A real-world problem with a sample and a population is modeled by the proportion 66/100 = x/2,500
. Use the proportion to complete the sentences

Answer:

wait what grade u in

Step-by-step explanation:

To m∠2 using the inverse sine function, we need additional information about the problem or a diagram that shows the relationship between ∠2 and other angles or sides.

The inverse sine function, also denoted as \(sin^{(-1)\) or arcsin, is the inverse of the sine function.

It allows us to find the measure of an angle when given the ratio of the lengths of the sides of a right triangle.

In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. Mathematically, it can be expressed as:

sin(θ) = Opposite / Hypotenuse

If we know the ratio of the lengths of the sides and want to find the measure of the angle, we can use the inverse sine function:

θ = \(sin^{(-1)\)(Opposite / Hypotenuse)

To m∠2 using the inverse sine function, we need to know the ratio of the lengths of the sides associated with ∠2, such as the opposite and hypotenuse.

Once we have those values, we can substitute them into the equation and calculate the measure of ∠2.

The problem or a diagram illustrating the triangle and the relationship between ∠2 and the sides for a more specific solution.

For similar questions on inverse

https://brainly.com/question/3831584

#SPJ8

Answer:

6,912....

Step-by-step explanation:

6 times 12 times 6 time 4 times 4 = 6,912

Answer:

= 360 ft³

Step-by-step explanation:

Rectangular prism

Volume = length x width x height

V = l x w x h

V = 12 x 6 x 4

V = 288 ft³

Triangular prism

Volume = 1/2 x base x height x length

V = 1/2 x 6 x 4 x 6 ( the width of the rectangular prism is the base of the triangular prism)

V = 1/2 x 144

V = 72 ft³

ADD BOTH VOLUMES

= 288 + 72

= 360 ft³

Answer:

I am not sure of my answer.....

Answer:

Step-by-step explanation:

C the probability that a customer buys a hat given that the customer has bought a sweater.

To verify the inequality without evaluating the integrals, we can use the properties of integrals.

First, we know that the integral of a positive function gives the area under the curve. Therefore, the integral of √(1-x^2) from -1 to 1 gives the area of a semicircle with radius 1. This area is equal to π/2, which is approximately 1.57.
Next, we can use the fact that the integral of a function over an interval is less than or equal to the product of the length of the interval and the maximum value of the function on that interval. Since the function √(1-x^2) is decreasing on the interval [-1,1], its maximum value is at x=-1, which is √2/2.
Using this property, we have:
∫1 -1 √(1-x^2) dx ≤ (1-(-1)) * √2/2 = √2
Finally, we can use a similar argument to show that the integral is greater than or equal to 2. Therefore, we have:
2 ≤ ∫1 -1 √(1-x^2) dx ≤ √2
To verify the inequality 2 ≤ ∫(1, -1) √(1 - x^2) dx ≤ 2√2 using properties of integrals, let's first establish that the integrand is non-negative on the interval [-1, 1]. Since 0 ≤ x^2 ≤ 1, we have 0 ≤ 1 - x^2 ≤ 1, so √(1 - x^2) is non-negative.
Now, consider the areas of two squares: one with side length 2 and the other with side length √2. The area of the first square is 2² = 4, and the area of the second square is (√2)² = 2. Since the integrand lies between 0 and 1, the area under the curve is less than the area of the first square but more than half of it (as it resembles half of the first square).
Therefore, 2 ≤ ∫(1, -1) √(1 - x^2) dx ≤ 2√2, as the area under the curve is between half of the first square's area and the second square's area.

To know more about integrals visit:

https://brainly.com/question/31744185

#SPJ11

Answer:

\( m\angle A = 72\degree \\

m\angle B = 108\degree \)

Step-by-step explanation:

ABCD is a parallelogram.

Since, opposite angles of a parallelogram are congruent.

\( \therefore m\angle A = m\angle C\\

\therefore (5y-3)\degree = (3y+27)\degree \\

\therefore 5y - 3= 3y +27\\

\therefore 5y-3y = 27+3\\

\therefore 2y = 30\\\\

\therefore y = \frac{30}{2} \\\\

\therefore y = 15\\

\because m\angle A = (5y-3)\degree \\

\therefore m\angle A = (5\times 15-3)\degree \\

\therefore m\angle A = (75-3)\degree \\

\huge{\red {\boxed {\therefore m\angle A = 72\degree}}} \\\\

\because m\angle A + m\angle B = 180\degree(opposite \: \angle 's\: of\:a\: \parallel ^{gm}) \\

\therefore m\angle B = 180\degree - 72\degree \\

\huge{\purple {\boxed {\therefore m\angle B = 108\degree}}} \)

Answer:

irrational

Step-by-step explanation:

Answer:

37 is LeBron 41 years old is kobe

Overall, when the constant of proportionality (r) is 0.2 in the equation y = rx, it signifies that y increases by 0.2 units for each unit increase in x.

To find the constant of proportionality (r) in the equation y = rx, we can use the given values of x and y. We'll choose any two sets of corresponding values of x and y from the given data. Let's use (x=8, y=1.6) and (x=15, y=3):

For (x=8, y=1.6):

1.6 = 8r

For (x=15, y=3):

3 = 15r

We now have a system of two equations:

1.6 = 8r

3 = 15r

We can solve this system to find the value of r. Let's divide the second equation by 15 and the first equation by 8:

0.2 = r

0.2 = r

The value of r is the same in both equations, which means the constant of proportionality is 0.2.

To know more about equation,

https://brainly.com/question/16415494

#SPJ11

The maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.

Acceleration is directly proportional to the force acting on an object. In simple terms, if the force on an object is greater, then it will undergo more acceleration. However, there are limitations to the acceleration that can be tolerated by the human body. At about 5 g (49.0 m/s2) for more than a few seconds, an average person starts to lose consciousness. Let's use this information to answer the given question.

Let the maximum burn rate |ΔM/Δt| that the engine could reach before the ship's acceleration exceeded 5 g be x.

Let the mass of the spaceship be m and the exhaust speed of the engine be v.

Using the formula for the thrust of a rocket,

T = (mv)e

After substituting the given values into the formula for thrust, we get:

T = (3.00 × 104)(2.50 × 103) = 7.50 × 107 N

Therefore, the acceleration produced by the engine, a is given by the formula below:

F = ma

Therefore,

a = F/m= 7.50 × 107/3.00 × 104= 2.50 × 103 m/s²

The maximum burn rate that the engine could reach before the ship's acceleration exceeded 5 g is equal to the acceleration that would be produced by a maximum burn rate. Therefore,

x = a/5g= 2.50 × 103/(5 × 9.8)≈ 51.0 kg/s

Therefore, the maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.

Learn more about maximum burn rate

https://brainly.com/question/29328145

#SPJ11

The correct answer is x = 9

What is a parallelogram in math?

Diagonals of a parallelogram bisect each other.

For quadrilateral LMNO to be a parallelogram, LP must equal PN, and OP must equal PM.

Set OP equal to PM and solve for x.

PM = OP

3x - 9 = 18

Add 9 to both sides.

3x = 27

Divide both sides by 3.

x = 9

Therefore, the value of x = 9

Learn more about parallelogram

brainly.com/question/23857659

#SPJ4

The complete question is -

Determine the value of x that would make quadrilateral LMNO a parallelogram.

3

9

11

18

Answer: x=9

Step-by-step explanation:

The statement that describes the end behavior of the graph f(x) = -4x³ + 28x² + 32x + 64.

The graph increases to left and decreases to right.

The end behavior of a polynomial function is given by the limits of the function as x approaches infinity, meaning that only the term with the highest exponent is considered for the calculation of the limit.

In this problem, the function is defined as follows:

f(x) = -4x³ + 28x² + 32x + 64.

Considering only the highest exponent, we have that:

f(x) = -4x³.

Hence the behavior of the graph of the function at the left tail is given as follows:

lim x -> -∞ f(x) = -4(-∞)³ = -4 x (-∞) = ∞.

(increases to the left).

At the right tail, the behavior is given as follows:

lim x -> ∞ f(x) = -4 x (∞)³ = -4 x (∞) = -∞.

(decreases to right).

The problem is incomplete, hence we suppose that it asks for us to describe the end behavior of the graph.

Learn more about the end behavior of a function at brainly.com/question/1365136

#SPJ1

Answer:b

Step-by-step explanation:

Answer:

surface area = 6a^2 = 6

hence are = 6 unit.sq

3 students play all three sports.The number of students who play both baseball and tennis is 8, the number of students who play both tennis and football is 5, and the number of students who play both baseball and football is 10. Find the number of students who play all three sports.

Given:Conard High School has 5050 students who play on the baseball, football, and tennis teams. Some students play more than one sport. If 1515 play tennis, 2525 play baseball, 3030 play football, 88 play tennis and baseball, 55 play tennis and football, and 1010 play baseball and football.Find:How many students play all three sports?Solution:We can use the formula for three sets to solve the given problem.N(A U B U C) = n(A) + n(B) + n(C) - n(A ∩ B) - n(B ∩ C) - n(C ∩ A) + n(A ∩ B ∩ C)Where, A, B, and C are the sets of the students who play tennis, baseball, and football respectively.n(A) = 15, n(B) = 25, and n(C) = 30n(A ∩ B) = 8, n(A ∩ C) = 5, and n(B ∩ C) = 10We have to find n(A ∩ B ∩ C)Using the formula we get:n(A U B U C) = n(A) + n(B) + n(C) - n(A ∩ B) - n(B ∩ C) - n(C ∩ A) + n(A ∩ B ∩ C)50 = 15 + 25 + 30 - 8 - 10 - 5 + n(A ∩ B ∩ C)50 = 47 + n(A ∩ B ∩ C)n(A ∩ B ∩ C) = 50 - 47n(A ∩ B ∩ C) = 3 studentsSo, 3 students play all three sports.

Conard High School has 50 students who play more than one sport, and the number of students who play tennis, baseball, and football is 15, 25, and 30, respectively. We are given that 8 students play both tennis and baseball, 5 students play both tennis and football, and 10 students play both baseball and football. We are to find how many students play all three sports.We can use the formula for three sets to solve the given problem.N(A U B U C) = n(A) + n(B) + n(C) - n(A ∩ B) - n(B ∩ C) - n(C ∩ A) + n(A ∩ B ∩ C)Where A, B, and C are the sets of the students who play tennis, baseball, and football, respectively. The formula is based on the fact that the number of students who play any two sports is counted twice and hence needs to be subtracted once.To use this formula, we need to determine the number of students who play tennis only, baseball only, and football only. We can do this by subtracting the number of students who play two sports from the total number of students who play each sport. Then, we can substitute these values in the formula.n(A) = 15 - (8 + 5) = 2n(B) = 25 - (8 + 10) = 7n(C) = 30 - (5 + 10) = 15n(A U B U C) = 2 + 7 + 15 - 8 - 10 - 5 + n(A ∩ B ∩ C)50 = 47 + n(A ∩ B ∩ C)n(A ∩ B ∩ C) = 50 - 47n(A ∩ B ∩ C) = 3Therefore, 3 students play all three sports.

To know more about number of students visit :-

https://brainly.com/question/12816397

#SPJ11

Given: A 180 degree rotation of a vertical angle will always map to the other vertical angle

To Determine: The prove that the vertical angles are congruent

Draw and label to vertical lines with an angle

The 180 degree rotation of the vertical angle BOC would give:

Note that the other vertical would be AOD

The students should respond that

Hence, the 180 degree rotation of a vertical angle will always map to the other vertical angle which are congruent to each other because:

The vertical angles are vertically opposite to each other

Answer:

38miles/hour

Step-by-step explanation:

Speed = Distance/Time

According to the question:

Time = 0.75hr

Distance = 28.5

Hence,

Speed = 28.5/0.75

= 38 miles/hr

Hope this helps and be sure to have a wonderful time at Brainly! :D

Answer:

At most 15 games.

Step-by-step explanation:

Use this equation 4+2x=34 to help you guide to your answer.  Subtract 4 on both sides to get 2x = 30, divide 2 on both sides to get 15 which is your x value and your final answer in which it is the most games you can play.

The significant difference between the observed and expected proportions of rabbits with long fur is tested using chi square goodness of fit.

To test whether 25% of rabbits have long fur and our alternative hypothesis is that 25% of rabbits don't have long fur, you can use a Chi-Square goodness-of-fit test. Here's a step-by-step explanation:

1. Define the null hypothesis (H0): 25% of rabbits have long fur.
2. Define the alternative hypothesis (H1): 25% of rabbits don't have long fur.
3. Collect a random sample of rabbits and record their fur lengths (long, medium, or short).
4. Calculate the expected frequencies for each fur length category, assuming the null hypothesis is true (25% long fur, and 75% for medium and short fur combined).
5. Calculate the observed frequencies for each fur length category from your sample data.
6. Calculate the Chi-Square test statistic, χ², using the formula: χ² = Σ[(observed - expected)² / expected]
7. Determine the degrees of freedom (df) for the test, which in this case is 1 (since there are two categories: long fur and not long fur).
8. Compare the calculated χ² test statistic to the critical value from the Chi-Square distribution table, given your chosen significance level (e.g., 0.05) and the calculated degrees of freedom.
9. If the test statistic is greater than the critical value, reject the null hypothesis in favor of the alternative hypothesis. Otherwise, fail to reject the null hypothesis.

By following these steps, you can determine if there is a significant difference between the observed and expected proportions of rabbits with long fur.

To learn more about expected proportions, refer here:

https://brainly.com/question/11935883#

#SPJ11

Answer:

\(x_{min} = 75\,camisas\)

Step-by-step explanation:

El número mínimo de camisas a vender es igual al costo de alquiler del local dividido por la diferencia entre los valores de venta y compra de cada camisa. (The minimum amount of shirts to be sold is equal to the rental cost of the retail space divided by the difference between sell and purchase cost per shirt):

\(x_{min} = \frac{\$ 150}{\$ 5 - \$ 3}\)

\(x_{min} = 75\,camisas\)

Miguelito debe vender un mínimo de 75 camisas para obtener ganacias. (Miguelito must sell a minimum of 75 shirts to make a profit.)

The side lengths are given as follows:

The side lengths for this problem are obtained considering the triangle midsegment theorem, which states that the midsegment of the triangle divided the laterals of the triangle into two segments of equal length.

The congruent segments(segments of equal length) are given as follows:

Hence the lengths are given as follows:

More can be learned about the triangle midsegment theorem at https://brainly.com/question/7423948

#SPJ1

The value of the expression −2 + (−8.5) − (−9 * 14) is 115.5.

To find the value of the expression, let's simplify it step by step:

−2 + (−8.5) − (−9 * 14)

Multiplying −9 by 14:

−2 + (−8.5) − (−126)

Now, let's simplify the negations:

−2 + (−8.5) + 126

Next, we can combine the numbers:

−10.5 + 126

Adding −10.5 to 126:

115.5

Therefore, the value of the expression −2 + (−8.5) − (−9 * 14) is 115.5.

For more such questions on expression , Visit:

https://brainly.com/question/1859113

#SPJ11

Answer:

9(n + 22) ≤ -15

Step-by-step explanation:

9 times the sum of a number and 22 is at most −15

Let n = number

Times = multiplication

Sum = Addition

9 * n + 22

We must add parenthesis on the end on 22 and before n

We must do this because it says 9 times the sum of a number and 22 which means that 9 is being multiplied by both n and 22

We would have 9(n + 22)

9(n + 22) is at most -15

At most meaning that -15 is the highest number that 9(n + 22) can equal

Because it says at most 9(n + 22) can equal -15 or anything less than -15

So at most can be replaced with ≤

9(n + 22) ≤ -15

The section of the research report that may have the information about the statistical parameter used and the findings of statistical tests is the "Results" and ''Reference" section.

The results section usually comes after the introduction and literature review sections of the research report.

A research report is a document that outlines the results of a study conducted by an individual or a group. The research report is a written record of the study and includes information about the research design, data collection, data analysis, and findings. A research report can be written in different formats, depending on the discipline and audience.

Statistics refers to the collection, analysis, interpretation, presentation, and organization of data. Statistics help researchers to draw conclusions from data and make informed decisions. Statistical tests are used to determine whether the results of a study are statistically significant, which means that the results are unlikely to have occurred by chance. Statistical tests are an essential part of the research process, and the findings of these tests are reported in the results section of a research report.

Learn more about statistical hypothesis testing : https://brainly.com/question/15980493

#SPJ11

Answer:

x = 5/2, -3

or

x = 2.5, -3

or

2 1/2, -3

Step-by-step explanation:

Brainliest Please!!

- Hermionia

Answer:

x=-3, 5/2

Step-by-step explanation:

Set each parentheses equal to zero.

1. 2x-5=0

add 5 to both sides

2x=5

Divide by 2

x=5/2

2. (x+3)=0

subtract 3 from both sides

x=-3

Answer:

To be clear, do u want the angle of M?

Answer:

secM = \(\frac{17}{15}\)

Step-by-step explanation:

secM = \(\frac{1}{cosM}\)

cosM = \(\frac{adjacent}{hypotenuse}\) = \(\frac{MN}{LM}\) = \(\frac{15}{17}\) , then

secM = \(\frac{1}{\frac{15}{17} }\) = \(\frac{17}{15}\)

Answer:

  about 6995

Step-by-step explanation:

The second catch indicates about 15/251 of the fish were tagged. Then the population can be estimated to be 251/15 times the number that were tagged:

  (251/15)(418) ≈ 6995

The population can be estimated to be about 6995 trout.

Answer:13.5

Step-by-step explanation:

13.5

A researcher wished to estimate the difference between the proportion of users of two shampoos who are satisfied with the product at a 90% confidence level,

the true difference between the proportion of users satisfied with shampoo A and shampoo B is estimated to be between -0.0262 and 0.0482.

To construct a 90% confidence interval for the true difference between the two population proportions, we can use the formula for the confidence interval for the difference between two proportions.

Let's denote the proportion of users satisfied with shampoo A as p1 and the proportion of users satisfied with shampoo B as p2.

The sample proportion for shampoo A, denoted as 1, is calculated by dividing the number of users satisfied in the sample of 400 (78) by the sample size (400):

1 = 78/400 = 0.195

The sample proportion for shampoo B, denoted as 2, is calculated by dividing the number of users satisfied in the sample of 500 (92) by the sample size (500):

2 = 92/500 = 0.184

Next, we calculate the standard error, which measures the variability of the difference between the two proportions:

SE = sqrt[(1 * (1 - 1) / n1) + (2 * (1 - 2) / n2)]

where n1 is the sample size for shampoo A (400) and n2 is the sample size for shampoo B (500).

SE = sqrt[(0.195 * (1 - 0.195) / 400) + (0.184 * (1 - 0.184) / 500)]

SE = sqrt[(0.152025 / 400) + (0.151856 / 500)]

SE ≈ 0.0226

Now, we can calculate the margin of error by multiplying the standard error by the critical value corresponding to a 90% confidence level. For a 90% confidence level, the critical value is approximately 1.645.

Margin of Error = 1.645 * 0.0226 ≈ 0.0372

Finally, we construct the confidence interval by subtracting and adding the margin of error from the difference in sample proportions:

Confidence Interval = (1 - 2) ± Margin of Error

Confidence Interval = (0.195 - 0.184) ± 0.0372

Confidence Interval = 0.011 ± 0.0372

Confidence Interval ≈ (-0.0262, 0.0482)

Therefore, at a 90% confidence level, the true difference between the proportion of users satisfied with shampoo A and shampoo B is estimated to be between -0.0262 and 0.0482.

To know more about proportion refer here:

https://brainly.com/question/33460130#

#SPJ11