There are 31 students in a class. Each student was asked how many pets he has at home. The table below summarizes the data.
Based on the data, estimate the probability that a randomly selected student from this class has four or more pets at home. Round your answer to the nearest two decimal places.
Please help :DDD
Answers
The estimated probability that a randomly selected student from this class has four or more pets at home is approximately 0.13.
What is probability?Probability is a way to gauge how likely or unlikely something is to happen. Usually, it is stated as a number between 0 and 1, where 0 denotes that an event is impossible and 1 denotes that it is certain to happen.
According to question:Out of the 31 students surveyed, 6 reported having no pets, 8 reported having one pet, 10 reported having two pets, 3 reported having three pets, and a total of 4 (1+2+1) reported having four or more pets.
Thus, the probability that a randomly selected student from this class has four or more pets at home is:
P(four or more pets) = 4/31 ≈ 0.13 (rounded to two decimal places)
Therefore, the estimated probability that a randomly selected student from this class has four or more pets at home is approximately 0.13.
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Related Questions
When we add together the NPV and the false omission rate for any test, why is the sum always 100%?
Answers
The sum of the NPV and false omission rate for any test will always be 100%.
Explaining why is the sum always 100%?The NPV (Negative Predictive Value) is the proportion of people who test negative for a condition and actually do not have it, while the false omission rate is the proportion of people who have the condition but test negative for it.
When we add together the NPV and the false omission rate for any test, we are essentially considering all the cases where the test result is negative.
The NPV represents the proportion of people who truly do not have the condition and test negative for it, while the false omission rate represents the proportion of people who actually have the condition but test negative for it.
Together, these two values cover all possible cases where the test result is negative, which means that they represent the entirety of the negative results for the test.
Since the sum of all probabilities for an event must always equal 100%, the sum of the NPV and false omission rate must also equal 100%.
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What is the value of the digit 7 when 2.7 is multiplied by 10 to the 2nd power
Answers
Answer:
When 2.7 is multiplied by 10 to the 2nd power, it becomes 270. The digit 7 is in the ones place, so the value of the digit 7 is 7.
Step-by-step explanation:
a student performs an experiment where they flip a coin 3 times . if they perform this experiment 200 times, predict the number of repetitions the experiment that will results in exactly two of the three flips landing on tails
Answers
We can predict that out of 200 repetitions of the experiment, approximately 75 of them will result in exactly 2 of the 3 flips landing on tails.
Describe Probability?Probability is a branch of mathematics that deals with the study of random events and the likelihood of their occurrence. It is used to quantify the uncertainty associated with a particular event or outcome. In simpler terms, probability is a measure of the likelihood that a certain event will occur, expressed as a number between 0 and 1, where 0 indicates that the event is impossible and 1 indicates that the event is certain.
There are different types of probability, including classical probability, empirical probability, and subjective probability. Classical probability is based on the assumption of equally likely outcomes, while empirical probability is based on actual observations or experiments. Subjective probability, on the other hand, is based on personal judgment or belief.
The probability of getting tails on any single flip of a fair coin is 1/2. Since we are flipping the coin three times, the probability of getting exactly two tails is given by the binomial probability formula:
P(exactly 2 tails) = (number of ways to get 2 tails out of 3) * (probability of getting tails)² * (probability of getting heads)¹
The number of ways to get 2 tails out of 3 is given by the binomial coefficient "3 choose 2", which is 3. So we have:
P(exactly 2 tails) = 3 * (1/2)² * (1/2)¹ = 3/8
This means that the probability of getting exactly 2 tails in one trial of flipping the coin 3 times is 3/8.
To predict the number of repetitions out of 200 that will result in exactly 2 tails, we can multiply the probability of getting exactly 2 tails in one trial by the total number of trials:
Number of repetitions with exactly 2 tails = P(exactly 2 tails) * total number of trials
Number of repetitions with exactly 2 tails = (3/8) * 200
Number of repetitions with exactly 2 tails = 75
Therefore, we can predict that out of 200 repetitions of the experiment, approximately 75 of them will result in exactly 2 of the 3 flips landing on tails.
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solve the equation -75=y^3+50
Answers
Answer: y = -5
Step-by-step explanation:
We move the constants to one side to get y^3 = -125.
Then, we cube root both sides to get y = -5.
How can you write the explicit rule for a geometric sequence if your know the recursive rule for the sequence?
Answers
The explicit formula for nth term geometric sequence is aₙ = a x rⁿ⁻¹.
let a geometric series is of the form
a, a², a³, a⁴ a⁵, ....
where a₁ = a = first term and other terms are obtained by multiplying by
r.
Now, each term is r times of previous term.
So, to get the nth term we have to multiply (n-1) by r.
Thus, the explicit formula for nth term geometric sequence is
aₙ = a x rⁿ⁻¹
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Let h(x) be the number of hours it takes
a new factory to produce x engines. The
company's accountant determines that
the number of hours it takes depends on
the time it takes to set up the machinery
and the number of engines to be
completed. It takes 6.5 hours to set up
the machinery to make the engines and
about 5.25 hours to completely
manufacture one engine. The
relationship is modeled with the
function b(x)=6.5+5.25%
1. Determine the x and y-
intercepts of the function.
2. Is the function increasing or
decreasing?
Answers
Based on the information, the y-intercept is (0, 6.5).
The function is increasing.
How to calculate the interceptBased on the information, we can use the variable x. This will be:
0 = 6.5 + 5.25%x
-6.5 = 5.25%x
x = -6.5 / 5.25% ≈ -123.81
There's no x intercept due to the negative value which doesn't make sense in this scenario.
In order to find the y-intercept, we set x = 0 and evaluate b(x):
b(0) = 6.5 + 5.25% × 0 = 6.5
Therefore, the y-intercept is (0, 6.5).
The function b(x) is increasing since the coefficient of x is positive (5.25%). This means that as the number of engines produced (x) increases, the time it takes to manufacture the engines also increases.
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Rewrite 84 + 36 in the form
a(b+c)
where a is the greatest common factor of 84 and 36
Answers
The GCF of 84 and 36 is 12.
The GCF of two non-zero integers, x(36) and y(84), is the greatest positive integer m(12) that divides both x(36) and y(84) without any remainder.
GCF of 36 and 84 by Listing Common Factors
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
There are 6 common factors of 36 and 84, that are 1, 2, 3, 4, 6, and 12. Therefore, the greatest common factor of 36 and 84 is 12.
Rewrite in the form of a(b + c), a is the greatest common factor of 84 and 36
84/ 12 = 7
36/12 = 3
So, 12(84 + 36)
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find the slope of (6,1) and (6,-3)
Answers
Answer:
Step-by-step explanation:
find the midpoint between -3,5 and 1,6
Answers
Step-by-step explanation:
Let A(x1,y1)=(-3,1), B(x2,y2)=(5,6) be the points of a line segment.
Mid point = [tex]\sf{ \dfrac{x1+x2}{2} , \dfrac{y1+y2}{2} }[/tex]
Mid point = [tex]\sf{ \dfrac{-3+1}{2} , \dfrac{1+6}{2} }[/tex]
Mid point = [tex]\sf{ \dfrac{-2}{2} , \dfrac{7}{2} }[/tex]
[tex]\large\sf\purple{ 1, \dfrac{7}{2} }[/tex]Triangulation
Here are two-five pointed stars. Both figures A and B are polygons.They are both composed of line segments and are
two dimensional. Neither have curves. Do you agree with the statement?
Answers
A plane is an infinite two-dimensional figure.
We have,
When two planes intersect, they form a line.
The vector equation for the line of intersection is given by
r = r₀ + tₓ
where r₀ is a point on the line
tₓ is the cross product of the normal vectors of the two planes.
The parametric equations for the line of intersection are given by
x = a , y = b and z = c
where a, b and c are the coefficients from the vector equation
r = a (i) + b (j) + c (k)
The line of intersection will be perpendicular to the normal of both the planes
The line of intersection lies on both the planes
Therefore , a line is observed at the intersection of two planes
Given data ,
A line is one-dimensional, a segment is a part of a line and is also one-dimensional, and a point is zero-dimensional.
A plane, on the other hand, is a flat, two-dimensional surface that extends infinitely in all directions.
It has length and width, but no thickness, and can be thought of as an infinitely large sheet of paper.
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complete question:
Which of the following is an infinite two-dimensional figure?
A. A line
B. A plane
C. A segment
D. A point
5. Graph f(x)=x + 3
x-2
Answers
Answer:
1) f(-2) = -2 + 3
2) f(-2) = 1
In 1995, 13,000 Internet users were surveyed and asked about their willingness to pay fees for access to websites. Of these, 2,938 were definitely not willing to pay such fees. How large a sample is necessary to estimate the proportion of interest to within 2 percent in a 95 percent confidence interval?
Answers
A sample size of at least 1,521 Internet users would be necessary to estimate the proportion of interest (the proportion of Internet users who are willing to pay fees for website access) to within 2 percent in a 95 percent confidence interval.
To calculate the sample size required to estimate a proportion with a certain level of confidence and margin of error, we can use the following formula:
[tex]n = (Z^2 \times p \times (1 - p)) / E^2[/tex]
where:
n is the required sample size
Z is the Z-score for the desired level of confidence (95% confidence corresponds to a Z-score of 1.96)
p is the estimated proportion of interest (the proportion of Internet users who are willing to pay fees for website access)
E is the desired margin of error (2% in this case, expressed as a decimal)
We are given that out of a sample of 13,000 Internet users surveyed in 1995, 2,938 were definitely not willing to pay fees for website access. This means that the proportion of interest (p) is:
p = (13,000 - 2,938) / 13,000 = 0.774
Now we can plug in the values and solve for n:
[tex]n = (1.96^2 \times 0.774 \times (1 - 0.774)) / 0.02^2[/tex]
n ≈ 1,521
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Find the marginal revenue curve under monopoly market. 1. When the demand curve is P = -5Q + 25, the Marginal Revenue curve is MR = Q+ 2. When the demand curve is P = -0.5Q + 12, the Marginal Revenue curve is MR = Q +
Answers
The marginal revenue curves for the given demand curves are: MR = -0.5 Q + 12 In a monopoly market, the marginal revenue curve is always below the demand curve. This is because a monopolist can only increase their revenue by decreasing the price of their product, and therefore they must lower the price for all units sold, not just the last one.
For the first demand curve, P = -5Q + 25, the marginal revenue curve can be found by taking the derivative of the demand curve with respect to Q. This gives us:
MR = dP/d Q = -5
So the marginal revenue curve is a horizontal line at MR = -5. Adding the intercept of the demand curve at P = 25, we get:
MR = -5Q + 25
For the second demand curve, P = -0.5Q + 12, the marginal revenue curve can be found in the same way:
MR = dP/dQ = -0.5
So the marginal revenue curve is a horizontal line at MR = -0.5. Adding the intercept of the demand curve at P = 12, we get:
MR = -0.5Q + 12
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A teacher poses this problem: I am thinking of four numbers, a, b, c, and d, where a 0, b 0, c 0, and d 0 What else do you need to know to plot the four numbers in the correct order on a number line? What two questions should you ask? Explain how the answers would help you plot the numbers on a number line
Answers
The two questions should you ask are:
What is the smallest number among the values (a, b, c, and d)What is the largest number among the values (a, b, c, and d)Why ask the question above?The given answers to the above questions, one can be able to know the ranges of values that the four numbers have, as well as their relative positions.
In the event that we know the smallest and biggest numbers, we can be ready to mark those points on the number line and after that put the other two numbers in between them agreeing to their relative positions.
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Solve the simultaneous equation
x² + y² = 1
5x+12y +13=0
Answers
The two solutions to the system of equations are (x,y) = (7/5,-3) and (x,y) = (144/65,-12/13).
What is quadratic equation?
it's a second-degree quadratic equation which is an algebraic equation in x.
We can use substitution to solve this system of equations.
First, we solve the second equation for one of the variables, say x:
5x + 12y + 13 = 0
5x = -12y - 13
x = (-12/5)y - (13/5)
Next, we substitute this expression for x into the first equation:
x² + y² = 1
[(-12/5)y - (13/5)]² + y² = 1
Expanding the square and simplifying, we get:
y² + [(144/25)y² + (312/25)y + (169/25)] + y² = 1
(26/5)y² + (312/25)y + (144/25) = 0
Multiplying both sides by 25 to eliminate the fractions:
26y² + 312y + 144 = 0
Dividing by 4 to simplify:
6.5y² + 78y + 36 = 0
Using the quadratic formula:
y = (-b ± sqrt(b² - 4ac)) / 2a
where a = 6.5, b = 78, and c = 36.
Plugging in these values:
y = (-78 ± sqrt(78² - 4(6.5)(36))) / 2(6.5)
y = (-78 ± sqrt(4761)) / 13
y = (-78 ± 69) / 13
y = -3 or -12/13
If y = -3, then substituting into the equation for x gives:
x = (-12/5)(-3) - (13/5) = 7/5
So one solution is (x,y) = (7/5,-3).
If y = -12/13, then substituting into the equation for x gives:
x = (-12/5)(-12/13) - (13/5) = 144/65
So another solution is (x,y) = (144/65,-12/13).
Therefore, the two solutions to the system of equations are (x,y) = (7/5,-3) and (x,y) = (144/65,-12/13).
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HELPPPP ASAPPP WILLL GIVE BRAINLEST
Answers
Answer:
2) The smallest amount of fabric Amy can buy is 78 inches = 2 1/6 yards, so she will need 2 1/4 yards of fabric.
3) $2.25(5) + $0.35(2) + $0.25(3) + $0.60 = $13.30 before sales tax
Sales tax is $13.30 × .08 = $1.06
Total is $13.30 + $1.06 = $14.36
RIGHT ANSWER GETS BRAINLIEST AND 11 POINTS ‼️‼️‼️‼️‼️‼️‼️‼️
Answers
Answer:
Less
Step-by-step explanation:
Look at the hundreds number in set L the numbers are greater in Set L than Set K.
Which is not a legal python statement
a) print("x")
b) 3 + 4 = x
c) x = 3 + 4
d) x = eval(input("Enter x: "))
Answers
This statement tries to assign a value to an expression (3 + 4), which is not allowed in Python. In Python, we can only assign values to variables using the = operator.
Option a) print("x") is a legal Python statement that prints the string "x" to the console.
Option c) x = 3 + 4 is a legal Python statement that assigns the value 7 to the variable x.
Option d) x = eval(input("Enter x: ")) is a legal Python statement that prompts the user to enter a value for x, evaluates the input expression, and assigns the result to the variable x.
Drag the tiles to the correct boxes to complete the pairs *Not all tiles will be used*
Match the correct volume formula with each described figure
1. V = 1/2 * pi * x ^ 3;
2. V = x ^ 3;
3. V = 1/3 * x ^ 3;
4. V = 1/2 * pi * x ^ 3;
5. V = 1/2 * x ^ 3;
6. V = pi * x ^ 3
A. a prism with a height of x cm and a square base with side length of x cm
B. a cylinder with a radius of x and height of cm
C. a pyramid with a height of x cm and a square base with a side length of x cm
D. a cone with a radius of x cm and height of x cm
Answers
A. a prism with a height of x cm and a square base with side length of x cm = option 2
B. a cylinder with a radius of x and height of cm= option 6
C. a pyramid with a height of x cm and a square base with a side length of x cm = option 3.
How to match the correct formula with the statements given ?For statement A=
The formula for a square based prism= a²h
where a= X
h = X
Vol = x³
For statement B;
The formula for a cylinder=πr²h
where r= X, h= X
Vol= π×x³
For statement C;
The formula for a square based pyramid= 1/3a²h
a = X
H = X
Vol = 1/3 * x³
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1/2 + 1/6 least multiple that is the same add using renamed fraction
Answers
To add these two fractions, we need to rename them so they have a common denominator of 6.
1/2 = 3/6
1/6 = 1/6
Now we can add them together:
3/6 + 1/6 = 4/6
Simplifying 4/6 gives us 2/3.
Therefore, 1/2 + 1/6 = 2/3.
Answer: 2/3
Step-by-step explanation: 1/2 converted to 6ths is 3/6 add them together and it’s 4/6 simplify that and it’s 2/3
The central train station in a large city is located at the intersection of tracks A, B, and C as shown below. pls pls pls respond now!!!!
Answers
a.) The position of the train moving from station A to station B after 10 minutes 20 km east
b.) The position of the train moving from station A to station B after 10 minutes, if station B is assumed to be the origin is 50 km west
c.) The position of the train moving from station A to station B after 10 minutes, if station C is assumed to be the origin is 80 km west
How do we know?we have that:
Railway station - A B C
Distance(km) - 0 30 60
Starts from A , train reaches B be in 15 minutes
Starts from A , train reaches C be in 30 minutes
a.)
If A is origin
As train covers 30km = 15 minutes
⇒ 15 minutes = 30 km
1 minute = km
⇒ 10 minutes = 2×10 = 20 km
The position of the train moving from station A to station B after 10 minutes = 20 km east
b.)
If B is origin then , the position of the train moving from station A to station B after 10 minutes = 30 + 20 = 50 km west
c.)
If C is the origin then , the position of the train moving from station A to station B after 10 minutes = 60 + 20 = 80 km west
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#possible complete question:
Three railway stations, A, B, and C, are situated on a straight railway route. Station B is at 30 km in the east from station A and station C is at 60 km in east from station A. A train, with a constant average velocity, starts from A and reaches B in 15 minutes, and reaches C in 30 minutes. Assuming that station A is the origin, find the following:
a. The position of the train moving from station A to station B after 10 minutes.
b. The position of the train moving from station A to station B after 10 minutes, if station B is assumed to be the origin.
c. The position of the train moving from station A to station B after 10 minutes, if station C is assumed to be the origin.
Choose the correct phrase in the piece.
Answers
Question 9 (5 points)
Use 0= 30° to write x^2/4 - y^2/9=1
in the xy plane. Then identify the conic
Answers
1. 7 x^2 - 9 y^2 = 343 is a hyperbola
2. x^2 + y^2 - 4 x + 6 y - 5 = 1 is a circle
3. 4 x^2 + 9 y^2 = 1 is a ellipse
4. x^2 - 6 y = 0 is a parabola
What is a conic section?A conic section conic or a quadratic curve is described as a curve obtained from a cone's surface intersecting a plane.
The three types of conic section are :
the hyperbola the parabola, and the ellipseAll conics are written in terms of the following equation:
Ax2 + Bxy + Cy2 + Dx + Ey + F = 0.
In conclusion, a conic is the intersection of a plane and a right circular cone.
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#Complete question:
Match the following equations with the conic sections formed by them. 1. x 2 + y 2 - 4x + 6y - 5 = 0 hyperbola 2. x 2 - 6y = 0 circle 3. 4x 2 + 9y 2 = 1 ellipse 4. 7x 2 - 9y 2 = 343 parabola
What function is represented by the mapping diagram shown?
-2
00
6
2135
A. F(x)= x+3
B. F(x)= 3x
C. F(x) = 2x
D. F(x)=x-3
24600
2
8
Answers
Answer:c. F(x)=2x
Step-by-step explanation:
Find the area.
Area =
6 m
10 m
square meters
Answers
Answer:
32m
Step-by-step explanation:
area= L×B
L= 10m ×2 =20m
B= 6m×2 =12m
Area= 20m + 12m = 32m
Hi
6. Sebastian recorded the price of gas each month for 12 months.
a. Draw a trend line on the scatter plot.
b. If the trend continues, what equation can he use to predict
the price of gas in future months?
Gas Price ($)
N
4
O
Gas Price
2 4 6 8 10 12
Month
X
Answers
The trend line for the y = 0.5x + 2 is attached accordingly. Note that the the predicted gas price for month 13 would be $8.50.
What is the explanation for the above response?a. To draw a trend line on a scatter plot, you need to perform a linear regression analysis. This involves finding the line of best fit that passes through the data points. The equation for a linear regression line is typically of the form y = mx + b, where y is the dependent variable (gas price in this case), x is the independent variable (month), m is the slope of the line, and b is the y-intercept.
Once you have the equation for the line of best fit, you can plot it on the scatter plot to visualize the trend. The slope of the line will tell you the direction and steepness of the trend (i.e., whether prices are increasing or decreasing, and how quickly).
b. To predict future values using the trend line, you can simply plug in the value of the independent variable (month) for the month you want to predict, and solve for the dependent variable (gas price). For example, if the equation for the trend line is y = 0.5x + 2, and you want to predict the gas price for month 13, you would plug in x = 13 and solve for y:
y = 0.5(13) + 2
y = 6.5 + 2
y = 8.5
So the predicted gas price for month 13 would be $8.50.
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4. Find volume. Show work, round to 2 decimal places.
*cone*
Answers
Answer: 80
Step-by-step explanation:
Chester has 49 CDs. Tony has 1/7 as many as Chester. How many CDs does Tony have?
Answers
Answer:7
Step-by-step explanation: you divide 49 by 7 which gives you 7
Answer:
7
Step-by-step explanation:
1/7 of 49 would be equal to divided 49 by 7 to find 1 seventh of 49
49/7 = 7
so 1/7 of Chesters 49 CDS is equal to 7 CDS that Tony has.
hope this helps :)
10. Johnny is looking at a map and measures the distance between Chattanooga and Nashville to be 3.5 inches. He wants to know the actual distance between the two cities. According to the scale on the map, 1 inch = 38 miles. How many miles is there between Chattanooga and Nashville?
Answers
according to the question the actual distance between Chattanooga and Nashville is 133 miles.
What is distance ?Distance is an object's total, aimless movement. Without regard to whether anything has a beginning or an end, distance can be defined as the amount of space that something has traversed. Distance is referred to be the breadth or magnitude of the gap between two locations. It should be highlighted that the distance between two points and the length travelled between the two are not the same thing. The total length of a path connecting two locations counts as the distance travelled. Distance is the distance in reality that a body travels. It also goes by the name "path length." For instance, the length of a path for the thing passing via point O and arriving at position P would be OP = 360 m.
given,
If 1 inch on the map represents 38 miles in reality, then 3.5 inches on the map would represent:
3.5 inches * 38 miles/inch = 133 miles
Therefore, according to the scale on the map, the actual distance between Chattanooga and Nashville is 133 miles.
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Does the data in this table represent a function?
X -4 2 -4 2 -4
y -3 1 5 8 9
A. No, it is not a function.
B. Yes, a linear function.
C. Yes, a nonlinear function.
Answers
Answer:
A
Step-by-step explanation:
It is not a function because both x-values -4 and 2 have multiple y-values. Try the vertical line test if you don't understand.
A. No, it is not a function.
Step-by-step Explanation:
A function is a set of ordered pairs where each input (x) has only one output (y).
However, in this table, the input x=-4 has two different outputs, y=-3 and y=5. Similarly, the input x=2 also has two different outputs, y=1 and y=8.
Therefore, it violates the definition of a function, and the correct answer is A. No, it is not a function.