predict the breaking weight for a bridge 6 layers thick? explain your reasoning​

The variance of a binomial random variable with parameters n and p is given by np(1-p). In this case, n = 13 and p = 0.50, so the variance is 13(0.50)(1-0.50) = 3.2500. Therefore, option (b) is the correct answer.

To find the value of z such that P(Z > z) = 0.0020, we can use a standard normal distribution table or a calculator to find the corresponding z-score. From the table, we find that the closest probability value to 0.0020 is 0.0019, which corresponds to a z-score of approximately 2.88. Therefore, option (b) is the correct answer. Alternatively, we could use the inverse normal cumulative distribution function on a calculator to find the z-score directly.

The variance of the binomial random variable associated with this experiment is 3.2500. Since each trial is independent and has the same probability of success, the variance of the binomial distribution is given by np(1-p), where n is the number of trials and p is the probability of success in each trial. Therefore, in this case, the variance is 13 x 0.50 x (1-0.50) = 3.2500.

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Answer:

4. y-intercept = -9, answer option a

3. roots are x = 4 and -6, answer option a

Step-by-step explanation:

4. definition of y-intercept: where the function intersects the y-axis

this occurs where the x-coordinate = 0

that means the y-intercept = -9, given in the table

3. roots are zeroes of the function, where it intersects the x-axis

to find, set the function = 0

0 = -3(x-4)(x+6)

the values of x that make this equal to zero can be found by setting

x-4 = 0

and

x+6 = 0

so x = 4 and -6

Answer:

vertex is 2 and -4

Step-by-step explanation:

Step-by-step explanation:

2 real roots in thequestipn

Answer

C:2

Step-by-step explanation:

She need to buy 10 oranges of $6.40.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit.

We are given that grocery store sells a bag of 7 oranges for $4.48. If Khloe spent $6.40 on oranges, then

We have to do as $4.48 divide by 7

4.48 / 7 =  $0.46

Therefore, Each orange costs $0.64

For 10 oranges;

$0.46 x 10 = $6.40

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Answer:

the small pillows costed $20 and the large pillows costed $45

Step-by-step explanation:

this can be set up were x= price of small pillows and y=price of large pillows

according the the question, 265=2x+5y and 635=7x+11y

so now solve this system of equations:

first solve 265=2x+5y for x

add -2x to both sides

-2x+265=5y

add -265 to both sides

-2x=5y-265

divide both sides by -2

x=(-5/2)y+(265/2)

substitute this value of x in 635=7x+11y and solve for y

635=7((-5/2)y+(265/2)) +11y

y=45

substitute 45 for y in x=(-5/2)y+(265/2)and solve for x

x=20

so the small pillows are $20 and the large are $45

The total depletion layer width is 0.982 μm, the built-in potential is 0.84 V, and the maximum field at zero bias is 3.72 x 105 V/cm.

In a diffused silicon p-n junction, the p-side has a linearly graded junction with a doping concentration profile given by a = 3 x 1019/cm4, while the n-side has a uniform doping concentration of 5 x 1014/cm3. The depletion layer width on the p-side at zero bias is given as 0.6 μm.

To find the total depletion layer width, we need to first find the doping concentration at the junction on the p-side. We can do this using the relation:

\(Na2 = Ndp2 + 2εφbi/q(a2 - 2/3 a3)\)

Where Na is the acceptor concentration, Ndp is the donor concentration on the p-side, φbi is the built-in potential, q is the electronic charge, a2 and a3 are the second and third terms of the dopant concentration expansion, and ε is the permittivity of the material.

Using the given values, we can find the acceptor concentration on the p-side to be Na = 1.35 x 1017/cm3. Then, we can find the depletion layer width on the n-side using the relation:

\(Wn = sqrt((2εφbi/ q)(Na/Nd - 1))\)

where Nd is the doping concentration on the n-side. Since the n-side has a uniform doping concentration, we can use the given value of 5 x 1014/cm3 to find Wn = 0.382 μm.

The total depletion layer width is then the sum of the depletion layer widths on both sides, i.e., W = Wp + Wn = 0.6 + 0.382 = 0.982 μm.

To find the built-in potential, we can use the relation:

\(φbi = kT/q ln(NaNd/ni2)\)

where k is the Boltzmann constant, T is the temperature, and ni is the intrinsic carrier concentration. Using the given values and assuming room temperature, we can find φbi to be 0.84 V.

The maximum electric field occurs at the junction and can be found using the relation:

\(Emax = sqrt(2qNaεφbi) / W\)

Using the given values, we can find Emax to be 3.72 x 105 V/cm.

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The equivalent expression of the rational expression (z^-3/z^2)^4 is z^-20

The expression is given as:

(z^-3/z^2)^4

Apply the law of indices:

(z^-3/z^2)^4 =  (z^(-3-2))^4

Evaluate the difference

(z^-3/z^2)^4 =  (z^(-5))^4

Remove the bracket

(z^-3/z^2)^4 =  z^(-5*4)

Evaluate the product

(z^-3/z^2)^4 =  z^-20

Hence, the equivalent expression of  (z^-3/z^2)^4 is z^-20

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Answer:

B

Step-by-step explanation:

Khanacademy helped me.

SAT math scores for an ap statistics class of 20 students: 664, 658, 610, 670, 640, 643, 675, 650, 676, 575, 660, 661, 520, 667, 668, 635, 671, 673, 645, and 650 the distribution of scores is

skewed to the left. The correct answer is (b).

To determine the shape of the distribution of SAT math scores for the AP statistics class, we can create a histogram or a box plot. From the provided scores, we can see that the range of the scores is 520 to 676.

The distribution appears to be slightly skewed to the left as there are a few scores on the lower end, but most of the scores are grouped in the middle and upper end of the range. Additionally, the mean score is 648.6, which is slightly lower than the median score of 658, indicating that the distribution is slightly negatively skewed.

The distribution of SAT math scores for the AP statistics class is slightly skewed to the left, which means that there are more scores on the higher end of the range, and a few lower scores.

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Answer:

--------------------------

All sides of regular polygon have same length:

There are 6 sides of 6 units length.

The perimeter is:

The solution of system of equations are (4, 2). Therefore, option A is the correct answer.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

The given equation is y=-x+6 ---------(I)

On a coordinate plane, a line goes through (0, 0) and (4, 2).

Here, slope m=(2-0)/(4-0)

= 1/2

Substitute m=1/2 and (4, 2) in y=mx+c, we get

2=1/2 (4)+c

c=0

y=1/2 x ---------(II)

Substitute equation (II) in equation (I), we get

1/2 x=-x+6

x=-2x+12

x+2x=12

3x=12

x=4

Substitute x=4 in equation (II), we get

y=2

Then, solution of system of equations is (4, 2)

Therefore, option A is the correct answer.

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Usando medidas proporcionales, se encuentra que tardarán 50 días en construila.

----------------------------------

El voluma de agua es directamente proporcional a el número de días, el número de horas diárias y a el número de obreros, o sea:

\(V = kdho\)

En que k es la constant de proporcionalidad.

De esto, encuentra-se el valor de k.

\(V = kdho\)

\(80000 = k(40)(10)(15)\)

\(6000k = 80000\)

\(k = \frac{80000}{6000}\)

\(k = 13.33\)

O sea

\(V = 13.33dho\)

\(V = 13.33dho\)

\(40000 = 13.33d(6)(10)\)

\(d = \frac{40000}{60 \times 13.33}\)

\(d = 50\)

Tardarán 50 días en construila.

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Answer:

Step-by-step explanation:

Answer:

3•5•5•5

Step-by-step explanation:

hey dude wassup shviika shekar here :) i want to let u know this is actually rpetty simple just think and list of prime numbers and do it yes it take time but...

Answer:

The actual dimensions of the kitchen are  12 feet by 14  feet

Step-by-step explanation:

The kitchen's real measurements are 12 feet by 14 feet.

Detailed explanation:

4 / 0.8 = 5, 7 / 1.4 = 5. The actual drawing ratio is a 5:1 ratio.

Consequently, 2.4 inches multiplied by 5 is 12 feet and 2.8 inches multiplied by 5 equals 14 feet.

12 ft. x 14 ft.

Find the scale of the drawing

\(\frac{0.8}{4} \frac{in}{ft.} = \frac{1.4}{7} = 0.2 \frac{in}{ft.}\)

To determine the precise dimensions subtract 0.2 from the measurements on the scale illustration to get 12 feet (2.4/0.2).

2.8/0.2 = 14 ft

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Answer:

To draw a line graph, you need to plot your data on the graph. For example, if you have the data for the number of cars produced in a year, you would plot the number of cars on the Y-axis and the year on the X-axis. Then, you would trace both lines to the point where they intersect and place a dot on the intersection. You would repeat this process for each year and then connect the dots with a line.

When a\(_{n}\) = \(2^{n}\)+ n,  a₀ = 1,  a₁ = 3,  a₂ = 6, and a₃ = 11  

When a\(_{n}\) = n^(n+1)!,  a₀ = 0,  a₁ = 2,  a₂ = 2⁶, and a₃ = 3²⁴  

When a\(_{n}\) =  [n/2], a₀ = 0,  a₁ = 1/2,  a₂ = 1, and a₃ = 3/2      

When a\(_{n}\) = [n/2] + [n/2], a₀ = 0,  a₁ = 1,  a₂ = 2, and a₃ = 3/2  

Number sequence

A number sequence is a progression or a list of numbers that are directed by a pattern or rule.

Here,

a₀, a₁, a₂, and a₃ are terms of a sequence

from option a, a\(_{n}\) = \(2^{n}\)+ n

⇒ a₀  = 2⁰+ 0 = 1+0 = 1

⇒ a₁  = 2¹+ 1 = 2+1 = 3

⇒ a₂, = 2²+ 2 = 4+2 = 6

⇒ a₃  = 2³+ 3 = 8 +3 = 11  

from option b, a\(_{n}\) = n^(n+1)!

⇒ a₀  = 0^(0+1)! = 0

⇒ a₁  = 1^(1+1)! = 2² = 2

⇒ a₂, = 2^(2+1)! = 2^(3)! = 2⁶          [ ∵ 3! = 6 ]

⇒ a₃  = 3^(3+1)! = 3^(4)! = 3²⁴         [ ∵ 4! = 24 ]

from option c, a\(_{n}\) =  [n/2]          

⇒ a₀  = [0/2] = 0

⇒ a₁  = [1/2] = 1/2

⇒ a₂, = [2/2] = 1

⇒ a₃  = [3/2] =  3/2  

from option d, a\(_{n}\) = [n/2] + [n/2]

⇒ a₀  =  [0/2] + [0/2] = 0

⇒ a₁  =  [1/2] + [1/2] = 1/2 + 1/2 = 1

⇒ a₂, = [2/2] + [2/2] = 1 + 1 = 2

⇒ a₃  =  [3/2] + [3/2] = 6/4 = 3/2

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The Complete Question is -

What are the terms a₀, a₁, a₂, and a₃ of the sequence {a\(_{n}\)}, where a\(_{n}\) is where a\(_{n}\) equals

a. \(2^{n}\) + n                    b. n^(n+1)!

c. [n/2]                      d. [n/2] + [n/2]

Answer:

6:16 :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

We first of all start by cumulating all the time she spent for break

lunch= 30min

break= 15min

total break= 45min

also the time taken to assemble one model plane 25min

let the number of hours be p

and the total number of model plane be y

The model is

y=25p-45

Answer: 25p +45 <480

Step-by-step explanation:

No, it doesn't show that single individuals under the age of 25 have more insurance claims than the nationwide percent reported by the big insurance firm.

Hypothesis

Null hypothesis : H0: p = 0.68

Alternative hypothesis : Ha: p > 0.68

A random sample of 53 claims showed that 41 were made by single people under the age of 25.

Thus; p^ = 41/53 = 0.7736

The test statistic is

z = (p^ - p_o)/√(p_o(1 - p_o)/n)

z = (0.7736 - 0.68)/√(0.68(1 - 0.68)/41)

z = 0.0936/0.07285

z = 1.28

The p-value from z-score calculator, using z = 1.28, one tail hypothesis and significance level of 0.05,we have;

P(z > 1.28) = 0.100273

The p-value gotten is greater than the significance value and so we fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim.

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a)  The test was designed to have a 5% chance of making a Type I error. b) Reject H0 since p-value < significance level. c) Type I error (false positive) if H0 is true and rejected.

A significance test is used to determine whether there is sufficient evidence to reject a null hypothesis, which is a statement about a population parameter, such as a proportion, mean, or standard deviation. The significance level, often denoted by α, is the probability of making a Type I error, which is rejecting the null hypothesis when it is actually true. The commonly used significance level is 0.05, which means that the test is designed to have a 5% chance of making a Type I error.

In this scenario, the sample proportion is 0.12 and the p-value is 0.03, which is the probability of observing a sample proportion as extreme as 0.12 or more extreme, assuming that the null hypothesis is true. Since the p-value is less than the significance level, we have strong evidence against the null hypothesis, and we reject it. Therefore, we conclude that the proportion is significantly different from the hypothesized value.

If the null hypothesis is actually true, and we reject it based on the sample data, we have made a Type I error. In other words, we have falsely concluded that there is a difference when there is not. False positive is another name for this mistake. Conversely, a Type II error occurs when we fail to reject the null hypothesis when it is actually false, and this error is also known as a false negative.

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The complete question is:

A significance level of 0.05 is used when conducting a proportion-related significance test. 0.12 is the sample statistic. P-value equals 0.03.

a) What chance of a Type I error was the test designed for, if H0 were true?

b) What judgement would you draw on this test (reject or fail to reject)?

c) What kind of error, if any, was there as a result of this test?

Answer:

d

Step-by-step explanation:

False. Most of the terrain geometry in the classic game Assassin's Creed is not composed of fundamentally basic geometric shapes with elaborate decoration

In the classic game Assassin's Creed, the terrain geometry is typically not composed of basic geometric shapes with elaborate decoration. Instead, it involves complex and detailed 3D models and environments.

The game's environments are known for their rich and immersive world-building, featuring intricate cityscapes, historical landmarks, and varied landscapes.

Assassin's Creed games are renowned for their attention to detail and realistic depiction of historical settings. The  geometry is designed to replicate real-world locations, such as cities, villages, forests, and mountains, with accuracy and authenticity.

This involves creating intricate architectural structures, intricate natural landscapes, and diverse terrain features.

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The sequence starting at 26 and subtracting 3 from each term is:

26, 23, 20, 17, 14, 11, 8, 5, 2, -1, -4, -7, -10, -13, -16, -19, -22, -25, -28, -31, -34, -37, -40, -43, -46, ...

The given sequence starts at 26 and then subtracts 3 from each term to get the next term in the sequence. So, the second term would be 26 - 3 = 23, the third term would be 23 - 3 = 20, and so on. In general, the nth term of the sequence can be found using the formula Tn = 26 - 3(n-1), where n is the term number. This is an example of an arithmetic sequence where the common difference between any two consecutive terms is constant (-3 in this case). Such sequences can be useful in a variety of mathematical and real-world contexts.

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The number of ways to select a committee of four Republicans, three Democrats, and two Independents from a group of 10 distinct Republicans, 12 distinct Democrats, and four distinct Independents is: 277,200.

This can be calculated using the formula for combinations, which states that the number of ways to choose k objects from a set of n distinct objects is given by

nCk = n! / (k! * (n-k)!),

where ! denotes the factorial function.

In this case, we use this formula to calculate the number of ways to choose four Republicans from a group of 10, three Democrats from a group of 12, and two Independents from a group of 4.

We then multiply these values together to get the total number of possible committees:

(10C4) x (12C3) x (4C2) = 210 x 220 x 6 = 277,200

The final answer is 277,200.

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Answer:

TR = 3 ft

Step-by-step explanation:

The value of 2 in the tenths place is ten times the value of the 2 in the hundredths place.

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

The value of 2 in the tenths place = 0.2

The value of 2 in the hundredths place = 0.02

Taking ratio:

0.2/0.02 = 10

Thus, the value of 2 in the tenths place is ten times the value of the 2 in the hundredths place.

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Among the given options, an R-squared value of 0.5 is the most satisfactory as it indicates a moderate level of relationship between the variables. So, the correct option is b.

R-squared is a statistical measure that represents the proportion of the variance in the dependent variable that can be explained by the independent variable(s). It ranges from 0 to 1, with 1 indicating a perfect fit and 0 indicating no relationship between the variables.
In this case, an R-squared value of 0.5 means that 50% of the variance in the dependent variable can be explained by the independent variable(s). This is considered a moderate level of explanatory power.

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