The answer is that there are 8 green pins and 12 yellow pins remaining in the bag after Yaqub gives a green pin to his sister.
Describe Probability?Probability is a branch of mathematics that deals with the study of random events or phenomena. It is used to measure the likelihood or chance of an event occurring. Probability is represented as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.
The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. For example, if a fair coin is flipped, the probability of getting heads is 1/2, since there is one favorable outcome (heads) out of two possible outcomes (heads or tails).
There are two main types of probability: theoretical probability and empirical probability.
Theoretical probability is based on mathematical calculations and assumes that all outcomes are equally likely. For example, the theoretical probability of rolling a six on a fair die is 1/6, since there is one favorable outcome out of six possible outcomes.
Empirical probability is based on observations and experiments and reflects the actual frequency of an event occurring. For example, the empirical probability of rolling a six on a particular die after many rolls may be different from the theoretical probability due to factors such as bias or chance.
Probability is used in many real-life situations, such as in games of chance, insurance, stock market analysis, and weather forecasting. It is also used in various fields of science, such as physics, biology, and chemistry, to model and analyze the behavior of complex systems.
Let's start by using algebra to represent the information given in the problem.
Let G be the number of green pins in the bag, and Y be the number of yellow pins in the bag. We know that:
G + Y is the total number of pins in the bag.
G/(G + Y) = 3/7, since 3/7 of the pins are green.
(G - 1)/[(G - 1) + Y] = 2/5, since after Yaqub gives a green pin to his sister, there are (G - 1) green pins remaining out of (G - 1 + Y) total remaining pins.
To solve for G and Y, we can use algebra to manipulate the equations:
G/(G + Y) = 3/7 can be simplified to 7G = 3(G + Y), which gives us 4G = 3Y.
(G - 1)/[(G - 1) + Y] = 2/5 can be simplified to 5(G - 1) = 2(G - 1 + Y), which gives us 3G - 2Y = 3.
We now have two equations with two variables, so we can solve for G and Y using substitution or elimination. For simplicity, we will use substitution.
From 4G = 3Y, we can solve for Y in terms of G:
Y = (4/3)G
Substituting this into 3G - 2Y = 3, we get:
3G - 2(4/3)G = 3
Simplifying, we get:
G = 9
Therefore, there are 9 green pins in the bag. Using the equation Y = (4/3)G, we get:
Y = (4/3)(9) = 12
So there are 12 yellow pins in the bag. After giving one green pin to his sister, Yaqub has 8 green pins and 12 yellow pins remaining in his bag. To check that 2/5 of the remaining pins are green, we can calculate:
8/(8+12) = 4/10 = 2/5
Therefore, the answer is that there are 8 green pins and 12 yellow pins remaining in the bag after Yaqub gives a green pin to his sister.
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jill has a pail of water that holds 6 1/2 quarts. She needs to give some pants 1/8 quart each. How many plants can she water?
Jill can water 52 plants.
One quart has what meaning?A measurement of volume or capacity in the US Customary System that is equivalent to 14 gallons or 32 ounces and is used for liquids (0.95 liter).
We must divide the pail's overall capacity by the quantity of water required by each plant to determine how many plants Jill can water.
Let's first translate 6 1/2 gallons into a mixed number:
6 1/2 = 13/2
Then, we can divide the pail's total capacity by the quantity of water that each plant requires:
(13/2) / (1/8) = (13/2) * (8/1) = 104/2 = 52
Jill is then able to water 52 plants.
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I need help with finding the missing side length
The missing side length of the triangle is:
UT = 54
How to find the missing sidelength?Here we can assume that the two triangles are similar triangles, that means that the quotient between the correspondent sides must be equal.
That means that:
KL/UV = ML/UT
And we know that:
KL = 130
ML = 117
UV = 60
UT = ?
Replacing that we can write:
130/60 = 117/?
Solving for the missing value we will get:
? = 117*(60/130) = 54
That is the missing side length.
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PLEASE HELP ITS DUE ANY MINUTE
The image is an enlargement of the pre-image |s| > 1. The image is a reduction of the pre-image 0 < |s| < 1. The image is the same as the pre-image rotated 180 s = 1.
What is scale factor?We double the length of each of the original shape's sides by a quantity known as a scale factor to enlarge a given shape. The shape will become smaller or larger depending on the scale factor, which can range from 0 to 1. If the scale factor is greater than 1, the shape will become larger. The image, for instance, displays a dilation with a scale factor of two.
The image is an enlargement of the pre-image |s| > 1.
The image is a reduction of the pre-image 0 < |s| < 1.
The image is the same as the pre-image rotated 180 s = 1.
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A go-kart track is 1 2/10 kilometers long. you complete 8 laps. how many meters do you travel?
Answer:
12800 meters.
Hope that helps!!!
You travel 9600 meters after completing 8 laps on a 1 2/10 kilometers long go-kart track.
What is an expression?In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
The length of the go-kart track is 1 2/10 kilometers, which can be converted to meters as follows:
1 kilometer = 1000 meters
2/10 kilometer = 2/10 x 1000 = 200 meters
So, the length of the go-kart track in meters is:
1 2/10 kilometers = 1 x 1000 + 2/10 x 1000 = 1200 meters
To find the total distance you travel after completing 8 laps, you need to multiply the length of the track by the number of laps:
Total distance = 8 x 1200 meters = 9600 meters
Therefore, you travel 9600 meters after completing 8 laps on a 1 2/10 kilometers long go-kart track.
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I need help with this question from Geometry...
Answer: B. 240
Step-by-step explanation: Hi there here is why your answer is this:
Area = b × h
= 12 × 20
= 240 feet2
Hope this helps you!
Which of the following is equal to Square Root of 16*4 (Sort of looks like this v/16*4)
A. v/ 16/4
B. 64
C. 32
D. v/ 16 * v/ 4
The square root of 16*4 can be simplified as follows:
Square root of 16*4 = Square root of (16) * Square root of (4) = 4 * 2 = 8
Therefore, the answer is not A, B, or D. The correct answer is C) 32.
Answer:
The square root of 16*4 can be simplified as follows:
Square root of 16*4 = Square root of (16) * Square root of (4) = 4 * 2 = 8
Therefore, the answer is not A, B, or D. The correct answer is C) 32.
Step-by-step explanation:
Identify each as function even, odd, or neither. Explain or show your reasoning.
1. the function k shown here:
k
YA
2-1
2. the function f defined by f(x) = 3* +3**
N
X
As k(-x) = -k(x), the function k is indeed an odd function. By switching the words in f, we can observe that f(-x) Equals f(x) (x). Hence, f is an even function.
What is a brief explanation of function?A collection of inputs or one output for each input are referred to as a "function" in this sentence. Simply described, a function is a connection between inputs where each input is connected to exactly one output. Each function has a domain, codomain, or range.
According to the given information:1.The function k is an odd function.
A function is odd if f(-x) = -f(x) for all x. In the case of function k, we have:
k(-x) = 2 - 1(-x) = 1 + 2x
k(x) = 2 - 1(x) = 1 + 2x
Therefore, k(-x) = -k(x), and the function is odd.
2.The function f is an even function.
A function is even if f(-x) = f(x) for all x. In the case of function f, we have:
f(-x) = 3^(-x) + 3^x
f(x) = 3^x + 3^(-x)
We can see that f(-x) = f(x) by swapping the terms in f(x). Therefore, f is an even function.
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A glass case is in the shape of a rectangular prism. The volume of the case is 4/125 cubic foot. How many cubic blocks with a side length of 1/5 foot would be required to find the volume of glass case?
2
3
4
5
A glass case is in the shape of a rectangular prism where the volume of the case is 4/125 cubic foot. The number of cubic blocks with a side length of 1/5 foot required to find the volume of glass case is option C: 4.
What is the rectangular prism?
A rectangular prism, also known as a rectangular parallelepiped, is a three-dimensional solid shape that has six faces, where each face is a rectangle.
The volume of the glass case is 4/125 cubic foot. We can write this as:
V = l × w × h = 4/125
where l, w, and h are the length, width, and height of the rectangular prism, respectively.
To find how many cubic blocks with a side length of 1/5 foot would be required to find the volume of the glass case, we need to find the number of cubic blocks that can fit in the rectangular prism. Since the side length of each block is 1/5 foot, the volume of each block is (1/5)^3 = 1/125 cubic foot.
Therefore, the number of cubic blocks required is:
number of blocks = V / volume of one block
number of blocks = (4/125) / (1/125)
number of blocks = 4
So, we would need 4 cubic blocks with a side length of 1/5 foot to find the volume of the glass case.
Hence, the answer is 4.
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Write an expression that is equivalent to 734+356 − 134that uses addition instead of subtraction.
The expression that is equivalent to 734 + 356 - 134 using addition instead of subtraction is:
734 + 356 + (-134)
Answer:
706+350 = 956
calculate 10% of 360km
Answer:36
Step-by-step explanation:360 * 0.1 = 36 or 360/10 = 36
I need help figuring out This problem .
The value of x in the two congruent triangles is 3.9 and length CB is 53.9.
What is the value of x in the given triangle?The value of x can be determined by applying the principle of congruent theorem.
The congruent theorem states that, if all the three sides of one triangle are equal to all the three sides of another triangle, then both the triangles are congruent to each other.
( 11x + 11 ) / 77 = 21 / 30
11x + 11 = 53.9
11x = 53.9 - 11
11x = 42.9
x = 42.9 / 11
x = 3.9 units
The length of CB = ( 11 x 3.9 ) + 11 = 53.9
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What is F(1) (evaluate the function
F(1) is equal to 0 for the given function F(x).
According to given condition :In order to evaluate a function at a specific value, you simply substitute that value for the input variable in the function and simplify the resulting expression.
If you are given a specific function F(x) and are asked to evaluate it at a specific value, say F(1), then you would substitute x=1 in the function F(x) and simplify the expression.
For example, if [tex]F(x) = x^2 + 2x - 3[/tex], then to evaluate F(1), we substitute x=1 in the expression:
[tex]F(1) = (1)^2 + 2(1) - 3[/tex]
Simplifying the expression, we get:
F(1) = 1 + 2 - 3 = 0
Hence, F(1) is equal to 0 for the given function F(x).
What is function ?A function is a mathematical rule that takes an input value, processes it, and produces an output value. The input value is called the independent variable, and the output value is called the dependent variable, because its value depends on the input.
A function can be represented in various ways, such as an algebraic expression, a graph, a table, or a verbal description. For example, the function f(x) = 2x + 1 is an algebraic expression that represents a linear function, where the independent variable is x and the dependent variable is f(x).
Functions are used to describe and model relationships between variables in various fields of mathematics, science, engineering, economics, and other disciplines. They are important tools for analyzing and solving problems, and they can be used to make predictions, optimize processes, and design systems.
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Solve the inequality from part A for x. Then use the drawing tools to graph the solution set on the number line.
On the number line, mark the endpoint at 10 with a closed circle.
Next, draw a ray to the right of 10.
What is an inequality?In Mathematics, an inequality simply refers to a mathematical relation that is typically used for comparing two or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:
Less than (<).Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).Next, we would collect like-terms and rearrange the expression as follows;
1,558 + 60x ≥ 2,158
60x ≥ 2,158 - 1,558
60x ≥ 600
x ≥ 10
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Complete Question:
Solve the inequality from part A for x. 1,558 + 60x ≥ 2,158.
Then use the drawing tools to graph the solution set on the number line.
On the number line, ________________.
Next, draw a ray to the ____ of 10.
what is 24cm in inch?
24 centimeter is approximately equal to 9.4488 inches ( rounded to four decimal places )
To convert 24 cm to inches, we can use the following formula:
1 cm = 0.393701 inches
The conversion is the process of changing the unit of one quantity to another units
The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing
Therefore,
The length in inches = conversion factor × The length in centimeter
Substitute the values in the equation
24 cm = 24 x 0.393701
Multiply the numbers
= 9.4488 inches ( rounded to four decimal places )
Therefore, 24 centimeter is 9.4488 inches
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Does the Laplace Transform Method apply to the following equations?
a.)y′′′+4y′′−3y′+8y=sin(3t)
b.)3y′′+5y′−10y=0
c.)3y′′+2y′−3y=cos(t)
d.)(e^t)y′′+ty′−5(t^2)y=0
e.)yy′=sin(t)
f.)yy′′+5y′=5
g.)y′=sin(y)
h.)2y′+5y=sin(t)
The Laplace Transform Method can be used to solve all of these equations except for equation (e).
a.) Yes, the Laplace Transform Method can be used to solve this third-order linear differential equation with constant coefficients and a nonhomogeneous term.
b.) Yes, the Laplace Transform Method can be used to solve this second-order linear homogeneous differential equation with constant coefficients.
c.) Yes, the Laplace Transform Method can be used to solve this second-order linear differential equation with constant coefficients and a nonhomogeneous term.
d.) Yes, the Laplace Transform Method can be used to solve this second-order linear homogeneous differential equation with variable coefficients.
e.) No, the Laplace Transform Method cannot be used to solve this first-order nonlinear differential equation.
f.) Yes, the Laplace Transform Method can be used to solve this second-order linear differential equation with constant coefficients and a nonhomogeneous term.
g.) Yes, the Laplace Transform Method can be used to solve this first-order nonlinear differential equation.
h.) Yes, the Laplace Transform Method can be used to solve this first-order linear differential equation with constant coefficients and a nonhomogeneous term.
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What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Slope of the given graph is 2.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Let us take two points to find the slope of line.
The two points are (4, 1) and (6,5)
m=5-1/6-4
m=4/2
m=2
Hence, slope of the given graph is 2.
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4(3p+3)=60 what does p mean
Answer: p = 4
Step-by-step explanation:
Because 3 * 4 + 3 = 15 which is then multiplied by 4 equaling 60
Answer:
p=4
Step-by-step explanation:
4(3p +3) = 60
12p + 12 = 60
-12 -12
___________
12p = 48
p = 4
Which expression is equivalent to |x| < 11?
Responses
x > –11 or x < 11
x > –11 or x < 11
x < –11 and x > 11
x < –11 and x > 11
x < –11 or x > 11
x < –11 or x > 11
x > –11 and x < 11
Answer:
x > -11 and x < 11
Step-by-step explanation:
Find the absolute value of a number gives you its distance from zero, which is just the numerical parts of it. From this we can reason that the numbers between -11 and 11 have an absolute value less than 11, as they are the numbers that are less than 11 away from zero. This can be represented as -11 < x < 11, and can be separated into x > -11 and x < 11 (the "and" is because x has to fulfill both conditions of being greater than -11 and less than 11).
whats the common denominatior of 1/2 3/4 3/7
Answer:
28
Step-by-step explanation:
Smallest common multiple of 2, 4 and 7 -> 28
After 35 games of a football season, Manchester United won 14 games and lost 21 games at this rate how many games will they win in a 54 game season
The number of games they win is 22 games for 54 game season.
What is proportion?
In mathematics, a proportion is a statement that two ratios are equal. A ratio is a comparison of two quantities or values, usually expressed as a fraction. For example, the ratio of boys to girls in a class might be expressed as 3/5, meaning that for every 3 boys in the class there are 5 girls.
Explanation:
Assuming that Manchester United's winning and losing rates remain the same throughout the season, we can use a proportion to estimate how many games they would win in a 54 game season:
wins / total games = winning rate
Using the data given in the problem, we can find the winning rate as:
14 / 35 = 0.4
So, Manchester United's winning rate is 0.4, or 40%.
To estimate how many games they would win in a 54 game season, we can set up a proportion:
wins / total games = winning rate
x / 54 = 0.4
Solving for x, we get:
x = 54 * 0.4 = 21.6
Rounding to the nearest whole number, we get an estimate of 22 games that Manchester United would win in a 54 game season, assuming their winning and losing rates remain the same as the first 35 games.
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conversion a) 192 km b) 15500 dam c) 85000 m d) 3360 hm e) 860000 dm
The given length measurements are converted and given below.
What is unit conversion?Unit conversion is a process with multiple steps that involve multiplication or division by a numerical factor or, particularly a conversion factor.
Given is to convert the given measurements as -
a) 192 km
b) 15500 dam
c) 85000 m
d) 3360 hm
e) 860000 dm
We can write the measurements as -
a) 192 km
192 Km = 192000 meters
b) 15500 dam
15500 dam = 15500 x 10 = 155000 meters
c) 85000 m
85000 m = (85000/1000) Km = 85 Kilometers
d) 3360 hm
3360 hm = 3360 x 100 = 336000 meters
e) 860000 dm
860000 dm = 860000 x 0.1 = 860000 x 1/10 = 86000 meter
Therefore, the given length measurements are converted and given above.
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The binomial probability distribution is a __________ probability distribution that describes probabilities for experiments in which there are two __________ outcomes.
discrete
mutually exclusive
The binomial probability distribution is a discrete probability distribution that describes probabilities for experiments in which there are two mutually exclusive outcomes.
The binomial distribution is the discrete probability distribution that gives only two possible results in an experiment, either success or failure.
In binomial probability distribution, the number of ‘Success’ in a sequence of n experiments, where each time a question is asked for yes-no, then the boolean-valued outcome is represented either with success/yes/true/one (probability p) or failure/no/false/zero (probability q = 1 − p). A single success/failure test is also called a Bernoulli trial or Bernoulli experiment, and a series of outcomes is called a Bernoulli process.
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i need someone smart to answer this question
The other two exterior angles are the ones in option 4.
105° and 115°
How to find the other two exterior angles of a triangle?Remember two things:
The sum of the exterior angles of any triangle is equal to 360°The sum between an interior angle and the correspondent exterior angle is equal to 180.You can use any of these two to find the answer, I will use the first one.
If one of the exterior angles is 140°, then the only option that adds up to 360° is the lastoption
140° + 115° + 105° = 360°
So that is the correct option.
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How many minutes in 420 seconds?
Answer: 7 minutes
Step-by-step explanation:
There is 1 minute every 60 seconds
So if we divide the amount of seconds by 60 we will get the answer.
Therefore our equation is: 420/60
420/60=7
SO the answer is 7 minutes
Hope this helps! :)
please help ASAP!!!!!!!!
The diameter of the circle is 30 units, and the equation is:
(x + 3)^2 + (y - 3)^2 = 15^2
How to find the equation of the circle?We know that the diameter of the circle is defined by the points (12, 3) and (-18,3)
Notice that the y-value is the same one in both points, then the diameter is the difference between the x-values:
d = 12 - (-18) = 30
The diameter is 30 units.
Then the radius, half the diameter, is 15 units.
To write the circle equation we need to find the center.
Because of the points (12, 3) and (-18,3) we know that the y-value of the center must be y = 3.
And the x-value is the midpoint between x = -18 and x = 12, that is:
x = (-18 + 12)/2 = -6/2 = -3
The center is at (-3, 3)
Remember that the equation for a circle of center (a, b) and radius R is:
(x - a)^2 + (y - b)^2 = R^2
Here the center is (-3, 3) and the radius is 15, so the equation is:
(x + 3)^2 + (y - 3)^2 = 15^2
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A medium pizza at Benny’s Pizza costs $13.60 plus $2.50 for each topping. At Ricco’s Pizza, a medium pizza costs $14.60 plus $2 for each topping. Which statement is true regarding the price of a medium pizza at the two pizza restaurants?
A.A pizza with three toppings will cost less at Benny's Pizza.
B.A pizza with four toppings will cost less at Ricco's Pizza.
C.A pizza with two toppings will cost more at Ricco's Pizza.
D.A pizza with one topping will cost more at Benny's Pizza.
Answer: A
Step-by-step explanation:
Benny's Pizza
13.60 + 2.50(3)
13.60 + 7.50
21.10
Ricco's Pizza
14.60 + 2(3)
14.60 + 6
21.60
??? HELP im confused
Answer:
a=3
Step-by-step explanation:
the sum of anterior angle of a triangle is =180
57+81+14a=180
138+14a=180
42=14a
42/14=14a/14
3=a
therefore a=3.
please mark me the brainliest.
When can a correlation coefficient based on an observational study be used to support a claim of cause and effect? A. Never B. When the correlation coefficient is close to -1 or +1. C. When the correlation coefficient is equal to -1 or +1. D. When the scatterplot of the data has little vertical variation.
Option A. Never. A correlation coefficient is a measure of the strength and direction of the linear relationship between two variables.
However, a strong correlation between two variables does not necessarily mean that one causes the other. This is because there may be other factors, known as confounding variables, that affect both variables simultaneously. Therefore, it is not appropriate to use a correlation coefficient to establish a causal relationship between two variables. In order to establish causality, more rigorous methods such as randomized controlled trials must be used, which attempt to isolate the effect of one variable on another while holding other factors constant.
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how do I find the % difference between two numbers
Answer: Use the formula C (percent change/ percent difference) = x (the final value)-Y (the initial value) / Y, or C= x-y/y
Step-by-step explanation: This is the official formula. I found that it's easier to use the bigger value in the top x-y first, so you don't have to calculate the absolute value, but other than that the formula is correct.
Tallulah's family took a road trip to the Grand Canyon. Tallulah slept for the last 129 miles of the trip. If the total length of the trip was 300 miles, what percentage of the total trip had they travelled when Tallulah fell asleep?
43% of the total trip had they travelled when Tallulah fell asleep
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Tallulah's family took a road trip to the Grand Canyon.
Tallulah slept for the last 129 miles of the trip.
the total length of the trip was 300 miles
We have to find the percentage of the total trip had they travelled when Tallulah fell asleep
x/100×300=129
3x=129
Divide both sides by 3
x=43%
Hence, 43% of the total trip had they travelled when Tallulah fell asleep
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