The field day committee is purchasing bottles of water for field day. If they are looking for the best deal, which packs should they purchase?

The population for this study is all registered voters from New York City.

What  is the population for a study?

it is given that the poll has been carried out among 1000 registered voters from New York City. These 1000 people have been selected randomly from the population of the study.

The available study subset of the target population for a study, for instance, schizophrenics in the researcher's hometown, is known as the study population or population of the study. The sample chosen for the study is known as the study sample.

Study Population In This Case

In this case, out of all the New Yorkers, only the registered voters of the city are eligible for making the target subset. Hence, the registered voters of the New York city make the study population. Furthermore, since 1000 random registered voters are chosen for the poll, those 1000 registered voters make the study sample.

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Answer: the price of one senior citizen ticket is $10, and the price of one student ticket is $5.

Step-by-step explanation:

Let's assume the price of one senior citizen ticket is 's' dollars and the price of one student ticket is 't' dollars.

According to the given information, on the first day, the school sold 7 senior citizen tickets and 11 student tickets, totaling $125. This can be expressed as the equation:

7s + 11t = 125 ---(1)

On the second day, the school sold 14 senior citizen tickets and 8 student tickets, totaling $180. This can be expressed as the equation:

14s + 8t = 180 ---(2)

We now have a system of two equations with two variables. We can solve this system to find the values of 's' and 't'.

Multiplying equation (1) by 8 and equation (2) by 11, we get:

56s + 88t = 1000 ---(3)

154s + 88t = 1980 ---(4)

Subtracting equation (3) from equation (4) eliminates 't':

(154s + 88t) - (56s + 88t) = 1980 - 1000

98s = 980

s = 980 / 98

s = 10

Substituting the value of 's' back into equation (1), we can solve for 't':

7s + 11t = 125

7(10) + 11t = 125

70 + 11t = 125

11t = 125 - 70

11t = 55

t = 55 / 11

t = 5

Therefore, the price of one senior citizen ticket is $10, and the price of one student ticket is $5.

Answer:

the roots of f(x) = (x+5)3(x-9)2(x+1) are -5 (with a multiplicity of 3), 9 (with a multiplicity of 2)

Step-by-step explanation:

To find the roots of f(x) = (x+5)3(x-9)2(x+1), we need to set the polynomial equal to zero and solve for x.

f(x) = (x+5)3(x-9)2(x+1)

Setting f(x) equal to zero, we get:

0 = (x+5)3(x-9)2(x+1)

The roots of the polynomial are the values of x that make f(x) equal to zero. Therefore, the roots of the polynomial are:

-5 (with a multiplicity of 3), 9 (with a multiplicity of 2), and -1

Therefore, the roots of f(x) = (x+5)3(x-9)2(x+1) are -5 (with a multiplicity of 3), 9 (with a multiplicity of 2),

Due to the fact that there are an unlimited number of values that are either more than or less than the variable x.

Rationales are intelligent, independent, and capable of both stubbornness and skepticism. Rationales typically spend a lot of time and effort trying to comprehend the manner in which the universe of ideas works.

Every number that can be stated as a percentage or as a portion of a whole integer is considered rational. (For instance, -7, 2/3, and 3.75) Irrational numbers are those that can't be stated as a ratio of two integers or a fraction. They cannot be expressed in any finite way.

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Answer:

7

Step-by-step explanation:

12x+6=90

12x=84

x=7

 In conclusion, the Poisson distribution was successfully applied by Student (1907) to the study of errors in counting yeast cells or blood corpuscles with a haemacytometer. It is possible to calculate an approximate 95% confidence interval for each estimated count, as well as to compare observed and expected counts.

The Poisson distribution was first applied to the study of errors made in counting yeast cells or blood corpuscles with a haemacytometer by Student (1907). The study involved the preparation of four different concentrations of a mixture of yeast cells, water, and gelatin spread on a glass. Counts were made on 400 squares and the data summarized in the following table.

An approximate 95% confidence interval for each estimate can be calculated using the Poisson distribution. For each of the four concentrations, the lower bound of the confidence interval is given by the formula x - 1.96*sqrt(x) and the upper bound is given by the formula x + 1.96*sqrt(x), where x is the observed count for that concentration.

It is also possible to compare the observed counts with the expected counts for each concentration. The expected count for each concentration is given by the formula λ = n*p, where n is the number of squares and p is the probability of an event occurring in a single square. The expected counts can be compared to the observed counts to determine whether they are in agreement with the Poisson distribution.

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Answer: if its 87% then its 0.87, but if its 87 then its 87.00

Step-by-step explanation: I'm doing these questions for a challenge :D

The statement "D. Given any two distinct lines in the Cartesian plane, the two lines will either be parallel or perpendicular" is NOT true.

A. The statement is true. The ratios of the vertical rise to the horizontal run, also known as the slopes, of any two distinct nonvertical parallel lines are equal. This is one of the properties of parallel lines.

B. The statement is true. If two distinct nonvertical lines are parallel, then they have the same slope. Parallel lines have the same steepness or rate of change.

C. The statement is true. Given two distinct lines in the Cartesian plane, the two lines will either intersect at a point or they will be parallel and never intersect. These are the two possible scenarios for distinct lines in the Cartesian plane.

D. The statement is NOT true. Given any two distinct lines in the Cartesian plane, they may or may not be parallel or perpendicular. It is possible for two distinct lines to have neither parallel nor perpendicular relationship. For example, two lines that have different slopes and do not intersect or two lines that intersect but are not perpendicular to each other.

Therefore, the statement "D. Given any two distinct lines in the Cartesian plane, the two lines will either be parallel or perpendicular" is the one that is NOT true.

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For the matrix the true statement is given by option d. Both A and B are false.

Let's analyze each statement of the matrix as follow,

A) If A is a 3 times 5 matrix and T is a transformation defined by T(x) = Ax, then the domain of T is R⁵.

This statement is false.

The domain of the transformation T is not R⁵.

The domain of T is determined by the dimensionality of the vectors x that can be input into the transformation.

Here, the matrix A is a 3 times 5 matrix, which means the transformation T(x) = Ax can only accept vectors x that have 5 elements.

Therefore, the domain of T is R⁵, but rather a subspace of R⁵.

B) If A is a 3 times 2 matrix, then the transformation x right arrow Ax cannot be onto.

This statement is also false.

The transformation x → Ax can still be onto (surjective) even if A is a 3 times 2 matrix.

The surjectivity of a transformation depends on the rank of the matrix A and the dimensionality of the vector space it maps to.

It is possible for a 3 times 2 matrix to have a rank of 2,

and if the codomain is a vector space of dimension 3 or higher, then the transformation can be onto.

Therefore, as per the matrix both statements are false, the correct answer is d. Both A and B are false.

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The above question is incomplete, the complete question is:

Which of the following best characterizes the following statements:

A) If A is a 3 times 5 matrix and T is a transformation defined by T(x) = Ax, then the domain of T is R^5

B) If A is a 3 times 2 matrix, then the transformation x right arrow Ax cannot be onto

a. Only A is true

b. Only B is true

c. Both A and B are true

d. Both A and B are false

The density of metal is 7022.2 kg/m^3 and the metal is not gold. We were cheated.

In the given question, we purchase a rectangular piece of metal that has dimensions 5.0 x 15.0 x 30.0 mm and mass 0.0158 kg.

The seller tells you that the metal is gold.

We have to find the density of piece.

Then Given ,

Mass = 0.0158 kg

Volume = 5.0 mm * 15.0 mm * 30.0 mm

Density = mass / volume

Putting the values

Density = 1.58 * 10^(-2) kg/(5.0*10^{-3}*15.0*10^{-3}*30.0*10^{-3}) m^3

Density = 7022.2 kg/m^3

The density of metal is 7022.2 kg/m^3 and the metal is not gold. We were cheated.

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Billy's dosage drops to this level in 4.384 days days

The half life of the drug is calculated from the formula

N(t) = N'(1/2)^(t/t')

where

N(t) = quantity of the substance remaining = 15 mg

N' = initial quantity of the substance = 100 mg

t = time elapsed

t' = half life of the substance = 6

In the problem we have that

15 = 100 (0.5)^12/t'

15 / 100 =  (0.5)^12/t'

take natural logarithm of both sides

㏑(0.15) = 12/t' ㏑(0.5)

divide through by natural log of 0.5

-1.8971 / ㏑(0.5) = 12/t'

12/t' = 2.737

t' = 12 / 2.737

t' = 4.384 days

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Answer:

8

Step-by-step explanation:

She has 8 because 3*4=12 so act like this is a fraction and multiply 2 by 4 and you would get 8

Therefore, based on the given information, the estimated age of the tomb is approximately 3,970 years.

To estimate the age of the tomb based on the radioactive carbon-14 (C-14) content in the cypress beam, we can use the decay equation:

A = A₀ * e*(kt)

Where:

A = Final amount of radioactive substance (55% of the original C-14 content)

A₀ = Initial amount of radioactive substance (100% of the original C-14 content)

k = Decay constant (ln(2) / half-life of C-14)

t = Time (age of the tomb)

Given that the half-life of C-14 is approximately 5600 years, we can calculate the decay constant:

k = ln(2) / 5600 years

Now we can plug in the values:

0.55A₀ = A₀ * e*((ln(2) / 5600 years) * t)

Dividing both sides by A₀:

0.55 = e*((ln(2) / 5600 years) * t)

Taking the natural logarithm of both sides:

ln(0.55) = (ln(2) / 5600 years) * t

Now we can solve for t, the age of the tomb:

t = (ln(0.55) * 5600 years) / ln(2)

Evaluating the expression:

t ≈ 3,970 years

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Answer: slope = 4/3

Step-by-step explanation:

(24-12)/(6- -3)

= 12/9

= 4/3

Slope of graph is -4 and y- intercept is -8.

What is slope of graph?

In math, slope is employed to explain the gradient and direction of lines.

Main Body:

The slope of a line is the ratio of rise to run. Hence, here are the steps to find slope from a graph.

        "up", then the rise is positive;

          "down", then the rise is negative.

           "right", then the run is positive;

           "left", then the run is negative.

hence slope of graph = -8/2 = 4.

And y intercept is point cutting y-axis , so it is -8.

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Answer:

8cm

Step-by-step explanation:

The correlation coefficient that represents the strongest relationship between two variables is -0.75.

In correlation coefficients, the absolute value indicates the strength of the relationship between variables. The strength of the association increases with the absolute value's proximity to 1.

The maximum absolute value in this instance is -0.75, which denotes a significant negative correlation. The relevance of the reverse correlation value of -0.75 is demonstrated by the noteworthy unfavorable correlation between the two variables.

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Answer:

1st choice

Step-by-step explanation:

(r² -4r + 5 - r² -2r + 8) / (r - 4)

= (-6r + 13) / (r - 4)

The description of the motion of the ant which is a geometric series is as follows;

a) After covering 63/32 meters, the ant will have made 6 turns

b) The distance the ant will eventually travel is 2 meters

Geometric series is an infinite sum of terms in which the ratio between consecutive terms is a constant.

The distances traveled by the ant is a geometric progression of the form;

The sum of the distance is given by the sum of the geometric progression as follow;

\(S_n = \dfrac{a\cdot \left(1 - r^n \right)}{(1 - r)}\)

Where;

aₙ = The distance traveled in the nth turn

Sₙ = The sum of the distances

a = The first term = 1 meter

r = The value of the common ratio = 0.5 meter ÷ 1 meter = 0.5

a) The number of turns the ant will have made after covering a distance of 63/32 meters is therefore;

\(S_n =\dfrac{63}{32} = \dfrac{1\times \left(1 - 0.5^n \right)}{(1 - 0.5)}\)

31.5 = 32 × (1 - 0.5ⁿ)

32 × 0.5ⁿ = 32 - 31.5 = 0.5

0.5ⁿ = 0.5 ÷ 32

n = ln(0.5 ÷ 32) ÷ ln(0.5) = 6

b) The distance the ant travels eventually is given by the formula for the sum to infinity of a geometric progression as follows;

\(S_{\infty} = \dfrac{a}{1-r}\)

Which gives;

\(S_{\infty} = \dfrac{1}{1-0.5} = 2\)

The distance the ant eventually travels is 2 meters

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I think the answer is y=2(17)+1.25.

Answer:

$2+$1.25x=$17

Step-by-step explanation:

You have to add the $2 to the $1.25 for each mile then multiply that by x to get $17. I think but I could be wrong

Answer:

A.600

B.980

C.350

D.210

Step-by-step explanation:

just see what the arrow

The combination of transformation seen is

Reflection,then Rotation

Option A

Generally,Reflection is simply defined as  the change in travelling direction of a wavefront at a collusion between two variant media.

Rotation: In a lame man term is simply the action of rotating on an axis center.

We find that rotational images are formed at reflection

Therefore, the combination of transformation seen is

Reflection,then Rotation

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Answer:

0.45

Step-by-step explanation:

You divided 2.25 by 5

To find the probability of selecting a blue ball first and a yellow ball second (with replacement) from a box containing 3 red balls, 5 yellow balls, and 2 blue balls.

The probability of selecting a blue ball on the first draw is 2/10, as there are 2 blue balls out of a total of 10 balls in the box.

Since we are replacing the ball after each draw, the probability of selecting a yellow ball on the second draw is also 5/10, as there are still 5 yellow balls remaining in the box.

To find the probability of both events occurring, we multiply the probabilities together:

Probability of selecting a blue ball first = 2/10

Probability of selecting a yellow ball second = 5/10

Probability of both events occurring = (2/10) * (5/10) = 1/10

Therefore, the probability of selecting a blue ball first and a yellow ball second (with replacement) from the given box is 1/10.

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Step-by-step explanation:

284.8 = 282.2 ( b)^1             1 is the number of years....looking for 'b'

284.8 / 282.2 = b = ~ 1.009

P(t) = 282.2 ( 1.009)^t         where P(t) is in millions and :

The variable t represents the number of years since July of 2000. Round your value of b to the nearest thousandth.

Answer:

69

Step-by-step explanation:

2y + x = 180 ( Linear Pair)

As x = 42

2y + 42 = 180

2y = 180- 42

2y = 138

y = 138/2

y = 69

The perimeter of the room will be \(56x^6y^5z^3\) feet

A square is quadrilateral with 4 sides. The formula for calculating the area of the shape is given as:

A = L²

Given the following parameters

A = \(196x^{12}y^{10}z^6\)

Substitute

L²\(=196x^{12}y^{10}z^6\)
\(L=\sqrt{196x^{12}y^{10}z^6}\\L=14x^6y^5z^3\)

Determine the perimeter

Perimeter = 4L

Perimeter = 4(14x^6y^5z^3)

Perimeter = \(56x^6y^5z^3\)

Hence the perimeter of the room will be \(56x^6y^5z^3\) feet

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Answer:

d

Step-by-step explanation:

Answer: It’s 81

Step-by-step explanation:

I think it’s 81 because u use the distributive property (xy)^a=x^a y^a

and in the situation you change it into 3^4(x^7)^4 and u simplify 3^4 and get 81 and then just multiply 7 and 4 and your answer is 81x^28. 81 is c in the equation

We want to find an equivalent expression to  (3x^7)^4 of the form cx^n, and we want to find the value of c.

The equivalent expression is:

\(81*x^{28}\)

So the value of c is:

c = 81.

First, we need to remember two properties of exponents.

The exponents are distributive under multiplications.

And we know that:

\((a^n)^m = a^{n*m}\)

Using these two properties, we can rewrite:

\((3x^7)^4 = (3^4)*(x^{7*4}) = 81*x^{28}\)

So the equivalent expression is:

\(81*x^{28}\)

Then we have c = 81.

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The solution to the given differential equation is: x⁷ cos y = y + C

where C is the constant of integration

To solve the given differential equation:

\(\[7x^6\cos y dx - dy = 0\]\)

We can separate the variables and integrate both sides.

Separating variables, we can write the equation as:

\(\[7x^6\cos y dx = dy\]\)

Now, we can integrate both sides with respect to their respective variables:

\(\[\int 7x^6\cos y dx = \int dy\]\)

Integrating the left side:

\(\[\int 7x^6\cos y dx = 7 \int x^6 \cos y dx\]\)

To integrate \(\(x^6 \cos y\)\)with respect to x, we can use integration by parts.

Let's take u = x⁶ and \(\(dv = \cos y dx\)\).

Differentiating u with respect to \(\(x\) gives \(du = 6x^5 dx\).\)

Integrating dv with respect to x gives \(\(v = \int \cos y dx = \cos y \cdot x\).\)

Applying the integration by parts formula:

\(\[\int x^6 \cos y dx = u \cdot v - \int v \cdot du\]\)

Substituting the values:

\(\[\int x^6 \cos y dx = x^6 \cdot \cos y \cdot x - \int (\cos y \cdot x) \cdot (6x^5 dx)\]\)

Simplifying:

\(\[\int x^6 \cos y dx = x^7 \cos y - 6 \int x^6 \cos y dx\]\)

Moving the integral term to the left side:

\(\[7 \int x^6 \cos y dx = x^7 \cos y\]\)

Dividing both sides by 7:

\(\[\int x^6 \cos y dx = \frac{x^7 \cos y}{7}\]\)

Now, substituting this result back into our original equation:

\(\[7 \int x^6 \cos y dx = dy\]\)

\(\[\frac{7x^7 \cos y}{7} = dy\)

Simplifying:

x⁷ cos y = dy

Finally, the solution to the given differential equation is:

x⁷ cos y = y + C

where C is the constant of integration.

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