help. I don't understand any of this math. please help.

Help. I Don't Understand Any Of This Math. Please Help.

Answers

Answer 1

Answer:

its c 2b(12 - 17a)

Step-by-step explanation:


Related Questions

what is the difference between descriptive statistics and inferential statistics?

Answers

A data set's attributes are enumerated through descriptive statistics. You can use inferential statistics to test a hypothesis or determine whether your data can be applied to a larger population.

Descriptive statistics concentrate on describing the features of a dataset that are readily evident (a population or sample). In contrast, inferential statistics concentrate on drawing conclusions or generalisations from a sample of data in a larger dataset.

The information from a research sample is described and condensed using descriptive statistics. We can draw conclusions about the larger population from which we drew our sample using inferential statistics.

The area of statistics known as descriptive statistics is focused on providing a description of the population being studied. A type of statistics known as inferential statistics concentrates on inferring information about the population from sample analysis and observation.

Hence we get the required answer.

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I need help on how to find the radius

I need help on how to find the radius

Answers

Answer:

7

Step-by-step explanation:

the radius is just half of that!

What are the MRSs? Determine if there is a diminishing MRS
a. U(x,y)=3x+y
b. U(x,y)=x.y
c. U(x,y)=x​⋅y
d. U(x,y)=x2−y2
​e. U(x,y)=x+yx.y​ 3.

Consider each of a. U(x,y)=x0.1y0.4 b. U(x,y)=min(αx,βy) c. U(x,y)=αx+βy calculate the following i. Demand curves for x and y ii. Indirect utility function iii. (Indirect) expenditure function iv. Show that the demand curve is homogeneous in degree zero in terms of income and prices

Answers

a. The MRS is constant (not diminishing) at 1/3.

U(x,y) = 3x + y

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = 1 / 3

The MRS is constant (not diminishing) at 1/3.

b. The MRS is diminishing because as y increases, the MRS decreases.

U(x,y) = x * y

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = 1 / y

The MRS is diminishing because as y increases, the MRS decreases.

c. The MRS is diminishing because as y increases, the MRS decreases.

U(x,y) = x * y

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = 1 / y

Similar to the previous case, the MRS is diminishing because as y increases, the MRS decreases.

d. The MRS depends on the ratio of y to x and can vary.

U(x,y) = x^2 - y^2

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = -2y / 2x = -y / x

The MRS depends on the ratio of y to x and can vary. It is not necessarily diminishing.

e. The MRS depends on the values of x and y and can vary.

U(x,y) = x + y / (x * y)

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = -1 / (y^2) + 1 / (x^2 * y)

The MRS depends on the values of x and y and can vary. It is not necessarily diminishing.

Now let's move on to the second part of the question:

For parts a, b, and c, we need more specific information about the utility functions, such as the values of α and β, to calculate the demand curves for x and y, the indirect utility function, and the expenditure function.

To show that the demand curve is homogeneous in degree zero in terms of income and prices, we need the specific functional form of the utility functions and information about the prices of x and y. Please provide the necessary details for parts A, b, and c to continue the analysis.

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I need help ASAP.
Thanks!

I need help ASAP. Thanks!

Answers

Answer:334

Step-by-step explanation:

You cut them down rhe middle where you get two different rectangles one rectangles one with 7 by 10 adn the other with 24 by 11 on the second one. so the you add both answers so you get 70 plus 264 which equals

Libby bought 224 ounces of flour. If each bag contains 32 ounces of flour, how many bags of flour did Libby buy?

Answers

Answer:

answer is 7

Step-by-step explanation:

trust me :)

The number of bags of flour bought by Libby is given by A = 7 bags

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

The total amount of flour bought by Libby = 224 ounces

The amount of flour in each bag = 32 ounces

Let the number of bags be A

So ,  amount of flour in each bag x number of bags = total amount of flour bought by Libby

On simplifying the equation , we get

32A = 224

Divide by 32 on both sides , we get

A = 224/32

A = 7 bags

Therefore , the value of A is 7 bags

Hence , the number of bags is 7 bags

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Draw a rectangular array on graph paper for 24 x 18. Solve the problem 24 x 18 using the partial-products algorithm. Use your array to explain why the partial-products algorithm calculates the correct answer to 24 x 18.

Answers

To draw a rectangular array for 24 x 18 on graph paper, we create a grid with 24 rows and 18 columns.

The partial-products algorithm for multiplying 24 and 18 involves breaking down the multiplication into smaller, manageable steps. The array helps visualize these steps and demonstrates why the algorithm yields the correct answer. Using the array, we start by dividing the 24 x 18 rectangle into smaller squares that represent individual partial products. Each row in the array corresponds to a digit in the multiplier (24), and each column corresponds to a digit in the multiplicand (18). We fill in the array by multiplying the corresponding digits in the multiplier and multiplicand.

For example, the first partial product is obtained by multiplying the rightmost digit of the multiplier (4) by each digit in the multiplicand (8, 1). We place the result, 32, in the corresponding square in the array. Similarly, we calculate the other partial products and place them in the corresponding squares. To find the final product, we sum up all the partial products in the array. In this case, we add up the values in all the squares to get 432, which is the correct answer to 24 x 18.

The array demonstrates why the partial-products algorithm works. By breaking down the multiplication into smaller steps and organizing them in the array, we ensure that each digit in the multiplier is multiplied by each digit in the multiplicand. The array visually represents the distributive property of multiplication, where each digit in one number is multiplied by each digit in the other number. Adding up the partial products gives the total product, ensuring the correct result. The array provides a visual proof of why the partial-products algorithm yields the correct answer to the multiplication problem.

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Use the equation Y = {/27x-54 +5.

Which is an equivalent equation of the form

y=avx-h+k

y=-273x + 2+5

y=-3x+2 +5

y=34x-2 +5

y=273/x-2 +5

Answers

Answer:

y= 34x- 2 +5 (C)

Step-by-step explanation:

The equation: y = 27x-54 +5

We are to determine an equivalent equation of the form y=avx -h+k from the options given.

From the above, av = two digit coefficient of x. Hence av is constant.

h and k are also constant.

Let's check out the option to find the equation that is in the form y=avx-h+k

a) y=-273x + 2+5

In this equation, the coefficient of x is a 3-digit number. The option is wrong.

b) y=-3x+2 +5

In this equation, the coefficient of x is a 1-digit number. The option is wrong.

c) y=34x -2 +5

In this equation, the coefficient of x is a 2-digit number.

av = 34, h= 2 and k = 5

This equation is in the form of y=avx -h+k

The option is correct.

d) y=273/x-2 +5

This equation is not in the form of y=avx -h+k

The option is wrong.

Answer:

c is correct for the first one

horizontal: 2 units right

vertical: 5 units up

stretch/compression: stretched by a factor of 3

reflection: not reflected

Step-by-step explanation:

leave a heart pls :)

what is five and two thirds times three fourths

Answers

Answer:

4 1/4

Step-by-step explanation:

make improper

17/3 * 3/4 then multiply a across ( Numertors multiply numurators, denominator multplies denominator)

=51/12 then reduce

What is dual and complement?

Answers

The Boolean dual are created by replacing AND operator with OR operator and the complement is defined as the negation of the statement .

What is Boolean Expression ?

The Boolean Expression is defined as a logical statement that is either TRUE or FALSE . It compares data of any type as long as both the parts of  expression have same basic data type.

The Dual of Boolean Expression are calculated by simply replacing AND operator with OR and OR operator with AND .

The Compliment of Boolean Expression  is defined as negation of  variables with replacement .

For Example : if the statement is \(A+B\) ,

then the dual will be \(AB\) and the compliment will be \(A'B'\) .

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Help !!!! heres the picture for it

Help !!!! heres the picture for it

Answers

Using the proportional rule of Similar Triangles, the length of SD is 12 m.

Given a truss bridge.

From it,

The triangles BCD and RSD are similar.

For similar triangles, corresponding sides are proportional.

Corresponding sides are,

BC and RS, CD and SD, BD and RD.

BC / RS = CD / SD = BD / RD.

Consider BC / RS = CD / SD.

2 / 1 = 24 / SD

2 (SD) = 24

SD = 12

Hence the length of SD is 12 m.

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Rhombus EFGH is rotated 90° counterclockwise about vertex G. How many pairs of parallel sides does the rotated figure have? 0 1 2 4​

Answers

The number of pairs of parallel sides the rotated figure have is 2

What are parallel sides?

Parallel sides or lengths are line segments or lines in the same plane that extend on both sides without intersecting

How to determine the number of pairs of parallel sides the rotated figure have?

The shape is given as:

Shape = Rhombus

Rotation= 90 degrees counterclockwise rotation about the vertex G

The rotation transformation is a rigid transformation

This means that when a shape is rotated by 90 degrees counterclockwise about a vertex (in this case, the vertex G), the image of the rotation would have the same properties as the preimage

A rhombus has 2 pairs of parallel sides

This means that the number of pairs of parallel sides the rotated figure have will also be 2 (same as the original shape)

Hence, the number of pairs of parallel sides the rotated figure have is 2

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Explain briefly the six main criteria that can be used to define normality and abnormality, by illustrating them with one psychological "abnormality" (other than homosexuality).
What may be the values and limitations of using the medical model and classification systems (which are originated from diagnosing and treating physical illnesses) to the understanding and treating of psychological disorders?
The six criteria are:
1. Abnormality as statistical infrequency (Involves comparison with other people)
2. Abnormality as personal distress (Involves consequences of the behavior for self)
3. Abnormality as others’ distress (Involves the consequences of the behavior for others)
4. Abnormality as unexpected behavior (Involves another kind of comparison with others’ behavior)
5. Abnormality as highly consistent/inconsistent behavior (Involving making comparisons between both the actor and others, and between the actor and him/herself in different situations)
6. Abnormality as maladaptiveness or disability (Concerns about the (disabling) consequences for the actor)

Answers

The six main criteria to define normality and abnormality include statistical infrequency, personal distress, others' distress, unexpected behavior, highly consistent/inconsistent behavior, and maladaptiveness/disability.

1. Abnormality as statistical infrequency: This criterion defines abnormality based on behaviors or characteristics that deviate significantly from the statistical norm.

2. Abnormality as personal distress: This criterion focuses on the individual's subjective experience of distress or discomfort. It considers behaviors or experiences that cause significant emotional or psychological distress to the person as abnormal.

For instance, someone experiencing intense anxiety or depression may be considered abnormal based on personal distress.

3. Abnormality as others' distress: This criterion takes into account the impact of behavior on others. It considers behaviors that cause distress, harm, or disruption to others as abnormal.

For example, someone engaging in violent or aggressive behavior that harms others may be considered abnormal based on the distress caused to others.

4. Abnormality as unexpected behavior: This criterion defines abnormality based on behaviors that are considered atypical or unexpected in a given context or situation.

For instance, if someone starts laughing uncontrollably during a sad event, their behavior may be considered abnormal due to its unexpected nature.

5. Abnormality as highly consistent/inconsistent behavior: This criterion involves comparing an individual's behavior to both their own typical behavior and the behavior of others. Consistent or inconsistent patterns of behavior may be considered abnormal.

For example, if a person consistently engages in risky and impulsive behavior, it may be seen as abnormal compared to their own usually cautious behavior or the behavior of others in similar situations.

6. It considers behaviors that are maladaptive, causing difficulties in personal, social, or occupational areas. For instance, someone experiencing severe social anxiety that prevents them from forming relationships or attending school or work may be considered abnormal due to the disability it causes.

The medical model and classification systems used in physical illnesses have both value and limitations when applied to psychological disorders. They provide a structured framework for understanding and diagnosing psychological disorders, allowing for standardized assessment and treatment. However, they can oversimplify the complexity of psychological experiences and may lead to overpathologization or stigmatization.

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PLEASE HELP ME ANSWER ALL OF THESE QUESTIONS!!!!

PLEASE HELP ME ANSWER ALL OF THESE QUESTIONS!!!!

Answers

Remember: a^2 + b^2 = c^2

1

64 + 49 = 113

√113 = \(\sqrt{113}\)

2

100 - 25 = 75

square root of 75 = 5 \(\sqrt{3}\)

How do you find the third side of an inequality of a triangle?

Answers

To find the third side of an inequality of a triangle, you must first use the Triangle Inequality Theorem.

This theorem states that for any triangle, the sum of any two sides of the triangle must be greater than the third side. This means that in order to find the length of the third side, you must subtract the sum of the two known sides from the smaller of the two sides, then the length of the third side will be equal to the difference between these two numbers. For example, if two sides of a triangle have lengths of 4 and 3, the third side must be greater than 1 (4 + 3 = 7 and 4 - 3 = 1). Therefore, the length of the third side must be greater than 1.

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I need some help finding the volume of a sphere with a diameter of 18.6cm. Help would be greatly appreciated!

I need some help finding the volume of a sphere with a diameter of 18.6cm. Help would be greatly appreciated!

Answers

Answer:

\(V=3367.57\ cm^3\)

Step-by-step explanation:

The diameter of a sphere, d = 18.6 cm

Radius, r = 9.3 cm

We need to find the volume of the sphere. The formula for the volume of a sphere is given by :

\(V=\dfrac{4}{3}\pi r^3\\\\=\dfrac{4}{3}\times 3.14\times (9.3)^3\\\\=3367.57\ cm^3\)

So, the volume of the sphere is equal to \(3367.57\ cm^3\).

I know it’s not a lot of points but I need help

I know its not a lot of points but I need help

Answers

Answer:

582 dance songs

194 rock songs

301 country songs

Step-by-step explanation:

Question
Which ordered pairs cause this relation NOT to be a function? Why?

{(0, 0.5), (0.5, 1), (3, 1), (1, 6), (3, 2)}
Responses
A (0.5, 1), (3, 1); The same y-value has different x-values.(0.5, 1), (3, 1); The same y-value has different x-values.
B (3, 1) and (3, 2); The same x-value has different y-values.(3, 1) and (3, 2); The same x-value has different y-values.
C (3, 1) and (3, 2); The x-value in a function cannot be greater than the y-value.(3, 1) and (3, 2); The x-value in a function cannot be greater than the y-value.
D (0.5, 1) and (0, 0.5); A function cannot contain decimals.

Answers

Ordered pair (3, 1) and (3, 2) causes the relation to not be a function; The same x-value has different y-values.

How do you find out if a set of ordered pairs is a function or not?

For a set of ordered pairs to be a function, there must not be any two points that have the same first elements. This means that, the

x-coordinates must not repeat for any two given points.

According to the given question:

Given ordered pairs of a relation are

(0, 0.5), (0.5, 1), (3, 1), (1, 6), (3, 2)

Domain set of the relation= {0, 0.5, 1, 3}

Co-Domain set of the relation = {0.5, 1, 2, 6}

Clearly the image of the x-coordinate 3 is not unique.

Hence, (3, 1) and (3, 2); The same x-value has different y-values.

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PLEASE HELP!!!
Solve for X...
Cos30=x/8
Answer MUST be in radical form. NO DECIMALS.

Answers

cos(30)=x/8

Rewrite the equation as

x/8=cos(30)

Multiply both sides of the equation by

8

.

8

x/8=8⋅cos(30)

Simplify both sides of the equation.

Tap for more steps...

x=4√3

The result can be shown in multiple forms.

Exact Form:

x=4√3

Decimal Form:

x=6.9282032

An airline runs a commuter flight between Portland, Oregon, and Seattle, Washington, which are 145 miles apart. An increase of 20 miles per hour in the average speed of the plane decreases the travel time by 12 minutes. What initial average speed results in this decrease in travel time? (Round your answer to one decimal place.)

Answers

The speed of the airplane is the ratio of the distance to the time

The initial average speed of the airplane is approximately 110.8 mph

Reason:

Given parameters are;

The distance between Portland Oregon and Seattle Washington = 145 miles

The decrease in travel time when the speed is increase by 20 mph =  minutes

The initial speed of the airplane, v = Required;

Solution;

\(t = \dfrac{145}{v}\)

\(t - \dfrac{12}{60} = \dfrac{145}{v + 20}\)

Therefore;

\(\dfrac{145}{v} - \dfrac{12}{60} = \dfrac{145}{v + 20}\)

Which gives;

\(\dfrac{145}{v + 20} - \dfrac{145}{v} + \dfrac{12}{60} = 0\)

Therefore

0.2·v² + 4·v - 2,900 = 0

v ≈ ±110.8 mph

The initial average speed of the airplane, v≈ ± 110.8 mph

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Find the median of the following numbers: 180, 260, 480, 180

A: 180
B: 370
C: 275
D: 220

HURRY

Answers

The answer is D.220

Identify the factors of the function
y = 4x2 + 2x - 12

Answers

Answer:

y = 2(x + 2)(2x - 3)

Step-by-step explanation:

Given

y = 4x² + 2x - 12 ← factor out 2 from each term

  = 2(2x² + x - 6) ← factor the quadratic

Consider the factors of the product of the x² term and the constant which sum to give the coefficient of the x- term.

product = 2 × - 6 = - 12 and sum = + 1

The factors are + 4 and - 3

Use these factors to split the x- term

2x² + 4x - 3x - 6 ( factor the first/second and third/fourth terms )

= 2x(x + 2) - 3(x + 2) ← factor out (x + 2) from each term

= (x + 2)(2x - 3)

Thus

2x² + x - 6 = (x + 2)(2x - 3) , and

y = 4x² + 2x - 12 = 2(x + 2)(2x - 3)  ← in factored form

What is the volume of a rectangular prism that is 1 1/2 inches by 2 1/4 inches by 4 inches? Show your reasoning

Answers

help please someone

The volume of the rectangular prism is given by the equation

A = 13 1/2 inches³

What is the Volume of a Rectangle?

The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle

Volume of Rectangle = Length x Width x Height

Volume of Rectangle = Area of Rectangle x Height

Given data ,

Let the volume of the rectangular prism be represented as A

Now , the equation will be

The length of the rectangular prism L = 1 1/2 inches

The length of the rectangular prism L = 1.5 inches

The width of the rectangular prism L = 2 1/4 inches

The width of the rectangular prism L = 2.25 inches

The height of the rectangular prism L = 4 inches

So , the volume of the rectangular prism A = Length x Width x Height

Substituting the values in the equation , we get

The volume of the rectangular prism A = 1.5 x 2.25 x 4

On simplifying the equation , we get

The volume of the rectangular prism A = 13.5 inches³

Hence , the volume of rectangular prism is  13.5 inches³

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There are two tap attached to a citern. The firt tap alone can empty the tank in 4
hour. If both the tap are opened together the tank i emptied in 1 hour. How long will the econd tap alone will take to empty the
tank?

Answers

3 hours to take second tap alone empty the tank.

What is the formula for time and work?The definition of work efficiency is "How much work (given in percentage) one person can perform in one day." One can complete a task, for instance, in two days. He can complete 50% of the work in one day, to put it another way. His effectiveness will be 50% as a result.Work Done = Time Taken × Rate of Work. Rate of Work = 1 / Time Taken. Time Taken = 1 / Rate of Work. If a piece of work is done in x number of days, then the work done in one day = 1/x.Work can be calculated by multiplying Force and Distance in the direction of force as follows W = F × dtime = distance ÷ speed.

Given data :

Time taken by tap A to empty the tank = 4 hours

Work done by tap A in 1 hour = \(\frac{1}{4}\)

Time taken to empty the tank by both taps = 1 hours

 

Time taken to empty the tank by tap B = Total time taken - time taken by A

=4 - 1 = 3

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Show one way that five children share
two pizzas equally

Answers

if there is 2 pizza and 5 children then 1/5 (fraction) of a pizza, or two slices, must be given to each child.

Start with two pizzas of equal size. Cut each pizza into 5 equal slices, so you have a total of 10 slices. Give each child 2 slices of pizza. Each child receives 2 slices of pizza, which is:

2/10 = 1/5 of a pizza

Each child now has 1/5 of a pizza.

Since there are 5 children, the total amount of pizza shared is:

5 × (1/5) = 1 pizza

Therefore, each child has 1/5 of a pizza, or 0.2 of a pizza.

To get the total amount of pizza that was shared, we can add up the amount of pizza each child received:

5 × (2/10) = 1 pizza

So, each child receives 2 slices of pizza, which is 1/5 of a pizza, and the total amount of pizza shared is 2 pizzas, or 1 whole pizza per 2 children.

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*PLEASE* PLEASE PLEASE HELP ME SOMEBODY !3RD! TIME POSTING THIS AND I REALLY BADLY NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Are the two triangles similar? If so, state the reason and the similarity statement. Question options: A) Impossible to determine. B) Yes; SAS; ΔVWX ∼ ΔYZX C) Yes; SSS; ΔVWX ∼ ΔYZX D) The triangles are not similar.

*PLEASE* PLEASE PLEASE HELP ME SOMEBODY !3RD! TIME POSTING THIS AND I REALLY BADLY NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Are

Answers

Answer:I think its not similar

Step-by-step explanation:

they dnot look the same

tom is planning a party for five friends at a game arcade. He can buy different numbers of game tokens for the prices shown on the table

each friend will have 25 game tokens.

how much money could tom save, in dollars, if he buys all 125 tokens before the party rather than separately as each friends arrive?

tom is planning a party for five friends at a game arcade. He can buy different numbers of game tokens

Answers

Answer:

He can save 20 dollars

Step-by-step explanation:

He can buy one 100 token amount and one 25 token amount. This will cost 20 + 10 dollars, or 30 dollars. If each friend buys 25 tokens, it will cost

10 * 5 dollars, or 50 dollars. 50 - 30 = 20. So he can save 20 dollars.

the radius of a sphere is increasing at a rate of 4 mm/s. how fast is the volume increasing (in mm3/s) when the diameter is 80 mm? (round your answer to two decimal places.)

Answers

Increase in volume is 802424.77 cubic mm/s when the diameter is 80 mm.

Let the radius of the sphere be R.

So, the volume of the sphere is given by,

V = \(\frac{4}{3}\pi r^3\)

Differentiating the above relation with respect to time 't' we get,

dV/dt = 4\(\pi r^2\). dr/dt

Given that, the change of radius (dr/dt) = 4 mm/s

When the diameter is 80 mm, then the radius = 80/2 = 40 mm

So the volume change when the diameter is 80 mm is given by,

dV/dt \(=4\pi\times40^2\times4\approx 802424.77\) cubic mm/s

Hence the volume increase in 802424.77 cubic mm/s.

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NEED HELP IMMEDIATELY. I WILL BRAINLIEST

NEED HELP IMMEDIATELY. I WILL BRAINLIEST

Answers

Answer:

5x² - 2x - 9 = 0.

Is a example

Step-by-step explanation:

The right rectangular prisms are similar. which statements are correct? check all that apply. the angles in the smaller prism measure 90 degrees. the perimeter of the rectangular bases changes by a factor of 2. the surface area changes by a factor of 8. the larger prism has twice the volume of the smaller prism. the area of the rectangular bases changes by a factor of 4.

Answers

The true statement about the right rectangular prisms include:

The angles in the smaller prism measure 90 degrees.The perimeter of the rectangular bases changes by a factor of 2.The rectangular bases changes by a factor of 4.

How to illustrate the prism?

It should be noted that a prism simply means a shape that has two identical shapes that face each other.

Here, the angles in the smaller prism measure 90 degrees and the perimeter of the rectangular bases changes by a factor of 2.

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Among 9192 cases of heart pacemaker malfunctions, 381 were found to be caused by firmware, which is software programmed into the device. If the firmware is tested in 3 different pacemakers randomly selected from this batch of 9192 and the entire batch is accepted if there are no failures what is the probability that the firmware in the entire batch will be accepted? Is this procedure likely to result in the entire batch being accepted?

Answers

The probability that the firmware in the entire batch will be accepted is

(1 - 381/9192)³, and the procedure is likely to result in the entire batch being accepted if this probability is high (close to 1).

We have,

To find the probability that the firmware in the entire batch will be accepted, we need to calculate the probability of having no failures in the randomly selected 3 pacemakers.

The probability of a firmware failure in a single pacemaker is calculated as the ratio of the number of firmware failures to the total number of pacemakers:

P(failure in a single pacemaker) = 381 / 9192

Since the pacemakers are randomly selected, the probability of no failures in a single pacemaker is the complement of the failure probability:

P(no failure in a single pacemaker) = 1 - P(failure in a single pacemaker)

Now, we can calculate the probability of having no failures in all three pacemakers:

P(no failures in 3 pacemakers)

= P(no failure in a single pacemaker) * P(no failure in a single pacemaker) * P(no failure in a single pacemaker)

P(no failures in 3 pacemakers) = (1 - P(failure in a single pacemaker)³

Substituting the value for P(failure in a single pacemaker), we can compute the probability:

P(no failures in 3 pacemakers) = (1 - 381/9192)³

This probability represents the likelihood of the entire batch being accepted. If this probability is high (close to 1), it indicates that the procedure is likely to result in the entire batch being accepted.

However, if this probability is low (close to 0), it suggests that the procedure may not be reliable, and there is a significant chance of a failure in the entire batch.

You can calculate the value of P(no failures in 3 pacemakers) using the given formula and evaluate whether the procedure is likely to result in the entire batch being accepted based on the computed probability.

Thus,

The probability that the firmware in the entire batch will be accepted is

(1 - 381/9192)³, and the procedure is likely to result in the entire batch being accepted if this probability is high (close to 1).

Learn more about probability here:

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