find three consecutive odd integers such that the sum of the last two is 15 less than 5 times the first​

The outliers of the given data seta are -

- 0.5 and 23.5

An outlier is an observation that lies an abnormal distance from other values in a random sample from a population.

Given is a dataset shown in the image.

Arrange the data in ascending order -

(6, 7, 8, 8, 9, 10, 10, 11, 12, 13, 13, 14, 15, 15, 15, 40)

(x₁, x₂, x₃, x₄, x₅, x₆, x₇, x₈, x₉, x₁₀, x₁₁, x₁₂, x₁₃, x₁₄, x₁₅, x₁₆)

First quartile -

Q{1} = (x₅ + x₄)/2 = (9 + 8)/2 = 8.5

Q{1} = 8.5

Third quartile -

Q{3} = (x₁₂ + x₁₃)/2 = (14 + 15)/2 = 14.5

Q{3} = 14.5

Interquartile range -

IQR = Q{3} - Q{1}

IQR = 14.5 - 8.5

IQR = 6

Outliers -

(numbers less than Q1 – 1.5 × IQR) = - 0.5

(numbers greater than Q3 + 1.5 × IQR) = 23.5

Therefore, the outliers of the given data seta are -

- 0.5 and 23.5

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Answer:

It would take Ms. Ponse 13 months to save up for the phone.

Step-by-step explanation:

If Ms. Ponse already has $150, then that would be the y-intercept (b) in the equation.

So, our equation so far is y = mx + 150

And since Ms. Ponse saves $50 per month, that would be the slope (m).

Now our equation would be y = 50x + 150

And we need to make our y equal to $799, since that's the goal for how much we need Ms. Ponse to save up.

799 = 50x + 150

We now need to solve for x.

x = # of months

799 = 50x + 150

  - 150           - 150

799 - 150 = 50x

           /50     /50

12.98 = x

And it's safe to assume that 12.98 isn't actually a number of a month, so we have to round up, meaning that it will take Ms. Ponse 13 months to buy the new iPhone.

In a post office, the mailboxes are numbered from 1 to 4,500. These numbers represent categorical data. The Option A is correct.

Categorical data refers to collection of data that is organized into categories. For instance, the data obtained when an organization or agency tries to collect the biodata of its employees is referred to as categorical data. Because the variables in the biodata, like sex, state of residence, etc., can be used to categorize the data, it is known as categorical data.

It is also regarded as a type of data that can be categorized or grouped using names or labels. Through a process known as matching, this grouping is typically created in accordance with the data characteristics and similarities of these characteristics.

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Answer:

y = 34

Step-by-step explanation:

Using the rule of radicals

\(\sqrt{a}\) × \(\sqrt{a}\) = a

Given

\(\sqrt{34}\) × \(\sqrt{y}\) = 34 , then

y = 34

Answer:

34

Step-by-step explanation:

Answer:

i dont know the answer but can i tell you what math is please dont get mad at me theres still someone who can give you the right answer

Step-by-step explanation:

Mental

Abuse

To

Humans

For an initial Bacteria population of 8000 to reach 12000 bacteria it will take almost 4 hours.

Bacterial culture growth is defined as an increase in the number of bacteria within a population rather than an increase in the size of individual cells. Bacterial population growth occurs geometrically or exponentially. In each cycle of division (generation), the cell develops into 2 cells, then 4 cells, then 8 cells, then 16 cells, then 32 cells. The time required for generation formation, generation time (G), can be calculated using the following formula:

G = 1/n = \(\frac{t}{3.3logb/B}\)

where B is the number of bacteria at the start of observation, b is the number of bacteria present after period t, and n is the number of generations. This relationship indicates that the average generation time is constant and the rate of bacterial population growth is proportional to the number of bacteria at any given time point. This relationship holds only during periods of exponential population growth called logarithmic growth.

According to the question:

2^(t/6) = 12000/8000 = 1.5

t = 6log1.5/log2

 = 3.6 hours

Round up, since in 4 hours it will double to 12,000.

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Answer:

im doing the same test

Step-by-step explanation:

Answer:

27cm

Step-by-step explanation:

\(s + s + s = p \\3x + x + x = 45 \\ 5x = 45 \\ \frac{5x}{5} = \frac{45}{5} \\ x = 9\)

That's the length of one of its legs

The length of the base = 3x

= 3 x 9

= 45cm

Answer:

\({ \tt{f(x) = 400 - 15x}} \\ { \boxed{ \tt{when \: f(x )\: is \: 50}}} \\ 400 - 15x = 50 \\ 15x = 400 - 50 \\ 15x = 350 \\ x = 23.3 \approx23 \: buckets \\ \\ { \underline{ \blue{ \tt{becker \: jnr}}}}\)

The probability that exactly 4 flights will arrive on time is 0.2508.

Answer:The probability that exactly 4 flights will arrive on time is 0.2508.The probability of a single flight arriving on time is 0.8. As a result, the probability of a single flight arriving late is 0.2. As a result, in a sample of 14 Southwest flights, the number of flights that arrive on time is represented by the random variable X, which follows a binomial distribution with n = 14 and p = 0.8.P(X = 4) = (14 C 4)(0.8)4(0.2)10= 1001 × 0.4096 × 0.00098= 0.4012%≈ 0.2508 (to 4 decimal places)The probability that exactly 4 flights will arrive on time is 0.2508. The 0.4096 in the formula is the probability that there will be 4 flights that arrive on time, while the (14 C 4) is the number of ways to pick 4 flights out of 14 flights without considering their sequence. The 0.00098 is the probability that there will be 10 flights that arrive late, assuming there are 4 flights that arrive on time.

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Answer:

Q₂ = 10

Step-by-step explanation:

Given data set:  3, 9, 12, 4, 6, 40, 25, 14, 10

Q₂ is the median (the middle value) of the given data set when the data set is ordered from smallest to largest.

Order the values in the data set:

3, 4, 6, 9, 10, 12, 14, 25, 40

As the number of values is odd, the middle value is the 5th value.

Therefore, the median (Q₂) of the given data set is 10.

If the number of data values is even, and therefore there are two middle values, the median is halfway between them.

The domain of a function is the set of x values for which it is defined. The range of the given graph will be -2≤x<7.

The domain of a function is the set of x values for which it is defined, whereas the range is the set of y values for which it is defined.

As it can be seen that the value on the y-axis is defined for every value of x between -2 to 7, also the value of x  is also defined for x=-2.

Hence, the range of the given graph will be -2≤x<7.

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Answer:

I think you are supposed to add the interior + exterior

Answer: B

Step-by-step explanation:

To develop the Branch and Bound (B&B) tree for the given problem, follow these steps:

1. Start with the initial B&B tree, where the root node represents the original problem.

2. Choose \($x_1$\) as the branching variable at node 0. Add two child nodes: one for

\($x_1 \leq \lfloor x_1 \rfloor$ \\(floor of $x_1$) and one for $x_1 \geq \lceil x_1 \rceil$ (ceiling of $x_1$).\)

3. At each node, perform the following steps:

  - Solve the relaxed linear programming (LP) problem for the node, ignoring the integer constraints.

  - If the LP solution is infeasible or the objective value is lower than the current best solution, prune the node and its subtree.

  - If the LP solution is integer, update the current best solution if the objective value is higher.

  - If the LP solution is non-integer, choose the fractional variable with the largest absolute difference from its rounded value as the branching variable.

4. Repeat steps 2 and 3 for each unpruned node until all nodes have been processed.

5. The node with the highest objective value among the integer feasible solutions is the optimal solution.

6. Optionally, backtrace through the tree to retrieve the optimal solution variables.

Note: The specific LP problem and its constraints are missing from the given question, so adapt the steps accordingly.

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From the given information provided, the average stopping distance is 316 feet for car travelling at 65mph on dry level pavement.

The average stopping distance of a car traveling at 65 mph on dry, level pavement depends on various factors, such as the condition of the pavement, the condition of the tires, the weight of the car, and the efficiency of the braking system.

However, as a general estimate, the average stopping distance of a car traveling at 65 mph on dry, level pavement is about 316 feet. This includes both the reaction time of the driver and the braking distance of the car. It's important to note that this is an average estimate and actual stopping distance can vary depending on the conditions mentioned above. It's always best to drive at a safe speed and maintain a safe distance from other vehicles to avoid accidents.

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Answer:

3/8

Step-by-step explanation:

they simply combined the like terms (aka the x numbers in this case) so all that's left is 3/8

The general form of the solution is y(x) = ∫ f(x) dx + C If f is continuous for all real numbers dy/dx=f(x) and y(2)=4 then y(x)= 4.

I need to provide concise answers. However, I'll do my best to address your question while incorporating the mentioned terms. Given that f is continuous for all real numbers and dy/dx = f(x), we need to find the function y(x) given the initial condition y(2) = 4.
Since dy/dx = f(x), we can interpret this as a first-order differential equation, where the derivative of y(x) with respect to x is equal to the function f(x). To find y(x), we need to solve this differential equation and apply the initial condition provided.
To do this, we will integrate both sides of the equation with respect to x:
∫ dy = ∫ f(x) dx
y(x) = ∫ f(x) dx + C
where C is the constant of integration. Now, we can use the initial condition y(2) = 4 to determine the value of C:
4 = ∫ f(2) dx + C
Since we don't have an explicit expression for f(x), we cannot determine an exact formula for y(x) or the value of C. However, the general form of the solution to the given problem is:
y(x) = ∫ f(x) dx + C
with the initial condition y(2) = 4. To find the exact solution, we would need more information about the function f(x).

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The measure of angle x and y are 55.8° and 34.2° respectively.

The figure in the image is a right triangle.

To solve for the missing angles, we use the trigonometric ratio.

Note:

Sine = opposite / hypotenuse

Cosine = Adjacent / hypotenuse

To solve for angle x:

sin( x ) = opposite / hypotenuse

sin( x ) = 14.8 / 17.9

Take the sine inverse

x = sin⁻¹( 14.8 / 17.9 )

x = 55.8°

To solve for angle y:

cos( y ) = adjacent / hypotenuse

cos( y ) = ( 14.8 / 17.9 )

Take the cosine inverse

y = cos⁻¹( 14.8 / 17.9 )

y = 34.2°

Therefore, the measure of angle y is 34.2 degrees.

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Answer:

40,725.8

Step-by-step explanation:

What is the standard form of the number that has a value of 4 ten thousands, 7 hundreds, 2 tens, 5 ones, and 8 tenths

4 ten thousands = 40,000

7 hundreds = 700

2 tens = 20

5 ones = 5

8 tenths = 0.8

Answer:

4x^2  +3x -7

Step-by-step explanation:

(4x^2 – 2x) + (5x - 7)

Combine like terms

4x^2  -2x+5x    -7

4x^2  +3x -7

( 4x² - 2x ) + ( 5x - 7 )

Now , adding like terms.

4x² - 2x + 5x - 7

4x² + 3x -7

Option ( B ) is the correct answer.

Answer:

It will rain 48 inches in 12 hours.

Step-by-step explanation:

If for every hour it rains 4 inches, then to find how many inches it rained in 12 hours you just need to multiply the amount of hours by 4: 12 x 4 = 48

PLZ mark brainliest if I helped

A 95% confidence interval for percent of american adults who believe in aliens:  (0.6578, 0.7822)

In this question we have been given that in a survey conducted on an srs of 200 american adults, 72% of them said they believed in aliens

We need to find the 95% confidence interval for percent of american adults who believe in aliens.

95% confidence interval = (p ± z√[p(1 - p)/n])

Here, n = 200

p = 72%

p = 0.72

And the z-score for 95% confidence interval is 1.960

The upper limit of interval would be,

(p + z√[p(1 - p)/n])

= 0.72 + 1.960 √[0.72(1 - 0.72)/200]

= 0.72 + 1.960 √[(0.72 * 0.28)/200]

= 0.72 + 1.960 √0.001008

= 0.72 + 0.0622

= 0.7822

The lower limit of interval would be,

(p - z√[p(1 - p)/n])

= 0.72 - 1.960 √[0.72(1 - 0.72)/200]

= 0.72 - 1.960 √[(0.72 * 0.28)/200]

= 0.72 - 1.960 √0.001008

= 0.72 - 0.0622

= 0.6578

Therefore, a 95% confidence interval = (0.6578, 0.7822)

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Answer:

C distributive

Answer:

Step-by-step explanation:

5(x - 2) = 5(x - 2).

if you sove 5(x - 2) then you will find 5x - 10.

Triangle Congruence

The figure shows two triangles JKL and JML. They have two congruent angles JKL -> JML and KJL -> MJL

Two congruent angles on both triangles guarantee that the third angle is also congruent because the sum of all the interior anges is 180° on any triangle.

Having this in mind, we have all of the interior angles congruent but the AAA theorem is not enough to prove congruence.

Since the triangles share a common side JL, then we are sure the triangles are not only similar, but congruent.

Thus, the two angle congruence and the common side are enough data to prove the congruence of the given triangles.

AAA theo

The events U and V are mutually exclusive, which means they cannot occur at the same time. Therefore, the probability of both events happening together, P(U and V), is 0. On the other hand, to calculate the probability of either U or V occurring, we can add the individual probabilities of U and V. Given that P(U) is 0.26 and P(V) is 0.37, we can determine that the probability of either U or V happening, P(either U or V), is 0.63

Mutually exclusive events are events that cannot occur at the same time. In this case, U and V are mutually exclusive events. When two events are mutually exclusive, the probability of both events occurring together (P(U and V)) is always 0 because they cannot happen simultaneously. Therefore, the probability of U and V occurring together is 0.

To calculate the probability of either U or V occurring (P(either U or V)), we need to add the individual probabilities of U and V. In this case, P(U) is given as 0.26 and P(V) as 0.37. By adding these probabilities, we get 0.26 + 0.37 = 0.63. So, the probability of either U or V occurring is 0.63.

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To find the slope of a line, we need to take two point of the graph where the line crosses the corners of the grid.

We can take the following two points:

We will use the definition of the slope:

And we draw a a triangle between the points to find the change in x and the change in y:

We substitute the changes in the slope formula:

Answer: 3/2

questions

1) through: (2, 3), parallel to y = 4x - 1

2) through: (5, -4), parallel to y = -

3/5x +1

3)through: (1, 2), parallel to y = 6x + 3                                                        

4)through: (-1, -1), parallel to y = -4x + 1

answers=

1)y = 4x - 5

2)y = - 3/5-1

3) y = 6x - 4

4)y = -4x - 5

The 30-foot distance between single-family residences in the Desert Vista subdivision is called a "setback" in development terms.

This setback ensures that the neighborhood maintains adequate spacing between homes for privacy, safety, and aesthetics.

The distance between single-family residences in the new Desert Vista subdivision in Mesa is known as the "setback" in subdivision development terms.

Setbacks are regulations that define the minimum distance a building, such as a single-family residence, must be located from property lines or other structures.

These regulations ensure adequate spacing between buildings for various reasons, including privacy, safety, and aesthetics.
1. The student question mentions that the distance between single-family residences in the new Desert Vista subdivision in Mesa is 30 feet.
2. In subdivision development terms, such a distance is referred to as a "setback."
3. Setbacks are important for maintaining privacy, safety, and aesthetics in a neighborhood.
4. These regulations ensure that there is enough space between buildings, preventing overcrowding and allowing for proper ventilation, sunlight, and access to emergency services.
5. Setbacks vary depending on the type of structure and local zoning laws, which determine the minimum distance required between buildings.

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