A local college recorded the number of students who registered for each class offered during the first summer session. The data is presented in the box-and-whisker plot shown. Which is the range of the number of students per class for the top 25% of the classes?

Answer:

The answer is 13.25 I'm so sorry if its incorrect please let me know so I can fix it

answer:

x+10

Step-by-step explanation:

Subtract

5

x

from

6

x

=

x

+

10

Answer:

its 12084

Step-by-step explanation:

on my test

Variance is the measurement of the spread between numbers in a given set of data.

The variance for the set is 12083.929

It is the measurement of the spread between numbers in a given set of data.

We have,

3, 33, 303, 233, 3, 73, 83, 63

The formula to find variance:

Find the means of the set of data.

Find the deviation of the set of data from the mean.

Find the sum of the squares of the mean deviations.

Divide the sum of the squares of the mean deviations by (n-1)

where n is the number of data in the set.

The mean:

= (3 + 33 + 303 + 233 + 3 + 73 + 83 + 63) / 8

= 794/8

= 99.25

Deviation from the mean:

3 - 99.25 = -96.25

33 - 99.25 = -66.25

303 - 99.25 = 203.75

3 - 99.24 = -96.25

73 - 99.25 = -26.25

83 - 99.25 = -16.25

63 - 99.25 = -36.25

The sum of the squares of Mean deviation:

= 9264 + 4389 + 41514 + 9264 + 689 + 264 + 1314

= 84587.5

The variance:

= 84587.5 ÷ (8 - 1)

= 84587.5 / 7
= 12083.929

Thus,

The variance for the set is 12083.929

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Answer:

a² + b² = 20

Step-by-step explanation:

Given

(a - b) = 4 ← square both sides

(a - b)² = 4²

a² - 2ab + b² = 16 ← substitute ab = 2

a² - 2(2) + b² = 16

a² - 4 + b² = 16 ( add 4 to both sides )

a² + b² = 20

The given problem involves Simple Single Server queuing model.In the given problem, a vending machine at City Airport dispenses hot coffee, hot chocolate, or hot tea, in a constant service time of 20 seconds. Customers arrive at the vending machine at a mean rate of 60 per hour (Poisson distributed).

The operating characteristics of this system can be determined by using the following formulas:Average Number of Customers in the System, L = λWwhere, λ= Average arrival rateW= Average waiting timeAverage Waiting Time in the System, W = L/ λProbability of Zero Customers in the System, P0 = 1 - λ/μwhere, μ= Service rateThe given problem can be solved as follows:Given that, λ = 60 per hourSo, the average arrival rate is λ = 60/hour. We know that the exponential distribution (which is a Poisson process) governs the time between arrivals. Therefore, the mean time between arrivals is 1/λ = 1/60 hours. Therefore, the rate of customer arrivals can be calculated as:μ = 1/20 secondsTherefore, the rate of service is μ = 3/hour.

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Answer:

246???????

Step-by-step explanation:

Answer:

Step-by-step explanation:

I am not sure what your first inequality is saying y≤2x +7 or y≥2x+7

-the equation y> -3x-2 , has a negative slope m= -3 (the line is going down from left to right if is a negative slope) and it has to be a dotted line( <, or > is a dotted line, ≤, or ≥ is a solid line) so the answer must be either A or D

-if the second equation is y≤2x +7 then the answer is D because y has to be less than 2x+7 the area under the line will be include in the solution

--if the second equation is y≤2x +7 then the answer is A because y has to be greater than 2x+7 the area above the line will be include in the solution

Answer:

1 4/5

Step-by-step explanation:

2x+7>-3x-2

2x+3x>-2-7

5x/5>-9/5

=1 4/5

Thanks Hope It Help

The value of x in the domain of f(x) is x = 10.option (A)

To find the domain of the function f(x) = √(x - 8), we need to consider the values of x for which the expression under the square root is non-negative.

That is, x - 8 ≥ 0

Simplifying, we get x ≥ 8

Therefore, any value of x that is greater than or equal to 8 is in the domain of the function.

Out of the given options, only option A. x = 10 satisfies this condition.

So, the value of x in the domain of f(x) is x = 10.

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a) The Beta distribution that would be used to model p, the true defect rate is Beta(2, 8).

(b) Using the distribution P(.15 ≤p ≤.25) is 0.086.

(c) The new Beta distribution that you would use to model p is Beta(3, 17).

(d) Using the new distribution P(.15 ≤p ≤.25) is 0.004.

(a) The Beta distribution that we would use to model p is Beta(α, β), where α is the number of defective parts found in the sample and β is the number of working parts found in the sample. In this case, α = 2 and β = 8, so the Beta distribution is Beta(2, 8).

(b) Using the Beta(2, 8) distribution, we want to find P(.15 ≤p ≤.25). This is equivalent to finding the probability that p falls between 0.15 and 0.25. We can use a Beta distribution calculator or software to find this probability, which is approximately 0.086.

(c) To find the new Beta distribution, we need to combine the two samples. We now have a total of 3 defective parts and 17 working parts. Therefore, the new Beta distribution is Beta(3, 17).

(d) Using the Beta(3, 17) distribution, we want to find P(.15 ≤p ≤.25). Again, we can use a Beta distribution calculator or software to find this probability, which is approximately 0.004. This probability is smaller than the one we found in part (b) because the second sample had a lower proportion of defective parts, which reduced our uncertainty about the true defect rate.

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Answer:

15mm

Step-by-step explanation:

Here, Pythagoras Theorem will be used, which states that,

(BASE)² + (HEIGHT)² = (HYPOTENUSE)²

Putting the values accordingly,

(17)² = (8)² + (x)²

(x)² = (17)² - (8)²

(x)² = 225

x = 15 mm

Hope it helps :)

Answer:

15mm

Step-by-step explanation:

Hypotenuse of a triangle^2 = a^2 + b^2

=> 17^2 mm = 8^2mm + x^2mm

=> 289mm = 64mm + x^2mm

=> 289mm - 64mm = x^2mm

=> 225mm = x^2mm

=> √225mm = x mm

=> 15mm = x

Hope you understood!!

Answer: 283

Step-by-step explanation:

To find the median, you have to first arrange the figures in the distribution in ascending order:

210, 249, 316, 443

As this is an even distribution, the Median will be found by adding up the second and third numbers and then dividing by 2:

= (249 + 316) / 2

= 283

The measure of the two angles will be x > 25° and y = 180° - x°.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

The two lines are parallel and the third line is a transversal line.

If one angle is greater than 25°. Then the other angle is given as,

Let the angles be 'x' and 'y'. Then angles are supplementary angles. Then the inequality is given as,

x > 25°               ...1

x + y = 180°

y = 180° - x       ...2

From equations 1 and 2, then we have

y = 180° - x

The measure of the two angles will be x > 25° and y = 180° - x°.

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Answer:

-10

Step-by-step explanation:

Answer: 3x

verry eazy just subtract and keep the x

If the students that stated they would be going to Camp Redwood, 20 percentage did not go to camp and the students that stated they would be going to Camp Kern, 15 percentage  did not go to camp, then 51 more students went to camp kern than camp redwood

The total number of students in Camp redwood =170

Number of students who didn't  attend the camp redwood = 170×(20/100)

=34 students

Number of students who went to camp redwood =170-34

=136  students

Total number of students in Kern camp = 220

Number of students who didn't  attend the camp Kern=220×(15/100)

=33 students

Number of students who went to camp kern =220-33

=187 students

How many more students went camp Kern than Camp Redwood= 187-136

=51

Hence, 51 more students went to camp kern than camp redwood

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In a population growth model for rabbits, foxes, and humans, the sum norm of the coefficient matrix is 4.5 and the max norm is 4.4. Using these norms, we can bound the size of the population vector after one period.

(a) To find the coefficient matrix A, we identify the coefficients of the variables R, F, and H in the given model equations. Once we have A, we can calculate its sum norm by adding up the absolute values of its elements and its max norm by taking the maximum absolute value among its elements. (b) Given the population vector p = [10, 10, 10], we can calculate p'Ap by multiplying p' (transpose of p) with A and then with p. The resulting value will provide the bounds for the size of p'Ap in both sum and max norms. Comparing this value with the norm bounds will indicate how close they are. (c) To determine the sum norm bound for the population vector after four periods, p(4), we need to multiply A by itself four times and calculate the sum of the absolute values of its elements. This sum will give us the desired sum norm bound.

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Answer:

15.26

Step-by-step explanation:

By using a^2+b^2=c^2, we can plot the numbers into the equation, 8^2+13^2=c^2. Then answering the exponents, it will equal 64+169=c^2. Add that together to get 233=c. Lastly, we have to square-root 233, which equals 15.26. Hope this helped!

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

850 ÷ 2 = 425

The amount each person got is 425.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The total amount = 850

The number of people to share = 2

Now,

The amount each got.

= 850/2

= 425

Thus,

The amount each person got is 425.

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Answer:

not sure lol

Step-by-step explanation:

To meet the​ recommendation, the ramp needs to have a horizontal distance of at least 16 feet. The ramp has a horizontal distance of 17.9 feet.

If the ramp has a horizontal distance of 17.9 feet, it meets the recommended minimum distance of 16 feet for a ramp with a maximum slope of 1:12, as per the ADA Accessibility Guidelines.

It's important to note that the slope of the ramp should also be taken into consideration to ensure that it is safe and easy to use for individuals with disabilities. If the ramp's slope is too steep or too shallow, it may not meet accessibility standards and could pose a hazard to users.

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Answer:

15

Step-by-step explanation:

mean means add all the numbers and divide them by how many there are

plot 1: 63 divided by 9 equals 7

plot 2: 330 divided by 15 equals 22

so now we need to subtract 22 minus 7 equals 15

hope this helps

Answer:

15

Step-by-step explanation: you have to add all of the numbers and then divide the answer by the number of numers you added

p → q ∨ r and p ∧ ~q → r are not logically equivalent based on our truth table analysis.

To determine if two statements are logically equivalent, we can use truth tables. A truth table is a table that lists all possible combinations of truth values for the propositions in a logical formula and the resulting truth value for the formula.

The first statement is: p → q ∨ r

The second statement is: p ∧ ~q → r

We can construct the truth tables for each statement and compare the resulting truth values.

Here's the truth table for the first statement:

p | q | r | q ∨ r | p → (q ∨ r)

T | T | T | T | T

T | T | F | T | T

T | F | T | T | T

T | F | F | F | T

F | T | T | T | T

F | T | F | T | T

F | F | T | T | T

F | F | F | F | T

Here's the truth table for the second statement:

p | q | ~q | p ∧ ~q | p ∧ ~q → r

T | T | F | F | T

T | F | T | T | T

F | T | F | F | T

F | F | T | F | T

Comparing the truth tables, we can see that the truth values for the two statements are not the same for all combinations of truth values for p, q, and r. Hence, the given two statements are not logically equivalent.

In conclusion, p → q ∨ r and p ∧ ~q → r are not logically equivalent based on our truth table analysis.

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Answer:

Factor. I'm sorry for the bad handwriting

Correct answer is C) none

I did the assignment, the other answer is incorrect.

The general form of an equation of a line is;

y = mx + b

You can obtain the equation of the given line by calculating the slope m and the y-intercept.

You use the following formula for the slope:

where (x1,y1) and (x2,y2) are two points of the line. You can observe that two pointsof the line are (0,-2) and (4,0).

You replace the previous coordinates into the formula for m:

Next, you use the same formula for m to obtain the y-intercep b. You proceed as follow:

where (x1,y1) is a point of the line, if you use the point (0,-2), you have:

Hence, the equation of the line of the graph is:

y = 1/3x - 2

The transformation on a line such that a line is obtained which is pependicular to previous line is possible only when it is reflected through y = x axis. This can be understood as,

When line is reflected about x-axis, the x coordinate remain same where as y-coordinate changes in opposite sign with same magnitude. So reflection of line x = 3 about x axis remain same.

Simillarly reflection of line x = 3 about x = 1 remain same as x = 3.

The reflection of line x = 3 about y-axis results n a parallel line passing through x = -3.

So answer is reflection across y = x.

For the provided circle that passes through point A and has point C as center, the segment AB is a diameter, and any inscribed angle formed by chords on the circle that include the endpoints of AB will be a right angle (90 degrees).

In the provided scenario, we have a circle with point C as its center, which also passes through point A. We are interested in analyzing the properties of segment AB, the inscribed angle, and their relationship to the circle.

1. AB:

Since point C is the midpoint of segment AB, it implies that segment AB is a diameter of the circle.

This is because the diameter of a circle passes through the center and divides the circle into two equal halves.

Therefore, AB has the special property of being a diameter in this particular circle.

2. Inscribed Angle:

An inscribed angle is an angle formed by two chords of a circle that intersect on the circle itself.

In this case, segment AB is a diameter, and any angle formed by two chords that intersect on the circle and include the endpoints of a diameter is a right angle (90 degrees).

The reasoning behind this is based on the property of angles inscribed in a semicircle; any angle inscribed in a semicircle is a right angle.

Since segment AB is a diameter and divides the circle into two semicircles, any angle formed by chords on the circle that include the endpoints of AB will be a right angle.

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