2x+1 divided by 8x^3+18x^2+11x+2

Based on the simulations from parts (A) thru (E), the shape of the distribution of "heads" is bell-shaped. Therefore, the correct answer is B. Bell-shaped.

What is the most probable distribution's shape?

Bell-shaped distributions, sometimes referred to as normal or Gaussian distributions in math and science, are the most significant probability distribution shapes since they are typically the result of sufficiently big data sets from naturally occurring random variables.

The mathematical idea known as the normal distribution, and also referred to as the Gaussian distribution, is commonly defined by the mound form.

When data points are utilized to plot a line for a particular item that satisfies the requirements of the normal distribution, a form called a mound is produced.

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Answer:Group

Step-by-step explanation:

Vertical is group and horizontal is period

Answer: Group

Step-by-step explanation:

The position value, r(t) is equals to the (t³/6)k + 2j and velocity value, v(t) is equals to ( t²/2 )k + 4i , for a(t) = tk, v(0) = 4i, r(0) = 2j.

Acceleration is defined as the rate of change of the velocity of an object with respect to time. Accelerations are vector quanty.

a = dv/dt

We have the following informations are available,

Initial velocity, v(0) = 4i

Initial position, r(0) = 2j

Acceleration at any time "t",

a(t) = tk

we have to determine the value of v(t) and r(t).

As we know, a(t) = dv(t)/dt = tk

integrating the above equation ,

v(t) = ∫tk dt = ( t²/2 )k + c

at t = 0 , v(0) = 0 + c = 4i ( since, v(0) = 4i

=> c = 4i

So, v(t) = ( t²/2 )k + 4i

Also, velocity is calculated by derivative of postion (r) with respect to time.

=> v(t) = dr(t) /dt

=> r(t) = ∫ v(t) dt

=> r(t) = ∫ ( t²/2 )k dt

integrating value of the right hand side,

r(t) = ( t³/2×3 )k +d

= (t³/6)k + d

At t = 0, r(0) = (0/6)k + d

=> r(0) = d = 2j

so, r(t) = (t³/6)k + 2j

Hence, the required position and velocity are

(t³/6)k + 2j and ( t²/2 )k + 4i.

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Answer:

4

Step-by-step explanation:

all the containers seem to have 1/2 of the balls

The component form of a vector refers to breaking the vector into components with unit vectors denoting the direction of each component. The general component form angled vectors in a two-dimensional space is given by:

\(\vec v=|v|cos\theta\hat{x}+|v|sin\theta\hat{y}\)

where |v| is the magnitude of the vector component and theta is the angle of the vector.

Using the magnitude and angle given for vector u we can write its component form :

\(\vec u=|u|cos\theta_u \hat{x}+|u|sin\theta_u \hat{y}\\\vec u=|5|cos(9)\hat{x}+|5|sin\(9) \hat{y}\\\vec v=5cos9_u\hat{x}+5sin9_u\hat{y}\)

Doing the same for v

\(\vec v=|v|cos\theta_u \hat{x}+|v|sin\theta_u \hat{y}\\\vec v=|1|cos5_u \hat{x}+|1|sin5_u \hat{y}\\\vec v=1cos5_u\hat{x}+sin5_u\hat{y}\)

Now adding both vector together

\(\vec u+\vec v=(5cos9_u\hat{x}+5sin9_u\hat{y})+(cos5_u\hat{x}+sin5_u\hat{x})\\\vec u+\vec v=(5cos9_u\hat{x}+cos5_u\hat{x})+(5sin9_u\hat{y}+sin5_u\hat{y})\)

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The raw score represented by a z score of 2.00 is 130 (option d).

A z score, also known as a standard score, measures the distance between a particular raw score and the mean of a distribution in terms of standard deviations. In this case, the given set of scores has a mean of 100 and a standard deviation of 15. A z score of 2.00 indicates that the raw score is two standard deviations above the mean.

To find the corresponding raw score, we can use the formula:

Raw Score = (Z Score × Standard Deviation) + Mean

Plugging in the values, we have:

Therefore, a z score of 2.00 in this distribution corresponds to a raw score of 130.

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Answer:

Step-by-step explanation:

hello

\(G(F(x))=G(x-7)=(x-7)^3\)

hope this helps

Answer:

No, it just needs an active mind

if you solve many problem in different level, you will be genius

An operations manager has carefully examined the 1500 parts produced in his factory and classified them into 30 families with geometric similarities using codes that contain design attributes. This is an example of: group technology.

Group technology is a manufacturing philosophy that seeks to improve efficiency and productivity by grouping similar parts together and standardizing their production processes.

By grouping similar parts together, manufacturing processes can be standardized and streamlined, reducing the time and cost associated with producing each part. This approach is particularly effective in high-volume manufacturing operations where a large number of parts are produced repeatedly.

In this case, the operations manager has identified 30 families of parts with geometric similarities and used codes that contain design attributes to classify them. By doing so, the manager has created a basis for grouping similar parts together and standardizing their production processes. This can lead to a more efficient and cost-effective manufacturing operation.

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Answer:

x=4

Step-by-step explanation:

Answer:

Step-by-step explanation:

The iota is a complex notation represented by the letter i in complex number.

iota power 2 can also be written as;

i^2

In complex number, the square root of -1 is iota. This can be expressed as;

\(\sqrt{-1} = i\)

Take the square of both sides

\((\sqrt{-1})^2 = i^2\\-1 = i^2\\Rearrange\\i^2 = -1\)

Hence the iota power 2 is equal to ​-1

Answer:

He drove 6 hours.

Step-by-step explanation:

distance = rate times time

300 = 50t  Divide both sides by 50

t = 6

The term which is used for describing the number of voters who casted their votes using the ballots is called as voter turnout.

The process of selecting a candidate for a suitable post who takes care of the policies which will be framed for the people is called as voting. In this process, the members/ citizens casts their vote in the favor of their suitable candidate. Many times voters are not valid and their votes are considered as null and void.

The voter turnout is either the percentage of registered voters, eligible voters, or all voting-age people ( this varies from place to place depending upon the minimum voting age required). The voter turnout is also referred to the number of people who go to it or take part in it. High voter turnout is generally considered a sign of a healthy democracy.

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Answer:

Step-by-step explanation:

-1

Answer:

-11

Step-by-step explanation:

Equation:

5+x=-6

Answer:

6

Step-by-step explanation:

5

Answer:

k = 10

Step-by-step explanation:

Given 2 secants from an external point to the circle, then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

2x(2x + kx) = 3x(3x + 5x)

4x² + 2kx² = 3x × 8x = 24x² ( subtract 4x² from both sides )

2kx² = 20x² ( divide both sides by 2x² )

k = 10

We are given the following dimensions of a concrete wall.

Height = 4 feet

Width = 18 inches

Length = 375 feet

We are asked to determine how many cubic yards of concrete will it take to pour the wall.

Recall that the volume of a rectangular prism is given by

Where l is the length, w is the width, and h is the height.

First, we need to convert all the given dimensions to yards.

There are 3 feet in 1 yard.

There are 36 inches in 1 yard.

Now, we have all the dimensions in yards, let us substitute them into the formula

Therefore, 83.33 cubic yards of concrete is required to pour the wall.

Given:

The given geometric sequence is:

0.0625, 0.25, 1, ..., 4194304

To find:

The number of terms in the given geometric sequence.

Solution:

We have,

0.0625, 0.25, 1, ..., 4194304

Here, the first term is 0.0625 and the common ratio is:

\(r=\dfrac{0.25}{0.0625}\)

\(r=4\)

The nth term of a geometric sequence is:

\(a_n=ar^{n-1}\)

Where, a is the first term and r is the common ratio.

Putting \(a_n=4194304, a=0.0625, r=4\) in the above formula, we get

\(4194304=0.0625(4)^{n-1}\)

\(\dfrac{4194304}{0.0625}=(4)^{n-1}\)

\(67108864=(4)^{n-1}\)

\(4^{13}=(4)^{n-1}\)

On comparing both sides, we get

\(13=n-1\)

\(13+1=n\)

\(14=n\)

Therefore, the number of terms in the given geometric sequence is 14.

the correct way to report the results of a hypothesis test and a measure of effect size using a t-statistic is option A: t(19)=2.30, r2=0.42, p<0.05.

The correct way to report the results of a hypothesis test and a measure of effect size using a t-statistic depends on the specific journal or style guide you are using. However, in general, the most common format is to report the t-value, degrees of freedom, and p-value first, followed by the measure of effect size.

So, looking at the options provided, we can eliminate option D because it only reports the t-value, degrees of freedom, p-value, and effect size all at once without separating them. Now, we are left with options A and B. Both options report the t-value, degrees of freedom, and p-value first, followed by the effect size. However, there is a difference in the order of the p-value and effect size. Option A reports the effect size as r2=0.42 after the p-value, while option B reports the effect size as r2=0.42 before the p-value.

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Answer:

3.47 and 3.21

Step-by-step explanation:

Let us assume the nails length be X

\(X \sim N(3.34,0.07^2)\)

Value let separated the top 3% is T and for bottom it would be B

\(P(X < T)= 0.97\)

Now converting, we get

\(P(Z < \frac{T-3.34}{0.07})= 0.97\)

Based on the normal standard tables, we get

\(P(Z < 1.881)= 0.97\)

Now compare these two above equations

\(\frac{T-3.34}{0.07} = 1.881 \\\\ T = 1.881 \times 0.07 + 3.34 \\\\ = 3.47\)

So for top 3% it is 3.47

Now for bottom we applied the same method as shown above

\(P(Z < \frac{B-3.34}{0.07})= 0.03\)

Based on the normal standard tables, we get

\(P(Z < -1.881)= 0.03\)

Now compare these two above equations

\(\frac{B-3.34}{0.07} = -1.881\)

\(= -1.881 \times 0.07 + 3.34 \\\\ = 3.21\)

hence, for bottom it would be 3.21

Answer:

X = {O,B,A,N,D}

Y = {B,U,L,A,C,N}

Step-by-step explanation:

Given

Words: OBANDO and BULACAN,

Such that X and represent either of those words respectively.

Next, is to remove all repetition and assign X and Y to the words as thus:

X = {O,B,A,N,D}

Y = {B,U,L,A,C,N}

To maximize the number of people that can be fed, subject to the constraint that the total cost of rice and beans cannot exceed $2,000,000. Let's first rewrite the cost constraint as an equation:

38.5x + 35y = 2,000,000

Now we can rewrite the expression for P in terms of one variable.

How optimal allocation for famine relief funds?

To find the maximum number of people that can be fed, which means we need to maximize the function P= 1.1x +y - 108 subject to the budget constraint:

38.5x + 35y = 2,000,000

First, we can rewrite the budget constraint as:

77x + 70y = 4,000,000y - 108.

To do this, we can use the constraints provided by the budget and the prices of rice and beans. Let's assume that the organization will spend all of the $2,000,000, so we have the equation:

38.5x + 35y = 2,000,000

This represents all the possible combinations of sacks of rice and beans that can be bought with the given budget.

To make the problem easier to work with, we can solve for y in terms of x:

y = (2,000,000 - 38.5x) / 35

Now we can substitute this expression for y into the function for P:

P = 1.1x + (2,000,000 - 38.5x) / 35 - 108

Simplifying this, we get:

P = (14x - 3250) / 35

To maximize P, we can take the derivative and set it equal to zero:

dP/dx = 14/35 = 0

Solving for x, we get:

x = 100,000/14

x = 7,142.857

Since we can't buy a fraction of a sack, we round down to the nearest whole number:

x = 7,142

Now we can use the equation we derived earlier to find the corresponding value of y:

y = (2,000,000 - 38.5 x) / 35

y = (2,000,000 - 38.5(7,142)) / 35

y = 22,000

Therefore, the maximum number of people that can be fed is:

P = 1.1 x + y - 108

P = 1.1(7,142) + 22,000 - 108

P = 30,346

So, the organization should buy 7,142 sacks of rice and 22,000 sacks of beans to feed the maximum number of people.

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Answer:

Hope it helps dear.Please let me know

The value of the equation is x² - x - 1 = 0

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

x - ( 1/x ) = 1   be equation (1)

On simplifying the equation , we get

( x² - 1 ) / x = 1

Multiply by x on both sides of the equation , we get

x² - 1 = x

Subtracting x on both sides of the equation , we get

x² - x - 1 = 0

Now , given that ( x / ( x² + 3x - 1 ) ) = 1/4

On simplifying the equation , we get

Cross multiplying the equation , we get

4x = ( x² + 3x - 1 )

Subtracting 4x on both sides of the equation , we get

x² - x - 1 = 0

Hence , the equation is x² - x - 1 = 0

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Answer:

we know that

volume of a grain silo=volume of a cylinder+volume of a hemisphere

volume of a grain silo=17000 ft³

volume of a cylinder=pi*r²*h

h=30 ft

volume of a cylinder=pi*r²*30----> 30*pi*r² ft³

volume of a hemisphere=(2/3)*pi*r³

so

17000=30*pi*r²+(2/3)*pi*r³-----> multiply by 3---> 51000=282.60*r²+6.28*r³

6.28*r³+282.60*r²-51000=0

using a graph tool

see the attached figure

the solution is  

r=11.942 ft-------> r=11.9 ft

the answer is

The radius of the silo is 11.9 ft

Answer:

a) x = 70

b) a = 50

Step-by-step explanation:

a)  Angles on a straight line add up to 180°

⇒ 52 + x + 58 = 180

⇒ x = 180 - 52 - 58

⇒ x = 70

b) Angles around a point add up to 360°

⇒ 120 + 90 + a + a + a = 360

⇒ 210 + 3a = 360

⇒ 3a = 360 - 210

⇒ 3a = 150

⇒ a = 150 ÷ 3

⇒ a = 50

Answer:

a) x = 70°

b) a = 50°

Step-by-step explanation:

Part (a)

52° + x° + 58 = 180° (Angles on a straight line add up to 180 degrees.)

x + 110 = 180

Subtract 110 to both sides

x = 180 - 110

x = 70°

Part (b)

a° + a° + a° + 90° + 120° = 360° (Angles at a point add up to 360 degrees)

3a + 210 = 360

Subtract 210 to both sides

3a = 360 - 210

3a = 150

Divide both sides by 3

a = 150 / 3

a = 50°

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

B) \(\$8395.80\)

Step-by-step explanation:

\(A=P(1+rt)\\A=7996(1+0.06\cdot\frac{10}{12})\\A=7996(1+0.05)\\A=7996(1.05)\\A=\$8395.80\)

This is all assuming that r=6% is an annual rate, making t=10/12 years

a) By Pythagorean theorem, the value of variable x is equal to 10.2171 meters.

b) By trigonometric functions, the value of variable h is equal to 7.8620 meters.

Herein we have the representation of a geometric system formed by four right triangles, this formation has a known angle and a known side, and two unknown variables as well. The values of the variables can be found by means of trigonometric functions and Pythagorean theorem:

Trigonometric functions

sin 50° = h / x

h = 0.7660 · x

Pythagorean theorem

x² = L² + h²

8² = (0.25 · L)² + h²

64 = 0.0625 · L² + h²

Then, we eliminate L by equalizing second and third equations:

64 = 0.0625 · (x² - h²) + h²

64 = 0.0625 · x² + 0.9375 · h²

And by the first equation:

64 = 0.0625 · x² + 0.9375 · (0.7660 · x)²

64 = 0.0625 · x² + 0.5501 · x²

64 = 0.6126 · x²

8 = 0.783 · x

x = 10.2171 m

And the value of h is:

h = 0.7660 · (10.2171 m)

h = 7.826 m

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Answer: $23.92

Step-by-step explanation:

First, we know that 6 bagels is $2.99.

48/6=8

This means that 6 is a multiple of 48, which makes it easier to solve.

$2.99 x 8 = 23.92

= $23.92

Hi! Based on the information provided, using homework 10 data with a significance level (α) of 0.05 and a p-value of 0.038, your conclusion is that you would reject the null hypothesis.

This is because the p-value (0.038) is less than the significance level (0.05), indicating that there is significant evidence to suggest that the alternative hypothesis is true. Therefore, the conclusion is made based on the evidence to suggest that there is a statistically significant difference between the groups being compared in the study analyzed in homework 10.

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