Suppose a simple random sample of size n=81 is obtained from a population that is skewed right with μ=82 and σ=27.​(a) Describe the sampling distribution of x.​(b) What is P x>87.4​?​(c) What is P x≤75.1​?​(d) What is P 79.3

To look from the guest to their left to the guest to their right at a round table seating 6 people, you need to rotate by 60 degrees.

For a regular polygon with n sides, the sum of its interior angles is given by ((n - 2) × 180) degrees. In the case of a round table seating 6 people, the table can be considered as a hexagon, which has 6 sides. Using the formula, we can calculate the sum of the interior angles:

((6 - 2) × 180) / 6 = (4 × 180) / 6 = 720 / 6 = 120 degrees

Since the table forms a complete circle, the sum of the interior angles is divided equally among the guests. Therefore, each guest sits at an angle of 120 degrees. To look from the guest to their left to the guest to their right, you need to rotate by the angle between adjacent guests, which is half of the angle they sit at:

120 / 2 = 60 degrees

Thus, to look from the guest to their left to the guest to their right at a round table seating 6 people, you need to rotate by 60 degrees.

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The statement If a simple random sample is chosen with replacement, each individual has the same chance of selection on every draw is True.

If a simple random sample is chosen with replacement, it means that after each selection, the chosen individual is placed back into the population before the next selection is made. In this case, each individual in the population has the same chance of being selected for every draw.

The process of replacing the selected individual ensures that the selection probabilities remain constant throughout the sampling process. As a result, each individual has an equal probability of being chosen on each draw, making the statement true.

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Answer:

8/12 ;; 66%

Step-by-step explanation:

If you have 4 questions, with each having 3 answers, then you have 12 options (the denominator). If one is correct for each answer, then the correct is 4/12. Then you have to find the remaining part to see what is wrong.

Answer:

D

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Functional dependency SSN --> Name exists in the table STUDENT is TRUE, The correct option is (A)

due to the fact that a student ID is a primary key in a table and that (StudentID, SSN) can also combine to form a composite key that can be used to identify a record in a table in a unique way. The augmented functional dependency between the StudentID and SSN enables you to locate additional data in the table. However, using only StudentID will also assist you in finding data in the table.

Since it could be a candidate key, this is true because it can be used in part of augmented functional dependency.

Thus, the SSN matches the name in the STUDENT table.

So, SSN ----> Name holds in STUDENT table.

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(complete question)

Observe the table STUDENT:

STUDENT

StudentID SSN Name Class

D111 111-11-1111 Connor Freshman

D222 222-22-2222 Trevor Freshman

D333 333-33-3333 Connor Sophomore

D444 444-44-4444 Parker Sophomore

D555 555-55-5555 Connor Sophomore

Functional dependency SSN --> Name exists in the table STUDENT.

True

False

Answer:

10% of 25 is 5/2 or 2½ as a fraction and 2.5 as a decimal. Let's find 10% of 25.

Step-by-step explanation:

The number of question that has a worth of 3 points and 5 points will be 40 and 6, respectively.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Your instructor is giving you a test worth 150 focuses. A few inquiries are worth 3 focuses and the rest are worth 5 focuses. There are 46 inquiries on the test.

Let 'x' be the number of questions of worth 3 points and 'y' be the number of questions of worth 5 points. Then the equations are given as,

3x + 5y = 150                 ...1

x + y = 46                      ...2

From equations 1 and 2, then we have

3(46 - y) + 5y = 150

138 - 3y + 5y = 150

2y = 12

y = 6

Then the value of 'x' is calculated as,

x + 6 = 46

x = 40

The number of question that has a worth of 3 points and 5 points will be 40 and 6, respectively.

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Answer:

answer is 0

Step-by-step explanation:

3/4-1/4=2/4

2/4-2/4=0

Answer:

See below

Step-by-step explanation:

The chi-squared analysis aims to check whether observed frequencies in one or more categories match up with expected frequencies. I don't see any answer choices, but hopefully this short explanation will help!

The population means may be the same

So, option D is correct.

What is meant by confidence interval?

In statistics, the probability that a population parameter will fall between a set of values a predefined percentage of the time is known as the confidence interval. Analysts typically use confidence intervals that cover 95% or 99% of the expected observations while assessing data. In frequentist statistics, an estimation range for an unknown parameter is referred to as a confidence interval. The most common confidence level for computing confidence intervals is 95%, however other levels, such 90% or 99%, are also occasionally employed. The conclusion is reached that the result is statistically significant if the confidence interval eliminates the value of zero effect.

If (μ₁- μ₂=0) is included in the confidence interval, that means this two means have the same difference that is zero.

Therefore, they may be nearly same,

So, The population means may be the same

Hence, option D is correct.

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The confidence level with which this statement can be made is this: 90%

To determine the confidence level for the given measurements, we will first determine the z-score with the formula: z = (x − μ)/ σ

First;

z * 311./√50

= 727.5  -  582.5 /2

= 72.5

z score = 72.5 *√50/ 311.7

= 1.6447

But, Z ≤  1.6447 = 0.95, and,

Z >  1.6447 = 0.05

α/2 =  0.05

So, 1 - α = 0.09 or 90%.

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The value stored in the variable x after the execution of the following code snippet will be b) 2.

The right-click context menu option or a combination of hotkeys can be used to add code snippets, which are compact chunks of reusable code, to a code file. Although try-finally and if-else blocks, for example, are frequently used code blocks found in code snippets, you can also use them to add whole classes or methods.

Learn more about using the templates tool to create reusable emails. Applications and web pages use snippets. Snippets are made to be reusable and to add functionality, like connecting various parts of a program.

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Answer:

prepare for unexpected bills or emergency repairs

Step-by-step explanation:

\((\stackrel{x_1}{9}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-7}~,~\stackrel{y_2}{4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{4}-\stackrel{y1}{(-1)}}}{\underset{\textit{\large run}} {\underset{x_2}{-7}-\underset{x_1}{9}}} \implies \cfrac{4 +1}{-16} \implies \cfrac{ 5 }{ -16 } \implies - \cfrac{ 5 }{ 16 }\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{- \cfrac{ 5 }{ 16 }}(x-\stackrel{x_1}{9}) \implies y +1 = - \cfrac{ 5 }{ 16 } ( x -9)\)

The concentration of bacteria in the river water sample is 4.00 cells/100 mL.

The concentration of bacteria in the river water sample can be calculated as follows:Concentration (cells/100 mL) = (Number of colonies/Volume of filter plated) × Dilution factorThe dilution factor is calculated by taking the volume plated (3 mL) and dividing it by the volume filtered (e.g., 100 mL). This will give us the factor by which we must multiply the number of colonies to obtain the concentration of bacteria in the original sample.Assuming that you used a 1:10 dilution of the filtered sample, the calculation would be as follows:Volume of water filtered = 100 mLVolume of sample plated = 3 mLDilution factor = 3 mL/100 mL = 1/33Plate count = 12 coloniesConcentration (cells/100 mL) = (12 colonies/3 mL) × (1/33) = 0.1212 × 33 = 4.00 cells/100 mLTherefore, the concentration of bacteria in the river water sample is 4.00 cells/100 mL.

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Answer: 35

Step-by-step explanation: add the angles which is 90 and 55. then subtract it from 180. sorry for my bad english, it’s not my first language.

Answer:

k = 75

Step-by-step explanation:

Let's write down the prime factors of 15 and 375

15 = 3 x 5

375 = 3 x 5 x 5 x 5

So 15 x 375 = 3 x 5 x 3 x 5 x 5 x 5

= (3 x 3) x   (5 x 5 x 5) x 5

This cannot be a perfect cube

However if we multiply this by 3 x 5 x 5 we will get

(3 x 3 x ) x (5 x 5 x 5) x(5 x 5 x 5) which is a perfect cube

Since we are asked to find k such that 15 x 375 x k is a perfect cube

k = 3 x 5 x 5 = 75

ans
k = 75

Alessia spent $5,408 on entertainment in 2021.

To determine how much Alessia spent on entertainment in 2021, we need to work backward from the given information about her salary in 2022.

Let's assume Alessia's salary in 2021 was the same as in 2022, which is $26,000 after tax.

Since Alessia spends 35% of her after-tax salary on rent, we can calculate her rent expenditure:

Rent = 35% × $26,000

= $9,100

The remaining amount is split between food, petrol, and entertainment in the ratio 6:11:8.

To determine the ratio's total parts, we sum the individual parts:

Total parts = 6 + 11 + 8 = 25

Next, we calculate the value of one part of the ratio:

One part = ($26,000 - $9,100) / 25

= $16,900 / 25

= $676

Now, we can calculate how much Alessia spent on entertainment in 2021, which is 8 parts of the ratio:

Entertainment expenditure = 8 × $676

= $5,408

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The domain of the function shown in the graph above include the following: D. {x|x ≥ -4}.

In Mathematics, a domain can be defined as the set of all real numbers for which a particular function is defined.

In Mathematics, the horizontal extent of any graph of a function represents all domain values and they are read and written from smaller to larger numerical values, and from the left of a graph to the right.

By using set builder notation, the domain of this function shown in the graph above can be written as follows;

Domain = {-4, ∞}

Domain = {x|x ≥ -4}

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Answer: 180

Step-by-step explanation:

• 15 x 4 = 60

• 60 x 3 = 180

Therefore the answer is 180.

The statement " a shadow price indicates how much the optimal value of the objective function will increase per unit increase in the right-hand side of a constraint" is true because  shadow prices provide valuable information about the marginal value of resources and constraints in linear programming problems

A shadow price represents the marginal value of a resource or constraint in a linear programming problem. It indicates how much the optimal value of the objective function will increase if the right-hand side of a constraint is increased by one unit, while keeping all other constraints and variables fixed. The shadow price of a constraint is calculated by adding one unit to the right-hand side of the constraint and re-solving the linear programming problem.

The resulting increase in the objective function value is the shadow price of that constraint. Shadow prices are useful in making decisions about resource allocation, pricing, and capacity planning in a variety of industries such as manufacturing, transportation, and energy.

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If a sector of a circle has a central angle measure of 90°, and an area of 7 square inches then the area of the entire circle is 35.44 square inches.

We can use the formula for the area of a sector to solve this problem:

Area of sector = (θ/360)πr²

We are given that the central angle measure is 90°,

so θ = 90.

Area of the sector is 7 square inches.

We can set up an equation:

7 = (90/360)πr²

7 = (1/4)πr²

Multiplying both sides by 4/π, we get:

28/π = r²

r =3.36 inches

Now that we know the radius of the circle, we can find its area using the formula:

Area of circle = πr²

Substituting r = 3.36, we get:

Area of circle = 35.44 square inches

Therefore, the area of the entire circle is 35.44 square inches.

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The optimal solution for the amount of cash to withdraw each time to minimize transportation costs and maximize interest earnings is determined by calculating the Economic Order Quantity (EOQ) using the formula Q = √((2 * C * T) / r), and rounding the result to a convenient amount.

The Economic Order Quantity (EOQ) model is typically used for inventory management, not for optimizing cash withdrawals. However, if we assume that the question is seeking an optimal withdrawal strategy to minimize transportation costs and maximize interest earnings, we can approach it as follows:

Let's denote:

C = Annual cash need ($5,000)

T = Transportation cost per visit ($5)

r = Annual interest rate (5%)

To find the optimal solution for the amount of cash to withdraw each time, we can consider the trade-off between transportation costs and interest earnings. The objective is to minimize the total cost.

Calculate the optimal order quantity (Q) using the EOQ formula:

Q = √((2 * C * T) / r)

Round the calculated Q to the nearest convenient amount, such as multiples of $100 or $500.

The optimal solution would be to withdraw the rounded Q amount each time to minimize transportation costs while still meeting the annual cash need.

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Answer:

535 POUNDS

Step-by-step explanation:

The total cost of the trip is 1280+640+220= 2,140

2140/4 = 535

Answer:

Sorry I’m not sure because my answer seems to simple so it may be wrong

Step-by-step explanation:

Total cost: £2,140

2,140 ÷ 4 = 535

So each friend including Tim pays $535 for the trip

Answer:

D

Step-by-step explanation:

Answer:

C. 40 square meters

Step-by-step explanation:

The area for a kite can be figure out with this formula. pq/2. Substitute p for 8 & q for 10.

A = pq/2 {Substitutions made}

A = (8 * 10)/2 {Multiply 8 by 10 to get 80.}

A = 80/2 {Divide 80 by 2 to get 40.}

A = 40 square meters

The area of this kite of 40 square meters, which is C.

a. The distance a baseball travels in the air after being hit is a continuous random variable. b. The number of free-throw attempts before the first shot is made is a discrete random variable.

a. The distance a baseball travels in the air after being hit is a continuous random variable. A continuous random variable can take on any value within a certain range, and in this case, the distance can theoretically take on any non-negative real value. The distance can vary continuously, such as 100.5 feet, 100.51 feet, or even 100.5123456 feet. Therefore, it is considered a continuous random variable.

b. The number of free-throw attempts before the first shot is made is a discrete random variable. A discrete random variable can only take on specific, separate values, usually whole numbers or a countable set of values. In this case, the number of attempts can only be an integer value, such as 0, 1, 2, and so on. You cannot have a fractional or non-integer number of attempts. Hence, the number of free-throw attempts before the first shot is made is a discrete random variable.

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The value of the expression after evaluating it according to the values of c and d is 42.

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Since, no expression is given, let us assume that the expression is

c + d / 4

Now we have to evaluate the value of the expression according to the values of c and d,

For that, we will simply put the given values in the expression and solved it accordingly,

Put c = 36 and d = 24 in the expression we assumed,

c + d / 4 = 36 + 24/4

= 36 + 6 = 42

Hence, the value of the expression after evaluating it according to the values of c and d is 42.

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