The probability that the coin landed heads given that a red ball was selected is 5/17.
What is the probability that the coin landed heads?The probability that the coin landed heads is determined as follows;
Let the events be:
H: The coin landed heads.R: A red ball was selected.Data given:
P(H) = P(T) = 0.5 (since the coin is fair)
P(R|H) = 3/14 (probability of selecting a red ball from urn A)
P(R|T) = 16/23 (probability of selecting a red ball from urn B)
The probability that the coin landed heads given that a red ball was selected is P(H|R).
From Bayes' theorem:
P(H|R) = P(H) * P(R|H) / P(R)
But;
P(R) = P(R|H) * P(H) + P(R|T) * P(T)
P(R) = (3/14) * (1/2) + (16/23) * (1/2)
P(R) = 3/28 + 8/23
P(R) = 293 / 644
Substituting to find P(H|R):
P(H|R) = (1/2) * (3/14) / (293/644)
P(H|R) = 5/17
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a cylindircal container can be made by using two circles for the ends and a rectangle which wraps round to form the body. what is the largest possible cylinder
Answer:
Step-by-step explanation:
Answer:
Difference= $11,280
Step-by-step explanation:
Giving the following information:
Manager at Shop & Save Grocers= Hourly wages $16.50 per hour
Assistant Manager at Unbelievable Toys= Monthly wages $3,800
Cashier at 7-12 Convenience Store= Yearly wages $43,000
First, we need to calculate the yearly wages, and then compare the results:
Shop & Save Grocers= (16.5*40)*52= $34,320
Unbelievable Toys= 3,800*12= $45,600
The highest paying job is at Unbelievable Toys.
Difference= 45,600 - 34,320= $11,280
help me pleasee, my brain won't work
The given fractions have equal value, so Liam is correct.
How to find the equivalent fractions?Equivalent fractions are defined as fractions that have different numerators and denominators but the same value. For example, 2/4 and 3/6 are equivalent fractions because they are both equal to 1/2. A fraction is part of a whole. Equivalent fractions represent the same part of a whole.
Liam is claiming that the fraction -(5/12) is equivalent to 5/-12.
Thus, we can say that:
The fraction -(5/12) can be described as the opposite of a positive number divided by a positive number. A positive number divided by a positive number always results in a positive quotient and its' opposite is always negative.
The fraction 5/-12 can be described as a positive number divided by a negative number which always results in a negative quotient
The fractions have equal value, so Liam is correct
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Diego measured the length of an eraser to be 6 cm. The actual length of the eraser is 6.5 cm. Which of these is closest to the percent error for Diego's measurement? Please help!!
Answer:
7.69%.
Step-by-step explanation:
Percentage error = (0.5/6.5) * 100
= 7.69%.
SOMEONE HELP ME PLSSSSSSS
Answer:
y = 8x
Step-by-step explanation:
hope this is what u need if not comment and I'll change it
<3
Can someone answer this? It’s 9th grade algebra
Answer:
C
Step-by-step explanation:
We want to solve the inequality:
\(\displaystyle 5.1(3 + 2.2x) > -14.25 - 6(1.7x+4)\)
Distribute:
\((15.3+11.22x) > -14.25 + (-10.2x-24)\)
Combine like terms:
\(15.3 + 11.22x > -10.2x-38.25\)
We can add 10.2x to both sides:
\(15.3 + 21.42x > -38.25\)
Subtract 15.3 from both sides:
\(21.42x > -53.55\)
And divide both sides by 21.42. Hence:
\(\displaystyle x > -2.5\)
This means all values greater than -2.5. Hence, in interval notation:
\((-2.5, \infty)\)
In conclusion, our answer is C.
According to the federal bureau of investigation, in 2002 there was 3.9% probability of theft involving a bicycle, if a victim of the theft is randomly selected, what is the probability that he or she was not the victim of the bicyle theft
the probability of not being the victim of the theft involving the bicycle, if the victim of the theft is randomly selected, is 0.961.
According to the given data, it is given that there was a 3.9% probability of theft involving a bicycle in 2002. Thus, the probability of not being the victim of the theft involving the bicycle can be calculated by the complement of the probability of being the victim of the theft involving the bicycle.
The formula for calculating the probability of the complement is:
P(A') = 1 - P(A)
Where P(A) represents the probability of the event A, and P(A') represents the probability of the complement of event A.
Thus, the probability of not being the victim of the theft involving the bicycle can be calculated as:
P(not being the victim of the theft involving the bicycle) = 1 - P(the victim of the theft involving the bicycle)
Now, substituting the value of P(the victim of the theft involving the bicycle) = 3.9% = 0.039 in the above formula, we get:
P(not being the victim of the theft involving the bicycle) = 1 - 0.039P(not being the victim of the theft involving the bicycle) = 0.961
Therefore, the probability that the randomly selected victim was not the victim of bicycle theft is 0.961 Thus, the probability of not being the victim of the theft involving the bicycle, if the victim of the theft is randomly selected, is 0.961.
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a random sample of size 36 is taken from a population with mean 17 and standard deviation 6. the probability that the sample mean is greater than 18 is?
The probability that the sample mean is greater than 18 as calculated is 0.8413.
Given data,
n = 36, sample size
μ = 17, population mean
σ = 6, population standard deviation
when x = 18
z = (18 - 17)/1 = 1
P(x <18) = 0.8413
Therefore , the probability = 0.8413
A population's standard deviation serves as a gauge for how widely distributed its individual data points are. It's a way to express how dispersed from the mean the data is.
While a large standard deviation indicates that the data is more spread, a small standard deviation indicates that the data points are often close to the mean.
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Area = 79.2 ft2
9 ft
4.2 ft
h
Is it okay if ya'll can help me on number 5,8,9, and 10
The answer to the following algebra is;
b² at b = 4 is 16
y /5 at y = 15 is 3
27/s at s = 9 is 3
q/3 + 4 at q = 3 is 5
How to solve algebraic expression?Algebra is the system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.
Given the following:
b² at b = 4
substitute b = 4
= 4²
= 4 × 4
= 16
y /5 at y = 15
substitute y = 15
= 15/5
= 3
27/s at s = 9
substitute s = 9
= 27/9
= 3
q/3 + 4 at q = 3
substitute q = 3
= 3/3 + 4
= 1 + 4
= 5
In conclusion, the algebraic expression is solved by substituting the value of the variables.
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help me pleaseeeeeeeeeeeeeee
Answer:
C
Step-by-step explanation:
Evaluating the options :
Option A
⇒ 5/2x + 7/2 = 3/4x + 14
⇒ 2.5x - 0.75x = 14 - 3.5
⇒ 1.75x = 10.5
⇒ x = 6
⇒ No ×
===========================================================
Option B
⇒ 5/4x - 9 = 3/2x - 12
⇒ 1.5x - 1.25x = -9 + 12
⇒ 0.25x = 3
⇒ x = 12
⇒ No ×
=========================================================
Option C
⇒ 5/4x - 2 = 3/2x - 4
⇒ 1.5x - 1.25x = -2 + 4
⇒ 0.25x = 2
⇒ x = 8
⇒ Yes √
C is the right answer.
For a given recipe, 24 cups of flour are mixed with 12 cups of sugar. How many cups of sugar should be used if 8 cups of flour are used?
Answer:
First, 24 divided by 8 equals 3. this means you divide 12 by 3. you get 4. 4 cups of sugar will be used when 8 cups of flour are used.
Avery goes out to lunch. The bill, before tax and tip, was $9.80. A sales tax of 6% was added on. Avery tipped 19% on the amount after the sales tax was added. What was the total cost of the meal, plus tax and tip? Round to the nearest cent.
Answer:
12.36
Step-by-step explanation:
price x sales tax rate =sales tax
9.80 x .06=sales tax
.59=sales tax
price + sales tax=price with sales tax included
9.80+.59=10.39
price with sales tax x tip percentage=tip amount
10.39 x .19=1.97
price with sales tax + tip = total amount
10.39+1.97=12.36
Which fact helps you prove the isosceles triangle theorem, which states that the base angles of any isosceles triangle have equal measure?
1. The base angles of an equilateral triangle have equal measure
2. if two sides of a triangle are equal, the third side must be equal to the others
3.If a triangle is equiangular, then it is equilateral.
4.If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle.
Answer:
4. If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle.
Step-by-step explanation:
Facts about equiangular/equilateral triangles have little bearing on isosceles triangles.
The one relevant fact from the given list is that larger angles are opposite longer sides. This requires you to conclude that equal angles are opposite equal sides, which is the conclusion of the isosceles triangle theorem.
use the image below to find the requested values?
find the measure of hdg
Answer:
<HDG = 39°
Step-by-step explanation:
Red square is a right angle which mean its a 90°
Those two angle <CDG and <HDG are complementary angle which mean they both add up to 90°
<CDG + <HDG = 90°
51° + (3t+15)° = 90°
Solve for t.
3t + 51 + 15 = 90°
3t + 66 = 90°
3t = 24
t = 8
Plug t = 8 into <HDG to find the measurement.
<HDG = 3t + 15
<HDG = 3*8 + 15
<HDG = 24 + 15
<HDG = 39°
Which of the following is a prime number between 10 and 20?
A.
14
B.
11
C.
18
D.
15
Answer:11
Step-by-step explanation:
Answer:
B - 11
Step-by-step explanation:
Solve each system by substitution.
x² - y = x + 4 x-1 = y + 3
The solutions to the system of equations are: (0, -4) and (2, -2).
To solve the system of equations using substitution:
Equation 1: x² - y = x + 4 (Equation 1)
Equation 2: x - 1 = y + 3 (Equation 2)
We can solve Equation 2 for y in terms of x and substitute it into Equation 1.
From Equation 2: x - 1 = y + 3
Rearranging this equation, we get: y = x - 1 - 3
y = x - 4
Now, substitute this expression for y in Equation 1:
x² - (x - 4) = x + 4
Simplify the equation:
x² - x + 4 = x + 4
Combine like terms:
x² - 2x = 0
Factor out an x:
x(x - 2) = 0
Now, we have two possible solutions:
1. x = 0
2. x - 2 = 0 -> x = 2
Now substitute these values of x back into Equation 2 to find the corresponding y-values:
For x = 0:
y = 0 - 4
y = -4
For x = 2:
y = 2 - 4
y = -2
Therefore, the solutions to the system of equations are:
(0, -4) and (2, -2).
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Please help!
Question:
Divide £40 in the ratio 3 : 7
Step-by-step explanation:
here's your answer hope it helps you
Help me please ASAP
Answer:7200 for the first question
Step-by-step explanation: 1000
70
Take the last digit of 70 and multiply it by all the numbers in 1000 once you got that answer take the 7 in 70 and multiply it by all the digits in 1000 as well then once you got that answer add both of your answers together and that's your answer
Express each of the following in the form
\( {7}^{x} \)
a)
\( \sqrt[5]{7} \)
b)
\( \frac{1}{ \sqrt[7]{7} } \)
Answer:
Explanation:
Answers:
a) \(7^{1/5}\)b) \(7^{-1/7}\)Each answer has 7 as the base and a fraction as an exponent.
==========================================================
Explanation:
One useful rule here is that \(\sqrt[n]{x^m} = x^{m/n}\). The fraction m/n is the exponent for the base x. Note how the index of the root (n) becomes the denominator of the fraction m/n. So for example if we had n = 3, then we'd be dealing with a cube root.
For part a), we have x = 7, m = 1 and n = 5 to get
\(\sqrt[n]{x^m}=x^{m/n}\\\\\sqrt[5]{7^1}=7^{1/5}\\\\\sqrt[5]{7}=7^{1/5}\\\\\)
-----------------
Part b) is the same idea
We would find that
\(\sqrt[n]{x^m}=x^{m/n}\\\\\sqrt[7]{7^1}=7^{1/7}\\\\\sqrt[7]{7}=7^{1/7}\\\\\)
Then apply the reciprocal to both sides. This is the same as raising both sides to the exponent -1
\(\sqrt[7]{7}=7^{1/7}\\\\\left(\sqrt[7]{7}\right)^{-1}=\left(7^{1/7}\right)^{-1}\\\\\frac{1}{\sqrt[7]{7}}=7^{1/7*(-1)}\\\\\frac{1}{\sqrt[7]{7}}=7^{-1/7}\\\\\)
You could also use the rule that x^(-y) = 1/(x^y) when dealing with negative exponents.
In the second to last step shown above, I used the rule (x^y)^z = x^(y*z) on the right hand side.
What is the equation of the line shown in this graph?
Answer:
y = -3 is the equation of the line shown in the graph.
Step-by-step explanation:
Hope this is helpful.
Answer:
The equation is y= -3
Step-by-step explanation:
It's a constant function
help. i’ll mark brainlist
Answer:
The answer is the last 3.
Step-by-step explanation:
Hope it helps
Answer:
3 times the difference of a number and 3
explanation: the key word is TIMES it mean multiple. hope this helps you out
I need help with this homework it’s do today I would appreciate if somebody can help me
Answer:
A = B (base) x H (height)
A = 55 x 55
A = 3025
How do the phrases how does it take over an entire being in a single, momentary glance, not only beloved by the gods but also beloved by me, ariadne, and together as one being for all eternity impact the meaning of the story?
The phrases "how does it take over a complete being in a single, momentary look" are used to describe who feels for the other more in the relationship, they say. As a result, choice D is right.
What are momentary emotions?I experience momentary emotions at any particular time. It's essential for me to acknowledge that bad emotions exist when they do. and to pay close attention to them. That helps me better manage these emotions.
What exactly is "momentary action"?When a switch is activated and the button removed, the switch performs a brief action and then returns to its original state.
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The correct question is:
How do the phrases "how does it take over an entire being in a single, momentary glance", "not only beloved by the gods but also beloved by me, Ariadne", and "together as one being for all eternity" impact the meaning of the story?
(A) They describe how quickly Ariadne and Theseus fell in love.
(B) They explain how Ariadne was the one who initiated the relationship.
(C) They emphasize how Ariadne is easily overcome by feelings of love.
(D) They explain who cares more for the other in the relationship.
2+200000000000000000000000000000000
Answer:
200000000000000000000000000000002
Step-by-step explanation:
Answer:
200000000000000000000000000000002
Step-by-step explanation:
please help me solve this problem emergency
The height of the soccer ball when it was hit is 3 feet. It takes approximately 0.66 seconds for the soccer ball to reach its maximum height. The maximum height is approximately 10.89 feet.
To solve the given problem, we'll use the provided quadratic function h(t) = -16t^2 + 21t + 3, which represents the height of the soccer ball at time t.
(a) To find the height of the soccer ball when it was hit, we need to evaluate h(0) since t represents the time in seconds. Substituting t = 0 into the function, we get:
h(0) = -16(0)^2 + 21(0) + 3 = 3
Therefore, the height of the soccer ball when it was hit is 3 feet.
(b) To determine the time it takes for the soccer ball to reach its maximum height, we need to find the vertex of the parabolic function, which represents the maximum point. The time at the vertex can be found using the formula:
t = -b / (2a)
For the function h(t) = -16t^2 + 21t + 3, a = -16 and b = 21.
t = -21 / (2 * -16) ≈ 0.66 seconds (rounded to 3 decimal places).
(c) The maximum height can be found by substituting the time from part (b) back into the function. Evaluating h(0.66), we get:
h(0.66) = -16(0.66)^2 + 21(0.66) + 3 ≈ 10.89 feet (rounded to 3 decimal places).
Therefore, the maximum height of the soccer ball is approximately 10.89 feet.
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discounted 40%. A weed eater originally sells for $145. How much will the weed eater
7th grade
HELP MEEEE!
due today
Answer:
A.
Step-by-step explanation: Because as you see the dot is past the 2 and is on the third line out of 4, the 4th line is the next number.
A line with a slope of –1/4 passes through the point (–6,5). What is its equation in point-slope form?
The point- slope form of the line is y-5 = -0.25(x+6).
What is line?
A line is an one-dimensional figure. It has length but no width. A line can be made of a set of points which is extended in opposite directions to infinity. There are straight line, horizontal, vertical lines or may be parallel lines perpendicular lines etc.
A line with a slope of –1/4 passes through the point (–6,5)
Any line in point - slope form can be written as
y - y₁= m(x -x₁) -------(1)
where,
y= y coordinate of second point
y₁ = y coordinate of first point
m= slope of the line
x= x coordinate of second point
x₁ = x coordinate of first point
In the given problem (x₁ , y₁) = (-6,5) and m= -1/4
Putting all these values in equation (1) we get,
y-5= (-1/4) (x- (-6))
⇒ y-5 = -0.25(x+6)
Hence, the point- slope form of the line is y-5 = -0.25(x+6).
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The goals in a hockey rink are 6 feet wide. A hockey player is standing 25 feet directly in front of the left side of one of the goals.
a) what is the maximum angle at which the player can shoot the puck to make it in the goal?
b) if the player skates forward 5 feet, how wide of a range of angles can the player shoot the puck to make it in the goal?
c) describe what happens to the maximum angle as the player gets closer to the goal
The maximum angle when a player is 25 feet far is 14.50° while when 5 feet closer it will be 16.70° and as a player gets closer angle increases.
What is a trigonometric function?The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.
The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.
a)
The given condition makes a right-angle triangle as shown below,
The tan function,
tanθ = 6/25
θ = 14.50°
b)
When a player is 5 feet closer means (20 feet far)
tanθ = 6/20
θ = 16.70°
c)
As the player gets closer the angle becomes more and more.
Hence "The maximum angle when a player is 25 feet far is 14.50° while when 5 feet closer it will be 16.70° and as a player gets closer angle increases".
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help please
-8+(-5)+9+11=
Answer:
=7
Step-by-step explanation:
= -8+(-5)+9+11
= -8-5+20
= -13+20
= 7