Suppose you have a bag of m&ms 4 green 6 yellow 7 purple 3 red. what is the probability you select a brown m&m

Answer:

f(-3) = 6

Step-by-step explanation:

\(f(-3)=\frac{2}{3} (-3)+8=\frac{2(-3)}{3} +8=-\frac{6}{3}+8= -2+8=6\)

Hope this helps.

Answer:

f(x) = 6

Step-by-step explanation:

f(-3) means replace the x in f(x) with a -3, and replace every x in the equation with -3.

f(-3) = (2/3)x + 8

      = (2/3) (-3) + 8

      = (2 X -3)/3 + 8

      = -6/3   + 8

      = - 2 + 8

      = 6

If a customer purchases 3 of the products, the probability of getting at least one that is defective is 38.59%.

In order to determine the probability of getting at least one defective product if a customer purchases three products with a defective rate of 7.5%, we can use the concept of complementary probability.

The probability of getting at least one defective product can be calculated as the complement of the probability of getting none defective products.

So, the probability of getting no defective products is:

P(none defective) = (1 - 0.075)³ = 0.6141

Therefore, the probability of getting at least one defective product is:

P(at least one defective) = 1 - P(none defective) = 1 - 0.6141 = 0.3859 or 38.59%

.So, the probability of getting at least one that is defective is 38.59%.

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To find the measure of angle BOC, set the expressions for m∠AOD and m∠BOC equal and solve for x. Then substitute the value of x back into the expression for m∠BOC to find its measure, which is 30°.

To find the measure of angle BOC, we can set the expressions for m∠AOD and m∠BOC equal to each other and solve for x.

7x - 5 = 3x + 15

Subtract 3x from both sides: 4x - 5 = 15

Add 5 to both sides: 4x = 20

Divide both sides by 4: x = 5

Now that we know x = 5, we can substitute it back into the expression for m∠BOC to find its measure.

m∠BOC = (3x + 15)° = (3*5 + 15)° = 30°

Therefore, the measure of ∠BOC is 30°, which corresponds to option B.

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By dividing the input gear's circumference by the output gear's circumference, we may determine the gear ratio between two gears .

A mathematical comparison of two or more quantities that are somehow connected to one another is called a ratio. A colon or the phrase "to" might be used to denote the fractional part of the expression.  Ratios can be employed in a variety of mathematical operations, including simplification, multiplication, and division by a common factor. They are frequently utilised in daily life, including in financial planning, sports statistics, and cooking recipes.

given

GearCombination DriverGearTeeth   FollowerGearTeeth GearRatio

         A-B                     30                      60                     2

          B-C                     60                         20                      3

          C-D                    20                          40                       2

          D-E                    40                            30               1

By dividing the input gear's circumference by the output gear's circumference, we may determine the gear ratio between two gears.

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The most negative number corresponds to the variable that has the largest impact on the Value of the objective function. So, maximizing it first is most efficient.

What is pivot column in simplex method?

The Simplex method's pivot column is selected by the fundamental variable's biggest reduced cost coefficient. 4. The highest ratio of right side parameters to positive coefficients in the pivot column determines the pivot row in the Simplex approach.

A location of a leading entry in the matrix's echelon structure. A pivot is a non-zero number that is either transformed into a leading 1 and then used to make 0s, or it is utilized in a pivot position to create 0s.

The element of a matrix or array chosen first by an algorithm (such as Gaussian elimination, simplex algorithm, etc.) to do particular computations is known as the pivot or pivot element.

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The equation to plot in the complex Cartesian plane is 2Re(z) - |z²| ≥ -3Im(iz).

To plot the equation 2Re(z) - |z²| ≥ -3Im(iz) graphically, you can follow these steps:

1. Represent the complex number z in terms of its real and imaginary parts, z = x + yi, where x is the real part and y is the imaginary part.

2. Substitute the values of x and y into the equation and simplify it.

3. Separate the equation into real and imaginary parts.

4. For each part, plot the corresponding inequality on the Cartesian plane.

- For the real part, plot the inequality 2x - |(x + yi)²| ≥ -3y.

- For the imaginary part, plot the inequality 0 ≥ 0 (as -3Im(iz) = 0 for all values of x and y).

5. Determine the common region that satisfies both inequalities. This region represents the solution to the original equation.

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A system of equations with one linear equation and one quadratic equation has "zero or one or two" solutions.

Consider a system of equations with one linear equation and one quadratic equation as

Case (1): y = x² + 4x + 2 ...(1)

and x + y = 2 ...(2)

By the substitution method:

from (2), y = 2 - x; Substituting in (1)

⇒ 2 - x = x² + 4x + 2

⇒ x² + 4x + 2 + x - 2 = 0

⇒ x² + 5x = 0

⇒ x(x + 5) = 0

∴ x = 0 and x = -5

If x = 0, then y = 2 - 0 = 2

If x = -5, then y = 2 + 5 = 7

So, the system has two solutions at (0, 2) and (-5, 7).

Case (2): y = x² + 4x + 2 ...(1)

and x - y = 2 ...(2)

By the substitution method:

from (2), y = x - 2; Substituting in (1)

⇒ x - 2 = x² + 4x + 2

⇒ x² + 4x + 2 + 2 - x = 0

⇒ x² + 3x + 4 = 0

we know that b² - 4ac will decide the nature of roots.

So, (3)² - 4(1)(4) = 9 - 16 = -7 < 0

Since the determinant is less than 0, the roots are imaginary. Hence the system has no solution. That means the line and the parabola do not meet.

Case (3): y = x² + 4x + 2 ...(1)

and y = x - 1/4 ...(2)

Substituting (2) in (1), we get

⇒ x - 1/4 = x² + 4x + 2

⇒ x² + 4x + 2 - x + 1/4 = 0

⇒ x² + 3x + 9/4 = 0

⇒ 4x² + 12x + 9 = 0

⇒ (2x + 3)² = 0

⇒ 2x + 3 = 0

∴ x = -3/2

If x = -3/2 then y = -3/4 - 1/4 = -7/4

So, the system has one solution at (-3/2, -7/4).

Therefore, the given type of system has "zero or one or two" solutions.

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Answer:

Step-by-step explanation:

x = 4

3x^2

3(4)^2

3(16)= 48

Answer:

- 2 8/25

Step-by-step explanation:

Hope this helps! If it does, please mark me brainliest because it will help me. Thank you so much! ;) :)

Answer:

-2.32 as a mixed number is -2 32/100 = -2 8/25

The slope of the tangent line to the curve f(x) = -\(3x^2 - 6x\) at x = 1 is -12.

The correct option is d) mz.12

To find slope of the tangent line:

The slope of the tangent line to a curve at a specific point is given by the derivative of the function at that point.

In this case, the function is f(x) = \(-3x^2 - 6x\) and we want to find the slope of the tangent line at x = 1.
To do this,

we need to find the derivative of f(x) with respect to x, which is f'(x) = -6x - 6.

Then, we can evaluate this derivative at x = 1 to get the slope of the tangent line:
f'(1) = -6(1) - 6 = -12
Therefore, The slope of the tangent line to the curve f(x) = \(-3x^2 - 6x\) at x = 1 is -12.

The correct option is d) mz.12

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Answer:

its in the shape of a tringle

Step-by-step explanation:

Answer:

See attached

Step-by-step explanation:

Definitely not a genius but I took a swing at it.  I just plotted the points; I didn't connect anything.

Answer:

38

Step-by-step explanation:

6 times 5 =30

d=8

30+8-38

Side of the square is 12 cm. Area of the rectangle is equal to the area of the square and length of the rectangle is 16 cm. ∴ The required Perimeter of the rectangle is 50 cm.

The probability that the time until an accident occurs exceeds the mean time by more than 2 standard deviations is 0.0228 or 2.28%.

Using the standard normal distribution (Z) table.
Step 1: Convert the problem into a Z-score. In this case, the Z-score is 2 because we are looking for the probability of exceeding the mean by more than 2 standard deviations.
Step 2: Look up the Z-score of 2 in the standard normal distribution table. You will find a probability value of 0.9772. This value represents the probability that the time until an accident occurs is within 2 standard deviations from the mean.
Step 3: Since we are looking for the probability that the time exceeds the mean by more than 2 standard deviations, we need to find the probability of the complement. Subtract the probability found in Step 2 from 1.
1 - 0.9772 = 0.0228
So, the probability that the time until an accident occurs exceeds the mean time by more than 2 standard deviations is 0.0228 or 2.28%.

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Answer:

A

Step-by-step explanation:

Set the equation equal to bx.

\((3x + 3)(ax - 2) - {x}^{2} + 6 = bx\)

\(3a {x}^{2} - 6x + 3ax - 6 - {x}^{2} + 6 = bx\)

Cancel out the constants

\(3 {ax}^{2} - 6x + 3ax - x {}^{2} = bx\)

In order to cancel out the quadratics, we must solve for a.

\(3 {ax}^{2} - {x}^{2} = 0\)

\(3 {ax}^{2} = {x}^{2} \)

\(3a = 1\)

\(a = \frac{1}{3} \)

So plug in 1/3 for a.

\(3( \frac{1}{3} ) {x}^{2} - 6x + 3( \frac{1}{3} )x - {x}^{2} = bx\)

\( - 6x + x = bx\)

\( - 5x = bx\)

\(b = - 5\)

The area of the composite figure composed of two rectangles is 217 centimetres squared

The area of the composite figure can be found as follows:

The area of the composite figure can be found by adding up the individual area of each shape in the figure.

Therefore,

area of the figure = area of rectangle + area of rectangle

area of a rectangle = lw

where

Therefore,

area of the figure =  (14 × 11) + (7 × 9)

area of the figure = 154 + 63

area of the figure = 217 cm²

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The Discriminant of the quadratic equation "2x + 5x² = 1" is 24  .

The Discriminant(D) of the Quadratic Equation ax² + bx + c can be calculated using the formula ; D = b² - 4ac .

the quadratic equation is given as 2x + 5x² = 1 ;

after rearranging the terms ,

the equation can be written as :

⇒ 5x² \(+\) 2x - 1 = 0  ;

Substituting the values in the discriminant formula ,

we get ;

D = (2)² - 4×5×(-1)

Simplifying further ,

we get ;

D = 4 + 20

D = 24 .

Therefore , the value of the Discriminant is 24 .

The given question is incomplete , the complete question is  

What is the discriminant of the quadratic equation 2x + 5x² = 1  ?

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Answer:

when h(x) = 0, x = 7/3

Step-by-step explanation:

0 = 3x - 7

7 = 3x

7/3 = x

Answer: $7.65 for a dozen/12

Step-by-step explanation: 2.55 x 3

Answer:

9

Step-by-step explanation:

190 people=3 busses

570:190=3

so, 570 people= 190p. + 190p. +190p.= 3 busses +3 busses + 3 busses

Step-by-step explanation:

190 people = 3 busses

570:190=3

b) h = \(tan \theta\)  x 17 is the required equation.

c) The height of the streetlight is 20.4 ft.

The height of the person is 6 ft.

The distance at which the person is standing from the streetlight = 12 ft.

The distance at which the person's shadow appears = 5ft.

a) Hence, we can make the following diagram.

The right triangle below gives a visual representation of the problem. It shows the known quantities and a variable 'h' to indicate the height of the streetlight.

b) Let's now find an equation trigonometric function involving the unknown quantity 'h'.

from the below diagram, we can say that,

\(tan \theta\) = h/base

base= 12+5=17

hence we have, \(tan \theta\) = h/17

h = \(tan \theta\)  x 17 is the required equation.

c) Now we have to find the height of the streetlight.

firstly let's find the value of \(\theta\),

\(\theta\) = tan 6/5.

\(tan^{-1}\)(6/5) = 50.2°

hence, tan 50.2 = h/17

                   1.20 = h/17

                         h= 1.20 x 17

                         h= 20.4 ft.

Hence, the height of the streetlight is 20.4 ft.

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Answer:

(x - 5)(x - 5)

Step-by-step explanation:

\( {x}^{2} - 10x + 25 \: is \: the \: expansion \\ of \: {(x - 5)}^{2} \\ {(x - 5)}^{2} = (x - 5)(x - 5)\)

The complete factorization of the quadratic expression x² - 10x + 25 is (x - 5)(x - 5). Hence the first option is the right choice.

A quadratic expression of the form ax² + bx + c is factored by using the mid-term factorization method, which suggests that b should be broken in such two components that their product = ac. After this, we can factorize using the grouping method.

In the question, we are asked to factor the quadratic expression x² - 10x + 25 completely.

Comparing x² - 10x + 25 to ax² + bx + c, we get a = 1, b = -10, and c = 25.

To factor the expression we will use the mid-term factorization method, and try to break b in such two numbers whose product = ac.

Now, ac = 1 * 25 = 25. b = -10, which can be broken as -5, and -5.

Therefore, we can write the given expression as:

x² - 10x + 25

= x² - 5x - 5x + 25, mid-term factorization

= x(x - 5) -5(x - 5), grouping

= (x - 5)(x - 5), grouping.

Therefore, the complete factorization of the quadratic expression x² - 10x + 25 is (x - 5)(x - 5). Hence the first option is the right choice.

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Answer:

I think it's 22.65 but I'm not for sure

The linear equation that represents the relationship between the cost of a taxi, C, and the distance traveled, d, is C = 1.9d + 3.7. This equation shows that the cost of the taxi increases by 1.9 dollars for every kilometer traveled, with an additional fixed cost of 3.7 dollars.

To develop the linear equation, we need to consider the given information about the cost of the taxi for two different distances. When traveling 15km, the cost is $32.20, and when traveling 20km, the cost is $41.70. We can set up two equations based on this information:

32.20 = 1.9(15) + 3.7

41.70 = 1.9(20) + 3.7

Simplifying these equations, we get:

32.20 = 28.5 + 3.7

41.70 = 38 + 3.7

Solving these equations, we find:

32.20 = 32.20 (True)

41.70 = 41.70 (True)

Since both equations are true, we can conclude that the linear equation C = 1.9d + 3.7 accurately represents the relationship between the cost of the taxi, C, and the distance traveled, d. This means that for every kilometer traveled, the cost of the taxi increases by 1.9 dollars, and there is an additional fixed cost of 3.7 dollars.

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Answer:

Your answer is B) Function 1 has the smaller minimum value of -14.

Step-by-step explanation:

Method 1: Looking at the Function 1 and 2 points.

Method 2:

I have graphed functions 1 and 2 onto desmos to help determine which one has the smaller minimum.

Answer:

No

Step-by-step explanation:

When you plug in the numbers, you get:

9>6+3

9 is equal to 9, not greater than.

The integral of (sec^2(t)i + t(t^2 + 1)^4j + t^8 ln(t)k) dt is equal to (tan(t)i + (t^7/7 + t^5/5 + t^3/3 + t)j + (t^9/9 ln(t) - t^9/81)k) + C, where C is the constant of integration.

To evaluate the given integral, we need to integrate each component of the vector separately. Let's consider each term one by one:

For the term sec^2(t)i, we know that the integral of sec^2(t) is equal to tan(t). Therefore, the integral of sec^2(t)i with respect to t is simply equal to tan(t)i.

For the term t(t^2 + 1)^4j, we can expand the term (t^2 + 1)^4 as (t^8 + 4t^6 + 6t^4 + 4t^2 + 1). Integrating each term individually, we obtain (t^9/9 + 4t^7/7 + 6t^5/5 + 4t^3/3 + t)j.

For the term t^8 ln(t)k, we integrate by parts, treating t^8 as the first function and ln(t) as the second function. Using the formula for integration by parts, we get (t^9/9 ln(t) - t^9/81)k.

Combining the results from each term, the integral of the given vector becomes (tan(t)i + (t^9/9 + 4t^7/7 + 6t^5/5 + 4t^3/3 + t)j + (t^9/9 ln(t) - t^9/81)k) + C, where C is the constant of integration.

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Answer:

The number of boys, x = 12

Step-by-step explanation:

Given that the sum of the ages of the boys in a class = 84 years

The number of boys = x

A new boy aged 8 years 1 month is added and the average age increases by 1 month

We have

Average age = 84/x = y

Age of new boy = 8 years 1 month = \(8\frac{1}{12} \ year\)

New average = y + 1/12 = \((8\frac{1}{12}+84) /(x + 1)\) which gives;

84/x + 1/12 = \((8\frac{1}{12} + 84) /(x + 1)\)

\(\dfrac{x +1008}{12 \cdot x} = \dfrac{1105}{12 \cdot x+ 12}\)

(x + 1008)×(12·x + 12) = 1105× 12·x

12·x² -1152·x + 12096 = 0

x² -96·x + 1008 = 0

(x - 84)×(x - 12) = 0

Therefore, x = 12 or 84,

The number of boys are 12 or 84

For there to bee 84 boys, their average age would be one year each

Given that they are boys not babies, then there are only 12 boys.