3. Explain the relationship between area and square units

The class that lost the most pencils overall based on the data displayed is D. Mr. Johnson's class; it has a wide spread in the data

The answer is Mr. Johnson's class. The median is the middle value in a set of data. In Mr. Johnson's class, the median is 11 pencils. This means that half of the students in his class lost 11 or fewer pencils, and half of the students lost 11 or more pencils.

In Mr. Simpson's class, the median is 14.5 pencils. This means that half of the students in his class lost 14.5 or fewer pencils, and half of the students lost 14.5 or more pencils.

Since the median for Mr. Johnson's class is lower than the median for Mr. Simpson's class, we can conclude that Mr. Johnson's class lost more pencils overall.

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Answer:

x=6

Step-by-step explanation:

subtract 10 on both sides you will get -x<-6 divide both sides by a negative 1 that is how you get 6

Answer:

A. The government buys up a lot of houses to build a new freeway.

Step-by-step explanation:

The correct answer is:

A. The government buys up a lot of houses to build a new freeway.

Explanation:

A buyer's market is a market where there are more properties available than there are buyers, giving buyers an advantage in negotiating prices. A seller's market, on the other hand, is a market where there are more buyers than there are properties available, giving sellers an advantage in negotiating prices.

If the government buys up a lot of houses to build a new freeway, it reduces the number of properties available in the market, thus creating a shortage of housing. This will shift the market from a buyer's market to a seller's market, as the reduced supply will increase competition among buyers and give sellers an advantage in negotiating prices.

Option B is incorrect because an increase in building materials prices will likely increase the cost of building new homes and discourage new construction, which will reduce the supply of new properties and potentially shift the market towards a buyer's market.

Option C is incorrect because a natural disaster that drives away a lot of the population will reduce demand for housing, potentially shifting the market towards a buyer's market.

Option D is incorrect because a factory laying off a lot of workers in the area will reduce demand for housing, potentially shifting the market towards a buyer's market.

Answer: A. The government buys up a lot of houses to build a new freeway.

Step-by-step explanation:

The final price of the pen is $1.76 after adding the markup percentages by both the wholesaler and the retailer.

The final price is the total amount of money that a customer pays to purchase a product or service. It includes the cost of the product or service plus any additional fees or charges, such as taxes or shipping costs.

The final price of the pen can be found by adding the markup percentages to the original price of $0.50.

Markup by the wholesaler = 60% of $0.50 = $0.30

Price after markup by wholesaler = $0.50 + $0.30 = $0.80

Markup by the retailer = 120% of $0.80 = $0.96

Final price of the pen = $0.80 + $0.96 = $1.76

Therefore, the final price of the pen is $1.76 after adding the markup percentages by both the wholesaler and the retailer.

For example, if a product costs $50 and there is a 10% sales tax, the final price would be $55 (50 + 5). Similarly, if a service costs $100 and there is a $10 delivery fee, the final price would be $110 (100 + 10).

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Answer:

B

Step-by-step explanation:

first you would need to do the inverse of sine to get the angle since normal sine would give you the length and you need the angle.

An easy way to remeber sine, cosine and tangent is

SOH CAH TOA

sin= opposite/ hypotenuse

cosine= adjacent/ hypotenuse

tangent= opposite/adjacent.

first label your triangle with the sides hypotenuse, adjacent and opposite.

hypotenuse is the longest side that is diagonal in this case like ab

opposite is the side that is opposite the angle you are looking for, so in thsi case line cb

adjacent is the like next to the angle you are trying to find so in thsi case like ac

and since we know sine inverse = opposite/hypotenuse = angle

(we are using sine for this question since that is what the question is asking for)

we simply do

sine inverse= 3/5

so the answer is B

i hope this helps! :)

Answer:B

Step-by-step explanation: im sure because i answer that in school im correct

After answering the provided question, we can conclude that Therefore, equation there are only two solutions to the system, and Sebastian's claim that there are infinitely many solutions is incorrect.

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x + 3" equals the number "9". The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. In the equation "x2 + 2x - 3 = 0," for example, the variable x is raised to the second power. Lines are utilized in many different areas of mathematics, such as algebra, calculus, and geometry.

The given system of equations is:

\(-2y - 1x = 1\\(2y + 1)x - 2y = 1\\\)

From the first equation, we have:

\(-2y - 1x = 1\\x = -2y - 1\\(2y + 1)(-2y - 1) - 2y = 1\\-4y^2 - 2y - 2y - 1 - 2y = 1\\-4y^2 - 6y = 2\\-2y^2 - 3y - 1 = 0\\\)

Now, we can solve for y using the quadratic formula:

\(y = [-(-3) + /sqrt((-3)^2 - 4(-2)(-1))]/(2(-2))\\y = [3 + /sqrt(9 - 8)]/(-4)\\y = [3 + 1]/(-4)\\\)

So, y can have two possible values:

y = -1/2 or y = -1

When y = -1/2:

\(x = -2y - 1\\x = -2(-1/2) - 1\\x = 0\\x = 0, y = -1/2\\\)

When y = -1:

\(x = -2y - 1\\x = -2(-1) - 1\\x = 1\\x = 1, y = -1\\\)

Therefore, there are only two solutions to the system, and Sebastian's claim that there are infinitely many solutions is incorrect.

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Answer:

Option 3 is the correct answer because the shade is above the line for a greater than symbo the you plot the y intercept 1 and the slope -3.

Not sure if this helps.

Answer:

1

Step-by-step explanation:

x-1+ 1 /5*( x-1)=0

(x-1)*6/5=0

x=1

The question is an illustration of right-angled triangles

The approximated value of x is 33.5 degrees

The given parameters are:

\(\theta = x\)

\(Hypotenuse = 58\)

\(Opposite = 32\)

To determine the measure of angle x, we simply make use of the following sine ratio.

\(\sin(\theta) = \frac{Opposite}{Hypotenuse}\)

So, we have:

\(\sin(x) = \frac{32}{58}\)

\(\sin(x) = 0.5517\)

Take arc sine of both sides

\(x = \sin^{-1}(0.5517)\)

This gives

\(x = 33.5\)

Hence, the approximated value of x is 33.5 degrees

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The y-intercept is (0,2)

The slope is -5/2.

                \(\frac{y2-y1}{x2-x1}=\frac{-3-2}{2-0}=\frac{-5}{2} =-\frac{5}{2}\)

Hope that helps!

Answer:

y- intercept is (0, 2)

Slope is -5/2

Answer:

Missouri admitted as a slave state.

Maine admitted as a free state.

Slavery disallowed in future territories north of 36°30' except within Missouri itself.

Step-by-step explanation:

Answer:

First find how much more the recipe increased by

32/8=4

She needs to have 4 times more the recipe

Since she multiplied the 8 drops of yellow by 4 we need to balance the food coloring and multiply the red food coloring by 4

12 x 4 = 48 drops of red food coloring

48 drops

Hope this helps

Step-by-step explanation:

Altitude, like elevation, is the distance above sea level. Areas are often considered "high-altitude" if they reach at least 2,400 meters (8,000 feet) into the atmosphere. ... This is called indicated altitude, and is measured by an instrument called an altimeter. As altitude rises, air pressure drops.

Answer:

the height of an object or point in relation to sea level or ground level.

Explanation:

height above sea level

Although the term altitude is commonly used to mean the height above sea level of a location, in geography the term elevation is often preferred for this usage. Vertical distance measurements in the "down" direction are commonly referred to as depth.

Answer:

2(3-8y)=

6-16y

Step-by-step explanation:

Answer:

Please read the explanation!

Step-by-step explanation:

Hi! I will try to do my very best with helping you. Because there is not an example that goes along with this question, I will give my own.

Lets say we have triangle ABC in quadrant II. The Points are:

A: (-5,1)

B: (-3,5)

C: (-1,1)

If we plot that than we have a triangle. And when we reflect anything, not just a triangle, we would need to basically flip it over and mirror the image. The triangle will move, but it is the same triangle as it was before. All that has happened is that is was married to the otherside.

If you are a bit confused think of when you are in front of a mirror.

So let's reflect it over the y-axis.

When in doing so, you need to make sure that the x in (x, y) is changed into a positive number. We need to make sure that we know that quadrant I has positive x-axis.

So,

A becomes (5,1)

B becomes (3,5)

C becomes (1,1)

And if you plot that it should be flipped or reflected like a mirror image.

I really hope this helped!

Answer:

3/7 (simplified)

Step-by-step explanation:

The original answer would be 6/14 because 6 out of 14 people said tennis. However, you divide both by 2 to get 3/7. The percent would be 42% if that is needed.

Answer:

A. trust me I did it and got 100

Answer:

D

since all the other 1st elements (Domains) of each ordered pairs are repeated in all options except D they are not functions.

In conclusion, a function is defined as a set of ordered pairs with wich each element of the domain has one unique y value.

Hey there!

|c^2 + b^2|

= -2^2 + -3^2

= -2^2 - 3^2

= -4 - 9

= -13

Therefore, your answer is: -13

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

10

Step-by-step explanation:

|-2(2)-3(2)|

|-4-6|

|-10|

=10

Interaction are variables that are created by combining two or more predictor variables. The three interaction variables discussed in the chapter.

Interaction Terms: An interaction term is a product of two (or more) predictor variables. It is used to capture the combined effect of two variables, and is usually represented as an equation of the form y = β0 + β1X1 + β2X2 + β3X1X2. Interaction Effects: An interaction effect occurs when the effect of one predictor on the dependent variable depends on the value of another predictor. It is usually represented as an equation of the form y = β0 + β1X1 + β2X2 + β3X1X2 + β4X2X2. Interaction Coefficients: An interaction coefficient is a parameter that is estimated by the model and measures the strength of the interaction between two predictors. It is usually represented as an equation of the form y = β0 + β1X1 + β2X2 + β3X1X2 + β4X2X2 + β5X1X2.

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Answer:

y intercept= (0, 8)

Step-by-step explanation:

x       y

-3     10

-2     4

-3/4 41/4

0     8

1     -2

Answer:

Step-by-step explanation:

The formula for the volume of a cylinder is:

V = πr^2h

where V is the volume, r is the radius, and h is the height.

We are given that V = 1607 and r = 4. We can plug these values into the formula and solve for h:

1607 = π(4^2)h

1607 = 16πh

h = 1607/(16π)

h ≈ 25.5

Therefore, the height of the cylinder is approximately 25.5 units. Note that we rounded the answer to one decimal place since the radius was given to one decimal place.

Approximately 2.28% of the data is more than 2 standard deviations above the mean in a normal distribution.

The data follows a symmetrical bell-shaped curve in a normal distribution. The data's average is located in the middle of the curve, and the standard deviation is used to calculate how much the data vary from the average. An outlier is a value that is two or more standard deviations apart from the mean. Approximately 68.27% of the data, 95.45% of the data, and 99.73% of the data are within one standard deviation, two standard deviations, and three standard deviations, respectively, of the mean. As a result, more than two standard deviations are above the mean for 2.28% of the data.

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Approximately 68% of the data in a normal distribution lies within one standard deviation from the mean according to the empirical rule.

According to the empirical rule, which applies to a normal distribution, approximately 68% of the data falls within one standard deviation of the mean. Specifically, 68.27% of the data falls within one standard deviation of the mean, which means that if the distribution is bell-shaped, the data is symmetrically distributed around the mean and most of the data is clustered within one standard deviation from the mean.

The empirical rule also states that approximately 95% of the data falls within two standard deviations of the mean, and about 99.7% of the data falls within three standard deviations of the mean.

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Answer:

(a) 6.01 (b) 57.33

Step-by-step explanation:

(a) DF² = 10² + 12² - 2 · 10 · 12 · cos(30°)

=> DF² = 244 - 240 · cos(30°)

=> DF² = 36.154

=> DF = √36.154

=> DF ≈ 6.01

(b) \(\frac{12.8}{sin(63)} = \frac{12.4}{sin (B)}\)

=> sin (B) = sin (63) × 12.4 ÷ 12.8

=> B = sin^-1 (sin (63) × 12.4 ÷ 12.8)

=> B = 59.67355245

180 - 63 - 59.67355245 ≈ 57.33

Law of cosines & sines:

Answer:

Hey the answer is B, 8!

Step-by-step explanation:

Answer:

a^5

Step-by-step explanation:

A law of indices states that a^b + a^c = a^(b+c)

a^3 x a^2 = a^5

Hope this helps

To calculate the margin of error, you need to determine the critical value associated with the desired level of confidence. The margin of error is then obtained by multiplying the critical value by the standard deviation.

Let's assume you want to calculate the margin of error for a 95% confidence level. For a normal distribution, the critical value corresponding to a 95% confidence level is approximately 1.96.

Margin of Error = Critical Value * Standard Deviation

Using the given values:

Standard Deviation = 0.08

For a 95% confidence level:

Critical Value = 1.96

Margin of Error = 1.96 * 0.08

Calculating the margin of error:

Margin of Error = 0.1568

Therefore, the margin of error is approximately 0.1568

The statistics are as follows:

- Test Statistic: The calculated test statistic is approximately 1.02.

- P-value: The P-value associated with the test statistic of 1.02 is approximately 0.154.

- Confidence Interval: The 95% confidence interval for the difference in proportions is approximately -0.0186 to 0.0786.

To solve the problem completely, let's go through each step in detail:

1. Test Statistic:

The test statistic can be calculated using the formula:

z = (p1 - p2) / √[(p_cap1 * (1 - p-cap1) / n1) + (p_cap2 * (1 - p_cap2) / n2)]

We have:

p1 = 0.55 (proportion in the first poll)

p2 = 0.53 (proportion in the second poll)

n1 = 630 (sample size of the first poll)

n2 = 1010 (sample size of the second poll)

Substituting these values into the formula, we get:

z = (0.55 - 0.53) / √[(0.55 * (1 - 0.55) / 630) + (0.53 * (1 - 0.53) / 1010)]

z = 0.02 / √[(0.55 * 0.45 / 630) + (0.53 * 0.47 / 1010)]

z ≈ 0.02 / √(0.0001386 + 0.0002493)

z ≈ 0.02 / √0.0003879

z ≈ 0.02 / 0.0197

z ≈ 1.02 (rounded to two decimal places)

Therefore, the test statistic is approximately 1.02.

2. P-value:

To find the P-value, we need to determine the probability of observing a test statistic as extreme as 1.02 or more extreme under the null hypothesis. We can consult a standard normal distribution table or use statistical software.

The P-value associated with a test statistic of 1.02 is approximately 0.154, which means there is a 15.4% chance of observing a difference in proportions as extreme as 1.02 or greater under the null hypothesis.

3. Confidence Interval:

To estimate the difference in proportions with a 95% confidence interval, we can use the formula:

(p1 - p2) ± z * √[(p_cap1 * (1 - p_cap1) / n1) + (p_cap2 * (1 - p_cap2) / n2)]

We have:

p1 = 0.55 (proportion in the first poll)

p2 = 0.53 (proportion in the second poll)

n1 = 630 (sample size of the first poll)

n2 = 1010 (sample size of the second poll)

z = 1.96 (for a 95% confidence interval)

Substituting these values into the formula, we get:

(0.55 - 0.53) ± 1.96 * √[(0.55 * (1 - 0.55) / 630) + (0.53 * (1 - 0.53) / 1010)]

0.02 ± 1.96 * √[(0.55 * 0.45 / 630) + (0.53 * 0.47 / 1010)]

0.02 ± 1.96 * √(0.0001386 + 0.0002493)

0.02 ± 1.96 * √0.0003879

0.02 ± 1.96 * 0.0197

0.02 ± 0.0386

The 95% confidence interval for the difference in proportions is approximately (0.02 - 0.0386) to (0.02 + 0.0386), which simplifies to (-0.0186 to 0.0786).

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