Order from low to high

Answer:

If im not wrong it should be -20609077.125000000002128

Step-by-step explanation:

if im wrong im sorry (-///////-)

The portion of the field that is outside of the circular area is 9,398.4 yd².

The radius of the circle is calculated as follows;

circumference of the circle = 16π yards

circumference = 2πr

where;

2πr = 16π

r = 8 yards

The area of the circular portion is calculated as follows;

A = πr²

A = π x (8 yd)²

A = 201.6 yd²

The total area of the field is calculated as follows;

A = 120 yds  x  80 yds

A = 9,600 yd²

The portion of the field that is outside of the circular area is calculated as follows;

= 9,600 yd² - 201.6 yd²

= 9,398.4 yd²

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Answer: 20 / 29

Step-by-step explanation:

cos is defined as adjacent over hypotenuse, which simplified means whatever side that its touching over the side that is diagonal. In this case, P is touching 20, and the hypotenuse is 29, therefore the answer is 20/29

Answer:

12.3 cm and 19.3 cm

The probability of exactly 14 members out of a sample of 20 adults aged 65 and over receiving a pneumococcal vaccination can be determined using the binomial probability formula.

In this scenario, we are dealing with a binomial setting, where we have a fixed number of trials (20 adults in the sample) and two possible outcomes for each trial (either receiving or not receiving a pneumococcal vaccination). The probability of success, denoted as "p," is the proportion of U.S. adults aged 65 and over who have received the vaccination, which is 70% or 0.7 in this case.

To find the probability of exactly 14 successes, we can use the binomial probability formula:

P(X = 14) = C(n, x) * \(p^x\) * \((1 - p)^{(n - x)}\)

Here, C(n, x) represents the binomial coefficient, which calculates the number of ways to choose x successes out of n trials. In this case, n = 20 and x = 14.

Calculating the probability:

P(X = 14) = C(20, 14) * \(0.7^{14}\)* \((1 - 0.7)^{(20 - 14)}\)

Using the binomial coefficient formula C(n, x) = n! / (x!(n - x)!), we can find the value of C(20, 14) to be 38760.

Substituting the values, we get:

P(X = 14) = 38760 * \(0.7^{14}\) * \(0.3^6\)

Evaluating this expression will give us the probability that exactly 14 members of the sample received a pneumococcal vaccination.

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Answer:

One solution.

Step-by-step explanation:

This question has different coefficients so it has one solution.

Answer:

Here :)

Step-by-step explanation:

Answer:

Yes, the expressions are equivalent

Step-by-step explanation:

Let's check it out:

=> -3x(5-4)+3(x-6)

Expanding brackets using distributive property.

=> -15x+12+3x-18

Combining like terms

=> -15x+3x+12-18

=> -12x-6

Yes, the expression is equivalent to -12x-6

Answer:

its A

Step-by-step explanation:

i took the test

The number of different paintings possible for the given figure is (3^66 + 3) / 6. after rotation.

To determine the number of different paintings possible, we need to consider the symmetries of the figure and apply the concept of Burnside's Lemma.

In this case, we have a figure with 66 disks that are to be painted in three different colors: blue, red, and green. We want to count the number of different paintings that can be obtained by rotating or reflecting the entire figure.

Let's analyze the symmetries of the figure:

1. Identity (no rotation or reflection): This symmetry leaves all the disks in their original positions. There is only one way to paint the figure in this case.

2. Rotation by 120 degrees clockwise: This symmetry can be achieved by rotating the figure one-third of a full rotation. Since we have three colors, each disk can be painted in any of the three colors independently. Therefore, there are 3^66 possible paintings that remain the same under this rotation.

3. Rotation by 240 degrees clockwise: This symmetry can be achieved by rotating the figure two-thirds of a full rotation. Similar to the previous case, there are 3^66 possible paintings that remain the same under this rotation.

4. Reflection along a vertical axis: This symmetry can be achieved by flipping the figure horizontally. Since the figure has an even number of disks, the reflection will result in the same pattern. Therefore, there is only one way to paint the figure that remains the same under this reflection.

5. Reflection along a horizontal axis: This symmetry can be achieved by flipping the figure vertically. Similar to the previous case, there is only one way to paint the figure that remains the same under this reflection.

6. Reflection along the main diagonal: This symmetry can be achieved by reflecting the figure along the main diagonal (from the top left to the bottom right). Again, since the figure has an even number of disks, the reflection will result in the same pattern. Therefore, there is only one way to paint the figure that remains the same under this reflection.

7. Reflection along the secondary diagonal: This symmetry can be achieved by reflecting the figure along the secondary diagonal (from the top right to the bottom left). Similar to the previous case, there is only one way to paint the figure that remains the same under this reflection.

Applying Burnside's Lemma, the number of distinct paintings is given by the average number of fixed points (paintings that remain the same) under each symmetry. Therefore, the total number of distinct paintings is:

(1 + 3^66 + 3^66 + 1 + 1 + 1) / 6 = (3^66 + 3) / 6

Calculating this expression may not be feasible due to the large exponent. Therefore, it is recommended to use a calculator or computer program to obtain the numerical value.

In conclusion, the number of different paintings possible for the given figure is (3^66 + 3) / 6.

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A line in ℝ² that does not pass through the origin is not closed under vector addition because vector addition can produce vectors that do not lie on the original line.

To illustrate why a line in ℝ² that does not pass through the origin is not closed under vector addition, we can consider the following example:

Let's take a line in ℝ² given by the equation y = x + 1, which does not pass through the origin (0, 0).

Now, suppose we have two vectors on this line: A = (1, 2) and B = (2, 3).

If we add these two vectors, A + B, we get (1, 2) + (2, 3) = (3, 5).

Now, let's examine the resulting vector (3, 5). Since the line y = x + 1 does not pass through the origin, (0, 0) is not on this line. However, (3, 5) lies on the line y = x + 1.

Therefore, the resulting vector (3, 5) is not on the original line y = x + 1.

This demonstrates that the line is not closed under vector addition because the addition of vectors from the line can result in a vector that is not on the line.

In conclusion, a line in ℝ² that does not pass through the origin is not closed under vector addition because vector addition can produce vectors that do not lie on the original line.

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Answer:

C. Different sample proportions would result each time, but for either sample size, they would be centered (have their mean) at the true population proportion.

Step-by-step explanation:

From the given information;

A political polling agency wants to take a random sample of registered voters and ask whether or not they will vote for a certain candidate.

A random sample is usually an outcome of any experiment that cannot be predicted before the result.

SO;

One plan is to select 400 voters, another plan is to select 1,600 voters

If the study were conducted repeatedly (selecting different samples of people each time);

Different sample proportions would result each time, but for either sample size, they would be centered (have their mean) at the true population proportion.  This is because a sample proportion deals with random experiments that cannot be predicted in advance and they  are  quite known to be centered about the population proportion.

Answer:

0.71428571428

Step-by-step explanation:

30 divided by 42 = 0.71428571428

Hence, in answering the stated question, we may say that We can travel slope intercept down 3 units and right 1 unit to acquire another point on the line because the slope is -3.

The intersection point in mathematics is the point on the y-axis where the slope of the line intersects. a point on a line or curve where the y-axis intersects. The equation for the straight line is Y = mx+c, where m represents the slope and c represents the y-intercept. The intercept form of the equation emphasises the line's slope (m) and y-intercept (b). The slope of an equation with the intercept form (y=mx+b) is m, and the y-intercept is b. Several equations can be reformulated to seem to be slope intercepts. When y=x is represented as y=1x+0, the slope and y-intercept are both set to 1.

We must solve for y in order to find the slope-intercept form of the equation:

6x + 2y = 4

2y = -6x + 4

y = -3x + 2

As a result, the slope is -3 and the y-intercept is 2.

To graph the line, first plot the y-intercept at the point (0, 2). The slope can then be used to find another point on the line. We can travel down 3 units and right 1 unit to acquire another point on the line because the slope is -3.

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Answer:

Step-by-step explanation:

Quotient means result of division

anything raised to 0 is 1

(-3)^0 = 1

(-3)^2 = -3 * -3 = 9

Quotient = 1/9

Answer:

1/9

Step-by-step explanation:

The maximum quantity that can be reached in a quadratic model can be determined by finding the vertex of the quadratic function. In this case, with coefficients of 117t and -22.9906t^2, the maximum quantity can be calculated.

To find the maximum quantity in a quadratic model, we need to locate the vertex of the quadratic function. The vertex is the point where the quadratic curve reaches its maximum or minimum value. In a quadratic equation of the form ax^2 + bx + c, the x-coordinate of the vertex can be found using the formula x = -b / (2a). In this case, the coefficients of the quadratic model are 117t and -22.9906t^2. Since there is no constant term, we can disregard it in this calculation. By substituting the values into the formula, we find that the x-coordinate of the vertex is -117 / (2 * -22.9906) = 2.5415.

To determine the maximum quantity, we need to substitute this value back into the quadratic equation. However, since the problem statement does not provide the complete quadratic equation or the context for the variable t, we cannot calculate the exact maximum quantity. Therefore, the specific value of the maximum quantity cannot be determined without additional information.

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The most appropriate choice for percentage will be given by

Cost of fencing 1.1 foot = $5.995

Cost of sodding 1.1 sq. foot = $0.715

Total cost of fencing and sodding = $6.71

What is percentage?

Suppose there is a number and the number has to be expressed as a fraction of 100. The fraction is called percentage.

For example- 2% means \(\frac{2}{100}\)

Here,

Cost of fencing 1 foot = $5.45

10% of 1 foot = \(\frac{10}{100}\times 1\)

                     = 0.1 foot

1 foot + 10% of 1 foot = 1 + 0.1 = 1.1 feet

cost of fencing 1.1 foot = $5.45 \(\times\) 1.1 = $5.995

Cost of sodding 1 sq foot = $0.65

Cost of sodding 1.1 sq foot = $0.65 \(\times\) 1.1 = $0.715

Total cost of fencing and sodding = $(5.995 + 0.715)

                                                         = $6.71

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It necessary to apply the finite population correction factor (FPC) when a sample is a significant part of the population because for more than 5% of finite population the standard error in the estimated value will come to be too big.

The formula of FPC is

FPC =\(\sqrt{ (N-n)/(N-1)}\)

where N= population size

           n= sample size

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The probability of drawing a red tile on both draws would be (r/n) * (r/n) = r²/n².

To determine the probability of drawing a red tile on both draws, we need to know the number of red tiles and the total number of tiles in the bag. However, the description does not provide this information. If we assume that there are n total tiles in the bag, with r of them being red, the probability of drawing a red tile on the first draw would be r/n. Since the tile is replaced before the second draw, the probability of drawing another red tile would also be r/n.

Therefore, the probability of drawing a red tile on both draws would be (r/n) * (r/n) = r²/n². Without knowing the specific values of r and n, we cannot determine the exact probability.

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We're using `count` as a helper function to count the number of times the first bag appears in the second.

Multisets, also known as bags, can be represented as a list of pairs (x,n) in which n indicates the number of times x appears in the multiset.

Type bag `a=[(a,Int)]` is a set of this kind.

In the following activities, the bag representation's following characteristics can be considered.

However, your function definitions must maintain these characteristics for any multiset they create! 1.

In the list, each component x appears in at most one pair.

2. Each element that occurs in a pair has a positive counter.

A bag contains a bag b if every element that appears n times in b appears at least n times in

b. This function can be defined as follows:

```subbag:: Eq a => Bag a -> Bag a -> Boolsubbag [] _ = Truesubbag _ [] = Falsesubbag ((a,n):xs) b = if (n > count a b) then False else subbag xs b

where count a [] = 0count a ((b,m):ys) = if (a==b) then m else count a ys```Note:

Here, `subbag` is a recursive function that takes two bags as its input and returns a Boolean value indicating whether or not the first bag is included in the second.

We're using `count` as a helper function to count the number of times the first bag appears in the second.

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Step-by-step explanation:

(22 + (-6/20) × (214 - 10 ( -6/20)) - (284.75)

(22 - 6/20) × (214 + 60/20) - (284.75)

(22 - 0.3) × (214 + 3) - (284.75)

(21.7 × 217) - 284.75

4708.9 - 284.75

= 4424.15

The correct answer is d. 10 years.

To find out how many years it will take for Jiefei to double her initial investment, we can use the compound interest formula:
A = P(1 + r/n)^(nt)
Where:
A = final amount
P = initial investment
r = interest rate (in decimal form)
n = number of times interest is compounded per year
t = number of years
In this case, Jiefei's initial investment will double, so the final amount (A) will be 2 times her initial investment (P). The interest rate (r) is given as 7.125%, which is equivalent to 0.07125. Since the interest is compounded annually, n = 1.
So the equation becomes:
2P = P(1 + 0.07125/1)^(1*t)
Simplifying the equation:
2 = (1 + 0.07125)^t
Taking the natural logarithm of both sides:
ln(2) = ln(1 + 0.07125)^t
Using the logarithmic property:
ln(2) = t * ln(1 + 0.07125)
Solving for t:
t = ln(2) / ln(1 + 0.07125)
Using a calculator:
t ≈ 9.95 years
Rounding up to the nearest whole number, it will take approximately 10 years for Jiefei to double her initial investment.

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Answer:

2x - 6 ≥ 6(x-2) + 8

2x - 6 ≥ 6x - 12 + 8

6x - 2x ≤ - 6 + 4

4x ≤ -2

4x/4 ≤ -2/4

x ≤ -1/2

Interval Notation: (- ∞, -1/2]

The line starts from -1/2 with the arrow going to the left (decreasing). The endpoint or value from where it started, which is -1/2, should be shaded.  The inequality symbol x ≤ -1/2 represents the values at most or maximum -1/2.

Step-by-step explanation:

The number line representing the solution set for the inequality given is option C.

The inequality is 2x - 6 ≥ 6(x-2) + 8,

Solving for x,

2x - 6 ≥ 6(x-2) + 8

2x - 6 ≥ 6x - 12 + 8

6x - 2x ≤ - 6 + 4

4x ≤ -2

4x/4 ≤ -2/4

x ≤ -1/2

Therefore, the Interval Notation is (- ∞, -1/2]

This means that the all the values of x will be less than -1/2 or equal to it,

Therefore, the graph will be, the line starts from -1/2 with the arrow going to the left (decreasing).

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A p-value of 0.23 in the context of a clinical trial testing a vaccine's effectiveness suggests that the observed reduction in the percentage of individuals catching the virus, when comparing the vaccine group to the control group, is not statistically significant at conventional levels of significance (such as 0.05 or 0.01).

The p-value represents the probability of obtaining the observed data, or data more extreme, under the assumption that the null hypothesis is true.

In this case, the null hypothesis would typically state that there is no difference in the percentage of virus cases between the vaccine and control groups. A p-value of 0.23 indicates that there is a 23% chance of observing the reported reduction in cases or an even more substantial reduction if the null hypothesis were true.

Therefore, based solely on the p-value of 0.23, the best interpretation is that the observed reduction in virus cases could plausibly be due to random variation or chance, rather than a true effect of the vaccine. However, it is important to consider other factors, such as the study design, sample size, and clinical significance of the observed reduction, before drawing final conclusions about the vaccine's effectiveness.

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48630 is large should the sample be if the margin of error is to be less than $4 .

What does the term "margin of error" mean?

Margin of Error  = Z*Stdev/sqrt(n)

4 <= 0.90* 33/sqrt(n)

n >= (0.90* 33/2)^4 = 48630.17 OR 48630

So, n should be atleast 48630 so that margin of error is within $4

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Kylie has to try at most 3,024 different combinations in order to call Katerina if she does not dial repetitive phone numbers.

Kylie only recalls the first six numbers of Katerina's phone number, so she must guess the last four. Because she cannot repeat any of the numbers she has already successfully predicted, the first remaining digit has just nine viable alternatives (all digits from 0 to 9 except the one she already knows). Similarly, the second remaining digit has just eight options, the third has seven, and the fourth has six.

Therefore, the total number of possible combinations is:

9 x 8 x 7 x 6 = 3,024

This implies Kylie will have to try at most 3,024 different combinations to reach Katerina, provided she gets it right on the last try.

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The correct answer is OD. Although the word "then" appears in the statement, it is not used as a logical connective. So the statement is not compound.

The statement "If Laura sells her quota, then Marie will be happy" is a single declarative sentence. It consists of a conditional clause ("If Laura sells her quota") and a consequent clause ("then Marie will be happy"). However, these two clauses are not independent statements that can stand alone. Instead, they are connected in a cause-and-effect relationship. The word "then" in this context is not functioning as a logical connective, but rather as an indicator of the consequent clause.

A compound statement is formed by combining two or more independent statements using logical connectives such as "and," "or," or "if...then." In the given statement, there is no logical connective joining two independent statements.

Therefore, the statement is not compound.

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Answer:

$15.26

Step-by-step explanation:

First, 17.84 - 2.58 = 15.26

Hope this helps!

Answer:

anthony froze 3 1/4 of the meatball

To show that the given equations represent trigonometric identity statements, we will simplify each equation and demonstrate that both sides of the equation are equal.

Starting with sec²θ(1 - cos²θ):

Using the Pythagorean identity sin²θ + cos²θ = 1, we can rewrite sec²θ as 1 + tan²θ. Substituting this into the equation, we get:

(1 + tan²θ)(1 - cos²θ)

= 1 - cos²θ + tan²θ - cos²θtan²θ

= 1 - cos²θ(1 - tan²θ)

= sin²θ

Thus, the equation simplifies to sin²θ, which is a trigonometric identity.

For cosx(secx - cosx) = sin²x:

Using the reciprocal identities secx = 1/cosx and tanx = sinx/cosx, we can rewrite the equation as:

cosx(1/cosx - cosx)

= cosx/cosx - cos²x

= 1 - cos²x

= sin²x

Hence, the equation simplifies to sin²x, which is a trigonometric identity.

Considering cosθ + sinθtanθ = secθ:

Dividing both sides of the equation by cosθ, we obtain:

1 + sinθ/cosθ = 1/cosθ

Using the identity tanθ = sinθ/cosθ, the equation becomes:

1 + tanθ = secθ

This is a well-known trigonometric identity, where the left side is equal to the reciprocal of the right side.

Simplifying (1 - cos∝)(cosec∝ + cot∝):

Expanding the expression, we have:

cosec∝ - cos∝cosec∝ + cot∝ - cos∝cot∝

= cot∝ - cos∝cot∝ + cosec∝ - cos∝cosec∝

= cot∝(1 - cos∝) + cosec∝(1 - cos∝)

= cot∝tan∝ + cosec∝sec∝

= 1 + 1

= 2

Thus, the equation simplifies to 2, which is a constant value.

In summary, we have analytically shown that the given equations represent trigonometric identity statements by simplifying each equation and demonstrating that both sides are equal.

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