Evaluate the expression:
3(a + b - 3) - 2(2a + b - 4) when a = -1 and b = 1

Answer:

224

Step-by-step explanation:

multiply 224 by 1 and you get your answer

Answer:

Its AD||CD

Step-by-step explanation:

Answer:

56.25 π cm^2

Step-by-step explanation:

The circumference of a circle is given by C = 2 π r

15 π = 2 π r

Divide each side by π

15 = 2r

Divide by 2

15/2 = 2r/2

7.5 = r

We want to find tha area

A = π r^2

A = π (7.5)^2

A = π 56.25

A = 56.25 π

In scientific practice, we often use statistical inference to make conclusions about a population based on a sample. The use of confidence intervals is one method of making these inferences. A single 95% confidence interval can be interpreted as follows: we are 95% confident that our interval is one that contains the true population parameter.

This means that if we were to repeat the study many times, we would expect the true population parameter to be within our interval 95% of the time.
It is important to note that this interpretation assumes that the sample was selected randomly and that the assumptions for the statistical test used to construct the interval were met. Additionally, it is important to recognize that the interval is not a guarantee of the true population parameter being within it, but rather a range of values that is likely to contain the true parameter.

Overall, a single 95% confidence interval is a useful tool for making inferences about a population based on a sample, and it provides a range of values that we can be reasonably confident contains the true parameter.

To learn more about statistical interference : brainly.com/question/30214666

#SPJ11

Answer:

12,900

Step-by-step explanation:

12.9 x 1000 = 12,900

Answer:

12,900. That is because you must multiply the amount to find the converted value, in this case, 12,900.

The minimum wage set by the government at $7.50 per hour does not result in a pay cut for unskilled workers, as it is below the equilibrium wage of $8.00 per hour.

The wage rate remains unchanged, and the labor market remains in balance.

The statement is false.

False.

The equilibrium wage in the market for unskilled labor is $8.00 per hour, which means that the market naturally sets the wage rate at this level, based on the forces of supply and demand.

The government then sets a minimum wage at $7.50 per hour.

Since the minimum wage is below the equilibrium wage, it does not directly impact the wage rate for unskilled workers.
The equilibrium wage represents the point at which the supply of labor (the number of workers willing to work at a given wage) equals the demand for labor (the number of workers that employers are willing to hire at a given wage).

In this case, both workers and employers are satisfied with the $8.00 per hour wage, and the labor market is balanced.
The government sets a minimum wage below the equilibrium wage, it essentially sets a wage floor that is not binding. Employers are still willing to pay the equilibrium wage of $8.00 per hour, and workers are still willing to accept this wage.

The wage for unskilled workers remains at $8.00 per hour, and there is no pay cut of 50 cents per hour.

For similar questions on Wages

https://brainly.com/question/29251394

#SPJ11

Answer:

1,000,000

Step-by-step explanation:

Answer:

-4 \(\leq\) x \(\leq\) 3

Step-by-step explanation:

The filled in dots mean that those numbers are included

Answer:

−10−1(−2)^3−1(−2)(−11)

● −10−1(−8)−1(−2)(−11)

●−10+8−1(−2)(−11)

●−10+8−22

●−10+8−22

☆Answer:-24

○●○●○●○●○●○

Hope it helps

Have a great day!!

Answer:

Step-by-step explanation:

Before removing brackets, multiply everything inside them by two.

2*1/5 m - 2 * 2/5 + 3/5

2/5 m - 4/5 + 3/5

2/5 m - 1/5

That's as much as you can do. No further reduction is possible.

Answer:

\(\frac{2m-1}{5}\)

Step-by-step explanation:

\(2(\frac{1}{5} m-\frac{2}{5} )+\frac{3}{5}\)

First, simplify \(\frac{1}{5} m\) to \(\frac{m}{5}\):

\(2(\frac{m}{5} -\frac{2}{5} )+\frac{3}{5}\)

Merge the denominators:

\(2(\frac{m-2}{5} )+\frac{3}{5}\)

Simplify:

\(\frac{2m-4}{5} +\frac{3}{5}\)

Merge the denominators again:

\(\frac{2m-4+3}{5}\)

Simplify one final time:

\(\frac{2m-1}{5}\)

Please mark brainliest if this helps you, and I can provide more information if needed.

Answer:

43

Step-by-step explanation:

it looks the same as the other side

The required angle b is 43°.

It is required to find the  measure of angle b.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.

Given:

The measure of angle b is 43° due to vertically opposite angle.

Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines. Vertically opposite angles are equal to each other. These are sometimes called vertical angles.

Therefore, the required angle b is 43°.

Learn more details about angle here:

https://brainly.com/question/13954458

#SPJ2

The statement which is true about the two equilateral triangles is b)The two triangles are the same shape but not the same size. So, correct option is b.

In calculation, a symmetrical triangle is a triangle where every one of the three sides have a similar length. In the natural Euclidean calculation, a symmetrical triangle is likewise equiangular; that is, every one of the three inward points are additionally compatible to one another and are each 60°. It is likewise an ordinary polygon, so it is additionally alluded to as a normal triangle.

Some of hypotheses which are made sense of utilizing symmetrical triangle:

The side length of the primary symmetrical triangle is 3 inches.The side-length of the second symmetrical triangle is 4 inches.Since both the triangles are symmetrical triangles, in this way they have same shape.

Be that as it may, the two triangles have different side lengths in this way they have different size.

Hence, option b is correct.

To know more about equilateral triangle, visit here:

https://brainly.com/question/3461022

#SPJ4

(Complete question) is:

on a piece of paper, use a protractor and a ruler to construct two equilateral triangles: one with a side length of 3 inches and one with a side length of 4 inches. which statement is true about the two triangles?

a. The two triangles are the same size but not the same shape.

b. The two triangles are the same shape but not the same size.

c. The two triangles are the same size and same shape.

d. It is impossible to construct equilateral triangles with these side lengths.

Answer:

$8030

Step-by-step explanation:

Answer:

Step-by-step explanation:

tuition for one year = 9,890

tuition for 2 years = 9,890 x 2 = 19,780

her savings:

8,350 + 3,400 = 11,750

what she needs?:

19,780

-11,750

= 8,030

so she needs 8,030

Answer:

I fairly sure the answer is 12 days

It would 12 days to take to produce 4,512 phones.

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

We have been given that machine that makes cellphones can produce 47 cellphones per hour when running. The machine can only run for 8 hours per day.

We have to determine the number of days will it take to produce 4,512 phones.

Here machine produces (47×8) i.e 376 cellphones per day

Let x days would it take to produce 4,512 phones.

We can write this as a ratio as:

376 phones : 1 day = 4,512 phones : x days

⇒ 376/1= 4,512 /x    

⇒ (376)(x) = 4,512

Divide each side by 376

⇒ x = 4,512/376

⇒ x = 12

Therefore, it would 12 days to take to produce 4,512 phones.

Learn more about the Ratio here:

brainly.com/question/1504221

#SPJ2

A positive relationship between Math and Verbal scores on the SAT implies that as one score increases, the other score also tends to increase.

A positive relationship between Math and Verbal scores on the SAT means that there is a tendency for higher scores in one section to be associated with higher scores in the other section. In other words, as the Math score increases, the Verbal score also tends to increase, and vice versa.

This positive relationship suggests that there is a correlation or connection between the abilities measured in the Math and Verbal sections of the SAT. Students who have strong analytical and problem-solving skills required for the Math section may also possess strong critical reading and language skills necessary for the Verbal section.

It is important to note that a positive relationship does not necessarily imply causation. It simply indicates a statistical association between the two variables. Students who perform well in Math may also have strong academic skills or study habits that contribute to their performance in the Verbal section, but further research would be needed to establish any causal relationship.

Overall, a positive relationship between Math and Verbal scores in the SAT suggests that students who excel in one area are likely to perform well in the other, indicating a correlation between these two sections of the exam.

Learn more about correlation here:

https://brainly.com/question/28898177

#SPJ11

Answer:

Both angles B and C are equal to 40°

Step-by-step explanation:

The diagram tells you that the triangle is an isosceles triangle. From this we know that angles B and C will be equal to each other. To find what the angle measures are, we are going to set the two given expressions equal to each other, solve for x, and the plug x back in to get the two angle measures.

\(2x+10=3x-5\\10=x-5\\15=x\)

Now we are going to plug x back into each expression to solve for angles B and C.

Angle B

\(2x+10\) ⇒ \(2(15)+10=40\)

Angle C

\(3x-5\) ⇒ \(3(15)-5=40\)

Both angles B and C are equal to 40°

The average rate of change, in simplest form, is 4

What is the average rate of change?

It quantifies how much the function changed per unit on average over that time interval. The slope of the straight line connecting the interval's endpoints on the function's graph is used to calculate it.

The rate of change of the function is its gradient or slope.

The formula for calculating the gradient of a function is expressed as:

\(m= \frac{dy}{dx} = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)

Using the coordinate points from the table (3, 8) and (4, 12)

Substitute the coordinate into the expression:

\(m= \frac{12-8}{4-3}\)

m = 4

Hence the average rate of change, in simplest form is 4.

To learn more about the average rate of change visit,

https://brainly.com/question/24313700

#SPJ1

The product is equivalent to $72 and its unit is $

An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.

For example, 2x+3

Given that,

The rate,

8hx$9/h

In simple words,

$9 per hour for 8 hours.

Now, for 1 hour, the cost is $9.

Therefore, for 8 hours,

It can be written as -

x = 9 x 8

x = $72

Hence, the product is equivalent to $72.

To know more about Expressions check:

brainly.com/question/16804733

#SPJ1

I uploaded the answer to a file hosting. Here's link:

tinyurl.com/wpazsebu

Answer:

x = 11

Explanation:

It looks like the total distance between points I and K is -3 + x. Since I to J and J to K is also the total distance, I to K is also equal to 6 + 2x - 20. You can represent this in an equation and solve for x.

-3 + x = 6 + 2x - 20

-3 + x = 2x - 14

- 3 = x - 14

11 = x

The town of Newton is mapped on a coordinate grid with the origin being at City Hall . The cafe is located at the point (-3, 9) and the bookstore is located at (3, 1).  How far is it from the café to the bookstore?

Answer :10

The correlation that indicates a strong positive straight-line relationship is e. 0.99.

2. The correlation of -0.8 indicates a strong, negative association between the two variables. Therefore, the correct answer is c.

3. The correlation of -0.63 between hours of television watched per week and reading scores indicates c. Children who watch more television tend to get lower reading scores.

4. The statement that does not contain a statistical blunder is d. All three prior statements contain blunders.

Correlation indicates the degree and direction of association between the variables. Correlation values range from -1 to +1.

1.  A correlation coefficient of 0. 99 means that there is a very strong positive relationship between the two variables.

2. A correlation of -0. 8 means there is a strong, negative connection between the two things being studied. So, the right answer is option c. The two variables are strongly connected in a bad way.

3. The -0.63  correlation between how much TV people watch each week and how well they read shows that the two things are linked in a negative way. Kids who watch a lot of TV usually have lower scores in reading.

4. Option a implies a causal relationship between a person's sex and the amount they pay for automobile insurance, which may not be true. This also applies to the rest.

Learn more about Correlation on:

https://brainly.com/question/13879362

#SPJ4

See questions below

Which correlation indicates a strong positive straight-line relationship?

a. 0.4 b. -0.75 c. 1.5 d. 0.0 e. 0.99

2. The correlation between two variables is of -0.8. We can conclude that

a. an increase in one variable causes a decrease in the other variable.

b. there is a strong, positive association between the two variables.

c. there is a strong, negative association between the two variables.

d. a decrease in one variable causes an increase in the other variable.

e. there are no outliers.

3. A study of grade school children finds that the correlation between hours of television watched per week during a school year and reading scores is r = -0.63. This tells us that

a. an arithmetic error was made because the correlation must be greater than 0.

b. children who watch more television tend to get higher reading scores.

c. children who watch more television tend to get lower reading scores.

d. there is almost no connection between television viewing and reading scores.

4. Which of the statements does not contain a statistical blunder?

a. there is a strong negative correlation between a person's sex and the amount that he or she pays for automobile insurance.

b. the mean height of young women is 64 inches, and the correlation between their heights and weights is 0.6 inches.

c. the correlation between height and weight for adult females is about r = 1.2.

d. all three prior statements contain blunders.

The statements that are true about the relationship and the correlation coefficient given are:

1. c     2. c     3. c     4. c

1. The option indicating a strong positive straight-line relationship is (c) 1.5. However, it is important to note that correlation coefficients range between -1 and 1, so a value of 1.5 is not a valid correlation coefficient.

2. The correct answer is (c) there is a strong, negative association between the two variables. A correlation coefficient of -0.8 indicates a strong negative relationship, where an increase in one variable is associated with a decrease in the other variable.

3. The correct answer is (c) children who watch more television tend to get lower reading scores. A correlation coefficient of -0.63 suggests a moderately strong negative relationship between the number of hours of television watched and reading scores. Therefore, as the number of hours of television watched increases, reading scores tend to decrease.

4. The correct answer is (c) the correlation between height and weight for adult females is about r = 1.2. This statement contains a statistical blunder. Correlation coefficients range between -1 and 1, so a correlation coefficient of 1.2 is not a valid value. The other statements do not contain statistical blunders.

Learn more about correlation on:

https://brainly.com/question/4219149

#SPJ4

The slope of a line that is perpendicular to y = x - 6 means that the slope has to be a negative reciprocal of the original slope

That means the slope of the line that is perpendicular to y = x - 6 is '-1'

Hope that helps!

The given inequality is

First, we need to isolate y

To do that we want to move 2y from the right side to the left side, then

To do that subtract 2y from 3y and subtract 2y from (2y + 3)

Since 3y - 2y = 1y

Since 2y - 2y = 0

Since 0 + 3 = 3

Then the answer is

The answer is B

The investment's expected return is 5.95%.

The expected return of an investment is calculated by multiplying the probabilities of each possible return by their respective returns and summing them up. In this case, Gautney Enterprises has provided the probabilities and returns for the investment. By applying the formula, we find that the expected return is 5.95%.

To calculate the standard deviation, we need to determine the variance first. The variance is computed by taking the difference between each possible return and the expected return, squaring those differences, multiplying them by their respective probabilities, and summing them up. Once we have the variance, the standard deviation is simply the square root of the variance. The standard deviation measures the degree of risk associated with an investment.

In this scenario, the expected return of the investment is 5.95%, but we need to consider the standard deviation as well to assess the risk. If the standard deviation is high, it indicates a greater level of uncertainty and potential volatility in returns. A low standard deviation implies a more stable investment.

Without the specific values for each return and their respective probabilities, we cannot calculate the exact standard deviation. However, Gautney Enterprises should compare the calculated expected return and the associated standard deviation to their risk tolerance and investment objectives. If the expected return meets their desired level of return and the standard deviation aligns with their risk appetite, they may consider investing in this security.

Learn more about standard deviation

brainly.com/question/31516010

#SPJ11

When performing a significance-test for comparing dependent means, several assumptions are necessary to make a valid inference- Normality, Equal variances, Independence,Random-sampling.

Some of these assumptions are:

Normality: The distribution of differences between the paired observations must be approximately normal.

This can be assessed using a normal probability plot or by conducting a normality test.

Equal variances: The variances of the paired differences should be approximately equal.

This can be assessed using the Levene's test.

Independence: The paired differences should be independent of each other.

This means that each observation in one sample should not influence the corresponding observation in the other sample.

Random sampling: The observations should be selected randomly from the population of interest.

This ensures that the sample is representative of the population.

To know more about Random-sampling, visit:

brainly.in/question/228405

#SPJ11

The false statement among the given options is "∃x(x/2 > x)." Let's go through each option and determine which one is false based on the given domain of all real numbers:

Option 1: ∀x(x^2 ≥ 0)

This statement asserts that for every real number x, the square of x is greater than or equal to 0. This statement is true because in the set of real numbers, the square of any real number is non-negative or zero.

Option 2: ∃x(x/2 > x)

This statement claims that there exists a real number x such that x divided by 2 is greater than x. However, if we choose any real number x and divide it by 2, the result will always be less than x. For example, if x = 2, then 2/2 = 1, which is less than 2. Therefore, this statement is false.

Option 3: ∃x(x^2 = −1)

This statement asserts the existence of a real number x whose square is equal to -1. However, in the set of real numbers, there is no real number whose square is negative. The square of any real number is always non-negative or zero. Therefore, this statement is false.

Option 4: ∃x(x^2 = 3)

This statement claims the existence of a real number x whose square is equal to 3. In the set of real numbers, there is no real number whose square is exactly 3. Therefore, this statement is also false.

In conclusion, the false statement among the given options is "∃x(x/2 > x)."

Learn more about real numbers here:

brainly.com/question/7889328

#SPJ11

the composite function that can be used to determine the height, in meters, of the flare at any given time is:
h_meters(t) = 0.3048 * h(t)

To determine the height of the flare in meters at any given time, we can use the composite function. The composite function is obtained by converting the height in feet to meters.

The conversion factor to convert feet to meters is 0.3048. So, we can multiply the height in feet by 0.3048 to get the height in meters.

Therefore, the composite function that can be used to determine the height, in meters, of the flare at any given time is:

h_meters(t) = 0.3048 * h(t)  Where h(t) is the height of the flare in feet, and h_meters(t) is the height of the flare in meters.

Know more about composite function here:

https://brainly.com/question/30660139

#SPJ11

If MCAT scores are distributed normally with mean (μ) = 113 and variance (σ²) = 144 and a random sample of 27 participants is taken, then the standard error of the mean is 2.31. The correct answer is option 5.

To find the standard error of the mean, follow these steps:

Hence, option 5) 2.31 is the correct answer.

Learn more about standard error of the mean:

brainly.com/question/29037921

#SPJ11