Please help me please

we have the data set

768,769,814,895,901,913,937,963

so

Find out the mean

mean=(768+769+814+895+901+913+937+963)/8

mean=6,960/8

mean=870

Find out the median

768,769,814,895,901,913,937,963

median=(895+901)/2

median=898

Part a

$768 salary changes to $912

the new data set is

769,814,895,901,912,913,937,963

Find out the new mean

mean=(6,960-768+912)/8

mean=888

therefore

Part B

Find out the new median

769,814,895,901,912,913,937,963

median=(901+912)/2

median=906.5

therefore

Answer:

The mean is of 33.6

The margin of error is of 5.2.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

In this question:

Lower bound: 28.4

Upper bound: 38.8

Mean

(28.4+38.8)/2 = 33.6.

The mean is of 33.6

Margin of error:

(38.8 - 28.4)/2 = 5.2

The margin of error is of 5.2.

Answer:

9.7 * 10 to power of 4

Step-by-step explanation:

Answer:

Don't know the meaning of this question

Answer:

2 1/2 beacuse he needs 1 1/4 for one feeder

Step-by-step explanation:

By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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The expected value of x is 3.5 and the variance is 2.91. Thus, the result of tossing a fair die has an expected value of 3.5 and a variance of 2.91.

The expected value, e(x), of the number of dots on the top face of a die is calculated by taking the sum of all possible outcomes multiplied by their respective probabilities. The probability of each outcome, from 1 to 6, is 1/6. Therefore, the expected value is

\((1*1/6)+(2*1/6)+(3*1/6)+(4*1/6)+(5*1/6)+(6*1/6) = 3.5\)

The variance, var(x), is calculated by taking the sum of the squares of the differences between each outcome and the expected value, all multiplied by their respective probabilities. The variance is

\((1-3.5)^2*1/6+(2-3.5)^2*1/6+(3-3.5)^2*1/6+(4-3.5)^2*1/6+(5-3.5)^2*1/6+(6-3.5)^2*1/6\\=2.91.\\\) Thus, the result of tossing a fair die has an expected value of 3.5 and a variance of 2.91.

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Therefore, the sequence of 5 terms is 3, 27, 51, 75, 99, 123.

A linear sequence is a sequence of numbers in which each term is formed by adding a fixed number (called the common difference) to the preceding term. The terms of a linear sequence can be represented by an arithmetic progression, which is a sequence of numbers in which each term is the sum of the first term (a) and a multiple of the common difference (d).

Here,

However, assuming that the sequence follows an arithmetic progression, we can use the formula for the nth term of an arithmetic sequence to find the next terms. Let the first term be a, and the common difference between consecutive terms be d. Then the nth term of the sequence can be expressed as:

an = a + (n - 1)d

Given that the first two terms of the sequence are 3 and 27 respectively, we can write:

a1 = 3

a2 = 27

Using these values, we can find the common difference as:

d = a2 - a1 = 27 - 3 = 24

Now we can use the formula for the nth term to find the next 5 terms:

a3 = a2 + d = 27 + 24 = 51

a4 = a3 + d = 51 + 24 = 75

a5 = a4 + d = 75 + 24 = 99

a6 = a5 + d = 99 + 24 = 123

a7 = a6 + d = 123 + 24 = 147

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Complete question:

Here is part of linear sequence 3, 27. determine the sequence of 5 terms.

Texas' location and climate led to the development of the aviation industry.

What is the significance of Texas in the development of the aviation industry?

The development of the aviation industry in Texas can be attributed to its favorable geographical location and climate. Texas is located in the southern part of the United States, making it a strategic location for air travel between the east and west coasts of the country. Additionally, its warm and dry climate provided ideal conditions for flight testing and training.

Reason what led to the development of the aviation industry :

Texas has a long history of aviation, with the Wright brothers conducting one of their earliest flight demonstrations in the state in 1910. The establishment of military bases during World War II and the subsequent development of aircraft training facilities in Texas further fueled the growth of the aviation industry in the state. Additionally, the placement of the Johnson Space Center in Houston helped to establish Texas as a hub for aerospace research and development. However, it is Texas' favorable location and climate that truly made it a prime location for the aviation industry. Its central location made it a strategic location for air travel and logistics, while its warm and dry climate provided ideal conditions for flight testing and training. Today, Texas remains one of the top states for aviation and aerospace industries, with major airports, aircraft manufacturers, and research institutions located throughout the state.

Therefore, option (d) is correct.

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Answer:

198070.9

Step-by-step explanation:

Answer:

Step-by-step sdexplanation:

Answer:

Step-by-step explanation:

Answer:

D. A pair of intersecting lines

Step-by-step explanation:

A conic section is a fancy name for a curve that you get when you slice a double cone with a plane. Imagine you have two ice cream cones stuck together at the tips, and you cut them with a knife. Depending on how you cut them, you can get different shapes. These shapes are called conic sections, and they include circles, ellipses, parabolas and hyperbolas. If you cut them right at the tip, you get a point. If you cut them slightly above the tip, you get a line. If you cut them at an angle, you get two lines that cross each other. That's what happened in your question. The plane cut the cone at an angle, so the curve is two intersecting lines. That means the correct answer is D. A pair of intersecting lines.

I hope this helps you ace your math question.

Answer:

y = 18

Step-by-step explanation:

84/42 = 2

This means that you multiply 9 by 2, since 42 times 2 equals 84

Answer:

18

Step-by-step explanation:

42y = 9*84

42y = 756

y= 18

Answer:

5:6, 20:24, 30:36

Step-by-step explanation:

Answer:

First, we need to convert 1,200 meters to inches:

1,200 meters * 39.3701 inches/meter = 47,244.12 inches

Next, we need to find the circumference of the wheel:

Circumference = π * Diameter

Circumference = 3.14 * 12 inches

Circumference = 37.68 inches

To find the number of revolutions, we can divide the total distance traveled (47,244.12 inches) by the distance traveled per revolution (37.68 inches):

47,244.12 inches ÷ 37.68 inches/revolution ≈ 1,254 revolutions

Rounding to the nearest whole number, it will take approximately 1,254 revolutions of the wheel to travel 1,200 meters on a child's bicycle.

Answer:

Step-by-step explanation:

Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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Answer:

The line cannot be extended to any point since we are trying to graph a zero that is equivalent to absolutely nothing

Step-by-step explanation:

choose as brainliest

Answer: 2/65

Step-by-step explanation: Reduce the expression, if possible, by cancelling the common factors.

The key features of this quadratic relation y = -3x² - 24x - 36 include;

In Mathematics and Geometry, the graph of a quadratic function would always form a parabolic curve because it is a u-shaped.

Since the leading coefficient (value of a) in the given quadratic function y = -3x² - 24x - 36 is negative 16, we can logically deduce that the parabola would open downward and the x-intercept (roots) is given by the ordered pair (-6, 0) and (-2, 0).

When x = 0, the y-intercept can be determined as follows;

y = -3x² - 24x - 36

y = -3(0)² - 24(0) - 36

y = -36

Axis of symmetry, Xmax = -b/2a

Axis of symmetry, Xmax = -(-24)/2(-3)

Axis of symmetry, Xmax = -4

For the vertex, we have:

y(-4) = -3x² - 24x - 36

y(-4) = -3(-4)² - 24(-4) - 36

y(-4) = 12

In conclusion, the quadratic function has a maximum value at 12.

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Answer:

answer in image blow

Step-by-step explanation:

The maximum and minimum values of the function is solved

Given data ,

We can find the maximum and minimum values of the function by taking the derivative of y with respect to x and setting it equal to zero.

y = (sin x)³ - (sin x)⁶

y' = 3(sin x)² cos x - 6(sin x)⁵ cos x

Setting y' equal to zero:

0 = 3(sin x)² cos x - 6(sin x)⁵ cos x

0 = 3(sin x)² cos x (1 - 2(sin x)³)

sin x = 0 or (sin x)³ = 1/2

If sin x = 0, then x = kπ for any integer k.

If (sin x)³ = 1/2, then sin x = (1/2)^(1/3) ≈ 0.866. This occurs when x = π/3 + 2kπ/3 or x = 5π/3 + 2kπ/3 for any integer k.

To determine whether these values correspond to a maximum or minimum, we can use the second derivative test.

y'' = 6(sin x)³ cos² x - 15(sin x)⁴ cos² x - 9(sin x)⁴ cos x + 6(sin x)⁵ cos x

y'' = 3(sin x)³ cos x (4(sin x)² - 5(sin x)² - 3cos x + 2)

For x = kπ, y'' = 3(0)(-3cos(kπ) + 2) = 6 or -6, depending on the parity of k. This means that these points correspond to a maximum or minimum, respectively.

For x = π/3 + 2kπ/3 or x = 5π/3 + 2kπ/3, y'' = 3(1/2)^(5/3) cos x (4(1/2)^(2/3) - 5(1/2)^(1/3) - 3cos x + 2). This expression is positive for x = π/3 + 2kπ/3 and negative for x = 5π/3 + 2kπ/3, which means that the former correspond to a minimum and the latter to a maximum.

Hence , the maximum value of the function is y = 27/64, which occurs at x = 5π/3 + 2kπ/3, and the minimum value is y = -1/64, which occurs at x = π/3 + 2kπ/3

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Answer:

Step-by-step explanation:

You want the maximum and minimum values of the function ...

  y = sin³(x) -sin⁶(x)

When we substitute sin³(x) = z, we have the quadratic expression ...

  y = z -z² . . . . . a quadratic function

Adding and subtracting 1/4, we can put this in vertex form:

  y = -(z -1/2)² +1/4

This version of the function describes a parabola that opens downward and has a vertex at (z, y) = (1/2, 1/4). The y-value of the vertex represents the maximum value of the function.

The maximum value of y is 1/4.

The sine function is a continuous function with a range of [-1, 1]. Then z will be a continuous function of x, with a similar range. We already know that y describes a function of z that is a parabola opening downward with a line of symmetry at z = 1/2. This means the most negative value of y will be found at z = -1 (the value of z farthest from the line of symmetry). That value of y is ...

  y = (-1) -(-1)² = -1 -1 = -2

The minimum value of y is -2.

__

Additional comment

The range of y is confirmed by a graphing calculator.

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Answer:

The circumference of a circle is divided by the diameter of that circle. PI

Step-by-step explanation:

Hope this helps you!!!! :D

The function for fine at every speed should be doubled in construction zones is f(n)= -8.75n+637.5.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The coordinate points from the graph are (10, 550) and (30, 200).

Here, slope = (200-550)(30-10)

= -350/20

= -35/2

= -17.5

Substitute m= -17.5 and (x, y)=(10, 550) in y=mx+c, we get

550=-17.5(10)+c

c=550+175

c=725

So, the equation is y= -17.5x+725

Thus, f(n)= -17.5n+725

a) The fine at every speed should go up by $10.

So, the coordinates are (10, 560) and (30, 210)

New slope (m)= (210-560)(30-10)

= -350/20

= -35/2

= -17.5

Substitute m= -17.5 and (x, y)=(10, 560) in y=mx+c, we get

560=-17.5(10)+c

c=550+175

c=735

So, the equation is y= -17.5x+735

Thus, f(n)= -17.5n+735

b) The fine at every speed should be doubled in construction zones.

So, the coordinates are (20, 550) and (60, 200)

New slope (m)= (200-550)(60-20)

= -350/40

= -8.75

Substitute m= -8.75 and (x, y)=(20, 550) in y=mx+c, we get

550=-8.75(10)+c

c=550+87.5

c=637.5

So, the equation is y= -8.75x+637.5

Thus, f(n)= -8.75n+637.5

Therefore, the function for fine at every speed should be doubled in construction zones is f(n)= -8.75n+637.5.

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The equations for circles of a diameter of 12 units and centered on the y-axis are:

For a circle of radius R, centered at the point (a, b), the general equation is:

(x - a)^2 + (y - b)^2 = R^2

so if we want a circle centered on the y-axis, we need to have x = 0, then:

x^2 + (y - b)^2  = R^2

And we also know that the diamter is 12 units, then the radius is half of that:

R = 12/2 = 6 units

Then the circle equation is:

x^2 + (y - b)^2 = 6^2

x^2 + (y - b)^2 = 36

Of the given options the only ones that have this form is the first one:

x^2 + (y - 3)^2 = 36

And the last one:

x^2 + (y + 8)^2 = 36

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The probability of Miguel selecting a tile number less than 3 from each bag -1 is 1/5 and bag-2 is 2/5.

The given tiles in bag-1 = {2, 4, 5, 8, 9}

Total number of tiles in bag-1 = 5

The number of tiles less than number 3 in the bag - 1 = 1

The probability of Miguel selecting a tile number less than 3 =

number of tiles less than 3 / total number of tiles = 1/3

The given tiles in bag-2 = {0, 1, 3, 6, 7}

Total number of tiles in bag-2 = 5

The number of tiles less than number 3 in the bag-2 = 2

The probability of Miguel selecting a tile number less than 3 =

number of tiles less than 3 / total number of tiles = 2/3

From the above analysis, we solved the problem.

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Answer:

b

Step-by-step explanation:

159.410 is greater than 159.399 with 0.011

11.0 is the same as 11.000

and so on

I believe both answers are Shannon.

Answer:

(5/2, 7/2)

Step-by-step explanation:

Use the midpoint formula to solve for the midpoint:

\((\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\\\(\frac{3+2}{2},\frac{5+2}{2})\\\\(\frac{5}{2},\frac{7}{2})\)

The equations to solve the length of the room is

a) y² - 5y = 750

b) 750 - y ( y - 5 ) = 0

c) ( y + 25 ) ( y - 30 ) = 0

Given data ,

Let the area of a rectangular room is 750 square feet.

Let the width of the room is 5 feet less than the length of the room

So , on simplifying , we get

w = l - 5

Area of rectangle = length x width

And , A = l x w

A = l ( l - 5 )

750 = y ( y - 5 )

Therefore , the equation is

a) y² - 5y = 750

b) 750 - y ( y - 5 ) = 0

On simplifying the quadratic equation , we get

c) ( y + 25 ) ( y - 30 ) = 0

Hence , the length of the rectangular room is solved

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The complete question is attached below :

Which equations can be used to solve for y, the length of the room? Select three options.

a) y(y + 5) = 750

b) y² – 5y = 750

c) 750 – y(y – 5) = 0

d) y(y – 5) + 750 = 0

e) (y + 25)(y – 30) = 0