Using the Binomial distribution Previous If n=8 and p=0.3, find P(x=4)

Step-by-step explanation:

sometimes its good to use real numbers

odd numbers under 10 are good

Kiran is older than Mohal

Their ages are consecutive odd integers

so lets make Kiran 9 & Mohal 7

Find Kiran's age = x or 9

if the sum means add

square of Kiran's age means

x^2 or 9^2 or 81

and means +

3 times Mohal's age

3 * y or 7

is means =

64 so...

x^2 + y = 64

important ****

Their ages are consecutive odd integers

if Kiran is x and

mohal is y and

Their ages are consecutive odd integers

then

y + 2 = x

like for example 7 and 9 are consecutive odd integers

and the difference between them is always 2 so

x^2 + y = 64

change x into y by using

y + 2 = x

(y+2)^2 + y = 64

(y+2)(y+2) =

y^2 +4y + 4 + y = 64

y^2 +5y -60 =

Kiran age is 7 years old.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Let's start by representing Kiran's age as x.

Since Kiran is older than Mohal,

Mohal's age is x-2 (the previous odd integer).

We know that their ages are consecutive odd integers, so the difference between their ages is 2:

x - (x - 2) = 2

Simplifying, we get:

2 = 2

This is true, so we know that our representation of their ages is correct.

Now we can use the given information to set up an equation:

x² + 3(x-2) = 64

Expanding and simplifying, we get:

x² + 3x - 70 = 0

Now we can solve for x using the quadratic formula:

x = (-3 ± √(3² - 4(1)(-70))) / (2(1))

x = (-3 ± √(289)) / 2

x = (-3 ± 17) / 2

x = 7 or x = -10

Since we know that Kiran is older than Mohal, Kiran's age must be positive. Therefore, Kiran is 7 years old and Mohal is 5 years old.

We can check that this satisfies the given condition:

7² + 3(5) = 49 + 15 = 64

Thus,

Kiran age is 7 years old.

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Answer:

83d

Step-by-step explanation:

because i did it

The actual roots of the function \(f(x)=10x^{3}+29x^{2} -66x+27\) are -9/2, 3/5 and 1.

Given  function \(f(x)=10x^{3}+29x^{2} -66x+27\).

Function is a relationship between two or more variables expressed in equal to form.

The roots of a polynomial function are the zeroes of the polynomial function. A polynomial function is a function that involves only non negative integer powers in an equation.

The polynomial function is given as:

\(f(x)=10x^{3}+29x^{2} -66x+27\)

factorize the above function

\(f(x)=(2x+9)(5x-3)(x-1)\)

Now put the function f(x) equal to zero.

f(x)=(2x+9)(5x-3)(x-1)

split the function means put all the expressions equal to zero as under:

(2x+9)(5x-3)(x-1)=0

solve each for the value of x

x=-9/2,x=3/5,x=1

Hence the roots of the function \(f(x)=10x^{3} +29x^{2} -66x+27\) are which are also the values of x are -9/2,3/5,1.

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Answer:

Step-by-step explanation:

Answer:

C. (-7, -6)

Step-by-step explanation:

-10+3=-7

-5+(-1)= -5-1= -6

Answer: x=4

Step-by-step explanation:

6x + 10 = 5x + 14

x + 10 = 14

x = 4

Answer:

8v+3c

Step-by-step explanation:

Given 2v+6v+3c

1) Add all like terms

-Since both 2 and 6 have "v" and the two together

2) 8v+3c

Answer: 8v+3c

Hope this helps :)

Answer:

-45, -2.5, -1.1, 0.8, 95

Answer:

your answer would be -45, -2.5, -1.1, 0.8, 95

Step-by-step explanation:

if you put the listed numbers out on a number line you would start with the negative numbers on the left side going up to the positive numbers on the right side. -45 is the smallest number in this sequence so it will be the first number. then if you go further right on the number line you'll hit -2.5, then -1.1, then 0.8, then 95. these numbers are large so a number line wouldn't be logical but it always helps to visualize it. hope this helps!

Answer:

4) -2g - 11

Step-by-step explanation:

2(3g-4)-(8g + 3) =

6g - 8 - 8g - 3 =

- 2g - 11

Answer:

Suppose A and B , both has initial volume, say x

120 ML is poured from B to A, then new volumes of A and B will be:

new volume of A (x-120)

new volume of B  (x+120)

Volume of B is now four times volume of A, then

(x+120)= 4(x-120)

(x+120)=4x-180

3x=600

x=200

So, the initial volume of A and B containers is 200

So, at the end, volume of container A = 200-120=80

Hence the answer is 80   :

Step-by-step explanation:

The rank of the methods in order of their apparent speed of convergence, assuming p0 = 1, is as follows:

d. pn = (21/pn-1)^(1/2)

a. pn = 20pn-1 + 21/p2n-1/21

b. pn = pn-1 - p3n-1 - 21/3p2n-1

c. pn = pn-1 - p4n-1 - 21pn-1/p2n-1 - 21

The method with the highest rank (d) is pn = (21/pn-1)^(1/2), which involves taking the square root of 21 divided by pn-1. This method has the fastest apparent speed of convergence.

The method with the second-highest rank (a) is pn = 20pn-1 + 21/p2n-1/21. In this method, pn is computed by multiplying pn-1 by 20 and adding 21 divided by p2n-1/21. While this method has a slower convergence rate compared to method (d), it still converges relatively quickly.

The method with the third-highest rank (b) is pn = pn-1 - p3n-1 - 21/3p2n-1. This method involves subtracting p3n-1 and 21/3p2n-1 from pn-1. It has a slower convergence rate compared to methods (d) and (a).

The method with the lowest rank (c) is pn = pn-1 - p4n-1 - 21pn-1/p2n-1 - 21. This method has the slowest apparent speed of convergence among the four options. It involves subtracting p4n-1 and 21pn-1/p2n-1 - 21 from pn-1.

It's important to note that the determination of the apparent speed of convergence is based on the given formulas and the assumption of p0 = 1. The actual speed of convergence may vary depending on the specific values and iterations in practice.

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The solution will be that the home-decorating company will require 42 yards of fabric for the customer's window treatments.

As per the information we have received from the question,

A single window requires 13 yards and a double window requires 16 yards of fabric. We are asked to find out the length of fabric that will be required by the home-decorating company, in case there were 2 single windows and 1 double window. The total amount of fabric that will be required by the home-decorating company is hence equal to

13×(no of single windows)+ 16×(no of double windows)

Here, no of single windows= 2

And, no of double window= 1

Hence, total fabric length=13×2 + 16×1=26 + 16=42 yards

Hence the solution is 42 yards of fabric.

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Answer:

Blinked and 20 questions

Step-by-step explanation:

13 is the value of z from the given figure.

The properties of the triangle are:

From the given figure,

∠ABE + ∠EBC =. 180

∠EBC = 180- ∠ABE

∠EBC = 180 - 9z -----(1)

∠ECB + 115 = 180

∠ECB = 65-----(2)

IN ∆EBC

∠BEC + ∠ECB + ∠EBC = 180

4Z + 180- 9Z + 65 = 180 ---------(from eq i & ii)

-5Z = -65

Z = -65/-5y

Z = 13

The value of z from the given figure is 13.

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Complete question:

To determine the corresponding height of parallelogram RSTU, we need additional information or measurements related to the parallelogram. Without specific details we cannot calculate height accurately.

In a parallelogram, the height is the perpendicular distance between the base and the opposite side. However, to calculate this distance, we require either the length of the base or additional measurements, such as the length of another side or an angle.

Therefore, without more specific information, it is not possible to determine corresponding height of parallelogram RSTU. Additional measurements or details regarding parallelogram's properties would be necessary to calculate the height accurately.

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The estimated variance of B is 0.000014 and the estimated variance of a is 26.792.

To estimate the variances of the parameter estimates in the linear regression model, we can use the following formulas:

Var(B) = (1 / [n * EX² - (EX)²]) * (EY² - 2B * EXY₁ + B² * EX²)

Var(a) = (1 / n) * (Ey? - a * EY - B * EXY₁)

Given the following values:

EX = 228

EY = 3121

EXY₁ = 38297

EX² = 3204

Exy = 3347-60

Ex? = 604-80

Ey? = 19837

n = 20

We can substitute these values into the formulas to estimate the variances.

First, let's calculate the estimate for B:

B = (n * EXY₁ - EX * EY) / (n * EX² - (EX)²)

= (20 * 38297 - 228 * 3121) / (20 * 3204 - (228)²)

= 1.331

Next, let's calculate the variance of B:

Var(B) = (1 / [n * EX² - (EX)²]) * (EY² - 2B * EXY₁ + B² * EX²)

= (1 / [20 * 3204 - (228)²]) * (3121² - 2 * 1.331 * 38297 + 1.331² * 3204)

= 0.000014

Now, let's calculate the estimate for a:

a = (EY - B * EX) / n

= (3121 - 1.331 * 228) / 20

= 56.857

Next, let's calculate the variance of a:

Var(a) = (1 / n) * (Ey? - a * EY - B * EXY₁)

= (1 / 20) * (19837 - 56.857 * 3121 - 1.331 * 38297)

= 26.792

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When the increment operator precedes its operand, as

++num, the expression is in prefix mode.

When the increment or decrement operator is placed before the operand ( to the operand's left), the operator is being used in prefix mode.

A prefix is defined by specifying its name with the name= keyword, its optional short name with the sname= keyword, optional input names with iname=, and the keyword prefix.

During an assignment of one variable to other the prefix mode of increment and decrement first increments or decrements the variable's value then updated value of the variable is used in assignment.

Postfix mode on the other hand is when the increment or decrement operator is placed after the operand (or to the oper and's right) .

Pre-increment, (for example, ++n) increments the value first, and then performs the specified operation.

Therefore, When the increment operator precedes its operand, as ++num, the expression is in prefix mode.

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Answer: y = 5x + 26

Step-by-step explanation:

To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 1 = 5(x - (-5))

Simplifying further:

y - 1 = 5(x + 5)

Expanding the brackets:

y - 1 = 5x + 25

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 5x + 26

Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.

x(0) = 0.25 in (initial displacement from equilibrium). x'(0) = 0 ft/s (initial velocity)

We can use Newton's second law to formulate the initial value problem that governs the motion of the mass. The equation is given by:

m*a = F_net

where m is the mass, a is the acceleration, and F_net is the net force acting on the mass.

The net force can be found as the sum of the spring force, the viscous resistance force, and the force due to gravity. Therefore, we have:

F_net = F_spring + F_viscous + F_gravity

where F_spring is the force exerted by the spring, F_viscous is the force due to the viscous resistance, and F_gravity is the force due to gravity.

The force exerted by the spring is given by Hooke's law:

F_spring = -k*x

where k is the spring constant and x is the displacement from the equilibrium position. Since the spring stretches 3 in under a weight of 4 lb, we can find k as:

k = F/x = 4/3 = 4/0.25 = 16 lb/in

Therefore, the force exerted by the spring is:

F_spring = -16*x

The force due to viscous resistance is proportional to the velocity of the mass and is given by:

F_viscous = -c*v

where c is the viscous damping coefficient and v is the velocity of the mass. Since the viscous resistance force is 6 lb when the velocity is 3 ft/s, we can find c as:

c = F_viscous/v = 6/3 = 2 lb·s/ft

Therefore, the force due to viscous resistance is:

F_viscous = -2*v

The force due to gravity is given by:

F_gravity = -m*g

where g is the acceleration due to gravity (32.2 ft/s^2).

Substituting these equations into the equation for net force, we get:

ma = -16x - 2v - mg

Since the displacement x and the velocity v are both functions of time t, we can rewrite this equation as a second-order ordinary differential equation in terms of x:

mx'' + 2cx' + kx = m*g

where x' and x'' denote the first and second derivatives of x with respect to t, respectively.

This is the initial value problem that governs the motion of the mass, subject to the initial conditions:

x(0) = 0.25 in (initial displacement from equilibrium)

x'(0) = 0 ft/s (initial velocity)

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Answer:

Here you go!

Step-by-step explanation:

Hope this helped!

Answer: a=7

d=2

Step-by-step explanation:

Answer:

The manager did not make a good suggestion.

Any values of x that are less than or equal to -20 will result in a non-negative output and will not meet the customer's needs.

The locus of point P is 9x² + 574x + 477 + 9y² = 0

The locus of a point is a curve or other shape made by all the points satisfying a particular equation of the relation between the coordinates, or by a point, line, or moving surface.

Given that a moving point p(x,y) moves in such a way that the ratio of the distance from the points (-7,0) and (7,0) to its 4:5. To find the locus of point P, we need to find the distance between P and both points.

The distance between any two points (x, y) and (x' , y') is given by d = √[(x' - x)² + (y'- y)²]

Let

So, the distance between (x, y) and  (x₁, y₁) is

D = √[(x - x₁)² + (y - y₁)²]

= √[(x - (-7))² + (y - 0)²]

= √[(x + 7)² + y²]

Also, So, the distance between (x, y) and  (x₁, y₁) is

D' = √[(x - x₂)² + (y - y)²]

= √[(x - 7)² + (y - 0)²]

= √[(x - 7)² + y²]

Now since D/D' = 4/5, we have

√[(x + 7)² + y²]/√[(x - 7)² + y²] = 4/5

Squaring both sides, we have

[(x + 7)² + y²]/[(x - 7)² + y²] = (4/5)²

[(x + 7)² + y²]/[(x - 7)² + y²] = 16/25

Cross-multiplying, we have

25[(x + 7)² + y²] = 16[(x - 7)² + y²]

Expanding the brackets, we have

25[x² + 14x + 49 + y²] = 16[x² - 14x + 49 + y²]

25x² + 350x + 1225 + 25y² = 16x² - 224x + 748 + 16y²

Collecting like terms,we have

25x² - 16x² + 350x + 224x + 1225 - 748 + 25y² - 16y² = 0

9x² + 574x + 9y² + 477 = 0

So, the locus is 9x² + 574x + 9y² + 477 = 0

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You can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.

To calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation with 10% interest compounded monthly, we can break down the problem into two parts:

Calculate the accumulated balance after 15 years of regular deposits:

We can use the formula for the future value of a regular deposit:

FV = P * ((1 + r/n)^(nt) - 1) / (r/n)

where:

FV is the future value (accumulated balance)

P is the regular deposit amount

r is the interest rate per period (10% per annum in this case)

n is the number of compounding periods per year (12 for monthly compounding)

t is the number of years

P = $125.00 (regular deposit amount)

r = 10% = 0.10 (interest rate per period)

n = 12 (number of compounding periods per year)

t = 15 (number of years)

Plugging the values into the formula:

FV = $125 * ((1 + 0.10/12)^(12*15) - 1) / (0.10/12)

Calculating the expression on the right-hand side gives us the accumulated balance after 15 years of regular deposits.

Calculate the balance after an additional 5 years of accumulation:

To calculate the balance after 5 years of accumulation with monthly compounding, we can use the compound interest formula:

FV = P * (1 + r/n)^(nt)

where:

FV is the future value (balance after accumulation)

P is the initial principal (accumulated balance after 15 years)

r is the interest rate per period (10% per annum in this case)

n is the number of compounding periods per year (12 for monthly compounding)

t is the number of years

Given the accumulated balance after 15 years from the previous calculation, we can plug in the values:

P = (accumulated balance after 15 years)

r = 10% = 0.10 (interest rate per period)

n = 12 (number of compounding periods per year)

t = 5 (number of years)

Plugging the values into the formula, we can calculate the balance after an additional 5 years of accumulation.

By following these steps, you can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.

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A ranked frequency distribution of data can be created by sorting the data in ascending or descending order and then counting the frequency of each value.

The given data set is 245, 261, 289, 222, 291, 289, 240, 233, 249, and 200. To create a ranked frequency distribution of this data set, we first need to sort it in ascending or descending order. Let's sort it in ascending order:200, 222, 233, 240, 245, 249, 261, 289, 289, 291 Next, we need to count the frequency of each value. We can do this by going through the data set and counting how many times each value occurs. Here is the frequency distribution table:Value Frequency 200 1222 1233 1240 1245 1249 1261 1289 2291 1 From this table, we can see that the most frequent value is 289, which occurs twice. We can also see that the least frequent values are 200, 222, 233, and 240, which each occur only once.

In conclusion, a ranked frequency distribution of data can be created by sorting the data in ascending or descending order and then counting the frequency of each value. This allows us to see which values are most and least frequent in the data set.

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The value of B and C for barium(Ba) is 146 and 56 respectively .

Given,

239/94 Pu + 1/0 n ⇒ B/C Ba + 91/38 Sr + 3 1/0 n

Sum of mass number in reactant side is 239+1=240

Sum of atomic number in reactant side is 94+0=94

so the product side sum of mass number should also be 240 and that of atomic number should be 94 .

So to calculate the mass number of barium,

B + 91 + 3*1 = 240

B = 146

Next to calculate the atomic number,

C + 38 + 3*0 = 94

C = 56

Thus the value of atomic number (C) and mass  number (B) is 56 and 146 respectively .

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The answer choice which represents a triangle which is similar to PQR is; Choice D.

As evident in the task content; the answer choice which represents a triangle simar to triangle PQR is to be determined.

On this note, by determining the ratio of the sides given; 21 / 18 = 7 / 6.

On this note, the answer choice which represents a triangle which is similar to triangle PQR is the triangle in which the ratio is sides is same.

Hence, in Choice D; 17.5 / 15 = 7 / 6. Ultimately, the similar triangle is choice D.

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The key components that help determine that this image is reflected are that The image on the right looks flipped compared to the one on the right. Another thing is that they look almost identical, and the points are opposite of the original.

Hope this helps and please consider marking branliest.

Answer:

10, 1 remaining

Step-by-step explanation:

Each team can have 10 people but there will be a remaining person that will not be able to participate.

31 ÷ 3= 10.33333333

Hope this helped :)

The 90% confidence interval is: (2.51, 3.22)

It is a boundary of values which is eventually to comprise a population value with a certain degree of confidence. It is usually shown as a percentage whereby a population means lies within the upper and lower limit of the provided confidence interval.

We have the following information :

The level of significance is calculated as:

\(\alpha =1-c\\\\\alpha =1-0.90\\\\\alpha =0.10\)

The degrees of freedom for the case is:

df = n - 1

df = 15 - 1

df = 14

The 90% confidence interval is calculated as:

=x(bar) ±\(t_\frac{\alpha }{2}\), df \(\frac{s}{\sqrt{n} }\)

= 2.86 ±\(t_\frac{0.10 }{2}\), 14 \(\frac{0.78}{\sqrt{15} }\)

= 2.86 ± 1.761 × \(\frac{0.78}{\sqrt{15} }\)

= 2.86 ± 0.3547

= (2.51, 3.22)

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Answer:

Step-by-step explanation:

a³  +b³ + c³ - 3abc =(a +  b + c)(a² + b² + c² - [ab+bc+ac] )

                              =  9 (a² + b² + c²- 23)

Answer:

  x - y = 2

Step-by-step explanation:

You want an equation for the tangent to (x^2+y^2)^3−8x^2y^2=0 at the point (x, y) = (1, -1).

A graph of the curve shows it has a slope of +1 at (x, y) = (1, -1).

In point-slope form the equation of the line is ...

  y -k = m(x -h) . . . . . . . . line with slope m through point (h, k)

  y -(-1) = 1(x -1) . . . . . . substituting known values

  x - y = 2 . . . . . . . . rearranging to standard form

__

Additional comment

Differentiating implicitly, you get ...

  3(x^2 +y^2)^2(2x·dx +2y·dy) -16xy^2·dx -16x^2y·dy = 0

at (1, -1), this is ...

  3(1 +1)^2(2·dx -2·dy) -16·dx +16·dy = 0

  8dx -8dy = 0 . . . . simplified

  dy/dx = 1

Then we can proceed with the point-slope equation as above.

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