Which point would be a solution to the system of linear inequalities shown below? y>-3/4x+4 y ≥x+3

A minimum sample size of 62 is needed to be 95% confident that the sample mean is within 2 words of the true population mean, assuming a normal distribution of the number of words per sentence in the book and a population standard deviation of 4 words.

To determine the minimum sample size needed to be 95% confident that the sample mean is within 2 words of the true population mean, we can use the formula for the margin of error:

Margin of error = z * (standard deviation / sqrt(n))

Where z is the z-score for the desired confidence level, standard deviation is the population standard deviation (given as 4 words), and n is the sample size.

We want the margin of error to be no more than 2 words, so we can set up the inequality:

z * (4 / √n) ≤ 2

To find the value of z for 95% confidence level, we can use a z-table or calculator and find that z = 1.96.

Substituting this value into the inequality and solving for n, we get:

1.96 * (4 / √n) ≤ 2

Simplifying and solving for n, we get:

n >= 61.05

Since we can't have a fractional sample size, we can round up to the nearest whole number and conclude that a minimum sample size of 62 is needed to be 95% confident that the sample mean is within 2 words of the true population mean.

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The correct answer is: E. The set is not a subspace of P. The set contains the zero polynomial, and the set is closed under addition, but the set is not closed under multiplication by scalars.

To determine whether the set of all polynomials of the form a₀ + a₁x + a₂x² + a₃x³ satisfying the condition is a subspace of P, we need to check whether it satisfies the three conditions required for a subset to be a subspace:

The set contains the zero polynomial.

The set is closed under addition.

The set is closed under multiplication by scalars.

The set contains the zero polynomial:

The zero polynomial is the polynomial with all coefficients equal to zero, i.e., a₀ = a₁ = a₂ = a₃ = 0. This polynomial satisfies the condition, so the set contains the zero polynomial.

The set is closed under addition:

Let p(x) and q(x) be two polynomials in the set, i.e.,

\(p(x) = a₀ + a₁x + a₂x² + a₃x³\\q(x) = b₀ + b₁x + b₂x² + b₃x³\)

We need to show that the sum of p(x) and q(x) is also in the set, i.e.,

p(x) + q(x) = (a₀ + b₀) + (a₁ + b₁)x + (a₂ + b₂)x² + (a₃ + b₃)x³

To satisfy the condition, we need to have:

(a₀ + b₀) + (a₂ + b₂) = (a₁ + b₁) + (a₃ + b₃)

which is true because the set of integers is closed under addition. Therefore, the sum of p(x) and q(x) is also in the set, and the set is closed under addition.

The set is closed under multiplication by scalars:

Let c be a scalar (i.e., an integer) and let p(x) be a polynomial in the set, i.e.,

p(x) = a₀ + a₁x + a₂x² + a₃x³

We need to show that the product of c and p(x) is also in the set, i.e.,

c p(x) = c a₀ + c a₁x + c a₂x² + c a₃x³

To satisfy the condition, we need to have:

c a₀ + c a₁ + c a₂ + c a₃ = 0

which is not necessarily true for all values of c and p(x). Therefore, the set is not closed under multiplication by scalars, and it is not a subspace of P.

The correct answer is: E. The set is not a subspace of P. The set contains the zero polynomial, and the set is closed under addition, but the set is not closed under multiplication by scalars.

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Answer:

f(-3) =8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer

f(x) has the same meaning as y. So you could rewrite the question as "What value of x gives y a value of 8"

The graph tells you that x = - 3 when y = 8.

f(-3) = 8

The diameter of a circle is determined by multiplying the radius by 2. In this case, if the radius of a circle is 2 inches, the diameter would be 4 inches.

The diameter of a circle is a straight line segment that passes through the center of the circle and connects two points on the circle's circumference. It is always twice the length of the radius. To determine the diameter, we can use the formula diameter = 2 * radius.

Given that the radius of the circle is 2 inches, we can substitute this value into the formula: diameter = 2 * 2 inches = 4 inches. Therefore, if the radius of a circle is 2 inches, the diameter of the circle would be 4 inches. This relationship holds true for any circle, where the diameter is always twice the length of the radius.

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When blotting dry a stained slide, rubbing it from side to side may cause the stain to smear or even be removed from the slide completely. This can result in the loss of important information that was being observed under the microscope.

Stains are used to enhance the contrast of the sample being observed and make it easier to distinguish different structures or cells. The stain is absorbed by the sample and binds to specific parts of the cell or tissue, providing a clearer image. However, these stains are often water-soluble and can easily be removed by excessive rubbing or wiping.
To avoid damaging the stained slide, it is important to blot the slide gently and in one direction. The best technique is to use a soft, lint-free cloth or paper towel and gently press down on the slide to remove excess liquid. Blotting the slide in this way will help to prevent the stain from smearing and will preserve the quality of the image.
In conclusion, rubbing a stained slide from side to side while blotting dry can cause the stain to smear or be removed completely, resulting in the loss of important information. To avoid damaging the slide, it is important to blot gently and in one direction using a soft, lint-free cloth or paper towel.

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Answer:

Tony cut 8 strips of bamboo for the cricket cage.

Answer:

-25x-20

Step-by-step explanation:

-5(5x + 4)

-5x5x-5x4

-25x-5x4

-25x-20 awnser

The statement "the domain of an exponential function is all real numbers" is generally true. An exponential function is a mathematical function of the form f(x) = a^x, where a is a positive constant and x can be any real number.

Since x can be any real number, the domain of an exponential function is all real numbers. This means that you can input any real number into an exponential function and get a valid output.

However, there are some special cases where the domain of an exponential function is restricted. For example, if the base a of the exponential function is negative, the domain of the function is limited to even integer values of x, because negative numbers raised to non-integer powers are not defined in the real number system.

In addition, if the function has other operations or transformations applied to it, such as addition or multiplication, the domain of the function may be restricted by these operations.

Overall, while the domain of an exponential function is typically all real numbers, it's important to consider any special cases or restrictions that may apply to a specific function.

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Answer:

it's 7.7%

Step-by-step explanation:

Make sure to label your axis and include important points such as the corner frequency and gain crossover frequency.

To join line segments for a Bode plot, you first need to have the transfer function of the system you are analyzing. Then, you can break down the transfer function into smaller segments, each representing a different frequency range. You can then plot each segment on the Bode plot and connect them together to form a continuous curve. This will give you a visual representation of the system's frequency response. Make sure to label your axis and include important points such as the corner frequency and gain crossover frequency.

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Make sure to label your axis and include important points such as the corner frequency and gain crossover frequency.

To join line segments for a Bode plot, you first need to have the transfer function of the system you are analyzing. Then, you can break down the transfer function into smaller segments, each representing a different frequency range. You can then plot each segment on the Bode plot and connect them together to form a continuous curve. This will give you a visual representation of the system's frequency response. Make sure to label your axis and include important points such as the corner frequency and gain crossover frequency.

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The term that describes jellyfish skeletons formed by fluid-filled compartments is hydrostatic skeletons.

Hydrostatic skeletons are a type of skeletal system found in certain invertebrates, including jellyfish. These skeletons rely on the pressure of fluid within the body to provide support and maintain the body structure. In jellyfish, the fluid-filled compartments act as a hydrostatic skeleton, resisting compression and preventing the body from collapsing or deforming. This enables jellyfish to maintain their shape and move through the water with flexibility. By adjusting the internal pressure of the fluid-filled compartments, jellyfish can control their buoyancy and movement. Hydrostatic skeletons are advantageous for organisms that live in aquatic environments, allowing for efficient locomotion and adaptation to varying water conditions.

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Answer:

The question is pushing the point that they think that Barry Sanders retired from the NFL too early by the use of don’t, it should be worded like:

Do you think that Barry Sanders retired too early?

Hope this helps!

Answer:

B

Step-by-step explanation:

Because there parallel

The Laplace transform of the function f(t) =2t⁴ + 3t² + 5 is given by:

L[2t⁴ + 3t² + 5] = 2/s⁵ + 3/s³ + 5.

Here, we have,

To find the Laplace transform of the function f(t) = 2t⁴ + 3t² + 5,

we can apply the linearity property of the Laplace transform.

The Laplace transform of a constant is given by:

L[a] = a/s,

where 'a' is a constant and 's' is the complex variable.

Applying this property to each term in the function, we have:

L[2t⁴] = 2/s⁵,

L[3t²] = 3/s³,

L[5] = 5/s⁰.

Since s⁰ = 1, the Laplace transform of the constant term 5 is simply 5.

Combining these results using the linearity property, we get:

L[2t⁴ + 3t² + 5] = 2/s⁵ + 3/s³ + 5.

Therefore, the Laplace transform of the function f(t) =2t⁴ + 3t² + 5 is given by:

L[2t⁴ + 3t² + 5] = 2/s⁵ + 3/s³ + 5.

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Answer:

1

Step-by-step explanation:

So just follow order of operations

9-6=3

3^2=9

9*2=18

18/18=1

Final answer is 1

Answer:

Zero product rule

Step-by-step explanation:

According to this rule, any number multiplied by 0 = 0, because you have no lots of something. Hope this helps.

NOTE: for this law to be applicable, the whole equation only needs on zero(alone and not as a place in a larger integer)

Answer:

A.

Step-by-step explanation:

makes since

Answer:

C is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Step-by-step explanation:

Let the ratio of x : y = 6k : 11k

6k =27

k= 4.5

y = 11k

y = 11(4.5)

y = 49.5

x/y = 6/11

or, 27/y = 6/11

or, y = (27×11)/6

or, y=49.5

SAADEDDIN Pastry produces two types of sweets, A and B. Sweet A requires 6 units of ingredient Z, while sweet B requires 3 units of ingredient Z. The baking time per unit of sweet B is twice that of sweet A. The available resources include 36 units of ingredient Z and 12 units of baking time. Sweet A can be sold for SR8 per unit, and sweet B can be sold for SR2 per unit. The goal is to formulate a linear programming (LP) model to maximize revenue.

To formulate the LP model, let's define the decision variables:

- Let x represent the number of units of sweet A to produce.

- Let y represent the number of units of sweet B to produce.

The objective is to maximize revenue, which can be expressed as:

Maximize Z = 8x + 2y

Subject to the following constraints:

6x + 3y ≤ 36 (a constraint on ingredient Z)

x + 2y ≤ 12 (a constraint on baking time)

x ≥ 0 (non-negativity constraint for sweet A)

y ≥ 0 (non-negativity constraint for sweet B)

By graphing the feasible region determined by the constraints and evaluating the objective function at the corner points of the feasible region, the optimal solution can be obtained. The coordinates of the corner points represent different combinations of sweet A and sweet B that satisfy the constraints.

By solving the LP model using graphical analysis, SAADEDDIN Pastry can determine the optimal number of units of sweet A and sweet B to produce in order to maximize revenue while staying within the available resources of ingredient Z and baking time.

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\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &3 \end{cases} \\\\\\ A=2000\left(1+\frac{0.04}{4}\right)^{4\cdot 3}\implies A=2000(1.01)^{12}\implies A\approx 2253.65\)

On solving the provided question, we can say that the average daily balance = $450 and the end day average =  = $533

In mathematics, the average value of a set of integers is the result of dividing the total number of values by the number of values to arrive at the average. If you want to calculate the average value for a dataset, add up all the values and then divide that total by the number of values. The average in mathematics is the average value derived from adding all the numbers in a data collection and dividing the result by the total number of numbers. Take the following dataset as an example: 8, 9, 5, 6, 7, 8 + 9 + 5 + 6 + 7, 35/5 = 7, and the average is 7.

here,

the average daily balance = 500+400//2 = 900/2 = $450

the end day average = 450+100+10/3 = 553.3333333333 = $533

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Answer:

x = - 9

Step-by-step explanation:

Given

- (5x - 4) = 49 ← distribute the parenthesis by - 1

- 5x + 4 = 49 ( subtract 4 from both sides )

- 5x = 45 ( divide both sides by - 5 )

x = - 9

Answer:

1) 80 people  2) 15 weeks

Step-by-step explanation:

(x = the number of people)

500 + 8x = 1140  ← ($500 initially plus $8 per person equals $1140)

8x = 640 ←(subtract the $500 from each side)

x = 80 ←(divide by the $8 per person to get the number of people)

------

(x = the number of weeks)

242 = 62 + 12x  ←(The cost of the snake ($242) is equal to her $62 plus $12 she saves every week)

180 = 12x  ←(subtract the $62 from both sides)

15 = x  ←(divide by the $12 per week)

The value of 5 in 652,400 is ten times larger than the value of 5 in 465,200.

The value in a digit in a number is determine by the place it occupies in the number.

The value of each digit in 465,200 is:

0 = units

0 = tens

2 = hundreds

5 = thousands

6 = ten thousands

4 = hundred thousand

The value of each digit in 652,400 is:

0 = units

0 = tens

4 = hundreds

2 = thousands

5 = ten thousands

6 = hundred thousand

5 occupies the thousand value in 465,200 and 5 occupies the ten thousand value in 652,400 - 5,000 and 50,000. The value of 5 in 652,400 is ten times larger than the value of 5 in 465,200.

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Answer:

the answer is 21x+11

Step-by-step explanation: hope this helps

Step-by-step explanation:

5(3x+3) + 2(3x-2)

15x + 15 6x - 4

15x + 16x + 15 - 4

21x + 11

The area of a square and the two quarter circle is 369.04 square in

A composite shape can be defines as a shape created with two or more basic shapes. We often refer to composite shapes as compound and complex shapes as well.

The composite shape here involve a square and two quarter circle and two quarter circle gives a semi circle.

The area of a semi circle is ½πr²

The area of square is l²

The radius of the circle =l/2 = 16/2 = 8

Therefore the area of the composite shape = ½πr²+ l²

= ½×3.14×8² + 16²

= 113.04 + 256

= 369.04 square in

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x and x⁴-16x²+56 are the resulting composite functions respectively.

Given the following functions below

f(x) = 7/x

g(x) = x² - 8

We need to determine the composite functions (fof)(x) and (gog)(x)

(fof)(x) = f(f(x))

f(f(x)) = f(7/x)

Replace x with 7/x

f(7/x) = 7/(7/x)

f(7/x) = 7 * x/7

f(7/x) = x

Similarly:

(gog)(x) = g(g(x))

g(g(x)) = (x² - 8)² - 8

g(g(x)) = x⁴-16x²+64 - 8

g(g(x)) = = x⁴-16x²+56

Hence the resulting composite functions of f(f(x) and g(g(x)) are x and x⁴-16x²+56

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