a circular table cloth has a hem all the way around its perimeter. the length of this hem is 450cm. what is the radius of the table cloth?

We can say with 90% confidence that the increase in proportion of people satisfied with their financial situation is between 1.05% and 6.71%.

To calculate the confidence interval for the increase in proportion of people satisfied with their financial situation, we need to first calculate the proportions for both years:

Proportion in year 1 = 478/2038 = 0.2342
Proportion in year 2 = 537/1967 = 0.2730

The increase in proportion is:
0.2730 - 0.2342 = 0.0388

To calculate the confidence interval, we can use the formula:
CI = (point estimate ± (critical value x standard error))

The point estimate is the increase in proportion we just calculated: 0.0388

The critical value can be found using a z-table for a 90% confidence level. The z-value for a 90% confidence level is 1.645.

The standard error can be calculated using the formula:
sqrt[(p1(1-p1)/n1) + (p2(1-p2)/n2)]

where p1 and n1 are the proportion and sample size for year 1, and p2 and n2 are the proportion and sample size for year 2.

Plugging in the values, we get:
SE = sqrt[(0.2342(1-0.2342)/2038) + (0.2730(1-0.2730)/1967)] = 0.0174

Now we can plug in all the values to get the confidence interval:
CI = (0.0388 ± (1.645 x 0.0174)) = (0.0105, 0.0671)

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Answer:

Blue = 30

Green = 24

Red = 54

Orange = 12

Step-by-step explanation:

hahahshahhahahahahahauehfudbrog f ghg

Answer:

yeshhh doggo is bac from da weekend

Step-by-step explanation:

Answer:

1. B

2. A

3. 3

4. 2

5. 1

Step-by-step explanation:

Hope this helps!!

Love you all!!

The probability that a total of four tries will be necessary for both of you to get through is 0.1728.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes certainty. A probability is a numerical representation of the possibility or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

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Answer:

yes

Step-by-step explanation:

an infinite solution is when each side of the equation is equal. And when you distribute 4 to n and 3, it becomes 4n+12, and that is the same as the other side of the equation

The root of the graph of f(x) =(x - 5)3(x + 2)2 touches the x-axis at -2,5

(x - 5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis.

(x + 2)^2 has a power of 2 which is an EVEN number. An EVEN power means that the graph will touch the x-axis.

Given: Function f(x) is (x - 5)3(x + 2)2

If a curve touches the x-axis then f(x) = 0

⇒ (x - 5)3(x + 2)2 = 0.

But if ab = 0 ⇒ either a = 0 or b = 0 or both zero.

⇒ (x - 5)3 = 0 and (x + 2)2 = 0

⇒ (x - 5) = 0 and x + 2 = 0

⇒ x = 5 and x = - 2.

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The series given in the question is

\($∑_{n=1}^{\infty}\frac{6^n}{n}$\)

and we have to determine whether it is convergent or divergent. This can be done with the help of the ratio test which is given as follows:

Ratio Test:

If \($\lim_{n\to\infty} \frac{a_{n+1}}{a_n}<1$\), then the series \($\sum_{n=1}^{\infty} a_n$\)is absolutely convergent.

If \($\lim_{n\to\infty} \frac{a_{n+1}}{a_n}>1$\), then the series \($\sum_{n=1}^{\infty} a_n$ is divergent.If $\lim_{n\to\infty} \frac{a_{n+1}}{a_n}=1$\), then the test fails and we cannot conclude anything.

So, here \($a_n=\frac{6^n}{n}$Hence, $$\lim_{n\to\infty} \frac{a_{n+1}}{a_n}=\lim_{n\to\infty} \frac{6^{n+1}}{n+1}.\frac{n}{6^n}$$$$=\lim_{n\to\infty}\frac{6}{\left(1+\frac{1}{n}\right)}$$$$=6$$\) As the value of the limit is greater than\($1$\), we can say that the series \($\sum_{n=1}^{\infty}\frac{6^n}{n}$\) is divergent. Now, we need to evaluate\($\lim_{n\to\infty} a_n$.\)

So, we have \($a_n=\frac{6^n}{n}$ Hence, $$\lim_{n\to\infty} a_n= \lim_{n\to\infty} \frac{6^n}{n}= \infty$$\)

Thus, \($\sum_{n=1}^{\infty}\frac{6^n}{n}$\) is divergent.

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Answer:

$116

Step-by-step explanation:

please refer to the above

Answer:

3 C

4 B

5 B

6C

Step-by-step explanation:

3. the negative of the functiin reflects the original function on the x axis

4. multiplying by a number greater than 1 increases the slop of the original function

5. subtracting from x translates the function to the right

6. subtracting from f(x) translates the function down

Answer:

The price of the socks is dollar 8

Pls mark nrainliest

Answer:

$8

Step-by-step explanation:

Using the information we already know, we can form an equation:

Let x be the socks' original price.

\((24+x)\) × \(0.75=24\)

Divide both sides by 0.75

\(24+x=32\)

Subtract 24 from both sides

\(x=8\)

The socks' original price was $8.

The 15 and 9 units side lengths of the parallelogram ABCD, and the 36° measure of the acute interior angle, A indicates the values of the ratios are;

1. AB:BC = 5:3

2. AB:CD = 1:1

3. m∠A : m∠C= 1 : 4

4. m∠B:m∠C = 4:1

5. AD: Perimeter ABCD = 3:16

A ratio is a representation of the number of times one quantity is contained in another quantity.

The shape of the quadrilateral ABCD in the question = A parallelogram

Length of AB = 15

Length of BC = 9

Measure of angle m∠A = 36°

Therefore;

1. AB:BC = 15:9 = 5:3

2. AB ≅ CD (Opposite sides of a parallelogram are congruent)

AB = CD (Definition of congruency)

AB = 15, therefore, CD = 15 transitive property

AB:CD = 15:15 = 1:1

3. ∠A ≅ ∠C (Opposite interior angles of a parallelogram are congruent)

Therefore; m∠A = m∠C = 36°

∠A and ∠D are supplementary angles (Same side interior angles formed between parallel lines)

Therefore; ∠A + ∠D = 180°

36° + ∠D = 180°

∠D = 180° - 36° = 144°

∠D = 144°

m∠A : m∠C = 36°:144° =1:4

m∠A : m∠C = 1:4

4. ∠B = ∠D = 144° (properties of a parallelogram)

m∠B : m∠C = 144° : 36° = 4:1

5. AD ≅ BC (opposite sides of a parallelogram)

AD = BC = 9 (definition of congruency)

The perimeter of the parallelogram ABCD = AB + BC + CD + DA

Therefore;

Perimeter of parallelogram ABCD = 15 + 9 + 15 + 9 = 48

AD:Perimeter of the ABCD  = 9 : 48  = 3 : 16

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After the blue jays drank 6.19 ounces and the vulture drank an unknown amount of water from the bird bath, there would be 53.21 ounces of water left.

To find the amount of water left in the bird bath, we need to subtract the total amount of water consumed from the initial amount of water.

Given that Aaron filled the bird bath with 72 ounces of water and the blue jays drank 6.19 ounces, we subtract 6.19 from 72 to get the remaining amount of water before the vulture drank.

72 - 6.19 = 65.81 ounces

Now, we need to subtract the amount of water the vulture drank from the remaining amount. The problem statement does not provide the specific amount consumed by the vulture, so we subtract an unknown value from 65.81 ounces.

If we denote the unknown amount as x, the equation would be:

65.81 - x

Since the answer choices do not provide the specific value for the vulture's consumption, we cannot determine the exact amount left in the bird bath. However, based on the given answer choices, 53.21 ounces is the closest option to the remaining amount of water.

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Answer: f(x) = -1/2(x+3)

Example: g(x) = -1/2(-x-3)

This function is a dilation and a reflection of the parent function f(x) because when graphed, the two functions have the same shape but are reflected over the y-axis and are half the size of the original.

A chronic cough and chest pain that Henry has developed as he worked for the restoration of old buildings due to exposure to volatile organic compounds asbestos ammonia are symptoms of an illness called Silicosis.

Silicosis is a long-term lung disease generated by inhaling large amounts of crystalline silica dust, generally over many years. Silica is a substance naturally formed in certain types of stone, rock, sand and clay. Working with these materials may develop a very fine dust which can be easily inhaled.

This illness generates when a construction worker breathes in silica particles, that can penetrate into the lungs and cause inflammation and scarring. In most cases, treatment for silicosis is focused at alleviating the symptoms, such as a chronic cough, shortness of breath, and chest pain.

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Answer:

The expression you use to find the amount of miles would be 5xT=X miles.

or 5t

Answer:  6,048

Step-by-step explanation:

15,000-8,952=6,048

Answer:

4/£

6048

Step-by-step explanation:

just subtract 8952 from 15,000

If the scale upon which points a, b, c, and d are shown is an ordinal scale, we can meaningfully say that the order of the points represents the order of the underlying variable being measured.

When using an ordinal scale, the order of the points (a, b, c, and d) represents the relative ranking or ordering of the underlying variable being measured. This means we can determine which point is higher or lower in the ranking. For example, if the variable being measured is satisfaction level, we can say that point "c" represents higher satisfaction than point "a" or "b." However, with an ordinal scale, we cannot make precise quantitative comparisons between the points or determine the exact magnitude of the differences between them. The scale only allows us to establish the relative order or ranking of the points.

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Answer:

-36=x

Step-by-step explanation:

-19=x+17

-17     -17

-36=x

Answer:

-36

Step-by-step explanation:

-19+-36+17

-19=17- -36

-19=-19

Ans=-36

Answer:

You probably should have gave them 2/3 of what they did. I wouldn't call you a scammer, but it was not fair.

The constraint optimization problem can be solved by determining the expressions for x' and y' and confirming the second-order condition using the bordered Hessian Matrix. The value function and the Envelope Theorem can be used to analyze the effects of changes in income and prices on the optimal value of u(x, y).

To find the expressions for x' and y', we set up the Lagrangian function:

\(L(x, y, \lambda) = 2x^2 + y - \lambda (p_x * x + p_y * y - M)\)

Taking partial derivatives with respect to x, y, and λ, we get:

\(\partial L/\partial x = 4x - \lambda p_x = 0\\\partial L/\partial y = 1 - \lambda p_y = 0\\p_x * x + p_y * y = M\)

Solving these equations simultaneously, we find the optimal values of x and y. Differentiating the first-order conditions, we obtain the second derivative expressions, denoted as 2". The bordered Hessian matrix can be used to confirm the second-order condition for part (a).

To derive the value function, we substitute the optimal values of x and y into the utility function: u(x, y) = 2(x')² + y'.

Suppose the income increases by one unit. We can determine the effect on the optimal value of u(x, y) by using the value function and considering the change in the optimal values of x and y.

Applying the Envelope Theorem, we can evaluate the change in the optimal value of u(x, y) by taking the derivative of the value function with respect to income, while keeping the prices constant.

Similarly, if the price of y increases by one unit, we can analyze the impact on the optimal value of u(x, y) using the Envelope Theorem and considering the change in the optimal values of x and y, with the price of y denoted as p.

These steps will help us understand the changes in the optimal values of u(x, y) under different scenarios based on the given utility function, prices, and income.

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Answer:

It's 60 degrees. if you look carefully at the image, there is 2 angles. it can't be 93 since it is way too narrow.

Step-by-step explanation:

I'm on the question on edge, ill keep you updated if it's wrong.

update: it was correct. hope this helped!

Based on the alternate interior angle theorem, the measure of angle 2 in the diagram given is: C. 60°

The alternate interior angle theorem states that the measure of two alternate interior angles are congruent.

Angle 2 and 60° are alternate interior angles, therefore:

Angle 2 = 60° [alternate interior angle theorem].

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Answer:

The surface area of the given triangular prism = 920 square cm.

In the given triangular prism

S1 = 25 cm

S2 = 25 cm

S3 = 14 cm = base

Height = 24 cm

length = 10 cm

Perimeter = S1 + S2+ S3

                 = 25+25+14

                 = 64 cm

Area of base =  length x base

                      = 10x14

                       = 140 square cm

Since we know that,

Surface area of triangular prism = (Perimeter × Length) + (2 × Base Area)

                                                     = (64x10) + 2x140

                                                     = 640 + 280

                                                     = 920 square cm

Hence,

The required surface area =  920 square cm.

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A regular polygon is a polygon with all sides and angles congruent. It exhibits symmetry and uniformity in its sides and angles, creating a visually appealing shape.

A polygon with all sides and angles congruent is called a regular polygon. In a regular polygon, all sides have the same length, and all angles have the same measure. This uniformity in the lengths and angles of the polygon's sides and angles gives it a symmetrical and balanced appearance.

Regular polygons are named based on the number of sides they have. Some common examples include the equilateral triangle (3 sides), square (4 sides), pentagon (5 sides), hexagon (6 sides), and so on. The names of regular polygons are derived from Greek or Latin numerical prefixes.

In a regular polygon, each interior angle has the same measure, which can be calculated using the formula:

Interior angle measure = (n-2) * 180 / n

Where n represents the number of sides of the polygon.

The sum of the interior angles of any polygon is given by the formula:

Sum of interior angles = (n-2) * 180 degrees

Regular polygons have several interesting properties. For instance, the

exterior angles of a regular polygon sum up to 360 degrees, and the measure of each exterior angle can be calculated by dividing 360 degrees by the number of sides.

Regular polygons often possess symmetrical properties and are aesthetically pleasing. They are commonly used in design, architecture, and various mathematical applications.

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Answer:

2.3=v+0.47v=

We move all terms to the left:

2.3-(v+0.47v)=0

We add all the numbers together, and all the variables

-(+1.47v)+2.3=0

We get rid of parentheses

-1.47v+2.3=0

We move all terms containing v to the left, all other terms to the right

-1.47v=-2.3

v=-2.3/-1.47

v=1+0.83/1.47

Answer:

\(v = 1.564\)

Step-by-step explanation:

\(1v + 0.47v = 2.3\)

\( = > 1.47v = 2.3\)

\( = > v = \frac{2.3}{1.47} = 1.564\)

1) Translation

2) Rotation

3) Translation

4) None of these

18. An infant weighs 11 pounds which is equivalent to 4.98 kg. Using the 100/50/20 Rule, the required amount of fluid per day for an infant between 11-20 kg is 50 ml/kg/day. So, the required amount of fluid per day in ml is 4.98 kg x 50 ml/kg/day = 249 ml/day.

19. A child weighs 31lbs and 8 ozs which is equivalent to 14.21 kg. Using the 100/50/24 Rule, the required amount of fluid per day for a child over 20 kg is 20 ml/kg/day. So, the required amount of fluid per day in ml is 14.21 kg x 20 ml/kg/day = 284.2 ml/day.

If no oral fluids are consumed, the hourly IV flow rate to maintain proper hydration would be: 284.2 ml/day / 24 hours/day = 11.8 ml/hour.

The question is about fluid requirements for infants and children, and it is using the 100/50/20 Rule for Daily Fluid Requirements (DFR) to calculate the required amount of fluid per day for different weight ranges. The 100/50/20 Rule is a guideline used to determine the appropriate amount of fluid that infants and children should receive on a daily basis based on their weight. The rule states that for infants and children up to 10 kg, the recommended fluid intake is 100 ml/kg/day, for those between 11-20 kg it is 50 ml/kg/day, and for those over 20 kg it is 20 ml/kg/day.

The question also asking about the hourly IV flow rate to maintain proper hydration if no oral fluids are consumed.

This subject is part of pediatrics, more specifically in the field of fluid and electrolyte balance and management.

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