Graph f(x) = -3 |X+2| +4 List the following characteristics from your graph:

a. Vertex
b. Axis of symmetry
c. Is there a minimum or maximum value? What is the value?
d. End behavior

Graph F(x) = -3 |X+2| +4 List The Following Characteristics From Your Graph:a. Vertex B. Axis Of Symmetry

Answers

Answer 1

Answer:

Axis of symmetry is the green dotted line

Graph F(x) = -3 |X+2| +4 List The Following Characteristics From Your Graph:a. Vertex B. Axis Of Symmetry

Related Questions

Slope:
Y-intercept
Equation:

Slope:Y-interceptEquation:

Answers

y-intercept: (0,60)

This is given in the table.

Slope: \(m = \dfrac{y_2 - y_1}{x_2 - x_1}\)

Using (1,50) and (2,40):

   \(m = \dfrac{40 - 50}{2-1} = \dfrac{-10}{1} = -10\)

The slope is -10.

Using the slope-intercept form (y=mx+b) and the fact that we found m=-10 and b=60 from the table, the equation is:

   y = -10x + 60

Population parameters are used to estimate sample statistics.

a. true
b. false

Answers

Population parameters are used to estimate sample statistics, and this is true.

Population parameters are used to describe the characteristics of a population, such as the mean, median, and standard deviation, and are used to make inferences about a population. Sample statistics, on the other hand, are used to describe the characteristics of a sample of a population. For example, a sample statistic could be the mean of a sample of people's heights.

To estimate sample statistics, population parameters must first be known. For example, the sample mean can be estimated using the population mean. If the population means are unknown, then the sample means can be estimated using the sample mean.

In conclusion, population parameters are used to estimate sample statistics, and this is true. Population parameters provide useful information about a population that can be used to make inferences about a sample. Knowing the population parameters allows researchers to make more accurate estimates of sample statistics, which in turn can be used to make more reliable inferences about a population.

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Tom made fruit punch for a party. He mixed 2 gallons of orange juice, 4 quarts of pineapple juice, 3 pints of cranberry juice, and 8 cups of apple juice. How many quarts did he make in all? (2 points)

Answers

Answer:

15.5 quarts

Step-by-step explanation:

1.5 +8 + 4 + 2

there is need to convert the measures that are not in quarts to quarts

1 gallon  = 4 quarts  : 2 x 4 = 8 quarts

1 cup = 0.25 quarts : 0,25 x 8 = 2 quarts

1 pint = 0.5 quarts : 0.5 x 3 = 1.5 quarts

Total quarts = 1.5 +8 + 4 + 2 = 15.5 quarts

Help please thanks pic attached

Help please thanks pic attached

Answers

It would be 4 , 8, 6

Hope this helps

Have a great day/night
answer: 4, 8, 6


hope this helps too :))

the critical ratio is the ratio of the due date to the time it takes to perform a job. a. true b. false

Answers

The correct option is B that is The ratio of a task's due date to its completion time is known as the crucial ratio is false.

Given that,

The ratio of a task's due date to its completion time is known as the crucial ratio.

We have to prove is the statement is true or false.

We know that,

CR stands for Critical Ratio refers to the rule of dispatching which determine the priority index number through dividing the time to due date which remained through expected elapsed time in order to complete the job.

This ratio is used in work priority sequencing waiting for processing at work center. It is established by formals due date divided by the aggregate shop remaining time. The ratio less than 1 are behind, greater than 1 are ahead as well as ratio of 1 is on schedule.

The formula is as:

CR stands for "Time Left Until Due Date / Remaining Processing Time."

Therefore, the correct option is B that is The ratio of a task's due date to its completion time is known as the crucial ratio is false.

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Can someone please help me this is stressing me out :(

Can someone please help me this is stressing me out :(

Answers

Answer:

use the app called socratic it's really helpful. you can download it on both appstore and play store

Step-by-step explanation:

PLEASE HELP WITH MY MATH HOMEWORK
ill give brainliest

PLEASE HELP WITH MY MATH HOMEWORKill give brainliest

Answers

Answer:

The answer is that the ball was in the air for 0.56 seconds when it was 54 feet above the ground. This was determined by using the Quadratic Formula to solve the equation 54 = -16s^2 + 96s for the variable s.

Step-by-step explanation:

To solve this equation, we can use the Quadratic Formula, which states that for a quadratic equation in the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b +/- sqrt(b^2 - 4ac)) / (2a)

In this case, a = -16, b = 96, and c = -54. Plugging these values into the Quadratic Formula, we get:

s = (-96 +/- sqrt(96^2 - 4 * -16 * -54)) / (2 * -16)

= (96 +/- sqrt(9216 + 4352)) / -32

= (96 +/- sqrt(13,568)) / -32

Since we want the time (in seconds) that the ball was in the air, we need to find the positive solution to this equation. Thus, we have:

s = (96 + sqrt(13,568)) / -32

= (96 + 120) / -32

= 0.5625 seconds

Rounding this value to the nearest hundredth of a second, we get 0.56 seconds. This means that the ball was in the air for 0.56 seconds when it was 54 feet above the ground.

To solve this equation, we used the Quadratic Formula. This method allowed us to find the time (in seconds) that the ball was in the air by solving for the value of the variable s in the given equation. This helped Vue answer his question by providing a numerical value for the amount of time that the ball was in the air when it was 54 feet above the ground.

Please help me! thank you
Suppose an object is thrown upward with initial velocity of 48 feet per second from a high of 120 feet. The height of the object t seconds after it is thrown is given by h(t)=-16t^2+48t+120. Find the average velocity from t=2 to t=4.
Type your answer as a number with no units.

Answers

The average velocity from t = 2s to t = 4s would be - 48 ft/s.

What are algebraic expressions?

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that an object is thrown upward with initial velocity of 48 feet per second from a high of 120 feet. The height of the object t seconds after it is thrown is given by h(t) = - 16t² + 48t + 120.

Average velocity

Average rate of change of velocity with time is called average velocity. Mathematically -

v{avg.} = Δx/Δt                                                         .... Eq { 1 }

Δx = x(4) - x(2)

Δx = - 16(4)² + 48(4) + 120 - {- 16(2)² + 48(2) + 120}

Δx = - 96

Δt = 4 - 2 = 2

So -

v{avg.} = Δx/Δt = -96/2 = - 48 ft/s

Therefore, the average velocity from t = 2s to t = 4s would be - 48 ft/s.

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4.Estimate 48% of 23.95
A. About $12.00
B. About $11.00
C. About $15.00
D. About $10.00

5. The bill at a restaurant is $58.50 and mrs. Johnson wants to leave a 15% tip. Approximately how much money should she leave?
A. About $15.00
B. About $9.00
C. About $6.00
D. About $11.00

Answers

I think 4 is 15.00
And 5 is 11.00

The approximated values are given as $11 and $9 respectively. The correct options for problem (4) is (B) and for (5) it is (B) as well.

What is percentage?

A percentage is a value that indicates 100th part of any quantity.

A percentage can be converted into a fraction or a decimal by dividing it by 100.

The given problems can be solved one by one as follows,

(4) The given expression is 48% of 23.95.

It can be simplified as follows,

48% of 23.95

= 48/100 × 23.95

= 1149.6/100

= 11.496

It can be approximated as 11.

(5) The amount of bill is $58.50.

The tip percent is 15%.

The amount of tip is given as,

15% of 58.50

= 15/100 × 58.50

= 877.5/100

= 8.775

It can be approximated as 9.

Hence, the estimated values for the given problems are $11 and $9 respectively.

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write 2 quadratic equations (of any form) that are not equivalent, each with a vertex of (4,5)

Answers

Answer:

\(g(x)=-x^2+8x-11\\\\f(x)=x^2-8x+21\)

Step-by-step explanation:

Generally when you're given the vertex of a quadratic, you can express it in vertex form: \(f(x)=a(x-h)^2+k\), where (h, k) is the vertex, and "a" is some constant value that determines the stretch/compression and the direction (up or down)

So we know that: (h, k) = (4, 5), meaning we can plug those values into the equation: \(f(x)=a(x-4)^2+5\)

we can change the function by changing the value of the constant "a".

we can use two arbitrary values, but in this example I'll use -1 and 1.

this gives us the following functions: \(f(x)=(x-4)^2+5\\g(x)=-(x-4)^2+5\)

these two functions are actually very similar, the only different is they're reflected across the x-axis (and some vertical shift) since the y-value is being negated, or at least part of it.

In your question it states (of any form), so I'm assuming we can leave it in vertex form, but just in case I'll expand them further into standard form

\(f(x)=(x-4)^2+5\\\\f(x)=(x-4)(x-4)+5\\\\f(x)=x(x-4)-4(x-4)+5\\\\f(x)=x^2-4x-4x+16+5\\\\f(x)=x^2-8x+21\)

We can also expand the other function similarly.

\(g(x)=-(x-4)^2+5\\\\g(x)=-[(x-4)(x-4)]+5\\\\g(x)=-[x(x-4)-4(x-4)]+5\\\\g(x)=-[x^2-4x-4x+16]+5\\\\g(x)=-[x^2-8x+16]+5\\\\g(x)=-x^2+8x-16+5\\\\g(x)=-x^2+8x-11\)

HELPP HURRY PLEASEE!!

HELPP HURRY PLEASEE!!

Answers

its (a

Answer:

because h is being multipling by πr² and if we swich v for h

h going to be at front and v dividing all the acuation

The water slides have 4 temporary employees and 36 permanent employees. What
percentage of the employees at the water slides are temporary?

Answers

well if you think of it straight the key word is percentage

any number you multiple will be out of 100

you have to multiply each other 4 and 36

4x36=144 temporary employees

help with my geometry please​

help with my geometry please

Answers

Answer:

x = 11

z = 86

Step-by-step explanation:

8x + 6 and 10x-16 are vertical angles

Vertical angles are pairs of angles that are opposite each other and have the same vertex, or point of intersection. They are formed when two lines intersect at a point, and are always congruent, or of equal measure.

To solve this equation, we need to isolate the variable x on one side of the equation. To do this, we can start by subtracting 6 from both sides of the equation:

8x + 6 - 6 = 10x - 16 - 6

8x = 10x - 22

Now we can subtract 8x from both sides of the equation:

8x - 8x = 10x - 22 - 8x

0 = 2x - 22

To solve for x, we can add 22 to both sides of the equation:

0 + 22 = 2x - 22 + 22

22 = 2x

Finally, we can divide both sides of the equation by 2 to find the value of x: 22 / 2 = 2x / 2

x = 11

Therefore, the solution to the equation is x = 11.

Now that we have x, z is a supplementary angle to 8x + 6 (or you could do 10x - 16)

Supplementary angles are pairs of angles that add up to 180 degrees. They are formed when two lines intersect at a point, and the angles formed at the intersection are supplementary.

First plug in x, 8x + 6 = 8(11) + 6 = 88 + 6 = 94

180 - 94 = z

z = 86

T/F: To get a representative sample, you must sample a large fraction of the population.

Answers

False. To obtain a representative sample, it is not necessary to sample a large fraction of the population.

The representativeness of a sample depends on its ability to accurately reflect the characteristics and variability of the population it is drawn from. The size of the sample required for representativeness is determined by the level of precision desired and the inherent variability within the population.

Sampling a large fraction of the population, also known as a census, is one way to achieve representativeness, but it is often impractical, time-consuming, and costly. Instead, researchers often use statistical techniques to select a smaller subset of the population that can still provide accurate estimates.

The key factor in obtaining a representative sample is the use of random sampling techniques, such as simple random sampling or stratified sampling, which ensure that every individual in the population has an equal chance of being included in the sample. By using appropriate sampling methods and considering the variability within the population, it is possible to obtain a representative sample without sampling a large fraction of the population.

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What is the value of 2.3 + 8 – 1/2?

a ) 10.8
b) 10.03
c) 9.8
d) 9.5

Answers

Answer:

9.8

Step-by-step explanation:

2.3 + 8 – 1/2

Rewriting the fraction as a decimal

2.3 + 8 – .5

9.8

the answer is C. 9.8

Suppose you have a job that pays $13.50 per hour and you work anywhere from 10 to 40 hours per week. a. Write an equation, with a restriction on the variable I, that gives the amount of money, y, you will earn for working 2 hours in one week. y = _____ , Preview with ____ <= x <= ____ b. Use the function rule you have written in part a. to find the y values for the given z values: x = 10, y = ___ x = 20, y= ___
x = 30, y = ____. x = 40, y = ____ c. Construct a line graph from the information found in b. 520+ -480+ 440+ 400- 360 320- 280- 240 200 160+ 120+ 80- 40+ 10 20 30 40 Clear All Draw: Line Dot Open Dot d. State the domain and range of this function. Domain: ____ <= x <= ______
Range: <= y <= _____
e. What is the minimum amount you can earn in a week with this job? You'll earn at least $ ______.
What is the maximum amount? You can earn up to $ ____.

Answers

The maximum amount you can earn is $540

a. y = 13.50x , 10 <= x <= 40
b. x = 10, y = 135; x = 20, y= 270; x = 30, y = 405; x = 40, y = 540
c. Domain: 10 <= x <= 40; Range: 0 <= y <= 540
d. The minimum amount you can earn in a week with this job is $135. The maximum amount you can earn is $540.

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3(4x+5) = 12x+15 what does it equal?

Answers

Answer: AllRealNumbers

Step-by-step explanation:

1. Distrubute: 3(4x+5)=> 12x+15

2. Simplify: 12x+15=12x+15

=> 15=15

Since it cancels out it means that x can be any real number.

Have a nice day! :D

The graph of the function f(x) = –(x + 3)(x – 1) is shown below.

On a coordinate plane, a parabola opens down. It goes through (negative 3, 0), has a vertex at (negative 1, 4), and goes through (1, 0).

Which statement about the function is true?

The function is positive for all real values of x where
x < –1.
The function is negative for all real values of x where
x < –3 and where x > 1.
The function is positive for all real values of x where
x > 0.
The function is negative for all real values of x where
x < –3 or x > –1.

Answers

Answer:

The second statement is true.

Step-by-step explanation:

Draw the corresponding parabola and use it to verify  all statements.

Answer:

The function is negative for all real values of x where

x < –3 and where x > 1.

Step-by-step explanation:

The answer above is correct.

Find the value of z that corresponds to the following: a) Area = 0.1210 b) Area = 0.9898 c) 45th percentile

Answers

a) The value of z corresponding to an area of 0.1210 can be found using statistical tables or a statistical calculator.

b) Similarly, the value of z corresponding to an area of 0.9898 can be obtained using statistical tables or a statistical calculator.

c) To find the value of z at the 45th percentile, we can use the standard normal distribution table or a statistical calculator.

a) To find the value of z corresponding to an area of 0.1210, you can use a standard normal distribution table or a statistical calculator. By looking up the area of 0.1210 in the table, you can determine the corresponding z-value. For example, if you find that the z-value for an area of 0.1210 is -1.15, then -1.15 is the value of z corresponding to the given area.

b) Similarly, to find the value of z corresponding to an area of 0.9898, you can refer to a standard normal distribution table or use a statistical calculator. Find the z-value that corresponds to the area of 0.9898. For instance, if the z-value for an area of 0.9898 is 2.32, then 2.32 is the value of z corresponding to the given area.

c) To find the value of z at the 45th percentile, you can use a standard normal distribution table or a statistical calculator. The 45th percentile corresponds to an area of 0.4500. By finding the z-value for an area of 0.4500, you can determine the value of z at the 45th percentile. For example, if the z-value for an area of 0.4500 is 0.125, then 0.125 is the value of z at the 45th percentile.

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Bacteria that cause foodborne illness multiply most abundantly between: Question 35 options: 75 and 175 degrees Fahrenheit 40 to 140 degrees Fahrenheit 200 and 300 degrees Fahrenheit 0 and 100 degrees Fahrenheit

Answers

The bacteria that cause foodborne illness multiply most abundantly between 40 and 140 degrees Fahrenheit.

Bacteria that cause foodborne illnesses grow and reproduce rapidly at temperatures between 40°F (4.4°C) and 140°F (60°C), which is known as the "Danger Zone." These temperatures allow bacteria to multiply rapidly and increase the risk of foodborne illness.

Therefore, it is important to keep food out of this temperature range as much as possible. Food should be kept below 40°F (4.4°C) or above 140°F (60°C) to reduce the risk of bacterial growth.

Proper cooking, refrigeration, and heating of food can help prevent the growth and spread of harmful bacteria.

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Ali, ben and Cathy share an amount of money in ratio 6:9:10 what fraction of the money does ben get?

Answers

Answer:

Step-by-step explanation:

Let's do an example.

60:90:100

100 plus 90 plus 60 is 250

ben gets 90 of that 250

or 9/25.

What is the name of the segment inside the large triangle?
1. Perpendicular bisector
2.Midsegment
3.Angle Bisector
4.Median​

What is the name of the segment inside the large triangle?1. Perpendicular bisector2.Midsegment3.Angle

Answers

The name of the segment inside the large triangle is called the: 3. angle bisector.

What is an Angle Bisector?

The word "bisect" means to divide into two equal halves. Therefore, an angle bisector can be defined as a line segment that divides the an angle in a triangle into two parts that are of the same angle measure.

The image shows a triangle which has a segment that divides a vertex angle into equal parts. Thus, the segment can be named as an angle bisector.

A perpendicular bisector divides a segment into two equal halves at right angle, while a midsegment joins the middle points of two sides of a triangle. The median also, is a segment that joins a vertex of a triangle to the midpoint of the side that is opposite the angle.

Therefore, we can state that the name of the segment is: 3. angle bisector.

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What is the equation of the line that passes through the point (-6,4) and has a slope of 0?

Answers

Formula to find the equation of the line using point and slope:

Slope-Intercept Form is a form that can be used to find the equation of a line using the slope of the line and the y-intercept of the point.

y = mx + c ( Slope-Intercept Form)

Given, m = 0 (slope) and c = 4 (y-intercept)

Substituting m and c in the equation, we get:

⇒ y = (0 × x) + 4

y = 4

The required equation is y = 4.

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if dy/dx = ysec^2(x) and y= 5 when x = 0, then y=?

А. e^tanx +4
B. e^tanx +5
C. 5e^tanx
D. tanx + 5
E. tanx + 5e^x

Answers

Answer:

C. \(\displaystyle y = 5e^{tan(x)}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Algebra I

FunctionsFunction Notation|Absolute Values|Anything to the 0th power is 1

Algebra II

Logarithms and Natural logsEuler's number e

Calculus

Derivatives

Derivative Notation

Trig Derivatives

Differential Equations

Separation of variablesGeneral and particular solutions

Antiderivatives - Integration

Integration Constant C

Trig Integration

Logarithmic Integration

Step-by-step explanation:

Step 1: Define

Identify

\(\displaystyle \frac{dy}{dx} = ysec^2(x)\)

x = 0, y = 5

Step 2: Rewrite Differential

Separation of variables

[Division Property of Equality] Isolate y terms together:                             \(\displaystyle \frac{1}{y}\frac{dy}{dx} = sec^2(x)\)[Multiplication Property of Equality] Isolate x terms together:                   \(\displaystyle \frac{1}{y}dy = sec^2(x)dx\)

Step 3: Find General Solution

[Equality Property] Integrate both sides:                                                     \(\displaystyle \int {\frac{1}{y}} \, dy = \int {sec^2(x)} \, dx\)[1st Integral] Integrate [Logarithmic Integration]:                                         \(\displaystyle ln|y| = \int {sec^2(x)} \, dx\)[2nd Integral] Integrate [Trig Integration]:                                                   \(\displaystyle ln|y| = tan(x) + C\)[Equality Property] e both sides:                                                                   \(\displaystyle e^{ln|y|} = e^{tan(x) + C}\)Simplify:                                                                                                         \(\displaystyle |y| = Ce^{tan(x)}\)Rewrite:                                                                                                         \(\displaystyle y = \pm Ce^{tan(x)}\)

Step 4: Find Particular Solution

Substitute in variables [Function]:                                                               \(\displaystyle |5| = Ce^{tan(0)}\)Evaluate absolute value:                                                                               \(\displaystyle 5 = Ce^{tan(0)}\)Evaluate trig:                                                                                                 \(\displaystyle 5 = Ce^0\)Evaluate exponent:                                                                                       \(\displaystyle 5 = C(1)\)Multiply:                                                                                                             \(\displaystyle 5 = C\)Rewrite:                                                                                                         \(\displaystyle C =5\)Substitute in C [General Solution]:                                                               \(\displaystyle y = 5e^{tan(x)}\)

∴ Our answer is C.

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Differential Equations

Book: College Calculus 10e

When Borrower Max was approved for an FHA loan, he knew that the cost of the loan would be passed to him in one of two ways. Which would be paid at the time of closing as an FHA fee?Up-front Mortgage Insurance PremiumMortgage Insurance PremiumHomeowner's InsuranceMortgage Loan Insurance

Answers

The FHA fee that would be paid at the time of closing is the "Up-front Mortgage Insurance Premium" (UFMIP).

Up-front Mortgage Insurance premium is a one-time fee that is paid at the time of closing and is added to the total loan amount. The UFMIP is typically 1.75% of the loan amount, but can vary depending on the loan type and other factors.

The "Mortgage Insurance Premium" (MIP) is an ongoing fee that is paid monthly along with the mortgage payment.

"Homeowner's Insurance" is not an FHA fee but is typically required by lenders to protect the property in case of damage or loss.

"Mortgage Loan Insurance" is another term for mortgage insurance, which is required on FHA loans to protect the lender in case the borrower defaults on the loan.

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$ Wayne purchased a spherical-shaped glass bu
display it on a pedestal stand enclosed in a glass cube as sho
if the sphere has a radius of 6 inches and is to be tangent to all of the faces of
the cube, how many square inches of glass will Wayne need to build his display
box?

Answers

The number of square inches of glass they will Wayne need to build his display box is 1730.67 square inches.

We are given that;

Radius of sphere= 6inches

Now,

we can use the Pythagorean theorem to relate the radius of the sphere and the edge of the cube. If we draw a right triangle with one leg as the radius of the sphere and the hypotenuse as half of the diagonal of a face of the cube, we get:

r2+r2=(2e​)2

where r is the radius of the sphere and e is the edge of the cube. Simplifying and solving for e, we get:

e=22​r

Plugging in r=6, we get:

e=22​×6≈16.97

The surface area of a cube is given by:

S=6e2

Plugging in e≈16.97, we get:

S≈6×(16.97)2≈1730.67

Therefore, by Pythagoras theorem the answer will be 1730.67 square inches.

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Sarah can spend at most $9.00 on oranges and almonds. She buys a bag of oranges for $3.50. At most, how much can Sarah spend on almonds?

Answers

Subtract the cost of the oranges from what she can spend:

9.00 - 3.50 = 5.50

At most she can spend $5.50

1. Indicate whether the following statements are true of false. (12%) ( ) In the same OSM, all pages must have the same size. ( ) In the same OSM, all segments must have the same size. ( ) Internal fragmentation is a problem of paging. ( ) External fragmentation is a problem of segmentation. ( ) Paging and segmentation cannot co-exist in the same OSM.

Answers

( ) In the same OSM, all pages must have the same size. - False

( ) In the same OSM, all segments must have the same size. - False

( ) Internal fragmentation is a problem of paging. - True

( ) External fragmentation is a problem of segmentation. - True

( ) Paging and segmentation cannot co-exist in the same OSM - False

In an Operating System Memory (OSM), all pages do not have to have the same size. Pages can have different sizes depending on the system's memory management scheme, such as demand paging or memory segmentation.

Similarly, segments in the same OSM do not have to have the same size. Segmentation allows for variable-sized memory segments based on program requirements.

Internal fragmentation refers to wasted memory within a single memory block due to allocation granularity. It is typically associated with paging, where fixed-size pages can lead to inefficient memory utilization.

External fragmentation refers to unallocated or unusable memory scattered throughout the system. It is more commonly associated with memory segmentation, where varying sizes of memory segments can result in fragmented memory space.

Paging and segmentation can coexist in the same OSM. Many operating systems use a combination of both techniques, known as segmented paging or hybrid memory management, to leverage the advantages of each method and optimize memory allocation.

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find the length of each bolded arch to the nearest hundredth

find the length of each bolded arch to the nearest hundredth

Answers

Answer:

11.21

Step-by-step explanation:

Arc length formula equals pi times the diameter (2 radius) times the angle measure (connecting to the center point of the circle) divided by 360

Basically just plug in the numbers to the formula and solve: 12pi times 107 over 360, which would equal to the answer given above.

Hope this helps (:

In a certain state an automobile insurance company has a large number of customers. From company files it is known that 78% of the customers have only the state minimums for insurance. An official with the state board of insurance is going to take a random sample of 100 accounts to review.


Required:

Find the standard deviation of the sample proportion in this situation. Give your answer to 4 decimal places.

Answers

The standard deviation of the sample proportion in this situation is approximately 0.0414.

To find the standard deviation of the sample proportion, we need to use the formula:

Standard deviation of sample proportion (σp) = √[(p × (1 - p)) / n]

Where:

p = population proportion (percentage of customers with state minimums for insurance) = 78% = 0.78

n = sample size = 100

Substituting the values into the formula, we have:

σp = √[(0.78 × (1 - 0.78)) / 100]

Calculating the expression within the square root:

σp = √[(0.78 × 0.22) / 100]

= √[0.1716 / 100]

= √0.001716

≈ 0.0414

Therefore, the standard deviation of the sample proportion in this situation is approximately 0.0414.

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