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Based on the computed 95% confidence interval, we can conclude that we are 95% confident that the true population mean falls within the range of 12.65 to 25.65.

A confidence interval is a range of values that provides an estimate of the true population parameter. In this case, we are interested in estimating the population mean (μ). The 95% confidence interval, as mentioned, is given as 12.65 ≤ μ ≤ 25.65.

Interpreting this confidence interval, we can say that if we were to repeat the sampling process many times and construct 95% confidence intervals from each sample, approximately 95% of those intervals would contain the true population mean.

The confidence level chosen, 95%, represents the probability that the interval captures the true population mean. It is a measure of the confidence or certainty we have in the estimation. However, it does not guarantee that a specific interval from a particular sample contains the true population mean.

Therefore, based on the computed 95% confidence interval, we can conclude that we are 95% confident that the true population mean falls within the range of 12.65 to 25.65.

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The estimate of the median number of science homework problems is more likely to be accurate, based on the given information about the median and IQR.

The median and IQR (Interquartile Range) provide information about the central tendency and spread of a set of data, respectively. The fact that the median number of science homework problems is 5 and the IQR is 2 with the middle 50% of the data falling between 4 and 6 problems. This indicates that the data is not highly skewed or influenced by outliers.

In contrast, the fact that the median number of Spanish homework problems is 10 and the IQR is 1 with the middle 50% of the data falling between 9 and 11 problems. This indicates that the data is highly skewed and that even small deviations from the median can have a large impact on the IQR.

Therefore, the estimate of the median number of science homework problems is more likely to be accurate than the estimate of the median number of Spanish homework problems, because the science homework data appears to be more consistent and less influenced by outliers or extreme values.

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____The given question is incorrect, the correct question is given below:

The science teacher gives daily homework. For a random sample of days throughout the year, the median number of problems is 5 and the IQR is 2 . The Spanish teacher also gives daily homework. For a random sample of days throughout the year, the median number of problems is 10 and the IQR is 1 . If you estimate the median number of science homework problems to be 5 and the median number of Spanish problems to be 10, which is more likely to be accurate? Explain your reasoning.

Answer:

answer is 69 degree

Step-by-step explanation:

a+33+78=180 degree

a+111=180

a=180-111

a=69

Hence,  when \(n=10\) the given inequality is true.

What is the inequality?

An inequality is said to be sharp if it cannot be relaxed and still be valid in general.

Here given that,

Which integer will make the inequality \(2(n + 2) < 5(n -1)\) true.

So,

\(2(n + 2) < 5(n-1)\)

When

\(n=10\\\\\\2(10+2) < 5(10-1)\\\\2(12) < 5(9)\\\\24 < 45\)

Hence,  when \(n=10\) the given inequality is true.

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The Cartesian equation for the curve r = 4csc(θ) is (x^2 + y^2) * y = 4, and it represents a semi-cubical parabola.

To find a Cartesian equation for the curve r = 4csc(θ) and identify it, we can follow these steps:

Step 1: Rewrite the equation using the definition of cosecant
Cosecant (csc) is the reciprocal of sine, so we can rewrite the equation as:
r = 4/sin(θ)

Step 2: Express r and θ in Cartesian coordinates
We know that r^2 = x^2 + y^2 and y = r * sin(θ). We can use these relationships to replace r and θ with x and y in our equation. First, we solve for sin(θ):
sin(θ) = y / r

Step 3: Substitute sin(θ) and r in the equation
Now, replace sin(θ) and r in the original equation:
r = 4/(y/r)

Step 4: Simplify and solve for y
To get a Cartesian equation, multiply both sides by y:
r * y = 4
Since y = r * sin(θ), we can replace y with r * sin(θ):
r * (r * sin(θ)) = 4

Step 5: Replace r with x^2 + y^2
Since r^2 = x^2 + y^2, we can replace r in the equation:
(x^2 + y^2) * (y) = 4

Step 6: Identify the curve
This equation represents a curve in the Cartesian plane. By analyzing the equation, we can see that it's a semi-cubical parabola.

In conclusion, the Cartesian equation for the curve r = 4csc(θ) is (x^2 + y^2) * y = 4, and it represents a semi-cubical parabola.

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Answer:

36 cm^2

Step-by-step explanation:

area = 6x6 = 36

Answer:

LA and AAS, hope this helps!

Answer:

C, D, E are correct

Step-by-step explanation:

A. HL isn't possible because we only know that the hypotenuses are congruent, but not the legs.

B. SAS isn't possible because we would have to know that there is two sides separated by an angle that is congruent to the corresponding parts of the other triangle.

C. HA is possible because we know that the hypotenuse and one acute angle of the first triangle is congruent to the ones on the second triangle. CE ≅OQ and ∠E ≅∠O.

D. AAS is possible because we know that the right angle, and acute angle, and one side of the triangle is congruent to the corresponding parts of the other triangle. ∠D≅∠P, ∠E ≅∠O, and CE ≅OQ.

E. ASA is possible because we know that 2 angles and a side are congruent to those angles and side on the other triangle. ∠E≅∠Q, ∠E ≅∠O, and CE ≅OQ.

F. LL isn't possible because that isn't a congruence theorem at all. There is nothing called as the leg leg congruence theorem.

Answer:

Step-by-step explanation:

the diagonal of a square is 2.42 CM find the area of the square

area = d^2 divided by 2

2.42² : 2 =

5.8564 : 2 =

2.9282 cm²

The system of equations 6x + 5y = 9 and −11x − 10y = −20 has exactly one solution.

Given that

6x + 5y = 9

−11x − 10y = −20

To determine if the system of equations has no solutions, infinitely many solutions, or exactly one solution, we can use a common method called elimination.

First, we can multiply the first equation by 2 to eliminate y:

12x + 10y = 18

Next, we can add the second equation to the modified first equation to eliminate x:

12x + 10y -11x -10y = 18 - 20

Simplifying both sides:

x = -2

Therefore, the system has exactly one solution

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The equation of the perpendicular bisector of the given line segment is y = -4x - 6. So, correct option is B.

To find the equation of the perpendicular bisector of the given line segment, we first need to find the slope of the line passing through the points (-5,-3) and (3,-1).

The slope of this line can be calculated as:

slope = (change in y) / (change in x)

= (-1 - (-3)) / (3 - (-5))

= 2/8

= 1/4

So, the slope of the line passing through the given points is 1/4.

Since the midpoint of the line segment lies on the perpendicular bisector, the slope of the perpendicular bisector will be the negative reciprocal of the slope of the given line segment.

The negative reciprocal of 1/4 is -4/1 or -4.

Using the point-slope form of the equation of a line with the midpoint (-1,-2) and slope -4, we get:

y - (-2) = -4(x - (-1))

y + 2 = -4(x + 1)

y = -4x - 6

Therefore, correct option is (B).

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Complete question is:

The given line segment has a midpoint at (−1,−2). On a coordinate plane, a line goes through (-5,-3), (1,-2) and (3,-1). What is the equation in the slope-intercept form of the perpendicular bisector of the given line segment?

A. y=-4x-4

B. y=-4x-6

C. y=(1/4)x-4

D. y=(1/4)x-6

Answer:575

Step-by-step explanation: deltamath

Answer:

1|5 or 15

Step-by-step explanation:

Answer: 9x4=36

Step-by-step explanation:

Answer:

$65

Step-by-step explanation:

5x13= 65

a) The probability that more than 64% of the sampled adults drinks coffee daily is equals to the 0.2574.

b) The probability that the sample proportion of the sampled adults who drink coffee daily is between 0.59 and 0.67 is equals to the 0.2316.

We have a report data of National Coffee Association related to coffee drinking by adults. Sample proportion that adults drink coffee daily, p = 61% = 0.61

1 - p = 1 - 0.61 = 0.39

A random sample of sample size, n

= 250.

Population proportion= Sample proportion, p = 0.61

So, mean for population, μₚ = population proportion = 0.61

Standard deviations for population is σₚ

= √p( 1 - p)/n = √0.61(1 - 0.61)/250

= 0.0308

The sample proportion is approximately normally distributed, p ~ N(0.62,0.03072).

a) The probability that more than 64% of the sampled adults drinks coffee daily is, P( X > 0.64) = P ( (X - μₚ)/σₚ < (0.64 - 0.61)/0.0308 = 0.974

Using the normal distribution table probability value, P (Z >0.974 ) is equals to 0.2574 so, P( X> 0.64) = 0.2574.

b) The probability that the proportion of the sampled adults who drink coffee daily is between 0.59 and 0.67, P ( 0.59 < p < 0.67) = P[(0.59 - 0.61) / 0.0308 < (p - μₚ)/σₚ < (0.67 - 0.61) / 0.0308]

= P(-0.65 < z < 1.94)

= P(z < 1.94) - P(z < -0.65 )

= 0.4738 - 0.2422

= 0.2316

Hence, required probability is 0.2316.

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Complete question:

Coffee: The National Coffee Association reported that 61% of U.S. adults drink coffee daily. A random sample of 250 U.S. adults is selected. Round your answers to at least four decimal places as needed.

a)find the probability that more than 64% of the sampled adults drinks coffee daily

b)Find the probability that the proportion of the sampled adults who drink coffee daily is between 0.59 and 0.67.

Answer:

-12

Step-by-step explanation:

x+61+61+70=180

x+122+70=180

x+192=180

x=-12

Answer:

Step-by-step explanation:

We have a = 2r

Area of square:

Area of circle:

Ratio:

Answer:

π/4

Step-by-step explanation:

Hope this helps

Answer:

- 4

Step-by-step explanation:

The number of points earned by Anthony is the sum of all the individual points earned from the 5 throws. Considering that he had -6 on 2 throws, 10 from one throw, 2 and the -4 from the final set of throws, the total is equivalent to

= -6 - 6 + 10 + 2 -4

= -4

Anthony earned a total of - 4 from the 5 throws.

To compute the characteristic polynomial p(λ) for the matrix A, we need to find the determinant of (A - λI), where λ is the eigenvalue and I is the identity matrix.

The matrix (A - λI) is:

A - λI = [20 - λ, 16; -24, -20 - λ]

The determinant of (A - λI) is:

det(A - λI) = (20 - λ)(-20 - λ) - (16)(-24)

           = λ^2 + 20λ + 400 + 384

           = λ^2 + 20λ + 784

Therefore, the characteristic polynomial p(λ) is λ^2 + 20λ + 784.

To solve for the roots, we set p(λ) equal to zero and solve the quadratic equation:

λ^2 + 20λ + 784 = 0

Using the quadratic formula:

λ = (-b ± √(b^2 - 4ac)) / (2a)

For the given equation, a = 1, b = 20, and c = 784. Substituting these values into the quadratic formula:

λ = (-20 ± √(20^2 - 4(1)(784))) / (2(1))

  = (-20 ± √(400 - 3136)) / 2

  = (-20 ± √(-2736)) / 2

  = (-20 ± √(2736)i) / 2

Since the discriminant is negative, the roots of the equation are complex numbers. Simplifying the expression:

λ1 = (-20 + √(2736)i) / 2

   = -10 + √(684)i

λ2 = (-20 - √(2736)i) / 2

   = -10 - √(684)i

Therefore, the two eigenvalues of the matrix A, with λ1 < λ2, are:

λ1 = -10 + √(684)i

λ2 = -10 - √(684)i

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Conclusion can they reach based on the above output when they set the significance level to be 0.10 is that we can not draw conclusions based on the above statistical output because the conditions are not met due to the extreme outliers.

A person with specific training in meteorology applies scientific principles to describe, comprehend, observe, or forecast atmospheric occurrences on earth and/or how the atmosphere impacts the planet's surface and life are meteorologists.

Given,

Meteorologists in Texas want to increase the amount of rain delivered by thunderheads by seeding the clouds. Without seeding, thunderheads produce, on average, 300 acrefeet. The meteorologists randomly selected 29 clouds which they seeded with silver iodide to test their theory that average acrefeet is more.

Conclusion can they reach based on the above output when they set the significance level to be 0.10 is,

e. We can not draw conclusions based on the above statistical output because the conditions are not met due to the extreme outliers.

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Using the concept of percentages the total earning of Cara can be found to be $4200.

Percentage is a number expressed as a fraction of 100. The % sign means to divide the number by 100.

Cara's earning = commission + basic salary

basic salary = $1800 (this is constant)

commission = 6% of $40000

= (6/100)*40000

= $2400

Cara's earning = 1800 + 2400

Hence, her earning is $4200

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Answer:

44

Step-by-step explanation:

i done this

They are both 6.9 miles apart after one hour if they both hike 4 miles/hour

The correct option is (B)

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

Miranda and Cyndi start hiking from the same point. Miranda hikes at a heading of 270° or due west, and Cyndi hikes at a heading of 30°

h = 4sin30

h = 4(1/2)

h = 2 miles

x² = 4² - h² = 4² - 2²

x = √12

x = 3.46 miles

Total distance = 2×3.46  = 6.9 miles

Thus, they are both 6.9 miles apart after one hour if they both hike 4 miles/hour option (B) 6.9 miles is correct.

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I understand that the question you are looking for :

Miranda and Cyndi start hiking from the same point. Miranda hikes at a heading of , or due west, and Cyndi hikes at a heading of , or n e. if they both hike 4 miles/hour, approximately how far apart are they after one hour?

A) 4.3 miles. .

B) 6.9 miles

C) 8.0 miles

D) 5.7 miles

Answer:

52min

Step-by-step explanation:

5 people..............5 walls............52 min

1 people...............5 walls...........52 x 5=260 min

1 people................20 walls.........260 x 4 =1040 min

20 people................20 walls........1040:20=52 min

Answer:

116

Step-by-step explanation:

maybe don't try this i could be wrong.

The probability of randomly selecting an element from S is 1/4

To find P(S), which represents the probability of randomly selecting an element from S, we need to determine the total number of elements in S and in U.

U = universal set = prime numbers less than 38 = 12

P(S) = required outcome / sample space

P(S) = |S| / |U|

= 3 / 12

= 1/4

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Answer:

Hi i think its option 3 maybe just wait until someone else helps but i say option 3 but gl anyways

Step-by-step explanation:

To determine the best policy for Brennan Aircraft's plotter pen replacement, we can simulate the problem and compare the expected costs for both scenarios: replacing one pen or replacing all four pens each time a failure occurs.

Let's calculate the expected costs for each scenario:

Replacing one pen:

We'll calculate the expected cost per hour of plotter failure by multiplying the probability of each failure duration by the corresponding cost per hour, and then summing up the results.

Expected cost per hour = Σ(Probability * Cost per hour)

Expected cost per hour = (10 * 0.05 + 20 * 0.15 + 30 * 0.15 + 40 * 0.20 + 50 * 0.20 + 60 * 0.15 + 70 * 0.10) * $50

Expected cost per hour = $39.50

Replacing all four pens:

We'll calculate the expected cost per hour using the same method as above, but using the probability distribution for the scenario of replacing all four pens.

Expected cost per hour = (100 * 0.15 + 110 * 0.25 + 120 * 0.35 + 130 * 0.20 + 140 * 0.00) * $50

Expected cost per hour = $112.50

Comparing the expected costs, we can see that replacing one pen each time a failure occurs results in a lower expected cost per hour ($39.50) compared to replacing all four pens ($112.50). Therefore, the best policy for Brennan Aircraft would be to replace one pen each time a failure occurs.

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