a tower that is 126 feet tall casts a shadow 139 feet long. find the angle of elevation of the sun to the nearest degree

A parameter can change for a set population when there is a change in the population distribution or when the population is no longer considered "set". A parameter is a fixed numerical characteristic of a population that is measured by a statistic.

When there is a change in the distribution of a population, the parameter that describes the population will change. For example, the mean of a population will change if there is a shift in the distribution of scores. Similarly, the standard deviation will change if there is a change in the variability of scores.

A parameter can also change if the population is no longer considered "set". For example, if a population is defined as all the residents of a particular city, the parameter will change if people move in or out of the city. In this case, the parameter can be thought of as a snapshot of the population at a particular point in time.

In conclusion, a parameter can change for a set population when there is a change in the population distribution or when the population is no longer considered "set".

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Answer:

Step-by-step explanation:

a₂ - a₁ = 20 - 4 = 16

a₃ - a₂ = 100 - 16 = 84

Since a₂ - a₁ ≠ a₃ - a₂, the sequence is not arithmetic.

a₂/a₁ = 20/4 = 5

a₃/a₂ = 100/20 = 5

Since a₂/a₁ = a₃/a₂ = 5, the sequence is geometric with a common ratio of 5.

Answer:

a

Step-by-step explanation:

you have to multply

Answer:

A

Step-by-step explanation:

y-int: 140

slope: -4

to find the slope u gotta use the (y2-y1)/(x2-x1) formula

120-140 = -20

5-0 = 5

-20/5 = -4

We can say that the probability of a household donating to both stations is likely lower than the probability of a household donating only to the public radio station, as donating to both stations would require a higher level of financial commitment.

To determine the probability of a household not donating to the public television station given that it donates to the public radio station, we would need to have data on the number of households that donate to both stations as well as the number of households that only donate to the public radio station. Without this information, it is not possible to calculate the probability.

However, we can say that the probability of a household donating to both stations is likely lower than the probability of a household donating only to the public radio station, as donating to both stations would require a higher level of financial commitment. To answer your question about the probability a household does not donate to the public television station given that they donate to the public radio station, we would need more information. Specifically, we would need the joint probability of donating to both stations and the probability of donating to the public radio station.

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Answer:

A is the correct answer

Answer:

A =72 in^2

When dilated

    =1152 in ^2

Step-by-step explanation:

The area of the triangle is

A = 1/2 bh

We need to convert the units to match

2 ft= 24 inches

A = 1/2 ( 24*6)

A = 1/2 (144)

A =72 in^2

When dilated 6 inches *4 = 24 inches

                      24 inches *4 = 96 inches

A = 1/2 ( 96*24)

   = 1/2(2304)

    =1152 in ^2

Given that the mean mass of 36 sample packages is 1.403kg and there is a standard deviation of 0.01  kg

a. The estimated population mean is equal to the sample's mean mass.  

    The estimated population mean is 1.403 kg

b. The sample mean, sample standard deviation and t-distribution will all

    be used to calculate a 95% confidence range for the population    

    mean.  

    The population mean is between 1.399 kg and 1.406 kg

(a) We have a mean mass of the sample = 1.403kg and due to the rules of statistical inference, the estimated population mean is equal to the sample mean.

Therefore, the estimated population mean is 1.403 kg.

(b) We have to determine the 95% confidence interval for the population mean, we can use the formula:

Confidence interval = sample mean ± (critical value) × (standard deviation / √sample size)

Considering the sample size is 36, the critical value can be obtained in the t-distribution table or a statistical calculator. For a 95% confidence level with 35 degrees of freedom (n - 1), the critical value is approximately 2.030.

Now we can calculate the confidence interval:

Confidence interval = 1.403 ± (2.030) × (0.01 / √36)

Confidence interval = 1.403 ± (2.030) × (0.01 / 6)

Confidence interval = 1.403 ± (2.030) × (0.0016667)

Confidence interval = 1.403 ± 0.00338

Hence, rounding to three decimal places, the 95% confidence interval for the population mean is between 1.399 kg and 1.406 kg.

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When added correctly, you will come to the answer of 959,959.

hope this helped, dont forget to mark this answer as the brainliest!!!!

the values of x and y that make the points (1,2,3), (5,7,1), and (x,y,2) collinear are x = 2 and y = 4.

Let's consider the direction ratios of the given points:

Point 1: (1, 2, 3)

Direction ratios: (1-0, 2-0, 3-0) = (1, 2, 3)

Point 2: (5, 7, 1)

Direction ratios: (5-1, 7-2, 1-3) = (4, 5, -2)

Point 3: (x, y, 2)

Direction ratios: (x-1, y-2, 2-1) = (x-1, y-2, 1)

Since the direction ratios should be proportional, we can set up the following proportion:

(1, 2, 3) / (4, 5, -2) = (x-1, y-2, 1) / (4, 5, -2)

This gives us the following ratios:

1/4 = (x-1)/4

2/5 = (y-2)/5

3/-2 = 1/-2

Simplifying these ratios, we get:

1 = x - 1

2 = y - 2

3 = 1

Solving these equations, we find:

x - 1 = 1

x = 2

y - 2 = 2

y = 4

Therefore, the values of x and y that make the points (1,2,3), (5,7,1), and (x,y,2) collinear are x = 2 and y = 4.

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Answer:

\(\theta=30.285^{\circ}\)

Step-by-step explanation:

The range of a projectile is given by :

\(R=\dfrac{u^2\sin2\theta}{g}\)

Put R = 20 m, u = 15 m/s and finding the value of angle of projection

So,

\(R=\dfrac{u^2\sin2\theta}{g}\\\\\sin2\theta=\dfrac{Rg}{u^2}\\\\\sin2\theta=\dfrac{20\times 9.8}{15^2}\\\\\sin2\theta=0.871\\\\2\theta=\sin^{-1}(0.871)\\\\2\theta=60.57\\\\\theta=30.285^{\circ}\)

So, the required angle of projection is equal to \(30.285^{\circ}\).

Answer:

(4x - 10) = 58  

Step-by-step explanation:

Problem? ?   If   (4x - 10) - 58 = 0  

        (4x -10) - 58 +58 = 0 + 58             Add 58 to both side of the equation  

   (4x - 10) = 58        

Interest groups facilitate citizen participation in governance by mobilizing people to take collective action through voting, fundraising, and informing the public and elected officials about their issues.

Higher Placement The College Board's Advanced Placement Program makes a college-level course and exam in United States Government and Politics available to high school students.

By organizing people to take collective action through voting, fundraising, and informing the public and elected officials about their issues, interest groups enable citizen participation in governance.

a group of individuals united by a shared interest or objective and working to sway public policy. group leaders. As adolescents gain knowledge, they frequently form their own groups. government.

Therefore, interest groups facilitate citizen participation in governance by mobilizing people to take collective action through voting, fundraising, and informing the public and elected officials about their issues.

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Based on the calculations, the perimeter of this regular polygon is equal to 7.5 units.

A polygon can be defined as a two-dimensional geometric shape that comprises straight line segments and a finite number of sides. Also, some examples of a polygon include the following:

Since this polygon is a regular polygon with each of its sides being equal, we have:

3(x - 1) = 5x - 6

3x - 3 = 5x - 6

5x - 3x = 6 - 3

2x = 3

x = 3/2

x = 1.5.

The measure of each of its sides is given by:

3x - 3 = 5x - 6

3(1.5) - 3 = 5(1.5) - 6

4.5 - 3 = 7.5 - 6

1.5 = 1.5

Each side, a = 1.5 units.

Now, we can determine the perimeter of this regular polygon:

Perimeter of pentagon = 5a

Perimeter of pentagon = 5 × 1.5

Perimeter of pentagon = 7.5 units.

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Answer:

v=-155

Step-by-step explanation:

167 = 12 - v

subtract both sides by 12

155= -v

multiply both sides by -1

-155= v

(a) To find the

constant

A, we need to integrate the given pdf from 0 to 1 and set it equal to 1, since the total

probability

of all possible outcomes must be 1:

∫[0,1] A(1/x) dx = 1

Using the fact that ln(1/x) is the antiderivative of 1/x, we get:

A[ln(x)]|[0,1] = 1

A[ln(1) - ln(0)] = 1

A(0 - (-∞)) = 1

A = 1

Therefore, the constant A is 1.

(b) The expected capacity of the storage tank is the expected value of the random variable, which is given by:

E(X) = ∫[0,1] x f(x) dx

Using the given pdf, we get:

E(X) = ∫[0,1] x (1/x) dx = ∫[0,1] dx = 1

Therefore, the expected capacity of the storage tank is 1 thousand gallons.

(c) Let C be the capacity of the tank in thousands of gallons. Then, the probability that the supply is exhausted in a given week is the probability that the weekly sales exceed C, which is given by:

P(X > C) = ∫[C,1] f(x) dx

Using the given pdf, we get:

P(X > C) = ∫[C,1] (1/x) dx = ln(1/C)

We want P(X > C) = 0.01, so we solve the equation ln(1/C) = 0.01 for C:

ln(1/C) = 0.01

1/C = e^0.01

C = 1/e^0.01

Rounding this to 3 decimal places, we get:

C ≈ 0.990

Therefore, the capacity of the tank must be at least 0.990 thousand gallons to ensure that the probability of the supply being exhausted in a given week is no more than

0.01

.

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The minimum perimeter of a rectangle with an area of 80 ft2 is 56 ft. The dimensions of this rectangle would be 8 ft x 10 ft.

explanation: Let length be L and breadth be B of the rectangular room. A = L × B, given A = 80 ft² (Area of the room)The perimeter of the rectangle, P = 2(L + B) = 2L + 2BTo minimize P, we need to express one variable in terms of the other.

Let's consider L as the variable, and write B in terms of L from the given equation.=> B = (A/L)Therefore, P = 2L + 2B= 2L + 2(A/L) => P = 2(L² + 40/L)Differentiate P w.r.t L to find the critical point.= 2[(d/dL)(L²) + (d/dL)(40/L)]= 2(2L – 40/L²)For the critical point, dP/dL = 0=> 2L – 40/L² = 0=> L = ±2√10

Therefore, L = 2√10 (since L cannot be negative)Thus, B = (A/L) = 80/(2√10) = 4√10The dimensions of the room are 2√10 × 4√10 = 8.94ft × 35.76ft (rounded to the nearest hundredth).

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Answer: A and D

Step-by-step explanation:because my teacher told me

Yes, Dr. Lawrence is collecting a representative sample.

The term representative sample is a term that is used to describe a group of individuals who are selected from a population and that are meant to represent the population as a whole. The sample that Dr. Lawrence is collecting is representative because she is selecting 55 women and 45 men from the university. This means that the sample is reflective of the proportion of men and women in the university as a whole.

Dr. Lawrence is the director of counseling services at her university. She is planning to conduct a survey of 100 students at the university to see how aware they are of the counseling services that are offered at the university. She wants the proportion of men and women in her sample to reflect the proportion in the university as a whole (55% women and 45% men).

To increase the probability of a representative sample, Dr. Lawrence could use a different sampling method, such as random sampling or stratified sampling, that ensures that all members of the population have an equal chance of being selected for the sample.

Dr. Lawrence plans to stand in the student union and ask people to participate until she has given the survey to 55 women and 45 men. Thus, Dr. Lawrence is collecting a representative sample.

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Answer:

X= -1

Step-by-step explanation:

2x+5=1(x+4)

2x+5=1x+4

2x-1x=-5+4

x=-1

Answer:

the aswer is 154

Step-by-step explanation:

multiple

Answer:

3 and half

Step-by-step explanation:

half of seven is 3.5

The algebraic product modelled by each diagram, we need to multiply the values represented by each color. In this case, we have green as "x", white as "negative x", and red as a whole number.

One green cube and one white cube:
The product is (x) * (-x) = -x^2
Diagram with two green cubes and one red cube:
The product is (x * x) * (whole number) = x^2 * (whole number)
Diagram with two green cubes and two white cubes:
The product is (x * x) * (-x * -x) = x^2 * positive number
Overall, the algebraic products modelled by each diagram are:

1. -x^2
2. x^2 * (whole number)
3. x^2 * positive number

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Answer: 4

Step-by-step explanation:

In the given example, the sampling method employed is known as stratified sampling.

This technique involves dividing the population into smaller, non-overlapping groups (called strata) and then selecting a sample from each group.

In this case, each floor of the downtown high rise apartment building represents a stratum, and the researcher collects information from one person on each floor to gather data on the needs of the tsunami victims.

This method allows for more accurate representation of the different groups within the population and helps in providing better insight into the overall needs of the affected people in the building.

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Answer:

6.6 miles

Step-by-step explanation:

due to the construction with the 3 parallel lines, the two crossing lines create 2 similar triangles (same angles and all side lengths and all other lines are all determined by the same multiplication factor going from one triangle to the other).

so,

LM = KL × f

MP = HK × f

HL = LP × f

KL = LM × f

and so on.

and then, also

JL = LN × f

the other thing we know due to the construction (L will always be connected with the middle of HK and MP) : the triangles are isoceles triangle (2 equal sides). in fact, because HK = HL = 2 miles, and it is an isoceles triangle, we also know that KL = 2 miles too.

so, we have

KL = LM × f

2 = 6 × f

f = 2/6 = 1/3

and therefore

JL = LN × f

2.2 = LN × 1/3

LN = 2.2 / 1/3 = 2.2 × 3/1 = 2.2 × 3 = 6.6

so, LN is 6.6 miles long.

Answer: H$241.67

Step-by-step explanation:

Solve for x and multiple and get your answer!

9514 1404 393

Answer:

  The sum is a binomial with a degree of 3.

Step-by-step explanation:

The sum is ...

  (6s²t -2st²) +(4s²t -3st²) = s²t(6 +4) +st²(-2 -3)

  = 10s²t -5st² . . . . . . . a binomial of degree 3

__

The degree of the polynomial is the maximum sum of the degrees of the variables in each term. The first term is degree 2+1 = 3; the second term is of degree 1+2 = 3. The degree of the binomial is 3.

Answer:

The sum is a binomial with a degree of 3.

Step-by-step explanation:

Yeah the dude or dudette or they above me is right