The distribution does not represent a probability distribution. The correct option is b.
A probability distribution should satisfy two main conditions: (1) the sum of the probabilities for all possible outcomes should be equal to 1, and (2) the probabilities for each outcome should be between 0 and 1 (inclusive).
In this distribution, the probabilities for the outcomes are 0.3, 0.4, 0.3, and 0.1 for the values of X as 3, 6, 9, and 0, respectively. However, the sum of these probabilities is 1.1, which violates the first condition of a probability distribution.
Therefore, this distribution does not meet the requirements of a probability distribution and is not a valid probability distribution. The correct answer is option b.
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A figure has vertices at A(—3, 2), B(—l, —l), and C(—4, —2). After a transformation,the image of the figure has vertices at A'(3, 2), B'(l, —l), and C'(4, —2). Draw the preimage and image. Then identify the transformation
Answer:
rotate 180° about origin
The preimage and image of the figure are given below. The transformation rule that is applied is (x, y) → (-x, y).
Given a triangle with vertices A(—3, 2), B(—l, —l), and C(—4, —2), which is preimage. Further, an image is created of this triangle that has vertices at A'(3, 2), B'(l, —l), and C'(4, —2). As shown in the given figure.
Now, as per the image and preimage in the given graph. The image is the reflection of the preimage about the y-axis. This can be verified as when the image and preimage are reflected about the y-axis the vertices change as:
(x, y) → (-x, y)
A(-3, 2) → A'(3,2)
B(-1, -1) → B'(1, -1)
C(-4, -2) → C'(4,-2)
Hence, the transformation rule is (x, y) → (-x, y).
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HELP WILL MARK YOU BRAINLIEST, PLS I NEED ASAP
Answer:
Pizza 1: lenght(l)=16 and width(w)=4
Perimeter=40in.
Pizza 2: l=32 and w=2
Perimeter=68in.
Step-by-step explanation:
1. List down factors of 64.
64=1,2,4,8,16,32,64
2. Select the factors you'll be using to draw your rectangles. In this case I selected the factors 2,4,16 and 32 because area of rectangle=l×w. Therefore 2×32=64 and 4×16=64.
3. Draw your rectangles according to the measurements you chose. If the drawing is too big to fit the box you can simply use a scale. Such as 1 inch=4 inches on your drawing. For example, when drawing the length of the second Pizza which is 32in. you can simply draw a line of 8 inches.
4. After drawing your pizzas you niw have to find the Perimeter of both. Simply use the formula Perimeter of a rectangle=2(l+w)
Pizza 1: Perimeter=2(16+4)
=2×20
=40in.
Now do the same for Pizza 2 using its own lengjt and width. Hope this helped.
Dora rents a party room for $70. She pays $5 per guest for
party favors. The expression 70+5g represents the total
cost for a party with g guests. Find the total cost for a party
with 9 guests.
Answer: $115
Step-by-step explanation:
From the question, we are informed that the expression that represents the total cost for a party with g guests was given as:
= 70 + 5g
Therefore, the total cost for a party
with 9 guests will be:
= 70 + 5g
= 70 + 5(9)
= 70 + 45
= $115
valencia theater sold 487 tickets for a play. tickets cost $14 per student with valid valencia identification and $25 per non-student. if total receipts were $8391, how many valencia student tickets and non-student tickets were sold?
354 Valencia student tickets and 133 non-student tickets were sold.
Let's use algebra to solve the problem. Let
x be the number of Valencia student tickets sold
y be the number of non-student tickets sold
We know that
x + y = 487 (the total number of tickets sold is 487)
14x + 25y = 8391 (the total receipts from ticket sales is $8391)
We can use the first equation to express one of the variables in terms of the other. For example, we can solve for y
y = 487 - x
Here we have to use the substitution method, we can then substitute this expression for y into the second equation
14x + 25(487 - x) = 8391
Simplifying and solving for x
14x + 12275 - 25x = 8391
-11x = -3884
x = 354
So, 354 Valencia student tickets were sold. We can use the first equation to find y
x + y = 487
354 + y = 487
y = 133
So, 133 non-student tickets were sold.
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Rewrite as a whole number.
80/8
Answer:
10
Step-by-step explanation:
Harper has $14 in her piggy bank. Her mom pays her $12 for chores. How much does Harper now have in the piggy bank?
Answer:
26
Step-by-step explanation:
14+12=26
1+1=2
4+2=6
Answer:
$26
Step-by-step explanation:
Here is the explanation for this problem.
Harper Starts off with 14 in her piggy bank, then gets payed for chores ($12)
14+12 =26
(Simplfying It down)
10 + 10 = 20
4 + 2 = 6
20 + 6 = 26
Her total amount of money is $26
(Hope this helps luv)
-TheAnimeCatUwU
The table shows the number of miles each person ran this week. Who ran more miles by end of the week . Who ran more miles by end of the week? How many more?
Pat ran more miles by the end of the week with a total of 8.25 miles. Pat ran 0.5 miles more than Toby.
Describe Algebra?Algebra is a branch of mathematics that deals with mathematical expressions and equations, using letters and symbols to represent numbers and quantities. It involves the manipulation and solving of equations and inequalities involving variables.
In algebra, variables are represented by letters, usually x, y, or z, and they can represent any number or quantity. Algebraic expressions are formed by combining variables, numbers, and mathematical operations, such as addition, subtraction, multiplication, and division.
To determine who ran more miles by the end of the week, we need to calculate the total number of miles each person ran. We can do this by adding up the miles from each day:
Pat: 2.75 + 3 + 2.5 = 8.25 miles
Toby: 2 + 2.25 + 3.5 = 7.75 miles
Therefore, Pat ran more miles by the end of the week with a total of 8.25 miles. Pat ran 0.5 miles more than Toby.
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The complete question is:
What is i^34?
A. -1
B. i
C. -i
D. 1
Answer:
A
Step-by-step explanation:
i to an odd power is 1 and i to an even power is -1 so you can see it is A
Reason A bread recipe requires that teaspoon of yoast be added to flour and water. Alejandro only has a teaspoon measuring spoon. How many measuring spoons of yeast will he need to add to the flour and water? Explain your reasoning.
5/8 teaspoon yeast is to be added
Can you show me how to do it step by step and find what x=?
Answer:
11.2 hours
Step-by-step explanation:
The unknown is the hour time: 120+50.30x=250+38.70x. Now solve it: Subtract 38.70 and 120 from both sides and you get 11.6x=130 x=130/11.6 or 11.2 (about)
So the answer is 11.2 hours. Hope this helps :D
Answer:
So your answer is x = 11.2068965517
or
about, X = 11.21 (to the nearest tenth)
Step-by-step explanation:
50.30x + 120 = 38.70x + 250 (Given)
Move variables to the right and constants to the left by subtracting both sides.
11.6x = 130 (subtraction Property of equaity)
x = 11.2068965517 (Division property of equality)
Translate the sentence into an equation.
Twice the difference of a number and 8 equals 6.
Answer:
2(n-8)=6
n = 11
How could you write the numerical expression “4x + 1.25” in words?
https://files-cdn.schoology.com/eff1043385e13ac014eaf6e69f84525b?content-type=app
Answer:
srry i need points
Step-by-step explanation:
Answer:k
Step-by-step explanation:
k
Michael Phelps is one of the most decorated swimmers of all time. He has an incredible 23 gold medals. In the 2016 Olympics Michael Phelps finished ⅖ of his butterfly gold medal race, in 2 ½ minutes. Select the equation(s) that would solve how many minutes he finished the complete race in.
Answer:
6 1/4 minutesStep-by-step explanation:
Let the time of the complete race be x.
Then we have the following equation:
2/5x = 2 1/22/5x = 5/2x = 5/2 ÷ 2/5x = 5/2 × 5/2x = 25/4x = 6 1/4 minutesAnswer: 6 1/4 minutes
Step-by-step explanation:
3/4=m+1/4
What is m
Answer:
m = 1/2
Step-by-step explanation:
We need to solve the equation:
3/4 = m + 1/4
In order to solve for m, we must isolate the variable - in other words, we need to move all the m terms to one side and all the non-m terms to the other.
So, subtract 1/4 from both sides to isolate m:
3/4 - 1/4 = m
m = 2/4 = 1/2
Thus, m = 1/2.
~ an aesthetics lover
what is $0.4\overline 8 0.\overline{37}$? express your answer as a common fraction in lowest terms.
The answer of the given expression as a common fraction in lowest terms is 437/495 .
In the question ,
it is given that ,
the expression is 0.4overline 8 + overline 0.37 ,
that can be written as \(0.4\overline{8}\) + \(0.\overline{37}\)
On further simplifying the above expression further ,
we get ,
= (48 - 4)/90 + 37/99
= 44/90 + 37/99
taking the LCM of 90 and 99 as 990 and solving further ,
we get ,
= 484/990 + 390/990
= ( 484 + 390 )/990
= 874/990
in lowest form it is = 437/495 .
Therefore , the answer to the expression is 437/495 .
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an explanation of an event that is based on repeated observations and experiments is a
An explanation of an event that is based on repeated observations and experiments is a scientific theory
A thorough, well-researched explanation of a natural occurrence constitutes a scientific theory.
We frequently use the word "theory" to refer to a hypothesis or informed guess in common speech, but in science, a theory is an explanation that is the result of a substantial and repeated investigation. The purpose of theories is to explain a broad concept; they are not intended to establish facts
Some of the most well-known and complicated events are explained by scientific theories. The theories of relativity, evolution, and gravity are a handful of the most well-known scientific concepts.
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If the sum of an infinite geometric series is \( \frac{15625}{24} \) and the common ratio is \( \frac{1}{25} \), determine the first term. Select one: a. 625 b. 3125 c. 25 d. 125
The first term of the infinite geometric series is 625.Let's dive deeper into the explanation.
We are given that the sum of the infinite geometric series is \(\( \frac{15625}{24} \)\)and the common ratio is\(\( \frac{1}{25} \).\)The formula for the sum of an infinite geometric series is \(\( S = \frac{a}{1 - r} \)\), where \( a \) is the first term and \( r \) is the common ratio.
Substituting the given values into the formula, we have \(\( \frac{15625}{24} = \frac{a}{1 - \frac{1}{25}} \).\)To find the value of \( a \), we need to isolate it on one side of the equation.
To do this, we can simplify the denominator on the right-hand side.\(\( 1 - \frac{1}{25} = \frac{25}{25} - \frac{1}{25} = \frac{24}{25} \).\)
Now, we have \(\( \frac{15625}{24} = \frac{a}{\frac{24}{25}} \).\) To divide by a fraction, we multiply by its reciprocal. So, we can rewrite the equation as \( \frac{15625}{24} \times\(\frac{25}{24} = a \).\)
Simplifying the right-hand side of the equation, we get \(\( \frac{625}{1} = a \).\)Therefore, the first term of the infinite geometric series is 625.
In conclusion, the first term of the given infinite geometric series is 625, which corresponds to option (a).
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It is known that 10 workers take 30 days to complete a project. They start working and the next day one quits. the next another, the third day another, and so on until the sixth day when they are left alone 5 workers. How many days will it take those 5 workers to finish the job?
Answer:
5 workers finish this work in 60 daysStep by step explanation:
The problem tells us that at the end of the day, there are only 5 workers left, which we must find how many days it takes to finish said work.
We start by finding the type of proportionality we have.
In this case, we have that the more workers there are, they will finish that work in less time, and the fewer workers there are, the longer it will take to finish the work. This is the inverse proportionality, to more less, to less more.
We have only 5 workers left.
In the first case there are 10 workers, and in the second case there are 5 workers left. We find the relationship between the workers in the second case among the workers in the first case.
Ratio = 5 workers / 10 workers = 1/2We see that the time is found by dividing the number of days in which the 10 workers finish the work, by 1/2.
As we know, dividing two fractions is the SAME as multiplying by the inverse fraction.
\(\rm 30 * 2/1 \: = 60 \: days\)
By so
5 workers finish this work in 60 daysWhat are the major differences among the three methods for the evaluation of the accuracy of a classifier: (a) hold-out method, (b) cross-validation, and (c) bootstrap?
The three methods for the evaluation of the accuracy of a classifier are Hold-out method, Cross-validation, and Bootstrap. The major differences among the three methods are explained below:a) Hold-out method:This method divides the original dataset into two parts, a training set and a test set.
The training set is used to train the model, and the test set is used to evaluate the model's accuracy. The advantage of the hold-out method is that it is simple and easy to implement. The disadvantage is that it may have a high variance, meaning that the accuracy may vary depending on the particular training/test split.b) Cross-validation:This method involves dividing the original dataset into k equally sized parts, or folds. This process is repeated k times, with each fold used exactly once as the test set.
The advantage of cross-validation is that it provides a more accurate estimate of the model's accuracy than the hold-out method, as it uses all of the data for training and testing. The disadvantage is that it may be computationally expensive for large datasets, as it requires training and testing the model k times.c) Bootstrap:This method involves randomly sampling the original dataset with replacement to generate multiple datasets of the same size as the original. A model is trained on each of these datasets and tested on the remaining data.
In conclusion, the hold-out method is the simplest and easiest to implement, but may have a high variance. Cross-validation and bootstrap are more accurate methods, but may be computationally expensive for large datasets.
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Under what condition is it NOT possible for an integer a to be divided by an integer b ?
Answer:
An integer, a, cannot be divided by an integer, b, when \(b=0\)
Step-by-step explanation:
There is only one limitation when dividing two numbers. This is that you cannot divide a number by 0 as it is impossible to divide something into 0 groups.
As the integer, b, is the number that symbolized the number of groups something is divided into, this value cannot be 0.
is x^2+y^2=5 a function? why or why not?
Answer:
No.
Step-by-step explanation:
A function must past the Vertical Line Test. We know that our equation x² + y² = 5 is a circle, and so some x-values have the same y-values, etc. Since not every x-value has its own y-value, our equation is not a function.
We can see this using a graph:
Since the vertical line test passes 2 points with the same x-value, it is not a function.
Maura spends $5.50 in materials to make a scarf. She sells each scarf for 600% of the cost of materials.
Complete the sentence by selecting the correct word from the drop down choices.
Maria sells each scarf for Choose... ✓ or
The price that Maura sell each scarf would be =$33. Maura sells each scarf for $33. That is option A.
How to calculate the selling price of each scarf?To calculate the amount of money that Maura spends on each scarf the following is carried out.
The amount of money that she spends on the scarf material = $5.50
The percentage selling price of each scarf = 600% of $5.50
That is ;
= 600/100 × 5.50/1
= 3300/100
= $33.
Therefore, each price that is sold by Maura would probably cost a total of $33.
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Solve for g.
-3 – 5 – 69 = 11 – 3g
Answer:
g=88/3
Step-by-step explanation:
help!!!!!!!!!!!!!!!!!!!!!!
Answer:
6 ≤x
Step-by-step explanation:
12 + 11/6x ≤ 5+3x
Subtract 11/6x from each side
12 + 11/6x - 11/6x ≤ 5+3x-11/6x
Subtract 5 from each side
12 + 11/6x - 11/6x -5 ≤ 5+3x-11/6x-5
7 ≤ 3x-11/6x
Get a common denominator
7 ≤ 18/6x-11/6x
7 ≤7/6x
Multiply each side by 6/7
6/7 *7 ≤ 6/7 *7/6x
6 ≤x
a force of 1 pounds is required to hold a spring stretched 0.2 feet beyond its natural length. how much work (in foot-pounds) is done in stretching the spring from its natural length to 0.6 feet beyond its natural length?
To stretch a spring from its natural length to 0.6 feet beyond its natural length, a work of 0.36 foot-pounds is required.
The work done in stretching a spring is equal to the area under the force-extension graph. Since the force required to hold the spring stretched 0.2 feet beyond its natural length is 1 pound, we can assume that the force required to stretch the spring from its natural length to 0.6 feet beyond its natural length is directly proportional to the extension. Therefore, the force required to stretch the spring 0.4 feet beyond its natural length is 2 pounds.
To calculate the work done in stretching the spring from 0.2 feet beyond its natural length to 0.6 feet beyond its natural length, we can use the formula for work:
Work = Force x Distance
Since the force required to stretch the spring 0.4 feet beyond its natural length is 2 pounds, and the distance over which the force is applied is 0.4 feet, the work done is:
Work = 2 x 0.4 = 0.8 foot-pounds
Therefore, the work done in stretching the spring from its natural length to 0.6 feet beyond its natural length is:
0.8 - 0.2 = 0.6 foot-pounds.
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which of the following triple integrals would have all constant bounds when written in cylindrical coordinates? select all that apply.
The only triple integral that has all constant bounds when written in cylindrical coordinates is the second one, i.e., ∭x2 + y2 dV.
In cylindrical coordinates, a triple integral is given by ∭f(r, θ, z) r dz dr dθ.
To have constant bounds, the limits of integration must not contain any of the variables r, θ, or z. Let's see which of the given triple integrals satisfy this condition.
The given triple integrals are:
a) ∭xyz dVb) ∭x2 + y2 dVc) ∭(2 + cos θ) r dVd) ∭r3 sin2 θ cos θ dV
To determine which of these integrals have all constant bounds, we must express them in cylindrical coordinates.
1) For the first integral, we have xyz = (rcosθ)(rsinθ)(z) = r2cosθsinθz.
Hence, ∭xyz dV = ∫[0,2π]∫[0,R]∫[0,H]r2cosθsinθzdzdrdθ.
The limits of integration depend on all three variables r, θ, and z.
So, this integral doesn't have all constant bounds.
2) The second integral is given by ∭x2 + y2 dV.
In cylindrical coordinates, x2 + y2 = r2, so the integral becomes ∫[0,2π]∫[0,R]∫[0,H]r2 dzdrdθ.
The limits of integration don't contain any of the variables r, θ, or z.
Hence, this integral has all constant bounds.
3) For the third integral, we have (2 + cos θ) r = 2r + rcosθ. Hence, ∭(2 + cos θ) r dV = ∫[0,2π]∫[0,R]∫[0,H](2r + rcosθ)r dzdrdθ.
The limits of integration depend on all three variables r, θ, and z. So, this integral doesn't have all constant bounds.
4) The fourth integral is given by ∭r3 sin2θ cosθ dV. In cylindrical coordinates, sinθ = z/r, so sin2θ = z2/r2.
Also, cosθ doesn't depend on r or z. Hence, the integral becomes ∫[0,2π]∫[0,R]∫[0,H]r3z2cosθ dzdrdθ.
The limits of integration depend on all three variables r, θ, and z. So, this integral doesn't have all constant bounds.
Therefore, the only triple integral that has all constant bounds when written in cylindrical coordinates is the second one, i.e., ∭x2 + y2 dV.
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5x^4-24x^3 24x^2 17 is concave down for_______.
The given function is 5x^4-24x^3+24x^2+17. In order to determine where the function is concave down, we need to find its second derivative. The second derivative of the function is 60x^2-144x+48. To determine where the function is concave down, we need to find the values of x for which the second derivative is negative. Using the quadratic formula, we find that the roots of the second derivative are x=1 and x=4/5. Thus, the function is concave down for x values between 1 and 4/5.
To find whether a function is concave up or down, we need to look at its second derivative. If the second derivative is positive, the function is concave up. If the second derivative is negative, the function is concave down. In this case, we have found that the second derivative is 60x^2-144x+48. To find where the function is concave down, we need to find the values of x for which this second derivative is negative. We can do this by finding the roots of the quadratic equation 60x^2-144x+48=0. Using the quadratic formula, we find that the roots are x=1 and x=4/5. Thus, the function is concave down for x values between 1 and 4/5.
The function 5x^4-24x^3+24x^2+17 is concave down for x values between 1 and 4/5. This means that the function is curving downwards in this interval. It is important to note that this is just one piece of information about the behavior of the function, and we would need to analyze other aspects of the function, such as its critical points and end behavior, to get a complete understanding of its behavior.
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what's the answer to 7n - 7 = 1 +8n
Answer:
N = -8
Hope this helps!
Mark me brainliest if I'm right :)
A jar contains 16 quarters, 6 dimes ,7 nickels and 11 pennies, if one coin is selected at random, what is the probability it is worth more than 5 cents
Answer:
11/20
Step-by-step explanation:
5 cents is worth $0.05.
A quarter is worth $0.25.
A dime is worth $0.10
A nickel is worth $0.05
A penny is worth $0.01
In total there are 40 coins in the jar.
The coins that are worth more than $0.05 dollars are the dimes and quarters, so there are 22 coins worth more than $0.05.
Therefore, the probability of of picking a coin worth more than 5 cents is:
22 / 40 = 11/20