what is the variance of the number of times a 6 appears when a fair die is rolled 12 times? (enter the final answer in decimal format and round to three decimal places.)

Answer:

1. 79

2. 79.05

3. 79.443

4. 79.675

I just crossed down

Answer:

C. 79

A. 79.05

B. 79.443

D. 79.675

Step-by-step explanation:

Hope this helps but you can give the other person brainliest since he answered first.

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Answer:

I think it is the first one ( 2,0)

but if I am wrong I am sorry

Hello there!

The answer is number one or circle one. Because B is right on top of it. Meaning that it's just one whole number and in this case would be 2.

I hope this helps

Answer:

C

Step-by-step explanation:

In order to find the slope, you can use rise over run.

(y₂ - y₁) over (x₂ - x₁)

You can use the points (1, 1) and (2, -1). y₂ can be -1 and y₁ can be 1, but you could do either as long as you make x₁ and x₂ from the corresponding points (so y₁ and x₁ are one coordinate pair and y₂ and x₂ are the other). This way, you get -2 as your slope. Then, the table shows that y = 3 when x is 0, so that's your y-intercept, which is how you get +3. Hope this helps!

y = -2x + 3 will be the equation represents the data in the table shown.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given, A data Set of the value of x and y that represents a linear equation.

From the slope intercept form of a linear equation,

y = mx + b,

where m is the slope

b is the y-intercept

y- intercept is point in line where the value of x will be 0.

From our data set,

y - intercept = b = 3 (since, at x = 0, y is 3)

And Slope, (m) = (y₂ - y₁)/(x₂ - x₁)

in our case,

m = (1-3)/(1-0)(from first two values of data set)

m = -2

Thus,

Equation of line:

y = -2x + 3

Therefore, The equation of line for the given data set will be y = -2x + 3.

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Answer:

$3,408.49

Step-by-step explanation:

To determine the value of the annuity, we need to use the formula for the future value of an ordinary annuity:

A = P * ((1 + r)^n - 1) / r

Where:

A = Value of the annuity

P = Monthly deposit amount

r = Interest rate per period (monthly interest rate in this case)

n = Total number of deposits

First, let's convert the annual interest rate of 5% to a monthly interest rate. We divide the annual interest rate by 12 (number of months in a year) and convert it to a decimal:

Monthly interest rate = 5% / 12 = 0.05 / 12 = 0.0041667

Next, let's substitute the given values into the annuity formula:

P = $50

r = 0.0041667 (monthly interest rate)

n = 60

A = $50 * ((1 + 0.0041667)^60 - 1) / 0.0041667

Now we can calculate the value of the annuity using a calculator or spreadsheet:

A ≈ $50 * (1.0041667^60 - 1) / 0.0041667 ≈ $50 * (1.28370557 - 1) / 0.0041667 ≈ $50 * 0.28370557 / 0.0041667 ≈ $50 * 68.169768 ≈ $3,408.49

The perimeter of the right triangle based on given points will be equal to 24 units. Hence, option B is correct.

A shape's perimeter is the whole distance encircling it. It is the perimeter or length of the contour of any geometric two-dimensional shape. The circumference of several figures could be compared based on the measurements.

As per the data available in the question,

The right triangle displayed contains three vertex locations: (-4, 4), (4, 4), and (-4, 4). (4, -2). The distance formula can be used to determine the length of a side between the initial two vertices:

distance = \(\sqrt{ ((x_2 - x_1)^2 + (y_2 - y_1)^2)}\)

= √((4 - (-4))² + (4 - 4)²)

=√(8² + 0)

= √(64)

= 8

Using the distance formula, one can figure out how long the side is between the first and second vertices:

distance =\(\sqrt{ ((x_2 - x_1)^2 + (y_2 - y_1)^2)}\)

= √((4 - 4)² + (-2 - 4)²)

= √(0 + (-6)²)

= √(36)

= 6

The Pythagorean theorem can be used to determine the right triangle's hypotenuse's length:

c² = a² + b²

c = √(a + b²)

= √(8² + 6²)

= √(64 + 36)

= √(100)

c = 10

To find the perimeter (P) add all the sides,

P = 8 + 6 + 10 = 24 units.

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there are two solutions:

a) y = \(\frac{-6+2\sqrt{6} }{5}\)

b) \(y = \frac{-6-2\sqrt{6} }{5}\)

Answer:

it's A

Step-by-step explanation:

Trust me I got the question right on the quiz

Answer:

176 in²

Step-by-step explanation: You didn't specify which is the lenght, width, or height, but im 100% sure this is the answer. If it's wrong pls let me know. I hope it helps !!

Cone volume is calculated using the method V=1/3hr2.

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape.

On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.

Consider your square as being composed of smaller unit squares.

The number of unit squares necessary to completely cover the surface area of a specific 2-D shape is used to calculate the area of a figure. Some typical units for measuring area are square cms, square feet, square inches, square meters, etc.

Draw unit squares with 1-centimeter sides in order to calculate the area of the square figures shown below. The shape will therefore be measured.

Hence , Cone volume is calculated using the method V=1/3hr2.

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Complete question-

An ice cream shop is designing a new cone the height h in centimeters and the radius r in centimeters. How to calculate the volume of the cone.?

The estimate for the number of the paintings that are over 70 years old is given as follows:

56.

The histogram shows the number of observations that appear in each range of the data-set.

12 of the paintings in the gallery are over 90 years old, hence the height of each small square is of:

12/(3 x 2) = 2 units.

Then the estimate of those over 70 years old is given as follows:

Hence the sum is given as follows:

22 + 22 + 12 = 56.

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y is sufficient for β

The probability density function (pdf) of an exponential distribution with mean β is given by:

f(y | β) = (1/β)exp(-y/β), for y ≥ 0

To show that f(y | β) is in the exponential family, we need to write it in the form:

f(y | β) = h(y)exp{θT(y) - A(θ)}

where h(y), θ, and A(θ) are functions that depend only on y, θ, and do not depend on β.

First, we can rewrite the pdf as:

f(y | β) = (1/β)exp(-y/β)

= (1/β)exp{(-1/β)y}

= (1/β)exp{(-1/β)yx}

where x = 1.

Next, we can identify the functions h(y), θ, and A(θ):

h(y) = 1

θ = -1/β

A(θ) = -log(-θ)

= -log(1/β)

= log(β)

Substituting these values, we get:

f(y | β) = exp{(-1/β)y}exp{-log(β)}

= exp{(-1/β)y - log(β)}

Therefore, f(y | β) is in the exponential family.

To show that y is sufficient for β, we can use the factorization theorem.

The joint pdf of the sample y1, y2, ..., yn is:

f(y1, y2, ..., yn | β) = (1/β)^n exp{- (y1 + y2 + ... + yn)/β}

= (1/β)^n exp{-n(ybar)/β}

where ybar is the sample mean.

Using the factorization theorem, we can write:

f(y1, y2, ..., yn | β) = h(y)g(T(y), β)

where T(y) = ∑ yi and h(y) does not depend on β.

Therefore, y is sufficient for β.

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Answer:

9 : 4

Step-by-step explanation:

9 bananas, 4 apples and 3 plums

bananas : apples

9 : 4

Answer:

q = 6/13, p = 35/13

Step-by-step explanation:

3p + 2q = 9

2p - 3q = 4

_________ (subtract the two equation from each other.)

p + 5q = 5

p = 5 - 5q

2(5 - 5q) - 3q = 4 (substitute value of p into equation)

10 - 10q - 3q = 4

10 - 13q = 4

-13q = -6

q = 6/13

3p + 2(6/13) = 9 (substitute value of q into equation)

3p + 12/13 = 9

3p = 105/13

p = 35/13

Answer:

6

Step-by-step explanation:

2/.03 = 66.66...7 times .09 = 6

The number is 66.67. And the 9% of the number 66.67 will be 6.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Let the number be 'x'. Then the equation is given as,

3% of x = 2

0.03 x = 2

x = 2 / 0.03

x = 66.67

Then the 9% of that number is calculated as,

⇒ 9% of 66.67

⇒ 0.09 x 66.67

⇒ 6

The number is 66.67. And the 9% of the number 66.67 will be 6.

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Answer:

See explanation.

Step-by-step explanation:

The question is not very clear, but I am assuming that you are asking how to get from 30/8 to 3 6/8

This is a mere simplification problem. We have simplified 30/8 into 3 6/8.

To start, let's check out the multiples of 8 that are less than 30

8, 16, 24. We want the largest multiple, 24. here we have

\(\frac{24}{8} + \frac{6}{8}\)

Simplify 24/8 into 3.

Now you're done!

3 6/8!

Answer:

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

The player's batting average is 0.333.

The baseball player's batting average is found by dividing the number of hits by the number of times at bat. This number is then rounded to the nearest thousandth.

The question states that Cole Becker was at bat nine times with three hits.

To determine the player's batting average, divide the number of hits by the number of times at bat. A calculator can be used to compute this, and the result can be rounded to the nearest thousandth.

Batting Average = Number of hits/Number of times at bat

Batting Average = 3/9

Batting Average = 0.33333333...

Rounded to the nearest thousandth, the player's batting average is 0.333.

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With respect to parenting style, coercive is to confrontative as authoritative is to assertive.

Both pairs involve a parent asserting their authority and expectations, but the former is done through negative reinforcement and the latter is done through positive reinforcement. Coercive parenting is characterized by the use of punishment and criticism to control behavior, while confrontative parenting involves verbal aggression and conflict to establish dominance.

These styles are often associated with negative outcomes such as increased aggression, lower self-esteem, and decreased academic achievement. On the other hand, authoritative parenting is based on clear rules and boundaries that are communicated in a supportive and nurturing environment. This style is associated with positive outcomes such as higher academic achievement, increased self-esteem, and improved social skills.

Similarly, assertive parenting involves clear communication of expectations and limits, but in a positive and respectful manner. Overall, while both coercive and confrontative parenting involves the assertion of authority, authoritative and assertive parenting involves setting limits and expectations in a positive and supportive manner, which leads to better outcomes for children.

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The money in the account at the end of the 4 years is $1034

What is compound interest?

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

Now we are given that the initial amount deposited in the account is $1000

This account is giving 0.85% And we have to figure out how much amount will be there

We use compound interest formula to find the amount

\(A= P(1+r/n)^{nt}\\\\A= 1000(1+0.0085)^{4}\\A = 1000(1.034)\\A= 1034\)

Hence the amount will be after 4 years is $1034.

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The second-order term in the power series is (z - a)^2, the series expansion around x = 0 is called the Maclaurin series, and the 1/n! term in the power series expression arises from the definition of the derivative and ensures convergence of the series. The series expansion that approximates a function f(x) around x = 0 is called the Maclaurin series. It is a special case of the Taylor series where the expansion point is chosen as x = 0.

The term 1/n! in the expression for a power series comes from the definition of the derivative. The coefficients in the power series are determined by taking successive derivatives of the polynomial terms in x. The 1/n! term appears because each term in the series is divided by the factorial of the corresponding derivative order, ensuring that the terms converge as the power increases.

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Answer:

7 times

Step-by-step explanation:

You will divide 162 by 23 to find out how many times 23 goes into 162.

162 / 23 = 7.0

Mark earns $500 for each client he acquires in his personal training business.

In Mark's personal training business, he generates income by acquiring clients. For every client he successfully acquires, he earns $500. This indicates that the total amount of money Mark makes is directly proportional to the number of clients he is able to bring in.

Therefore, the more clients Mark acquires, the higher his earnings will be. It is crucial for Mark to focus on attracting and retaining clients in order to maximize his income in the personal training industry. By providing quality services and building strong relationships with his clients, Mark can increase his revenue and achieve success in his business.

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9514 1404 393

Answer:

Step-by-step explanation:

The tangent of the angle can be found using the identity for the tangent of the difference of angles.

  tan(α-β) = (tan(α) -tan(β))/(1 +tan(α)tan(β))

The tangent of the angle of each vector is the ratio of the j coefficient to the i coefficient.

  tan(α) = -2/3

  tan(β) = 4/7

  tan(α-β) = (-2/3 -4/7)/(1 +(-2/3)(4/7))

  = (-14-12)/(21 -8) = -26/13 = -2

Then the magnitude of the angle between the vectors is ...

  arctan(2) ≈ 63.43°

Answer:

7.62

Step-by-step explanation:

length* width* height = 3/2*1/2*4=7.62 cm

The demand function for good X is Qx = m - 3Px + 2Py, where Qx is the quantity demanded of X, m is income, Px is the price of X, and Py is the price of a related good Y. The equation shows that the demand for X is inversely related to its price and directly related to the price of Y. Income, price of X, and price of Y collectively affect the overall demand for X.


The demand function for good X is given by Qx = m - 3Px + 2Py, where Qx represents the quantity demanded of good X, m is the income, Px is the price of good X, and Py is the price of a related good Y. In this equation, the income and prices are assumed to be positive.

To determine the demand for good X, we can analyze the equation. The coefficient -3 in front of Px indicates that the demand for good X is inversely related to its price. As the price of X increases, the quantity demanded of X decreases, assuming other factors remain constant. On the other hand, the coefficient 2 in front of Py indicates that the demand for good X is directly related to the price of the related good Y. If the price of Y increases, the quantity demanded of X also increases, assuming other factors remain constant.

Furthermore, the term (m - 3Px + 2Py) represents the overall effect of income, price of X, and price of Y on the quantity demanded of X. If income (m) increases, the quantity demanded of X increases. If the price of X (Px) increases, the quantity demanded of X decreases. If the price of Y (Py) increases, the quantity demanded of X increases.

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The correct answer is option C. A sampling plan refers to a detailed strategy for obtaining a sample from a population for the purpose of data collection.

It describes the precise procedures needed to choose the sample, determine the members of the sample, and gather the data.

The sampling strategy should take into account the type of sampling design, sample size, sampling process, and the methods to be employed for data collecting.

The strategy for implementing sampling should be outlined in the plan, along with instructions on how to make sure the sample is representative of the population, how to prevent bias in the sampling process, and how to make sure the data gathered is of high quality.

A good sampling plan should provide a clear and consistent method for gathering data and be founded on basic statistical concepts.

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Answer:

OH DADDY FASTER

Step-by-step explanation:

OY PAPI MAS RAPIDO

The angle between the stick and the base of the box is 77. 9 degrees

To determine the angle between the stick and the base, we have to know the trigonometric identities.

These identities are;

From the information given, we have;

sin A = FB/AB

Given that;

GB = 14.5cm

AB = 18. 6cm

substitute for the length of the sides, we have;

sin A = 14.5/18. 6

Divide the values, we have;

sin A = 0. 7796

Find the inverse sine

A = 77. 9 degrees

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21 + (36 + 0 + 19) Equals 76.

A final result is obtained by adding two or more integers together. Commutative, associative, distributive, and additive identity are the four major characteristics of b. b means that even if the order changes, the addition result will remain the same.

Equation to be used: 21 + (36 + 0 + 19)

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I understand that the you are looking for is :

Several properties are used to evaluate this expression. Identify the property used in each step.

21 + (36 + 0 + 19)

21 + (36 + 19):

21 + (19 + 36):

(21 + 19) + 36:

40 + 36

76