Crazy T’s T-shirts can make 3/12 of a sweatshirt order in 1/6 of an hour. How much of an order can Crazy T complete in 1 hour?

Beth's music playlist : Mother music playlist : All the playlist

3 : 2 : 5

so, the ratio between Beth's music playlist to all the playlist = 3 : 5

And the ratio between the mother playlist to all the playlist = 2 : 5

==========================================================

as shown at the table:

when Beth's songs =

A representative sample is one that accurately depicts the a population> This representative sample can be determined through sampling. The examples of sampling methods used are random sampling, stratified random sampling

Total 816 triangles that can be formed using diagonals from a common vertex of a 21-gon.

In mathematics, a diagonal is a line joining two vertices of a polygon or solid whose vertices do not lie on the same edge. Diagonals are generally defined as oblique lines or slanted lines connecting the vertices of a shape. A diagonal is defined as a horizontal shape with sides/edges and corners. 

Solution of the given problem:

Firstly, choose 3 vertices of 21-gon which are not adjacent to each other.

Secondly, connect all three vertices to a common vertex.

Now, there are 18 vertices that are not adjacent to common vertex and there are now 18 diagonals that can be drawn to the common vertex up to these vertices.

To form a triangle using these diagonals, we need to choose 3 of these 18 vertices, this can be calculated using the binomial coefficient formula:

18 choose 3 = 18! / (3! * (18 - 3)!) = (18 * 17 * 16) / (3 * 2 * 1) = 816

Thus, total 816 triangles can be formed.

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Using Stokes's Theorem, the evaluation of F · dr can be obtained by integrating the curl of F over the surface S. The given vector field is F(x, y, z) = \(zx^{2}i + 2xj + y^{2}k\), and the surface S is defined by the equation

z = 1 - \(x^{2} -y^{2}\), where z > 0 and C is oriented counterclockwise .

By computing the curl of F, we find ∇ × F = (2 - 2y)i - 2xj + (2z)k. To evaluate the double integral of ∇ × F · dS, where dS represents the differential area element on the surface S.

To parameterize the surface S, use the cylindrical coordinates. Let x = r cosθ, y = r sinθ, and z = 1 - \(r^{2}\). The normal vector to the surface is given by N = (∂z/∂r)i + (∂z/∂θ)j - rk, which simplifies to -2ri - \(r^{2}\) sinθj - rk.

Now, we can evaluate the integral by substituting the parameterization and the normal vector into the surface integral formula. The integral becomes ∫∫(∇ × F) · N dA

= ∫∫((2 - 2r sinθ)(-2r) - 2r(1 - \(r^{2}\)) - r(2r))r dr dθ   over the appropriate region.

After evaluating this double integral, we obtain the result of F · dr using Stokes's Theorem over the given surface S.

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Answer:

1.67 meters!

Step-by-step explanation:

First, we can start out by converting centimeters to meters. There are 100 centimeters in a meter, therefore to convert centimeters to meters we divide by 100. 17/100=0.17. Then, to figure out how tall Felicidad was last year, we must work backward, and subtract (because when you grow, you add). 1.84 meters- 0.17 meters= 1.67 meters!

Hope this helped!

Answer: y = 1.2x + 2

Step-by-step explanation:

slope = (8 - 2)/(5 - 0) = 6/5

y-intercept = (0, 2)

y = (6/5)x + 2

y = 1.2x + 2

There are approximately over 60 million shipping containers in the world. Containers are stacked and arranged in these ports, creating an impressive sight and highlighting the scale of global trade.

Shipping containers are standardized metal boxes used for transporting goods by sea, rail, or road. They come in various sizes, including 20-foot and 40-foot lengths. These containers have revolutionized global trade, allowing for efficient and secure transportation of goods across long distances. While exact numbers are challenging to determine due to factors such as container movement and usage, estimates suggest that there are over 60 million shipping containers worldwide. This vast quantity of containers enables the global economy to function smoothly by facilitating the movement of goods between countries and continents.

The extensive use of shipping containers has led to the establishment of container ports and specialized container ships that can accommodate large numbers of containers.Moreover, repurposing shipping containers for alternative uses, such as modular homes or pop-up shops, has gained popularity in recent years, demonstrating the versatility and durability of these units.

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When examining group differences with a specified direction, a one-tailed test is used i.e., option b is correct.

In statistical hypothesis testing, researchers often have a specific direction in mind when comparing two groups.

For example, they may hypothesize that Group A performs better than Group B or that Group A has a higher mean than Group B. In such cases, a one-tailed test is appropriate.

A one-tailed test is designed to detect differences in a specific direction. It focuses on evaluating whether the observed data significantly deviates from the null hypothesis in the specified direction.

The null hypothesis assumes no difference or no relationship between the groups being compared.

In a one-tailed test, the critical region is defined on only one side of the distribution, corresponding to the specified direction of the difference.

The critical value, which determines whether the observed difference is statistically significant, is chosen based on the desired level of significance (e.g., alpha = 0.05).

On the other hand, a two-tailed test is used when the direction of the difference is not specified, and the researchers are interested in determining whether there is a significant difference between the groups in either direction.

In this case, the critical region is divided equally between the two tails of the distribution.

A directional hypothesis (option C) is a statement that specifies the expected direction of the difference, but it is not the statistical test itself. The critical value (option D) is the value used to determine the cutoff for rejecting or accepting the null hypothesis.

Therefore, when examining group differences with a specified direction, a one-tailed test is used to assess the statistical significance of the observed difference in that particular direction.

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According to the statement is:

About 15 points lower on IQ tests.

The correct option is (4)

In the United States, almost no one can trace their ancestry back to just one place. And for many, the past may hold some surprises, according to a new study. Researchers have found that a significant percentage of African-Americans, European Americans, and Latinos carry ancestry from outside their self-identified ethnicity. The average African-American genome, for example, is nearly a quarter European, and almost 4% of European Americans carry African ancestry.

The average African-American genome, for example, is 73.2% African, 24% European, and 0.8% Native American, the team reports online today in The American Journal of Human Genetics. Latinos, meanwhile, carry an average of 18% Native American ancestry, 65.1% European ancestry (mostly from the Iberian Peninsula), and 6.2% African ancestry.

So, The correct option is (4)

About 15 points lower on IQ tests.

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Answer:

\( \rm \implies \frac{1}{3} (5x - 8) + \frac{2}{3} x \\ \\ \rm \implies \frac{5}{3} x - \frac{8}{3} + \frac{2}{3} x \\ \\ \rm \implies \frac{5x + 2x}{3} - \frac{8}{3} \\ \\ \rm \implies \frac{7x}{3} - \frac{8}{3} \\ \\ \rm \implies 2 \frac{1}{3} x - 2 \frac{2}{3} \)

Answer:

0 < x < 2

2 < x < 3

-1 < x < 0

Step-by-step explanation:

I would have to say those ones.

Hope this helps.

Answer:

0 < x < 2

2 < x < 3

-1 < x < 0

Step-by-step explanation:

The step that is missing for Jimmy to draw a 50° angle is "He finds 50° on the protractor and draws a mark on the paper" (option B).

According to the process described, Jimmy has already draw the first ray that is going to work as the baseline for him to draw the angle he requires. After this, he will need to line up his protactor with this ray (step 1).

Then the next step would be to use a pencil or similar material to make a mark in the 50°, this is an important step as it guarantees the angle is correct before he draw the line.

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Answer: I'm pretty sure the answer is 78.90

Step-by-step explanation:

Answer:

y=-x-5

Step-by-step explanation:

Slope is the x, since slope is equal to -1, x=-1. For the y intercept you simply add or subtract the number given to you, since it is -5 you would add a -5 to the end of the equation

The increased cost for driving 50 miles in an aggressive manner, given a gas mileage of 14.7 mpg and a cost of $2.92 per gallon, would be approximately $9.93.

To calculate the miles per gallon (mpg) during aggressive driving, we need to determine the new gas mileage after the 30% reduction in efficiency.

Given that the car's EPA highway rating is 21 mpg, and aggressive driving reduces gas mileage by 30%, we can calculate the new gas mileage as follows:

New gas mileage = EPA rating - (EPA rating * Reduction percentage)

= 21 mpg - (21 mpg * 0.30)

= 21 mpg - 6.3 mpg

= 14.7 mpg

Therefore, during aggressive driving, the car's gas mileage would be approximately 14.7 mpg.

To calculate the increased cost for driving 50 miles in this manner, we need to determine the number of gallons consumed during this distance and then multiply it by the cost of gasoline.

Number of gallons consumed = Distance / Gas mileage

= 50 miles / 14.7 mpg

≈ 3.40 gallons

The increased cost for driving the 50 miles can be calculated by multiplying the number of gallons consumed by the cost per gallon of gasoline:

Increased cost = Number of gallons consumed * Cost per gallon

= 3.40 gallons * $2.92/gallon

≈ $9.93

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Answer:

13

Step-by-step explanation:

Product is multiply

h * 5 = 65

Divide 5 on both sides

h * 5 = 65

/5 /5

h = 13

The four angles of a quadrilateral are  30°, 60°, 150°, and 120°  if the four vertices of an inscribed quadrilateral divide a circle in the ratio 1:2:5:4.

It is defined as the four-sided polygon in geometry having four edges and four corners.

We have the four vertices of an inscribed quadrilateral divide a circle in the ratio:

1:2:5:4

Let the sides of the quadrilateral be x, 2x, 5x, 4x.

We know the sum of all angles of quadrilateral = 360°

x+2x+5x+4x=360

12x = 360

First angle, x = 30°

Seconds angle, 2x = 2×30 ⇒ 60°

Third angle, 5x = 5×30 ⇒ 150°

Fourth angle, 4x = 4×30 ⇒ 120°

Thus, the four angles of a quadrilateral are  30°, 60°, 150°, and 120°

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The four angles of a quadrilateral are  30°, 60°, 150°, and 120°

Step-by-step explanation:

Answer: 26% and 26/100

Step-by-step explanation:

Use 0.26 as a fraction; 26/100, and use that 26/100 to convert it as a percentage using 26% out of 100% giving you 26%

The probability that a fair coin will land heads up both times when coin flipped twice can be calculated by multiplying the probability of getting heads on the first flip by the probability of getting heads on the second flip. Since the coin is fair, the probability of getting heads on each flip is 1/2.

Step 1: Calculate the probability of getting heads on the first flip.
The probability of getting heads on the first flip is 1/2.

Step 2: Calculate the probability of getting heads on the second flip.
The probability of getting heads on the second flip is also 1/2.

Step 3: Multiply the probabilities of the individual flips.
1/2 * 1/2 = 1/4

Therefore, the probability that the coin will land heads up both times is 1/4.

Looking at the answer options provided:
a. 0
b. 0.20
c. 0.25
d. 0.50
e. 1

The correct answer is option c. 0.25.

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Answer:

d)

c)

Step-by-step explanation:

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Yes the ratio of m to r is equal to the ratio of x to y

Given m, r, x and y are positive numbers.

m>0,r>0 x>0 ,y>0

(1) The ratio of m to y is equal to the ratio of x to r

\(m/y = x/r\)

(2) The ratio of m + x to r + y is equal to the ratio of x to y

\((m+x) / (r+y) = x/y\)

by solving this equation

my + xy = rx + xy

both side xy will be cancelled.

my = rx

m/r = x/y

in question it is asking is the ratio of m to r equal to the ratio of x to y?

yes the ratio of m to r is equal to the ratio of x to y that statement is correct.

Given Question is incomplete Complete Question here:

If m, r, x, and y are positive, is the ratio of m to r equal to the ratio of x to y?

(1) The ratio of m to y is equal to the ratio of x to r

(2) The ratio of m + x to r + y is equal to the ratio of x to y

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Step-by-step explanation:

=71.09°

Answer:

what is the question?

Step-by-step explanation:

Answer:

D and A

Step-by-step explanation:

8. 1+8n^2-5n-7

8n^2-5n-6

9. -6-7

-13

The given system of equations is: 4x - 3y = 11 and 7x + 5y = 9. The solution to the system of equations is x = 2 and y = -1

To solve this system of equations, we can use the method of substitution or the method of elimination. Let's solve it using the method of elimination:

We can eliminate one variable by multiplying the first equation by 5 and the second equation by 3:

(5)(4x - 3y) = (5)(11)    ->   20x - 15y = 55

(3)(7x + 5y) = (3)(9)     ->   21x + 15y = 27

Now, we can add the two equations together:

(20x - 15y) + (21x + 15y) = 55 + 27

41x = 82

x = 2

Substituting the value of x back into the first equation:

4(2) - 3y = 11

8 - 3y = 11

-3y = 11 - 8

-3y = 3

y = -1

Therefore, the solution to the system of equations is x = 2 and y = -1.

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Answer:

1, 2, 4, 6 are true statements