a machine makes 6 article in an hour how many hours does it takes to makes 48 articles​

If Station 1 (at 74, 41) is 44 km away and Station 2( at 0,43 ) is 38 km away. The required approximate location of the GPS receiver is (42, 10).

The location of the GPS receiver can be determined with the help of trilateration. Trilateration is a process of determining absolute or relative locations of points by measurement of distances, using the geometry of circles, spheres, or triangles. If three stations (or more) are in known locations, with a known distance from the point of interest, we can determine the position of the GPS receiver with the help of trilateration.

It can be determined by the following method:

1: Plot the given stations on a coordinate plane. Stations are:

Station 1: (74, 41)

Station 2: (0, 43)

2: Calculate the distance of the GPS receiver from each station using the distance formula.

Distance Formula: The distance formula is used to find the distance between two points in the coordinate plane. The distance between points (x1,y1) and (x2,y2) is given by

d = √[(x2 - x1)² + (y2 - y1)²]

Station 1: Distance from station 1 = 44 kmSo, d1 = 44 km

Station 2: Distance from station 2 = 38 kmSo, d2 = 38 km

3: Plot the given distances as the circle on the coordinate plane.

Circle 1: Centred at (74, 41) with a radius of 44 km.

Circle 2: Centred at (0, 43) with a radius of 38 km.

4: The intersection of two circles. Circle 1 and Circle 2 intersect at point P (approx) (42, 10). So, the approximate location of the GPS receiver is (42, 10).

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If i clap my hands 20 times in 12 seconds. 200 times will i do it in 2 minutes.

The friend can clap his hands 28 times in 12 seconds, according to our knowledge. The first thing we need to know is how many times he can clap in a second:

What is clap ?

Gonorrhea is known by the slang term "the clap." Gonorrhea is also referred to as "the drip." Someone who has an may feel stigmatized and shamed by these words.

To do it, we must divide the number of seconds by the number of times he can clap his hands:

20/12 =1.6667

He can clap his hands 1.6667 times in 1 second:

Now we want to know how many times will he clap his hands in 2 minutes

We have to change 2 minutes into seconds:

1 (minute) = 60 (seconds in 1 minute)

2 (minutes) * 60 (seconds in 1 minute) = 120seconds

After we get the seconds he is going to clap his hands, we have to multiply the times he claps times the seconds:

1.6667 times * 120 seconds = 200

200 times in 2.25 minutes

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Answer:

0.133

Step-by-step explanation:

12+18=30 7$per square inch 4÷30=0.133

Answer:

n=−6

Step-by-step explanation:

make since

a) The null hypothesis can be rejected as we can clearly see with evidence that the premises of the company is not correct.

b) The probability when the test of part (a) is used, the company's premise will be judged correct when in fact 10% of all current customers qualify is < 0.00001.

Step-by-step explanation:

Let P = the proportion of customers who would qualify for membership.

\(H_{0}\): P = 0.05

\(H_{a}\): P ≠ 0.05

Test statistic can be found using the  equation

Z = \(\frac{P(s) - P}{\sqrt{\frac{P}{(1-P)N} } }\)

Here, P(s) = Sample Proportion of the customers qualifying for membership.

P = Sample proportion assumed under null hypothesis.

N = Sample size.

Now, P(s) = \(\frac{40}{500}\) = 0.08

P = 0.05

N = 500

Then Z = \(\frac{0.08 - 0.05}{\sqrt{\frac{0.05}{(1-0.05)500} } }\)  ≈ 3.078

Since the P-value is ≈ 0.002 < 0.01, null hypothesis can be rejected and hence we get that the company's premise is incorrect.

b)

To find the probability that the company's premise is judged correctly, while only 10% of all current customers qualify, we need to find the Z-score and P-value of 10% of all the customers that qualify under the null hypothesis.

Using above equation, Z-score for 10% proportion, i.e., P(s) = 0.10, will be given by:

Z = \(\frac{0.10-0.05}{\sqrt{\frac{0.05}{(1-0.05)500} } }\) ≈ 5.13

and P-Value < 0.00001.

Hence, the probability when the company's premise will be judged correctly for only 10% of qualifying customers is < 0.00001.

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The price of the watch before the discount is calculated to be £24.44.

As the total price of the watch and a pair of trainers is £53. 55 and the price of the trainer before the discount was £38, we first calculate the price of the trainers after the discount as follows;

discount on a pair of trainers = 15/100 × 38 =  £5.7

cost of trainers after discount =  £38 - 5.7 =  £32.3

Now the price of the watch after the discount can be calculated by subtraction as follows;

price of watch after discount = total price - price of trainers after discount

price of watch after discount =  £53. 55 - £32.3

price of watch after discount = £21.25

Now the price of the watch before the discount can be calculated as follows;

price of watch before discount = £21.25 × 15/100

price of watch before discount = £21.25 + £3.1875

price of watch before discount = £24.44

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Answer:

n = m - a

Step-by-step explanation:

Given:

a = m − n

Where,

Actual cost of the item = a

Original price of the item = m

Amount of Coupon = n

Solve the formula for the amount of the coupon

Making n the subject

a = m − n

Subtract m from both sides

a - m = m - n - m

a - m = - n

Divide both sides by -1

(a - m) / -1 = -n / -1

- a + m = n

Can also be written as

n = m - a

It would take more than 291 hours (or approximately 12 days) for everyone to get a picture, assuming they all took the full allotted time of 15 seconds.

This is because 70,000 people multiplied by 15 seconds per picture equals 1,050,000 seconds in total.

1,050,000 seconds is equal to approximately 17,500 minutes, or 291.67 hours.

In other words, it would take more than 291 hours (or approximately 12 days) for everyone to get a picture, assuming they all took the full allotted time of 15 seconds.

However, it is important to note that this is an estimate and there are other factors to consider.

For example, not everyone may want to take a picture, some people may take longer or shorter than 15 seconds, and there may be logistical factors such as crowd control and organization that could impact the time it takes for everyone to get a picture.

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Answer:

1 1/2

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

2 angles. 1 sude

Answer:

72 inches

Step-by-step explanation:

To find a volume you do length×width×height

In this case 4 is the length 6 is the width and 3 is the height.

So, you multiply them together to get the volume equaling 72 inches

I hope this helps and thanks for asking :)

Answer:

41

Step-by-step explanation:

Since it is only being reflected, the letters would match up with their primes and still equal the same amount for the sides. Since B'C' is 41, it would mean that BC is 41 too

Answer:

Step-by-step explanation:

Since the candy is in the shape of a triangular pyramid, we can use the formula for the volume of a pyramid:

Volume of pyramid = (1/3) x base area x height

We know the height of the candy is 12 mm, and the volume of the candy is 204 mm³. So we can rearrange the formula to solve for the base area:

base area = (3 x Volume of pyramid) / (height)

base area = (3 x 204 mm³) / (12 mm)

base area = 51 mm²

Therefore, the area of the base of the candy is 51 mm².

The approximate value of √3 is 1.732 which is an irrational number.

Given that,

We have to find the value of root3.

√3 is an irrational number.

Real numbers that cannot be represented as a ratio are referred to as irrational numbers. Or to put it another way, irrational numbers are actual numbers that defy logic.

Irrational numbers are real numbers that cannot be represented by a straightforward fraction. These can't be stated as ratios, like p/q, where p and q are both integers, q≠0. In terms of statistics, it defies reason.

The approximate value of √3 is 1.732.

Therefore, The approximate value of √3 is 1.732 which is an irrational number.

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There are 15,504 ways to randomly select a team of 5 people from a group of 20 people

If there are 20 people trying out for a team, the number of ways to select a team of n people can be calculated using the formula for combinations, which is:

C(20, n) = 20! / (n! * (20 - n)!)

where C(20, n) represents the number of ways to select n people from a group of 20 people.

For example, if we want to select a team of 5 people, we can plug in n = 5 and calculate:

C(20, 5) = 20! / (5! * (20 - 5)!) = 15,504

Therefore, there are 15,504 ways to randomly select a team of 5 people from a group of 20 people. Similarly, we can calculate the number of ways to select teams of different sizes by plugging different values of n into the formula for combinations.

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Answer:

45

Hope this helps!

Answer:

x = 56°

Step-by-step explanation:

x and 124° are a linear pair and sum to 180° , that is

x + 124° = 180° ( subtract 124° from both sides )

x = 56°

Answer:

56°

Step-by-step explanation:

angle on a straight line = 180°

124° + x =180°

x = 180° - 124

x = 56°

The equation of the graph shown can be written in factored form as follows:

y = a(x - h)(x - k)(x - m)

To find the equation, we need to identify the x-intercepts and the minimum point of the graph.

From the description, we know that the graph starts at the top left and continues down through the x-axis at x = -4. This means that one of the factors is (x + 4).

Next, the graph reaches a minimum around y = -2.8. This indicates that the graph touches the x-axis at this point, so another factor is (x + 2).

Moving forward, the graph goes back down to another minimum around y = -0.4. Again, this means the graph touches the x-axis at this point. So we have another factor, (x + 1).

Now we have all the necessary factors: (x + 4), (x + 2), and (x + 1). To determine the coefficient "a," we can use the fact that the graph goes up after crossing the x-axis at x = -2. This suggests that "a" must be positive.

Therefore, the equation of the graph in factored form is:

y = a(x + 4)(x + 2)(x + 1)

Please note that without specific points, it is not possible to determine the exact value of "a" or the precise shape of the graph. The equation provided represents a general equation that satisfies the given conditions.

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Answer:

90π in^3.

Step-by-step explanation:

Total Volume = volume of cylinder + volume of the hemisphere.

= πr^2h + 1/2*4/3πr^3

= π * 3^2 * 8 + 2/3 π 3^3       ( Note the radius r = 1/2 diameter = 1/2*6 = 3)

= 72π + 18π

= 90π in^3.

Answer: The answer above me is correct.

Step-by-step explanation:  good luck on the quiz :)

The equation of the line that passes through (2, −6) and is perpendicular to y = 2/3x + 4 is y = -3/2x - 3.

The equation of a line in point slope form is expressed as;

y - y₁ = -1/m(x-x₁)

Given the equation of a line y = 2/3x + 4, the slope is 2/3.

Substitute the slope and the point into the equation to have:

m = 2/3

(x₁, y₁) = (2, -6)

Substitute

y-(-6) = -3/2(x-2)

y+6 = -3/2(x-2)

2(y+6) = -3(x-2)

2y + 12 = -3x + 6

2y = -3x  + 6 - 12

2y = -3x - 6

y = -3/2x - 3

This gives the required equation of the line.

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According to the given statement;

The statement is False. Data at the ordinal level can be qualitative or quantitative.

Ordinal data is a form of categorical statistical data where the distances between the categories are unknown and the variables have naturally occurring, ordered categories.

Ordinal is the second of four levels of measurement in a hierarchy that also includes nominal , ordinal , interval , and ratio. The degrees of measurement show how well the data were recorded.

In contrast to nominal and ordinal variables, which are categorical, interval and ratio variables are quantitative.

According to the given data,

The statement is False.

Data at the ordinal level can be qualitative or quantitative.

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The major benefit of enterprise application integration (EAI) is that it allows different applications and systems within an organization to seamlessly communicate and share data.

This integration eliminates data silos and enables real-time data exchange, leading to improved efficiency, productivity, and decision-making within the organization.

By implementing EAI, businesses can achieve the following benefits:

1. Enhanced Data Accuracy and Consistency: EAI ensures that data is synchronized and consistent across different systems, eliminating the need for manual data entry and reducing the risk of errors or discrepancies.

2. Increased Efficiency and Productivity: EAI automates the flow of information between applications, reducing the need for manual intervention and streamlining business processes.

This leads to improved efficiency and productivity as employees spend less time on repetitive tasks.

3. Improved Decision-Making: EAI provides a unified view of data from various systems, enabling better analysis and decision-making. Decision-makers have access to real-time and accurate information, allowing them to make informed and timely decisions.

4. Cost Savings: By integrating existing applications instead of developing new ones from scratch, EAI can help businesses save costs. It reduces the need for duplicate systems, minimizes data duplication, and optimizes IT infrastructure.

5. Scalability and Flexibility: EAI allows organizations to easily integrate new applications or systems as their needs evolve. It provides a flexible framework that can accommodate future growth and changes in business requirements.

Overall, the major benefit of enterprise application integration is the ability to achieve seamless connectivity and data exchange between systems, leading to improved efficiency, productivity, and decision-making in an organization.

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This is a pond in the shape of a prism. It is completely full of water. Colin has to wait for the pond to completely empty is 2hrs and 30minutes.

We have a pond which is completely filled with the water.

Area of the side face ( trapezium shaped)

= 1/2 x (1.4 + 0.6) x 2

= 2 m²

Volume = area x height (here width)

V = 2x1 = 2 m³

The level goes down by 20cm in the first 30 mins

Volume of water that will be taken down =

=0.2 x 1 x 2

=0.4 m³ ( upper water will form cuboid face)

Now,

⇒0.4 m³ water is taken out in 30 minutes

⇒1 m³ water is taken out in 30/0.4 minutes

⇒2 m³ water is taken out in 30/0.4 x 2 minutes

⇒30x2/0.4

⇒150 minutes.

So the pond will be completely empty in 150 min that is 2hrs30mins.

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that the statistic being collected is the mean difference in scores from the beginning and the end of the semester.

In this scenario, the fourth grade class is given a standardized math test at the beginning and end of the semester. The scores from both tests are compared, and the difference between the two scores is calculated for each student. The mean difference in scores is then considered as a statistic to evaluate the overall progress of the class.

Mean difference is a statistical measure that represents the average difference between two sets of data. It is calculated by subtracting the mean of one set from the mean of the other set and then dividing the result by the number of data points.

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Answer:

I think it's 35, because if there's 25 dark and you divide 25 by 5 you get 5, so 1/12 is equal to 5

Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

To find out how much of each leftover paint Josh should mix to achieve a medium pink color (50% red), we can set up a system of equations based on the percentages of red in the paints.

Let's assume that Josh needs x gallons of dark pink paint and y gallons of light pink paint to achieve the desired color.

The total amount of paint needed is 3 gallons, so we have the equation:

x + y = 3

The percentage of red in the dark pink paint is 80%, which means 80% of x gallons is red. Similarly, the percentage of red in the light pink paint is 30%, which means 30% of y gallons is red. Since Josh wants a 50% red mixture, we have the equation:

(80/100)x + (30/100)y = (50/100)(x + y)

Simplifying this equation, we get:

0.8x + 0.3y = 0.5(x + y)

Now, we can solve this system of equations to find the values of x and y.

Let's multiply both sides of the first equation by 0.3 to eliminate decimals:

0.3x + 0.3y = 0.3(3)

0.3x + 0.3y = 0.9

Now we can subtract the second equation from this equation:

(0.3x + 0.3y) - (0.8x + 0.3y) = 0.9 - 0.5(x + y)

-0.5x = 0.9 - 0.5x - 0.5y

Simplifying further, we have:

-0.5x = 0.9 - 0.5x - 0.5y

Now, rearrange the equation to isolate y:

0.5x - 0.5y = 0.9 - 0.5x

Next, divide through by -0.5:

x - y = -1.8 + x

Canceling out the x terms, we get:

-y = -1.8

Finally, solve for y:

y = 1.8

Substitute this value of y back into the first equation to solve for x:

x + 1.8 = 3

x = 3 - 1.8

x = 1.2

Therefore, Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

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Answer:

30

Step-by-step explanation:

divide by 0.75 on both sides.

so,

\(x = \frac{22.50}{0.75} \)

the answer is x=30

The correct statement regarding the probability of choosing a person at random who is a junior and plays video games, and whether these events are independent, is given as follows:

P(junior and video games) = 32%; The two events are not independent.

A probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The outcomes in this problem are given as follows:

Hence the probability is of:

P(junior and video games) = 48/150 = 0.32 = 32%.

The separate probabilities are given as follows:

The multiplication of these probabilities is of:

0.66 x 0.4 = 0.264.

Which is different of 0.32, hence these events are not independent.

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When the book on baseball states that your favorite player gets on base 41% of the time he goes to bat, this percentage indicates the player's on-base percentage (OBP), a measure of how often a batter reaches base through hits, walks, or being hit by a pitch.

The on-base percentage is an important statistic in baseball as it helps to evaluate a player's offensive contribution to their team. A higher OBP means the player is more successful at getting on base, creating more scoring opportunities for their team. In this case, a 41% OBP for your favorite player signifies that they are quite proficient in reaching base.
To calculate the OBP, you can use the formula:
OBP = (Hits + Walks + Hit by Pitch) / (At Bats + Walks + Hit by Pitch + Sacrifice Flies)

Having a 41% OBP means that, on average, your favorite player reaches base 41 times out of 100 plate appearances. This is considered an above-average performance for a batter, as the league average OBP typically hovers around 32%. Your favorite player's OBP demonstrates that they are an effective offensive player, contributing to their team's success by getting on base more frequently than the average player.

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Answer:

5 jumps per 15 seconds

Step-by-step explanation:

60/15 = 4

80/15 = 5

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