7. outliers are defined as data values that are above the right fence q3 1.5(iqr) or below the left fence q1 - 1.5(iqr), where iqr is the interquartile range. find the probability that when a value is randomly selected from a normal distribution, it will be counted as an outlier. Round your answers to 3 decimal places. Hint. Consider the standard normal distribution. Find P(Z> right fence or Z< left fence).

The distance between Town L and Town B is 9 miles, calculated using the distance formula and Law of Sines.

First, let's calculate the distance between Town N and Town L. We know that Town L is 13 miles due south of Town N. We can calculate this distance using trigonometry. We can use the distance formula, \(d = sqrt((x2 - x1)^2 + (y2 - y1)^2)\), to calculate the distance. The x-coordinates for Town N and Town L are both 0, since Town L is due south of Town N. The y-coordinate for Town N is 0 and the y-coordinate for Town L is -13 miles. Plugging these values into the distance formula, we get

\(d = sqrt((0 - 0)^2 + (-13 - 0)^2) = 13 miles.\)

Now, let's calculate the distance between Town L and Town B. We know that Town B is due east of Town L and S 65° E from Town N. We can use the Law of Sines to calculate the angle between Town L and Town B.

The Law of Sines states that a/sin(A) = b/sin(B) = c/sin(C), where a, b, and c are the sides of a triangle and A, B, and C are the angles. We know that Town B is due east of Town L, so the angle between Town L and Town B is 90°. We also know that Town B is S 65° E from Town N, so the angle between Town N and Town B is 65°. Plugging these values into the Law of Sines, we get

13/sin(90) = x/sin(65), where x is the distance between Town L and Town B. Solving for x, we get

x = 13sin(65)/sin(90) = 8.9 miles.

Rounding to the nearest whole number, the distance between Town L and Town B is 9 miles.

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Answer:

3 cups of sugar and 6 cups of sugar

PLZ MARK BRAINLIEST!!!

Step-by-step explanation:

Three cups of sugar and six cups of flour are required to bake the cake, if for cake calls for a ratio of 1 cup of sugar for every 2 cups of flour.

It is the basic arithmetic operation, in which you are separating the number into some parts.

Given data:

A recipe for cake calls for a ratio of 1 cup of sugar for every 2 cups of flour.

Calculate the ratio for 1 cake

1 cup of sugar / 2 cups of flour

Calculate the sugar and flour  for 3 cake

1 cup of sugar / 2 cups of flour × 3

3 cups of sugar / 6  cups of flour

Therefore, 3 cups of sugar and 6  cups of flour are required to bake the cake if for cake calls for a ratio of 1 cup of sugar for every 2 cups of flour.

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Answer:

\(\huge \boxed{\mathrm{500 \ miles}}\)

Step-by-step explanation:

A right triangle is formed.

300 miles and 400 miles are the legs of the triangle.

We can apply Pythagorean theorem.

\(c=\sqrt{300^2 +400^2 }\)

\(c=\sqrt{90000 +160000}\)

\(c=\sqrt{250000}\)

\(c=500\)

Answer: less

Step-by-step explanation:

Answer:     The answer is less than  

because negative are always less than positives

Step-by-step explanation:

I hope this helps

Answer:The number of minutes m you spend in line is 5 times the number of people p in line. Identify the independent and dependent variables. Then write and graph a function that describes the relationship between p and m.

Step-by-step explanation:

Answer:

D) \(1\frac{21}{40}m^2\)

Step-by-step explanation:

We can first change the area of his garden into an improper fraction:

\(7\frac{5}{8} m^2 = \frac{61}{8}m^2\)

Since Eric wants to split his garden into five equal sections, we divide the area of his garden by \(5\):

\(\frac{61}{8}\div 5 = \frac{61}{40}\)

\(=1\frac{21}{40}m^2\)

∴ The area of each new section is \(1\frac{21}{40}m^2\)

Hope this helps :)

The value of the iterated integral  ∫85∫√x12ye−xdydx is

-\(4e^(-5) + 7e^(-8)\) where the inner integral is first integrated with respect to y.

We are inquiring to assess the iterated integral:

\(∫85∫√x12ye−xdydx\)

We are able to coordinate the internal integral, to begin with regard to y:

\(∫√x12ye−xdy = (-1/2)e^(-x) y√x1/2 | from y = to y = √x^1/2\)

\(= (-1/2)e^(-x) (√x^1/2)^2 - (-1/2)e^(-x) (0)\)

\(= (-1/2)x e^(-x)\)

Substituting this into the first necessity, we get:

\(∫85∫√x12ye−xdydx = ∫85(-1/2)x e^(-x)dx\)

To assess this necessarily, we utilize integration by parts with u = x and \(dv = e^(-x) dx, so that du/dx = 1 and v = -e^(-x):\)

\(∫85(-1/2)x e^(-x)dx = (-1/2)xe^(-x) + ∫85(1/2)e^(-x)dx\)

\(= (-1/2)xe^(-x) - (1/2)e^(-x) | from x = 8 to x = 5\)

\(= (-1/2)(8e^(-8) - 5e^(-5)) - (1/2)(e^(-8) - e^(-5))\)

\(= -4e^(-5) + 7e^(-8)\)

therefore, the value of the iterated integral is \(-4e^(-5) + 7e^(-8).\)

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\(18x \geqslant 566 - 371 \\ 18x \geqslant 195 \\ \frac{18x}{18} \geqslant \frac{195}{18} \\ x \geqslant 10.8333333333\)

YOU CAN EVEN WRITE IT IN THE FRACTION FORM .

BE REMINDED THAT <> CHANGE SIGN WHEN YOU DIVIDE OR MULTIPLY A NEGATIVE NUMBER ONLY.

HOPE THIS HELPS

Answer:

Step-by-step explanation:

18x ≥ 195 if equal to the answer is 10.83(3)

Answer:

\(g(x)=|x+8|-2\)

Step-by-step explanation:

The vertex is at (-8, 2), so g(x)=a|x+8|+2.

Considering g(-6),

\(g(-6)=4=a|-6+8|+2 \\ \\ 2=2a \\ \\ a=1 \\ \\ \therefore g(x)=|x+8|-2\)

The right response is that the two linear equation never intersect , because the graph of these two linear equation will be two parallel lines.

How many types of solution are there for two linear equations ?

There are 2 types of solution :
Consistent :

A consistent system is said to be an independent system if it has a single solution.

A consistent system is said to be a dependent system if the equations have the same slope and the same y-intercepts. In other words, the lines coincide, so the equations represent the same line. Each point on the line represents a pair of coordinates that fits the system. So there are an infinite number of solutions.

Non-consistent :

Another type of system of linear equations is the inconsistent system, in which the equations represent two parallel lines. The lines have the same slope and different y-intercepts. There are no common points for both lines; therefore, there is no solution to the system and if we draw the graph of these equations then the graphs of both equation becomes parallel to each other.

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The two linear equations never intersect.

When a system of two linear equations in two variables has no solution, it means that there is no set of values for the variables that satisfies both equations simultaneously. Geometrically, this corresponds to the two lines represented by the equations being parallel. Since parallel lines never intersect, the statement "The two linear equations never intersect" accurately describes the situation.

If the two linear equations were graphed on a coordinate plane, they would appear as two distinct lines that run parallel to each other without ever crossing or intersecting. This indicates that there is no common point of intersection between the lines, and therefore no solution exists for the system of equations.

It is important to note that this scenario is different from the case where the two linear equations represent the same line. In that case, the equations would be equivalent, and every point on the line would satisfy both equations. However, when there is no solution, it means that the lines do not share any common points and never intersect.

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Answer:

A

Step-by-step explanation:

according to my answer this is wrond because you are wrong

Step-by-step explanation:

palhschal pagal

Answer:

Step-by-step explanation:

Considers the function h defined by :

h(x) = 1/g(x)

g is an even function means g(-x) = g(x)

then

h(-x) = 1/g(-x) = 1/g(x) = h(x)

Therefore

h is an even function.

The sum of the second and third terms of the arithmetic progression is equal to 0.

Arithmetic progressions are sets whose terms are generated by expressions of the form:

y = a + r · (n - 1)

y = r · n + (a - r)

Where:

The sum of the second and third elements is:

n = 2

y = 2 · 2 - 5

y = - 1

n = 3

y = 2 · 3 - 5

y = 1

S = - 1 + 1

S = 0

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Answer:

0.25

Step-by-step explanation:

1/2÷ 2 is less than 1

Answer:

Greater

Step-by-step explanation:

It is greater beacause 1/2 ÷ 2 is 0.25. However, 1 (1.00) is greater than 0.25 because 0.25 is basically 25/100 and 1 is 1 (whole

True. An individual can assign a subjective probability to an event based on their knowledge and personal beliefs about the event.

Subjective probability is a measure of an individual's degree of belief or confidence in the likelihood of an event occurring, based on their subjective assessment of the available information.

Subjective probabilities can be influenced by various factors, including personal experiences, biases, and individual judgment. They are subjective in nature because they are based on an individual's own perception and interpretation of the event, rather than being derived from objective or empirical data.

Subjective probabilities are often used in decision-making under uncertainty, where individuals assess the likelihood of different outcomes based on their subjective understanding of the situation. While subjective probabilities may vary among individuals, they play an important role in decision-making processes, allowing individuals to make informed judgments and choices based on their personal knowledge and beliefs.

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Option A

Step-by-step explanation:

RATE AS BRAINLIEST

Answer:

Step-by-step explanation:

9x^2 - 64 = (3x - 8)(3x + 8)

3x - 8 is a factor

Reducing the variation of a process will increase the width of a given confidence interval relative to that process.

Option C is correct .

In statistics, the probability that a population parameter will fall between a set of values for a predetermined percentage of the time is referred to as a confidence interval. By employing the dimensions of values used in the computation of the intervals, it is simple to establish the link between components of two confidence intervals. The width is a fundamental component in these range estimates, which are affected by sample size, etc.

Hence, reducing the variation of a process will increase the width of a given confidence interval relative to that process is false.

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Answer:

64%

Step-by-step explanation:

16/25 = 0.64

0.64*100 = 64

64%

The value of t that satisfies the equation 150 = 1 + 60t - 0.25t^2 - 30 is t = 8.

To solve for t, we start with the given equation:

150 = 1 + 60t - 0.25t^2 - 30.

We can rearrange the equation to form a quadratic equation:

0.25t^2 + 60t + 1 - 180 = 0.

Simplifying further, we have:

0.25t^2 + 60t - 179 = 0.

To solve this quadratic equation, we can use the quadratic formula:

t = (-b ± √(b^2 - 4ac)) / (2a).

Plugging in the values a = 0.25, b = 60, and c = -179, we get:

t = (-60 ± √(60^2 - 4(0.25)(-179))) / (2(0.25)).

Simplifying the equation, we have:

t = (-60 ± √(3600 + 179)) / 0.5.

Calculating the discriminant, we get:

t = (-60 ± √3779) / 0.5.

After evaluating the square root, we find:

t ≈ -8.895 or t ≈ 8.895.

However, since we are looking for a time value, t cannot be negative. Therefore, the solution is t ≈ 8.

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Answer:

n<-\(\frac{3}{5}\) Hope this helped! Have a great day!

​

Step-by-step explanation:

The MCVST or MCVSD admission test is an entrance exam for students who live in New Jersey and are seeking admission to the Morris County Vocational School District. This test is designed to assess the academic abilities and potential of students.

The MCVST admission test typically includes sections in math, reading comprehension, and language skills. The math section assesses the student's understanding of mathematical concepts and problem-solving skills. The reading comprehension section evaluates the student's ability to understand and analyze written passages. The language skills section tests the student's knowledge of grammar, vocabulary, and sentence structure.

To prepare for the MCVST admission test, there are several practice tests available online. Some websites offer free practice tests specifically designed for this exam. You can search for these practice tests by using keywords like "free MCVST admission test practice" or "MCVSD practice tests."

Remember to utilize these practice tests to familiarize yourself with the types of questions and format of the MCVST admission test. This will help you feel more confident and prepared on test day.

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Answer:

81.68 mm

Step-by-step explanation:

C = πd = π · 26 ≈ 81.68141 mm

a) To find the percentage of pregnancies that should last between 26 and 275 days, we can calculate the area under the normal curve between these two values.

Using the standard normal distribution, we need to standardize the values by subtracting the mean and dividing by the standard deviation.

For 26 days:

Z = (26 - 262) / 18 = -12.222

For 275 days:

Z = (275 - 262) / 18 = 0.722

Now, we can find the corresponding probabilities using a standard normal table or a calculator.

The probability of a pregnancy lasting less than 26 days is P(Z < -12.222) which is essentially 0.

The probability of a pregnancy lasting less than 275 days is P(Z < 0.722) = 0.766.

To find the percentage between 26 and 275 days, we subtract the probability of less than 26 days from the probability of less than 275 days:

Percentage = 0.766 - 0 = 0.766 = 76.6%

Therefore, approximately 76.6% of pregnancies should last between 26 and 275 days.

b) To find the number of days for the longest 30% of all pregnancies, we need to find the corresponding Z-score for the upper 30% of the standard normal distribution.

Z(0.30) = 0.524 (approximately)

Now, we can reverse the standardization process to find the corresponding number of days:

X = Z * σ + μ

X = 0.524 * 18 + 262

X ≈ 271.43

Therefore, the longest 30% of all pregnancies should last at least approximately 271.43 days.

c) According to the Central Limit Theorem, the distribution of the sample mean will be approximately normal with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

Mean (μ) of the sample mean (y) = Mean of the population = 262 days

Standard deviation (σ) of the sample mean (y) = Standard deviation of the population / √n

σ(y) = 18 / √80 ≈ 2.015

Therefore, the mean of the distribution of the sample mean is 262 days and the standard deviation is approximately 2.015 days.

d) To find the probability that the mean duration of the patients' pregnancies will be less than 200 days, we can standardize the value using the sample mean and standard deviation:

Z = (200 - 262) / (18 / √80) ≈ -7.150

Using a standard normal table or a calculator, we find that P(Z < -7.150) is essentially 0.

Therefore, the probability of the mean duration of the patients' pregnancies being less than 200 days is very close to 0.

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Answer:

192

Step-by-step explanation:

The length is 8.3 and the width is 7.5

8.3 to the nearest whole number is 8

7.5 to the nearest whole number is 8

8 x 8 = 64

64 x 3 = 192

The whole area of the wall that Alyssa painted is 192 ft²

The area is the region bounded by the shape of an object. The space covered by the figure or any two-dimensional geometric shape, in a plane, is the area of the shape.

Given that, Alyssa paints 3 walls blue. Each of the walls is 8.3 feet tall and 7.5 feet wide.

Since, the length is 8.3 and the width is 7.5

8.3 to the nearest whole number is 8

7.5 to the nearest whole number is 8

Therefore, area = length × width

= 8 x 8 = 64 ft²

Area of 3 walls =

64 x 3 = 192 ft²

Hence, the whole area of the wall that Alyssa painted is 192 ft²

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Answer: It would be 13.0 hours.

Step-by-step explanation: It would be 13.0 hours because $11.00 times 13.0hours is $143.00 so just do 11*13 and you get 143.