X Connor is building square decks. In the center of each deck, Connor places a square tile. The perimeter of the first 4 decks are shown in the table below. If Connor's rule to find the area of the square tile is to divide the area of the deck by 2, what would be the area of the tile for the seventh deck? Deck Perimeter First 24 feet Second 28 feet Third 32 feet Fourth 36 feet o A. 6 square feet O B. 12 square feet C. 72 square feet D. 144 square feet

​

To solve this problem, we can use the formula for probability:

P(event) = number of favorable outcomes / total number of outcomes

First, let's find the total number of outcomes. We are selecting 4 balls from 11 without replacement, so the total number of outcomes is:

11C4 = (11!)/(4!(11-4)!) = 330

where nCr is the number of combinations of n things taken r at a time.

Now let's find the number of favorable outcomes for each part of the problem.

Part 1: Exactly two white balls and two red balls

To find the number of favorable outcomes for this part, we need to select 2 white balls out of 6 and 2 red balls out of 5. The number of ways to do this is:

6C2 * 5C2 = (6!)/(2!(6-2)!) * (5!)/(2!(5-2)!) = 15 * 10 = 150

So the probability of selecting exactly two white balls and two red balls is:

P(2W2R) = 150/330 = 0.45 (rounded to two decimal places)

Part 2: At least two white balls

To find the number of favorable outcomes for this part, we need to consider two cases: selecting 2 white balls and 2 red balls, or selecting 3 white balls and 1 red ball.

The number of ways to select 2 white balls and 2 red balls is the same as the number of favorable outcomes for Part 1, which is 150.

To find the number of ways to select 3 white balls and 1 red ball, we need to select 3 white balls out of 6 and 1 red ball out of 5. The number of ways to do this is:

6C3 * 5C1 = (6!)/(3!(6-3)!) * (5!)/(1!(5-1)!) = 20 * 5 = 100

So the total number of favorable outcomes for selecting at least two white balls is:

150 + 100 = 250

And the probability of selecting at least two white balls is:

P(at least 2W) = 250/330 = 0.76 (rounded to two decimal places)

Number of car sold are 98.

Number of trucks sold are 66.

Given,

Dealer 1 sold 164 cars and trucks and dealer 2 sold 229 cars and trucks .

Let number of cars sold are x.

Let number of cars sold of y .

Now,

For dealership 1 equation will be,

x + y = 164  ......(1)

For dealership 2 equation will be,

As the cars are sold twice and trucks are sold half .

2x + y/2 = 229......(2)

Solving 1 and 2,

y = 66

x = 98

Thus number of car sold are 98.

Thus number of trucks sold are 66.

Learn more about linear equation,

https://brainly.com/question/29111179

#SPJ1

The volume of the rectangular tank is:

V = l × w × h = 40 cm × 30 cm × 35 cm = 42,000 cm³

The initial volume of water in the tank is:

V1 = l × w × h1 = 40 cm × 30 cm × 15 cm = 18,000 cm³

When 4800 cm³ of water is poured into the tank, the new volume of water becomes:

V2 = V1 + 4800 cm³ = 18,000 cm³ + 4800 cm³ = 23,800 cm³

Let's assume that the new water height is h2 cm. We can use the formula for the volume of a rectangular tank to find the new height:

V = l × w × h2

h2 = V / (l × w) = (23,800 cm³) / (40 cm × 30 cm) ≈ 19.83 cm

Therefore, the new height of the water in the tank is approximately 19.83 cm.

Nate has a deductible of $1,000, which means he is responsible for paying that amount out of pocket before his insurance coverage kicks in. The cost of repairing his car is $7,000, which exceeds his deductible.

However, Nate's collision coverage limit is $5,000, which is the maximum amount his insurance will cover for repairs.

Since the cost of repairs exceeds Nate's coverage limit, he will have to pay the difference between the coverage limit and the actual repair cost.

In this case, Nate's out-of-pocket expenses would be $7,000 (repair cost) - $5,000 (coverage limit) = $2,000.

Therefore, Nate will have to pay a total of $2,000 out of pocket for this claim, which includes his $1,000 deductible and the additional $1,000 that exceeds his coverage limit.

For such more question on collision

https://brainly.com/question/7221794

#SPJ8

Answer:

\(+/-3.05\)

Step-by-step explanation:

The margin of error will be the difference divided by two with a plus and minus sign

So we have;

\(29.5-23.4=6.1\)

Divide by \(2\)

\(6.1\) ÷ \(2=3.05\)

\(=3.05\)

Therefore, The margin error is therefore

\(+/-3.05\)

Learn more about the margin error here:

brainly.com/question/17588303

Answer:

9

Step-by-step explanation:

Step-by-step explanation:

In a circle

Diameter (d) = 22 cm

radius (r) = d / 2 = 22 /2 = 11 cm

Hope it will help :)

The mean score of a random student (YY) is 574.5. the standard deviation of the random student's score (YY) is 8.

Given:

- Each correct question is worth 10 points.

- Every student receives an additional 555 bonus points.

Let's calculate the mean and standard deviation of YY:

Mean of YY:

The mean score, denoted as μY, can be calculated using the mean of XX (μX) and the scoring scheme:

μY = μX * 10 + 555

Substituting the value of μX from the given information:

μY = 1.95 * 10 + 555

μY = 19.5 + 555

μY = 574.5

Therefore, the mean score of a random student (YY) is 574.5.

Standard Deviation of YY:

The standard deviation of YY, denoted as σY, can be calculated using the standard deviation of XX (σX) and the scoring scheme:

σY = σX * 10

Substituting the value of σX from the given information:

σY = 0.8 * 10

σY = 8

Therefore, the standard deviation of the random student's score (YY) is 8.

Complete question: Mr. Gupta gave his students a quiz with three questions on it. Let X represent the number of questions

that a randomly chosen student answered correctly. Here is the probability distribution of X along with

summary statistics:

0

1

2

2.

3

X = # correct

P(X)

0.05

0.20

0.50

0.25

Mean: Hex = 1.95

Standard deviation: Ox 0.8

Mr. Gupta decides to score the tests by giving 10 points for each correct question. He also plans to give

every student 5 additional bonus points. Let Y represent a random student's score.

What are the mean and standard deviation of Y?

Learn more about standard deviation at https://brainly.com/question/475676

#SPJ1

Answer: To solve the quadratic equation 8x^2 + 16x + 3 = 0, Patel could use the following steps:

Divide both sides of the equation by 8 to obtain x^2 + 2x + 3/8 = 0.

Rewrite the equation in the form (x + a)^2 = b by completing the square: x^2 + 2x + (1/2)^2 = (1/2)^2 - (3/8).

Rewrite the equation as (x + a)^2 - b = 0. In this case, a = 1/2 and b = -3/8.

Use the quadratic formula to solve for x:

x = (-1/2) +/- sqrt((1/2)^2 - (-3/8))

= (-1/2) +/- sqrt(5/8)

= (-1/2) +/- sqrt(40/64)

= (-1/2) +/- sqrt(10/16)

= (-1/2) +/- (5/8)

= -1 +/- 5/8

= -1 + 5/8 or -1 - 5/8

= -7/8 or 1/8

Therefore, the solutions to the quadratic equation are x = -7/8 or x = 1/8.

Step-by-step explanation:

The numeric value of the exponential expression in this problem is given by the following option:

A. 2^12.

The exponential expression for this problem is defined as follows:

8^x/2^y.

8 is the third power of 2, hence:

8 = 2^3.

When a term is elevated to two of it's powers, the powers are multiplied, hence:

(2^3)^x = 2^(3x).

Meaning that the exponential expression is then written as follows:

8^x/2^y = 2^(3x)/2^y.

When two terms of the same base and different exponents are divided, we keep the base and subtract the exponents, hence the expression is given as follows:

2^(3x)/2^y = 2^(3x - y).

As stated in the problem, the numeric value of the expression 3x - y is given as follows:

3x - y = 12.

Hence the entire expression is simplified as follows:

2^(3x - y) = 2^12.

Meaning that the correct option is given by option A.

More can be learned about exponential expressions at https://brainly.com/question/25537936

#SPJ1

Answer:A. 2^12.

Step-by-step explanation:i did it and got it right

Answer:

6/1 or 6

Step-by-step explanation:

This is the answer because:

1) The reciprocal of a number is the fraction flipped upside down. Basically, when the numerator becomes the denominator and the denominator becomes the numerator.

2) So when you flip the fraction, you will get 6/1 which equals 6

Hope this helps!

Answer:

B. 3188.5 cubic inches.

Step-by-step explanation:

The volume of a cone is calculated using the following formula:

Volume = (1/3) * π * r² * h

Where:

In this problem, we are given that r = 17 inches and S.h = 20 inches.

First we need to find height h.

py using Pythagorous theorem,we get

c²=a²+b²

here c= slight height and a is radius

20²=17²+b²

20²-17²=b²

111=b²

b=√(111)

Plugging these values into the formula, we get:

Volume = ⅓*π* 17² *√(111) = 3188.5 cubic inches

Therefore, the volume of the cone is 3188.5 cubic inches.

Based οn the calculatiοns, the best οptiοn fοr Scοtt is the financing οptiοn οffered by Tοyοta's financial department. This is because it has the lοwest tοtal cοst, which means Scοtt will pay the least amοunt οf mοney οver the cοurse οf the lοan. Amοunt tο Finance = $26,789 - $4,000 - $3,500 = $19,289

Percentage is a way οf expressing a number οr prοpοrtiοn as a fractiοn οf 100. It is represented by the symbοl "%". Fοr example, if 30 οut οf 100 students in a class are girls, we can say that the percentage οf girls in the class is 30%. In οther wοrds, 30% means 30 οut οf 100, οr 0.3 as a decimal.

First, let's calculate the amοunt Scοtt wοuld need tο finance fοr each οptiοn:

Optiοn 1: Tοyοta Financial Department

Amοunt tο Finance = $26,789 - $4,000 - $3,500 = $19,289

Optiοn 2: Scοtt’s Credit Uniοn

Amοunt tο Finance = $26,789 - $4,000 - $3,500 = $19,289

Optiοn 3: Scοtt's Bank

Amοunt tο Finance = $26,789 - $4,000 - $3,500 = $19,289

Next, let's calculate the tοtal cοst οf each οptiοn, including interest and any fees:

Optiοn 1: Tοyοta Financial Department

Tοtal Cοst = $19,289 + 0% interest = $19,289

Optiοn 2: Scοtt’s Credit Uniοn

Tοtal Cοst \(= $19,289 x (1 + 0.0198/12)^{48} + $100\) (prοcessing fee) = $20,747.45

Optiοn 3: Scοtt's Bank

Tοtal Cοst \(= $19,289 x (1 + 0.0297/12)^{60} + $50\) (applicatiοn fee) = $21,614.19

Therefοre, Based οn the calculatiοns, the best οptiοn fοr Scοtt is the financing οptiοn οffered by Tοyοta's financial department. This is because it has the lοwest tοtal cοst, which means Scοtt will pay the least amοunt οf mοney οver the cοurse οf the lοan.

To learn more about percentage from the given link:

https://brainly.com/question/29583350

#SPJ1

Answer:

(4,0)

Step-by-step explanation:

You basically are plotting a point on the positive number 4 on the x line. Since they're only asking for an X and not a Y, you'd leave it as (4,0). Hope this helps!

The gross monthly earnings for February will be $1012.2

It should be noted that gross monthly earnings simply means the earnings that an individual makes for a particular month.

In this case, Dave earns $200 per week plus 4.1 commission. He sold $5175.50 in the month of February. His gross monthly earnings for February will be:

= ($200 × 4) + (4.1% × $5175.50)

= $1012.2

Therefore, $1012.2 will be the earnings.

Learn more about expressions on;

brainly.com/question/723406

#SPJ1

By adding 3 to both sides of the equation (6+3)-3=9-3, this demonstrates the addition property of equality. This results in the equation being simplified to 6+3=9.

The properties of equality describe the relationship between two sides of an equation and state that the two sides remain equal even after the same arithmetic operation is performed on each side. a = a, according to the reflexive property of equality. For example, 5 = 5, because the number's value is equal to itself.

As per the addition property of equality, when we add the same number to both sides of an equation then the two sides remain equal. This can be written as, if a = b, then a + c = b + c.

Translated question "Draw a line from each equation to the property of equality it illustrates. (6+3)−3=9−3 Addition Property of Equality"

Read more about Property of Equality

brainly.com/question/26160231

#SPJ1

Answer:

x = 47

Step-by-step explanation:

x + 121 = 4x - 20

-3x + 121 = - 20

-3x = -141

x = 47

So, the answer is x = 47

An Annual is not an example of an agreement.

Answer:

In Picture

Step-by-step explanation:

Brainliest please~

Answer:

-2

Step-by-step explanation:

f(x) = x² +3x

so f(-1) means f(x= -1) so wherever you see a "x" in your equation you put a "-1"

f(-1) = (-1)² +3*(-1) = 1 -3 = -2

Answer:

Step-by-step explanation:

(x-2)(x-2)(x-4)

Answer:

ok so lets divide 9 by 4 so

9/4=2 1/4

so each person would get 2 licorise and a quarter of another

Hope This Helps!!!

Step-by-step explanation:

To work out the height of the cuboid, we need to use the formula:

Volume = Length x Width x Height

We have been given the volume and the length, so we can substitute those values into the formula:

540 = 6 x Width x Height

Now we need to convert the width from millimeters to centimeters, so we divide it by 10:

150mm ÷ 10 = 15cm

Substituting this value into the formula:

540 = 6 x 15 x Height

Simplifying:

540 = 90 x Height

Dividing both sides by 90:

6 = Height

Therefore, the height of the cuboid is 6cm.

The stock price according to the constant growth dividend model is $68.11 (rounded to two decimal places).

The market value of a share of ownership in a publicly traded corporation is referred to as a stock price.

It is the price that investors are prepared to pay to purchase or sell the company's shares at a specific time, depending on the company's financial performance, its future growth prospects, and the state of the market as a whole.

Investors, analysts, and other members of the financial community pay careful attention to the stock price as it is frequently viewed as a significant indicator of the company's overall worth and health.

According to the constant growth dividend model, the stock price (P) is given by the formula:

P = D / (r - g)

where D is the last dividend, r is the required rate of return, and g is the growth rate of dividends.

Substituting the given values, we get:

P = 5.95 / (0.1188 - 0.0314)

P = 5.95 / 0.0874

P = 68.11

To know more about rate of return visit:

https://brainly.com/question/29966878

#SPJ1

The best description of the graph is "a quadratic function with a constant difference of 2."

A quadratic function is a function of the form f(x) = ax^2 + bx + c, where a, b, and c are constants. In a quadratic function, the graph forms a parabola.

In the given graph, if the differences between consecutive points on the graph are constant and equal to 2, it indicates a constant difference in the y-values (vertical direction) as the x-values (horizontal direction) increase. This is a characteristic of a quadratic function.

On the other hand, an exponential function with a growth factor of 2 would result in a graph that increases at an increasing rate, where the y-values grow exponentially as the x-values increase. This is not observed in the given graph.

Therefore, based on the information provided, the graph best represents a quadratic function with a constant difference of 2.

Learn more about quadratic equation here:

https://brainly.com/question/30164833

#SPJ8

Answer:

I think its the fourth one sorry if I am wrong

Step-by-step explanation:

Answer:

45hours

Step-by-step explanation:

Given

Mary month earnings to be R(x)=13x+155

Josies monthly earning is given as Q(x)=9x+335

If Josie and Mary work to earn the same salary, then R(x) = Q(x)

13x+155 = 9x+335

subtract 155 from both sides

13x+155-155 = 9x+335-155

13x = 9x+180

subtract 9x from both sides

13x-9x = 9x+180-9x

4x = 180

x = 180/4

x = 45

Since  x equals the number of hours worked by Josie and Mary, this means that Josie and Mary must work for 45hours to earn the same salary

Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.

To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.

For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.

For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.

Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.

Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.

For more such question on brand. visit :

https://brainly.com/question/29129317

#SPJ8