please solve this question (and explain how it works) thank you!​

Answer:

x/> -y/2 + 1/2

The scatter plot shows the results of the survey and yes, there is an outlier in the data set which is the lowest time value of grade 11 and it is an outlier because it is an extremely low data point relative to the nearest data point.

This is referred to as an extremely high or extremely low data point relative to the nearest data point and the rest of the neighboring co-existing values in a data graph.

The outlier is at the lowest time value if grade 11 and it falls under such category because it is an extremely low data point relative to the nearest data point in the given graph.

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The 98% confidence interval for the population mean (μ) is approximately (2.711, 3.009).

1: Identify the given data

Sample size (n) = 150 students

Sample mean (x) = 2.86

Population standard deviation (σ) = 0.78

Confidence level = 98%

2: Find the critical z-value (z*) for a 98% confidence level

Using a z-table or calculator, you'll find that the critical z-value for a 98% confidence level is 2.33 (approximately).

3: Calculate the standard error (SE)

SE = σ / √n

SE = 0.78 / √150 ≈ 0.064

4: Calculate the margin of error (ME)

ME = z* × SE

ME = 2.33 × 0.064 ≈ 0.149

5: Construct the confidence interval

Lower limit = x - ME = 2.86 - 0.149 ≈ 2.711

Upper limit = x + ME = 2.86 + 0.149 ≈ 3.009

The 98% confidence interval is approximately (2.711, 3.009).

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(a) The ball travels approximately 11.025 meters during the time interval [2, 2.5].

(b) The average velocity over [2, 2.5] is approximately 22.05 m/s.

(c) The average velocity over [2, 2.01] is approximately 21.978 m/s.

(d) The average velocity over [2, 2.005] is approximately 21.99 m/s.

(e) The average velocity over [2, 2.001] is approximately 21.999 m/s.

(f) The average velocity over [2, 2.0001] is approximately 21.9999 m/s.

(g) The estimated instantaneous velocity at t = 2 is approximately 19.6 m/s.

(a) To find the distance traveled by the ball during the time interval [2, 2.5], we need to evaluate the distance function s(t) between these two time points:

s(t) = 4.9t²

Distance traveled during the interval [2, 2.5]:

s(2.5) - s(2) = 4.9(2.5)² - 4.9(2)² = 4.9(6.25) - 4.9(4) = 30.625 - 19.6 = 11.025 meters

Therefore, the ball travels approximately 11.025 meters during the time interval [2, 2.5].

(b) The average velocity over the interval [2, 2.5] can be calculated by dividing the change in distance by the change in time:

Average velocity = (s(2.5) - s(2)) / (2.5 - 2) = 11.025 / 0.5 = 22.05 m/s

The average velocity over [2, 2.5] is approximately 22.05 m/s.

(c) The average velocity over the interval [2, 2.01]:

Average velocity = (s(2.01) - s(2)) / (2.01 - 2) = (4.9(2.01)² - 4.9(2)²) / 0.01 ≈ 21.978 m/s

(d) The average velocity over the interval [2, 2.005]:

Average velocity = (s(2.005) - s(2)) / (2.005 - 2) = (4.9(2.005)² - 4.9(2)²) / 0.005 ≈ 21.99 m/s

(e) The average velocity over the interval [2, 2.001]:

Average velocity = (s(2.001) - s(2)) / (2.001 - 2) = (4.9(2.001)² - 4.9(2)²) / 0.001 ≈ 21.999 m/s

(f) The average velocity over the interval [2, 2.0001]:

Average velocity = (s(2.0001) - s(2)) / (2.0001 - 2) = (4.9(2.0001)² - 4.9(2)²) / 0.0001 ≈ 21.9999 m/s

(g) To estimate the instantaneous velocity at t = 2, we can calculate the derivative of the distance function with respect to time:

v(t) = ds(t)/dt = d(4.9t²)/dt = 9.8t

Substituting t = 2 into the derivative:

v(2) = 9.8(2) = 19.6 m/s

Therefore, the estimated instantaneous velocity at t = 2 is approximately 19.6 m/s.

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Answer:

n+5

Step-by-step explanation:

Answer:

n + 5 or 5 + n

Step-by-step explanation:

add 5 to n, tanya's current age, to find how old she'll be in 5 years.

since the variable n is not defined, the answer cannot be simplified further than n + 5.

if n had been defined, you would be able to figure out her exact age after 5 years, which would be the fully simplified answer. for example, if n were to equal 10, then tanya would currently be 10 years old. by plugging in 10 for n in n + 5, you would figure out that in 5 years (aka 10 + 5) tanya would be 15.

i hope this helped! have a great day <3

Answer:

Step-by-step explanation:

The study found that naturopathic treatment is more effective in reducing anxiety scores than standard psychotherapy.

In the given study, Cooley et al. (2009) randomly assigned two treatments (naturopathic or standard psychotherapy) to 81 individuals with anxiety. The study aimed to compare the effect of two different treatments (explanatory variable) on the anxiety scores of individuals (response variable). The study found that the naturopathic treatment reduced anxiety scores by 57% on average compared to 31% in the standard psychotherapy group. Therefore, the explanatory variable in this study is the type of treatment received by individuals with anxiety, which was either naturopathic or standard psychotherapy.

In Cooley et al. (2009) study, the explanatory variable was the type of treatment received by individuals with anxiety, which was either naturopathic or standard psychotherapy. The study found that naturopathic treatment is more effective in reducing anxiety scores than standard psychotherapy.

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The value of x on the number line is 1/24.

In Geometry, a number line simply refers to a type of graph that is usually composed of a graduated straight line, which typically comprises both negative and positive numerical values (numbers) that are located at equal intervals along its length.

Assuming the variable x represent each interval on the number line.

In this scenario and exercise, we would determine the solution for the given scenario by solving for x as follows;

3/8 + 3x = 1/2

3x = 1/2 - 3/8

3x = 1/8

24x = 1

x = 1/24

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11.5 and 15 are the values that are part of the solution set of the inequality.

Inequality is defined as relationship between non-equal numbers or expressions. The solution of an inequality is the set of values that satisfies the given inequality.

To determine the solution set of the given inequality, isolate the variable to one side and simplify.

-4x + 24 < -2x + 2

-4x + 2x < -24 + 2

-2x < -22

22 < 2x

11 < x

Hence, the solution set of the given inequality is the set of numbers greater than 11. Among the given choices, 11.5 and 15 are both greater than 11.

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Less than 0.03% of IQ scores are at least 84, given a bell-shaped distribution with a mean of 10 and a standard deviation of 16.

The empirical rule is a statistical rule stating that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% of the data falls within two standard deviations of the mean, and 99.7% of the data falls within three standard deviations of the mean.

In this case, we know that the mean of the IQ scores is 10 and the standard deviation is 16. To find the percentage of IQ scores that are at least 84, we need to calculate how many standard deviations away from the mean 84 is.

To do this, we can use the formula:

z = (x - μ) / σ

Where:
z = number of standard deviations away from the mean
x = IQ score we are interested in (in this case, 84)
μ = mean of the distribution (10)
σ = standard deviation of the distribution (16)

Plugging in the numbers, we get:

z = (84 - 10) / 16
z = 4.00

This means that 84 is four standard deviations away from the mean. According to the empirical rule, only 0.03% of the data falls beyond three standard deviations from the mean. Therefore, we can estimate that the percentage of IQ scores that are at least 84 is less than 0.03%.

In conclusion, using the empirical rule, we can estimate that less than 0.03% of IQ scores are at least 84, given a bell-shaped distribution with a mean of 10 and a standard deviation of 16.

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You need to multiply one side of an equality by ten and divide the other side by ten.

Divide by ten.

To maintain equality, you need to multiply one side of an equality by ten and divide the other side by ten.

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If i multiply one side of an equality by ten, to maintain the equality,  i have to divide the other side  by ten. o

When you multiply one side of an equality by ten, you are effectively scaling that side by a factor of ten. In order to maintain the equality, you need to apply the same scaling factor to the other side by dividing it by ten. This ensures that the relative relationship between the two sides remains unchanged, and the equality is preserved.

Therefore, to maintain equality, you need to multiply one side of an equality by ten and divide the other side by ten.

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The answer is option d. -1.865, as it is the value that satisfies P(Z ≤ b) = 0.0311. The other options (-1.87, -1.86, -1.8) do not correspond to the given cumulative probability.

In this scenario, P(Z ≤ b) represents the cumulative probability of a standard normal distribution up to the value of b. To find the corresponding value of b, we need to find the z-score that corresponds to a cumulative probability of 0.0311.

By looking up the z-table or using a statistical calculator, we can find that the z-score corresponding to a cumulative probability of 0.0311 is approximately -1.865.

Therefore, the answer is option d. -1.865, as it is the value that satisfies P(Z ≤ b) = 0.0311. The other options (-1.87, -1.86, -1.8) do not correspond to the given cumulative probability.

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Answer:64 students

Step-by-step explanation:

using the empirical rule, we know that 34% of a normal distribunion is below the mean but above 1 standard deviation. This means that 16% of the students enter before 9:55. Take 16% of 400 and you get the amount of students in before 9:55

Answer:

2.6 kilometers

Step-by-step explanation:

To find the circumference of a circle, we can use the formula:

Circumference = π * diameter

Given that the diameter of the volcanic crater is 840 meters, we can substitute this value into the formula:

Circumference = π * 840

Using the approximate value of π as 3.14159, we can calculate the circumference:

Circumference = 3.14159 * 840

Circumference ≈ 2643.1796 meters

To convert the circumference to kilometers, we divide the value by 1000:

Circumference in kilometers = 2643.1796 / 1000

Circumference ≈ 2.6432 kilometers

Therefore, the circumference of the rim of the volcanic crater is approximately 2.6 kilometers (rounded to 1 decimal place).

The admissions clerk at Tops Hospital is responsible for entering patient registration information into a computerized system, which creates an admission log as well as daily census summaries. The computerized system likely includes fields for various patient details, such as their name, date of birth, address, contact information, insurance details, reason for admission, attending physician, admission date, and other relevant information.

By accurately inputting this data into the system, the admissions clerk helps maintain an up-to-date record of all patients admitted to the hospital. This information is crucial for managing patient care, tracking occupancy levels, coordinating with medical staff, billing and insurance purposes, and overall hospital administration.

It is essential for the admissions clerk to be diligent and accurate in data entry to ensure that the information is reliable and accessible for various hospital departments and personnel. Mistakes or inaccuracies in data entry can lead to issues in patient care, billing disputes, or other administrative problems.

In conclusion, the admissions clerk's role in entering patient registration information into the computerized system plays a crucial part in maintaining accurate records and facilitating smooth hospital operations.

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Answer:

ASA

Step-by-step explanation

They have a congruent angle at the top of the triangle and they both have a right angle at the bottom. They share the same side, so this is ASA.

The shape of the probability distribution for the random walk problem depends on the values of p and q. When p = q, the distribution is symmetric, while if p and q have different values, the distribution becomes asymmetric.

The shape of the probability distribution for the problem of the random walk can be determined by considering the values of p and q, where p represents the probability of moving in one direction and q represents the probability of moving in the opposite direction.
(a) In this case, we are given that p = q = 1/2, which means that there is an equal probability of moving in either direction.
When p = q = 1/2, the probability distribution for the random walk problem will have a symmetric shape. This means that the probabilities of moving to the left and the right are the same. For example, if we start at position 0 and take 20 steps, the probability of ending up at position +10 will be the same as the probability of ending up at position -10.
It is important to note that the specific values of p and q do not affect the shape of the distribution. As long as p = q, the distribution will be symmetric.

(b) Now, let's consider a different scenario where p = 0.6 and q = 0.4. In this case, the probability of moving in one direction is greater than the probability of moving in the opposite direction. This will result in an asymmetric probability distribution.
For example, if we start at position 0 and take 20 steps, the probability of ending up in a positive position will be higher than the probability of ending up in a negative position. The distribution will be skewed towards the positive position.

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Answer:

39 is sydney age

39 +39 is 78 and they said two times

Answer:

A. Jorge distributed incorrectly.

Step-by-step explanation:

4x - (x + 20) + 6 = 2(3x + 8)

4x - x - 20 + 6 = 6x + 16

3x - 14 = 6x + 16

3x - 6x = 16 + 14

-3x = 30

x = -10

For Step 1 of Jorge's work, he writes "4x - x + 2 + 6 = 6x + 16", instead of "4x - x - 20 + 6 = 6x + 16". That is the error that messes up the rest of his calculations.

What he did wrong does not apply to addition, subtraction, multiplication, or division, so we can eliminate choices C and D. Jorge isn't combining like terms, either, so we can eliminate choice B. What Jorge did wrong was that he distributed incorrectly, so that is your answer: A. Jorge distributed incorrectly.

Hope this helps!

Answer:

A is correct and thank you to the other person who answered i didn’t fail

Step-by-step explanation:

just took the quiz on edge

Answer:

It depends on the type of function, but essentially the process is the same

Step-by-step explanation:

You gather up all of the y values and x values and plot them onto a coordinate grid. If you are using a calculator, go to the "y=" button and input the function and then hit "graph"

The point estimate that can be used to estimate the true mean population is 11.97 inches.

To find the point estimate that can be used to estimate the true population mean, we need to take the sample mean of the given observations. The formula for the sample mean is:

Mod(X)= (Σx) / n

where Mod(X)  is the sample mean, Σx is the sum of all the observations, and n is the size.

Using the given observations, we can calculate the sample mean as follows:

Mod(X) = (11.3 + 10.7 + 12.4 + 15.2 + 10.1 + 12.1 + 16.2 + 10.5 + 11.4 + 11.0 + 10.7 + 12.0) / 12

Mod(X) = 11.97

Therefore, the point estimate that can be used to estimate the true mean population is 11.97 inches.

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a. The estimated value for Az is Az ≈ 0.06 (rounded to two decimal places). The actual value of Az is Az = 4.0601 (rounded to four decimal places).

a) Using differentials, we can estimate Az for the given values. The function is defined as f(x, y) = x² + y. To estimate Az, we need to calculate the partial derivatives ∂f/∂x and ∂f/∂y and substitute the given values into the equation:

∂f/∂x = 2x

∂f/∂y = 1

Substituting x = 2, y = 4, Ax = 0.01, and Ay = 0.02 into the partial derivatives, we have:

∂f/∂x = 2(2) = 4

∂f/∂y = 1

Now, we can estimate Az using the formula for differentials:

Az ≈ (∂f/∂x)Ax + (∂f/∂y)Ay

≈ 4(0.01) + 1(0.02)

≈ 0.04 + 0.02

≈ 0.06

Therefore, the estimated value for Az is Az ≈ 0.06 (rounded to two decimal places).

b) To find the actual value of Az, we can evaluate f(x + Ax, y + Ay) - f(x, y) using the given values. Let's substitute x = 2, y = 4, Ax = 0.01, and Ay = 0.02 into the equation:

f(x + Ax, y + Ay) - f(x, y)

= f(2 + 0.01, 4 + 0.02) - f(2, 4)

= f(2.01, 4.02) - f(2, 4)

= (2.01)² + 4.02 - (2)² - 4

= 4.0401 + 4.02 - 4 - 4

= 4.0601

Therefore, the actual value of Az is Az = 4.0601 (rounded to four decimal places).

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Answer:

Step-by-step explanation:

it woulkd be 200 gallons

Answer:

Step-by-step explanation:

ok. you said 2000 and 2500 so I'll just solve for both.

this is very simple, mis/mia wants to earn 2000/2500 so let's solve

this can be done two ways. an equation way, or a dividing way. I personally like the dividing way.

2000 divided by 55= 36.36-- so she will have to tune up 37 bicycles

2500 divided by 55= 45.45-- so she will have to tune 46 bicycles. this is because 46 bicycles, times the amount of money == just a little over 2500 so she has reached  her goal

Answer:

3/4 cup

Step-by-step explanation:

The cartesian vector form of \(F\) is \(F = (-31cos(\alpha )i + 102sin(\alpha )j)\). We call x + yi the Cartesian form for a complex number.

Given that \(i,j,p\) and \(q\) are unit vectors and the angle \(\alpha = 222\)°, we can express the cartesian vector form of \(F\) as \(F = (-31cos(\alpha )i + 102sin(\alpha )j)\).

To calculate the components of \(F\) , we use the trigonometric functions \(cos(\alpha )\) and \(sin(\alpha )\) with the given angle \(\alpha = 222\)°.

\(cos(222) = -0.766\\sin(222) = -0.643\)

Substituting these values into the cartesian vector form, we have:

\(F = (-31cos(222)i + 102sin(222)j)\\F = (-31 * -0.766i + 102*-0.643j)\\F = (23.746i - 65.586j)\)

Therefore, the cartesian vector form of \(F\) is \(F = (23.746i - 65.586j)\).

The cartesian vector form of \(F = (23.746i - 65.586j)\)

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