $ 20

Rent for 1 DVD = $ 4.00

For Hurricane video:

Sign-up fee = 0

Rent of 1 DVD = $ 6.

Let \(n\) be the number of DVDs to rent in order for both stores to charge the same.

For movie mania, charge to rent \(n\) DVDs = Sign-up fee + rent of \(n\) DVDs

=20+4n

For Hurricane movie, charge to rent \(n\) DVDs = Sign-up fee + rent of \(n\) DVDs

=0+6n=6n

Now, for both stores to charge the same, both the charges must be equal, we have

6n=20+4n

\(\Rightarrow 6n-4n=20\)

\(\Righatarroe 2n=20\)

\(\Rightarrow n =20/2=10\)

Hence, the required number of DVDs to rent is 10 in order for both stores to charge the same.

Answer:

the second one

Step-by-step explanation:

The expected value of the "Buy New" option is 724732.60.

Decision Tree:

To solve the given problem, the first step is to create a decision tree. The decision tree for the given problem is shown below:

Expected Value Calculation: The expected value of the "Buy New" option can be calculated using the following formula:

Expected Value = (Prob. of Prosperity * Payoff for Prosperity) + (Prob. of Recession * Payoff for Recession)

Substituting the given values in the above formula, we get:

Expected Value for "Buy New" = (0.7 * 1,035,332) + (0.3 * -150,000)Expected Value for "Buy New" = 724,732.60

Therefore, the expected value of the "Buy New" option is 724,732.60.

Conclusion:

To conclude, the decision tree is an effective tool used in decision making, especially when the consequences of different decisions are unclear. It helps individuals understand the costs and benefits of different choices and decide the best possible action based on their preferences and probabilities.

The expected value of the "Buy New" option is 724,732.60.

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Answer:

True.

Step-by-step explanation:

That is exactly what a perimeter is. Hope this helps

Answer:

1.    slope:3/4

         y-int: (0,-3,2)

2.         slope: -5/8

                y-int: (0,-1/8)

Step-by-step explanation:

Answer:

Point Form: (1,−3/4)

Equation Form: x=1, y= −3/4

Step-by-step explanation:

Solve for x in the first equation.

x=2+4y/3

5x+8y=−1

Replace all occurrences of x with 2+4y/3 in each equation.

10+44y/3=−1

x=2+4y/3

Solve for y in the first equation.

y=−3/4

x=2+4y/3

Replace all occurrences of y with −3/4 in each equation.

x=1

y=−3/4

Answer:

36 ft

Step-by-step explanation:

Answer:

-1.25

Step-by-step explanation:

The change in position for x is -5, the change in position for y is 4, -5/4 = -1.25

The slope of the line passing through the given points (-1, -11) and (-6, -7) is equal to \(\frac{-4}{5}\).

Given the following points:

To find the slope of the line passing through the given points (-1, -11) and (-6, -7):

The slope of a line refers to the gradient of a line and it is typically used to describe both the direction and steepness of an equation of a straight line.

Mathematically, the slope of a line is given by the formula;

\(Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}\)

Substituting the given points into the formula, we have;

\(Slope. \;m = \frac{-7 - [-11]}{-6 - [-1]}\\\\Slope. \;m = \frac{-7\; + \;11}{-6+1}\\\\Slope. \;m = \frac{4}{-5}\)

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Answer:

19

10+9=19

Step-by-step explanation:

Hi

The answer is = 9+10= 19

Answer:

900

Step-by-step explanation:

because 14132.77/14.5%

For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}, the process is still "in order," while for the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}, the process might be "out of order."

To determine whether the process is still "in order" or "out of order," we can compare the current sample of output to the known mean and standard deviation of the process.

For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}:

Calculate the sample mean by summing up all the values in the sample and dividing by the number of values (n = 10):

Sample mean = (2.038 + 2.054 + 2.053 + 2.055 + 2.059 + 2.059 + 2.009 + 2.042 + 2.053 + 2.047) / 10 = 2.048.

Compare the sample mean to the known process mean (2.050):

The sample mean (2.048) is very close to the process mean (2.050), indicating that the process is still "in order."

Calculate the sample standard deviation using the formula:

Sample standard deviation = sqrt(sum((x - mean)^2) / (n - 1))

Using the formula with the sample values, we find the sample standard deviation to be approximately 0.019 liters.

Compare the sample standard deviation to the known process standard deviation (0.020):

The sample standard deviation (0.019) is very close to the process standard deviation (0.020), further supporting that the process is still "in order."

For the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}:

Calculate the sample mean:

Sample mean = (2.022 + 1.997 + 2.044 + 2.044 + 2.032 + 2.045 + 2.045 + 2.047 + 2.030 + 2.044) / 10 ≈ 2.034

Compare the sample mean to the process mean (2.050):

The sample mean (2.034) is noticeably different from the process mean (2.050), indicating that the process might be "out of order."

Calculate the sample standard deviation:

The sample standard deviation is approximately 0.019 liters.

Compare the sample standard deviation to the process standard deviation (0.020):

The sample standard deviation (0.019) is similar to the process standard deviation (0.020), suggesting that the process is still "in order" in terms of variation.

In summary, for the first sample, the process is still "in order" as both the sample mean and sample standard deviation are close to the known process values.

However, for the second sample, the difference in the sample mean suggests that the process might be "out of order," even though the sample standard deviation remains within an acceptable range.

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To find the horizontal distance between the submarine and the airplane, we can use trigonometry.

Given:

Elevation angle = 30 degrees

Altitude of the airplane = 2000 feet

Let's denote the horizontal distance between the submarine and the airplane as 'd'.

Using trigonometry, we can set up the following relationship:

tan(30 degrees) = Altitude / Horizontal distance

tan(30 degrees) = 2000 / d

We can now solve for 'd' by isolating it:

d = 2000 / tan(30 degrees)

Using a calculator, we can calculate the value of tan(30 degrees) and then find the value of 'd'.

d ≈ 3464.102 (rounded to the nearest foot)

Therefore, the horizontal distance between the submarine and the airplane is approximately 3464 feet.

The correct answer is option a. 3464 feet.

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Answer:

Step-by-step explanation:

12

Answer:

50 ml

Step-by-step explanation:

50ml

The rate of constant for the above-given first-order reaction is b.) 8.77 × 10–3 h–1.

The half-life of a first-order reaction can be calculated using the equation t1/2 = ln(2)/k, where t1/2 is the half-life and k is the rate constant.

In this case, we know that the reaction goes to half completion in 79 hours. Therefore, the half-life is also 79 hours.

Plugging this into the equation, we get:

79 = ln(2)/k

Solving for k, we get:

k = ln(2)/79

Using a calculator, we can evaluate this expression to get:

k = 8.77 × 10–3 h–1

Therefore, the correct answer is b) 8.77 × 10–3 h–1.

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From the given picture, we can note that

Similarly,

In the same way, we have

and finally,

Answer:

\(3^0 = 1\)

Step-by-step explanation:

\(a^0 =1 ,~~ a \neq 0\)

The coordinates of P are (x, y) = (3, 7).Hence, the required coordinates of the point P are (3, 7).Given that the glide reflection determined by the slide arrow OẢ, where O is the origin and A(0,2), and the line of reflection is the y-axis.

The maxima and minima of a function are its maximum and minimum points within or across a certain range, and these points are collectively referred to as extrema in mathematical analysis. The highest value of the variable. The maximum amount, level, etc. The variable can only take a maximum of 2. Maximum refers to a peak (plural maxima). The lowest position is referred to as minimal (multiple minimum). Extremum is a phrase for the greatest or least of anything (multi-extremum). Local maxima (or minima) are used if there are better (or worse) sites available elsewhere but they are not nearby.

Now, we need to find the image of any point (x, y) under this glide reflection in terms of x and y.

a) Image of any point (x, y) under this glide reflection is given by,(x, y) → (x′, y′)= reflection(y-axis) [ translation(OA) (reflection(y-axis))]

Now, reflecting the point (x, y) on y-axis, we get(-x, y).

Now, translating the point (-x, y) by the distance vector OA, we get(x - 0, y - 2) = (x, y - 2)

Therefore, the image of any point (x, y) under this glide reflection is (x, y) → (x, y - 2)

b) Given that (3, 5) is the image of a point P under the glide reflection. We need to find the coordinates of P.

Now, we know that the image of any point (x, y) under this glide reflection is (x, y) → (x, y - 2)So, (x, y - 2) → (3, 5)On comparing the x-coordinates, we getx = 3On comparing the y-coordinates, we gety - 2 = 5⟹ y = 7

Therefore, the coordinates of P are (x, y) = (3, 7).Hence, the required coordinates of the point P are (3, 7).

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There is only one solution when you solve the system of equations 2x+y=7 and y=-2x+7. The one solutions is (2, 3).

To find the solution, you can use the substitution method. This involves solving one equation for one variable and then substituting that expression into the other equation.

First, solve the second equation for y:
y = -2x + 7

Now, substitute this expression for y into the first equation:
2x + (-2x + 7) = 7

Simplify the equation:
2x - 2x + 7 = 7

Combine like terms:
7 = 7

This equation is always true, which means that there is only one solution for this system of equations. The solution is the point where the two lines intersect, which is (2, 3).

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In the "new normal of learning," models such as the point, line, and plane play crucial roles. They represent fundamental concepts, facilitate visualizations, and enable the understanding of spatial relationships in various subjects.

In the "new normal of learning," where online education and virtual platforms are more prevalent, models like the point, line, and plane are still essential. These geometric concepts provide a foundation for understanding spatial relationships, whether it's in mathematics, physics, computer science, or even art and design.

Points represent single locations, lines connect points and represent paths or trajectories, and planes define flat surfaces. These models allow learners to visualize and manipulate abstract ideas, facilitating comprehension and problem-solving.

In virtual learning environments, interactive tools can be used to create and explore these models, enhancing engagement and fostering a deeper understanding of the subject matter. Thus, these geometric models remain relevant and important in the "new normal of learning."

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Answer: points

Jjj

Step-by-step explanation:

Answer:

58 + 60

Step-by-step explanation:

Even integers are always seperated by 2.

The extreme points of the region are (0, 0, 5), (0, 3, 0), (2, 0, 3), (5, 0, 0). To find the extreme points, we need to set each variable to its maximum or minimum value while satisfying all the given constraints.

Step 1: To find the extreme points, we need to set each variable to its maximum or minimum value while satisfying all the given constraints.

Step 2: From the first constraint, X3 can take a maximum value of 5.

Step 3: From the second constraint, X2 can take a maximum value of 3.

Step 4: From the third constraint, X1 can take a maximum value of 5.

Step 5: Therefore, the extreme points of the region are (0, 0, 5), (0, 3, 0), (2, 0, 3), (5, 0, 0).

The extreme points of the region are (0, 0, 5), (0, 3, 0), (2, 0, 3), (5, 0, 0).

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Answer:

A. 1/2

Step-by-step explanation:

rise over run

up 1, to the right 2

Answer: 8

Step-by-step explanation: Because a is perpendicular to b, the value of 9x + 18 = 90.  If we subtract 18 from both sides, it becomes 9x = 72.  Divide by 9 on both sides to get 8