A random sample of 900 registered voters were asked about their own political ideology (progressive/moderate/conservative) and whether they felt that the country was heading in the right direction or if it was on the wrong track. Here are the results. Opinion Progressive Moderate Conservative Right Direction 120 210 115 Wrong Track 80 190 185 At the 0.05 level of significance, test the claim that political ideology and response about the direction the country is heading are independent.

160 i believe. to find the area of a triangle act like its a square and divide in half. for squares multiply base by height.

take the area of each shape and add it up

Point L is the midpoint

The midpoint is halfway between the two points. In this case, Point F and Point B are 10 units away from each other. The midpoint is the distance between the points (10) divided by 2.

Answer:

The cube of twice a number.

Twice a quantity usually indicates to take two of the things in question; usually this indicates to multiply by 2. Thus "twice a number x" can be written symbolically as 2x. If this is part of a problem, say twice a number x is 6, then we can rewrite algebraically as 2x=6; dividing both sides by 2 yields x=3.

Step-by-step explanation:

have a nice day, please give me brainliest

1) As one property of the rational exponents is to be rewritten as a radical, we can write this:

The BOD of the effluent in the two-stage plant is approximately 229.738 mg/L.

To determine the BOD of the effluent in the two-stage plant, we need to consider the concept of dilution and removal efficiency.

Given:

- Flow rate: 3.79 MLD (Million Liters per Day)

- BOD of influent: 240 mg/L

In a two-stage plant, each filter contains half of the total filter medium, which remains the same as in the single-stage plant (0.082 ha-m). The recirculation ratio is 1 for each filter.

Let's calculate the dilution factor and removal efficiency for each stage:

Dilution factor (DF) = Total Volume / Flow rate

DF = 0.082 ha-m / (3.79 MLD * 1000)  [converting MLD to L/day]

DF ≈ 0.0216

Removal efficiency (RE) = 1 - DF

RE = 1 - 0.0216

RE ≈ 0.9784

Now, let's calculate the BOD of the effluent for each stage:

BOD of effluent (Stage 1) = BOD of influent * RE (for first stage)

BOD of effluent (Stage 1) = 240 mg/L * 0.9784

BOD of effluent (Stage 1) ≈ 234.816 mg/L

BOD of effluent (Stage 2) = BOD of effluent (Stage 1) * RE (for second stage)

BOD of effluent (Stage 2) = 234.816 mg/L * 0.9784

BOD of effluent (Stage 2) ≈ 229.738 mg/L

Therefore, the BOD of the effluent in the two-stage plant is approximately 229.738 mg/L.

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Answer:

The answer is 4

Answer:

True

Step-by-step explanation:

Every integer is a rational number, since each integer n can be written in the form n/1.

Answer:  sir your answer is TRUE

Step-by-step explanation:all integers are a rational number. They can be written as a fraction

The maximum money supply with a 5% reserve requirement and a $400 initial deposit is $8,000.

To calculate the maximum total amount of money that will be in the money supply, we need to consider the money multiplier effect based on the reserve requirement.

The money multiplier is given by the formula: MM = 1 / reserve requirement.

Given that the reserve requirement is 5% (rr = 0.05), the money multiplier is MM = 1 / 0.05 = 20.

The initial deposit is $400.

To calculate the maximum total amount of money in the money supply, we multiply the initial deposit by the money multiplier:

Maximum Money Supply = Initial Deposit * Money Multiplier

= $400 * 20

= $8,000.

Therefore, the maximum total amount of money that will be in the money supply is $8,000 when the reserve requirement is 5% and all currency is deposited in banks with no excess reserves.

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Answer:

9.405

Step-by-step explanation:

Answer:

≈ 3.9 miles

Step-by-step explanation:

The third angle in the triangle is

180° - (53 + 78)° = 180° - 131° = 49°

Using the Sine rule in the triangle with distance from 2 being x, then

\(\frac{3}{sin49}\) = \(\frac{x}{sin78}\) ( cross- multiply )

x × sin49° = 3 × sin78° ( divide both sides by sin49° )

x = \(\frac{3sin78}{sin49}\) ≈ 3.9 ( to the nearest tenth )

Answer:

So they just want you to solve the equation if x= -4

d(-4) = -(-4) + -4

y = 4 - 4

The solution would be 0.

Answer: Congruence essentially means that two figures or objects are of the same shape and size. ... Similarity means that two figures or objects are of the same shape, though usually not of the same size. Two circles will always be similar, for example, because by definition they have the same shape.

Hope this helps :)

Tell me if it’s wrong :0

Answer: 960cm^2

Step-by-step explanation: 12 x 8 = 96 x 10 = 960

Answer:

a) 1728 \(cm^{3}\)

b) 512 \(cm^{3}\)

c) 1000 \(cm^{3}\)

Step-by-step explanation:

(I think your question is ...a little mixed up as a square has same length for all of its respective sides. So I will attempt to do them a little differently as I believe the question must have had three different sub questions)

a) \(V = s^{3}\)

   "s" here represents the respective length for the sides.

The answer for if a side was 12 centimeters, then the volume would be

\(V = 12^{3}\)

Which would give us a volume of 1728 \(cm^{3}\)

b)\(V = s^{3}\)

   "s" here represents the respective length for the sides.

The answer for if a side was 8 centimeters, then the volume would be

\(V = 8^{3}\)

Which would give us a volume of 512 \(cm^{3}\)

c)\(V = s^{3}\)

   "s" here represents the respective length for the sides.

The answer for if a side was 10 centimeters, then the volume would be

\(V = 10^{3}\)

Which would give us a volume of 1000 \(cm^{3}\)

When a distribution is skewed, the median is used to measure the center and the interquartile range  is used to measure variation.

The fundamental characteristics of mean for skewed data distribution:

Therefore, a skewed data set's center cannot be found using the mean.

In a skewed data collection, the median always stays quite near to the center. The best way to measure the center is hence to use the median.

Additionally, the mean and median of a normal distribution are equal, and both are used to locate the middle of the data set.

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The given expression is a polynomial. It is a trinomial with terms consisting of various variables raised to different powers.

The given expression consists of multiple terms combined by addition and subtraction. To determine if it is a polynomial, we need to check if all the terms have variables raised to whole number powers and if the coefficients are constants.

1. Term 1: 6x(3)/(x) is a monomial since it consists of a single term with x raised to a power.

2. Term 2: -x^(2)y is a binomial since it consists of two variables, x and y, raised to different powers.

3. Term 3: -5a^(2)+3a is a binomial with two terms involving the variable a.

4. Term 4: 11a^(2)b^(3)/(3)/(x) is a monomial with variables a and b raised to different powers.

5. Term 5: (10)/(3a^(2)) is a monomial with a variable raised to a negative power.

6. Term 6: 2a^(2)x-7a is a binomial with two terms involving the variables a and x.

7. Term 7: 5x^(2)y-8xy is a binomial with two terms involving the variables x and y.

8. Term 8: y^(2)-(y) is a binomial with two terms involving the variable y.

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In the given problem, we are provided with the joint probability density function (pdf) of discrete random variables X and Y. We need to find the constant c, the marginal pdfs of X and Y, and determine whether X and Y are independent.

(a) To find the constant c, we need to ensure that the joint pdf satisfies the properties of a probability distribution. Since the sum of all possible probabilities must equal 1, we can sum the joint pdf over all possible values of X and Y and set it equal to 1. By evaluating the summation, we can determine the value of c.

(b) To find the marginal pdfs of X and Y, we need to calculate the probabilities of each individual variable without considering the other variable. The marginal pdf of X can be found by summing the joint pdf over all possible values of Y, and similarly, the marginal pdf of Y can be found by summing the joint pdf over all possible values of X.
(c) To determine whether X and Y are independent, we need to check if the joint pdf can be expressed as the product of the marginal pdfs. If the joint pdf can be factorized in this way, then X and Y are independent. Otherwise, they are dependent.

By performing the necessary calculations and analysis, we can find the constant c, the marginal pdfs of X and Y, and determine the independence of X and Y based on the properties of the joint pdf.

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To find the antiderivative R(x), we integrate the given function R'(x) with respect to x:

∫ R'(x) dx = ∫ (6 - 0.4x) dx

R(x) = 6x - 0.4x^2/2 + C

where C is the constant of integration.

To find the value of C, we use the initial condition R(0) = 7:

R(0) = 6(0) - 0.4(0)^2/2 + C = 0 + 0 + C = 7

Therefore, C = 7 and the particular antiderivative that satisfies the given conditions is:

R(x) = 6x - 0.2x^2 + 7

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The probability that the defective spare part is from company A2 is approximately 0.024. The probability that the student is not taking math or history is 0.55.

(a) To compute the probability that the defective spare part is from company A2, we can use Bayes' theorem. Let D represent the event that the spare part is defective, and A1 and A2 represent the events that the spare part is from company A1 and A2, respectively.

We want to find P(A2|D), which is the probability that the spare part is from company A2 given that it is defective.

By applying Bayes' theorem, we have P(A2|D) = (P(D|A2) * P(A2)) / P(D).

We have that P(D|A2) = 0.01, P(A2) = 0.3, and P(D) = P(D|A1) * P(A1) + P(D|A2) * P(A2) = 0.03 * 0.7 + 0.01 * 0.3, we can calculate P(A2|D) = (0.01 * 0.3) / (0.03 * 0.7 + 0.01 * 0.3) ≈ 0.024.

(b) The probability that the student is taking math or history can be found by adding the probabilities of taking math and history and then subtracting the probability of taking both.

Let M represent the event of taking math and H represent the event of taking history. We want to find P(M or H), which is equal to P(M) + P(H) - P(M and H). Given that P(M) = 0.2, P(H) = 0.3, and P(M and H) = 0.05, we can calculate P(M or H) = 0.2 + 0.3 - 0.05 = 0.45.

(c) The probability that the student is not taking math or history can be found by subtracting the probability of taking math or history from 1. Let N represent the event of not taking math or history.

We want to find P(N), which is equal to 1 - P(M or H). Given that P(M or H) = 0.45, we can calculate P(N) = 1 - 0.45 = 0.55.

Therefore, the answers are:

(a) 0.024

(b) 0.45

(c) 0.55

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To ensure the best test results, Anita should be provided with the following information before her spirometry:

1. Instructions for taking the test: Anita should be thoroughly explained about how the spirometry test works and what steps she needs to follow. This includes taking a deep breath and blowing as hard as she can into the spirometer mouthpiece. It is important to emphasize that she needs to repeat this procedure a few times and take deep breaths between each exhale.

2. Emphasize the importance of taking medication as prescribed: Anita should be reminded of the importance of taking her medications as prescribed, including on the day of the test. It is crucial for her to bring her medications to the test appointment.

3. Avoid certain foods and drinks: Anita should be informed to avoid consuming certain substances before the spirometry test, such as caffeine, alcohol, and heavy meals. These can potentially affect the accuracy of the test results.

4. Arrive early for the test: Anita should be advised to arrive early for the test to allow herself sufficient time to relax and calm down before the procedure. This can help ensure more accurate results.

The rationale behind providing these instructions and information is that spirometry is a lung function test that measures the amount and speed of air being breathed in and out. By following the instructions and guidelines, Anita can achieve optimal results, aiding in the diagnosis and assessment of lung conditions.

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At x = 3, we don't have enough information to find f(3^2) or f'(3^2), so we cannot evaluate the expression for dy/dx at x = 3.

We can use the chain rule to find the derivative of y = sin(f(x^2)) with respect to x:

dy/dx = cos(f(x^2)) * d/dx[f(x^2)]

To find d/dx[f(x^2)], we can use the chain rule again:

d/dx[f(x^2)] = f'(x^2) * d/dx[x^2] = 2xf'(x^2)

So, putting it all together:

dy/dx = cos(f(x^2)) * 2xf'(x^2)

At x = 3, we don't have enough information to find f(3^2) or f'(3^2), so we cannot evaluate the expression for dy/dx at x = 3.

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Answer:

y > -x + 3

Step-by-step explanation:

find the slope and y-intercept so you can create a linear equation:

y = mx + b ;   m = slope and  b = y-intercept

slope (m) = (3-0) / (0-3)

m = 3/-3 or -1

we can see the y-intercept by looking at the graph, it is 3

y > -x + 3

Answer:

3x - 24 = 81

3x = 81 + 24

3x = 105

x = 105 / 3

x = 35

Step-by-step explanation:

Answer:

44.444 %

Step-by-step explanation:

4/9 is 44.444%

4 reds out of 19

round where it says to round

Answer:

y=.5x+2.5 OR \(y=\frac{1}{2}x +\frac{5}{2}\) (both are right)

Step-by-step explanation:

Distribute the 1/2

y-3=.5x-.5

add 3

y=.5x+2.5 OR \(y=\frac{1}{2}x +\frac{5}{2}\) if you're into fractions

_____________________

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\(\huge\blue{\mid{\fbox{\tt{Explanation}}\mid}}\)

Percentage - Percentages are essentially fractions where the denominator is 100. To show that a number is a percent, we use the percent symbol (%) beside the number.

Cross Multiplication - In mathematics, specifically in elementary arithmetic and elementary algebra, given an equation between two fractions or rational expressions, one can cross-multiply to simplify the equation or determine the value of a variable.

Division - Division, otherwise known as the inverse of multiplication separates a certain number into what it has been divided by.

Addition - Addition is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division. The addition of two whole numbers results in the total amount or sum of those values combined.

_____________________

Rick borrowed $50 from his sister for three months (1/4 year). she charged him 14% interest. How much does Rick have to pay her sister?

First, we set up our equation ⇒ \(\frac{14}{100}=\frac{x}{50}\)

Second, we do Cross Multiplication ⇒ \(100x=700\)

Third, we divide both sides by \(100\) ⇒ \(x=7\)

Fourth, we add the \(7\) dollars to the original \(50\) ⇒\(50+7=57\)

_____________________

Answer:

3 gallons per minute

Step-by-step explanation:

So the problem is \(\frac{\frac{1}{5} gallons }{\frac{1}{15} minute} \)

To make the 1/15 of a minute to one minute we have to multiply 1/15 by 15

\(\frac{1}{15} (15)\) = 1

What we do to the bottom applies to the top.

\(\frac{1}{5} (15)\) = 3

So it will be \(\frac{3gallons}{1minute} \).

Or 3 gallons per minute.

Hope this helps :)

Answer:

G. 60m

H. 7.5cm

Step-by-step explanation:

0.8 = \(\frac{8}{10}\)

Perimeter of figure = (12 + 10 + 16 + 10) × \(\frac{10}{8}\)

                                = 48 × \(\frac{10}{8}\)

                                = 60m

1.5 feet --- 0.75cm

15 feet --- \(\frac{15}{1.5}\) × 0.75cm = 7.5cm

Answer:

Step-by-step explanation:

BC= 9.6

CD=8

BA=8

AD= 12.8

New perimeter is 38.4

And the statue is 7.5 cm tall

Given the above prompt on hypothesis testing, we can state that specifically, cars with manual transmissions have a significantly higher average city mileage than those with automatic transmissions.

To determine if there is strong evidence of a difference between the average fuel efficiency of cars with manual and automatic transmissions in terms of their average city mileage, we can conduct a two-sample t-test assuming unequal variances. The null hypothesis is that there is no difference in the average city mileage between the two types of transmissions, and the alternative hypothesis is that there is a difference.

The t-test statistic is calculated as follows:

t = (x1 - x2) / sqrt((s1^2/n1) + (s2^2/n2))

where x1 and x2 are the sample means, s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes.

Plugging in the values from the given statistics, we get:

t = (16.12 - 19.85) / sqrt((3.85^2/26) + (4.51^2/26))

t = -3.31

Using a significance level of 0.05 and 50 degrees of freedom (approximated by n1+n2-2), the critical t-value is ±2.01.

Since the calculated t-value (-3.31) is less than the critical t-value, we can reject the null hypothesis and conclude that there is strong evidence of a difference between the average fuel efficiency of cars with manual and automatic transmissions in terms of their average city mileage.

Specifically, cars with manual transmissions have a significantly higher average city mileage than those with automatic transmissions.

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Full Question:

Although part of your question is missing, you might be referring to this full question: See attached image.