If a hotel has 33 king-size beds, 24 queen-size beds, 25 double beds, and 24 twin beds, what is the probability that you will be given a queen-size or a twin-bed when you register, if the beds are chosen randomly?

Based on the degrees of freedom (df) of 2, it can be concluded that there are 3 total categories or levels for the two variables being tested.

In a chi-square test for independence, the degrees of freedom are calculated by subtracting 1 from the number of categories in each variable and multiplying those values together. So, in this case, df = (number of categories in variable 1 - 1) x (number of categories in variable 2 - 1). Since df = 2, there must be 3 total categories or levels for the two variables being tested.

A chi-square test for independence is a statistical test used to determine whether there is a relationship between two categorical variables. The test compares the observed frequency of responses in each category for the two variables to the expected frequency of responses if there was no relationship between the variables. If the observed and expected frequencies are significantly different, the test concludes that there is a relationship between the variables. One of the outputs of the chi-square test is the degrees of freedom (df), which is a measure of the number of categories or levels in the two variables being tested. In general, the more categories or levels there are, the more information the test has to determine whether there is a relationship between the variables.

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The mean repair cost for the stereos is (63.04, 102.86) with an 80% confidence interval.

The critical factor for a 90% confidence interval for the true mean repair cost for stereos is given by;

Critical factor = (x-μ)/(s/√n)

where, x = sample mean repair cost

s =  standard deviation of a sample

n = sample of stereos

μ  = critical value

We have been given that a student records the repair cost for 17 randomly selected washers. a sample mean of $⁢82.95 and a standard deviation of $14.89 are subsequently computed.

Since we don't know the population standard deviation, we used t statistics to create the 80% confidence interval in this case.

So, the 80% confidence interval for the true mean repair cost, μ is ;

⇒ P(-1.337< t₅ < 1.337) = 0.80  

{As the critical value of t at 5 degrees of  freedom are -1.337& 1.337 with P = 5%}

⇒ P(-1.337< (x-μ)/(s/√n) < 1.337) = 0.80

⇒ P(-1.337×(s/√n) < (x-μ) < 1.337×(s/√n)) = 0.80

⇒ P(x - 1.337×(s/√n) < μ < x + 1.337×(s/√n)) = 0.80

80% confidence interval for

⇒ μ = (x - 1.337×(s/√n) , x + 1.337×(s/√n))

Here, x = $82.95 , s  = $14.89 , and n = 17

⇒ μ = (82.95 - 1.337×(14.89 /√17) , 82.95 + 1.337×(14.89 /√17))

⇒ μ = (63.04, 102.86)

Hence, the mean repair cost for the stereos is (63.04, 102.86) with a 80% confidence interval.

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A linear function has an equation of y = mx+b where m = slope and b = y-intercept. The function also has a line graph. By a line graph, the graph must have slope. That means the slope must not equal to 0 or undefined to be a linear function.

Further Explanation

A linear function has both domain and range as set of all real numbers because you are able to solve for x-term when inputting any y-value or solve for y-term when inputting any x-value. We can also find the x-intercept by substituting the value of y to 0 and basically solve for x-term. If we want to know the y-intercept, we can substitute x-term to 0 and solve for y. But most people would only look at b-term from y = mx+b because b-term is the y-intercept of function.

From your question, the function is indeed a linear function. The m-term and b-term both are from y = mx+b where m = slope and b = y-intercept.

Therefore, from y=6x+2. The m-value would be 6 and b-value would be 2

Answer:

6.25%

Step-by-step explanation:

To know the final probability that this has happened, we must multiply the probability of each event, they tell us that the probability that it is a girl is 1/2 and this happened 4 times, therefore:

(1/2) ^ 4 = 0.0625

that is, the probability that 4 girls are born is 6.25%

an unusual probability is considered when it is less than 5%, therefore, although it approaches this figure, it is not unusual

The width of the garden is 18 feet. In this case, the length of the diagonal of the rectangular garden is the hypotenuse, and the length and width of the garden are the other two sides. Let's denote the width of the garden as "w".

Given:

Length of the garden = 24 feet

Diagonal of the garden = 30 feet

Using the Pythagorean theorem, we can set up the following equation:

\(24^2\) + \(w^2\) = \(30^2\)

Simplifying:

576 + \(w^2\) = 900

Subtracting 576 from both sides:

\(w^2\) = 900 - 576

\(w^2\) = 324

Taking the square root of both sides:

w = √324

w = 18

So, the width of the garden is 18 feet.

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we have:24² + w² = 30²Solve the equation:576 + w² = 900Subtract 576 from both sides:w² = 324 Take the square root of both sides:w = √324w = 18So, the width of the rectangular garden is 18 feet.

Using the Pythagorean theorem, we can find the width of the garden. If the length is 24 feet and the diagonal is 30 feet, then the width can be found by taking the square root of (30^2 - 24^2), which is approximately 18.97 feet.

Therefore, the garden is about 18.97 feet wide. We can use the Pythagorean theorem to find the width of the rectangular garden.

The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the diagonal across the garden is the hypotenuse, and the length and width of the garden are the other two sides.

The diagonal is 30 feet, and the length is 24 feet. We need to find the width (w).

The Pythagorean theorem formula is:a² + b² = c²Where 'a' and 'b' are the two shorter sides, and 'c' is the hypotenuse.

In this case, we have:24² + w² = 30²Solve the equation:576 + w² = 900Subtract 576 from both sides:w² = 324Take the square root of both sides:w = √324w = 18So, the width of the rectangular garden is 18 feet.

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\(~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] ~\dotfill\\\\ \left( \sqrt[4]{8^3} \right)^{\frac{1}{3}}\implies \left( 8^{\frac{3}{4}}\right)^{\frac{1}{3}}\implies 8^{\frac{3}{4}\cdot \frac{1}{3}}\implies 8^4\)

Using the slope formula, we can conclude that the slope of the line is m = 2.

So, the slope of the line is:

Now, put the values and solve for the slope as follows:

Therefore, using the slope formula, we can conclude that the slope of the line is m = 2.

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a. the probability that exactly 4 contracts experience cost overruns. b. Probability that fewer than 2 of them experience cost overruns P(X < 2) = P(X = 0) + P(X = 1). c. mean = 20 * 0.16 d. standard deviation = sqrt(n * p * (1 - p)).

To solve these probability questions, we will use the binomial probability formula. In this case, we are interested in the number of contracts that experience cost overruns, given the probability of cost overruns on each contract.

Let's denote the probability of cost overruns on a single contract as p. According to the given information, p = 0.16. The number of contracts sampled is 20.

a. Probability that exactly 4 of them experience cost overruns:

We can use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

where P(X = k) is the probability of exactly k contracts experiencing cost overruns, n is the total number of contracts sampled, p is the probability of cost overruns on a single contract, and C(n, k) is the binomial coefficient.

Plugging in the values, we have:

P(X = 4) = C(20, 4) * (0.16)^4 * (1 - 0.16)^(20 - 4)

Calculating this expression will give us the probability that exactly 4 contracts experience cost overruns.

b. Probability that fewer than 2 of them experience cost overruns:

To find the probability that fewer than 2 contracts experience cost overruns, we need to sum the probabilities of 0 and 1 contracts experiencing cost overruns:

P(X < 2) = P(X = 0) + P(X = 1)

Using the same binomial probability formula, we can calculate these probabilities.

c. Mean number that experience cost overruns:

The mean of a binomial distribution can be calculated using the formula:

mean = n * p

In this case, the mean number of contracts that experience cost overruns is:

mean = 20 * 0.16

d. Standard deviation of the number that experience cost overruns:

The standard deviation of a binomial distribution can be calculated using the formula:

standard deviation = sqrt(n * p * (1 - p))

Applying this formula with the given values will give us the standard deviation of the number of contracts that experience cost overruns.

By calculating these probabilities and statistical measures, we can accurately answer the questions related to the cost overruns experienced by the general contracting firm based on the provided data.

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1. To identify the surface S, we need to analyze the given equation. However, it seems that the equation is missing, as only "z" is mentioned. Please provide the complete equation for a more accurate identification.

2. Once the equation for surface S is provided, we can find the tangent plane at the point (1, 0, 3). To find the tangent plane, we need the gradient of the surface equation.

The gradient of the surface equation gives the direction of the normal vector to the surface at any point. The equation of the tangent plane can then be written as:

(x - x1)(∂f/∂x) + (y - y1)(∂f/∂y) + (z - z1)(∂f/∂z) = 0,

where (x1, y1, z1) is the given point and (∂f/∂x), (∂f/∂y), and (∂f/∂z) are the partial derivatives of the surface equation with respect to x, y, and z, respectively.

To find the tangent plane at (1, 0, 3), we need the equation of the surface S. Please provide the equation so that we can proceed with the calculation.

Please let me know if you have any further questions or if there's anything else I can assist you with.

Answer:

terrells' age is 18 years old

Step-by-step explanation:

d represents dantes' age

t represents terrells' age

d= 3t

d+ t = 72

substitute d to the second equation

d+ t = 72

3t+t=72

4t = 72

t = 18

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Answer:

34.7 ft

Step-by-step explanation:

According to the Pythagorean Theorem:

\(a^2 + b^2 = c^2\)

Where a and b are the legs of the triangle, and c is its hypotenuse.

Solved for the hypotenuse, this is:

\(c=\sqrt{a^2+b^2}\)

In this problem, the width and height of the building represent the a and b values, so we can plug them into the equation to find the hypotenuse.

\(c = \sqrt{(24 ft)^2+(25ft)^2} \\c = 34.7 ft\)

Answer:

hey there,

hey there,in this question

-7 is multiply by 5 then multiply by-2

i want to inform that when minus is mutiply by minus it become plus

Step-by-step explanation:

The coefficients obtained by the student may be less efficient and have larger standard errors compared to the professor's regression.

If the student enters each observation twice, resulting in a sample size of 100 instead of the original 50, the assumption of independent observations is violated in Ordinary Least Squares (OLS) regression. The OLS assumption assumes that the observations are independent, meaning that the value of one observation does not depend on the value of another observation.

In this case, the student's dataset contains repeated observations, which introduces dependence between observations. This violation of the independence assumption can lead to biased and inconsistent parameter estimates in the regression analysis.

Regarding the slope coefficients, if the student runs a regression using the duplicated data, the estimated coefficients may be different from the professor's regression. The duplication of observations inflates the sample size, potentially affecting the precision and accuracy of the estimates.

However, the direction and overall relationship between the variables may still be captured by the student's regression, although the estimates may not be as reliable.

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The net income for the month will be equal to $ 95 -$115 .The term“income” generally refers to the amount of money, property, and other transfers of value received over a set period of time

The term “income” generally refers to the amount of money, property, and other transfers of value received over a set period of time

Result for the Month

Income statement BDGT REAL

Income Wages $ 1.000 $ 850

Expenses Car - gas -$ 300 -$ 200

insurance Food & Personal Items -$ 75 -$ 200

Cell Phone -$ 75 -$ 85

College Savings -$ 300 -$ 220

Recreation -$ 75 -$ 200

Clothes -$ 80 -$ 60

Net Income $ 95 -$ 115

Modified Result for the Month.

Income statement BDGT REAL

Income Wages $ 1.000 $ 850

Expenses Car - gas -$ 300 -$ 200

insurance Food & Personal Items -$ 75 -$ 75

Cell Phone -$ 75 -$ 85

College Savings -$ 300 -$ 220

Recreation -$ 75 -$ 75

Clothes -$ 80 -$ 60

Hence the net income will be $ 95 $ 135

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Answer:

try the diamond see if that works sorry if its wrong

Triangle is  most likely the next step in the series, option D is correct.

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

The first polygon is hexagon which has 6 sides

The second polygon is Pentagon which has 5 sides

The third polygon is square which has 4 sides

As we observe one side is decreasing from the each polygon from 1st to 3

So the fourth polygon will have three sides which is triangle

Hence, triangle is  most likely the next step in the series, option D is correct.

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The correct answer to the above derivative-based question is, d) f(x) = 2x^2 - 6x + 8.

Given f'(x) = 4x - 6, we need to find the function f(x) that gives us this derivative. Integrating f'(x) with respect to x, we get:

f(x) = 2x^2 - 6x + C

To find the value of C, we use the initial condition f(1) = 1:

1 = 2(1)^2 - 6(1) + C
C = 5

Substituting the value of C in the equation, we get:

f(x) = 2x^2 - 6x + 5

Therefore, the correct answer is d) f(x) = 2x^2 - 6x + 8.

We can also verify our answer by taking the derivative of f(x) and checking if it matches the given derivative f'(x):

f(x) = 2x^2 - 6x + 5
f'(x) = 4x - 6

The derivative of f(x) is indeed f'(x), which confirms our answer.

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The critical value of the correlation coefficient for a two-tailed test at alpha = 0.05 with a sample size of n = 23 is approximately plus/minus 0.497.

To understand why this is the case, we need to consider the distribution of the correlation coefficient, which follows a t-distribution. In a two-tailed test, we divide the significance level (alpha) equally between the two tails of the distribution. Since alpha = 0.05, we allocate 0.025 to each tail.

With a sample size of n = 23, we need to find the critical t-value that corresponds to a cumulative probability of 0.025 in both tails. Using a t-distribution table or statistical software, we find that the critical t-value is approximately 2.069.

Since the correlation coefficient is a standardized measure, we divide the critical t-value by the square root of the degrees of freedom, which is n - 2. In this case, n - 2 = 23 - 2 = 21.

Hence, the critical value of the correlation coefficient is approximately 2.069 / √21 ≈ 0.497.

Therefore, the correct answer is A. Plus/minus 0.497.

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Answer:

45 degree angle

Step-by-step explanation:

Pleeaase correct me if  im wrong

Answer:

answer b 8 months

Step-by-step explanation:

you can subtract 100 from 460, to get 360 which if you take 45/360 you would get 8, and have 100 dollars still that you took out

Answer:

10000 total possible PIN numbers.

Answer:

144 m^3

Step-by-step explanation:

Please find attached the image of the prisms

Volume of a triangular prism = area of the base x height  of the prism

Area of the base = 1/2 ( base x height)

the two prisms are similar, thus, the dimensions of the bigger rectangle can be gotten from the ratio of the base of the smaller and bigger triangle

ratio of their dimensions = 6 / 1.5 = 4

the dimensions of the bigger triangle is 4 times that of the smaller triangle

height of the base of the prism = 1.5 x 4 = 6

Height of the prism = 2 x 4 = 8

Area of the base of the prism = (1/2) x 6 x 6 = 18 m^2

Volume of the prism = 18 x 8 = 144 m^3

Answer:

D. 144 m^3

Step-by-step explanation:

Just took the Pre-Test on Edg (2020-2021)!!

Answer:

x = 8cm

Step-by-step explanation:

17² = 15² + x²

289 = 225 + x²

- x² = 225 - 289

x² = 64

x = √64

x = 8

\({ \boxed{ \sf \color{blue}{answer}}}\)

x = 8 cm

Step-by-step explanation:

17² = 15² + x²

289 = 225 + x²

x² = 225 - 289

x² = 64

x = √64

x = 8

Teorema pythagoras

The value of the missing interior angle of the given trapezium would be = 106°

A trapezium is defined as a quadrilateral that has four sides with two sides parallel to each other. The parallel sides of a trapezium are known as the bases, and its non-parallel sides are called legs.

In a trapezium, two angles on the same side are supplementary, that is the sum of the angles of two adjacent sides is equal to 180°.

Therefore, <P + <S = 180°

But <P = 74°

<S= 180-74= 106°

Therefore, the missing value of the interior angles of the given trapezium = 106°.

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Answer:

comparing the means of three or more groups

Step-by-step explanation:

Answer: 25z^4 + 30z^3 + 29^2 +12z + 4

Hope this helps (:

Answer:

D

Step-by-step explanation:

edge 2020

The ratio v2/v1 is the same for any non-zero direction vector of the line l, which shows that the concept of slope is well defined. If v is a direction vector of the line with slope alpha, then (1, alpha) is also a direction vector of the line. The equation of the line through P with slope alpha is y - y1 = alpha(x - x1).

To show that the concept of slope is well defined, we need to prove that the ratio v2/v1 is the same for any non-zero direction vector of the line l. Let u = (u1, u2) be another non-zero direction vector of the line l.

Then, u1v2 = u2v1, since both vectors point in the same direction. Dividing by v1u1 (which is non-zero, since both vectors are non-zero), we get v2/v1 = u2/u1. Therefore, the concept of slope is well defined.

Let v = (v1, v2) be a direction vector of the line l with slope alpha. Then, we have v2/v1 = alpha. Multiplying both sides by v1, we get v2 = alpha v1. Therefore, v = (v1, alpha v1) = v1(1, alpha). Since v1 is non-zero, (1, alpha) is also a direction vector of l.

Let (x, y) be any point on the line through P = (x1, y1) with slope alpha. Then, the direction vector of the line is given by v = (1, alpha). Since P is a point on the line, the vector from P to (x, y) is parallel to v, so we can write (x - x1, y - y1) = t(1, alpha) for some scalar t. Solving for y, we get y - y1 = alpha(x - x1), which is the equation of the line through P with slope alpha.

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Answer:

\( = { \tt{ \frac{120}{10} }} \\ \\ = { \tt{12 \: steps \: per \: minute}}\)

Answer:

120/10 = 12 steps per minute

Step-by-step explanation:

(thats 3 steps every 15 seconds....i think he walked instead of running)