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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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 ?
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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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
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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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.
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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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.
IM GOING TO RIDE A ROLLER COASTER AND IM SCARED BUT IM NEXT HELP
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?
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?
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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Find the surface area of the prism. Round to the nearest tenth if necessary.
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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Y is inversely proportional to x, when Y = 2, x = 4.
Find the value of x when Y = 4.
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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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
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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Can someone help mw please :)
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 ?
Answer:
they started their journey at 5:40
40 points please help
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
If two lines are perpendicular, then the lines intersect to form four right angles that are 180° each.
False O True
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
Which letter has point symmetry?
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:
Please help me this is very confusing
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?
Answer:
can you tell me please
Step-by-step explanation:
nicest
12 / (2+1) + 6 * 2 please help me and include steps i am not sure where to go or this
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!
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
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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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!
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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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]
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 + 12Add 3m to both sides.
−10 − 5m + 3m =12Combine −5m and 3m to get −2m.
−10 −2m = 12Add 10 to both sides.
−2m = 12 + 10Add 12 and 10 to get 2.
−2m = 22Divide both sides by −2.
m = 22 / -2Divide 22 by −2 to get −11.
m = −11Therefore, the correct option is "B".
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?
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!
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?
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
- What is the value of x in the figure
(5x)
140
Answer:
Step-by-step explanation:
5x = 140
= x = 140/5
= x = 28
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
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, -8What 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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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!!
Answer:
20 units
Step-by-step explanation:
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.
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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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
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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A system of three linear equations in three unknowns can have exactly three solutions.
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.
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
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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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%
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