What is the probability of picking exactly 1 red and 1 green ball without replacement from a bag that contains 5 red, 6 green, and 4 blue balls? 0.250 0.083 0.143 O 0.104

Step-by-step explanation:

Slope = (y2-y1)/(x2-x1)

Slope = (4-7)/(7-1)

Slope = -3/6

Slope = -1/2

The value of x that satisfies the equation 5x + 10 = 20 is 2.

Equations are mathematical statements that use symbols, variables, and operations to show a relationship between two or more quantities. In this particular equation, you are given the values of some variables and asked to solve for one of them.

The equation given is 5x + 10 = 20. This equation has one variable, x, which represents an unknown quantity. The goal is to find the value of x that satisfies the equation, meaning that when you substitute that value into the equation, both sides will be equal.

To solve for x, we need to isolate it on one side of the equation. One way to do this is by using inverse operations, which are operations that undo each other. In this case, we can start by subtracting 10 from both sides of the equation to get:

5x + 10 - 10 = 20 - 10

Simplifying this, we get:

5x = 10

Next, we can isolate x by dividing both sides of the equation by 5:

5x / 5 = 10 / 5

Simplifying this, we get:

x = 2

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Complete Question:

What is a value of x if the equation is 5x + 10 = 20?

The relationship between the independent and dependant variable is the independent variable depends on the dependent variable to show what is being measured or the change in the results.

Answer:A hypothesis states a presumed relationship between two variables in a way that can be tested with empirical data. It may take the form of a cause-effect statement, or an "if x,...then y" statement. The cause is called the independent variable; and the effect is called the dependent variable.

Step-by-step explanation:

Answer:

Step-by-step explanation:

It is shaded on the top side because y is greater than or equal to 2x

Answer:

B (x,y) —> (-6x,4y)

Step-by-step explanation:

6 is moving left which is negative

4 is moving up which is positive

The final transformation is y = 3 f ( x - 5 ) + 5.

A function g is given as g ( x ) =  3x + 5.

Identify the parent function.

Then use the steps for graphing multiple transformations of functions to list, in order, the transformations applied to the parent function to obtain the graph of g.
Parent function: f(x) = x
Given, g(x) = 3x + 5
Shift the graph off to the right 5 units, shrink the graph vertically 1 by a factor of 3 and shift the graph upward by 5 units.
Thus, the transformation steps are:
Shift right by 5 units
Shrink vertically by a factor of 3
Shift upward by 5 units
The final transformation is y = 3 f ( x - 5 ) + 5.

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12/20 is the equivalent fraction of 3/5 with denominator 20 and 5/20 is the equivalent fraction of 1/4 with denominator 20

A fraction represents a part of a whole.

The given fractions are 3/5 and 1/4.

We need to write there equivalent fractions.

Equivalent fractions are those fractions whose answer will be same once we simplify.

The equivalent fraction of 3/5 with denominator 20

3/5×4/4=12/20

12/20 is the equivalent fraction of 3/5 with denominator 20.

Now let us find the equivalent fraction of 1/4 with denominator 20

1/4×5/5

5/20

5/20 is the equivalent fraction of 1/4 with denominator 20.

Hence, 12/20 is the equivalent fraction of 3/5 with denominator 20 and 5/20 is the equivalent fraction of 1/4 with denominator 20.

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i) Distance between X and Y along the equator ≊ 6258 km

ii) Distance of X from the North pole ≊ 10057 km

What is the equator ?

The Equator is a fictitious line that circles the globe's center. The line that separates the Northern Hemisphere from the Southern Hemisphere is located halfway between the North and South Poles.

The Longitude difference = 123° - 67° = 56°

(i) Distance between X and Y along the equator

= (56/360)×2×(22/7)×6400cos(0)

= (56/360)×2×(22/7)×6400

= 6257.78 km  

≊ 6258 km

(ii) Latitude difference =  90°

Distance from the North pole

= (90/360)×2×(22/7)×6400

= 10057.14 km

≊10057 km

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Madison figures out the average and range of chloride readings from wells close to the ocean. Other than a query, she has carried out an operation. The answer id option (d).

The standard deviation is a measure of variance from the mean that takes spread, dispersion, and dispersion into account. The standard deviation displays a "typical" divergence from the mean. It is a well-liked measure of variability since it retains the primary units of measurement from the data set.  A minor variation occurs when the numbers are close to the mean, while a high variation occurs when they are far from the mean.

The standard deviation describes the degree to which the results deviate from the mean. The average deviation, which depends on all values, is the most often used metric for measuring dispersion. Consequently, the standard deviation's value can be altered even by a slight change in one value.

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1.The domain is (-∞, ∞), which represents all real numbers.

2.The range is (-∞, -2].

3. The values of x where y = 0 are x = -3 and x = -7.

4.When x = 0, y = 3.

1. The domain of a function is the set of all possible input values (x-values) for which the function is defined. In this case, the function is y = |x+5| - 2.

To determine the domain, we need to consider the values that x can take. Since the absolute value function is defined for all real numbers, there are no restrictions on the values of x. Therefore, the domain is (-∞, ∞), which represents all real numbers.

2. The range of a function is the set of all possible output values (y-values) that the function can produce. In this case, the function is y = |x+5| - 2.

To determine the range, we need to consider the values that y can take. The absolute value of a number is always non-negative, so the expression |x+5| will always be greater than or equal to 0. Subtracting 2 from this non-negative value will result in a range that is less than or equal to -2. Therefore, the range is (-∞, -2].

3. To find the values of x where y = 0, we need to solve the equation y = |x+5| - 2 = 0.

First, we add 2 to both sides of the equation to isolate the absolute value term: |x+5| = 2.

Next, we consider two cases: when the expression inside the absolute value is positive and when it is negative.

Case 1: x+5 > 0
In this case, the absolute value simplifies to x+5 = 2. Solving for x, we get x = -3.

Case 2: x+5 < 0
In this case, the absolute value simplifies to -(x+5) = 2. Solving for x, we get x = -7.

Therefore, the values of x where y = 0 are x = -3 and x = -7.

4. To find the value of y when x = 0, we substitute x = 0 into the equation y = |x+5| - 2.

y = |0+5| - 2
y = |5| - 2
y = 5 - 2
y = 3

Therefore, when x = 0, y = 3.

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the answer is 3 hundreds cuz

Answer:

3 hundreds=300

30x10=300.

Answer:

-657

Step-by-step explanation:

\(a= -1\\b= 4\\\)

Substituting the value of a and b

\(3a^{2}-4ab-26^{2} \\3(-1)^{2} -4(-1)(4)-676\\3-4(-4)-676\\3+16-676\\19-676\\-657\)

The value of    3a²-4ab-26²  is -657

(4.1) The sets in σ(X), the sigma-algebra generated by random variable X, can be determined by considering the pre-images of X. Since X can take two possible values, 1 and -1/2, the sets in σ(X) will be all possible combinations of these values. Therefore, the sets in σ(X) are:

{∅, Ω, {ω1, ω2, ω3}, {ω4, ω5, ω6}, {ω1, ω2, ω3, ω4, ω5, ω6}}.

(4.2) To determine E[Y|X] and E[Z|X], we need to find the conditional expectations of Y and Z given X for each ωi.

For Y:

E[Y|X=1] = Σ P(ωi|X=1)Y(ωi) = P(ω1|X=1)Y(ω1) + P(ω2|X=1)Y(ω2) + P(ω3|X=1)Y(ω3) + P(ω4|X=1)Y(ω4) + P(ω5|X=1)Y(ω5) + P(ω6|X=1)Y(ω6)

= 0*(-1) + 0*(-1) + 1*(-1) + 0*(-1) + 0*(-1) + 0*(-1) = -1.

E[Y|X=-1/2] = Σ P(ωi|X=-1/2)Y(ωi) = P(ω1|X=-1/2)Y(ω1) + P(ω2|X=-1/2)Y(ω2) + P(ω3|X=-1/2)Y(ω3) + P(ω4|X=-1/2)Y(ω4) + P(ω5|X=-1/2)Y(ω5) + P(ω6|X=-1/2)Y(ω6)

= 1*(-1) + 1*(-1) + 0*(-1) + 1*(-1) + 1*(-1) + 1*(-1) = -6.

For Z:

E[Z|X=1] = Σ P(ωi|X=1)Z(ωi) = P(ω1|X=1)Z(ω1) + P(ω2|X=1)Z(ω2) + P(ω3|X=1)Z(ω3) + P(ω4|X=1)Z(ω4) + P(ω5|X=1)Z(ω5) + P(ω6|X=1)Z(ω6)

= 0*(1-1) + 0*(1-1) + 1*(1-1) + 0*(1+1) + 0*(1+1) + 0*(1+1) = 0.

E[Z|X=-1/2] = Σ P(ωi|X=-1/2)Z(ωi) = P(ω1|X=-1/2)Z(ω1) + P(ω2|X=-1/2)Z(ω2) + P(ω3|X=-1/2)Z(ω3) + P(ω4|X=-1/2)Z(ω4) + P(ω5|X=-1

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Answer:

each trip travelled 3106 km

Step-by-step explanation:

The computation of the each ship travelled is shown below:

= Distance travelled ÷ number of ships

= 6212 km ÷ 2 ships

= 3106 km

Hence, each trip travelled 3106 km

We simply applied the above formula

Answer: C

Step-by-step explanation:

since slope is rise/run its 2 and since the line is a negative slope the slope of the line is -2. and the y-intercept of the line is -2.

y = mx+b

m = -2

b= -2

Answer: C. y= -2x -2

The probability of selecting an orange marble is 0.33.

Option B is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The number of times each marble is selected.

Green = 4

Black = 6

Orange = 5

Total number of times all marbles are selected.

= 4 + 6 + 5

= 15

Now,

The probability of selecting an orange marble.

= 5/15

= 1/3

= 0.33

Thus,

The probability of selecting an orange marble is 0.33.

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Answer:

Rectangle

Step-by-step explanation:

I'm assuming, since "points shown" isn't actually visible, the cross-section would split through the middle, perpendicular to the two triangular bases and is a parallel plane to the rectangular face.

The correct answer is option B, a reflection over the y-axis followed by a translation of (1,y) → (1, y-6).

To solve this problem, we need to find the sequence of rigid motions (i.e., transformations that preserve distance and angle) that maps quadrilateral ABCD to quadrilateral EFGH.

First, we need to identify the corresponding vertices of the two quadrilaterals. Let's assume that vertex A maps to vertex E, vertex B maps to vertex F, vertex C maps to vertex G, and vertex D maps to vertex H.

Now, we can apply different transformations to map each vertex of quadrilateral ABCD to the corresponding vertex of quadrilateral EFGH. We can try each option provided and check if it maps all the vertices correctly.

Option A involves a reflection over the x-axis, followed by a translation of (0,y) → (0, y - 4). This transformation does not map vertex A to vertex E correctly.

Option B involves a reflection over the y-axis, followed by a translation of (1,y) → (1, y - 6). This transformation maps vertex A to vertex E, vertex B to vertex F, vertex C to vertex G, and vertex D to vertex H, which is the correct mapping.

Option C involves a translation of (+,y) → (2, y - 3) followed by a reflection over the y-axis. This transformation does not map vertex A to vertex E correctly.

Option D involves a translation of (1-6, y) followed by a reflection over the x-axis. This transformation does not map vertex A to vertex E correctly.

Therefore, the unique sequence of rigid motions that maps quadrilateral ABCD to quadrilateral EFGH is a reflection over the y-axis followed by a translation of (1,y) → (1, y-6), which is option B.

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Answer:

6 x 3= 18

162/18=9

Each student sells 9 balloons.

Step-by-step explanation:

Answer:

9 balloons sold per student

Step-by-step explanation:

6 total groups 3 per group

6*3=18

18 students selling balloons

162/18=9

9 balloons sold per student

9514 1404 393

Answer:

  6 feet

Step-by-step explanation:

The volume of a cylinder is given by ...

  V = πr^2·h

For a sphere, the volume is ...

  V = 4/3πr^3

You want the volumes to be the same when h=8, so we have ...

  πr^2·8 = 4/3πr^3

Dividing by πr^2, we have ...

  8 = 4/3r

  r = 3/4·8 = 6

The radius is 6 feet.

To find two divergent series, summation from n equals 1 to infinity of a_n and summation from n equals 1 to infinity of b_n, such that their product converges, we can consider the following series:

1. Summation from n equals 1 to infinity of a_n = ∑(1/n)
2. Summation from n equals 1 to infinity of b_n = ∑n

Solution:

1. The first series, ∑(1/n), is known as the harmonic series. It is a famous example of a divergent series, meaning that its sum approaches infinity as n approaches infinity.

2. The second series, ∑n, is an arithmetic series where the terms increase linearly. This series is also divergent, as the sum increases without bound as n approaches infinity.

Now, we need to verify that the product of these series converges:

3. Summation from n equals 1 to infinity of (a_n * b_n) = ∑((1/n) * n)

4. Simplifying the expression, we get ∑(1), which is a constant series with all terms equal to 1.

5. The sum of the constant series converges, as it approaches a finite value when n approaches infinity.

In conclusion, the two divergent series summation from n equals 1 to infinity of a_n = ∑(1/n) and

summation from n equals 1 to infinity of b_n = ∑n, have a product that converges, as their product ∑((1/n) * n) simplifies to a constant series ∑(1), which has a finite sum.

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Answer:

The first card is the answer to your problem! Hopes this helps!;)

Answer:

Becuase

Step-by-step explanation:

-5.62 +5.62 is 0. 0 divided b7 5.62 is 0. 8.29 times 0 is 0

The value of b of the equation is -9/5

Given that: line JK passes through points J(-4,-5) and K(-6,3) and if the equation of the line is written in slope-intercept form, y=mx+b

The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system

Using the y-y₁/y₂-y₁ = x-x₁/x₂-x₁

where (x₁, y₁) = (-4,-5) and (x₂, y₂) = (-6,3), the equation is:

y-(-5) / 3-(-5) = x-(-4)/-6-(-4)

y+5 / 3+5 = x+4 /6+4

(y+5)/8 =  (x+4)/10       cross multiply:

10(y+5) = 8(x+4)

10y + 50 = 8x + 32

10y = 8x +32 - 50

10y = 8x - 18

y = 8x/10 - 18/10

y = 4x/5 - 9/5

Comparing y = 4x/5 - 9/5 with y=mx+b

b = -9/5

Therefore, the value of b is -9/5

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Answer: positive

y=0.04x-0.77

Step-by-step explanation:

Answer: 26

Step-by-step explanation:

I always look at it like mean is mean because you have to do two steps.

Step one - add them all up 23 +30+ 27+ 30+ 20= 130

Step two - Divide that number (130) by the number of numbers ( that would be 5) EXAMPLE -- 23 is one 30 is two and so on

Using the formula of volume of rectangular prism;

1. The volume of the rectangular prism is 3672cm³

2. The volume of the rectangular prism is 630in³

3. The volume of the rectangular prism is  3744ft³

The volume of a rectangular prism can be calculated by multiplying its length (l), width (w), and height (h). The formula for the volume of a rectangular prism is:

Volume = length × width × height

V = l × w × h

By substituting the given values for the length, width, and height into the formula, you can calculate the volume of the rectangular prism.

1. To find the volume of the rectangular prism, we have to substitute the value into the formula;

v = 9 * 24 * 17

v = 3672cm³

2. The volume of the rectangular prism is given as;

v = 4.5 * 14 * 10

v = 630in³

3. The volume of the rectangular prism is given as;

v = 8 * 12 * 39

v = 3744ft³

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Inequalities are used to compare unequal expressions.

The inequalities that will have -0.5, 2.5, and 4 in the solution set are A, B, and D.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

In order to find the inequality that has -0. 5, 2. 5, and 4 as part of the solution set. we will discuss every inequality individually,

A.) Z > -3

In the given inequality, the solution set is every number from -2 to +∞. therefore, the solution set will have -0.5, 2.5, and 4 as solutions.

B.) X<5

In the given inequality, the solution set is every number from 4 to -∞. therefore, the solution set will have -0.5, 2.5, and 4 as solutions.

C.) Z<4

In the given inequality, the solution set is every number from 3 to -∞. therefore, the solution set will have -0.5, and 2.5 as its solution but will not contain 4 as the solution.

D.) Z≤4

In the given inequality, the solution set is every number from 4 to -∞. therefore, the solution set will have -0.5, 2.5, and 4 as solutions.

E.) Z>0

In the given inequality, the solution set is every number from -1 to -∞. therefore, the solution set will have -0.5 as the solution but will not have  2.5, and 4 as the solutions.

Hence, the inequalities that will have -0.5, 2.5, and 4 in the solution set are A, B, and D.

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The mathematical mistake that Riley made is that She used the wrong common denominator.

A common denominator is a factor that all of the fractions in the set of equations have in common.

Thus, the appropriate response is:

(2(2x² - 6x + 9))/((x-3) (x-2) (x+3))

See the steps in the proper order below:

Step 1: The expression is as follows:

(x/(x-3)(x-2)) + (3/(x+3))

Locate the common denominator in step 2 and rewrite the formula so that the numerators are higher than the common denominators.

Thus, we have:  (x (x+3) + 3(x-3) (x-2))/(x-3)(x-2)(x+3)

Applying the Law of Multiplicative Distribution in Step 3

Thus, we have  (x² +3x+3x²-9x-6x+16)/(x-3)(x-2)(x+3)

Step 4: Gather Related Items

This results in:  (x²+3x²)+(3x-9x-6x)+18/(x-3)(x-2)(x+3)

Step 5: Group like coefficients together

This results in: ((1+3)x² +(3-9-6) * x + 18)/(x-3)(x-2)(x+3)

Step 6: Determine the difference or sum

This results in:(4x²+(3-9-6) * x+ 18)/(x-3)(x-2)(x+3)

To obtain, we factor and simplify the expression.

(2(2x²-6x+6)/(x-3)(x-2)(x+3).

Your question is incomplete but most probably your full question was

Riley makes a mistake in step 2 while doing her homework. What was her mistake? StartFraction x Over x squared minus 5 x + 6 EndFraction + StartFraction x Over x + 3 EndFraction Step 1: StartFraction x Over (x minus 2)(x minus 3) EndFraction + StartFraction 3 Over x + 3 EndFraction Step 2: StartFraction x Over (x minus 2) (x + 3) EndFraction + 3 (x minus 2) Over (x minus 2) (x + 3) EndFraction Step 3: StartFraction x + 3 x minus 6 Over (x minus 2) (x + 3) EndFraction Step 4: StartFraction 4 x minus 6 Over (x minus 2) (x + 3) EndFraction She added the two fractions incorrectly. She used the wrong common denominator. She did not distribute the negative correctly. She did not multiply the first fraction by a factor. Mark this and return

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The Solution:

The Multiples of 6:

The Multiples of 4:

The smallest number of the two lists is 12, so the Lowest Common Multiple of 6 and 4 is 12

Answer:

II

Step-by-step explanation:

All the other options create a number that is smaller than 7, while the inequality suggests otherwise.

While, II create the number 9 - which is indeed bigger then 7

Glad to help ÷)