I NEED HELPP WITH THIS QUESTION!!

The flow rate of 5 MGD is equivalent to 7.73615 cfs

To convert million gallons per day (MGD) to cubic feet per second (cfs), we need to use the conversion factor between the two units. The conversion factor is 1 MGD = 1.54723 cfs.

Therefore, to convert MGD to cfs, we can multiply the given value of MGD by the conversion factor. For example, if we have a flow rate of 5 MGD, we can convert it to cfs as follows:

5 MGD x 1.54723 cfs/MGD = 7.73615 cfs

So, the flow rate of 5 MGD is equivalent to 7.73615 cfs. Similarly, we can convert any given flow rate in MGD to cfs by using the same conversion factor.

It is important to note that these units are commonly used in the context of water supply and distribution systems, where flow rates are a crucial factor in the design and operation of such systems. Therefore, knowing how to convert between different flow rate units is essential for engineers and technicians working in this field.

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Answer:

49.87%

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 70%

σ is the population standard deviation = 8%

a) For x = 70%

z = 70% - 70%/8%

z = 0

Probability value from Z-Table:

P(x = 70) = 0.5

b) For x = 70%

z = 94% - 70%/8%

z = 3

Probability value from Z-Table:

P(x = 94) = 0.99865

The probability of students that receive between a 70% and 94%

P(x = 94) - P(x = 70)

0.99865 - 0.5

0.49865

Therefore, the percentage of students that receive between a 70% and 94% is

0.49865 × 100

= 49.865%

Approximately = 49.87%

Answer:

28 is the answer that i got sorry if it is wrong

The questions are illustrations of combination and probability

The given parameters are:

Monitors = 4

Keyboard = 2

CPU = 4

Printer = 3

The number of systems to choose from is:

n = 4 * 2 * 4 * 3 = 96

Hence, Patrick can choose from 96 systems

The given parameters are:

Containers = 2

Flavors = 4

The number of total combination to choose from is:

n = 2 * 4C3 = 8

Hence, the number of total combination is 8

The given parameters are:

Blouse = 5

Skirt = 3

Shoes = 4 pairc

The number of ways to dress up:

n = 5 * 3 * 4 = 60

Hence, Emma can dress up in 60 ways

The given parameters are:

Students = 6

Members of committee = 3

The number of ways to form a committee is:

n = 6C3 = 20

Hence, there are 20 ways to form the committee

We have:

Letters = 11

Consonnats = 7

The probability of selecting a consonant is:

P = 7/11

P = 0.636

Hence, the probability of selecting a consonant is: 0.636

We have:

Total students = 34

Students not in grade 8 = 25

The probability that a student is not in grade 8 is:

P = 25/34

P = 0.735

Hence, the probability that a student is not in grade 8 is 0.735

Not enough details to solve

There are 9 prime numbers in a total number of 31 numbers from 4 to 34.

So, the probability that a number is prime is:

P = 9/31

P = 0.290

Hence, the probability that a number is prime is 0.290

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The solution to the equation 2 csc x = 3 csc θ − csc θ sin θ in the range 0 ≤ θ < 2π is:

θ = 7π/6

We can start by manipulating the given equation to express cscθ in terms of cscx:

2 csc x = 3 csc θ − csc θ sin θ

2/cscθ = 3 - sinθ

cscθ/2 = 1/(3 - sinθ)

cscθ = 2/(3 - sinθ)

Now we can use the identity sin²θ + cos²θ = 1 and substitute for cscθ in terms of sinθ:

1/cosθ = 2/(3 - sinθ)

cosθ = (3 - sinθ)/2

Next, we can use the identity sin²θ + cos²θ = 1 to solve for sinθ:

sin²θ + cos²θ = 1

sin²θ + [(3 - sinθ)/2]² = 1

Multiplying both sides by 4, we get:

4sin²θ + (3 - sinθ)² = 4

Expanding and simplifying, we get:

8sin²θ - 6sinθ - 8 = 0

Dividing both sides by 2, we get:

4sin²θ - 3sinθ - 4 = 0

Using the quadratic formula with a = 4, b = -3, and c = -4, we get:

sinθ = [3 ± √(3² - 4(4)(-4))]/(2(4))

sinθ = [3 ± √49]/8

sinθ = (3 ± 7)/8

Since 0 ≤ θ < 2π, we only need to consider the solution sinθ = (3 - 7)/8

= -1/2 corresponds to an angle of 7π/6 in the third quadrant.

To find cosθ, we can use the identity sin²θ + cos²θ = 1:

cosθ = ±√(1 - sin²θ)

Since we are in the third quadrant, we want the value of cosθ to be negative, so we take the negative square root:

cosθ = -√(1 - (-1/2)²)

cosθ = -√(3/4)

cosθ = -√3/2

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Answer:

The expression x⁴ + 8x³ + 34x² + 72x + 81 cannot be factored further using simple integer coefficients. It does not have any rational roots or easy factorizations. Therefore, it remains as an irreducible polynomial.

The prime factorization of the radicand 2 is 9√15.

A number can be expressed as the product of its prime components through the process of prime factorization. A number with precisely two elements, 1 and the number itself, is said to be a prime number.

As an illustration, let's use the number 30. We know that 30 = 5 × 6, but 6 is not a prime number. The number 6 can further be factorized as 2 × 3, where 2 and 3 are prime numbers. Therefore, the prime factorization of 30 = 2 × 3 × 5, where all the factors are prime numbers.

Given that,

x= 3√135

Solving the equation further using the rule √A*B = √A*√B

x= 3√9*15

x= 3√9*√15

x=3*3*√15

x= 9√15

Therefore, the prime factorization of the radicand 2 is 9√15.

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The cost of goods completed and transferred out, given 16,000 units completed and 1,600 units in ending inventory, is $104,000. This is calculated by multiplying the number of completed units by the weighted-average cost per equivalent unit for direct materials and conversion.

In this scenario, 16,000 units are completed and 1,600 units are in ending inventory. The weighted-average cost per equivalent unit for direct materials is $3.00, and for conversion, it is $3.50.

To calculate the cost of goods completed and transferred out, we can use the following formula:

Cost of goods completed and transferred out = (Number of completed units * Weighted-average cost per equivalent unit for direct materials) + (Number of completed units * Weighted-average cost per equivalent unit for conversion)

Substituting the given values:

Cost of goods completed and transferred out = (16,000 * $3.00) + (16,000 * $3.50)

                                            = $48,000 + $56,000

                                            = $104,000

Therefore, the cost of goods completed and transferred out is $104,000.

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Step-by-step explanation:

the area of a triangle is baseline×height/2

in case of such a right-angled triangle we can use the sides that enclose the 90 degree angle as baseline and height.

so,

B = 8×6/2 = 8×3 = 24 yd²

the height h is 8 yd (as the picture clearly shows).

the perimeter of the base is the sum of all three sides

P = 8 + 6 + 10 = 24 yd

The probability of landing on yellow is less than the probability of landing on blue

Probability is the likelihood of a desired event happening.

Since there are one orange, two purple, two yellow, and three blue and the spinner divided into eight equal colored sections.

Thus, we can write the probabilities as follow:

probability of orange = 1/8

probability of purple = 2/8 = 1/4

probability of yellow = 2/8 = 1/4

probability of blue = 3/8

Therefore, the probability of landing on yellow is less than the probability of landing on blue is the true statement

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The researchers' hypothesis is that there will be a negative relationship between conscientiousness and absenteeism at work.

To test the researchers' hypothesis, we can use a correlation analysis to determine if there is a significant relationship between conscientiousness and absenteeism at work. We can calculate the correlation coefficient (r) using the formula:

r = (nΣxy - ΣxΣy) / sqrt[(nΣx^2 - (Σx)^2)(nΣy^2 - (Σy)^2)]

Using the data provided, we can calculate r to be -0.828, indicating a strong negative correlation between conscientiousness and absenteeism. To determine if this correlation is significant, we can use a t-test with a significance level (alpha) of 0.05. The t-value is calculated using the formula:

t = r * sqrt(n-2) / sqrt(1-r^2)

Using the data provided, we can calculate t to be -3.077. With a degree of freedom (df) of 2, the critical t-value is +/- 2.92. Since our calculated t-value (-3.077) falls outside of this range, we can reject the null hypothesis and conclude that there is a significant negative relationship between conscientiousness and absenteeism at work.

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Answer: C

Step-by-step explanation:

See attached image.

Hope it helps you! ........

Answer: (A). The sum of cans his a rational number

Step-by-step explanation: natural smart

Random means in this context is that in the long​ run, a fair die will produce roughly equal amounts of the numbers 1 through 6 when rolled. But for each roll each value 1 through 6 is equally likely.

What is conditional probability?

Conditional probability is a term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.

Given, Rolling a fair​ six-sided die is supposed to randomly generate the numbers 1 through 6.

In a fair dice the chance of getting each number is same

Random means here is that in the long​ run, a fair die will produce roughly equal amounts of the numbers 1 through 6 when rolled. But for each roll each value 1 through 6 is equally likely.

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Answer: 6 fertilizer

Step-by-step explanation:

Take 120 divided by 4 = 30 soil per fertilizer

We know that 30 times 6 = 180

So we take 1 time 6 =  6 Fertilizer

Answer:

Step-by-step explanation:

you can solve with a simple proportion

4 : 120 = x : 180

x = 4 x 180 : 120

x = 6

lets do this step by step.

First: we need to break this into to prisms.

Next lets say the dimensions:

4 x 2 x 1 and 2 x 2 x 1

now we multiply them and then add them

8 + 4 = 12

volume = 12 cubic units.

Answer:

$16.03

Step-by-step explanation:

Two twenty dollars bills is forty dollars, so to find his change, subtract $23.97 from $40. This gives you $16.03.

The change should he receive if he gave the cashier two $20 bills is $16.03.

We have given that,

Satish bought a bicycle wheel for $23.97.

We have to determine the value of How much change should he receive if he gave the cashier two $20 bills.

Change is the money returned after paying for something with more money than it costs

Two twenty dollars bills is forty dollars, so to find his change, subtract $23.97 from $40.

This gives you $16.03.

Two twenty dollars bills is forty dollars,

so to find his change, subtract $23.97 from $40. This gives you $16.03.

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The value of 50°C in °F is,

⇒ 122° F

A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

Given that;

To Convert 50°C to °F.

Now, We get;

⇒ (50 × 9/5) + 32

⇒ 90 + 32

⇒ 122° F

Thus, The value of 50°C in °F is,

⇒ 122° F

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Answer:

1st and 2nd to last

Step-by-step explanation:

Answer:

x< -3 is correct answer...........

Answer:

B and C

Step-by-step explanation:

Just did it on edg

Answer:

Which of these statements are true for joint variations? Check all that apply.

A.There are at least two constants of proportionality.

B.The dependent variable is related to the product of the independent variables by a constant of proportionality, k.

C.The equation must have at least two independent variables.

D.The constant of proportionality is 1.

B. The dependent variable is related to the product of the independent variables by a constant of proportionality, k.

C. The equation must have at least two independent variables.

These are the correct answers

The element that orients readers by previewing the structure of the report is "Organization."

Organizing a report effectively helps readers understand the flow of information and the logical structure of the content. By providing an overview of the organization, readers can anticipate the main sections, their sequence, and the connections between them.

The organization element typically includes headings, subheadings, and a clear hierarchy of information. It outlines the main sections and subsections of the report, indicating how they are related and how they contribute to the overall message or argument.

In addition to the organization element, the other options listed—Definitions of key terms and Sources and methods—also play important roles in a report. Definitions of key terms clarify terminology and provide a common understanding, while Sources and methods explain the sources of information and the methods used in the report's research or analysis. However, in the context of previewing the structure, the Organization element specifically serves this purpose.

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Answer:

I think No

Step-by-step explanation:

The mean of the given discrete probability distribution is 11.34.

To find the mean of a discrete probability distribution, you need to multiply each value by its corresponding probability and then sum them up.

Let's calculate the mean using the given probability distribution:

Mean = (0.2 * 5) + (0.1 * 21) + (0.4 * 5.6) + (0.3 * 20)

Mean = 1 + 2.1 + 2.24 + 6

Mean = 11.34

Therefore, the mean of the given discrete probability distribution is 11.34.

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Answer:

C

Step-by-step explanation:

As properties are preserved

In this scenario, the researcher is interested in comparing the effectiveness of three different doses of a new medication in treating panic attacks. To analyze the data, the researcher can use a hypothesis testing technique called analysis of variance (ANOVA).

ANOVA is a statistical technique used to compare the means of three or more groups to determine if there are significant differences between them. In this case, the means being compared are the number of panic attacks experienced by each group after 30 days on the medication.

The null hypothesis in this study would be that there is no significant difference in the mean number of panic attacks between the three dosage groups, and the alternative hypothesis would be that there is a significant difference in the mean number of panic attacks between at least two of the dosage groups.

The researcher can use a one-way ANOVA test to analyze the data, which will calculate the F-statistic and associated p-value. If the p-value is less than the chosen significance level (usually 0.05), the researcher can reject the null hypothesis and conclude that there is a significant difference in the mean number of panic attacks between at least two of the dosage groups.

If a significant difference is found, post-hoc tests such as Tukey's HSD can be used to determine which specific groups have significantly different means.

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On solving the exponential function y = 49 (0.81)⁹, the number of Bison left after 9 years is obtained as 7.35 million.

What is an exponential function?

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

The number of Bison that roamed were a = 49 million

The survival rate dropped to b = 0.81.

The time period is t = 9 years

The exponential function is -

y = abˣ

Substitute the values into the equation -

y = 49 (0.81)⁹

y = 49 × 0.1500

y = 7.35

Therefore, the number of Bison left is 7.35 million.

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