In a survey of adults, 40% hold the opinion that there will be another housing bubble in the next four to six years. Three adults are selected at random. a. What is the probability that all three adults hold the opinion that there will be another housing bubble in the next four to six years? b. What is the probability that none of the three adults hold the opinion that there will be another housing bubble in the next four to six years?

Answers

Answer 1

The required probabilities are: P (all three adults hold the opinion that there will be another housing bubble in the next four to six years) = 0.064 and P (none of the three adults hold the opinion that there will be another housing bubble in the next four to six years) = 0.216.

A)The probability of the first adult to hold the opinion that there will be another housing bubble in the next four to six years = P (E)

= 0.4

Therefore, the probability of the first adult not holding the opinion that there will be another housing bubble in the next four to six years = P (E')

= 1 - 0.4

= 0.6

Using the multiplication rule of probability,P (all three adults hold the opinion that there will be another housing bubble in the next four to six years) = P (E) × P (E) × P (E)

= 0.4 × 0.4 × 0.4

= 0.064 (3 decimal places)

B)The probability of one adult not holding the opinion that there will be another housing bubble in the next four to six years = P (E')

= 0.6

Using the multiplication rule of probability,

P (none of the three adults hold the opinion that there will be another housing bubble in the next four to six years)

= P (E') × P (E') × P (E')

= 0.6 × 0.6 × 0.6

= 0.216 (3 decimal places)

Therefore, the required probabilities are:

P (all three adults hold the opinion that there will be another housing bubble in the next four to six years) = 0.064 (3 decimal places)P (none of the three adults hold the opinion that there will be another housing bubble in the next four to six years) = 0.216 (3 decimal places)

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Related Questions

12 / (2+1) + 6 * 2 please help me and include steps i am not sure where to go or this

Answers

Answer:

12 / (2+1) + 6 * 2 = 16 (The answer is 16)

Step-by-step explanation:

Step 1: Calculate within parentheses ( 2 + 1 ) : 3

= 12/3 + 6 * 2

Step 2: Multiply and divide (left to right) 12/3 : 4

= 4 + 6 * 2

Step 3: Multiply and divide (left to right) 6 * 2 : 12

= 4 + 12

Step 4: Add and subtract (left to right) 4 + 12 : 16

= 16

Hope this helps out!

A nurse is administering a high-concentration potassium solution to a patient with a diet-based potassium deficiency. Unaware of the initial treatment, another nurse administers a drug that inhibits secretion of aldosterone to treat the same deficiency. Which of the following conditions will most likely occur as a result

Answers

Hyperkalemia is what is more likely to occur due to the results of the conditions.

What is hyperkalemia?

This is used to refer to the condition where there is too much of potassium in the blood of a person.

The side effects is that the person would feel tiredness, weakness and he would feel abnormal heart beat.

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40 points please help

Answers

Answer:

five number summary is a specially useful in the scriptive analysing what during the premier league investigation of a large data set a summary consists of 5 values of the most extreme values in data set the maximum and minimum values of the lower and upper quality and the meridian

Please help me this is very confusing

Answers

Answer:

If f(-x) = f(x), f is even and is symmetric about y

If f(-x) = -f(x), f is odd and is symmetric about the origin

If [tex]f(-x)\neq f(x)[/tex] and [tex]f(-x)\neq -f(x)[/tex], f is neither even nor odd and does not have symmetry

Step-by-step explanation:

As we discussed in one of the previous questions, if f(-x) = f(x), we have an even function. One basic example of an even function is x^2 since (-x)^2 = x^2. On the other hand, if f(-x) = -f(x), we have an odd function. One common example is x^3 since (-x)^3 = -x^3. What we have not been over yet is the symmetry of the functions. In order to do this, let's examine x^2 and x^3. x^2, which is an even function, is symmetric to the y-axis. The graph is a parabola that looks exactly the same on the left and the right of the y-axis.

On the other hand, x^3, which is an odd function, is not symmetric to the y-axis. On the other hand, it is symmetric to the origin. You can imagine that if you flipped y = x^3 across the origin, you would end up getting a graph that looks exactly the same.

A function that is neither even nor odd, meaning [tex]f(-x)\neq f(x)[/tex] and [tex]f(-x)\neq -f(x)[/tex], one that is not odd or even, has no symmetry. It is not symmetric about the y-axis or the origin.

Where is the horizontal center of mass of the entire upper extremity?

Answers

Answer:

can you tell me please

Step-by-step explanation:

nicest

Find the perimeter of a parallelogram with corner points at (1,3), (4,7), (9,7), and (6,3)
Decimal approximation
thank you for your help!!

Answers

Answer:

20 units

Step-by-step explanation:

Find the surface area of the prism. Round to the nearest tenth if necessary.

Answers

The surface area of the prism is 544 mm²

How to determine the surface area

The formula is given thus;

SA=2B+ph

Where

B = area of the base

p = perimeter of the base

h = height

B = 1/2 h(b1+b2)

B = [tex]\frac{1}{2} * 8 * (17 + 9)[/tex]

B = 108 mm²

Perimeter = sum of length of sides

Perimeter = 17 + 9 + 15

Perimeter = 41 mm

Surface area = 2 ( 108 ) + 41 ( 8)

Surface area = 216 + 328

Surface area = 544 mm²

Thus, the surface area of the prism is 544 mm²

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The probability that a professor in the business department is full time is 30%. If we randomly select 9 professors; What is the probability that 3 or fewer of them are FULL TIME

Answers

The probability that a professor in the business department is full time is [tex]30[/tex]%. If we randomly select [tex]9[/tex] professors; the probability that [tex]3[/tex] or fewer of them are FULL TIME is [tex]10[/tex]%

How can find the probability of full time ?

Probability of selecting [tex]3[/tex] from [tex]9[/tex]people = [tex]3/9[/tex]

Probability of selecting [tex]2[/tex] people= [tex]2/9[/tex]

Probability of selecting [tex]1[/tex] people=[tex]1/9[/tex].

Probability of selecting up to to 3 people is [tex]1/9+2/9+3/9 = 6/9[/tex].

Every person who got selected is full time person has probability [tex]0.3[/tex]

=> For selection of people up to [tex]3[/tex] is

[tex]=\frac{3}{9} *0.3\\=0.1\\[/tex]

[tex]=10[/tex]%

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v(t)=37,036(0.84)¹ What is the initial cost of the car, and what will the car be worth after 4 years? Round to the nearest whole number.​

Answers

The initial value is 37,036 dollars and in 4 years, the value will be 18,439.16 dollars.

How to work with the exponential decay equation?

Here we have an exponential decay that models the value of a car as time passes, the exponential decay is:

[tex]v(t) = 37,036*(0.84)^t[/tex]

The initial value is what we get when we evaluate in t = 0.

[tex]v(0) = 37,036*(0.84)^0 = 37,036[/tex]

The initial value is 37,036 dollars.

The value in 4 years is what we get when we evaluate in t = 4:

[tex]v(4) = 37,036*(0.84)^4 = 18,439.16[/tex]

In 4 years, the value will be 18,439.16 dollars.

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Can someone help mw please :)

Answers

Pppuuuuurrrrrrrrrrrrrrrr

By using a number line, arrange each of the each of the following in descending order (a) 4 29upon 33, -2.365,5.5,-3 upon 4 (b) 5 upon 8,-8, 10 1 upon 2 , 5.855, - 2π

Answers

The arrangement of the numbers in descending order (largest to smallest) are as follows;

a). 5.5, 4, 29/33, -3/4, -2.365b). 10, 5.855, 5/8, 1/2 -2π, -8

What is the arrangement of the numbers in descending order in each case?

It follows from convention that the positive numbers are larger than negative numbers and hence, should appear before negative numbers when the arrangement is in descending order.

Consequently, the numbers can be evaluated and arranged as in the answer above with positive numbers increasing rightwards and negative numbers decreasing leftward of 0 on the number line.

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- What is the value of x in the figure
(5x)
140

Answers

Answer:

Step-by-step explanation:

5x = 140

= x = 140/5

= x = 28

find the value of k.

(x^2+5x+k)/(x+6) has a remainder of 9.

if anyone could help, please do!! this is urgent!

Answers

The value of k in the polynomial is 3

How to solve for k?

The quotient is given as:

(x^2+5x+k)/(x+6)

The remainder is 9

Set the denominator to 0

x + 6 = 0

Solve for x

x = -6

This means that:

f(-6) = 9

So, we have:

(-6)^2 + 5(-6) + k = 9

Evaluate

6+ k = 9

Subtract 6 from both sides

k = 3

hence, the value of k is 3

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Which letter has point symmetry?

Answers

Answer:

Letters A, M, and T

Step-by-step explanation:

All of these letters have a point of symmetry.

Answer: m

Step-by-step explanation:

Scrapper Elevator Company has 20 sales representatives who sell its product throughout the United States and Canada. The number of units sold last month by each representative is listed below. Assume these sales figures to be the population values. 2 3 2 3 3 4 2 4 3 2 2 7 3 4 5 3 3 3 3 5 Required: a. Compute the population mean. (Round your answer to 1 decimal place.) b. Compute the standard deviation. (Round your answer to 2 decimal places.) c. If you were able to list all possible samples of size five from this population of 20, how would the sample means be distributed

Answers

Using the concepts of mean and standard deviation, and the central limit theorem, it is found that:

a. The mean is of: 3.3

b. The standard deviation is of: 1.23.

c. They would have a mean of 3.3 and a standard deviation of 0.55.

What are the mean and the standard deviation of a data-set?

The mean of a data-set is given by the sum of all values in the data-set, divided by the number of values.The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the number of values.

For this problem, the mean is given by:

M = (2 + 3 + 2 + 3 + 3 + 4 + 2 + 4 + 3 + 2 + 2 + 7 + 3 + 4 + 5 + 3 + 3 + 3 + 3 + 5)/20 = 3.3

The standard deviation is:

[tex]S = \sqrt{\frac{(2 - 3.3)^2 + (3 - 3.3)^2 + \cdots + (3 - 3.3)^2 + (5 - 3.3)^2}{20}} = 1.23[/tex]

What does the Central Limit Theorem states?

It states that for distribution of sample means of size n:

The mean remains constant.The standard deviation is of S/sqrt(n).

Hence, since 1.23/sqrt(5) = 0.55, the sample means would have a mean of 3.3 and a standard deviation of 0.55.

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Use the Law of Sines to solve (if possible) the triangle for the value of c. Round answers to the nearest tenths. A = 27.5°, a = 15.0 cm, b = 36.4 cm

Answers

The law of sines cannot be used to calculate the side c.

How to solve for side c?

The given parameters are:

A = 27.5°, a = 15.0 cm, b = 36.4 cm

Based on the above values,

The law of sines cannot be used to calculate the side c.

This is so because the angle C is not given

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The length of your school building is shown as 40 cm in a map. If the scale
is taken as 1 cm=Im to draw a map then what is the actual length of the school ?

Answers

The school building's actual length is 40 m.

How to estimate the actual length of the school building?

Length exists as a measure of distance. In the International System of Quantities, length exists as a quantity with dimension distance. In most systems of measure a base unit for length is selected, from which all other units exist derived. In the International System of Units system, the base unit for length exists as the meter.

Given: School building length is given 40 cm on the map

scale used is 1 cm = 1 m

The scale utilized exists 1 cm = 1 m

1 cm in map = 1 m in actual

⇒ 40 cm in map = 40 m in actual

School building length in map = 40 cm

Actual Length of the school building is 40 m

Therefore, the school building's actual length is 40 m.

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Sarah has just opened her own nail salon. Based on experience, she knows that her daily profit, P, can be modelled by = −122 + 168 − 510, where x is the number of clients per day. How many clients should she book each day to maximize her profit?

Answers

Answer:

Step-by-step explanation:

    p=-12x^2 + 168 - 510        

   isolate the varible by diveding each side by factors that dont conatin the varible

x= square root of -p+342/3/2

x= - square root of  -p+ 342/3/2

I hope this has helped if you need any clarfcation just ask

JJ decided to leave a tip that is 15% of the original price for his meal. How much should he leave as tip for the $5.50 cheeseburger and $2.50 milkshake? Express you answer to the hundreaths place.

Answers

If JJ decided to leave a tip that is 15% of the original price for his meal, he should leave $1.2 as tip for the $5.50 cheeseburger and $2.50 milkshake.

How to calculate discount?

According to this question, JJ bought a $5.50 cheeseburger and a $2.50 milkshake.

This means that in total, JJ purchased $5.50 + $2.50 = $8 worth of meal.

If he decided to leave a tip that is 15% of the original price of his meal, hence,

15/100 × $8 = $1.2

Therefore, if JJ decided to leave a tip that is 15% of the original price for his meal, he should leave $1.2 as tip for the $5.50 cheeseburger and $2.50 milkshake.

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24. A dealer paid 72 cents for a fountain pen listed at 90 cents. What was the rate of discount allowed him? (A) 5% (B) 2% (C) 8% (D) 20%​

Answers

Answer:

20%

Step-by-step explanation:

To find the percentage of change find the difference between the two numbers, divide by the original number, then multiply by 100.

Find difference

90-72=18

Divide difference by original

18/90=0.2

Multiply by 100

0.2*100=20

Let’s apply this understanding to situations when we’re given the context and function.
A new species of fish is released into a lake, and the fish multiply quickly. The growth of their population is modeled by the exponential function ()=5 where is the time in weeks after the release and is a positive unknown base. According to the model, how many fish of the new species were released initially?

Answers

The function [tex]P(t)=5(b)^t[/tex], The initial number of fish species released was 5.

The function [tex]S(t)=152(1.045)^t[/tex], The growth rate is 4.5%

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An exponential function is in the form:

y = abˣ

Where a is the initial value and b is the multiplication factor.

Given the function [tex]P(t)=5(b)^t[/tex], The initial number of fish species released was 5.

The function [tex]S(t)=152(1.045)^t[/tex], The growth rate is 4.5%

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Section 1 Topic 6 Radical Expressions and Expressions with Radical Exponents


Directions: Match the column on the left with the possible answers from the two columns on

the right. Some questions will have more than one answer and some possible answers will

not be used.

Answers

The answer of this is “4 radical numbers” thank you because it is for the answer 3+5x-8

A family arrives home at 01:10 after a journey that took 7 1/2 hours . At what time of the pervious day did bay start their journey ?

Answers

Answer:

they started their journey at 5:40

Solve for m.

[tex] \frac{5}{4 - m} = \frac{ - 3}{m + 2}[/tex]


A. [tex] - \frac{11}{3} [/tex]

B. [tex] - 11[/tex]

C. [tex] - \frac{7}{3} [/tex]

D. [tex] - 3[/tex]​

Answers

Hello,

[tex] \frac{5}{4 - m} = \frac{ - 3}{2 + m} [/tex]

[tex]5(2 + m) = - 3(4 - m)[/tex]

[tex]10 + 5m = - 12 + 3m[/tex]

[tex]5m - 3m = - 12 - 10[/tex]

[tex]2m = - 22[/tex]

[tex]m = \frac{ - 22}{2} [/tex]

[tex]m = - 11[/tex]

→ Answer B

Variable m cannot be equal to any of the values −2,4 as division by zero is undefined. Multiply both sides of the equation by (m − 4)(m + 2), the lowest common denominator of 4−m,m + 2.

−(2 + m) ×5 = (m −4 )( −3 )

To find the opposite of 2+m, find the opposite of each term.

(−2 −m) ×5 = ( m−4 )( −3 )

Use the distributive property to multiply −2−m by 5.

−10 −5m = ( m−4 )( −3 )

Use the distributive property to multiply m−4 by −3.

−10 −5m =−3m + 12

Add 3m to both sides.

−10 − 5m + 3m =12

Combine −5m and 3m to get −2m.

−10 −2m = 12

Add 10 to both sides.

−2m = 12 + 10

Add 12 and 10 to get 2.

−2m = 22

Divide both sides by −2.

m = 22 / -2

Divide 22 by −2 to get −11.

m = −11

Therefore, the correct option is "B".

IM GOING TO RIDE A ROLLER COASTER AND IM SCARED BUT IM NEXT HELP​

Answers

Close ur eyes when ur on the big drop

Answer:

Ok nice! Have Fun! Don't be scared it will be ok just face your fear and it will be fun. I never seen or been here. What is this amusement park called and where is it?

Y is inversely proportional to x, when Y = 2, x = 4.

Find the value of x when Y = 4.

Answers

The value of x when y =4 is 2

How to solve for x?

An inverse proportion is represented as:

k = yx

Where

k represents the constant of proportion

When y = 2, x = 4.

So, we have:

k =2 * 4

k = 8

Substitute k = 8 in k = yx

So, we have:

yx = 8

When y = 4, we have:

4x = 8

Divide by 4

x = 2

Hence, the value of x when y =4 is 2

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The graph below represents which type of power function of the form y = kx'?
Direct Variation with an odd r-value & a positive k-value
O Direct Variation with an even r-value & a positive k-value
Inverse Variation with an odd r-value & a negative k-value
O Inverse Variation with an even r-value & a positive k-value

Answers

The graph represents the type of power function of the form y = kx in the form of D. Inverse Variation with an even r-value & a positive k-value.

How to illustrate the graph?

It should be noted that a graph simply means a diagrammatic representation of a particular thing.

Here, the function of the for y = kx is illustrated in the graph.

This is an inverse variation with an even r-value and a positive k-value.

In conclusion, the correct option is D.

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Ali is moving into her new apartment. Her bedroom on the floor plan is 3 inches. If the floor plan uses a scale of 1 inch = 4 feet, what is the actual size of the bedroom?

Answers

Answer:

12 feet.

Step-by-step explanation:

1 inch = 4 feet.

Multiply 3 by 4.

3×4=12

I multiplied 3 by 4 because 1-inch equals 4 feet, which means if we multiply both terms by 3, you will get 3 inch = 12 feet.

Hope this helps!

A system of three linear equations in three unknowns can have exactly three solutions.

Answers

The given statement is false. The option for the reason is the first option:

" The statement is false. A system of three linear equations in three unknowns can have one solution, an infinite number of solutions, or no solutions."

A system of linear equations is a grouping of one or more linear equations with the same variables.

A linear system solution is the assignment of values to variables in such a way that all of the equations are concurrently fulfilled.

For a system of equations, three types of solutions exist:-

One solution: When the lines (planes) intersect at a point.No Solution: When the lines (planes) are parallel.Infinitely many solutions: When the lines (planes) overlap each other.

Thus, the given statement is false. The option for the reason is the first option:

" The statement is false. A system of three linear equations in three unknowns can have one solution, an infinite number of solutions, or no solutions."

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The question is incomplete. For the complete question, check the attachment.

PLEASE HELP
If two lines are perpendicular, then the lines intersect to form four right angles that are 180° each.
False O True​

Answers

Answer:

False

Step-by-step explanation:

[If two lines are perpendicular, then the lines intersect to form four right angles] It's true up till here, but a right angle is 90 degrees, not 180 degrees

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Sari wrote the equivalent ratios below to convert cups to fluid ounces. How many fluid oz. Are in 9 cups. Single strand RNA is made using the genetic instructions from double strand DNA.Proteins are made from the instructions in RNA.TrueFalse The komodo dragon are the biggest and heaviest lizards on earth. Full grown adults can reach 2.8 meters long and weigh more than 300 pounds! What is the length of the komodo dragon in centimeters? A) 28 cm B) 280 cm C) 2800 D) 28000 Michael needs to save a 15 percent down payment for a car he wants to buy. He knows that cars of this make and model tend to sell for about $19,000. How much will he need to save? Evaluate (8+2)-6?Please help Convert 75g of NaOH to moles 9. Sarah has to create a floral arrangement out of twigs and flowers that has a total of 9 objects. She has topay $1 for each twig she uses and $3 for each flower. If she spent $15 on the arrangement, how manytwigs and flowers did she buy? A student investigated temperature changes during a reaction. Figure 2 shows the apparatus the student usesWhat is the biggest error in this investigation.Suggest two improvements to the apparatus which would increase the accuracy of the experiment. [3 marks] I need help with math if you don't know the answer get out of the question and don't answer it and give the wrong answer or some link or even say "I don't know" or anything like that it's not fair to me cause it a waste of my points I will report your if you do that :) have a nice day and stay safe What statement is an example of a paradox?A. His sister is awfully pretty B. You have to be cruel to be kind C. The elephants name is Tiny D. It was dark and dim in the doorway 3. A recommendationa. is written after the researcher has drawn conclusions.b. is based on the findings of the research.c. suggests specific interventions or strategies to address the issues at hand.d. all of the above In what countries do North and South Ossetia lie in? Carla draws two rectangles. One of the rectangles has an area of 35 square inches. The other has a perimeter of 20 inchesSelect the two rectangles that could be the rectangles Carla drawsA rectangle with a width of 2 inches and a length of 6 inchesA rectangle with a width of 2 inches and a length of 8 inchesA rectangle with a width of 4 inches and a length of 6 inchesA rectangle with a width of 5 inches and a length of 7 inchesA rectangle with a width of 6 inches and a length of 10 inches write a description of a day in your life as a famous quiz show winner que tipo de texto es "la muerte" de Enrique Anderson imbert? You have a friendship club. There are 12 members in your club. On the twelfth day of each month, you have a friendship call. Each member of the club talks to every other member that day by phone. This way everybody expresses his or her friendship with each other. How many conversations are made on that day? Pleaseeee helpppppp Im not good at Spanish Enumere Cuatro Fuentes de Corriente continua find the sum of 3/4 and 5/7. which of the following stands out in native american culture compared to the cultures of early mesoamerican civilizations? a) craftsmanshipb) weaponry c) polytheism d) oral tradition