7. Patrick tosses a penny and a number cube, with faces numbered 1 through 6, at the
sume time.
A. Are the events dependent or independent Lxplain your thinking,
the events are independent because me out
GOMG of one does not affect the outcome of t
B. What is the probability char che penny will land on heads and the number cube will
land on a multiple of 32 Show your work.
U can ignore the first one I answered I need help on B

Answer:go on quizlet and it will help you out step by step

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

g(x) = x^2

g(3) = 3^2 =9

g(-3) = (-3)^2 = 9

g(3) + g(-3) = 9+9 =18

Answer:

18

Step-by-step explanation:

g ( x) = x²

g ( 3 ) = ( 3 )² = 9

g ( -3 ) = ( - 3 )²

g ( - 3 ) = 9

g( 3 ) + g ( -3 ) = 9 + 9 = 18

Answer:

It will take 4.4 years to gain $8000.

Step-by-step explanation:

Substitute the values in the formula.  

A = P (1+r/n) nt                    8000 = 6000 (1+0.06/12) 12t  

Use BEDMAS (order of operations) and solve the value in the brackets.

8000 = 6000 (1.005) 12t

Divide both sides by 6000  

1.3 = (1.005) 12t

Take the logarithm of both sides.  

log (1.3) = log (1.005) 12t

Include the exponent in the equation.

log (1.3) = (12t) (log 1.005)  

Divide both sides by log 1.005.

(log⁡(1.3))/(log⁡(1.005)) = 12t

Find out the log.  

52.6039 = 12t  

Divide both sides by 12.  

4.4 = t  

I'm attaching a word document where everything is organized.

Answer:

I believe the answer is 52.

Step-by-step explanation:

I used the shape given to find the surface area because nets are not fun and my brain likes shapes better.

Since the value is a numerical measurement representing a property of a sample, it is statistical.

Given that a sample of workers is chosen, and it is discovered that 55% of them possess a car.

Let's first clarify the distinction between a parameter and a statistic before moving on to the questions.

Parameters are numerical summaries of population statistics. However, statistics are numerical summaries of sample data.

Sample is a subset of the population; as such, it is just a small percentage of the whole population.

The percentage of the sample of employees in this case is 55%. Statistic refers to a numerical representation of data about a sample.

The value is statistical since it is a numerical measurement that describes a property of a sample.

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To determine the total cost of Brooke's car, the following steps can be used:Step 1: Compute the amount of the down payment Down Payment = 10% × $32,000 = $3,200.

Step 2: Calculate the amount financed after the down payment Amount Financed = $32,000 – $3,200 = $28,800.

Step 3: Calculate the monthly payment using the formula: \(`P = (L * i) / [1 - (1 + i)^(-n)]`\) where P is the monthly payment, L is the amount financed, i is the monthly interest rate, and n is the number of months.

Monthly interest rate = APR / 12 = 4.5% / 12 = 0.375% n = 36 months, L = $28,800, i = 0.00375. Therefore, Monthly Payment = \((28,800 * 0.00375) / [1 - (1 + 0.00375)^(-36)] = $848.22.\)

Step 4: Total cost of the car = (Monthly Payment) * (Number of Payments) = 848.22 * 36 = $30,579.92Therefore, the total cost of Brooke's car is $30,579.92.

Thus, Brooke's car costs her a total of $30,579.92.

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Answer:

Step-by-step explanation:

Answer:

thank you

Step-by-step explanation:

no

body

needs

your

free point

be serious

Answer:

x<-2

Step-by-step explanation:

17+4x<9

4x<-8

x<-2

The solution is:

Work/explanation:

Recall that the process for solving an inequality is the same as the process for solving an equation (a linear equation in one variable).

Make sure that all constants are on the right:

\(\bf{4x < 9-17}\)

\(\bf{4x < -8}\)

Divide each side by 4:

\(\bf{x < -2}\)

To determine the maximum and minimum of a function, you need to find the critical points and endpoints, evaluate the function at these points, and compare the values.

The highest value represents the maximum, while the lowest value represents the minimum.

To determine the maximum and minimum of a function, follow these steps:

Find the critical points of the function by finding where its derivative equals zero or is undefined.

Determine the endpoints of the interval you are considering, if applicable.

Analyze the function at its starting and ending locations.

The highest value represents the maximum, and the lowest value represents the minimum.

Let's consider an example using the function f(x) = x^2 - 4x + 3 over the interval [0, 5].

Find the critical points:

Take the derivative of the function: f'(x) = 2x - 4.

Set the derivative equal to zero: 2x - 4 = 0.

Solve for x: 2x = 4,

x = 2.

The critical point is x = 2.

Determine the endpoints:

In this case, the endpoints of the interval are x = 0 and x = 5.

Evaluate the function:

Calculate f(0) = (0)^2 - 4(0) + 3

= 3.

Calculate f(2) = (2)^2 - 4(2) + 3

= -1.

Calculate f(5) = (5)^2 - 4(5) + 3

= -7.

Determine the maximum and minimum:

The highest value is 3, which occurs at x = 0. Therefore, the maximum value is 3.

The lowest value is -7, which occurs at x = 5. Therefore, the minimum value is -7.

To determine the maximum and minimum of a function, you need to find the critical points and endpoints, evaluate the function at these points, and compare the values. The highest value represents the maximum, while the lowest value represents the minimum. It is important to consider the given interval to ensure that the maximum and minimum values are within the specified range.

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ANSWER

x - 6

EXPLANATION

We want to write an algebraic expression that matches the statement:

Six less than a number.

First, let that unknown number be x.

So, 6 less than x.

Since it means that we are taking 6 from x, we subtract 6 from x.

That will be:

x - 6

The rules AAS, ASA, SSS and SAS are congruence rule of triangle  and the each rules has been explained

The rules AAS, ASA, SSS and SAS are congruence rule of triangle

SSS rule is side-side-side rule, it states that if three sides of the one triangle and three sides of the other triangles are equal, then both triangles are congruent

SAS rule is side-angle-side rule, it states that if two sides and one included angles between the sides of the one triangle is equal to  the two sides and one included angles between the sides of the other triangle, then both triangles are congruent

ASA rule is angle-side-angle rule, it states that if two angles and one included side between the angle of the one triangle is equal to the two angles and one included sides between the angles of the other triangle, then both triangles are congruent

AAS rules is angle-angle-side rule, it states that if two angles and one non included sides of the one triangle is equal to the two angles and one non included sides of the another triangle, then both triangles are congruent

Therefore, the AAS, ASA, SSS and SAS are the rules of congruence of the triangle

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Answer:

28.3 units^2

Explanation:

The area A of the circle is given by the formula

where

π = 3.1415..

d = diameter of the circle.

Now, in our case d = 6; therefore,

Rounded to the nearest tenth this is

The dealer's cost is $21,998.15.To calculate the dealer's cost, we first need to determine the total cost of the sedan, including the base price, options, and destination charge. The total cost would be $22,375 + $1,800 + $350 = $24,525.

Next, we need to find out how much the dealer pays for the base price and options. The dealer pays 91.7% of the base price, which is $22,375 * 0.917 = $20,498.75. And the dealer pays 83.3% of the options price, which is $1,800 * 0.833 = $1,499.4. Finally, we add these two amounts to get the dealer's cost: $20,498.75 + $1,499.4 = $21,998.15. Therefore, the dealer's cost is $21,998.15.

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The percentage that she spent on present for her sister is 26.67%

What does % example mean?

Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified. As an illustration, 1% of 1,000 chickens is equal to 1/100 of 1,000, or 10 birds, and 20% of the quantity is equal to 20% of 1,000, or 200.

Given that :

She spent = 360 * 1/5 = $72 on presents for her parents

she spent = 360 - 72 = 288 * 2/3 = $192 on presents for her friends

She spent = 288 - 192 = $96 on presents for her sister

Percentage of the $360 that she spent on presents for her sisters is

96/360 * 100 = 26.67%

Hence the percentage that she spent on present for her sister is 26.67%

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Answer:

The options are missing, but i will answer the general statements about this type of transformation.

A transformation of the type (x, y) ----> (-x, -y) can be written in two forms:

> A rotation of 180° over the point (0, 0)

> A reflection over the line x = y.

Then the statements can be something like:

"The triangle R'S'T' is a reflection over the line x = y of the triangle RST"

Or

"The triangle R'S'T' is the rotation of 180° of the trianlgle RST about the point (0,0)"

Answer: $7.50

Step-by-step explanation:

Answer:

x=73

Step-by-step explanation:

Find the derivate of the expression using the general procedure to find the derivative of a polynomial function. To do it, multiply the term times the exponent of the variable and raise the variable to the original exponent minus 1:

Now that we have the expression for the derivative of the function, evaluate it at the value of x that is in the question statement, which is 1:

The derivative of the function is -2 at x=1.

The survey ratings provide valuable feedback for drivers who are looking for quality tires for their vehicles. These ratings can give insight on steering responsiveness, how quickly a tire wears, and overall customer satisfaction. Drivers can also see how their tire of choice stacks up against other tires, making it easier to make an informed decision when shopping for tires.

The Tire Rack is America’s leading online distributor of tires and wheels. They conduct extensive testing to ensure that customers are provided with the most suitable tires for their vehicles, driving styles, and driving conditions. They also use an independent consumer survey to help drivers gain insight on long-term tire experiences.

The following data show survey ratings on a 1-10 scale, with 10 being the highest rating, of 18 maximum performance summer tires, as of February 3, 2009 (Tire Rack website). The variables are Steering (steering responsiveness), Tread Wear (quickness of wear), and Buy Again (overall tire satisfaction and desire to purchase the same tire again). The Yokohama Aegis LS4 has a Steering rating of 7.9, Tread Wear rating of 7, and Buy Again rating of 7.1. The Dunlop SP20 FE has a Steering rating of 5.7, Tread Wear rating of 5, and Buy Again rating of 3.3.

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To compare the posttreatment t-test scores of two groups of subjects who received different treatments, the appropriate analytic statistic would be a two-sample t-test. An independent samples t-test would be appropriate for analyzing the data.

This test is used to determine whether there is a statistically significant difference between the means of two independent groups. The two-sample t-test assumes that the samples are independent, normally distributed, and have equal variances.

If the probability is lower than a predetermined significance level (usually 0.05), then we reject the null hypothesis that the two group means are equal and conclude that there is a statistically significant difference between the treatments.

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The derivative of the tower function y = (cot(3x))^x^2 is given by:

(dy/dx) = y * (2 * ln(cot(3x)) + 2x * (d/dx) ln(cot(3x)) - 3x^2 * (d/dx) (cot(3x)) * cos(3x) / sin^2(3x))

To find the derivative of the tower function y = (cot(3x))^x^2 using logarithmic differentiation, we follow these steps:

Step 1: Take the natural logarithm of both sides of the equation:

ln(y) = ln((cot(3x))^x^2)

Step 2: Apply the logarithmic properties to simplify the expression:

ln(y) = x^2 * ln(cot(3x))

Step 3: Differentiate both sides of the equation implicitly with respect to x:

(d/dx) ln(y) = (d/dx) (x^2 * ln(cot(3x)))

Step 4: Use the chain rule and product rule on the right side of the equation. Let's calculate each derivative separately:

(d/dx) ln(y) = (d/dx) (x^2 * ln(cot(3x)))

= (d/dx) x^2 * ln(cot(3x)) + x^2 * (d/dx) ln(cot(3x))

The derivative of x^2 with respect to x is 2x. Now, let's calculate the derivative of ln(cot(3x)) using the chain rule.

Let u = cot(3x)

So, ln(cot(3x)) = ln(u)

Apply the chain rule:

(d/dx) ln(u) = (1/u) * (d/dx) u

To find (d/dx) u, we need to differentiate cot(3x) with respect to x. Applying the chain rule again:

(d/dx) u = (d/dx) cot(3x)

= -(1/sin^2(3x)) * (d/dx) (sin(3x))

= -(1/sin^2(3x)) * 3cos(3x)

Now, substitute these results back into the equation:

(d/dx) ln(y) = 2x * ln(cot(3x)) + x^2 * (1/cot(3x)) * -(1/sin^2(3x)) * 3cos(3x)

Step 5: Simplify the expression further:

(d/dx) ln(y) = 2x * ln(cot(3x)) - 3x^2 * cot(3x) * cos(3x) / sin^2(3x)

Step 6: Convert the derivative of ln(y) back to the derivative of y by taking the exponential of both sides:

e^((d/dx) ln(y)) = e^(2x * ln(cot(3x)) - 3x^2 * cot(3x) * cos(3x) / sin^2(3x))

The left side simplifies to y, so we have:

y = e^(2x * ln(cot(3x)) - 3x^2 * cot(3x) * cos(3x) / sin^2(3x))

Thus, the derivative of the tower function y = (cot(3x))^x^2 is given by:

(dy/dx) = y * (2 * ln(cot(3x)) + 2x * (d/dx) ln(cot(3x)) - 3x^2 * (d/dx) (cot(3x)) * cos(3x) / sin^2(3x))

Simplifying the expression further involves substituting the appropriate derivatives of cot(3x) and evaluating trigonometric functions, but this is the general form of the derivative using logarithmic differentiation.

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You can weigh 4 marbles against each other first, then if none are heavier, weigh 3 of the remaining marbles against each other, and if none of those are heavier, weigh the last two marbles against each other to find the heavier one.

An object's power of attraction toward the Earth is measured by its weight. It is the result of multiplying the object's mass by the acceleration caused by gravity.

A scale or balance is a tool used to determine mass or weight. These are also referred to as weight scales, mass scales, weight balances, and mass balances.

To weigh the 12 marbles and find out the heavier one,

This solution will always work because at each step, you are halving the number of marbles you need to check, so you will always be able to find the heavier marble in 3 weighings or less.

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In this study, one individual refers to a single third-grade student from the total population of third graders in the school.

The student collected information on the number of siblings for each member of her class, which consists of 22 students. However, to consider the entire population, we need to take into account all the third-grade classes in the school. Since the school has five different third-grade classes, the population of interest comprises all the third graders across these five classes.

Each student in the population is considered an individual for the study. Therefore, one individual in this context refers to any random third-grade student from the school, regardless of the specific class they belong to. To conduct a comprehensive study and obtain accurate information about the number of siblings among third graders in the school, it would be necessary to collect data from a representative sample across all the third-grade classes.

By doing so, researchers can make inferences and draw conclusions about the entire population of third graders in the school based on the collected data.

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Answer:

equation: x(1.25) + 6.75 = 31.75 refills: 20

Step-by-step explanation:

The mug costs $6.75, and you aren't buying multiple cups, so that number stays the same. The number of refills is "x" since we do not know the amount. Next to "x" we multiply 1.25 for the cost of each refill. So now we have "x(1.25)" then we add $6.75 to the equation, for the mug price. Along with the total at the end. To which we now have "x(1.25) + 6.75 = 31.75"

Now we solve the equation. First, subtract 6.75 from each side

x(1.25) + 6.25 = 31.75

            -6.25    -6.25

Now we have "x(1.25) = 25" So we have to divide each side by 1.25

x(1.25/1.25) = 25/1.25

                x = 20

Therefore, Kim bought 20 refills. To check our work we can replace x with 20 in the original equation.

20(1.25) + 6.75 = 31.75

        25 + 6.75 = 31.75

                31.75 = 31.75

I'm not the best at explanations, but I hope this helped! :)

Answer:

ok so if it's a square means all sides are equal so yo get perimeter you add all sides so 8 plus 8 plus 8 plus 8 equals 32 so 32

Side of square shed = 8

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The perimeter formula for a rectangle is P = 2L + 2W, where P represents the perimeter, L represents the length, and W represents the width. Therefore, the width of the rectangular yard is 72 inches.

Given that the perimeter of the yard is 22 feet and the length of the yard is 5 feet, we can substitute these values into the formula.

22 = 2(5) + 2W

Simplifying the equation, we have:

22 = 10 + 2W

Subtracting 10 from both sides, we get:

12 = 2W

Dividing both sides by 2, we find:

6 = W

So the width of the rectangular yard is 6 feet.

To convert this measurement to inches, we know that 1 foot is equal to 12 inches. Multiplying the width in feet by 12, we find:

6 * 12 = 72 inches

Therefore, the width of the rectangular yard is 72 inches.

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Answer:

5

Step-by-step explanation:

Perimeter of the rectangle: 3+7+3+7=20

Square perimeter is same as rectangle, so square perimeter is also 20.

Side length is 20/4, which is 5