How do I find the MEAN for this data set?
What is the mean for this data set?
.
:
:
.
.
.
0
1
2
3
4
5
6
7
8
9
This dot plot is in response to the question "How many siblings do you have?". What does the
mean represent in terms of the question?

Answer:

13 or 30

Step-by-step explanation

Answer:

a) 18x+9x+4x+16

b) 41x+16

Answer:

176800 per year

Step-by-step explanation:

There are 52 weeks in 1 year

3400 per week * 52 weeks per year

176800 per year

Answer:

$176,800

Step-by-step explanation:

3400 x 52 = 176,800

The values of k for which y(x) = ekx is a solution of the differential equation y'' - 10y' + 21y = 0 are k = 7 and k = 3.

we need to substitute y(x) into the differential equation and solve for k. to find the values of k for which y(x) = ekx is a solution of the differential equation y'' - 10y' + 21y = 0,

y(x) = ekx

y'(x) = kekx

y''(x) = k²ekx

Hence y'' - 10y' + 21y = 0

k²ekx - 10kekx + 21ekx = 0

ekx(k² - 10k + 21) = 0

we then equate to zero

k - 10k + 21 = 0

We solve this quadratic equation by factoring out

(k - 7)(k - 3) = 0

k - 7 = 0

therefore k = 7

and

k - 3 = 0

therefore  k = 3

Learn more about quadratic equation  at:

https://brainly.com/question/1214333

#SPJ1

Answer:

7 1/2

Step-by-step explanation:

A water tank contains 12 1/2 liters

= 25/2

Two fifth of it was consumedd

= 25/2 ×2/5

= 50/10

= 5

12.5-5

= 7.5

= 7 1/2

The answer of the given question based on the code is , the output of the code will be: The root of x³ + 2x - 2 between 0 and 1 is 0.771

MATLAB code:
To show that `x³ + 2x - 2` has a root between 0 and 1 and,

to find the root to 3 significant digits using the Newton Raphson Method,

we can use the following MATLAB code:  

Defining the function

f = (x)x³ + 2*x - 2;

Plotting the function

f_plot (f, [0, 1]);

grid on;

Defining the derivative of the function

f_prime = (x)3*x² + 2;

Implementing the Newton Raphson Method x0 = 1;

Initial guesstol = 1e-4;

Tolerance for erroriter = 0; % Iteration counter_while (1)

Run the loop until the root is founditer = iter + 1;

x1 = x0 - f(x0)

f_prime(x0);

Calculate the next guesserr = abs(x1 - x0);

Calculate the error if err < tol

Check if the error is less than the tolerancebreak;

else x0 = x1;

Set the next guess as the current guessendend

Displaying the resultfprintf('The root of x³ + 2x - 2 between 0 and 1 is %0.3f\n', x1));

The output of the code will be: The root of x³ + 2x - 2 between 0 and 1 is 0.771

To know more about Newton Raphson Method visit:

https://brainly.in/question/17763377

#SPJ11

When you run the above code in MATLAB, it will display the root of x^3 + 2x - 2 to 3 significant digits.

MATLAB code:

Show that x^3 + 2x - 2 has a root between 0 and 1:

Here is the code to show that x^3 + 2x - 2 has a root between 0 and 1.

x = 0:.1:1;y = x.^3+2*x-2;

plot(x,y);

xlabel('x');

ylabel('y');

title('Plot of x^3 + 2x - 2');grid on;

This will display the plot of x^3 + 2x - 2 from x = 0 to x = 1.

Find the root to 3 significant digits using the Newton Raphson Method:

To find the root of x^3 + 2x - 2 to 3 significant digits using the Newton Raphson Method, use the following code:

format longx = 0;fx = x^3 + 2*x - 2;dfdx = 3*x^2 + 2;

ea = 100;

es = 0.5*(10^(2-3));

while (ea > es)x1 = x - (fx/dfdx);

fx1 = x1^3 + 2*x1 - 2;

ea = abs((x1-x)/x1)*100;

x = x1;fx = fx1;

dfdx = 3*x^2 + 2;

enddisp(x)

When you run the above code in MATLAB, it will display the root of x^3 + 2x - 2 to 3 significant digits.

To know more about MATLAB, visit:

https://brainly.com/question/30763780

#SPJ11

0.3193 is the probability of your 73% surity that at least seven of these people can read and write ( are not illiterate ).

Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true. A probability is a number between 0 and 1, where 1 indicates certainty and 0 indicates impossibility of the event.

p = 0.73

q = 1 - p = 1 - 0.73 = 0.27

n = 8

Using binomial probability formula ,

P(X = x) = (n C x) * px * (1 - p)n - x

P(X > 7) = (8 C 7) * 0.737 * (0.37)8-7  +(8 C 8) * 0.738 * (0.37)8-8

              =  0.238624 + 0.080646

Probability = 0.3193  

learn more about probability here :

brainly.com/question/11234923

#SPJ4

The value of SS for this population cannot be determined with the given information.

The sum of squares (SS) for a population is calculated by summing the squared differences between each individual score and the population mean.

However, the given information provides the population standard deviation (σx = 12) and the population variance (σx^2 = 54), but it does not provide the population mean (μ).

Without the population mean, we cannot accurately calculate the value of SS. Therefore, the value of SS for this population cannot be determined based on the given information.

Learn more about population

brainly.com/question/15889243

#SPJ11

Answer:

that will be 4

Step-by-step explanation:

it goes by 4

Answer:

\(\frac{1}{\sqrt{2}}\)

Step-by-step explanation:

Answer:

adjacent

Step-by-step explanation:

It is the leg that touches the 18 degree angle

Answer:

The slope is the same since they are parallel. The only thing that should be different is the 8 at the end should be any other number.

Step-by-step explanation:

The number of computer chips produced in 3 months will be 2515.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the function f(x) = 5x + 2,500 models the number of computer chips produced by a manufacturing plant each month during its first year.

The number of chips will be calculated as:-

f(x) = 5x + 2,500

f(3) = 5 x 3 + 2500

f(3) = 15 + 2500

f(3) = 2515

Therefore, the number of chips will be 2515.

To know more about an expression follow

https://brainly.com/question/25870863

#SPJ1

The given functions ψ = 2xy and φ = x^2 - y^2 satisfy the conditions for continuity and irrotational flow.

To show continuity, we need to verify that the partial derivatives of ψ and φ with respect to x and y are equal. Let's calculate these partial derivatives:

∂ψ/∂x = 2y

∂ψ/∂y = 2x

∂φ/∂x = 2x

∂φ/∂y = -2y

From the above calculations, we can see that the partial derivatives of ψ and φ with respect to x and y are equal. Therefore, the condition for continuity, which requires the equality of partial derivatives, is satisfied.

To show irrotational flow, we need to verify that the curl of the velocity vector is zero. The velocity vector can be obtained from the stream function ψ and velocity potential φ as follows:

V = ∇φ x ∇ψ

Taking the curl of V:

∇ x V = ∇ x (∇φ x ∇ψ)

Using vector calculus identities and simplifying the expression, we find:

∇ x V = 0

Since the curl of the velocity vector is zero, the condition for irrotational flow is satisfied.

Therefore, based on the calculations and verifications, we can conclude that the given functions ψ = 2xy and φ = x^2 - y^2 satisfy the conditions for continuity and irrotational flow.

Learn more about functions here:

https://brainly.com/question/30721594

#SPJ11

Answer:

5y + 3= 14

subtract 3 from each side

5y=11

divide each side by 5

5y/5=11/5

y=11/5 or 2.2 or 2 1/5

Hope This Helps!!!

Answer:

2.2

Step-by-step explanation:

Properties needed:

First we need to subtract 3 from both sides because of subtraction property of equality to make both sides equal.

5y + 3 = 14

      -3    -3

5y = 11

Then we need to divide 5 from both sides (division property of equality) to get y.

\(\frac{5y}{5} = \frac{11}{5}\)

And we get 2.2

Please mark brainliest!

I hope this helps!

Have a great day!

Step-by-step explanation:

12  36  60   no

13  39          no

14  42          no

15  45          no

16  48  80   no

17  51           no

18 54 90     yes

19 57  95     no

By trial and error     18 54 90  is the combo

Answer:

The code is 152754.

Step-by-step explanation:

The time interval during which the height of the ball is greater than or equal to 52 feet is from \(`t = 1`\) second to\(`t = 3`\)seconds. Given, the height of the ball is h(t)=-16t² + 64t + 4.

Time is given in seconds and we are to find out the interval of time during which the height of the ball is greater than or equal to 52 feet.

The equation of motion of the ball when it is thrown upwards is given by: \(`h(t) = -16t² + vt + h`\)where, `h(t)` is the height of the ball at time `t``v` is the initial velocity with which the ball is thrown`h` is the initial height from where the ball is thrown

For this problem, the initial height of the ball is 4 feet.

Therefore, `h = 4`Also, when the ball is thrown upwards, the initial velocity `v = 64` feet/second. Therefore,`h(t) = -16t² + 64t + 4`

When the height of the ball is 52 feet, then`-16t² + 64t + 4 = 52`

Simplify this equation by bringing all the terms to one side:`-16t² + 64t - 48 = 0`

Divide each term by -16:`t² - 4t + 3 = 0`

This is a quadratic equation of the form `ax² + bx + c = 0` where `a = 1, b = -4` and `c = 3`.Using the quadratic formula, we get:`t = (-b ± sqrt(b² - 4ac))/(2a)`

Substituting the values of `a`, `b` and `c` in the above formula, we get:`t = (4 ± sqrt(16 - 4(1)(3)))/(2(1))`

Simplifying,`t = (4 ± sqrt(4))/2`or,`t = 2 ± 1`

Therefore, the time interval during which the height of the ball is greater than or equal to 52 feet is from `t = 1` second to `t = 3` seconds.

For more question on equation

https://brainly.com/question/17145398

#SPJ8

The sum of this infinite geometric series is -25/9.

A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio of the geometric sequence.

The given geometric series is -5+4-16/5+64/25-256/125

The general formula for finding the sum of an infinite geometric series is S= a/1-r, where s is the sum, a is the first term of the series, and r is the common ratio.

Here, a=-5 and r= -4/5

Now, S = -5/(1+4/5)

= -5/(9/5)

= -25/9

Therefore, the sum of the series is -25/9.

To learn more about the geometric sequence visit:

https://brainly.com/question/11266123.

#SPJ1

Answer:

Cevap A şkkı

İyi dersler

To determine the values of the constant r for which the function y = erx is a solution of the given differential equation, we substitute y = erx into the equation and solve for r. By doing this, we can find the values of r that satisfy the equation and make y = erx a valid solution.

In the given differential equation, we substitute y = erx and its derivatives into the equation. For example, for the equation y′′ + y′ − 2y = 0, we substitute y = erx, y′ = rerx, and y′′ = r^2erx. After substitution, the equation becomes r^2erx + rerx - 2erx = 0.

Next, we can factor out erx from the equation to simplify it. This gives us erx(r^2 + r - 2) = 0.

For y = erx to be a solution of the equation, the expression in parentheses must be equal to zero. So we solve the quadratic equation r^2 + r - 2 = 0.

By solving this quadratic equation, we can find the values of r that satisfy the equation and make y = erx a valid solution. The values of r will depend on the specific coefficients and terms in the given differential equation.

Learn more about differential equation here:

https://brainly.com/question/32524608

#SPJ11

The perimeter of the octagon is 64 centimeters. To find the perimeter of the octagon, we need to determine the length of one side and then multiply it by 8 since an octagon has 8 equal sides.

Let's denote the side length of the octagon as "x". Since the four triangles are removed from a square piece of sheet metal, the remaining shape is also a square.

The area of the square is equal to the side length squared, so the area of the square piece of sheet metal is x^2. We are given that the total area of the removed material is 196 square centimeters. Since there are four triangles, the area of each triangle is 196/4 = 49 square centimeters.

The area of a triangle is equal to (base * height) / 2. In this case, the base and height of each triangle are equal to x, so we can write the equation as (x * x) / 2 = 49.

Simplifying the equation, we have x^2 = 98.

Taking the square root of both sides, we find x = √98 = √(49 * 2) = 7√2.

Finally, multiplying the side length by 8, we get the perimeter of the octagon: 8 * (7√2) = 56√2, which is approximately 79.4 centimeters.

To learn more about octagon, click here: brainly.com/question/17004222

#SPJ11

Answer:

Slope: -5 Y-intercept: 3

Step-by-step explanation:

the slope intercept of a linear equation is:

y=mx+b

were m is slope. and b is the y intercept

therfore the problem is:

y=-5x+3

m=-5 so the slope is -5

b=3 so the y-intrercept is 3

Answer:

-5

Step-by-step explanation:

The slope is always in front of the x

By using the shell method to find the volume of the solid generated when R is revolved about the y-axis is V = 2π∫3⁹(11−x0)x0(11−x0−dx)dx

The volume of a solid that is generated by rotating a region about a given axis is called the volume of revolution. One of the methods to find the volume of revolution is the shell method.

Let's consider the region R bounded by the curves y = 11−x, y = 0, x = 3, x = 9 and find its volume when it is revolved about the y-axis.

The first step is to sketch the region R in the xy-plane. The curves y = 11−x and y = 0 intersect at x = 11, y = 0. The region R is a trapezoid with height 11 and bases 3 and 9.

Next, we need to find the expression for the volume of a thin shell of thickness dx, whose axis is along the y-axis.

Let us consider a thin shell at x = x0. The height of the shell at x = x0 is given by 11−x0. The inner and outer radii of the shell are given by y = 11−x0 and y = 11−x0−dx respectively.

The volume of the shell is given by the formula:

=> V = 2π(y2−y1)x0 = 2π(11−x0)x0(11−x0−dx)

We can now integrate this expression over x0 to find the total volume of the solid.

The limits of integration are x0 = 3 and x0 = 9. The volume of the solid is given by:

V = 2π∫3⁹(11−x0)x0(11−x0−dx)dx

Solving this definite integral will give us the volume of the solid.

To know more about volume here.

https://brainly.com/question/11168779

#SPJ4

Answer:

c/sin(60°) = 14/sin(25°)

c = 14sin(60°)/sin(25°) = 28.7

To approximate the solution and maximize the given objective function we need to find the steepest ascent direction and iteratively update the values of x₁ and x₂ to approach the maximum value of z.

The method of steepest ascent involves finding the direction that leads to the maximum increase in the objective function and updating the values of the decision variables accordingly. In this case, we aim to maximize the objective function z = -(x₁ - 3)² - (x₂ - 2)².

To find the steepest ascent direction, we can take the gradient of the objective function with respect to x₁ and x₂. The gradient represents the direction of the steepest increase in the objective function. In this case, the gradient is given by (∂z/∂x₁, ∂z/∂x₂) = (-2(x₁ - 3), -2(x₂ - 2)).

Starting with initial values for x₁ and x₂, we can update their values iteratively by adding a fraction of the gradient to each variable. The fraction determines the step size or learning rate and should be chosen carefully to ensure convergence to the maximum value of z.

By repeatedly updating the values of x₁ and x₂ in the direction of steepest ascent, we can approach the solution that maximizes the objective function z. The process continues until convergence is achieved or a predefined stopping criterion is met.

Learn more about fraction here:

https://brainly.com/question/10354322

#SPJ11

If you can earn 8 percent on your money, the prize worth to you is: $76,812.50. To calculate the present value of the prize, we need to determine the current worth of receiving $1000 per month for 9 years, given an 8 percent annual interest rate.

This situation can be evaluated using the concept of the present value of an annuity. The present value of an annuity formula is used to find the current value of a series of future cash flows. In this case, the future cash flows are the $1000 monthly payments for 9 years. By applying the formula, which involves discounting each cash flow back to its present value using the interest rate, we find that the present value of the prize is $76,812.50.

This means that if you were to receive $1000 per month for 9 years and could earn an 8 percent return on your money, the equivalent present value of that prize, received upfront, would be $76,812.50.

Learn more about discount here: brainly.com/question/31746893

#SPJ11

The Greek mathematicians started using the symbol pi (π) for as long as 4000 years in mathematical world.

A Short History of Pi

Even if we counted the number of seconds in those 4000 years and round the value of pi (π) to so many places, we would still only be estimating the true value of pi. Pi has been known for over 4000 years. Below is a quick summary of the discovery of.

By multiplying the radius of a circle by three, the ancient Babylonians determined its area, yielding the number pi = three. About 1900–1680 BC Babylonian tablets show a value of 3.125 for, which is a more accurate estimate.

The Rhind Papyrus, which dates to around 1650 BC, sheds light on ancient Egyptian mathematics. The calculation used by the Egyptians to determine a circle's area yielded a result that was around 3.1605 for.

Learn more about Symbol Pi (π):

https://brainly.com/question/16277677

#SPJ4