Garry has been working on a new choreography routine all week. So far he has choreographed 8 lines in the song. In order to perform at the end of the 9 weeks, he needs to choreograph 4 more lines per week. How many lines total will he have choreographed if he completes his goal for the rest of the 9 weeks?

Volume = rule area × height

Volume = ( 1/2 × 8 × 9 ) × 4

Volume = 36 × 4

Volume = 144 cubic inches

The probability that Dawn selects a matching pair of socks is approximately 0.267 or 26.7%.

To calculate the probability that Dawn selects a matching pair of socks, we can use the concept of combinations. In this case, we have 3 white, 2 red, and 1 green sock, totaling 6 socks in the drawer. We are interested in finding the probability of selecting a matching pair, which can be either white or red since there is only one green sock.

First, let's find the total possible combinations of selecting two socks from six. This is represented by the formula C(n, k) = n! / (k!(n-k)!), where n is the total number of items and k is the number of items we want to select. In this case, n = 6 and k = 2.

C(6, 2) = 6! / (2!(6-2)!) = 15 total combinations.

Now, let's find the combinations of selecting matching pairs. There are C(3, 2) = 3 combinations for selecting two white socks and C(2, 1) = 1 combination for selecting two red socks. The green sock does not have a matching pair, so it is not considered.

Therefore, the total matching combinations are 3 (white) + 1 (red) = 4.

Finally, to find the probability, we can divide the matching combinations by the total combinations:

Probability = Matching combinations / Total combinations = 4/15 ≈ 0.267.

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The probability is the measure of the chance that the event will occur as a result of and experiment. Mutually exclusive probability of an event complement of event a relative frequency.

What kind of probability is founded on the observed data?

What three forms of probability are there?

Three main categories of probability exist:

Probability in theory. Scientific Probability. Probability axiomatically.

Probability refers to the possibility that a specific occurrence will occur. Probability is the proportion of the number of likely outcomes to the total number of outcomes of an event.

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Answer:

(0, 12 ) and (4, 0 )

Step-by-step explanation:

the y- intercept is the point on the y- axis where the line crosses.

the x- coordinate of any point on the y- axis is zero

substitute x = 0 into the equation and solve for y

y = - 3(0) + 12 = 0 + 12 = 12 ← y- intercept , then

y- intercept is (0, 12 )

the x- intercept is the point on the x- axis where the line crosses

the y- coordinate of any point on the x- axis is zero

substitute y = 0 into the equation and solve for x

0 = - 3x + 12 ( subtract 12 from both sides )

- 12 = - 3x ( divide both sides by - 3 )

4 = x ← x- intercept , then

x- intercept is (4, 0 )

The 2 quarters will cover a greater area.

A circle is a plane figure which is bounded by curved line called circumference. The area of a circle is the amount of space that it will cover on a 2 dimensional plane.

area of a circle = πr^2

where r is the radius of the circle.

From the given question,

a. The diameter of each quarter coin = 1 inch

radius = diameter/ 2

            = 1/ 2

            = 0.5 inches

Area of each quarter coin = πr^2

                         = (22/7)*(0.5)^2

                         = 0.7857

Area of the two quarters = 2 * 0.7857

                           = 1.5714 sq. in.

b. The diameter of 1 half dollar = 1.2 inches

radius = diameter/ 2

           = 1.2/2

           = 0.6 inches

Area of half dollar coin = πr^2

                       = (22/7*(0.6^2)

                       = 1.1314 sq. in.

Therefore the 2 quarters cover greater area compared to the 1 half dollar coin.

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Answer:

A, B and E

Step-by-step explanation:

Answer: A,B and E i did the test

Step-by-step explanation:

Answer:

21:14, 10:5, 12 to 4, 20/6, and 7:2

Step-by-step explanation:

first simplify all the ratios.

the first one is already simplified

12 to 4 = 3 to 1

20/6 = 10/3

21:14 = 3:2

10:5 = 2:1

Next find the least common factor the the three digits, 1, 2, and 3 and which is 6.

Multiply the simplified factors into the least common factor. So 7:2 will be multiplied by 6 so it will be 21:6

Do it with the rest of the factors and get

21:6, 18 to 6, 20/6, 9:6, and 12:6

Finally order them from least to greatest,

9:6, 12:6, 18 to 6, 20/6, and 21:6

or

21:14, 10:5, 12 to 4, 20/6, and 7:2

The breadth of the rectangular plot is equal to the area divided by the length. Therefore, the breadth of the plot is 180 divided by 15, which is equal to 12 meters.

The area of a rectangular plot is equal to the length multiplied by the breadth. This means that if the area of the plot is 180 square meters and the length is 15 meters, then the breadth can be calculated by dividing the area by the length. Therefore, the breadth of the plot is 180 divided by 15, which is equal to 12 meters. This means that the area of the plot is equal to 15 multiplied by 12 which is equal to 180 square meters. As the area and the length are given, the breadth can be easily calculated by dividing the area by the length. This is a simple way to calculate the breadth of a rectangular plot when the area and the length are known.

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Amazon has a better price, their rate is more cheaper.

Amazon sells the slime as 15packs for $45.15

The price of one pack can be calculated as follows

15= 45.15

1= x

Cross multiply both sides

15x= 45.15 × 1

15x= 45.15

divide both sides by the coefficient of x which is 15

15x/15= 45.15/15

x= 3.01

one pack of slime at Amazon is $3.01

The girls sell 5 packs of slime for $20.35

The price of one pack can be calculated as follows

5= 20.35

1= y

cross multiply both sides

5y= 20.35

y= 20.35/5

y= 4.07

The girls sell 1 pack of slime for $4.07

Therefore the person with the best deal is Amazon because their price is much more cheaper

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You can find the coefficient of variation for your data set using a TI-84 calculator by following the below steps.

To find the coefficient of variation (CV) using a TI-84 calculator, follow these steps:

1. Enter the data set values into a list on your calculator. For example, if your data is stored in the list L1, enter the values into L1.

2. Calculate the mean of the data set using the calculator's statistical functions. Press the [STAT] button and navigate to the "Calc" menu. Choose the appropriate mean function (e.g., "1-Var Stats" or "mean") and select the list that contains your data (e.g., L1).

3. Calculate the standard deviation of the data set using the calculator's statistical functions. Press the [STAT] button, navigate to the "Calc" menu, and choose the appropriate standard deviation function (e.g., "1-Var Stats" or "stdDev"). Select the list containing your data (e.g., L1).

4. Divide the standard deviation by the mean and multiply by 100 to calculate the coefficient of variation. Store the standard deviation and mean values in variables if necessary. Use the formula CV = (stdDev / mean) * 100 to calculate the coefficient of variation.

By following these steps, you can find the coefficient of variation for your data set using a TI-84 calculator.

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To find the coefficient of variation on a TI-84 Plus calculator, enter the dataset into a list, calculate the mean and standard deviation, and then divide the standard deviation by the mean and multiply by 100.

To find the coefficient of variation on a TI-84 Plus calculator, follow these steps:

By following these steps, you can find the coefficient of variation for a dataset using a TI-84 Plus calculator.

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   "

Answer:

36.5

Rewrite as an improper fraction

Answer= 73

2

Step-by-step explanation:

\(\sf \longmapsto \: x = \bigg( \dfrac{5}{8} \bigg ) ^{2} \times \bigg( \dfrac{12}{15} \bigg) ^2\)

We need to Find:

\(\sf \longmapsto \: x = \cancel{ \frac{5 \times 5}{8 \times 8}} \times \cancel{ \frac{12 \times 12}{15 \times 15}} \)

\(\sf \longmapsto 2 \times 2\)

\(\sf \longmapsto \: x = 4\)

\(\sf \longmapsto \: x {}^{3} \)

\(\sf \longmapsto {4}^{3} \)

\(\sf \longmapsto4 \times 4 \times 4\)

\(\sf \longmapsto64 {}^{1} \)

\(\boxed{\sf x^3≈64 {}^{}} \)

Answer:

d a m i dont even know this

Step-by-step explanation:

The correct answer is there is a 2.5% chance we will conclude μ>1500, but is in fact μ=1500. The other choices are not correct because they do not accurately reflect the interpretation of the significance level.

When conducting a hypothesis test with a significance level (α) of 0.025, we are setting a threshold for accepting or rejecting the null hypothesis. In this case, the null hypothesis would be that the average number of words on a website's first page is 1500 or less (μ ≤ 1500). The alternative hypothesis would be that the average number of words is greater than 1500 (μ > 1500).

By setting a significance level of 0.025, we are allowing a 2.5% chance of making a Type I error, which means rejecting the null hypothesis when it is actually true. In this context, it means that there is a 2.5% chance we will conclude μ>1500, but the true population mean is actually μ=1500.

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The cost of materials for the least expensive such container is 245.31 dollars .

Suppose the width of container is x (m),

length of the base of container is 2x (m)

the base area of container is (length × width)sq. m i.e 2x² meter².

Since the volume of container is 10 m³.

the height of container = area of container/ volume of container

height of container= 10/2x² m = 5/x² m

The cost of making such container is cost of base = 2x²*10 = 20x².

cost of sides of container = (2×2x × 5/x² + 2× x × 5/x²)×6 = 180/x

The overall cost is hence the sum of the base and the sides: f(x) = 20x² + 180/x

The get the minimum,

df(x)/dx = 20×(2x - 9/x²) = 0

so 2x = 9/x^2 => 2x = 2.0800 ==> x = 1.651 m

f(x) = 245.31 dollars

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When the number under the root sign has no square factors, a radical is said to be in its simplest form.

In the 14th century, the term radical was first used. It was derived from the Late Latin radicalis, which was derived from the Latin radic-, radix, which meant "root." The definition "of, connected to, or proceeding from a root" underlies the first usage of the word "radical," which are all about actual roots.

Radical: The sign used to represent the square root or nth root. Square-root-containing expressions are known as radical expressions. The radical symbol's "radicand" is a number or phrase. A radical equation is one that uses variables as radicands in radical expressions.

Using the Pythagorean theorem, x = 27:

7² + ?² = 9²\sx² = 81 - 49\x = √32\x = 4√2

For the lower portion:

x² + 2² = (4√2)

²\x² + 4 = 32\x² = 28\x = √28\x = 2√7

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We are asked to convert the repeating decimal to fraction

Step 1: Multiply both sides by 100 because there are two repeating digits

Step 2: Subtract the first equation from the second one

Therefore, the fractional form of the repeating decimal 4.7277272... is 52/11

Answer:

Bro math Step-by-step explanation:

The distance from the sun to the other focus is 5.01 × 10⁹ m.

(a) The distance from the center of an ellipse to a focus is an where a is the semi major axis and e is the eccentricity. Thus, the separation of the foci ( in the case of Earth's orbit ) is;

2ae = 2(1.50 × 10¹¹)(0.0167) = 5.01 × 10⁹ m.

(b) To express this in terms of solar radii, we set up a ratio;

(5.01 × 10⁹)/(6.96 × 10⁸) = 7.2

Thus, we can conclude that the distance from the sun to the other focus is 5.01 × 10⁹ m.

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Complete question is;

The Sun's center is at one focus of Earth's orbit. How far from this focus is the other focus, (a) in meters and (b) in terms of the solar radius, 6.96 × 10⁸ m? The eccentricity is 0.0167, and the semimajor axis is 1.50 × 10¹¹ m.

Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.

Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.

Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.

Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.

Three specific brand name products in the consumer marketplace that correspond to these types of purchases are

Convenience Purchase: Coca-Cola (Soft Drink)

Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.

With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.

Shopping Purchase: Apple iPhone (Smartphone)

The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.

The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.

Specialty Purchase: Rolex (Luxury Watches)

Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.

Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.

These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.

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William drove for 5 hours at an average speed of 54 mi/h.

For the first two hours, he drove at a speed of 45 mi/h.

William's average speed for the last three hours.

Let \(x\) represent the average speed for the last three hours (in mi/h).

The total distance traveled in the first two hours is \(\sf\:45 \, \text{mi/h} \times 2 \, \text{h} = 90 \, \text{miles} \\\).

The total distance traveled in 5 hours is \(\sf\:54 \, \text{mi/h} \times 5 \, \text{h} = 270 \, \text{miles} \\\).

The distance traveled in the last three hours is \(\sf\:270 \, \text{miles} - 90 \, \text{miles} = 180 \, \text{miles} \\\).

The average speed for the last three hours can be calculated as:

\(\sf\:\frac{\text{distance}}{\text{time}} = \frac{180 \, \text{mi}}{3 \, \text{h}} \\\)

Simplifying the expression:

\(\sf\:\frac{180}{3} = 60 \, \text{mi/h} \\\)

Therefore, the average speed for the last three hours is \(\sf\:\boxed{60 \, \text{mi/h}} \\\).

Answer:

Therefore, William's average speed for the last three hours was 60 mi/h, so the answer is (C) 60 mi/h.

Step-by-step explanation:

We can start by using the formula:

average speed = total distance / total time

We know that William drove for a total of 5 hours at an average speed of 54 mi/h, so the total distance he covered was:

total distance = average speed x total time

total distance = 54 mi/h x 5 h

total distance = 270 miles

We also know that for the first two hours, his speed was 45 mi/h. Therefore, he covered a distance of:

distance for first 2 hours = speed x time

distance for first 2 hours = 45 mi/h x 2 h

distance for first 2 hours = 90 miles

To find out the distance he covered for the last three hours, we can subtract the distance he covered in the first two hours from the total distance:

distance for last 3 hours = total distance - distance for first 2 hours

distance for last 3 hours = 270 miles - 90 miles

distance for last 3 hours = 180 miles

Finally, we can use the formula again to find his average speed for the last three hours:

average speed = distance for last 3 hours / time for last 3 hours

average speed = 180 miles / 3 hours

average speed = 60 mi/h

1. The area between z=0 and z=0.68 is: 0.7517 - 0.5000 = 0.2517.

2.  The area between z=-0.46 and z=0 is: 0.5000 - 0.3222 = 0.1778.

3. The area between z=-0.34 and z=0.68 is: 0.7517 - 0.3669 = 0.3848.

To find the area under the standard normal curve using the z-table, you need to locate the corresponding z-scores and subtract the areas.

Between z=0 and z=0.68:

From the z-table, the area to the left of z=0 is 0.5000, and the area to the left of z=0.68 is 0.7517.

Therefore, the area between z=0 and z=0.68 is: 0.7517 - 0.5000 = 0.2517.

Between z=-0.46 and z=0:

From the z-table, the area to the left of z=-0.46 is 0.3222, and the area to the left of z=0 is 0.5000.

Therefore, the area between z=-0.46 and z=0 is: 0.5000 - 0.3222 = 0.1778.

Between z=-0.34 and z=0.68:

From the z-table, the area to the left of z=-0.34 is 0.3669, and the area to the left of z=0.68 is 0.7517.

Therefore, the area between z=-0.34 and z=0.68 is: 0.7517 - 0.3669 = 0.3848.

Note: The z-table provides the area to the left of the given z-score. To find the area between two z-scores, you need to subtract the areas corresponding to those z-scores.

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Answer:

3(6x + 1)

Step-by-step explanation:

3(6x + 1) =

18x + 3

To create an example of possible measurements for Shannon's four liquid ingredients, keeping in mind that two are in liters and two are in milliliters, we can consider the following:

1. Let's start by dividing the total volume, 8.53 liters, into two parts - one for the liters and one for the milliliters.
  For example, 6 liters and 2.53 liters (2530 milliliters, since 1 liter = 1000 milliliters).

2. Now, let's divide each of these parts into two measurements each.
  For the 6 liters, we can have two measurements like 3 liters and 3 liters.
  For the 2530 milliliters, we can have two measurements like 1500 milliliters and 1030 milliliters.

So, a possible set of measurements for Shannon's four liquids would be:
- 3 liters
- 3 liters
- 1500 milliliters
- 1030 milliliters

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Answer:

X = -3.1

Step-by-step explanation:

Answer:

the answer is x= -3.1

Step-by-step explanation:

proof its the right answer

We can see that Savings Account 1 offers a slightly higher interest rate but compounds less frequently compared to Savings Account 2. The choice between the two accounts would depend on an individual's preferences and financial goals.

Based on the information provided in the table, we can complete the statement as follows:

"Savings Account 1 offers an interest rate of 2.25% compounded semiannually, with a minimum deposit requirement of $500. On the other hand, Savings Account 2 offers an interest rate of 2.20% compounded quarterly, also requiring a minimum deposit of $500."

The interest rate represents the annual percentage rate (APR) that the account offers. For Savings Account 1, the interest rate is 2.25%, meaning that for every $100 in the account, it will earn $2.25 in interest over the course of a year. This interest is compounded semiannually, meaning it is added to the account balance twice a year.

In contrast, Savings Account 2 offers an interest rate of 2.20%, slightly lower than the first account. However, the interest is compounded more frequently, on a quarterly basis. This means that the interest is added to the account balance four times a year.

Both accounts have the same minimum deposit requirement of $500, indicating that to open either account, a minimum of $500 must be deposited.

Overall, when comparing the two accounts, we can see that Savings Account 1 offers a slightly higher interest rate but compounds less frequently compared to Savings Account 2. The choice between the two accounts would depend on an individual's preferences and financial goals.

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By using the properties of triangles and straight lines we get the values of x as 65° and the value of y as 115°

A) In the given triangles we know that the sum of all the angles is 180 .

Hence :

60 + 55 + c = 180

or, c = 180° - 115°

or, c = 65°

Now the angle marked x is vertical angle to the angle c , hence the value of x is also 65°.

B) Now we know that the value of x is 65°

Again  x + y = 180°

Therefore : 65° + y = 180°  or, y = 180° - 65° or, y = 115°

Three vertices, three sides, and three angles make up a closed triangle. PQR serves as the symbol for a triangle with the vertices P, Q, and R.

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Answer:

32

Step-by-step explanation:

If there are 6 eggs in a row and there are 4 rows, the total number of eggs = 6 x 4 = 24 eggs

The sum of eggs and bagels = 24 + 8 = 32

The exponential function to model the predicted value of Bruce's investment account is

y = 6225 * 2^x.

The formula for an exponential function is f(x) = a^x, where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.

here, we have,

we know that,

An exponential function is written in the form - y=a*(b)^x

Here, y is the function, a is the base value b is the rate and x is time period.

now, we have,

from the given information, we get,

This equation uses the initial value of the account (6225)

and the base of the exponent (2) representing the account will double in value every decade.

if, we have,

the predicted value of Bruce's investment account is y.

time period is, x decades after starting the account.

So, the exponential equation will be -

y = 6225 * 2^x.

Therefore, the exponential equation is .

y = 6225 * 2^x.

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