from a population with a variance of 529, a sample of 289 items is selected. what is the margin of error at 95onfidence?

Answer:

That is an interesting fact! Thank you. If you need help, let me know and I may be able to help.

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The time it will take the second crocodile to finish its snack is 120 seconds

Let x represent the rate of the first crocodile and let y represent the rate of the second crocodile.

The two crocodiles working together can finish a snack in 40 seconds. Thus;

(1/x + 1/y)40 = 1

It takes one of the crocodiles 60 seconds to finish its snack. Thus;

(1/x + 1/60)40 = 1

40/x + 2/3 = 1

x = 120 seconds

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Complete question:

Two crocodiles together can finish their snack in 40 seconds. one of the crocodiles can finish the snack in 60 seconds. how long will it take the second crocodile to finish the same snack?

The inverse of the function and the secret code obtained from the table of values are;

A. C⁻¹(x) = (x + 9)/4

B. The secret code is; FUNCTIONS

The inverse of a specified function reverses the effect of a the specified function.

A. The specified function is; c(x) = 4·x - 9

The inverse of the function c(x) can be found as follows;

c(x) = 4·x - 9

c(x) + 9 = 4·x

4·x = c(x) + 9

x = (c(x) + 9)/4

c⁻¹(x) = (x + 9)/4

B. The table for c(x) and c⁻¹(x) are presented as follows;

c(x)   \({}\)    c⁻¹(x)

15 \({}\)        c⁻¹(x) = (15 + 9)/4 = 6

75 \({}\)        c⁻¹(x) = (75 + 9)/4 = 21

47 \({}\)        c⁻¹(x) = (47 + 9)/4 = 14

3 \({}\)          c⁻¹(x) = (3 + 9)/4 = 3

71 \({}\)         c⁻¹(x) = (71 + 9)/4 = 20

27 \({}\)        c⁻¹(x) = (27 + 9)/4 = 9

51 \({}\)        c⁻¹(x) = (51 + 9)/4 = 15

47 \({}\)        c⁻¹(x) = (47 + 9)/4 = 14

67 \({}\)        c⁻¹(x) = 67 + 9)/4 = 19

The letters are; 6 = F, 21 = U, 14 = N, 3 = C, 20 = T, 9 = I, 15 = O, 14 = N, 19 = S

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a) To maximize its net savings, the company should use the new machine for 7 years.  b) The net savings during the first year of use of the machine are $405 (rounded off to the nearest dollar).  c) The net savings over the period determined in part a are $1,833.33 (rounded off to the nearest cent).

Step-by-step explanation: a) To determine for how many years should the company use the new machine to maximize its net savings, we need to find the value of x that maximizes the difference between the savings and the costs.To do this, we need to first calculate the net savings, N(x), which is given by:S'(x) - C'(x) = 175 - x² - (x² + 11x) = -2x² - 11x + 175To find the maximum value of N(x), we need to find the critical values, which are the values of x that make N'(x) = 0:N'(x) = -4x - 11 = 0 ⇒ x = -11/4The critical value x = -11/4 is not a valid solution because x represents the number of years of operation of the machine, which cannot be negative. (i.e., not use it at all).However, this answer does not make sense because the company would not introduce a new machine that it does not intend to use. Therefore, we need to examine the concavity of N(x) to see if there is a local maximum in the feasible interval.

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Answer:

I believe the answer is y/2 but I'm not entirely sure

Cost to put a 0. 5 ft layer of topsoil on the entire garden is $1000.

The quantity of square units required to completely fill a square is known as the area of a square. The region that lies inside the confines of a flat item or a two-dimensional figure is generally referred to as the area. Measurements are made in square units, with square meters serving as the reference unit 

Area of a Square = Side × Side.

Therefore, the area of square = Side square units.

Side of a square garden= 10 ft.

Area of a square garden= Side × Side= 10 × 10 =100 square ft.

Cost of the whole garden = 100×$5 =$500

Cost to put a 0. 5 ft layer of topsoil on the entire garden =$500/0.5

=$1000

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The cost need to put a 0. 5 ft layer of topsoil on the entire garden is $1000

According to the given statement

we have given that the

side length of the square garden is 10ft.

topsoil cost per foot is $5

And we have to find the cost which required to put a 0. 5 ft layer of topsoil on the entire garden.

So,

The  side length of the square garden is 10ft.

Now, the volume of the cube is (a)^2

And

Total volume of cube = 10*10

Total volume of cube = 100 per square foot.

Now, we find the cost required for a topsoil.

Cost required to put a topsoil of 1 foot in the total volume of cube = volume*cost

So,

Cost required to put a topsoil of 1 foot in the total volume of cube = 1000*5

Cost required to put a topsoil of 1 foot in the total volume of cube = $5000

if we put a topsoil of 0.5 feet then

The cost required = $5000/0.5

The cost required = $1000.

So, The cost need to put a 0. 5 ft layer of topsoil on the entire garden is $1000

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Pi written as 3.l4 and π in mathematics is the ratio for the diameter of a circle to the circumference of that circle. The value is unending

Pi, which is represented by the Greek letter p, or, is a shorthand for the ratio of a circle's diameter to its circumference. No matter how big the circle is, this ratio will always be equal to pi. The value of pi is about 3.14 in decimal notation.

We are to multiply Pi to any equation

let the equation be (20.5 + 3x)\(\pi\)

pi is represented in numbers by 3.14

Hence we would have the equation to be of the form

(20.5 + 3x)3.14

multiply through the bracket

64.37 + 9.42x

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Answer:

Choice D. is the correct answer.

Step-by-step explanation:

Suppose there are two shirts: Shirt A costs $120 and shirt B costs $60. Let's try both coupons on each shirt:

For shirt A:

Using the $20 off coupon, he will pay $120 - $20 = $100

Using the 20% off coupon, he will pay $120 - 20*120/100 =$120 - $24 = $96

For this shirt, the 20% off coupon is the best choice.

For shirt B:

Using the $20 off coupon, he will pay $60 - $20 = $40

Using the 20% off coupon, he will pay $60 - 20*60/100 =$60 - $12 = $48

For this shirt, the $20 off coupon is the best choice.

It's clear that the best coupon to use depends on the cost of the shirt.

Choice D. is the correct answer.

Deone's length was 19.5 inches at birth. Assuming his development proceeds normally, his length should be about 29.5 inches by his first birthday.

We know that According to the Centers for Disease Control and Prevention (CDC), the average length for a boy at birth is around 20 inches, and the average length for a boy at one year of age is around 30 inches.

To estimate Deone's length at one year of age, we use the average growth rate between birth and one year, which is approximately 10 inches.

So , we add 10 inches to Deone's length at birth of 19.5 inches to estimate his length at one year of age:

⇒ Estimated length at 1 year = 19.5 inches + 10 inches = 29.5 inches

Therefore, Deone's length should be about 29.5 inches by his first birthday, assuming that his development proceeds normally.

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A type of quantitative analysis in which the amount of a species in a material is determined by converting the species to a product that can be isolated completely and weighed is "gravimetric analysis."

Gravimetric analysis is a quantitative chemical analysis method in which the contribution sought is transformed into a material (of different compositions) that can be separated and weighed from the sample.

Some key features regarding the gravimetric analysis are-

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Answer:

y = (x/2) + 2

Step-by-step explanation:

Given equation,

→ 2x - 4y = -8

Solving for the value of y,

→ 2x - 4y = -8

→ -4y = -2x - 8

→ 4y = 2x + 8

→ y = (2x + 8)/4

→ [ y = (x/2) + 2 ]

Hence, the value is (x/2) + 2.

Increasing marginal productivity infers that extra units of capital and labor contribute more to yield, driving productive asset allotment. ∝ and ß < 1 expect reducing returns, adjusting with reality.

To appear that the generation work has to expand the marginal productivity of capital (in case ∝ > 1) and labor (on the off chance that ß > 1), we ought to take fractional subsidiaries with regard to each input calculation. For capital (K), the fractional subsidiary of the generation work is:

\(\dfrac{dy}{dK }= \alpha AK^{(\alpha-1)}L^\beta\)

Since ∝ > 1, (∝ - 1) is positive, which implies that the fractional subordinate \(\dfrac{dy}{dK}\) is positive. This shows that an increment in capital input (K) leads to an increment in yield (y), appearing to expand the marginal efficiency of capital.

Additionally, for labor (L), the fractional subordinate of the generation work is:

\(\dfrac{dy}{dL} = \beta AK^{\alpha}L^{(\beta-1)}\)

Since \(\mathbf{\beta > 1, (\beta-1)}\) it is positive, which implies that the halfway subordinate \(\dfrac{dy}{dL}\) is positive. This demonstrates that an increment in labor input (L) leads to an increment in yield (y), appearing to increase the marginal productivity

The economic importance of increasing marginal productivity is that extra units of capital and labor contribute more to yield as their amounts increment.  This suggests that the more capital and labor a firm employments, the higher the rate of increment in yield. This relationship is vital for deciding the ideal assignment of assets and maximizing generation effectiveness.

In most generation capacities, it is accepted that ∝ and ß are less than 1. This presumption adjusts with experimental perceptions and financial hypotheses.

In case ∝ or ß were more prominent than 1, it would suggest that the marginal efficiency of the respective factor increments without bound as the calculated input increments.

In any case, there are decreasing returns to scale, which suggests that as calculated inputs increment, the Marginal efficiency tends to diminish. Therefore, accepting ∝ and ß are less than 1 permits for more reasonable modeling of generation forms and adjusts with the concept of diminishing marginal returns.

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Answer:

68.1407 us the answer

Step-by-step explanation:

Just add

Hello !

Answer:

\(\boxed{\sf x=1}\)

Step-by-step explanation:

We want to find the value of x that satisfies the following equation :

\(\sf 9x+6=2x+13\)

To begin, let's substract 2x from both sides of the equation :

\(\sf 9x+6-2x=2x+13-2x\\\sf 7x+6=13\)

Now, let's substract 6 from both sides :

\(\sf 7x+6-6=13-6\\\sf 7x=7\)

Finally, let's divide both sides by 7 :

\(\sf\frac{7x}{7} =\frac{7}{7}\\\boxed{\sf x=1}\)

Have a nice day ;)

There are 9 choices for the first digit (1-9), 9 choices for the second (0 and the remaining 8), and then 8, 7, 6, 5, and 4 choices for the subsequent digits. So, there are 9*9*8*7*6*5*4 = 326592 different 7-digit license plates.

To solve this problem, we will use the counting principle. The first digit cannot be 0, so there are 9 possible choices for the first digit (1-9). For the second digit, we can use 0 or any of the remaining 8 digits, making 9 choices. For the third digit, we have 8 choices left, as we cannot repeat any digit. Similarly, we have 7, 6, 5, and 4 choices for the next digits.

Using the counting principle, we multiply the number of choices for each digit:
9 (first digit) * 9 (second digit) * 8 * 7 * 6 * 5 * 4 = 326592

There are 326592 different 7-digit license plates that can be made under the given conditions.

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Answer:

A

Step-by-step explanation:

(-7)5 is the same as saying you're multiplying -7 5 times by its self.

Hope this helps!!

Option A is the correct answer.

–7 • –7 • –7 • –7 • –7 = \((-7)^{5}\).

Given,

A. –7 • –7 • –7 • –7 • –7

B. –7 • 5

C. (–7) • 7 • (–7) • 7 • –7

D. 5 • 5 • 5 • 5 • 5 • 5 • 5

We need to find which of the expressions are equivalent to \((-7)^{5}\).

Suppose we have,

a²

Here

a = base

2 = exponents

How do simplify such numbers?

a² a³

= \(a^{2+3}\)

= \(a^{5}\)

Here the base is the same so we can add the exponents

If the base is not the same we can not add the exponents.

Find the expression.

A.

–7 • –7 • –7 • –7 • –7

(-7) is five times so, we can write it as:

= \((-7)^{5}\)

B.

–7 • 5

= -7 x 5

= -35

C.

(–7) • 7 • (–7) • 7 • –7

We have,

(-7) three times and 7 two times.

= (-7)³ x 7²

D.

5 • 5 • 5 • 5 • 5 • 5 • 5

We have 5 seven times so,

= \(5^{7}\)

We see that option A has \((-7)^{5}\).

Option A is the correct answer.

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Good measures are robust, valid, objective, simple, and precisely definable.

In the context of measurement, good measures possess certain qualities that make them reliable and useful. Based on the options provided, the following qualities apply:

Robust: Good measures are robust, meaning they are resistant to outliers or extreme values that may affect the accuracy of the measurement.

Valid: Good measures are valid, meaning they accurately measure what they are intended to measure and provide meaningful information.

Objective: Good measures are objective, meaning they are free from bias or subjective interpretation, ensuring consistency and fairness.

Simple: Good measures are simple, making them easy to understand and apply. They avoid unnecessary complexity and confusion.

Precisely definable: Good measures have clear and precise definitions, ensuring consistent interpretation and allowing for replication in different contexts.

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Answer: 5 9/20

Step-by-step explanation: 46/5 - 15/4

9 1/5 - 3 3/4

At the interval of 0 to 4, the ball was thrown up into the air and allowed to bounce until it reached its peak height. Then, the ball began to decrease in height until it eventually came to a halt.

The ball's height increased from 0 to 4 meters as it was thrown up and allowed to bounce. Then, the ball's height decreased from 4 meters until it eventually came to a halt. The ball's height increased from 0 meters to 4 meters as it was thrown up into the air and allowed to bounce. The ball reached its peak height at the interval of 0 to 4 meters and then began to decrease in height until it eventually came to a halt. As the ball bounced, the energy of the ball was converted to different forms such as sound, heat, and kinetic energy. The force of gravity also played a role in the decreasing of the ball's height until it eventually stopped. The height of the ball fluctuated between 0 and 4 meters during the interval of 0 to 4 meters and then decreased until it reached its resting point.

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Congruent triangles are also frequently employed in architectural designs, carpet patterns, stepping stone patterns, and geometric art.

The following are the two most typical instances of this: Equilateral triangles are used to make truss bridges, which are built on both sides.

Congruence :

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved. A term used to describe an object and its mirror counterpart is congruence. If two things or shapes superimpose on one another, they are said to be congruent. They are identical in terms of size and shape. Line segments having the same length and angles with the same measure are congruent in the context of geometric figures.

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The process of how to construct a square with a compass and straightedge is explained

To construct a square using a compass and straightedge, follow these steps:

1. Start with a line segment AB. This will be one side of the square.

2. Use a compass to mark off four equal distances along the line segment AB. These points will be the vertices of the square.

Let's call these points C, D, E, and F.

3. With the compass centered at point C, draw an arc that intersects line segment AB at two points. Label these points G and H.

4. With the compass centered at point D, draw an arc with the same radius as in step 3. This arc should intersect line segment AB at two points. Label these points I and J.

5. Use a straightedge to draw lines through points G and H and extend them until they intersect. Label this intersection point K.

6. Similarly, use a straightedge to draw lines through points I and J and extend them until they intersect. Label this intersection point L.

7. Finally, use a straightedge to draw lines through points K and L, as well as points C and D. These lines will intersect at point M, which will be the fourth vertex of the square.

Now constructed a square with sides equal to the length of line segment AB using only a compass and straightedge.

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Answer:

5

Step-by-step explanation:

g(x) = 2 - 3x

g(-1) = 2 - 3(-1)

g(-1) = 2 + 3

g(-1) = 5

The area of the triangle is 4.5 square unit.

We have, y= 4x/ (1 + x³)

Now, differentiating the above equation wrt to x we get

y' = 4(1 + x³)- 4x . 3x² / (1+ x³)²

y'= -8x³ + 4/ (1+x³)²

When x = 1 then y' = -4/4 = -1

so, y -2 = -1 (x-1)

y= -x+ 3

Here the x intercept is (3, 0) and y intercept is (0, 3).

so, Area of Triangle is

= 1/2 x 3 x 3

= 9/2

= 4.5 square unit

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Answer:

f(x) = -x -4 or f(x) = (-x)-4

Step-by-step explanation:

Let the graph of g be a translation of 4 units down followed by a reflection in the y-axis of the graph of f(x)=x. Write a rule for g.

Transformations can be found using this general formula: f(x) = a(bx-h)+k

For this question, we want a translation down as well as a reflection.

The two values we need to use are for k, a vertical translation, and b, a reflection over the y-axis.

Since we are translating down 4 units, k = -4

Since we are reflecting across the y-axis, b = -1

So, f(x)=(-x)-4

or

f(x)= -x -4

Timur skillfully cuts out a rectangle from a piece of material with precision and expertise.

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\(\bold{Heya...}\)

3x + y = 11.

Let's solve for x ~

3x + y = 11

Step 1: Add -y to both sides.

\(\mathtt{3x \: + \: y \: + \: -y \: = \: 11 \: + \: -y}\)

\(\mathtt{3x \: = \: -y \: + \: 11}\)

Step 2: Divide both sides by 3.

\(\mathtt{\frac{3x}{3} \: = \: \frac{-y \: + \: 11}{3}}\)

↓ \(\underline{A \: n \: s \: w \: e \: r :}\) ↓

\(\bold{x \: = \: \frac{-1}{3}y \: + \: \frac{11}{3}}\)

Let's solve for x ~

5x - y = 21.

Step 1: Add y to both sides.

\(\mathtt{5x \: - \: y \: + \: y \: = \: 21 \: + \: y}\)

\(\mathtt{5x \: = \: y \: + \: 21}\)

Step 2: Divide both sides of 5.

\(\mathtt{\frac{5x}{5} \: = \: \frac{y \: + \: 21}{5}}\)

↓ \(\underline{A \: n \: s \: w \: e \: r :}\) ↓

\(\bold{x \: = \: \frac{1}{5}y \: + \: \frac{21}{5}}\)

Hope It Helps U...

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\(\huge{\bold{\red{\star{\pink{ItzSehzadi}}}}\)

Step-by-step explanation:

2×2×4=16

Hope it helps uß

Answer:

Step-by-step explanation:

Solution:

3/8     →   6 days

1     →         ?        

Therefore, it will take:

     (1×6days)/(3/8)=16 days

Answer = 16 days