Noah finds an expression for V(x) that gives the volume of an open-top box in cubic inches in terms of the length xin inches of the cutout squares used to make it. This is the graph Noah gets if he allows x to take on any value between -1 and 5.

Write an expression for V(x).

Answer:

N is the midpoint of line segment JL

Step-by-step explanation:

I just took the test, and that's the only correct answer even though it is asking for two answers

Answer:

detailed

Step-by-step explanation:

answer

Answer:

answer is x= 14 hope it helps

Answer:

the answer is C

Step-by-step explanation:

Work Shown:

y = 15.6 - 3.8x

y = 15.6 - 3.8*3

y = 4.2

Answer:

B. 6

Step-by-step explanation:

Step 1: Subtract 3 from both sides.

6=n

Answer B. 6 equals n

Step-by-step explanation:

9 = 6 + 3

Step-by-step explanation:

Step-by-step explanation:

pure acid is a 100% acid solution.

x = ml of 100% solution

1×x + 0.3×400 = 0.75×(400 + x)

x + 120 = 300 + 0.75x

0.25x = 180

x = 720 ml

we must add 720 ml of pure acid to the 400 ml of 30% solution to create a 75% solution (1,120 ml in total).

The margin of error at a 99% confidence level is 8.36.

The margin of error at a 99% confidence level based on a larger sample of 275 observations is 4.14.

a. Yes, the condition that X−X− is normally distributed is satisfied for a sample size of 69 by the central limit theorem.

b. The margin of error at a 99% confidence level can be computed using the formula:

Margin of error = z* (sigma / sqrt(n))

where z* is the z-score corresponding to a 99% confidence level, sigma is the known standard deviation, and n is the sample size.

The z-score for a 99% confidence level is 2.576 (from the z table).

Substituting the given values, we get:

Margin of error = 2.576 * (27.5 / sqrt(69)) = 8.36

c. The margin of error at a 99% confidence level based on a larger sample of 275 observations can be computed using the same formula:

Margin of error = z* (sigma / sqrt(n))

where z* is the z-score corresponding to a 99% confidence level, sigma is the known standard deviation, and n is the sample size.

The z-score for a 99% confidence level is still 2.576 (from the z table).

Substituting the given values, we get:

Margin of error = 2.576 * (27.5 / sqrt(275)) = 4.14

d. The margin of error is inversely proportional to the square root of the sample size. As the sample size increases, the margin of error decreases. Therefore, the margin of error with n = 275 will be smaller than the margin of error with n = 69, leading to a narrower confidence interval.

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Answer:

Sales Tax = 22.80

Sales Tax Rate = 22.80/380 x 100 = 6^

Step-by-step explanation:

Answer: 8%

Step-by-step explanation:

If the tax for the item was $30.40 and it cost $380  before  tax then to find the sale tax rate you will divide the tax by the total sale price.

30.40 / 380 =  0.08

To convert 0.08 to a percent multiply it by 100

0.08 * 100 = 8 %

Answer:

c. 19

Step-by-step explanation:

This model is describing a function. You put in a number for x, in this case, the input of 7 on the side. You solve the equation with that x-value to get a y-value/output.

x=7

y=3x-2

y=3(7)-2

y=21-2

y=19

The transition matrix from the ordered basis [(*);()] of R2 to the ordered basis [(12):() of R2 is P = [(1, 2); (0, 1)].

Given that a transition matrix is to be found from the ordered basis [(*);()] of R2 to the ordered basis [(12):() of R2. Therefore, let T be the transformation that maps [(*);()] of R2 to the ordered basis [(12):() of R2.

The transformation matrix T can be represented in the form shown below;   T([*];[]) = (1, 0)  // the first column of T   T([ ]; []) = (2, 1) // the second column of TWhere T([*]; []) represents the transformation of the ordered basis [(*);()] of R2, T([ ]; []) represents the transformation of the ordered basis [(12):() of R2.

It is known that for a transformation matrix T, the transformation can be represented as a matrix-vector multiplication, and that to calculate the transformation matrix of a given basis, we can write the matrix in column form, where each column represents the transformation of a basis vector.

Using the above transformation matrix T, the transition matrix P from the ordered basis [(*);()] of R2 to the ordered basis [(12):() of R2 is obtained by arranging the columns of the transformation matrix T in the order of the new basis.   P = [(1, 2); (0, 1)]   // the transition matrix from [(*);()] to [(12);()] of R2

The transformation matrix T can also be written in a standard matrix form using the basis vectors of R2 in column form, as shown below.   T = [(1, 2); (0, 1)] * [(1, 0); (*, 1)] // the transformation matrix using standard basis vectors

Therefore, the transition matrix from the ordered basis [(*);()] of R2 to the ordered basis [(12):() of R2 is P = [(1, 2); (0, 1)].

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The generating function for the sequence {an} is given by a(x) = (1 + 2x) / (1 - x - 6x^2). It captures the terms of the sequence {an} as coefficients of the powers of x.

To find the generating function of the sequence {an}, we can use the properties of generating functions and solve the given recurrence relation.

The given recurrence relation is: an = an-1 + 6an-2

We are also given the initial conditions: a0 = 1 and a1 = 3.

To find the generating function, we define the generating function A(x) as:

a(x) = a0 + a1x + a2x² + a3x³ + ...

Multiplying the recurrence relation by x^n and summing over all values of n, we get:

∑(an × xⁿ) = ∑(an-1 × xⁿ) + 6∑(an-2 × xⁿ)

Now, let's express each summation in terms of the generating function a(x):

a(x) - a0 - a1x = x(A(x) - a0) + 6x²ᵃ⁽ˣ⁾

Simplifying and rearranging the terms, we have:

a(x)(1 - x - 6x²) = a0 + (a1 - a0)x

Using the given initial conditions, we have:

a(x)(1 - x - 6x²) = 1 + 2x

Now, we can solve for A(x) by dividing both sides by (1 - x - 6x^2²):

a(x) = (1 + 2x) / (1 - x - 6x²)

Therefore, the generating function for the given sequence is a(x) = (1 + 2x) / (1 - x - 6x²).

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The probability that the sample mean will be less than 200 pounds is approximately 0.9015 or 90.15%.

Step-by-step explanation:

To solve this problem, we can use the central limit theorem, which states that the sampling distribution of the mean of a large sample (n >= 30) will be approximately normal, regardless of the distribution of the population.

We are given that the population mean is 196 pounds and the standard deviation is 22 pounds. The sample size is 50, which is large enough to apply the central limit theorem.

To find the probability that the mean of the sample will be less than 200 pounds, we need to standardize the sample mean using the formula:

z = (x - mu) / (sigma / sqrt(n))

where x is the sample mean, mu is the population mean, sigma is the population standard deviation, and n is the sample size.

Plugging in the values we get:

z = (200 - 196) / (22 / sqrt(50)) = 1.59

Now we need to find the probability that a standard normal variable is less than 1.59. We can use a standard normal table or calculator to find this probability, which is approximately 0.944.

Therefore, the probability that the mean of the sample will be less than 200 pounds is 0.944 or 94.4% (rounded to one decimal place).

So, we can say that there is a 94.4% chance that the mean weight of 50 randomly selected individuals will be less than 200 pounds.

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Triangular prism formulas

volume = 0.5 * b * h * length , where b is the length of the base of the triangle, h is the height of the triangle, and length is prism length.

area = length * (a + b + c) + (2 * base_area) , where a, b, c are sides of the triangle and base_area is the triangular base area.

Hey there!

“(5z – 4) – 5(–3z – 6)”

DISTRIBUTE the RIGHT side of your equation

5z – 4 –5(–3z) + (–5)(–6)

–5(–3) = 15z

(–5)(–6) = 30

NEW EQUATION: 5z – 4 + 15z + 30

COMBINE your LIKE TERMS

(5z + 15z) + (4 + 30)

5z + 15z = 20z

4 + 30 = 34

ANSWER: 20z + 34 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

20z + 34

Step-by-step explanation:

Answer:

so here we are told that angle CED is 39 degrees and in this diagram we have three angles the first one is Angle CED the next one is angle CEL and the last one is angle LED so angle c e l + angle LED is equals to angle c e d so in this case 3 x - 6 + x + 25 should be equal to 39 degrees collect the like terms 3 x + x + 25 - 6 is equals to 39 degrees 4X + 19 is equals to 39 cross the 19 over the equals sign that you have 4 x is equals to 39 + 19 4 x is equals to 68 divide both sides by 4 and x is equals to 17 then substitute replace where there is x with seventeen so in this case angle c e l will be 3 * 17 -6 we are multiplying 3 by 17 because it was 3 x and we got the value of x to be 17 so 3 * 17 is 51 -6 is 45 so angle CEL is 45 degrees you can do the same with the other angle that is angle LED and you get x to be 42

Answer:

Step-by-step explanation:

Timmy starts off at $40. Each ride costs $4 x the total rides. 2 x 16 = 32. Finally, you subtract 40 - 32= $8 dollars.

The expected number of problems to be resolved today is 10, the standard deviation is 1.3693, the probability that 10 problems can be resolved today is 0.2146, the probability that 10 or 11 problems can be resolved today is 0.3246, and the probability that more than 8 problems can be resolved today is 0.816.

To answer these questions, we will use the binomial distribution since we are dealing with a fixed number of independent trials (the 13 cases reported) with only two possible outcomes (resolved or not resolved).

Let's start with the first question:

Expected number of problems resolved today:

E(X) = n * p = 13 * 0.75 = 9.75

So we would expect about 9.75 problems to be resolved today, but since we cannot have a fraction of a problem, we should round this to 10.

Now let's move on to the second question:

Standard deviation:

σ = sqrt(np(1-p)) = sqrt(13 * 0.75 * 0.25) = 1.3693 (rounded to 4 decimal places).

For the third question:

Probability that 10 of the problems can be resolved today:

P(X=10) = (13 choose 10) * (0.75)^10 * (1-0.75)^(13-10) = 0.2146 (rounded to 4 decimal places).

For the fourth question:

Probability that 10 or 11 of the problems can be resolved today:

\(P(X=10 or X=11) = P(X=10) + P(X=11) = (13 choose 10) * (0.75)^10 * (1-0.75)^(13-10) + (13 choose 11) * (0.75)^11 * (1-0.75)^(13-11) = 0.3246 (rounded to 4 decimal places).\)

For the fifth question:

Probability that more than 8 of the problems can be resolved today:

P(X>8) = 1 - P(X<=8) = 1 - (P(X=0) + P(X=1) + ... + P(X=8))

\(= 1 - ∑(13 choose i) * (0.75)^i * (1-0.75)^(13-i), for i=0 to 8.\)

= 1 - 0.0003 - 0.0033 - 0.0191 - 0.0672 - 0.1562 - 0.2529 - 0.2897 - 0.2072 - 0.0881

= 0.816 (rounded to 4 decimal places).

Therefore, the probability more than 8 of the problems can be resolved today is 0.816 (rounded to 4 decimal places).

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Answer:

To expand (x + 4)², we can use the formula for squaring a binomial: (a + b)² = a² + 2ab + b². In this case, a = x and b = 4.

So,

(x + 4)² = x² + 2(x)(4) + 4²

= x² + 8x + 16

Thus, (x+4)² when expanded and simplified gives x² + 8x + 16.

Step-by-step explanation:

Answer:

x²n+ 8x + 16

Step-by-step explanation:

(x + 4)²

= (x + 4)(x + 4)

each term in the second factor is multiplied by each term in the first factor, that is

x(x + 4) + 4(x + 4) ← distribute parenthesis

= x² + 4x + 4x + 16 ← collect like terms

= x² + 8x + 16

A disadvantage of stratified sampling is requires you to have some prior knowledge about the elements in the population before drawing the sample is a disadvantage of stratified sampling. The correct option is B.

Stratified sampling is a method of sampling in which the population is divided into homogeneous subgroups, called strata, based on some characteristics. This method is used to ensure that the sample is representative of the population and can reduce sampling error.

However, one disadvantage of stratified sampling is that it requires prior knowledge about the population, which may not always be available or accurate. Additionally, stratified sampling can be more complex and time-consuming than other sampling methods, such as simple random sampling.

So, the correct answer is B.

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Defining the variables:

since the length is 4 times as long as the width

Now, we use the formula for perimeter of a rectangle:

And we substitute the value of perimeter 50cm and the values defined for length and width:

We solve this equation for x:

we divide both sides by 10:

We have the values of x.

Since we are asked for the length and width:

Answer:

width: 5cm

length: 20cm

The method that is invoked when an object is created is known as a constructor method.

Constructor in C++ is a special method that is invoked automatically at the time of object creation. It is used to initialize the data members of new objects generally.

The constructor in C++ has the same name as the class or structure. Constructor is invoked at the time of object creation. It constructs the values i.e. provides data for the object which is why it is known as constructors.

Constructor does not have a return value, hence they do not have a return type.

The prototype of Constructors is as follows:

<class-name> (list-of-parameters);

Constructors can be defined inside or outside the class declaration:-

The syntax for defining the constructor within the class:

<class-name> (list-of-parameters) { // constructor definition }

The syntax for defining the constructor outside the class:

<class-name>: :<class-name> (list-of-parameters){ // constructor definition}

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Answer:

p > 8

Step-by-step explanation:

p - 2 > 6

Add 2 to each side

p > 8

Answer:

$339

Step-by-step explanation:

Answer:

$339

Step-by-step explanation:

Answer:

r=9cm

Step-by-step explanation:

C= 2pi r = 18 pi so

2r =18 so r = 18/2=9

Answer:

\(r=9\)

Step-by-step explanation:

The equation to find the circumference of a circle when given the radius is the following,

\(C=r(\pi)(r)\)

There (C) represents the circumference, (r) represents the radius, and (\(\pi\)) represents the irrational numbers (3.1415...)

Substitute in the given values and backsolve for the radius,

\(18(\pi)=2(\pi)(r)\)

Inverse operations,

\(18(\pi)=2(\pi)(r)\)

\(9=r\)

The value of the given and completed expression in this problem is

-1

Combined operations are defined as a set of operations applied to the same problem, for example addition, subtraction, multiplication, are frequently used in arithmetic polynomials.

In this case we have an arithmetic polynomial.

We complete the expression as follows:

1 + 2 - 3 + 4 - 5

We group the positive terms on one side and negative terms on the other:

The value of the expression (1 + 2 - 3 + 4 - 5) is -1

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Answer:

Classify by angles: Equiangular

Classify by sides: Equilateral

Step-by-step explanation:

An equiangular triangle has angles that all measure 60 degrees. An equilateral triangle is a triangle that has sides will all of the same lengths. This triangle meets both of these requirements.

Hope it helps!