the probability of selecting a green ball from a bag is a 1 out of 8. If you select 3 balls, what is the probability of at least one of them being green?

To calculate the surface area of the net pictured, you would need to know the base and height of the triangle, as well as the length of the prism.

Surface is a physical property of an object which is the outermost layer of the object. It can be solid, liquid, or gas, and it is usually the first thing we touch or see. It can also be the outermost layer of the atmosphere. Surface can be measured by its texture, smoothness, roughness, color, and other qualities. Surface can be studied through microscopy, spectroscopy, and other techniques. Surface can be used to identify and classify materials, as well as to study their properties.

The net below forms a triangular prism. A triangular prism is a three-dimensional shape with two parallel faces that are triangles, and three rectangular faces. The formula for finding the surface area of a triangular prism is SA = 2b(h + l) + 3lh, where b is the base of the triangle, h is the height of the triangle, and l is the length of the prism. Therefore, to calculate the surface area of the net pictured, you would need to know the base and height of the triangle, as well as the length of the prism.

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For question 3, the unique solution is guaranteed if yo = 3. For question 5, the solution is lnx + In(y-x) = c. For the last question, the solution is y = x - 1 + ce^(-x).

For question 3, the initial value problem y' = √(x²-9), y(x) = yo has a unique solution guaranteed by Theorem 1.1 if yo = 3. The reason is that the square root expression inside the differential equation is only defined when x²-9 is non-negative. Since the square root of a negative number is undefined in the real number system, yo cannot be any value that results in x²-9 being negative. Therefore, yo = 3 is the only valid choice.

For question 5, the given differential equation (x-2y)dx + ydy = 0 can be solved by integrating. By integrating the left-hand side of the equation, we obtain the solution lnx + In(y-x) = c, where c is the constant of integration. This is the correct answer (b).

For the last question, the differential equation y' + y = x can be solved using the method of integrating factors. Multiplying both sides of the equation by e^x, we get e^x * y' + e^x * y = xe^x. The left-hand side can be rewritten as (e^x * y)' = xe^x. Integrating both sides with respect to x, we have e^x * y = ∫xe^xdx = x * e^x - e^x + c. Dividing both sides by e^x, we get y = x - 1 + ce^(-x). Therefore, the correct answer is (b), y = x - 1 + ce^(-x).

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Answer:

x=5or x=1/3

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

D:) o b what ? you very whell

Step-by-step explanation:

A b. d. c

Answer:

The answer is -2

Step-by-step explanation:

I got this answer on Khan Academy.

Hope this helps! :)

Step-by-step explanation:

the middle one has to be the same for both part ratios.

the best here is to bring the ratio element of B in the first part ratio to 10. we need to double the B element there

for that (as a ratio is a fraction) we also have to adapt the A element in the same way.

so, we get

4×2 : 5×2 : 9 =

= 8 : 10 : 9

and that is also shown in the graphic.

Answer:

X:Y:Z= 8:10:9

Step-by-step explanation:

Let x be the number of students in class A

Let y be the number of students in class B

Let z be the number of students in class C

x:y = 4:5

y:z= 10: 9

x:y:z = ?

Find the LCM of the y terms (5 and 10 ) which is 10

Divide 10 by the first y term (5) = 2

Divide 10 by the second y term(10) = 1

X: y = (4 x 2) :(5 x 2)= 8:10

y:z =(10 x 1) : (9:1)= 10:9

x:y:z= 8:10:9

1. When t = 0, the position (displacement) of the object can be found by substituting t = 0 into the given equation of motion:d = 3sin(8π(0)) - 2 = 0 - 2 = -2 meters.2. The maximum displacement of the object from its t=0 position can be found by taking the amplitude of the displacement function. Since the function is of the form d = Asin(ωt) - B, where A is the amplitude, ω is the angular frequency and B is the vertical shift, it can be seen that the amplitude in this case is A = 3 meters. So, the maximum displacement is 3 meters.3. The time taken for one oscillation can be found by dividing the period, T, of the oscillation by the number of oscillations in that period. The period of the oscillation is the time taken for one complete cycle of the sine wave, which is 1/8 seconds. Thus, the time taken for one oscillation is:1 oscillation = T/1/8 s = 8T s4. The frequency of the oscillation is the reciprocal of the period, which is f = 1/T. Thus, the frequency is:f = 1/T = 1/(1/8) Hz = 8 Hz.

Normal income: 25 $

Last week's income: 25 + 20: 45 $

% = Last week's/normal = 45/25 ×100 =180 %

I would use weight of the rice after it has been fully cooked as a response variable.

The response variable I would use would be weight of the rice after it has been fully cooked. Different studies have depicted that when different types of rice are cooked, they absorb the water and the ingredients in which they are being cooked, and they concluded having different weights after being fully cooked. So, the suitable response variable would be the final weight of the rice after they are fully cooked. This response can be measured by comparing it to the initial weight of rice before cooking.

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Answer:

Step-by-step explanation:

Given:

Convert parsec to km:

Find the radius of Segue 2 in parsecs:

The probability that both Michelle and Garth will drive a red bumper car is 1/22.

The bumper car ride at the state fair has 3 red cars, 4 green cars, and 5 blue cars. Michelle is first in line for the ride and is assigned a car at random. Garth is next in line and is randomly assigned a car. We have to find the probability that both Michelle and Garth will drive a red bumper car.

Probability of Michelle driving a red car = 3/12 or 1/4Probability of Garth driving a red car after Michelle has been assigned a red car is = 2/11 Let A be the event of Michelle driving a red car and B be the event of Garth driving a red car. Then, we have to find P(A and B). P(A and B) = P(A) * P(B after A)⇒ P(A and B) = 1/4 * 2/11⇒ P(A and B) = 1/22 Therefore, the probability that both Michelle and Garth will drive a red bumper car is 1/22.

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(a) the equation of the least squares line is y = (3/5)x - 1/5. b) Hence, the least-squares error for the given data points is 26/5.

To find the slope, we use the formula:

m = (nΣxy - ΣxΣy) / (nΣx^2 - (Σx)^2)

Using the given data points:

Σx = -1 + 2 + 1 = 2

Σy = -1 + 2 + 0 = 1

Σxy = (-1)(-1) + (2)(2) + (1)(0) = 5

Σx^2 = (-1)^2 + 2^2 + 1^2 = 6

n = 3

Substituting these values into the formula, we get:

m = (3(5) - (2)(1)) / (3(6) - (2)^2) = 3/5

To find the y-intercept, we use the formula:

b = (Σy - mΣx) / n

Substituting the values, we get:

b = (1 - (3/5)(2)) / 3 = -1/5

Therefore, the equation of the least squares line is y = (3/5)x - 1/5.

(b) To compute the least-squares error, we need to calculate the sum of the squared differences between the observed y-values and the predicted y-values using the least squares line.

Using the given data points and the equation of the least squares line, we calculate the squared differences and sum them up:

(-1 - (-1/5))^2 + (2 - (6/5))^2 + (0 - (2/5))^2 = 26/5

Hence, the least-squares error for the given data points is 26/5.

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y equals x times 5 is the answer because 2 times 5 is 10 and so on and so forth hope this helps :D

Two different ways we can measure exactly 1 Liter are:

Use of the 500 mL cup two times

Use the 300 mL cup 3 times in total and the 100 mL cup once

This question we want to know the different combination of the given cups that can lead to us getting a volume of 1 liter.

Now, we know that

1 L = 1000 mL

This means that we can make use of the 500 mL cup two times in total to get:

500 mL + 500 mL= 1000 mL = 1 L

Another way we can do the 1 liter is that we can use the 300 mL cup 3 times in total and the 100 mL cup once to get:

300 mL + 300 mL + 300 mL + 100 mL = 1000 mL = 1 L

Other ways are:

- use of the 500 mL cup two timese the 100 mL cup

- Take 10 times the 100-mL cup

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Complete question is:

Suppose you have a 100-mL cup,a 300-mL cup, and a 500-mL cup. list two different ways you can measure exactly 1 L

Answer: 2

Step-by-step explanation:

By the geometric mean theorem,

\(\sqrt{8k}=4\\\\8k=16\\\\k=\boxed{2}\)

Answer:

uh you didnt put the picture please put the picture i really want to help you:)

Step-by-step explanation:

Answer:

bra

Step-by-step explanation:

Answer:

P≈28.28cm  = 28 cm

Step-by-step explanation:

Using the formulas

P=4a

d=√2a

Solving forP

P=2 √2d=2·√2·10≈28.28427cm

Declan has 9 dimes and 8 quarters in his pocket.

An equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the number of dimes and y represent the number of quarters.

A dime is worth 10 cents. A quarter is worth 25 cents.

Declan has 17 coins in his pocket, Hence:

x + y = 17    (1)

Also, The value of the coins is 290 cents.:

10x + 25y = 290  (2)

From equation 1 and 2:

x = 9, y = 8

Declan has 9 dimes and 8 quarters in his pocket.

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Answer:

Step-by-step explanation:

The problem requests numbers of dimes and quarters, so we can assign a variable to each of those numbers. Let x and y represent the numbers of dimes and quarters Declan has, respectively. (If we were solving this by hand, we might choose d and q to remind us what they stand for. Solving graphically, we use variables the graphing calculator recognizes.)

The problem statement tells us two relationships between these variables:

  x + y = 17 . . . . . the total number of coins is 17

  10x +25y = 290 . . . . .  the total value of the coins is 290 cents

(Note that a dime is worth 10 cents, so the number of cents represented by x dimes is 10x cents.)

__

The attached graph shows the solution to these equations. It is the point where the lines cross: (x, y) = (9, 8).

Declan has 9 dimes and 8 quarters.

_____

Additional comment

We prefer a graphing calculator for finding graphical solutions.

If you're doing this by hand, you can graph the equations using their x- and y-intercepts. Each of those is found by solving the equation when the other variable is zero.

These equations are in "standard form:"

  ax +by = c

Then the intercepts are ...

  x-intercept = c/a

  y-intercept = c/b

__

The y-intercept corresponding to the number of quarters is not on an integer point. (It is y = 290/25 = 11.6.) To plot the line for the second equation, you may want to choose y=10, so x=4. The point (4, 10) will be on that line, making the line easier to plot.

Answer:

Step-by-step explanation:

Remark

This is a regular pentagon. The information given is enough the find the area of 1 triangle. There are 5 such triangles. So find the area of 1 of the triangles. The answer will be 5 times as much.

Givens

b = 18.3

h = 12.6

Formula

1 triangle = 1/2 * b * h

5 such triangles = 5 times as much

Solution

Area(1_triangle) = 1/2 * 18.3 * 12.6

Area (1_triangle) = 115.29

Answer: 5 * 115.29

Answer: 576.45

Answer:

1/9

Step-by-step explanation:

1/9 is a fraction, so it is rational.

Answer:

1111111111/1000000000

Step-by-step explanation:

Answer:

2 cups left in the ceral box!

Step-by-step explanation:

please just trust me i worked it out and got the answer and you just have to trust me please! MAY I HAVE BRAINLIEST IF ITS RIGHT? HAVE A GREAT DAY!!!

If (x, y, z) and (x, y, z) are two distinct solutions, there must be an infinite number of solutions along the line passing through them. If 25 planes meet at two points, they meet at a common point i.e., the plane is concurrent.

If (x, y, z) and (x, y, z) are two solutions to a system of linear equations, then the line passing through these two points is also a solution. This is because the line passing through two points can be parameterized by the equation (x, y, z) = t(x1, y1, z1) + (1 - t)(x2, y2, z2) for some value of t between 0 and 1, where (x1, y1, z1) and (x2, y2, z2) are the two given solutions.

If 25 planes meet at two points, then those two points must lie on all 25 planes. Therefore, the planes must be concurrent (i.e., they meet at a common point). By the Fundamental Theorem of Linear Algebra, the number of equations in a system of linear equations must be greater than or equal to the number of unknowns for there to be a unique solution.

In this case, since there are only two points of intersection among the 25 planes, the system of equations cannot have a unique solution and must either have no solutions or an infinite number of solutions.

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Mr. Jones will be able to eat at the buffet restaurant approximately 4 times in a month.

To determine how many times Mr. Jones will be able to eat at the buffet restaurant based on his budget, we need to divide his monthly budget by the cost per visit.

Mr. Jones budgets $42 for the month, and the cost per visit is $9.

Number of visits = Monthly budget / Cost per visit

= $42 / $9

≈ 4.67

Since we cannot have a fractional number of visits, we round down to the nearest whole number because Mr. Jones cannot have a partial visit. Therefore,

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The approximate difference between the values of the cars after 4 years is $134.82.

Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

To find the difference between the values of the cars after 4 years, we can subtract the value of Mason's car from the value of Brian's car at t = 4.

f(4) = 21,500(0.87)^4 ≈ 11,426.91

g(4) = 19,200(0.91)^4 ≈ 11,292.09

Therefore, the approximate difference between the values of the cars after 4 years is:

f(4) - g(4) ≈ 11,426.91 - 11,292.09 ≈ 134.82

So the approximate difference is $134.82.

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Answer:

1. acute 2. isosceles

Step-by-step explanation:

1. Acute means less then a 90 degree angle a hanger has a degree of about 60.

2. isosceles means it has 2 sides the same length a hanger has 2 sides the same length.