(70 Points!!!) sixty six percent of adults in a certain country believe that life on other planets is plausible. You randomly select five adults and ask them whether they believe that life on other planets is plausible. The random variable represents the number of adults who believe that life on other planets is plausible. Find the mean, variance, and standard deviation of the binomial distribution for the random variable. Interpret the results.Find the mean of the binomial distribution.
enter your response here (Round to two decimal places as needed.)
Part 2
Find the variance of the binomial distribution.
enter your response here (Round to two decimal places as needed.)
Part 3
Find the standard deviation of the binomial distribution.
enter your response here (Round to two decimal places as needed.)
Part 4
Interpret the results.
On average,
enter your response here out of every 5 adults in the country believe that life on other planets is plausible. In most samples of 5 adults, the number of adults who think life on other planets is plausible would differ from the mean by no more than
enter your response here.
Answers
Mean of the binomial distribution is 3.3 , Variance of the binomial distribution is 1.122 and Standard deviation of the binomial distribution is 1.06.
Given: Sixty-six percent of adults in a certain country believe that life on other planets is plausible. You randomly select five adults and ask them whether they believe that life on other planets is plausible. The random variable represents the number of adults who believe that life on other planets is plausible.
- Mean of the binomial distribution:
Mean, µ = np = 5 x 0.66 = 3.3
- Variance of the binomial distribution:
Variance, σ² = np(1 - p) = 5 x 0.66 x (1 - 0.66) = 1.122
- Standard deviation of the binomial distribution:
Standard deviation, σ = √np(1 - p) = √(5 x 0.66 x 0.34) = 1.06
- Interpretation of results:
On average, 3.3 out of every 5 adults in the country believe that life on other planets is plausible. In most samples of 5 adults, the number of adults who think life on other planets is plausible would differ from the mean by no more than 1.06.
The results can be interpreted as the probability of randomly selecting 5 adults, 66% of adults believe that life on other planets is plausible.
The mean indicates that out of 5 adults 3.3 adults believe in life on other planets.
The variance indicates that the distribution is moderately dispersed and the standard deviation of the binomial distribution is 1.06.
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Related Questions
Use the given conditions to write an equation for the line in the indicated form.
Passing through (2, 2) and perpendicular to the line whose equation is y = 4x + 7;
point-slope form
A)y=-4x-10
B)y-2=-1/4(x-2)
C)y-2=1/4(x+2)
D)y-2=1/4(x-2)
Answers
Answer:
B) y - 2 = (-1/4)(x - 2)
Step-by-step explanation:
Start with the equation of the given line: y = 4x + 7.
Determine the slope of the given line, which is 4.
Since the perpendicular line has a negative reciprocal slope, the perpendicular line's slope is -1/4.
Use the point-slope form of a linear equation: y - y₁ = m(x - x₁), where (x₁, y₁) is the given point and m is the slope.
Substitute the values x₁ = 2 and y₁ = 2 into the point-slope equation: y - 2 = (-1/4)(x - 2).
Simplify by distributing -1/4 to (x - 2): y - 2 = (-1/4)x + 1/2.
Add 2 to both sides to isolate y: y = (-1/4)x + 1/2 + 2.
Simplify further: y = (-1/4)x + 5/2.
The equation in point-slope form for the line passing through (2, 2) and perpendicular to y = 4x + 7 is y - 2 = (-1/4)(x - 2), which matches option B.
whats 1/4 of 1/5 PLS HURRY I WILL MARK YOU BRAINLIEST
Answers
Answer:1/20 or 0.05
Step-by-step explanation:
Answer:
1/20
Step-by-step explanation:
At the office supply store, a ream of paper costs $5.89 and a cartridge of ink costs $38.40. Delilah needs to buy 8 reams of paper and 6 cartridges of ink for her office. She needs to know how much money to bring, so estimate the cost of these supplies.
Answers
Answer:
Step-by-step explanation:
Delilah needs to buy 8 reams of paper which cost $5.89 each, $5.89 x 8 = $47.12
Delilah needs to buy 6 cartridges of ink which cost $38.40 each, $38.40 x 6 = $230.4
We then add $230.4 and $47.12
$230.4 + $47.12 = $277.52.
Delilah needs to bring $277.52 to cover the cost of her supplies.
ASAP Find and compare the measures of the base angles, ∠BCA and ∠CAB. What do you notice about the angle measurements?
Answers
Answer:m∠BCA = m∠CAB = 63.43°. The measurements for the two base angles are equal.
Step-by-step explanation: I did it trust me
Answer:
m∠BCA = m∠CAB = 63.43°. The measurements for the two base angles are equal.
Step-by-step explanation:
plato
Evaluating Expressions with Real Numbers - Item 8069
Which statement best explains why this expression is equal to 1?
0.54 +0.27
0.24 + 0.57
Answers
Answer:
To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. For example 0.54+0.27 and 0.24 +0.57, If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.
hope this helps.
How many cups of a snack mix containing 30% granola should be combined with 4 cups of a snack mix containing 75% granola to get a mixture that contains 40% granola?
А.3
B.8
C.14
D.24
Answers
Answer:
3
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
it is hard. use a calculator.
Is the given number a solution of the equation? Which value of d is a solution to the equation 13 – d = 8? 7 5 4 2
Answers
Answer:
d = 5 is a solution to the equation 13 - d = 8
Step-by-step explanation:
We have to solve 13 - d = 8
Now,
13 - d = 8,
We add d on both sides,
13 - d + d = 8 + d
13 = 8 + d
we subtract 8 from both sides,
13 - 8 = 8 - 8 + d
5 = d
d = 5
Hence the answer is 5
An urn initially contains a single red ball and a single green ball. A ball is drawn at random, removed, and replaced by a ball of the opposite color, and this process repeats so that there are always exactly two balls in the urn. Let Xn be the number of red balls in the urn after n draws, with X0 = 1. Specify the transition probabilities for the Markov chain {Xn}.
Answers
The state space for the Markov chain {Xn} is {0, 1, 2}. At any time, Xn can only be 0, 1, or 2, depending on how many red balls are in the urn.
The transition probabilities for the Markov chain are as follows:
If Xn = 0, the next state Xn+1 can only be 1, with a probability of 1.0.
If Xn = 1, the next state Xn+1 can either be 0 or 2, with a probability of 0.5 each.
If Xn = 2, the next state Xn+1 can only be 1, with a probability of 1.0.
So, the transition probabilities can be represented in a transition matrix as follows:
P = [ [0, 1, 0],
[0.5, 0, 0.5],
[0, 1, 0]
]
This transition matrix represents the probabilities that the Markov chain will transition from one state to another in one step.
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If g is the midpoint of AB, classify each triangle by its angles and sides
Answers
Each triangle can be classified by its angles and sides in the following ways :
triangle CFE = triangle CFE is a right angle triangle ( as one of its interior angle measures 90° ) . Triangle CFE is also a scalene triangle ( as none of its sides are equal ) .triangle BEC = Triangle BEC is a right angle triangle . It is also a scalene triangle ( as none of its sides or angle are equal ) .triangle BFG = triangle BFG is an equilateral triangle ( all of its sides are equal ) and it is also an acute angle triangle ( all of its angle will be equal to 60° , which is acute ) .triangle GAF = Triangle GAF is an isosceles triangle ( two of its sides - GF and GA are equal ) . It is also an obtuse angled triangle ( one of its angle measures 120° ) .c) A human resource analyst wants to know if the applicants this year score, on average, higher on their placement exam than the 52.5 points the candidates averaged last year. She samples 50 recent tests and finds the average to be 54.1 points. She fails to reject the null hypothesis that the mean is 52.5 points. At the end of the year, they find that the candidates this year had a mean of 55.3 points. Choose the correct answer below. A. The analyst did not make an error. The actual value was 55.3 points, which is close to 52.5. B. The analyst made a Type I error. The actual value was 55.3 points, which is greater than 52.5. C. The analyst made a Type II error. The actual value was 55.3 points, which is greater than 52.5. D. The analyst made a Type II error. The actual value was 55.3 points, which is close to 52.5. E. The analyst made a Type I error. The actual value was 55.3 points, which is close to 52.5.
Answers
Answer:
Option C. The analyst made a Type II error. The actual value was 55.3 points, which is greater than 52.5
Step-by-step explanation:
Answer:
Option C. The analyst made a Type II error. The actual value was 55.3 points, which is greater than 52.5
Step-by-step explanation:
The null hypothesis was the applicants last year score, on average was 52.5 points.
Conclusion: She fails to reject the null hypothesis that the mean is 52.5 points.
At the end of the year, they find that the candidates this year had a mean of 55.3 points.
A type II error occurs when the researcher fails to reject the null hypothesis when it is false. Option C. The analyst made a Type II error. The actual value was 55.3 points, which is greater than 52.5
What's is 20% of 62?
Helpppp
Answers
Answer:
12.4
Step-by-step explanation:
just multiply, or search go.ogle
0.2 * 62 = 12.4
easy
At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.07 and the probability that the flight will be delayed is 0.18. The probability that it will not rain and the flight will leave on time is 0.8. What is the probability that it is raining if the flight has been delayed? Round your answer to the nearest thousandth.
Answers
The probability that it is raining if the flight has been delayed is 0.07, or 7%.
How to calculate the probabilityWe can use the following formula to calculate the probability that it is raining if the flight has been delayed:
P(Rain|Delayed) = P(Rain and Delayed) / P(Delayed)
We are given that P(Rain) = 0.07 and P(Delayed) = 0.18. We can also use the fact that P(Rain and Delayed) = P(Rain) * P(Delayed):
= 0.07 * 0.18
= 0.0126.
Substituting these values into the formula, we get:
P(Rain|Delayed) = 0.0126 / 0.18 = 0.07
Therefore, the probability that it is raining if the flight has been delayed is 0.07, or 7%.
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Please help and thank you
Answers
Daniella: Were you thinking of perpendicular lines?
Ori: It seems like you've got the basic idea, but your definition could be more precise.
Kaori: Yes! Well done. Here, have a cookie. You've earned it.
a) (10 pts) Re-express the given differential equation as a first order differential equation by utilizing matrix
and vector notation and in accordance with ()
= () form.
b) (10 pts) Is the system obtained in (a) stable, neutrally stable of unstable? Determine this using matrix.
c) (10 pts) Compute the eigenvalues and eigenvectors of matrix.
d) (10 pts) Using the results computed in (c) find and matrices and show that =
−
relationship
(i.e., the diagonalization relationship) is a valid relationship.
Answers
a) To re-express the given differential equation as a first-order differential equation using matrix and vector notation, we can rewrite it in the form:
\(x' = Ax\)
where x is a vector and A is a square matrix.
b) To determine the stability of the system obtained in part (a), we need to analyze the eigenvalues of matrix A.
If all eigenvalues have negative real parts, the system is stable.
If at least one eigenvalue has a zero real part, the system is neutrally stable.
If at least one eigenvalue has a positive real part, the system is unstable.
c) To compute the eigenvalues and eigenvectors of matrix A, we solve the characteristic equation
\(det(A - \lambda I) = 0\),
where λ is the eigenvalue and I is the identity matrix.
By solving this equation, we obtain the eigenvalues.
Substituting each eigenvalue into the equation
\((A - \lambda I)v = 0\),
where v is the eigenvector, we can solve for the eigenvectors.
d) Once we have computed the eigenvalues and eigenvectors of matrix A, we can construct the diagonalization relationship as follows:
\(A = PDP^{(-1)}\)
where P is a matrix whose columns are the eigenvectors of A, and D is a diagonal matrix whose diagonal elements are the eigenvalues of A.
To show that this relationship is valid, we can compute \(PDP^{(-1)}\) and verify that it equals A.
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In ΔXYZ, ∠Y is a right angle and sin X = 12/25 Find sec X, tan X, and cos Z in fraction and in decimal form. Round to the nearest hundredth, if necessary.
Answers
Answer:
In ΔXYZ
∠Y is a right angle ∠X and ∠Z are complementary anglessin X = 12/25-------------
sec X = 1/cos X = \(1/\sqrt{1- sin^2X} = 1/\sqrt{1 - 12^2/25^2} = 1/\sqrt{481}/25 = 25/\sqrt{481}\)tan X = sin X / cos X = \(12/{25 : {\sqrt{481} }/25 = 12/{\sqrt{481} }\)cos Z = sin X = 12/25All 8th grade students at a school answered Yes or No to the survey questions shown.
• Do you play a sport? Yes No
Do you play a
Yes No
musical instrument?
.
The same students responded to both questions. The results are shown in the table.
Musical
Instrument
Totals
Sport
Yes No Yes
97 118 59
No
156
Of the 156 students who do not play a musical instrument, 87 of them do not play a sport.
Complete the two-way frequency table to represent the correct number of students in each cell. You must complete all nine
cells of the table for a full correct response.
Answers
Based on the survey results, the statement that is the most accurate is B. Students who play a sport do not tend to play a musical instrument.
What is a Two-Way Table?A table where each cell shows the frequency (or proportion) obtained for that row and column combination for the two variables.
The rows represent the categories for one category variable, the columns represent the categories of a second category variable.
Hence, from the given two-way table, it is seen that the response of the students are recorded and the statement that is the most accurate is B. Students who play a sport do not tend to play a musical instrument.
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The table below shows the survey results of 100 students who were asked 2 questions: “Do you play a sport?” and “Do you play a musical instrument?” Based on the survey results, which statement is the most accurate?
Students who play a sport also tend to play a musical instrument.
Students who play a sport do not tend to play a musical instrument.
Students who do not play a sport tend to play a musical instrument.
Students who do not play a sport also tend not to play a musical instrument.
Find the missing side. Round your answer to the nearest hundredth.
х
28°
42 in
in
Answers
Answer:
The length of the missing side x = 47.57 in
Step-by-step explanation:
Given
Ф = 28°
The length of the side adjacent to the angle Ф is = 42 in
To determine
The hypotenuse x = ?
Using the trigonometric ratio
cos Ф = adjacent / hypotenuse
substitute adjacent = 42 in, hypotenuse = x and Ф = 28°
cos 28° = 42 / x
x = 42 / cos 28°
x = 47.57 in
Therefore, the length of the missing side x = 47.57 in
WILL GIVE BRAINLISES
The coordinate 1 has a weight of 4, and the coordinate 4 has a weight of 2. Find the weighted average.
Answers
Answer: 3
Step-by-step explanation: This is the average between your 2 numbers, 4 and 2.
Answer: its 2
Step-by-step explanation: i guessed and i got it right after this other dud said 3....ITS 2
A cylinder has a radius of 6 meters. Its volume is 1,243.44 cubic meters. What is the height of the cylinder?
Use ≈ 3.14 and round your answer to the nearest hundredth.
Answers
ANSWER
H=11
step-by-step explanation
\(v = \pi {r}^{2} \\ = 1243.44= 3.14 \times 6 \times 6 \times h \\ = 1243.44=113.04h \\ = \frac{1243.44}{113.04} = \frac{113.04h}{113.04} \\ = h = 11 \)
Which expression is equivalent to "9 more than the quotient of x and 5
Answers
The required expression is (x / 5) + 9
Given that we have to build an equation for the statement "9 more than the quotient of x and 5,
So,
This expression represents the quotient of x divided by 5, and then adding 9 to the result.
Therefore,
"9 more than the quotient of x and 5" can be written mathematically as:
(x / 5) + 9
Hence the required expression is (x / 5) + 9
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Ashley is saving money for the newest iPhone. It costs $999.75. She gets a $15 weekly allowance and babysits for 4 hours a week at $13.50 an hour. She gets paid once a week. She pays $4.50 a week for school lunch. She saves the rest of her money.
PART A Write an inequality to find the number of weeks it will take her to save enough money for the iPhone.
PART B Solve the inequality.
PART C Graph the solution to the inequality.
PART D How long will it take her to save enough money to buy the iPhone?
Answers
Answer:
A) 999.75 </= 15w + (4(13.5))w - 4.5w
B) 999.75 </= 64.5w
C) Can't Graph On Here Sorry
D) 15.5 weeks
Step-by-step explanation:
A) 999.75 </= 15w + (4(13.5))w - 4.5w
B) 999.75 </= 15w + 54w - 4.5w
999.75 </= 69w - 4.5w
999.75 </= 64.5w
C) Just graph it, Price needed being Y (Also money), Times (in weeks) being X
D) 999.75/64.5
w >/= 15.5
fv=100000, pmt=4000, i/y=5%, n=10, what is pv?
Answers
The Present value is $6,139.132.
We have,
FV=100000, pmt = 4000, I =5%, n=10
So, The present value formula is
PV=FV / (1 + \(i)^n\)
So, PV = 100, 000 / (1+ 5/100\()^{10\\\)
PV = 100,000 / (1+ 0.05\()^{10\\\)
PV = 100, 000/ (1.05\()^{10\\\)
PV = 100,000 / 1.6288946
PV= $6,139.132
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help pleasee
look in the photo
Answers
Answer: c
Step-by-step explanation:
Because group B has Pharrell lines
The Pool Fun Company has learned that, by pricing a newly released Fun Noodle at $5, sales will reach 7000 Fun Noodles per day during the summer. Raising the price to $6 will cause the sales to fall to 3000 Fun Noodles per day.
Assume that the relationship between sales price, x, and the number of Fun Noodles sold, y, is linear. Use ordered pairs of the form (sales price, number sold).
1. Write an equation in a slope-intercept form describing this relationship.
2. Predict the daily sales of Fun Noodles if the price is $5.50
Answers
1. The equation in a slope-intercept form describing the relationship is y = -4000x + 27000.
2. The daily sales of Fun Noodles at the price of $5.50 is 5000.
How to represent linear equation in slope intercept form?The Pool Fun Company has learned that, by pricing a newly released Fun Noodle at $5, sales will reach 7000 Fun Noodles per day during the summer. Raising the price to $6 will cause the sales to fall to 3000 Fun Noodles per day.
The relationship between sales price, x, and the number of Fun Noodles sold, y, is linear. The ordered pair are (5, 7000) and (6, 3000).
The equation in slope intercept form describing the relationship is as follows:
1. y = mx + b
where
m = slopeb = y-interceptTherefore,
m = 3000 - 7000 / 6 - 5
m = - 4000
Let's find the y-intercept using (6, 3000)
3000 = -4000(6) + b
3000 + 24000 = b
27000 = b
Hence, the equation is y = -4000x + 27000
2. The daily sales of Fun Noodles at the price of $5.50 can be computed as follows;
y = -4000(5.5) + 27000
y = -22000 + 27000
y = 5000
Therefore, the daily sales is 5000.
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PLEASE TELL ME WHAT TO WRITE HERE :’))
Answers
Answer: (Answer in explanation)
Step-by-step explanation:
(12)B > 180
Her goal is to make more than 180 so if she wants to sell each book for $12 then so if she sells 14 books or above she would get more than $180.
So B could equal anything 16 and above but in my case I chose 24
(12)24 = 288 > 180
So write a equation like mine that equals a number that's greater than 180. Keep in mind each book sells for $12 each. Then solve for B which is how many books she has to sell to get the number greater than 180.
determine whether each point is a solution of the linear inequality.Point: (3,4)Inequality: 4x+2y >= 6
Answers
We have to check if the point (3, 4) satisfy the inequality 4x+2y >= 6.
We can check by replacing x and y with the point coordinates:
\(\begin{gathered} 4(3)+2(4)\ge6 \\ 12+8\ge6 \\ 20\ge6\text{ --> True} \end{gathered}\)As the inequality is true, we know that the point is a solution to the inequality.
Answer: Yes, it is a solution.
find the steps to find the inverse
Answers
The inverse of f(x) = x^(7/9) using exponential notation is f(x) = x^(9/7)
what are inverse functions?An inverse function in mathematics is a function that "undoes" another function.
In other words, if f(x) yields y, then y entered into the inverse of f yields the output x.
An invertible function is one that has an inverse, and the inverse is represented by the symbol f⁻¹.
How to find the inverse functionThe given function is of the form
f(x) = x^(7/9), this is equivalent to ⁹√x⁷
say f(x) = y, then
f(x) = y = x^(7/9)
y = x^(7/9)
solving for the inverse, of y = x^(7/9)
y = x^(7/9)
y^(9/7) = x
interchanging the letters
y = x^(9/7)
hence the inverse function is solved to be f⁻¹(x) = x^(9/7)
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What is the length segment of BC
Answers
Set X is the set of all multiples of 6 between 15 and 70.
Which set is equivalent to set X?
A. {6, 12, 18, 24,...}
B. {6, 12, 18, ...,66}
C. {18, 24, 30, 36,...}
D. {18, 24, 30, ..., 66}
E. {18, 24, 30, ..., 70}
Answers
Answer:
D
Step-by-step explanation:
we have 2 conditions
1. to be a multiple of 6
2. to be between 15 and 70
A and B are not correct because have numbers les than 15
C is not correct because the numbers keep on going passed 70
E is not correct because 70 is not a multiple of 6
D is correct because has both conditions meet
The graph shows information about the
height of the tide over 12 hours.
How fast is the depth changing at 11:00?
Give your answer as a fraction in its
simplest form.
Answers
According to the information we can infer that the change between 11 and 12 is 1.3 m/hr
How much does the height of the wave change between 11 and 12?To establish the value of the change in height between 11 and 12 we must look at the values of the y axis. According to this information we can establish that 11 o'clock coincides with 5.2 and 12 o'clock coincides with 3.9. So we must subtract these two values:
5.2 - 3.9 = 1.3According to the above, we can infer that the change between these two hours is 1.3 m/hr.
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