Please help! I am so lost. What is the probability of landing in any yellow region of the square below?
Radius of each circle is 1 unit. Find the exact probability.
Answers
The probability of landing in any yellow region is the area of the yellow region divided by the total area of the square, which is (π + 2) / 4. This is the exact probability.
To find the probability of landing in any yellow region of the square, we need to calculate the area of the yellow regions and divide it by the total area of the square.
Let's consider one of the quarters of the square, which is symmetrical. The yellow region consists of a quarter of a circle with radius 1 unit, and a right-angled triangle with sides of length 1 unit.
The area of the quarter circle is (1/4)π\(r^2\) = (1/4)π(\(1^2\)) = π/4.
The area of the right-angled triangle is (1/2) \(\times\)1 \(\times\)1 = 1/2.
Therefore, the total area of the yellow region in one-quarter of the square is (π/4) + (1/2) = (π + 2)/4.
Since the square has four identical quarters, the total area of the yellow region in the entire square is 4 \(\times\)[(π + 2)/4] = π + 2.
The probability of landing in any yellow region is the area of the yellow region divided by the total area of the square, which is (π + 2) / 4. This is the exact probability.
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Related Questions
A store purchased 250 pastries for $100. They resold all 250 pastries for $150. What is the store’s profit per pastry?
Answers
Answer:
the profit is $1.66 per pastry
Step-by-step explanation:
Answer:
The profit is 20 cents per pastry
Step-by-step explanation:
3 = 3 + 7k + 7 whats the anwser and steps
Answers
Answer: what does they K stand for
Step-by-step explanation:maybe I can help you
9514 1404 393
Answer:
k = -1
Step-by-step explanation:
Subtract 10 and simplify. We choose this value so the constants on the right add up to give 0.
3 -10 = 3 + 7k + 7 -10
-7 = 7k
Divide by 7.
-7/7 = 7k/7
-1 = k
Solve the following:
32 ÷ 4 + 4 x 8 = ?
A. 42
B. 32
C. 96
D. 40
Answers
Answer:
Step-by-step explanation: 40 see attachment
what is the difference between the points (-3,4) and (-3,-5)?
Answers
The difference between the points (-3, 4) and (-3, -5) is (0, 9)
Brainliest?? ;D
Please please please help me!!! I need this really fast and quick. Will give brainliest to whoever can answer quickly please
Answers
Answer:
Part A is P
Step-by-step explanation:
easy please helppp match the following defintion with the correct term: the vertical distance between two points on a line
1. run
2. rate of run
3. slope
4. rise
Answers
Answer:
4. rise
match the following definition with the correct term:
the vertical distance between two points on a line
1. run
2. rate of run
3. slope
4. rise
find the maximum $p$ such that $2x^4y^2 9y^4z^2 12z^4x^2 - px^2y^2z^2$ is always nonnegative for all real $x$, $y$, and $z.$
Answers
So now you just need to use LaGrange multipliers to minimize the function of a unit sphere (a compact set) and work out for which values of p the minimum is non-negative.
2a²b+9b²c+12c²a≥pabc
for a,b,c≥0.Letting a=3k,b=2m,c=n yields
36(k²m+m²n+n²k)≥(6p)kmn
k²m+m²n+n²k≥(p6/5)kmn
We now use AM-GM on k2m,m2n,n2k to get that
k²m+m²n+n²k/3 ≥ (k³m³n³)∧13
k2m+m2n+n2k≥3kmn
So we know that this applies to all p18. Furthermore, taking k=m=n turns the inequality into equality, therefore any p>18 fails. As a result, p=18 is the maximum.
Call that function f, and keep in mind that f(x,y,z)=(x,y,z) for all >0 and x,y,zR. So all you have to do is ensure that f is non-negative on the unit sphere.
To learn more about
Two-thirds of the T-shirts in a T-shirt shop are blue. Three-fifths of those T-shirts are on sale. One-half of the blue T-shirts that are on sale are size medium. What fraction of the shop's T-shirts are blue T-shirts that are on sale and are size medium? Explain.
Answers
Let, total number of T-shirts are x.
Number of blue T-shirts = (2/3)x = 2x/3 .
Number of blue shirts on sale = (3/5)(2x/3) = 2x/5 .
Number of medium sized blue shirts on sale = (1/5)(2x/5) = 2x/25 .
Fraction of the shop's T-shirts are blue T-shirts that are on sale and are size medium = \(\dfrac{2x/25}{x}\)= 2/25 . ( Number of medium sized blue shirts on sale divided by total number of T-shirts )
Hence, this is the required solution.
6 Brett is going to buy some bird food. Bird food is sold in 200 g boxes costing
£2.50 and in 1000 g boxes costing £10.50. Which box of bird food gives the
better value for money? You must show your working.
Answers
1000 g boxes costs £10.50
Cost of 200g in 1000g box = 10.50/5 = 2.10
200 g box costs £2.50
So, buying 1000g box gives better value for moneyHope this will help....
Answer: 1000g Bird Food gives the better value for money because when you muliply 2.5- pounds times 5 you get 12.50 pounds for 1000g but not in the case for 1000g for 10.50 pounds
Step-by-step explanation:
200g Bird Food - 2.50 pounds
1000g Bird Food - 10.50 pounds
Can you guys please help me? :)
Answers
for the state nn = 2, calculate the probability that the particle will be found in the left one-third of the box. express your answer using three significant figures.
Answers
For a system with nn = 2, the probability of finding the particle in the left one-third of the box can be calculated using quantum mechanics. The probability is approximately 0.667, rounded to three significant figures.
1. In quantum mechanics, the wave function describes the probability distribution of a particle's position. For a system with nn = 2, there are two possible states: the left state (L) and the right state (R). The wave function for this system can be represented as a linear combination of these two states: Ψ = aL + bR.
2. To calculate the probability of finding the particle in the left one-third of the box, we need to determine the coefficients a and b. The probabilities are given by the absolute squares of the coefficients. Since the particle is equally likely to be in either state at the beginning, we can assume a = b = 1/√2.
3. To find the probability of the particle being in the left state (PL), we square the absolute value of the coefficient a and divide it by the sum of the squared absolute values of both coefficients: PL = |a|^2 / (|a|^2 + |b|^2) = (1/√2)^2 / [(1/√2)^2 + (1/√2)^2] = 1/2 / (1/2 + 1/2) = 1/2.
4. Since the left one-third of the box occupies half of the total space, the probability of finding the particle in this region is half of the probability of being in the left state: P(left one-third) = PL / 2 = 1/2 / 2 = 1/4 = 0.25. Rounded to three significant figures, the probability is approximately 0.250.
5. Therefore, for a system with nn = 2, the probability that the particle will be found in the left one-third of the box is approximately 0.667, rounded to three significant figures.
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at her job Jessie earns 9.75 an hour. she also earns a bonus of 80 dollars every month.
Jessie needs to earn at least 500 dollars a month. create an inequality that represents this situation, where h represents the number of hours that Jessie works in a month in order to earn at least 500 dollars
Answers
Answer:
9.75h + 80 ≥ 500
Step-by-step explanation:
Hi! If we look at the problem, it says that "Jessie earns 9.75 an hour." If it is asking you to use h as the hour, it results to 9.75h. Next, she gets a bonus of 80 dollars every month. 9.75h + 80. Lastly, it says she "needs to earn at least 500 dollars". at least is a fancy way of saying greater than or equal to '≥'.
Hope this helps!
What is the value of the exponential expression below?
16²
OA. 6
OB. 2
OC. 4
D. 8
Answers
The value of the exponential expression is 4 which is option (C).
Exponential equations, as the name suggests, involve exponents. The exponent (radix) of a number indicates how many times the number (radix) is multiplied.A number's exponent indicates how many times the number has been multiplied by itself. For example, 2×2×2×2 can be written as 24 because 2 is multiplied by 4. Here 4 is called the "exponent" or "power". In general, xn means multiply x by n times. Power law is given by\((a^m)^n=a^{m\times n}\)We can write 16 as \(4^2\) .
Using exponent property ,we get
\(16^\frac{1}{2}=((4)^2)^\frac{1}{2} \\\\16^\frac{1}{2}=4\)
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The complete question below :
What is the value of the exponential expression below?
\(16^\frac{1}{2}\)
A. 6
B. 2
C. 4
D. 8
Is the triangle with the vertices A(7,3), B(0,7), and C(-8, -7) a right triangle?Is the triangle a right triangle?O YesO No
Answers
Solution
We want to use coordinate geometry to determine if the triangle is a right triangle
We can find the distance between all the three vertices.
The formula for distance between two points ( x1 , y1 ) and ( x2, y2) is given as :
\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)Let us start by finding the distance AB
Let us find the distance BC
Now let us find the distance AC
The triangle will be a right triangle if it obeys pythagoras theorem
Pythagoras' theorem says if we square the longest side in a right triangle , then it must be equal to the sum of the squares of the other two sides
Let us see if that works. If it works, the triangle is right triangle. If it doesn't work, we conclude otherwise.
So we can say that only right triangle obeys pythagoras' theorem.
Now lets verify
Longest side is AC
\(AC=5\sqrt{13}\)\(\begin{gathered} AC^2=(5\sqrt{13)^2}=\text{ }5\sqrt{13}\times5\sqrt{13}=325 \\ AC^2=325 \end{gathered}\)
Let us find the sum of the squares of AB and BC
\(\begin{gathered} AB^2+BC^2=\sqrt{65^2}+(2\sqrt{65)}^2 \\ AB^2+BC^2=65+260=325 \end{gathered}\)Now we observe that ;
\(AC^2=AB^2+BC^2\)The triangle given is a right triangle
Our choice is Yes
1. The relationship between a statistic and a parameter is the same as the relationship between:
A. a sample and a population
B. a statistic and a parameter
C. a parameter and a population
D. descriptive statistics and inferential statistics
Answers
The relationship between a statistic and a parameter is the same as the relationship between , Option(A) a sample and a population
The Population is defied as an entire group of individuals that we are interested in studying, while a sample is a subset of that population that we actually observe and collect data from.
A Parameter is defined as a numerical characteristic of a population, such as its mean or variance, whereas a statistic is a numerical characteristic of a sample, such as its sample mean or sample standard deviation.
The relationship between a sample and a population is similar to the relationship between a statistic and a parameter because a sample is used to estimate information about the population, and a statistic is used to estimate information about a parameter.
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describe the apparent relationship between the two variables under consideration. choose the correct choice below. a. test score remains constant as the number of study hours increases. b. test score tends to decrease as the number of study hours increases. c. test score tends to increase as the number of study hours increases. d. there is no apparent relationship between study hours and test score.
Answers
Based on the given information, the question is asking about the apparent relationship between two variables: study hours and test score. The correct answer is c.
Test score tends to increase as the number of study hours increases. This suggests a positive correlation between the two variables, meaning that as one variable (study hours) increases, the other variable (test score) also tends to increase.
The apparent relationship between the two variables under consideration, which are study hours and test score, can be described as follows:
Your answer: c. Test score tends to increase as the number of study hours increases.
This is because, generally, the more time a person spends studying, the better their understanding of the material, which often leads to a higher test score.
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The frame of the given window is made
of a rectangle with semi-circular top.
Find its perimeter and area.
2.1 m
1.4 m
Answers
Answer:
3.7096902=area
Step-by-step explanation:
2.1x1.4=2.94m^2
2.94+(.5pi(.7^2))
area of a isocles triangle whose both sides are 5 cm and one side 4cm
Answers
Answer:
9.17cm (3s.f.)
Step-by-step explanation:
Using Pythagoras Theorem,
5² = 2² + (Height of Triangle)²
Height of Triangle = 4.5826cm (5s.f.)
Area = ½ × 4 × 4.5826
= 9.1652cm (5s.f.)
= 9.17cm (3s.f.)
Revisiting the linear probability model Suppose you are estimating the following linear probability model (LPM): y=β 0
+β 1
x 1
+β 2
x 2
+u where P(y∣x 1
,x 2
)=β 0
+β 1
x 1
+β 2
x 2
and Var(y∣x)=p(x)[1−p(x)] Outline the steps needed to use weighted least squares (WLS) for estimating the LPM. Outline the steps needed to use weighted least squares (WLS) for estimating the LPM. 1. Estimate the model using and obtain the 2. Determine whether all of the are inside the unit interval. If so, proceed to step 3. If not, adjust them so that all values fit inside the unit interval. 3. Construct the estimated variance h i
= 4. Estimate the original model with using weights equal to 1/ h
. True or False: Suppose, for some i, y
^
i
=−2. Although WLS involves multiplying observation i by 1/ h
, the WLS method will be viable without any further adjustments. True False Outline the steps needed to use weighted least squares (WLS) for estimating the LPM. 1. Estimate the model using and obtain the 2. Determine whether all of the are inside the unit interval. If so, proceed to step 3. If not, adjust them so that all values fit inside the unit interval. 3. Construct the estimated variance h i
= 4. Estimate the original model with using weights equal to 1/ h
. True or False: Suppose, for some i, y
^
i
=−2. Although WLS involves multiplying observation i by 1/ h
, the WLS method will be viable without any further adjustments. True False
Answers
WLS involves multiplying observation i by 1/ h_i, the WLS method will be viable without any further adjustments, this statement is True.
To use Weighted Least Squares (WLS) for estimating the Linear Probability Model (LPM) the steps are:
Step 1: Estimate the model using OLS and obtain the residuals, u_i.
Step 2: Determine whether all of the P(y|x1,x2) are inside the unit interval. If so, proceed to step 3. If not, adjust them so that all values fit inside the unit interval.
Step 3: Construct the estimated variance h_i = p(x_i) (1 - p(x_i)).
Step 4: Estimate the original model with weights equal to 1/ h_i.
Thus, the correct answer is True.
Suppose, for some i, y^i = −2.
Although WLS involves multiplying observation i by 1/ h_i, the WLS method will be viable without any further adjustments, this statement is True.
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The length from the center of a wind turbine to the tip of one of its blades measures 32 meters. What is the approximate distance the tip of the blade will travel in one revolution of the wind turbine?
Answers
Answer:
the answer is 200.96 :)
Step-by-step explanation:
Please help need by tomorrow it would be very very very appreciated
Answers
The linear inequality for the graph in this problem is given as follows:
y ≥ 2x/3 + 1.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.The graph crosses the y-axis at y = 1, hence the intercept b is given as follows:
b = 1.
When x increases by 3, y increases by 2, hence the slope m is given as follows:
m = 2/3.
Then the linear function is given as follows:
y = 2x/3 + 1.
Numbers above the solid line are graphed, hence the inequality is given as follows:
y ≥ 2x/3 + 1.
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Anthony is looking to build a rectangular
fence in the backyard. He knows the
perimeter is 25 feet and that one
measurement is 5ft. Find the other missing
measurement
Answers
5+5=10
25-10=15
15/2=7.5
Answer: 7.5 feet
1. The areas of the faces of a rectangular box are 84cm^2, 70cm^2 and 30cm^2. The volume of the box in cm is?.
Answers
Answer:
V = 420 cm^3
Step-by-step explanation:
84 = 2x2x3x7 = 14 x 6
70 = 2x7x5 = 14 x 5
30 = 2x3x5 = 6 x 5
Volume = 14 cm x 6 cm x 5 cm
Leanna has a rectangular price of fabric The fabric is 24 inches wide and 40 inches long leanna folds the piece of fabric along its diagonal to form a triangular scarf. what is the area in square inches
Answers
The rectangular pice has a wide of 24 inches and 40 inches long so we can calculate the area of the rectangle:
\(\begin{gathered} A=24\cdot40 \\ A=960 \end{gathered}\)Now they say that Lenna folds the piece of fabric along its diagonal so the triangle will have halve of the area of the triangle, so que so we can divide the area of the trangle by 2
\(A_{\text{triangle}}=\frac{960}{2}=480\)So the triangle has an area o
Which one is this answer for this can someone help me pzl
Answers
Answer:
66
Step-by-step explanation:
The red mark with "22" indicted that's 22, So you can remove 44(A) and 66(D), It cant be 22(B), Its Cleary 11.5(C)
In a unit circle, ø=180°. What is the terminal point?
A. (1,0)
B. (0,-1)
C. (0,1)
D. (-1,0)
Answers
in your own words explain the steps you would need to take to find slope from the data table .
Answers
Answer:
look at explanation, i got it on ed.
Step-by-step explanation:
Start by choosing two data points. Calculate the difference between the second y value and the first y value. Then divide that by the difference between the second x value and the first x value.
Answer:
Start by choosing two data points. Calculate the difference between the second y value and the first y value. Then divide that by the difference between the second x value and the first x value.
Step-by-step explanation:
Jacey is looking at coins in a change jar that contains only dimes and quarters. There are 8 more quarters than dimes in the jar. Let d be the number of dimes the jar contains. If it has a total of $7. 25 in it, then algebraically find the value of d. (Please show work)
Answers
Jacey is looking at coins in a change jar that contains only dimes and quarters. the number of dimes in the jar is 15.
Let q be the number of quarters and d the number of the dimes.
We know that Jackey has 8 more quarters than dimes, so : q = d + 8
We know also that the total amount of money in the jar is $7.25. Since 1 dime = 1$/10 and 1 quarter = 1$/4, then :
d/10 + q/4=7.25
Which means that we need to solve the system of equations:
q=d+8
d/10 + q/4 =7.25
Let's substitute the value of q from the first equation into the second equation:
d/10 + (d+8)/4=7.25
if we multiply all terms by 40, we will get :
4d+10d +80=290
which means : 14d + 80 = 290
By subtracting 80 from both sides, we have :
14d=210
and finally, by dividing both sides by 14, we get :
d=15
The answer is : Jackey has 15 dimes
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what is 13x − 19y = –14 in slope intercept form
Answers
Answer:
Step-by-step explanation:
-19y=-13x -14 to y=-13/-19 - -14/-19
14. 2 Adding Equations
What did Diego do to solve the system?
Diego is solving this system of equations:
4x + 3y = 10
4x + 5y = 6
Here is his work
4x + 3y = 10
-4x + 5y = 6 +
0+ 8y = 16
4x + 3(2) = 10
4x + 6 = 10
4x = 4
x=1
y = 2
Answers
Diego is applying the elimination method to solve the system and it is proved that his work is correct, that x = 1 and y = 2.
The elimination method is a technique used to solve linear equations. When using this method, we either add or subtract the equations to result in one variable equation.
In Diego's work, he added the two equations to eliminate the variable x and get the value of the variable y. As he knew the value of y, he applied this value to the equation to get the value of variable x.
To decide whether his work is correct, we can test it by applying the value of x and y to the equation:
4x + 3y = 10
4.1 + 3.2 = 10
4 + 6 = 10 ⇒ correct
-4x + 5y = 6
-4.1 + 5.2 = 6
-4 + 10 = 6 ⇒ correct
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