Discrete variables are counted and only take on certain numerical values, while continuous variables are measured and their probability is calculated over a range of values. The difference between them is reflected in their probability distributions: discrete variables create a probability distribution function (PDF), continuous variables form a probability density function (pdf).
Explanation:Discrete and continuous variables are defined based on how they are measured. Discrete variables are counted, represented by certain numerical values. For instance, the number of books in a backpack or the number of miles you drive to work could be discrete variables.
Continuous variables, on the other hand, are measured. Examples include the distance you drive to work or the weight of a book. A characteristic of continuous variables is that the probability of the variable taking on a single, specific value is zero (P(x = c) = 0), therefore probability is calculated over a range of values.
The distinction between discrete and continuous variables is often highlighted by their probability distribution. Discrete variables create a probability distribution function (PDF), such as counts of chosen values for x. Continuous variables form a probability density function (pdf), which is represented as a curve in the graph, with total probability under the curve equaling 1.
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The number of flowers which blossom varies directly as the number of seeds planted. When 55 seeds are planted, 5 flowers blossom.
What is the number of flowers that blossom when 550 seeds are planted?
A.
545
B.
250
C.
50
D.
11
If an angle measures 100 degrees, through what fraction of a circle does the angle turn?
A. 1/100
B. 1/4
C. 100/360
D. 1/2
if I add 9 to my number,I get 6.what is my number?
The value of the number such that if we add it to 9 we get 6 will be -3.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation, subtraction, multiplication, and division.
Let's say that number is x such that by adding 9 we get 6.
Add x and 9 ⇒ x + 9
The result must be 6 ⇒ x + 9 = 6
Subtract both sides by 9
x + 9 - 9 = 6 - 9
x = -3
Hence "The value of the number such that if we add it to 9 we get 6 will be -3".
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Is this Scientific Notation? 0.4 x 10^25
Nathan is making beaded bracelet for every 5 red beads there are 3 white beads. What is the ratio red to white beads?
Two patterns start at 0. The rule in Add 3. The rule for the other pattern is Add five. Examine the number in each pattern. Explain how the numbers in each pattern are similarly
NEEDED ASAP PLEASE
A relation is plotted as a linear function on the coordinate plane starting at point C (0,−1)(0,−1) and ending at point D (2,−11)(2,−11) . What is the rate of change for the linear function and what is its initial value? Select from the drop-down menus to correctly complete the statements.The rate of change is -11, -5, 0, 5.and the initial value is -11, -2, -1, 0.
Answer:
-5,-1
Step-by-step explanation:
I took the test!
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At a concert, you purchase 3 T-shirts and a concert program for a total cost of $90.The program for a total cost $15 and the T-shirts all cost the same. Write and solve an equation to find the cost of one T-shirt
To solve the problem, we created an equation representing the total cost of 3 T-shirts and a program, and then solved it to find the cost of one T-shirt, which is $25.
Explanation:Let's denote the cost of one T-shirt as 'T'. Since the total cost of 3 T-shirts and a program is $90, and we know that the cost of the program is $15, we can write our equation as follows: 3T + 15 = 90.
To solve for 'T', we start by subtracting 15 from both sides of the equation, getting us 3T = 90 - 15 = 75.
Next, we would divide both sides by 3 to find the cost of one T-shirt. Hence T = 75 / 3 = $25. So, the cost of one T-shirt is $25.
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I want to be smart at school and I am getting really for the test too.
I need help :( with this it's kinda confusing
the class had a pizza party 3/8 of a pizza was left over and 4/8 of a pizza with other pizza was left over you put them both into a box how much pizza do you have all together
The cost of 4 pounds of patatoes is 3.50. How many pounds of potatoes can you buy with $14.
You have purchased an aquarium that is:
3 and 1/4 long
1 and 1/3 wide
1 and 3/4 tall
What is the volume of the tank in cubic feet?
In gallons, what is the amount of water in the tank?
1 inch of fish = 2.25 gallons of water. What is the total length of fish you can safely place in the tank?
What is the measure of an angle that turns through one-twelfth (1/12) of a circle?
An angle that turns through one-twelfth of a circle measures 30 degrees.
The measure of an angle that turns through one-twelfth (1/12) of a circle is 30 degrees. A full turn of a circle is 360 degrees, so if we divide that by 12, we get the angle of a single twelfth of a turn. Mathematically, this is calculated as 360 degrees / 12 = 30 degrees. In other terms such as radians, this angle can be calculated as 2π radians (which represents a full turn) divided by 12, giving us π/6 radians, but for middle school mathematics, measuring in degrees is more common.
find the value of x and the measure of angle MNQ
The angle is given as 3x - 13 and 58. The measure of angle MNQ (3x - 13) is 32 degrees.
What are complementary angles?Two angles whose sum is 90° are called complementary angles.
The angle is given as 3x - 13 and 58.
Since the two angles within MNP equal to 90 degrees:
3x - 13 + 58 = 90
3x = 90 - 45
3x = 45
x = 15
Therefore, The measure of angle MNQ (3x - 13) = 32 degrees.
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you should have $16 and a coupon for a $5 discount at a local supermarket. a bottle of olive oil costs$7. how many bottles of olive oil can you buy?
With a total of $21, including the discount coupon, and each bottle of olive oil costing $7, you can buy 3 bottles of olive oil.
Explanation:In your case, you start with $16 and a $5 discount coupon to use at the local supermarket. This gives you an effective total of $16 + $5 = $21 to spend. Each bottle of olive oil costs $7. So, if you divide your total amount of money $21 by the cost of one bottle of olive oil $7, you get 21 ÷ 7 = 3. This means you can buy 3 bottles of olive oil.
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What is the value of 2x{6+[12 divided by (3+1)]}-1
The value of the given expression 2x{6+[12 divided by (3+1)]}-1 is 17 when following the order of operations.
Explanation:To solve the mathematical expression 2x{6+[12 divided by (3+1)]}-1, the first thing you have to do is follow the order of operations, which is abbreviated as PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
Step 1: Solve the operation within parentheses, 12 ÷ (3+1) = 12 ÷ 4 = 3.
Step 2: Subtitute the result back into the equation, 2x{6+[3]}-1.
Step 3: Solve the operation within brackets, {6+[3]} = {9}.
Step 4: Substitute the result back into the equation, 2x{9}-1 = 2x9 - 1 = 18 -1 = 17.
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Don breaks a 4×7 array into a 2×7 and another array. What is the fact for Don's second array?
The fact for Don's second array is 2x7, indicating there are 2 rows and 7 columns in the array.
Explanation:In this question, the student is splitting a 4x7 array into a 2x7 array, and another array.
The 4x7 array has 28 elements. After removing a
2x7 array with 14 elements, we're left with an array that also has 14 elements.
We're not given its dimensions, but if we follow the pattern of the original breakup, it could also be a 2x7 array. Therefore, the fact for the second array is 2x7.
By representing this as multiplication, we're showing that there are 2 rows and 7 columns in the array, which represents the total number of elements.
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A relay team of 4 people runs 3 miles.If each person runs the same distance,How many miles does each person run?
choose exactly two that are correct
To calculate the mean of the data shown in the stem and leaf plot, paper and pencil to record work and technology to add and divide are required.
What is stem and leaf plot?A stem-and-leaf display or stem-and-leaf plot is a device for presenting quantitative data in a graphical format, similar to a histogram, to assist in visualizing the shape of a distribution.
A Stem and Leaf Plot is a special table where each data value is split into a "stem" (the first digit or digits) and a "leaf" (usually the last digit).
The "stem" values are listed down, and the "leaf" values go right (or left) from the stem values.
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A car uses 20 gallons of fuel to travel 440 miles. How much fuel will the car use to travel 1054 miles
Simplify 0.75 (5v+11)-0.25 (11+v)
Jane and jill collect yo-yo’s. the ratio of the number of jane’s yo-yo’s to the number of jill’s yo-yo’s is 5:4. if jane will give 15 of her yo-yo’s to her little brother, jane and jill will have the same number of yo-yo’s in their collections. how many yo-yo’s do both girls have together?
The number of yo-yo's Jane and Jill have is required.
The number of yo-yo's Jane has is 75 and Jill has 60 yo-yo's.
The ratio of Jane's yo-yo to Jill's yo-yo is [tex]\dfrac{5}{4}[/tex]
Let x be the number of yo-yo's Jane has
y be the number of yo-yo's Jill has
[tex]\dfrac{x}{y}=\dfrac{5}{4}[/tex]
When Jane's gives 15 of her yo-yo's away both will have the same number of yo-yo's so
[tex]x-15=y[/tex]
substituting in the first equation
[tex]\dfrac{x}{x-15}=\dfrac{5}{4}\\\Rightarrow 4x=5x-75\\\Rightarrow x=75[/tex]
[tex]y=x-15=75-15\\\Rightarrow x=60[/tex]
The number of yo-yo's Jane has is 75 and Jill has 60 yo-yo's.
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How many weeks will the cat food last?
What is the answer 1/2k+6=4k–8
To solve the equation 1/2k + 6 = 4k - 8, subtract 1/2k from both sides, combine like terms, add 8 to both sides, combine constant terms, divide by 3.5, and solve for k to get k = 4.
Explanation:To solve the algebraic equation 1/2k + 6 = 4k - 8, we need to isolate the variable 'k' on one side of the equation. Here are the steps:
Subtract 1/2k from both sides: 6 = 4k - 1/2k - 8.Combine like terms on the right side: 6 = 3.5k - 8.Add 8 to both sides to get all constant terms on the left side: 6 + 8 = 3.5k.Combine the constant terms: 14 = 3.5k.Divide both sides by 3.5 to solve for k: k = 14 / 3.5.Calculate the division: k = 4.Therefore, the solution to the equation is k = 4.
a student did a 340 page essay for 3/4 hours. how much would it take to do 1 page
De un pliego rectangular de foami que mide 96 cm de largo por 72 cm de ancho,se requiere cortar cuadros de la mayor superficie posible ¿cual debe ser la longitud del lado de los cuadros ? ¿Cuantos cuadros se pueden obtener?
which blue word comes between apple and car in the dictionary
The word that comes between apple and car in the dictionary is blue.
What is a dictionary?A dictionary is a reference book that contains an alphabetical list of words in a language or a specific field, along with their definitions, and pronunciation. It serves as a valuable tool for writers, students, and anyone who wants to improve their vocabulary and communication skills.
Dictionaries can be found in both print and digital formats. They can cover a wide range of languages, dialects, and specialized fields such as law, medicine, or science.
Some dictionaries also include other features such as synonyms, antonyms, and usage examples. They also contain illustrations to help users understand the meaning and context of words better.
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solve the system of linear equations by substitution.
4x−2y=14
y=12x−1
Answer: x=-3/5 y=-41/5
Step-by-step explanation: Rewrite equations:
y=12x−1;4x−2y=14
Step: Solvey=12x−1for y:
y=12x−1
Step: Substitute12x−1foryin4x−2y=14:
4x−2y=14
4x−2(12x−1)=14
−20x+2=14(Simplify both sides of the equation)
−20x+2+−2=14+−2(Add -2 to both sides)
−20x=12
−20x
−20
=
12
−20
(Divide both sides by -20)
x=
−3
5
Step: Substitute
−3
5
forxiny=12x−1:
y=12x−1
y=12(
−3
5
)−1
y=
−41
5
(Simplify both sides of the equation)
The system of linear equations is solved by substitution, resulting in the solution x=-3/5 and y=6.2.
Explanation:To solve the system of linear equations by substitution, start with the given system:
4x − 2y = 14
y = 12x − 1
Since y is already isolated in the second equation, substitute (12x − 1) for y in the first equation:
4x − 2(12x − 1) = 144x − 24x + 2 = 14−20x + 2 = 14−20x = 12x = −1/20 × 12x = −6/10x = −3/5Now substitute x = −3/5 into the second equation to find y:
y = 12(−3/5) − 1y = −36/5 − 1y = −7.2 − 1y = 6.2The solution for the system of equations is x = −3/5, y = 6.2.
How many factors in the expression 8(+4)(y+4)(z²+4z+7)have exactly two terms?