is it legal to drive at 80 mph if everyone is driving at that same speed, even though the posted speed limit is 65 mph?

Answer:

the amount of garbage started to increase around 2005 or 2007

Answer:

\(\huge\boxed{\sf 6xy-3x^2}\)

Step-by-step explanation:

Given Expression:

(x + y)² - (x - y)² + 2xy - 3x²​

Formulas used:

Expand the above expression according to the formulas

\(=x^2+2xy+y^2-(x^2-2xy+y^2)+2xy-3x^2\\\\= x^2+2xy+y^2-x^2+2xy-y^2+2xy-3x^2\\\\cancel \ out \ x^2 \ and \ y^2\\\\= 2xy+2xy+2xy-3x^2\\\\= 6xy-3x^2\\\\\rule[225]{225}{2}\)

True. Statistical inference is a branch of statistics that involves using a sample of data to make inferences about a larger population.

It involves drawing conclusions about population parameters (such as mean, variance, proportion, etc.) based on sample statistics (such as sample mean, sample variance, sample proportion, etc.). In statistical inference, we use probability theory and statistical models to quantify the uncertainty associated with our estimates and to make decisions based on the available data. The ultimate goal of statistical inference is to make generalizations about the population based on the sample data with a certain level of confidence or accuracy.

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Answer:

Step-by-step explanation:

Answer:

C) 170 centimeters

Step-by-step explanation:

The missing graph-diagram to the question is attached in the image below.

Using the line of best fit, the predicted height for someone with a first metacarpal bone that has a length of 4.45 centimeters can be determined as follows:

The length of 4.5 centimeters appears on the horizontal x-axis; This implies that 4.45 is a half distance between the undotted 4.4 centimeters and the dotted 4.5 centimeters. Similarly, on the vertical y-axis, 170 is directly equivalent to the dotted point of 4.5 centimeters. Thus, the predicted height with a 4.45 centimeters length is approximately 170 centimeters by using the line of best fit.

Answer:

To create a perfect square of given expression,

On solving the above expression we get,

we have that,

To create a perfect square: add ( half the coefficient of the x- term )²

Coefficient of x term is 3

half the coefficient of the x- term is 1.5

( half the coefficient of the x- term )² is 2.25

Add 2.25 to the quadratic expression inside the bracket, we get,

In general, we adding 11.25 (that is, 2.25x5=11.25) to the given expression.

we get,

Multiply 5 to the above equation, we get

Based on the above calculation, we adding 11.25 and multiplying the expression by 5 in order to create a perfect square.

Adding 11.25 and multiplying the expression by 5 in order to create a perfect square.

Answer:

d. $343.33

Step-by-step explanation:

We use the equation

A = P(1 + r)^t

P = $1287

r = 6% = 0.06

t = 4 years

Let's solve

A = 1287( 1 + 0.06)^4

A = 1287(1.06)^4

A = $1630.33

$1630.33 - $1287 = $343.33

So, the answer is D

The data described, the number of televisions in different households, is discrete.

discrete data consists of individual values that can be counted and are distinct from one another. In this case, the number of televisions is a discrete variable because it can only take on whole numbers, such as 0, 1, 2, 3, and so on. You cannot have a fractional or continuous number of televisions. Each household will have a specific count of televisions, and there is no intermediate value between each whole number. Additionally, the number of televisions is distinct for each household, meaning that it can differ from one household to another.

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The variance of the return on a portfolio with many securities is more dependent on the covariances between the individual securities than on the variances of the individual securities.

The variance of a portfolio measures the variability or dispersion of the portfolio's returns. When a portfolio consists of multiple securities, the overall variance is influenced by the interrelationships among the returns of those individual securities.

The covariance between individual securities in a portfolio has a significant impact on the portfolio's variance.

The diversification benefits arise from the fact that covariances tend to offset each other, potentially leading to a lower overall portfolio variance compared to the sum of individual variances.

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Answer: -14

Step-by-step explanation: Use the given functions to set up and simplify g(−2)

- Span{v1, v2, v3, 0} is equal to the span of {v1, v2, v3}.
- Span{v1, v1-v2, v3} is equal to the span of {v1, v2, v3}.
- Span{v1, v2} is NOT equal to the span of {v1, v2, v3}.

Let's analyze each of the sets of vectors to determine if they are equal to the span of {v1, v2, v3}:
1. Span{v1, v2, v3, 0}:
This set is equal to the span of {v1, v2, v3} because adding the zero vector (0) does not affect the linear independence or the span of the other vectors.

A span is the set of all possible linear combinations of the vectors, and since the zero vector does not change the linear combinations, the span remains the same.
2. Span{v1, v1-v2, v3}:
This set is also equal to the span of {v1, v2, v3}.

The reason is that the vector (v1-v2) can be written as a linear combination of v1 and v2: (v1-v2) = 1*v1 + (-1)*v2.

Since all vectors in this set can be expressed as linear combinations of {v1, v2, v3}, the span remains the same.
3. Span{v1, v2}:
This set is NOT equal to the span of {v1, v2, v3} because it is missing the vector v3.

Since v1, v2, and v3 are linearly independent, removing one of them (v3 in this case) means that the set cannot span the same space as {v1, v2, v3}.

It has a lower dimension, and therefore, the span is different.

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If the standard deviation of a set of data is 6, then the value of variance is 36

The formula for determining variance is variance = √Standard deviation

Variance of a set of data is equal to square of the standard deviation.

If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula

variance = √Standard deviation

Take square root on both sides

Standard deviation² = 6²

Standard deviation= 36

Hence,  standard deviation of a set of data is 6, then the value of variance is 36

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So, 3 people can go to the amusement park with $69.75 for parking and admission.

Let pp be the number of people who can go to the amusement park.

An equation is a mathematical statement that asserts the equality of two expressions. The expressions are separated by an equal sign (=), and they can include numbers, variables, and mathematical operations.

The equation to determine the number of people is:

pp * 17.50 + 17.25 = 69.75

To solve for pp, we can subtract 17.25 from both sides of the equation:

pp * 17.50 = 52.50

And finally, we divide both sides by 17.50:

pp = 3

Therefore, 3 people can go to the amusement park with $69.75 for parking and admission.

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Answer:

5 or 6

Step-by-step explanation:

So I did it in a different way than shown in rsm classes. I said that the speed was x-2 and x.

then I said the distance was 6 and 15. If the time taken was 1 hour more, then we can come up with this equation:

Since the time is 6/x-2 or 15/x

15/x-6/x-2=1

multiply everything to get a common denominator then cancel it out to get

(15x-30)-6x=x^2-2x

11x-30=x^2

x^2-11x+30=0

(x-5)(x-6) is factored form.

so x=5 or x=6. this means that the speed of the boat is either 5km/h or 6 km/h

× = 25/99

Step-by-step explanation:

x = 0.2525..... (1)

then ; 100x = 25.2525... (2)

(2) - (1) gives

x (100 -1) = 25

x = 25/99

a  Step-by-step explanation:

Given:

The vertices of a quadrilateral are v(-2,-1) w(-5,-2) x(-8,-7) and y(1,-6).

To find:

The vertices of the image of quadrilateral vwxy after 180° about the origin.

Solution:

If a figure rotated 180° about the origin, then the rule of rotation is

\((x,y)\to (-x,-y)\)

Using this rule, we get

\(v(-2,-1)\to v'(2,1)\)

\(w(-5,-2)\to w'(5,2)\)

\(x(-8,-7)\to x'(8,7)\)

\(y(1,-6)\to y'(-1,6)\)

Therefore, the vertices of image of quadrilateral vwxy after 180° about the origin are  v'(2,1), w'(5,2), x'(8,7), y'(-1,6).

The Mean of a standard normal distribution is always equal to 0. This statement is true.

The standard normal distribution is a normal distribution with a mean of zero and a standard deviation of one. The density curve of a standard normal distribution is bell-shaped and symmetric. Its total area under the curve is equal to 1.00.A normal distribution with a mean (µ) of zero and a standard deviation (σ) of one is called a standard normal distribution. Any normal distribution can be converted into a standard normal distribution by using a process known as standardization. Z-score formula is used to find the probability and value associated with any normal distribution.What is a normal distribution?A normal distribution is a statistical term that describes a symmetrical, bell-shaped probability distribution that has a particular mathematical formula. It's used to explain and assess natural phenomena such as height, blood pressure, and intelligence quotient (IQ).A normal distribution is a probability distribution with a bell-shaped curve that is symmetrical. The mean (µ) is the center of the curve, while the standard deviation (σ) determines its width. Most of the values in a standard normal distribution are concentrated within three standard deviations of the mean, as seen in the figure. The standard normal distribution is one of the most often utilized continuous probability distributions in statistical theory.

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The total surface area of the two hemispherical domes is 6.16m^2

To find the TSA (total surface area) of two hemispherical domes, we need to first find the surface area of one hemispherical dome, and then multiply it by 2.

The surface area of one hemispherical dome can be found using the formula:

SA = 2πr^2

where r is the radius of the base of the hemisphere.

Given that the base radius of each hemisphere is 0.7m, the total diameter of each hemisphere is 1.4m (since the diameter is twice the radius), and therefore the radius is 0.7m.

So the surface area of one hemisphere is:

SA = 2π(0.7m)^2

= 3.08m^2

Therefore, the TSA of two hemispherical domes is:

TSA = 2 × SA

= 2 × 3.08m^2

= 6.16m^2

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Answer:

12

Step-by-step explanation:

if I have 1 foot and I split it into 3 sections (1/3 of a sandwich) I would have 3 servings, because I have 4 feet I have to time 3 times 4, which equals 12

The exact values for a and b are: a = 4cos(π/3) and b = 4sin(π/3).

To express 4cos(π/3) in the form a + bj, we can use Euler's formula, which states that e^(ix) = cos(x) + isin(x).

We have 4cos(π/3), so we can rewrite it as:

4cos(π/3) = 4Re[e^(i(π/3))]

Using Euler's formula, we know that e^(i(π/3)) = cos(π/3) + isin(π/3). Therefore, we have:

4cos(π/3) = 4Re[cos(π/3) + isin(π/3)]

Taking the real part (Re) of the expression, we get:

4cos(π/3) = 4cos(π/3) + i(4sin(π/3))

Now, we can separate the real and imaginary parts:

Real part: 4cos(π/3)

Imaginary part: 4sin(π/3)

Therefore, in the form a + bj, we have:

4cos(π/3) = 4cos(π/3) + i(4sin(π/3))

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Labor productivity is an important measure of economic growth, and there are several factors that can affect it. These include the amount of physical capital available, the education and training of workers, and the use of advanced technology. Overall, while falling prices can be a positive factor for economic growth, it is not directly tied to labor productivity, making option B the correct answer.

Option B, "the speed with which prices fall," is not directly related to labor productivity. While falling prices can indicate a decrease in inflation and potentially stimulate economic growth, they do not directly impact the efficiency of workers or the production process.

In contrast, the other options are all important factors that can affect labor productivity. A higher saving rate can lead to greater investment in physical capital and technological advancements, which can improve productivity. Similarly, increasing the growth rate of physical capital and labor productivity can both lead to increases in overall productivity.

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200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

The absolute difference between the predicted and actual values must be determined, added together, and divided by the total number of periods.

Forecasted values are as follows: 1,500 and 1,400

Values in actuality: 1,200 and 1,500

Absolute differences:

|1,500 - 1,200| = 300

|1,400 - 1,500| = 100

Now, we calculate the MAD:

MAD = (300 + 100) / 2 = 400 / 2 = 200

Therefore, 200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

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Answer:

Root( c square -9)

Step-by-step explanation:

The answer u have is the answer for a^2

Answer:

Root (c square -9)

Step-by-step explanation:

9/12 = 75%

if any questions just ask.

Answer:

Step-by-step explanation:

When dealing with the simultaneous occurrence of two events A and B, the probability can be determined by using the probability of one event and the conditional probability of the other event given that the first event has occurred. Both P(A) * P(B|A) and P(B) * P(A|B) are valid ways to calculate this probability.

The concept of probability is fundamental in various fields such as mathematics, statistics, and even in everyday life. The probability of the simultaneous occurrence of two events A and B is a critical concept in probability theory. According to the definition, the probability of A and B occurring at the same time is equal to the probability of A multiplied by the conditional probability of B given that A has occurred. This equation is also valid in the reverse case, where the probability of B and A occurring simultaneously is equal to the probability of B multiplied by the conditional probability of A given that B has occurred.

Understanding the relationship between the probability of two events and their conditional probabilities is essential in predicting the likelihood of these events happening together. In real-life situations, this concept can be used to determine the probability of two events such as the success of a product launch and the corresponding increase in sales. The probability of these two events occurring simultaneously can be predicted by analyzing the probability of the product launch's success and the conditional probability of sales increasing given that the product launch is successful.

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Answer:

y = 4/5x + 3

Step-by-step explanation:

If two lines are parallel to each other, they have the same slope slopes.

The first line is y = 4/5x + 2. Its slope is 4/5. A line parallel to this one will also have a slope of 4/5.

Plug this value (4/5) into your standard point-slope equation of y = mx + b.

y = 4/5x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (5, 7). Plug in the x and y values into the x and y of the standard equation.

7 = 4/5(5) + b

To find b, multiply the slope and the input of x (5)

7 = 4 + b

Now, subtract 4 from both sides to isolate b.

3 = b

Plug this into your standard equation.

y = 4/5x + 3

This equation is parallel to your given equation (y = 4/5x + 2) and contains point (5, 7).

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