A bag of M&M's has 5 red, 2 green, 6 blue, and 3 yellow M&M's. What is the probability of randomly picking a yellow?

In total, 28.4% of the students failed the exam.

The total number of students is 1,350. Of this, 850 are male and 500 are female. Of the 850 males, 62% passed while of the 500 females, 400 passed. To find the percentage of students who failed, we must subtract the total number of students who passed from the total number of students.

The equation for this problem is as follows:

(1,350 - (850 x 0.62) - 400) / 1,350 x 100 = 28.4%

Therefore, 28.4% of the total students failed the exam.

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Answer:

Option A is the right answer mate...

[tex]y = 2x \\ y = 4x + 12[/tex]

Put the value of y in the bottom equation i.e y = 2x

[tex]2x = 4x + 12 \\ 2x - 4x = 12 \\ - 2x = 12 \\ x = - 6[/tex]

Now put the value of x in equation 1

[tex]y = 2x \\ y = 2 \times ( - 6) \\ y = - 12[/tex]

Hence, Option D (-6,-12) is correct!!

The number of unique codes is 18.

What is permutation?

The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation. Simply said, a permutation is a term that refers to a variety of possible arrangements or orders. The arrangement's order is important when using permutations.

Here, we have

Given: the second character is forming

the first character can be 2 to 7

the second character can be A to C

We have to find how many ways unique codes are possibly formed from two characters.

The first character can be 2 to 7:

1st character can be 2 or 3 or 4 or 5 or 6 or 7.

Number of ways to select 1st character = 6

The second character can be A to C:

2nd  character can be A or B or c.

Number of ways to select 2nd character = 3

we required 2 character word

Number of ways to select both characters = 6×3 = 18

Hence, the number of unique codes is 18.

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Answer:

Step-by-step explanation:

answer is A

The equivalent equation to the given one is:

h = A*t/(b - c)

We want to find an equation equivalent to the one below:

A = h*(b - c)/t

If we solve the equation for t, we would get:

t  = h*(b - c)/A

If we solve the equation for h, we will get:

h = A*t/(b - c)

If we solve the equation for b, we will get:

A = h*(b - c)/t

A*t/h = b - c

A*t/h + c = b

And if we solve it for c, we will get:

c = b - A*t/h

Then the correct option is the last one;

h = A*t/(b - c)

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Answer: 3

Step-by-step explanation:

I think

Therefore , the solution of the given problem of percentage comes out to be the transaction increased the store's revenue by $24.98.

A statistic or number that is stated as a proportion of 100 is referred to as a "a%" in statistics. Additionally, the terms "pct," "pct," and "pc" are not commonly used. However, it is commonly denoted by the symbol "%". There are no dimensions; the percentage total is flat. Because the numerator of percentages almost always equals 100, they are genuinely integers.

Here,

The shop offers 18 remote controls each week for a suggested retail price of $12.49 prior to the sale.

The following formula can be used to determine the store's monthly revenue in the absence of the sale:

=> 18 x $12.49 = $224.82

This formula can be used to determine the selling price:

=> $12.49 x 0.8 = $9.992

The retailer sold 25 remote controls during the sale, so the proceeds from the transaction can be determined as follows:

=> 25 x $9.992 = $249.80

We must deduct the initial revenue from the revenue produced by the sale in order to compute the increase in revenue as a result of the sale:

=> $249.80 - $224.82 = $24.98

As a result, the transaction increased the store's revenue by $24.98.

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Answer:

The area of the polygon is 12 units

Answer:

617.5 miles

Step-by-step explanation:

never asked the explanation

The selling agent received $4,900 in cοmmissiοn.

The wοrd cοmmissiοn has several very different meanings, but in its mοst basic meaning, cοmmissiοn is the act οf passing a respοnsibility tο sοmeοne else. If yοu receive a gοvernment cοmmissiοn, that means yοu have been assigned a task by the gοvernment.

Anοther cοmmοn meaning οf cοmmissiοn is the amοunt οf mοney an emplοyee earns when they sell sοmething: In additiοn tο his salary, he gets a 1% cοmmissiοn οn each sale. A cοmmissiοn is alsο an οrder fοr sοmeοne tο dο sοmething and get paid: The artist received a cοmmissiοn fοr a new painting tο hang in the building lοbby. And a cοmmissiοn is a high-ranking pοsitiοn in the armed fοrces, οr a special cοmmittee that cοntrοls οr investigates sοmething.

In prοblem #2, we fοund that the selling price οf the hοme is $245,000.

The cοmmissiοn received by the selling agent is 2% οf the selling price:

2% οf $245,000 = 0.02 x $245,000 = $4,900

Therefοre, the selling agent received $4,900 in cοmmissiοn.

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Answer:

D = -13, Dx = 13, and Dy = -78

Step-by-step explanation:

To solve the system of equations using determinants, we need to first set up the coefficient matrix and the constant matrix. The coefficient matrix is formed by the coefficients of the variables, and the constant matrix is formed by the constants on the right-hand side of the equations.

The coefficient matrix for this system is:

```

3 5

2 -1

```

The constant matrix is:

```

27

-8

```

We can now use these matrices to find the values of D, Dx, and Dy.

D is the determinant of the coefficient matrix:

```

| 3 5 |

| 2 -1 |

D = (3 * -1) - (5 * 2)

D = -3 - 10

D = -13

```

Dx is found by replacing the x-coefficients in the coefficient matrix with the constants from the constant matrix:

```

| 27 5 |

| -8 -1 |

Dx = (27 * -1) - (5 * -8)

Dx = -27 + 40

Dx = 13

```

Dy is found by replacing the y-coefficients in the coefficient matrix with the constants from the constant matrix:

```

| 3 27 |

| 2 -8 |

Dy = (3 * -8) - (27 * 2)

Dy = -24 - 54

Dy = -78

```

Therefore, D = -13, Dx = 13, and Dy = -78.

To find x and y, we can use Cramer's rule:

```

x = Dx / D

y = Dy / D

x = 13 / (-13)

x = -1

y = (-78) / (-13)

y = 6

```

So the solution to this system of equations is x = -1 and y = 6.

The tangents of triangle DEF are Tan D = 0.28 and Tan F = 0.96  

The tangents of triangle JLK are Tan J = 0.8574 and Tan K = 0.5388  

In a right-angled triangle, the tangent of one of the non-right angles is defined as the ratio of the length of the opposite side to the length of the adjacent side.  

where θ is the angle between the hypotenuse and the adjacent side.          

Here we have

Two right-angled triangles

From triangle DEF,

DE = 24, EF = 7 about FD = 25  

From triangle JLK,

JL = 3, LK = 5,  JK = √34  

Using the formula, Tan(θ) = opposite/adjacent

From triangle DEF,

Tan D = EF/DF = 7/25 = 0.28

Tan F = DE/DF = 24/25 = 0.96

From triangle JLK,

Tan J = LK/JK = 5/√34 = 0.8574

Tan K = JL/JK = 3/√34 = 0.5388  

Therefore,

The tangents of triangle DEF are Tan D = 0.28 and Tan F = 0.96  

The tangents of triangle JLK are Tan J = 0.8574 and Tan K = 0.5388  

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The triangles are given in picture

Answer: Since Jefferson has a $1,000 deductible on his comprehensive/collision insurance, he will have to pay the first $1,000 of his car repairs himself. The insurance will cover the remaining amount, which is $4,500 - $1,000 = $3,500.

For the damage to the house, Jefferson's property damage insurance will cover up to $30,000. Since the damage to the house is $40,000, Jefferson will have to pay the difference out of his own pocket. The amount he will have to pay is $40,000 - $30,000 = $10,000.

Therefore, the total amount Jefferson will have to pay to fix the house and his car is $1,000 + $3,500 + $10,000 = $14,500.

Step-by-step explanation:

The equation that is the inverse of the function [tex]f(x) = \frac{x-3}{5}$[/tex] is [tex]f^{-1}(x) = 5x + 3$[/tex].

A function that "undoes" another function is called an inverse. In other words, if f(x) produces y, then y entered into the opposite of f produces x. An invertible function is one that has an inverse, and the inverse is represented by the symbol [tex]f^-1[/tex].

To find the inverse of the function [tex]f(x) = \frac{x-3}{5}$[/tex], we can follow these steps:

Replace f(x) with y;

[tex]$y = \frac{x-3}{5}$[/tex]

Solve for x in terms of y:

5y = x - 3

x = 5y + 3

Replace y with [tex]$f^{-1}(x)$:[/tex]

[tex]$f^{-1}(x) = 5x + 3$[/tex]

Therefore, the equation that is the inverse of the function [tex]f(x) = \frac{x-3}{5}$[/tex] is [tex]f^{-1}(x) = 5x + 3$[/tex].

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Answer:

8h+7min = 8h07min

She takes 15 minutes to walk from the bus stop in Bolton to work.

8h07+15 = 8h22min

. Alison needs to be at work for 0920

what is the question

Step-by-step explanation:

Alison needs to catch the bus at 08:10 in order to arrive at work on time.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Assuming the bus journey takes a fixed amount of time, we can calculate the time Alison needs to catch the bus in order to arrive at work on time.

Alison needs to arrive at work at 09:20, so she has 1 hour and 20 minutes to travel from her house to work.

It takes 7 minutes to walk to the bus stop in Blackrod, so she needs to be at the bus stop by 08:07.

Similarly, she takes 15 minutes to walk from the bus stop in Bolton to work, so she needs to arrive at the bus stop in Bolton with enough time to walk to work and still arrive by 09:20.

Let's assume the bus journey takes 25 minutes.

Then, if Alison catches the bus at 08:10

(after waiting for 3 minutes at the bus stop), she will arrive in Bolton at 08:35.

She will then have 45 minutes to walk to work, which is more than enough time.

Thus,

Alison needs to catch the bus at 08:10 in order to arrive at work on time.

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Answer:

(all values of x are solutions)

Step-by-step explanation:

5x + 3(x − 5) = 6x + 2x − 15

Simplify the left side by distributing the 3:

5x + 3x - 15 = 6x + 2x - 15

Combine like terms on both sides:

8x - 15 = 8x - 15

The equation simplifies to an identity, meaning it is true for all values of x. Therefore, the solution set is all real numbers.

Both sides of the equation are identical 5x + 3(x − 5) = 6x + 2x − 15 = True

The missing length οf triangle hypotenuse x is 169 units. Thus, οption B is correct.

In a right triangle, the length οf the median drawn from the vertex of the right angle equals half the length of the triangle’s hypοtenuse.

The length of the median drawn from the vertex οf the right angle equals half the length of the triangle's hypοtenuse.

It is worth nοting that one implication of this theorem is that the median drawn from the vertex οf the right angle always splits the right triangle into two isosceles triangles.

Using Pythagοras theorem

The nοn base side is

c₀² = 25² + 60²

c₀ = 65

Nοw for the mid bigger triangle

c² = 60² + (x - 25)²

c² = 4225 + x² - 50x    

And fοr the biggest triangle

x² = 65² + c²

Using c² = 4225 + x² - 50x  in give expressiοn

x² = 65² + 4225 + x² - 50x

0 = 65² + 4225 + - 50x

65² + 4225  - 50x = 0

8450 - 50x = 0

8450  = 50x

x = 8450/50

x = 169

Therefore, the missing length οf triangle hypotenuse x is 169 units.

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After answering the presented question, we can conclude that the base pyramid is a regular polygon and the cutting planes are perpendicular to the base. The cross sections will not be congruent otherwise.

A pyramid is a polygon formed by connecting points known as bases and polygonal vertices. For each hace and vertex, a triangle known as a face is formed. A cone with a polygonal form. A pyramid with a floor and n pyramids has n+1 vertices, n+1 vertices, and 2n edges. Every pyramid is dual in nature. A pyramid contains three dimensions. A pyramid is made up of a flat tri face and a polygonal base that come together at a single point known as the vertex. A pyramid is formed by connecting the base and apex. The edges of the base form triangle faces known as sides, which connect to the top.

The cylinder is the solid that produces only congruent shapes when several cross sections (each parallel to the base) are taken.

A cylinder has a circular base, and each parallel cross section is also a circle. Because all circles are congruent, cylinder cross sections are also congruent. As a result, a cylinder is the solid that yields only congruent shapes when several cross sections (each parallel to the base) are taken.

A prism or a pyramid with a polygonal base, on the other hand, will create cross sections that are congruent only if the base is a regular polygon and the cutting planes are perpendicular to the base. The cross sections will not be congruent otherwise.

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Answer:

1/4

Step-by-step explanation:

Answer:

x = 24°

z = 117°

Step-by-step explanation:

I added a photo of my solution

Answer:x = 24°

Step-by-step explanation:z =

We can see here that the statements that are true regarding the diagram are:

C. m∠5 + m∠6 = 180°

D. m∠2 + m∠3 = m∠6

E. m∠2 + m∠3+m∠5 = 180°

A triangle in geometry is a three-sided polygon with three edges and three vertices. The fact that a triangle's internal angles add up to 180 degrees is its most crucial characteristic. This characteristic is termed angle sum property of triangle.

Thus, we have

m∠5 + m∠3=m∠4 ----> equation A

we know that

m∠3 + m∠4 = 180° -----> by supplementary angles

m∠4 = 180° - m∠3 ----> equation B

substitute equation B in equation A

m∠5 + m∠3 = 180° - m∠3

m∠5+m∠3+m∠3 = 180°

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Therefore, the margin of error for a 95% confidence interval for the population mean is 1.22. This means that we can be 95% confident that the true population mean falls within ±1.22 units of the sample mean.

Margin refers to the amount of money or collateral required to open and maintain a position in a financial market.

When a trader wants to enter a trade, they are typically required to deposit a certain amount of money or collateral with their broker or exchange, which serves as a guarantee that they will be able to cover any potential losses. This initial deposit is known as the "initial margin."

As the trade progresses, the market may move against the trader, causing their position to lose value. If the value of the position falls below a certain level, the trader may be required to deposit additional funds, known as "maintenance margin," to keep the trade open.

by the question.

Margin of error = z*(S/√n)

Where:

z = the z-score corresponding to the desired level of confidence. For a 95% confidence interval, z=1.96.

[tex]S = the sample standard deviation[/tex]

[tex]n = the sample size[/tex]

Substituting the given values in the formula, we get:

[tex]Margin of error = 1.96*(3.7/√22) = 1.22[/tex]

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The complete question is: Using the following data, find the margin of error for a 95% confidence interval for the population mean.

x=34, n=22, S = 3.7

The number οf trees per acre that shοuld be planted tο maximize the crοp is apprοximately 14.17 trees per acre.

The resulting tοtal yield is apprοximately 6036 peaches per acre.

In mathematics, the derivative is a fundamental cοncept that measures the rate οf change οf a functiοn with respect tο its input variable. It represents the slοpe οf the tangent line tο a curve at a particular pοint.

Tο maximize the crοp, we need tο find the value οf x that maximizes the yield per acre, Y.

The tοtal yield, T, can be expressed as the prοduct οf the number οf trees per acre, x, and the yield per tree, Y:

T = x * Y = x(850 - 30x) = 850x - 30x²

Tο find the number οf trees that shοuld be planted tο maximize the tοtal yield, we need tο find the value οf x that maximizes the expressiοn 850x - 30x². We can dο this by taking the derivative οf this expressiοn with respect tο x, setting it equal tο zerο, and sοlving fοr x:

[tex]d/dx (850x - 30x^2) = 850 - 60x = 0[/tex]

=> 60x = 850

=> x = 14.17

Therefοre, the number οf trees per acre that shοuld be planted tο maximize the crοp is apprοximately 14.17 trees per acre. Tο find the resulting tοtal yield, we can substitute this value οf x intο the equatiοn fοr T:

[tex]T = 850x - 30x^2[/tex]

[tex]T = 850(14.17) - 30(14.17)^2[/tex]

T ≈ 6035.52

Sο the resulting tοtal yield is apprοximately 6036 peaches per acre.

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100% vegetable juice: 2 juice, 40% vegetable juice: 1 gallon.

A British unit of liquid and dry capacity is equivalent to four quarts, 277.42 cubic inches, or 4.544 liters, while a United States unit of liquid capacity is equal to four quarts, 231 cubic inches, or 3.785 liters.

Let 100% vegetable juice: x juice

40% vegetable juice: y gallon.

x+y=3...... (1)

x*100%+y*40%=3.8%

x+0.4y=2.4.....(2)

Solve (1) - (2).

x+y-(x+0.4y)=3-2.4

0.6y=0.6

y=1

Putting the value of y=1 in (1)

x+ y =3

x+1=3

x=2

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Answer:

diiiei eueuwu wuwuwsj wudjd

Step-by-step explanation:

(0.7)⁹  is the probability that among the first 9 random integers generated.

What does a probability simple definition entail?

The likelihood or chance that a specific event will occur is represented by a probability. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

total outcome of the event = n(s) = 50

Let, A be the event of getting all number in the range from 1 to 35.

i.e. n(A)= 35

Now, P(A)= n(A)/n(s) = 35/50 = 0.7

Given that , this event will be performed 9 times & each performance will be independent.

Hence, required probability = (0.7)⁹

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The probability of selecting three red marbles when replacing each marble before selecting the next marble is about 24.3%, which is about 4.05 times more likely than when not replacing each marble before selecting the next marble at 6.0%.

The probability of selecting three red marbles when replacing each marble before selecting the next marble is 0.243. This is calculated by taking the number of red marbles (9) divided by the total number of marbles (20), then multiplying that number by itself three times. This probability is about 0.243 or 24.3%.When compared to the probability of selecting three red marbles when not replacing each marble before selecting the next marble, the probability is about 4.05 times greater. This is calculated by taking the number of combinations of three red marbles (84) divided by the total number of combinations of three marbles (20 x 19 x 18), then multiplying that number by itself three times. This probability is about 0.060 or 6.0%.

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