he population standard deviations for the prices can be assumed to be $20 in atlanta and $25 in houston. based on the sample data, can you conclude that the mean price of a hotel room in atlanta is lower than one in houston?

Answer: 39°

Step-by-step explanation:

In an isosceles triangle, two sides are of equal length, and the angles opposite these equal sides are also equal. Let's call these two equal angles x. Given that one angle measures 102°, we can find the possible measures for the other two angles.

The sum of the interior angles of a triangle is always 180°. So, we have:

x + x + 102° = 180°

2x = 180° - 102°

2x = 78°

x = 39°

Therefore, the other two angles in the isosceles triangle are both 39°.

The degrees of freedom associated with within treatments are 12 within the variation sum of squares degrees of freedom mean square f between treatments 64 within treatments (error) 96.

The ANOVA table divides the overall variance into variation between treatments and variation within treatments. Each source of variation's degrees of freedom (DF) is also provided.

According to the information provided, there are three treatments and a total of 15 observations. As a result, the total degrees of freedom is:

[tex]DF_{total}[/tex] = n - 1

where n is the number of observations

[tex]DF_{total}[/tex]= 15 - 1 = 14

The degrees of freedom between treatments are equal to the number of treatments minus one:

[tex]DF_{between}[/tex] = k - 1

where k is the number of groups being compared

[tex]DF_{between}[/tex]= 3 - 1 = 2

The number of treatments minus one equals the degrees of freedom between treatments, that is 2

We may use the following formula to calculate the degrees of freedom within treatments:

[tex]DF_{within}[/tex] = [tex]DF_{total} - DF_{between}[/tex]

Substituting the values we have:

[tex]DF_{within}[/tex] = 14 - 2 = 12

[tex]DF_{within}[/tex] = 12

As a result, the answer is 12. The degrees of freedom associated with within treatments are 12.

Learn more about ANOVA:

https://brainly.com/question/15084465

#SPJ4

Positive integers less than 100 that are neither multiples of 2 nor multiples of 3 are 33. Option (d)

To solve this problem, we can use the principle of inclusion-exclusion.

There are a total of 99 positive integers less than 100 (from 1 to 99, inclusive).

We want to count the number of integers that are not multiples of 2 or 3.

The number of integers that are multiples of 2 is 49 (from 2 to 98, inclusive, with a common difference of 2).

The number of integers that are multiples of 3 is 33 (from 3 to 99, inclusive, with a common difference of 3).

However, we have double-counted the integers that are multiples of both 2 and 3 (i.e., multiples of 6). There are 16 such integers (from 6 to 96, inclusive, with a common difference of 6).

Therefore, the number of integers that are not multiples of 2 or 3 is:

99 - (49 + 33 - 16) = 83

So there are 83 positive integers less than 100 that are neither multiples of 2 nor multiples of 3.

Therefore, the answer is (d) 33.

Learn more about inclusion-exclusion principal

brainly.com/question/30271591

#SPJ11

Therefore , the solution of the given problem of equation comes out to be x = π/2 and x = 3*π/2 are the answers to the above equation in the range [0, π].

In intricate algorithms, variable words are typically employed to demonstrate consistency between two opposing arguments. Equations are academic phrases that are used to demonstrate the equality of different academic figures. Consider the specifics associated with the x + 7 suggestions.

Here,

The equation is as follows:

=> Cscx+Csc² = 2.

Remember this formula: csc(2x) = 1/sin(2x)

=>  1/sin(2x)+csc(2x) = 2

=>  cscxsin2x + 1 = 2sin2x

We may enter this number into the equation since cscx = 1/sinx:

=>  2(1/cscx)² = 1 + (1/cscx)(1/cscx)

If we simplify, we get:

=>  1/(cscx) + 1 = 2/(cscx)

Eliminating the fraction requires multiplying both sides by cscx2:

=>  cscx² + 1 = 2

=>  cscx² = 2 - 1

=>  cscx² = 1

=>  |cscx| = 1

Situation 1: cscx = 1

=>  Sinx = 1/cscx = 1/1 = 1 if cscx = 1.

In the range [0, π], this happens when x = π/2.

Case 2: Cscx equals 1.

=>  Sinx = 1/cscx = 1/-1 = 1 if cscx = -1.

This happens when x in the range [0, pi] = 3*π/2.

So, x = π/2 and x = 3*π/2 are the answers to the above equation in the range [0, π].

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

The amount of fencing, dirt and sod for the baseball field are;

Length of fencing ≈ 1410.5 feet

Area of the sod ≈ 118017.13 ft²

Area of of the field covered with dirt ≈ 7,049.6 ft²

The fencing of a baseball field is the outer enclosure of the field, which typically, is located along the outfield boundary.

The amount of fencing, dirt, and sod can be found using the formula for finding the circumference of a circle and the area of a circle as follows;

Area of a circle = π × r²

Circumference of a circle = 2 × π × r

Where r is the radius of the circle

The area of a quarter of a circle is therefore; Area of a circle ÷ 4

The perimeter of a quarter of a circle is; The perimeter of a circle ÷ 4

Fencing = (1/4) × 2 × π × 380 + 2 × 15 + 2 × 380 + (1/4) × 2 × π × 15

Fencing = 190·π + 790 + 7.5·π = 197.5·π + 790 ≈ 1410.5

Grass = π/4 × (380 - 6)² + 87² - π/4 × (87 + 30)² + 2 × 380 × 15 + π/4 × 15² - (3/4) × π × 10² - 25·π = 31528·π + 18969 ≈ 118017.13

Dirt; π/4 × 380² - π/4 × (380 - 6)² + π/4 × (87 + 30)²- 87² + π·100 = (18613·π - 30276)/4 ≈ 7049.6

Learn more on the area of a sector of a circle here: https://brainly.com/question/29140580

#SPJ1

If the customers arriving at "checkout-counter" in a department store follow a Poisson distribution, then probability of exactly 5 customers arriving in one hour is approximately 0.1277 or 12.77%.

The "Poisson-Distribution" is defined as a discrete probability distribution which represents the number of events occurring in a "fixed-interval" of time, given a known "average-rate" of occurrence.

In this case, the average-rate of customer arrivals is 7 customers per hour.

Let "average-rate" be "λ = 7",

We need to find the probability of exactly "5-customers" arriving in one hour, which means we need to calculate P(X = 5), where X follows a Poisson distribution with λ = 7.

The Poisson probability mass function (PMF) formula is:

⇒ P(X=x) = (λˣ × e⁻ˣ))/x!

where:

P(X=k) is the probability of X taking the value "x",

λ = average rate parameter. "e" = Euler's number,

"x" = number of events, "x!" = factorial of x,

Substituting the values of λ = 7, k = 5,

We get,

⇒ P(X=5) = (7⁵ × e⁻⁷)/5!,

⇒ P(X=5) ≈ 0.1277,

Therefore, the required probability of exactly 5 customers arriving in one hour is approximately 0.1277 or 12.77%.

Learn more about Probability here

https://brainly.com/question/14985384

#SPJ4

Comparing the medians, we can see that the median length of alligators in Swamp A and Swamp B is the same, which suggests that the two swamps may have similar populations of alligators in terms of length.

What is median?

Median is a measure of central tendency that represents the middle value in a dataset when the values are arranged in order of magnitude.

To compare the lengths of the alligators from two different swamps using medians, we need to collect data on the lengths of alligators from each swamp. Then we can calculate the median length of alligators in each swamp and compare them.

Let's say we have collected the following data on the lengths of alligators from Swamp A and Swamp B:

Swamp A: 4 feet, 5 feet, 6 feet, 7 feet, 8 feet

Swamp B: 3 feet, 5 feet, 6 feet, 7 feet, 9 feet

To find the median length of alligators in Swamp A, we need to arrange the lengths in order from smallest to largest: 4, 5, 6, 7, 8. The middle value is 6, so the median length of alligators in Swamp A is 6 feet.

To find the median length of alligators in Swamp B, we also need to arrange the lengths in order from smallest to largest: 3, 5, 6, 7, 9. The middle value is also 6, so the median length of alligators in Swamp B is also 6 feet.

Comparing the medians, we can see that the median length of alligators in Swamp A and Swamp B is the same, which suggests that the two swamps may have similar populations of alligators in terms of length. However, it is important to note that this comparison is based only on the median length and not on the full distribution of alligator lengths, so it is possible that there are other differences between the two populations of alligators that are not captured by this comparison.

To learn more about median from the given link:

brainly.com/question/28060453

#SPJ1

The answer is: The answers will vary from person to person.

The statement that is true about statistical questions is that the answers will vary from person to person. Statistical questions are questions that can be answered using data and statistics. These questions involve gathering information from a population or a sample of that population, analyzing the data, and making conclusions based on the results. Since different people may have different data and different ways of analyzing that data, the answers to statistical questions can vary. This is why it is important to consider the sample size, the sample method, and the statistical methods used to analyze the data when interpreting the results of statistical questions. A well-designed study can help minimize variability and improve the accuracy of the results, but some degree of variability is still expected due to natural differences in the data collected by different individuals or groups

to know more about sample

brainly.com/question/13287171

#SPJ1

For the given diagram, the square ABCD is transformed into square A'B'C'D' by the dilation using the scale factor of 5.

On a map, scales are frequently present. The scale factor in geography usually applies to how accurately the scale depicted on the map reflects actual distance. Find the corresponding sides upon that two figures before obtaining the scale factor.

Then, divide the new figure's measurement by the old figure's measurement. Your scale factor, i.e., how many times bigger or less than your new image is in comparison to the old, is the consequence.

From the diagram:

coordinate of A = (1,1)

coordinate of A' = (5,5)

Thus, the coordinates of A is multiplied by 5 to get the coordinates of A'

Same applies with the coordinates of B, C and D.

Thus, for the given diagram, the square ABCD is transformed into square A'B'C'D' by the dilation using the scale factor of 5.

Know more about the scale factor:

https://brainly.com/question/25722260

#SPJ1

1) The equation (x + 6)² + (y + 4)² = 36 represents a circle centered at the point (-6, -4) with a radius of 6. Therefore, the signal is located at the point (-6, -4).

2) The range of the signal refers to the maximum distance that the signal can travel before it becomes too weak to be detected. In this case, the range of the signal is equal to the radius of the circle, which is 6. This means that any point on the circle (x + 6)² + (y + 4)² = 36 is 6 units away from the signal located at (-6, -4).

To visualize this, imagine the signal as a point source located at (-6, -4), and the range of the signal as a circle centered at the signal with a radius of 6. Any point on this circle represents the farthest distance that the signal can reach and still be detected.

In summary, the signal is located at (-6, -4) and its range is 6 units, as represented by the circle (x + 6)² + (y + 4)² = 36.

to know more about signal

brainly.com/question/14699772

#SPJ1

Answer:

Step-by-step explanation:

x²-3x - 10 = 0

x² -5x + 2x - 10 = 0

(x² -5x)+ (2x - 10) = 0

x(x - 5) +2(x - 5) = 0

(x + 2) (x - 5) = 0

x +2 = 0

x = -2

OR

x -5 = 0

x = 5

hence ans is, (1) {5,-2}

The ratio of 7 out of 8 people who preferred cooking to washing dishes in percentage is equal to 87.5% .

Number of people preferred cooking to washing dishes = 7

Total of number of people surveyed = 8

To convert a ratio to a percentage,

= (Number of people who preferred cooking / (the total number of people) multiply by 100.

The total number of people surveyed is equal to 8

So, the percentage of people who preferred cooking is equal to,

= (7 ÷ 8) x 100

= 87.5%

Therefore, ratio as a percent  of people surveyed preferred cooking to washing dishes is 87.5% .

Learn more about ratio here

brainly.com/question/31565668

#SPJ4

Answer:

6 inches

Step-by-step explanation:

The probability of Laura missing 3 free throws before making 12 is approximately 0.0037 or 0.37%.
The basketball free throw.

A success would be considered when Laura makes a free throw.

A failure would be when Laura misses a free throw.
The negative binomial distribution is a probability distribution that calculates the probability of obtaining a certain number of failures before a specified number of successes occur.

The specified number of successes is 12, and the number of failures is represented by the variable x.
To calculate the probability of x failures, we need to know the probability of a single failure.

Since Laura is an 82% free throw shooter, the probability of her missing a free throw is 18%.
We can use the formula for negative binomial distribution to determine how many failures are required before 12 successes are achieved.

The formula is:
[tex]P(X = x) = (r+x-1)C(x) \times p^r \times (1-p)^x[/tex]
Where:
P(X = x) is the probability of having x failures before achieving 12 successes
r is the number of successes required (in this case, 12)
p is the probability of a single success (in this case, 0.82)

[tex](r+x-1)C(x)[/tex]is the combination of r+x-1 choose x

For example, if we want to find the probability of Laura missing 3 free throws before making 12, we will plug in x = 3, r = 12, p = 0.82 into the formula:

[tex]P(X = 3) = (12+3-1)C(3) \times 0.82^1^2\times (1-0.82)^3[/tex]
[tex]P(X = 3) = 14C3 \times 0.082^1^2 \times 0.18^3[/tex]
[tex]P(X = 3) = 364 \times 0.000018 \times 0.005832[/tex]
P(X = 3) = 0.000037
Overall, the trial in this scenario is each individual attempt at a free throw, the success is making a free throw, and 12 successes are required before the shooting session is considered complete.

The negative binomial distribution is used to calculate the probability of obtaining a certain number of failures before achieving the specified number of successes.

For similar questions on probability

https://brainly.com/question/24756209

#SPJ11

'x' follows a negative binomial distribution with 'r' being 12 successes.

In this scenario, a trial refers to each individual attempt at shooting a free throw. A success is when Laura successfully makes a free throw. To achieve her goal of making 12 free throws, she needs to have 11 successes (since she will miss on the final attempt). Therefore, r = 11.

In this context, a "trial" refers to each individual attempt Laura makes to shoot a basketball free throw. A "success" is when Laura makes a free throw (hits the basket), while a "failure" (not mentioned in the question) would be when Laura misses a free throw. Since Laura keeps shooting free throws until she makes 12, the number of successes required, denoted as 'r', is 12.

Therefore, 'x' follows a negative binomial distribution with 'r' being 12 successes.

Learn more about binomial distribution here:

https://brainly.com/question/31197941

#SPJ11

The composite functions are given as follows:

The composite function of f(x) and g(x) is given by the function rule presented as follows:

(f ∘ g)(x) = f(g(x)).

For the composition of two functions, we have that the output of the inner function, which in this example is given by g(x), serves as the input of the outer function, which in this example is given by f(x).

The composite functions for this problem are given as follows:

More can be learned about composite functions at https://brainly.com/question/10687170

#SPJ1

Answer:

Step-by-step explanation:h

When comparing the data from the two locations, the measure of center that should be used to determine which location typically has the cooler temperature is the median.

In Sunny Town, the histogram shows that the shaded bars are skewed to the right, indicating that the distribution is positively skewed. This means that there are a few high temperatures that pull the mean towards the higher end.

However, the median, which represents the middle value when the data is arranged in ascending order, is less affected by extreme values and is a better measure of the center for skewed distributions.In Desert Landing, the histogram shows a symmetric distribution, with the shaded bars evenly distributed around the center.

In this case, both the mean and median can be considered reliable measures of the center.Therefore, to determine which location typically has the cooler temperature, we should use the median.

For more such questions on data

https://brainly.com/question/30459199

#SPJ11

The density of a sample of an unknown substance with a mass of 6 grams and a volume of 12 cm³ is 0.5 grams.

Density is a fundamental physical property that measures the amount of matter (mass) packed into a particular space (volume). The mathematical definition of density is simply the mass of an object divided by its volume. Density is typically measured in units of mass per unit volume, such as grams per cubic centimeter (g/cm³) or kilograms per cubic meter (kg/m³). One crucial aspect of density is that it is an intrinsic property of a substance, meaning it is a characteristic that depends solely on the material and is not affected by the amount of the substance. By using density, we can identify the material a particular object is made of. For example, a piece of gold will have a higher density than a piece of silver because gold is a more dense metal. Additionally, the density of an object can be used to determine its buoyancy in a fluid. Objects with a higher density will sink in a fluid with a lower density, while objects with a lower density will float.

Density is defined as the amount of mass per unit of volume. Mathematically, it can be represented as:

Density = Mass/Volume

Substituting the given values, we get:

Density = 6 grams/12 cm³

Density = 0.5 grams/cm³

Therefore, the density of the sample is 0.5 grams/cm³.

To know more about density visit:

brainly.com/question/29775886

#SPJ1

Applying the, Intersecting Chords Theorem, the value of x is calculated as: x = 16.

The Intersecting Chords Theorem is a geometric principle that states that when two chords intersect within a circle, the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord.

Thus, we would apply this theorem to find the value of x in the image given as explained below:

(x - 6)(8) = (x)(5)

8x - 48 = 5x

8x - 5x = 48

3x = 48

Divide both sides by 3

3x/3 = 48/3

x = 16

Learn more about the Intersecting Chords Theorem on:

https://brainly.com/question/13950364

#SPJ1

The answer is 24. To calculate this, 8 1/2% needs to be converted to a decimal by dividing it by 100.

Numbers are often used to measure and compare objects, and they can be used to solve problems and make predictions.

8 1/2% is equal to 0.04.

To calculate the number of poetry books for children, multiply 0.04 by 600.

0.04 x 600 = 24

To find the number of poetry books for children, the decimal equivalent of 8 1/2% needs to be multiplied by the total number of poetry books.

In conclusion, 8 1/2% of 600 poetry books is equal to 24 books.

To calculate this, 8 1/2% needs to be converted to a decimal by dividing it by 100.

Then, the decimal needs to be multiplied by the total number of poetry books. This will give the answer, which can be rounded down if necessary.

For more questions related to decimal

https://brainly.com/question/28393353

#SPJ1

Answer: C

Step-by-step explanation:

Answer:

The answer is 59 ½

Step-by-step explanation:

4×4×4-2×1 ½×1 ½

= 64 - 2× 3/2 × 3/2

= 64 - 9/2

= 128/2 - 9/2

= 119/2

= 59 ½ in3

Hope this helped :)

The correct choice is To control voluntary response bias.

Random assignment helps to control voluntary response bias by icing that individualities are assigned to the treatment and control groups fully arbitrarily, without any input or influence from the individualities themselves.

Voluntary response bias occurs when individuals tone-elect into a particular group, frequently because they have a particular interest or opinion on the content being studied. This can lead to prejudiced results because the individuals who choose to share may not be representative of the larger population.

Random assignment helps to control for voluntary response bias by icing that individualities are assigned to the treatment and control groups fully at arbitrarily, without any input or influence from the individualities themselves. This helps to insure that the groups are representative of the larger population and that any observed differences between the groups are due to the treatment itself, rather than other factors that may be associated with certain individualities or groups.

thus, arbitrary assignment helps to minimize the implicit impact of voluntary response bias on the results of a trial.

Learn more about response bias;

https://brainly.com/question/14493813

#SPJ4

The correct question is given below-

What is the purpose of random assignment in an experiment? Check all that apply.

Group of answer choices

To select a sample that is representative of the population

To create similar treatment groups

To eliminate the effects of the explanatory variable

To control voluntary response bias

Control for confounding variables

For a branch that is taken with 80% frequency, the "predict taken" scheme is the best choice as it provides the highest accuracy of 80% compared to the "predict not taken" scheme (20%) and dynamic predictor with 90% accuracy (82%).

For a branch that is taken with 80% frequency, the "predict taken" scheme will be the best choice, as it will provide an accuracy of 80%. The "predict not taken" scheme would only provide an accuracy of 20%, while the dynamic predictor with 90% accuracy would provide an accuracy of 82% ((90% x 0.8) + (10% x 0.2)).

Thus, even though the dynamic predictor has a high average accuracy, it may not always be the best choice for specific branches. In this case, the "predict taken" scheme is the most suitable option, as it provides the highest accuracy for this particular branch.

Learn more about dynamic predictor here

brainly.com/question/16049975

#SPJ4

The solution to the system of equations is (3, -2). Therefore, the correct answer is A) (3, -2).

To solve this system of equations using substitution, we need to isolate one of the variables in one of the equations and substitute it into the other equation. We can choose to isolate x in the second equation:

x = 2y + 7

Now we can substitute this expression for x in the first equation:

3x + 2y = 5

3(2y + 7) + 2y = 5

6y + 21 + 2y = 5

8y = -16

y = -2

Now that we know the value of y, we can substitute it back into either of the original equations to find the value of x. We'll use the second equation for this:

x = 2y + 7 = 2(-2) + 7 = 3

Therefore, the correct answer is A) (3, -2).

To learn more about equations click on,

https://brainly.com/question/28741084

#SPJ4

When dividing 80,543 by 176, the quotient is 458 with a remainder of 15.

What is the process of 80,543 divided by 176?

We start by dividing the first digit of the dividend (8) by the divisor (176). Since 8 is smaller than 176, we need to look at the first two digits of the dividend 80.

We divide 80 by 176. The result is 0, with a remainder of 80.

We bring down the next digit of the dividend to the remainder, making it 805.

We divide 805 by 176. The result is 4, with a remainder of 111.

We bring down the next digit of the dividend to the remainder, making it 1114.

We divide 1114 by 176. The result is 6, with a remainder of 58.

We bring down the next digit of the dividend to the remainder, making it 583.

We divide 583 by 176. The result is 3, with a remainder of 55.

We bring down the next digit of the dividend (the final digit, in this case) to the remainder, making it 555.

We divide 555 by 176. The result is 3, with a remainder of 27.

Since there are no more digits in the dividend, the quotient is the combination of all the individual results we got from each step. In this case, the quotient is 458, and the remainder is 15.

Therefore, 80,543 divided by 176 is 458 with a remainder of 15.

Learn more about division here,

https://brainly.com/question/30361089

#SPJ9

Correct question is "What is remainder and quotient when 80,543 divided by 176?"

Answer: 7:11

Step-by-step explanation:

Answer:

[tex]y = \frac{1}{3} x + 3[/tex]

Step-by-step explanation:

Start at the point (-3, 2). Go up 1 unit, then right 3 units, to the point (0, 3). The slope of the line is 1/3, and the y-intercept is 3, so we have

[tex] y = \frac{1}{3} x + 3[/tex]

The angles in the triangle are as follows:

A = 32 degrees

B = 58 degrees

The sum of angles in a triangle is 180 degrees. The triangle ABC is a right angle triangle. A right angle triangle has one of its angles as 90 degrees.

Therefore, let's find the angle A and B as follows:

Using trigonometric ratios,

sin A = opposite / hypotenuse

Therefore,

sin A = 8 / 15

A = sin⁻¹ 0.53333333333

A = 32.2286948935

A = 32 degrees

Let's find angle B

B = 180 - 90 - 32(sum of angles in a triangle)

B = 90 - 32

B = 58 degrees

learn more on angles here: https://brainly.com/question/25950519

#SPJ1

Therefore , the solution of the given problem of fraction comes out to be the previous week's rainfall total was 7/4 inches.

Any combination of sections of the same size can be used to represent the whole. Quantity is described as "a portion" under a particular measurement in Standard English. 8, 3/4. Fractions are included in wholes. These act as the ratio divisor, which is a pair of integers in mathematical words. Here are a couple of examples showing how to change straightforward halves into entire numbers.

Here,

Let's refer to the amount of rain that fell the previous week as x inches.

The information provided indicates that it rained 2 1/2 inches on Wednesday, which is 3/4 of an inch more than the quantity that fell the previous week. This knowledge can be expressed as an equation:

=> 2 1/2 = x + 3/4

=> 2 1/2 - 3/4 = x

=> 2 1/2 = 5/2

=> 3/4 = 3/4

=> 5/2 - 3/4 = x

In this instance, 2 and 4 have a common denominator of 4, which is 4. So, using 4 as the common denominator, we can rewrite the fractions as follows:

=> 5/2 - 3/4 = x

=> (5/2) × (2/2) - 3/4 = x

=> 10/4 - 3/4 = x

=> 7/4 = x

Therefore, the previous week's rainfall total was 7/4 inches.

To know more about fraction visit:

https://brainly.com/question/10354322

#SPJ1