A 'variable' is defined as when a characteristic of interest differs in kind or degree among various observations. True or false

Answer:

A

Step-by-step explanation:

This is an inverse

x = 1/9y -2

x+2 = 1/9y

y = 9x+18

The average speed during the interval between 1 second and 2 seconds is most nearly 8 m/s, which corresponds to option (E).

To determine the average speed during the interval between 1 second and 2 seconds, we need to find the displacement of the object during that time interval and divide it by the duration.

Looking at the graph, we can observe that the object's position increases from approximately 0 meters at 1 second to approximately 8 meters at 2 seconds.

Therefore, the displacement is 8 meters - 0 meters = 8 meters.

The duration of the time interval is 2 seconds - 1 second = 1 second.

To calculate the average speed, we divide the displacement by the duration:

Average speed = Displacement / Duration = 8 meters / 1 second = 8 m/s.

Therefore, the average speed during the interval between 1 second and 2 seconds is most nearly 8 m/s, which corresponds to option (E).

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Conservation of number, which is the understanding that the quantity of an object remains the same even if its appearance or arrangement changes.

Four-year-old Dimitri has not acquired the concept of conservation.

Conservation refers to the understanding that certain properties of objects, such as quantity, remain the same even when their appearance changes, as long as nothing is added or removed.

In this case,

Dimitri incorrectly believes that increasing the spacing between nickels in one row results in more nickels, failing to understand that the quantity remains the same.

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Answer:

x=2

Step-by-step explanation:

2/12 is equal to 12/72

Answer:

its 2

Step-by-step explanation:

Answer:

0.275

Step-by-step explanation:

Answer: 13.8

Step-by-step explanation:

Answer:

13.8

Step-by-step explanation:

To determine the 90% confidence interval for the mean repair cost for the TVs, we can use the formula:

Confidence Interval = Sample Mean ± (Critical Value * Standard Error)

Where:

Sample Mean = $91.78

Standard Deviation = $23.13

Sample Size = 44

Critical Value (z-value) for a 90% confidence level = 1.645 (obtained from a standard normal distribution table)

Standard Error = Standard Deviation / (\(\sqrt{Sample Size}\))

Standard Error = $23.13 / \(\sqrt{44}\)= $23.13 / 6.633 = $3.49 (rounded to two decimal places)

Confidence Interval = $91.78 ± (1.645 * $3.49)

Upper Bound = $91.78 + (1.645 * $3.49) = $91.78 + $5.74 = $97.52 (rounded to two decimal places)

Lower Bound = $91.78 - (1.645 * $3.49) = $91.78 - $5.74 = $86.04 (rounded to two decimal places)

Therefore, the 90% confidence interval for the mean repair cost for the TVs is approximately $86.04 to $97.52.

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Answer:

Rate of growth = 88

Initial value = 1600

Step-by-step explanation:

The given equation is an exponential function.

An exponential function is used to calculate the exponential growth or decay of a given set of data.  In an exponential function, the variable is the exponent.

\(\boxed{\begin{minipage}{9 cm}\underline{General form of an Exponential Function}\\\\$y=ab^x$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the initial value ($y$-intercept). \\ \phantom{ww}$\bullet$ $b$ is the base (growth/decay factor) in decimal form.\\\end{minipage}}\)

Given equation:

\(y=1600(88)^x\)

The given equation is an exponential function where:

Therefore, the initial value of the equation is 1600.

As b > 1, the function represents exponential growth, and the growth factor is 88. This means that for each increase of one unit in the independent variable (x), the dependent variable (y) will be multiplied by 88.

The standard deviation of wait time is 13.8564.

The length of time patients must wait to see a doctor in a local clinic is uniformly distributed between 25 minutes and 73 minutes. We have to find the standard deviation of the wait time.

The square root of the variance of a random variable, sample, statistical population, data collection, or probability distribution is its standard deviation. The standard deviation in statistics is a measure of the degree of variation or dispersion in a set of values. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation shows that the values are spread out over a larger range.

S² = (73 - 25)²/12

S² = (48)²/12

S² = 192

S = √192

S = 13.8564

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Answer:

20

Step-by-step explanation:

Answer:

6x +15

Step-by-step explanation:

For Helen's canvas is 12 in, wide, length of canvas is, 18 inch

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

Helen is copying a printed reproduction of the Mona Lisa.

And, The print is 24 in. wide and 36 in tall.

Now,  If Helen's canvas is 12 in, wide, length of canvas = x

Hence, We get;

24 / 36 = 12 / x

x = 12 x 36 / 24

x = 18 inch

Thus, Lenght of canvas is, 18 inch.

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Answer:

140

Step-by-step explanation:

ap3x

As per the given data, the shared secret key between you and Agustín is 150.

To determine the shared secret key in the Diffie-Hellman-Merkle key exchange, we need to perform the following steps:

1. Calculate the public key:

  - Generator (g): 7

  - Prime modulus (p): 437

  - Your secret number (a): 203

  Public key = (g^a) mod p

  Public key = (7^203) mod 437

  Calculate the exponent using modular exponentiation:

  Public key ≡ 196 (mod 437)

  Therefore, your public key is 196.

2. Agustín's public key is given as 26.

3. Calculate the shared secret key:

  - Agustín's public key (B): 26

  - Your secret number (a): 203

  - Prime modulus (p): 437

  Shared secret key = (\(B^a\)) mod p

  Shared secret key = (\(26^{203\)) mod 437

  Calculate the exponent using modular exponentiation:

  Shared secret key ≡ 150 (mod 437)

Therefore, the shared secret key between you and Agustín is 150.

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Thus, the total surface area of the given triangular prism is found to be:

A = 232  ft².

A prism is a solid form that is enclosed by plane faces on all of its sides. A prism has two different kinds of faces. Bases refer to the identical top and bottom faces.

The name "prism" refers to the form of these bases. For instance, a prism is referred to be a triangular prism if its base is triangular.

The dimension of the prism is shown:

Perimeter =  sum of bases

P = 7 + 5 +5 = 17

P = 17 ft

Curved surface area = perimeter x height

                               = 17 × 8

                              = 136 ft²

Base area shown triangular prism = 1/2 *h (b1 + b2)

= 1/2 * (5 + 7)

= 48 ft²

Now,

Total surface area of shown triangular prism:

A = P*h + 2* base area

A = 136 + 2*48

A = 232  ft²                            

Thus, the total surface area of the given triangular prism is found to be:

A = 232  ft².

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Complete question:

Find the total surface area of the prism.

7 ft

8 ft

5 ft

5 ft

The picture is attached:

The differential equation that models this situation is dx/dt = kx(M - x) (option c).

To determine the differential equation that models the situation, let's analyze the problem statement.

The rate at which a person can memorize a list of M words is proportional to the product of the number of words memorized and the number of words that have not been memorized.

Let's denote the number of words memorized as "a" and the number of words not yet memorized as "M - a" (where M is the total number of words in the list).

The problem states that the rate of memorization is proportional to the product of "a" and "M - a". We can express this mathematically as:

Rate of memorization ∝ a * (M - a)

To convert this proportionality into an equation, we introduce a positive constant k:

Rate of memorization = k * a * (M - a)

The left side of the equation represents the rate of change of the number of words memorized (da/dt), and the right side represents the product of "a" and "M - a" multiplied by the constant k.

Therefore, the differential equation that models this situation is:

da/dt = k * a * (M - a)

Comparing this with the given options, we can see that the correct choice is option C:

dx/dt = k * x * (M - x)

The complete question is:

At any time t > 0 the rate at which a person can memorize a list of M words is proportional to the product of the number of words memorized and the number of words that have not been memorized. If a denotes the number of words memorized at time t, which differential equation models this situation? Assume k is a positive constant.

A. dx/dt = kx

B. dx/dt = kx(x - M)

C. dx/dt = kx(M - x)

D. dx/dt = kt(M - t)

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Answer:

there is no picture

Step-by-step explanation:

Answer:

there no pick repost and ill tell

Step-by-step explanation:

Answer: Half

Step-by-step explanation:

Answer:

-21/5 or -4.2

Step-by-step explanation:

y = 2x + 6

3y - x + 3 = 0

Substitute the value for y from the first equation into the second equation.  Solve for x.

3y - x + 3 = 0

3(2x + 6) - x  + 3= 0

6x + 18 - x + 3 = 0

5x + 18 + 3 = 0

5x + 21 = 0

5x + 21 - 21 = 0 - 21

5x = -21

x = -21/5 or -4.2

The range for the southern cities is 145 mi² greater than the range for the northern cities.

We must determine the difference between the largest and smallest areas in each group in order to determine the range of the cities.

Minneapolis has the smallest area (58 miles2) and the largest (305 miles2) of the northern cities. Therefore, the northern cities' range is:

305 mi² - 58 mi² = 247 mi²

For the southern cities, the smallest area is 111 mi² (Orlando) and the largest area is 503 mi² (Los Angeles). So the range for the southern cities is:

503 mi² - 111 mi² = 392 mi²

To find how much greater the range is for the southern cities, we subtract the range for the northern cities from the range for the southern cities:

392 mi² - 247 mi² = 145 mi²

As a result, the cities in the south have a range that is 145 miles longer than the cities in the north.

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Answer:

56 cola flavored gumboils

Step-by-step explanation:

Bob's 40 count of gumballs has 16 cola gumballs

Therefore the probability of a gumball being cola based on the sample size of Bob's purchase = 16/40 = 2/5

There are 140 gumballs left in the machine so we can expect that, on an average, 2/5 of them should be cola gumballs

So number of cola gumballs left is expected to be  2/5 x 140 = 56

This is only a prediction based on Bob's sample of 40 cola gumballs

Answer:

7g+14h

Step-by-step explanation:

hope it helped you

Answer:

7g + 14h

Step-by-step explanation:

What is an equivalent expression?

7(g + 2h)

7(g) + 7(2h) <== multipe both terms by 7

7g + 14h

Hope this helps!

Answer:

Step-by-step explanation:

P + 4.5 = - p + 5

Bringing like terms on one side

P + p = 5 - 4.5

2p = 0.5

p = 0.5/2 = 0.25

In my opinion the answer is one solution

Answer:

1 solution.

Step-by-step explanation:

1/2(2p + 9) = -p + 5

lets solve for p

1/2 * 2p + 1/2 * 9 = -p + 5

1p + p + 9/2 = - p + p + 5

2p + 9/2 = 5

Multiply by 2 on both sides to get rid of the fraction 9/2.

4p + 9 = 10

4p = 1

p = 1/4

Therefore, there is only 1 solution.

You can now check by plugging in 1/4 for p in the original equation.

Answer:

12

Step-by-step explanation:

3 divided by .25 equals 12. You move the decimal of 25% twice to the left to get .25.