Evan has 25.5 kilograms of dirt. If he adds 14.1 kilograms, how many 2.2 kilogram containers can he fill?

Answer:

= 4

Step-by-step explanation:

12x / 3x

12/3 = 4

x/x = 1

then:

12x / 3x = 4*1 = 4

= 4

We have

=12x/3x

Here 12 is divided by 3 with 4 times

and x cuts x

Hence, answer=4

The rowing speed of the crew in still water is 6 km/h.

Let us say the rowing speed of the crew in still water is v km/h.
Then their speed upstream is (v-3) km/h and their speed downstream is (v+3) km/h.
Now, we can form the equation as follows: 2 hours 40 minutes = time to travel upstream + time to travel downstream
2 hours 40 minutes can be written as (2 + 40/60) hours or (5/3) hours.
Distance traveled upstream = Distance traveled downstream= 6 km
Let us assume that the time taken to travel upstream is t hours.
Then the time taken to travel downstream is (5/3 - t) hours.
Therefore, the distance traveled upstream = (v - 3)t km and the distance traveled downstream = (v + 3)(5/3 - t) km.
We can now write the following equation based on the above-mentioned details:6 = (v - 3)t + (v + 3)(5/3 - t)
Now, we can simplify this equation as follows:6 = (v - 3)t + (5v/3) - (v + 3)t2t = (5v/3) - (v/3)2t = 4v/3t = (2/3)v
Substituting the value of t in the equation v - 3t = 6, we can get the value of v as follows:
v - 3(2/3)v = 6v(1 - 2) = 6v = -6/(-1) = 6

Therefore, the rowing speed of the crew in still water is 6 km/h.

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The range of the test scores in Mr. Miller's math class is 42.

Mathematically, the range refers to the difference between the highest value and the lowest value in a data set.

The range is computed by subtraction of the lowest value from the highest value.

Mr. Miller can use the range to measure the spread or dispersion of the test scores.

Test Scores:

52, 61, 69, 76, 82, 84, 85, 90, 94

Highest score = 94

Lowest score = 52

Range = 42 (94 - 52)

Thus, we can conclude that for the math students in Mr. Miller's class, the range of their test scores is 42.

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The odds of selecting a red 9 is 1/26.

Probability of an event E is represented by P(E)  can be defined as (the number of favorable outcomes) / (Total number of outcomes).

Given the total number of cards in a standard deck = 52

there can be  only two red9 as one 9 from heart and one red from diamond.

So the number of outcome for red 9 =2

the probability of odds of selecting red 9 is \(\frac{2}{52}\) which can be further simplified into \(\frac{1}{26}\).

Therefore , The odds of selecting a red 9 is 1/26.

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Answer:

I believe it is 40% since there are 4 marbles within the bag!

Step-by-step explanation:

The probability that the committee consists of 3 men and 2 women is 10/63.

As per the given question.

The committee consists of 9 people (6 women ad 3 men).

5 are choosen at random.

Then, the probability that the committee will have the of 3 men and 2 women is;

P(3 men + 2 women) = (select 3 men of of 3 men)(select 2 women out of 5 women) / (choose 5 out of 9 total)

P(3 men + 2 women) = (³C₃ . ⁵C₂)/ ⁹C₅

Solve the combination.

P(3 men + 2 women) = 1 x 20 / 126

P(3 men + 2 women) = 10/63

Thus, the probability that the committee consists of 3 men and 2 women is 10/63.

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The complete question is-

A committee of 5 is to be selected from a group of 6 women and 3 men. If the selection is made randomly, what is the probability that the committee consists of 3 men and 2 women?.

The critical value Za/z for a 90% confidence level is 1.645.

The critical value Za/z corresponding to a given confidence level represents the number of standard deviations from the mean that defines the boundaries of the confidence interval.

To find the critical value for a 90% confidence level, we need to determine the value of Za/z.

In the case of a standard normal distribution, the critical value Za/z is obtained by finding the z-score associated with the desired confidence level.

For a 90% confidence level, we want to find the value of Za/z such that the area under the standard normal curve between -Za/z and Za/z is 0.90.

Using a standard normal distribution table or a statistical calculator, we can look up the z-score that corresponds to a cumulative probability of 0.95 (0.90 + (1-0.90)/2 = 0.95).

This value represents the number of standard deviations from the mean that includes 95% of the data, leaving 5% in the tails.

The critical value Za/z for a 90% confidence level is approximately 1.645 when rounded to two decimal places. This means that the confidence interval will extend 1.645 standard deviations on either side of the mean.

This value is used in various statistical analyses to construct confidence intervals and make inferences about population parameters.

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a)  Nullclines are the x-axis (y = 0) and the line x = 1 (y = 2). Equilibrium points (0, 0) and (1, 2).

b) Arrows pointing right and downward along nullclines.

c) Arrows pointing in the positive/negative x and y direction in each open region.

a) The curves with either x' or y' equal to 0 are the nullclines of the system. The nullclines can be found by solving for x and y and then setting x' and y' equal to 0:

x'= 0 ⇒ y(y − 2) = 0 ⇒ y = 0, y = 2

y'= 0 ⇒ 1 − x = 0 ⇒ x = 1

The x-axis (y = 0) and the line x = 1 (y = 2) are hence the nullclines. The positions (0, 0) and (-1, 1) at which the two nullclines overlap are the equilibrium points (1, 2).

b) When the solution point is on the nullcline, arrows should be shown along the nullclines to show the direction in which the solution point is travelling.

Since the solution point is travelling in the positive x direction, we draw an arrow heading to the right for the x-axis (y = 0). Since the solution point is travelling in the opposite direction of the y-axis, we draw an arrow going downward for the line x = 1 (y = 2).

c) We draw an arrow indicating the direction in which a solution point is travelling while it is in each open zone that is split by the nullclines. Since the solution point is travelling in the positive x direction, we draw an arrow going to the right in the area above the x-axis (y > 0).

We draw an arrow heading downward in the area to the right of the line x = 1 (x > 1) since the solution point is travelling in the opposite direction as y.

Since the solution point is travelling in the opposite direction of the x-axis, we draw an arrow going to the left in the area below the x-axis (y< 0). Lastly, since the solution point is travelling in the positive y direction, we draw an arrow going upward in the area to the left of the line x = 1 (x < 1).

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Answer:

negative i think :/

Step-by-step explanation:

Answer:

\(( \frac{1}{2} \times \frac{1}{3} ) + ( \frac{1}{2} \times \frac{1}{4} ) = \)

\( \frac{1}{2} ( \frac{1}{3} + \frac{1}{4} ) = \frac{1}{2} ( \frac{4}{12} + \frac{3}{12}) = \)

\( \frac{1}{2} \times \frac{7}{12} = \frac{7}{24} \)

Answer:9 times 10 equal 90 $

Step-by-step explanation:

Answer:

Converse

Step-by-step explanation:

Converse

Ghhhhhhhnbb tggy

Answer:

552 miles per hour

Step-by-step explanation:

Speed = distance / time

So, speed = 414 / (3/4)

                 = 552 miles per hour

P.S. I couldn't answer the other questions cuz your photo is unclear

Answer:

552 miles per hour

Step-by-step explanation:

Speed = distance / time

So, speed = 414 / (3/4)

                = 552 miles per hour

The electric field for a nonconducting plate with a charge per unit area of 9 located at z < 0 is zero, for 0 < z < 4.75 cm is \(2.16 \times 10^4 N/C\) directed in the positive z-direction, and for z > 4.75 cm is \(2.16 \times 10^4 N/C\) directed in the negative z-direction.

When z < 0, the plate is located below the second plate, resulting in the cancellation of electric field contributions due to the opposite charges on the plates. Therefore, the electric field is zero in this region.

For 0 < z < 4.75 cm, the electric field can be calculated using the formula E = σ / (2ε₀), where σ is the charge per unit area and ε₀ is the permittivity of free space. Substituting the given values, we find the electric field to be \(2.16 \times 10^4 N/C\) directed in the positive z-direction.

For z > 4.75 cm, the electric field is again given by E = σ / (2ε₀), but this time the charge per unit area is negative. Therefore, the electric field is \(2.16 \times 10^4 N/C\) directed in the negative z-direction.

In summary, the electric field for z < 0 is zero, for 0 < z < 4.75 cm is \(2.16 \times 10^4 N/C\) in the positive z-direction, and for z > 4.75 cm is \(2.16 \times 10^4 N/C\) in the negative z-direction.

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Answer:

was that the full question? i cant seem to understand what your asking

Step-by-step explanation:

The probability of getting at least one question right is 96.875%.

The question states that at least one guess should be right. This ultimately means that all guesses cannot be wrong, which is the only possibility being excluded here.

Probability for wrong guess =12=0.5

Probability for all wrong guesses =0.5*0.5*0.5*0.5*0.5=0.03125 or 3.125%

There is only 3.125% chance of all wrong guesses. Rest of the possibilities are our favorable conditions, i.e. at least one correct guess.

Therefore,

Probability of at least one correct guess=1-0.03125=0.96875 or 96.875%

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Answer:

11.

A) EZ Pay Plan=0.15x

B) 40 to Go Plan=0.05x+40

12.

0.15x=0.05x+40

13.

x=400 minutes

14. The solution is the amount of minutes that it takes for both plans to cost the same amount. X has one solution, so it accounts for both equations.

15. EZ Pay Plan

Step-by-step explanation:

For 11, what you need to know is that the slope (coefficient of x) is the price per minute. 0.15 per minute and 0.05 per minute are charged, and therefore are the slope for those equations. The 40 on B is because it is the y intercept. No matter how long you use the object, you will always pay at least 40 dollars.

For 12, you have to find x for the minutes used.

For 13, if you do the process algebraically,

0.15x=0.05x+40  

0.10x=40     (subtracted 0.05x from both sides)

x=400       (divided 0.10x and 40 by 0.10)

For 14, (no explanation)

For 15, if you substitute 200 as x, you would see that the EZ Pay Plan would make you pay 30 dollars while the 40 To Go Plan would make you pay 10+40 dollars, which 30<50.

(sorry for late response)

$5 for 1 shirt

y = cost

x = number be shirts

10y = 2x

5y = x

To find the real and imaginary parts of a complex number, write it in the form a + bi, where a is the real part and b is the imaginary part.

To find the real and imaginary parts of a complex number, you can use the following steps:1. Write the complex number in the form a + bi, where a is the real part and b is the imaginary part.

2. Identify the coefficient of the imaginary unit, "i." This coefficient is the value of "b" in the complex number.

3. The real part of the complex number is given by "a," and the imaginary part is given by "b."

For example, let's consider the complex number z = 3 + 2i.The real part, denoted as Re(z), is 3, and the imaginary part, denoted as Im(z), is 2.Therefore, Re(z) = 3 and Im(z) = 2.By following these steps, you can easily determine the real and imaginary parts of any complex number.

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The probability that a randomly selected student from the school have a cold after receiving the flu vaccine is 0.27 or 27%.

The school nurse is hoping to limit the cold's spread among the students in her school. To do this, to administer flu vaccines to the students. However, the flu vaccine is only effective in preventing the cold in 75% of cases.

Now, let's calculate the probability that a randomly selected student from the school have a cold after receiving the flu vaccine.

Let:

P(Cold) be the probability of having a cold in the city (given as 64% or 0.64).

P(Not Cold) be the probability of not having a cold in the city (since P(Cold) + P(Not Cold) = 1).

P(Vaccine Effective) be the probability that the flu vaccine is effective (given as 75% or 0.75).

The probability of not having a cold after receiving the flu vaccine is given by:

P(Not Cold | Vaccine) = P(Not Cold) × P(Vaccine Effective)

P(Not Cold | Vaccine) = (1 - P(Cold)) × P(Vaccine Effective)

P(Not Cold | Vaccine) = (1 - 0.64) × 0.75

P(Not Cold | Vaccine) = 0.36 × 0.75

P(Not Cold | Vaccine) = 0.27

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Complete question:

In a large city, 64% of the population under the age of 15 had a cold during the last winter season. A school nurse is hoping to limit the ...

The probability of a z-score being greater than 1.9 is approximately 0.0287. i.e option a) is correct

To calculate the probability that the sample proportion will be greater than 0.276, we can use the sampling distribution of the sample proportion.

In this case, the sample size is 100, and the population proportion is 0.2. The sample proportion follows an approximately normal distribution with a mean equal to the population proportion (0.2) and a standard deviation equal to the square root of (p * (1 - p) / n), where p is the population proportion and n is the sample size.

Let's calculate the standard deviation first:

Standard deviation (σ) = √(p * (1 - p) / n)

= √(0.2 * (1 - 0.2) / 100)

= √(0.16 / 100)

= √0.0016

= 0.04

Now, we can calculate the z-score corresponding to the sample proportion of 0.276:

z = (sample proportion - population proportion) / standard deviation

= (0.276 - 0.2) / 0.04

= 0.076 / 0.04

= 1.9

Using a standard normal distribution table or a calculator, we can find the probability associated with a z-score of 1.9. The probability of a z-score being greater than 1.9 is approximately 0.0287.

Therefore, the answer is (a) 0.0287.

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Answer:

A,B,C

Step-by-step explanation:

When you divide 16 by 12 you  get 1.3 repeating. When you divide A , B , C by their numbers you get 1.3 repeating also. But D and E equal 1.5 so that's how you know those to answers are incorrect:)

glad to help!

The equivalent ratio are 8:6, 32:24 and 4:3

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

Ratio = 16 : 12

Simplifying the ratio

= 16/12

= 4/3

So, first 8:6

= 4: 3

and, second 32:24

= 4:3

and, third = 4:3

and, fourth 12 : 8

= 3:2

Hence, the equivalent ratio are 8:6, 32:24 and 4:3

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Answer:

I would say 15

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

Yes, there is a correlation between the number of hours per week a student works outside of school and how many units the student takes in a quarter.

The cluster sample of 482 students is chosen in order to examine the relationship between these two variables. The statistical relationship between two variables is known as correlation.

The correlation coefficient r is used to determine the degree and direction of the correlation between two variables. The correlation coefficient is a numerical value that ranges from -1 to +1.

A negative correlation exists when one variable decreases as the other variable increases. A positive correlation exists when both variables increase or decrease together.

In this case, if the number of hours per week a student works outside of school increases, the number of units the student takes in a quarter may decrease, indicating a negative correlation between the two variables. Similarly, if the number of hours per week a student works outside of school decreases, the number of units the student takes in a quarter may increase, indicating a positive correlation between the two variables.

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The matrix structure is an organizational design that combines functional and divisional reporting lines within the same company. The three conditions which usually exist when the matrix structure is found are multiple projects, interdependency, and a skilled workforce.

This structure facilitates better coordination and communication, allowing organizations to more effectively manage complex and diverse projects.
There are three conditions that usually exist when the matrix structure is found:
1. Multiple Projects: Matrix structures are often used in organizations that manage multiple projects or products simultaneously. These organizations need to allocate resources and personnel efficiently, and the matrix structure enables them to do so by allowing employees to work on various projects while still maintaining their functional roles.
2. Interdependency: In a matrix structure, there is a high level of interdependency among different departments and project teams. This interdependency promotes collaboration and communication, enabling the organization to respond more quickly to changing market conditions and customer needs.
3. Skilled Workforce: Organizations employing a matrix structure usually require a skilled and diverse workforce. These employees must be able to adapt to new challenges, work in cross-functional teams, and possess strong problem-solving skills. The matrix structure allows organizations to leverage the expertise of their workforce by assigning employees to projects based on their unique skill sets.
In conclusion, the matrix structure is an organizational design that combines functional and divisional reporting lines, enabling organizations to manage complex projects more effectively. This structure is typically found in organizations with multiple projects, a high level of interdependency, and a skilled workforce.

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I assume that the "d2" was a typo as a problem such as this with 2 variables would require a system of equations.

I also assume that the ? is a typo and will replace it with 0, however you can repeat my steps with whatever it actually it.

I assume that the correct form is 2 + 3a + 6 + a = 0

2 + 3a + 6 + a = 0

Combine like terms

8 + 3a + a = 0

8 + 4a = 0

move 8 to other side

4a = -8

a= -8/4

a = -2*

plug this value of a into the original equation

2 + 3(-2) + 6 + (-2) = 0

The statement is true!

* This probably isn't your answer!  Repeat my steps with whatever the value of "?" is.

Answer:

The volume of the wood used is \(1,116\ cm^3\)

Step-by-step explanation:

The Volume of a Rectangular Cuboid

In a rectangular cuboid, all angles are right, and the opposite faces are equal.

The volume of a cuboid of dimensions a,b,c is:

V=a.b.c

The rectangular box is made of wood with externals dimensions of 25 cm by 20 cm by 15 cm.

The external volume of the box is:

\(V_e=(25)*(20)*(15)=7,500\ cm^3\)

The walls of the box are 0.5 thick each, this means that the internal dimensions are 1 cm less than the external dimensions, including the lid.

Thus the internal volume is:

\(V_i=(24)*(19)*(14)=6,384\ cm^3\)

The volume of the wood used is the difference between the external and the internal volumes:

\(V_w=7,500\ cm^3-6,384\ cm^3=1,116\ cm^3\)

The volume of the wood used is \(\mathbf{1,116\ cm^3}\)

Answer:

3 9/10

Step-by-step explanation:

2 3/5=  2 6/10

17/10= 1 3/10

6/10+3/10=9/10+2+1=3 910