People in a town have a mean hourly wage of $13.69, with a standard deviation of $4.77. The distribution of hourly wages is not assumed to be symmetric. Between what two-hourly wages does Chebyshev's Theorem guarantee that we will find at least 75% of the people?

(a) The gradient is \(\frac{40}{5}=\boxed{8}\), and represents the cost of buying one book in dollars.

(b) Draw the line through (0,0) and (20, 130).

(c) Since the gradient of the line representing company B is less (6.5 vs 8), it is better to buy books from company B because they are cheaper.

Answer:

-16, -13, -12, -9, 10, 20

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

-16, -13, -12, -9, 10, 20

Step-by-step explanation:

Answer:

so you will need the slope is 1/2 and the y intercept is -4

Step-by-step explanation:

just find the y coordinate and find where the line on the graph is located to find the intercept then the slope is just where and how much the graph moves to for example if the graph goes right 2 times it goes up once so that means that it is true

Answer:

2 parts

Step-by-step explanation:

The rectangle has a 1/2 ratio, because there are 4 parts of the circle, you will shade 2. This is because 2/4 ratio is simplified to 1/2.

A quadratic equation is a polynomial equation of degree 2, which means the highest power of the variable is 2. It is generally written in the form: ax^2 + bx + c = 0. Option (d) x = -8, x = 8 is the correct answer.

The given equation is 15x^2 - 56 = 88 - 6x^2.

We need to find the values of x that are solutions to the given equation.

Solution: We are given an equation 15x² - 56 = 88 - 6x².

Rearrange the equation to form a quadratic equation in standard form as follows: 15x² + 6x² = 88 + 56  21x² = 144  

x² = 144/21 = 48/7

Therefore x = ±sqrt(48/7) = ±(4/7)*sqrt(21).

The values of x that are solutions to the given equation are x = -4/7 sqrt(21) and x = 4/7 sqrt(21).

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The given equation is 15x² - 56 = 88 - 6x². Values of x are solutions to the equation below 15x² - 56 = 88 - 6x² are x = -2.62, 2.62 or x ≈ -2.62, 2.62.

Firstly, let's add 6x² to both sides of the equation as shown below.

15x² - 56 + 6x² = 88

15x² + 6x² - 56 = 88

Simplify as shown below.

21x² = 88 + 56

21x² = 144

Now let's divide both sides by 21 as shown below.

x² = 144/21

x² = 6.86

Now we need to solve for x.

To solve for x we need to take the square root of both sides.

Therefore, x = ±√(6.86).

Therefore, the values of x are solutions to the equation below are x = -2.62, 2.62 or x ≈ -2.62, 2.62.

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The probability that at least one customer arrives at the shop during a one-minute interval is 0.632.

Since the arrival of customers at a Starbucks shop can be modeled as a Poisson process with an average rate of 1/min, the probability of exactly k customers arriving in a one-minute interval is given by the Poisson probability mass function:

P(k arrivals) = (λ^k * e^(-λ)) / k!

where λ is the average rate of arrivals (in this case, 1/min), e is the mathematical constant e, and k! is the factorial of k.

To find the probability that at least one customer arrives during a one-minute interval, we can use the complement of the probability that zero customers arrive (i.e., the probability of at least one arrival is 1 minus the probability of zero arrivals).

Thus, the probability of at least one customer arriving during a one-minute interval is:

P(at least one arrival) = 1 - P(0 arrivals)

P(at least one arrival) = 1 - [(\(1^{0}\) * \(e^{-1}\)) / 0!] = 1 - \(e^{-1}\) = 0.632

Therefore, the probability that at least one customer arrives at the shop during a one-minute interval is 0.632.

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Special Product are the result of binomials being multiplied, or simplified further, and can be solved with ease using the First Last Inner Outer method. this product is not a special product.

Special Product (a+b) (a+b) = aa + ab + ab + bb = \(a^{2} + 2ab + b^{2}\).

we can use this formula anytime we are multiplying a binomial of the form a + b.

Factor as a Difference of Squares

factoring:  \(81a^{2} b^{4} - c^{6}\) = \((3^{4}a^{2} . b^{4}) - c^{6}\)

A difference of two perfect squares, \(A^{2} - B^{2}\) can be factored into

\((A+B)(A-B)\\A^{2} - AB + BA - B^{2}\\ A^{2} - AB + AB -B^{2}\\ A^{2} -B^{2}\)

AB = BA is he commutative property of multiplication from the expression.

-AB+BA equal zero and is therefore eliminated from the expression.

81 is the square of 9

\(a^{2}\) is the square of \(a^{1}\)

\(b^{4}\) is the square of \(b^{2}\)

\(c^{6}\) is the square of \(c^{3}\)

Factorization is \((9ab^{2}+c^{3}) . (9ab^{2}-c^{3} )\)

Factoring: \((9ab^{2}+c^{3})\)

A sum of perfect cubes, \(a^{3} + b^{3}\) can be factored into :\((a+b).(a^{2}-ab+b^{2})\\a^{3}-a^{2}b+ab^{2}-b^{2}a+b^{3}\\ a^{3}+(a^{2}b-ba^{2})+(ab^{2}-b^{2}a)+b^{3}\\ a^{3}+b^{3}\)

9 is not a cube(Binomial can not be factored as the difference of two perfect cubes)

Factoring: \((9ab^{2}-c^{3} )\)

A difference of two perfect cubes, \(a^{3} - b^{3}\) can be factored into

\((a-b).(a^{2}+ab+b^{2})\\a^{3}+a^{2}b+ab^{2}-ba^{2}-b^{2}a-b^{3}\\ a^{3}+(a^{2}b-ba^{2})+(ab^{2}-b^{2}a)-b^{3}\\ a^{3}-b^{3}\)

9 is not a cube(Binomial can not be factored as the difference of two perfect cubes)

Hence, 81a2b4 - c6 this solution deals with factoring binomials as the sum or difference of cubes.

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For the quadratic function f(x) = 3x² - 8x + 2, the x-intercepts are x1 = (4 + √10) / 3 and x2 = (4 - √10) / 3.

What is a quadratic function?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. It is also known as the polynomial of degree 2 since the greatest degree term in a quadratic function is of second degree.

The given quadratic function is - f(x) = 3x² - 8x + 2.

The quadratic function is in the standard form ax² + bx + c = 0.

Here, a = 3, b = -8 and c = 2.

The x-intercepts can be found using the formula -

x1 = (-b + √Δ) / (2a)

x2 = (- b - √Δ) / (2a)

Here, Δ = b² - 4ac.

Substitute the values in the above equation -

Δ = b² - 4ac

Δ = (-8)² - 4(3)(2)

Δ = 64 - 24

Δ = 40

Now, substitute the value of Δ in the x-intercepts formula -

x1 = [-(-8) + √40) / [2(3)]                x2 = [-(-8) - √40) / [2(3)]

Open the brackets and use arithmetic operation of multiplication -

x1 = (8 + √40) / 6                          x2 = (8 - √40) / 6

Take out the common value -

x1 = (8 + 4√10) / 6                         x2 = (8 - 4√10) / 6

Use arithmetic operation of division -

x1 = (4 + √10) / 3                           x2 = (4 - √10) / 3    

Therefore, the x-intercepts are x1 = (4 + √10) / 3 and x2 = (4 - √10) / 3.

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Answer:

Median: 75

Mode: 50

Mean: ≈ 75.4

Range: 50

Step-by-step explanation:

Arrange the numbers in order:

50, 50, 70, 80, 88, 90, 100

There is no exact middle number.

\(70 + 80 = 150\\150/2 = 75\)

The median is about 75.

50, 50, 70, 80, 88, 90, 100

"50" appears the most.

The mode is 50.

Add all numbers in the set.

\(100+88+50+50+90+70+80 = 528\)

Divide by the number of values in the set.

\(528/7 = 75.4285714286\)

75.4285714286 ≈ 75.4

The mean is about 75.4.

Subtract the smallest number in the data set from the largest number in the data set.

\(100-50=50\)

The range is 50.

Brainilest appreciated.

Answer: 3x-3

Step-by-step explanation:

Answer:

y=mx+b

Step-by-step explanation:

follow this equation

The value of a/b is  \(\sqrt{6}\) / 2

The area of mathematics known as mensuration is concerned with measuring geometric shapes and their various characteristics, such as length, volume, shape, surface area, lateral surface area, etc. In fundamental mathematics, learn about mensuration.

Measurement of agricultural fields, floor areas required for purchase/selling transactions. Measurement of volumes required for packaging milk, liquids, solid edible food items. Measurements of surface areas required for estimation of painting houses, buildings, etc.

According to the question:-

Side of an equilateral triangle equals a/3.

Therefore, the equilateral triangle's area is equal to (1/2)(a/3)2 sqrt (3) / 2 = a2 [sqrt (3)/ 36].

Hexagonal side equals b / 6.

The area is thus 6 (1/2) (b/6)^2 sqrt (3) / 2 

= b^2 [ 3 sqrt (3) / 72] = b^2 [sqrt (3) / 24]

So

sqrt (3) / 36 a2 = sqrt (3) / 24 b2

So

A2 / B2 = [Sqrt(3)/24] / [Sqrt(3)/36]

a^2 / b^2 = [ 36 / 24 ]

a^2/ b^2 = 3/2

A/ B = Sqrt(3) / Sqrt(2)

=Sqrt(6) / 2

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Answer:

Step-by-step explanation:

7. 2/5

8. 3/5

9. 2/5

10. 2/5

Answer:

Number 7: 2/5 chance or 40%

Number 8: 4/5 or 80% chance

Number 9: 2/5 chance

Number 10: 2/5 chance

Step-by-step explanation:

For each one, you put the total number of polygons at the bottom of the fraction or the denominator and the number of how many of them answer the question as the numerator.

Answer:

So you can convert e.g. 1 cup of rice or rice flour into grams or ounces etc. easily. Other even more exotic rice varieties converters menu page. You may enter whole numbers, decimals or fractions

Step-by-step explanation:

Social scientists gather data from samples instead of populations because c. populations are often too large to test.

Social scientists often cannot test an entire population due to its size, so they gather data from a smaller group or sample that is representative of the larger population. This allows them to make inferences about the larger population based on the data collected from the sample. The sample size must be large enough to accurately represent the population, but it is not necessarily larger or more complete than the population itself. Trustworthiness, meaning, and interest are subjective and do not necessarily determine why social scientists choose to gather data from samples.

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When given the value of 5/4 hours then in minutes this is equal to 75 minutes.

In every hour, there are 60 minutes. If you want to covert hours to minutes therefore, you multiply the number of hours by 60 minutes.

When given the number of hours as 5/4 hours, in minutes this becomes:

= Number of hours x 60 minutes per hour

= 5/4 x 60 minutes per hour

= 300 / 4 minutes

= 75 minutes

In conclusion, the number of minutes in 5/4 hours is equal to 75 minutes.

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The given quadratic equation is 5x^2 - 2x - 9 = 0.1. Quadratic Equation: 5x^2 - 2x - 9 = 02. Information for the final product:

a. Direction of Parabola Section:

The direction of the parabola can be determined by looking at the coefficient of the x^2 term (a). In this case, a = 5. Since a is positive, the parabola opens upwards.

b. Vertex:

To find the vertex of the parabola, we can use the formula x = -b/2a. Substituting the values, we have x = -(-2)/(2*5) = 2/10 = 1/5. To find the y-coordinate of the vertex, we substitute x = 1/5 into the quadratic equation: 5(1/5)^2 - 2(1/5) - 9 = 1/5 - 2/5 - 9 = -18/5. Therefore, the vertex of the parabola is (1/5, -18/5).

c. Axis of Symmetry:

The axis of symmetry is a vertical line passing through the vertex of the parabola. In this case, the axis of symmetry is x = 1/5.

d. Roots or Solutions:

To find the roots of the quadratic equation, we can use the quadratic formula: x = (-b ± √(b^2 - 4ac))/(2a). Substituting the values, we have x = (2 ± √((-2)^2 - 4(5)(-9)))/(2(5)) = (2 ± √(4 + 180))/10 = (2 ± √184)/10. Therefore, the roots of the quadratic equation are (2 + √184)/10 and (2 - √184)/10.

e. Graph:

By plotting the vertex, the axis of symmetry, and the roots on a graph, we can visualize the shape and position of the parabola. The graph will show a symmetric U-shaped curve that opens upwards.

Please note that the y-coordinate of the vertex and other specific points on the parabola have not been provided in the given quadratic equation.

Based off of this quadratic equation can you help me answer question E through H. please print or type. 5x^2-2x-9=0Creating your digital product 1. Present your quadratic equation first. 2. You need the following information in your final product: a. Direction of Parabola Section: You need a statement that reads,

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The polynomial 2x^3 - 5x^2 + 6x - 15 can be factored as (2x - 5)(x^2 + 3) using factorization by grouping and factoring out the common binomial factor. The correct answer is option B).

To factor the given polynomial, we can use several methods, but one common way is to use factorization by grouping. Here are the steps

Group the first two terms and the last two terms

2x^3 - 5x^2 + 6x - 15 = (2x^3 - 5x^2) + (6x - 15)

Factor out the greatest common factor from each group

(2x^3 - 5x^2) + (6x - 15) = x^2(2x - 5) + 3(2x - 5)

Factor out the common binomial factor (2x - 5)

x^2(2x - 5) + 3(2x - 5) = (2x - 5)(x^2 + 3)

Therefore, the polynomial 2x^3 - 5x^2 + 6x - 15 can be factored as (2x - 5)(x^2 + 3).

Option B is the answer.

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Answer:

its b

Step-by-step explanation:

The marked angles in Fig. 13.25 are 96 degrees and 72 degrees.

In Fig. 13.25, we have two parallel lines AB and CD. We also have a transversal XY that intersects these two parallel lines. We need to find the marked angles, which are 4x and 3x.

Step 1: Identify the pairs of corresponding angles.

The corresponding angles are the ones that are on the same side of the transversal and in the same position with respect to the parallel lines.

The corresponding angles are equal. For example, angle AXY and angle CYX are corresponding angles and are equal. Similarly, angle BYX and angle DXY are corresponding angles and are equal. We can write the corresponding angles as follows: Angle AXY = angle CYXAngle BYX = angle DXYStep 2:Identify the pairs of alternate interior angles.

The alternate interior angles are the ones that are on opposite sides of the transversal and in the same position with respect to the parallel lines.

The alternate interior angles are equal. For example, angle BXY and angle CXD are alternate interior angles and are equal. Similarly, angle AYX and angle DYC are alternate interior angles and are equal. We can write the alternate interior angles as follows:

Angle BXY = angle CXDAngle AYX = angle DYCStep 3:Identify the pair of interior angles on the same side of the transversal. The interior angles on the same side of the transversal are supplementary. That is, their sum is 180 degrees.

For example, angle AXY and angle BYX are interior angles on the same side of the transversal, and their sum is 180 degrees. We can write this as follows: Angle AXY + angle BYX = 180Step 4:Use the relationships we have identified to solve for x.

We can start by using the relationship between angle BXY and angle CXD, which are alternate interior angles. We have angle BXY = angle CXD4x = 3x + 10x = 10Next, we can use the relationship between angle AXY and angle BYX, which are interior angles on the same side of the transversal.

We have:angle AXY + angle BYX = 180(3x + 10) + 4x = 1807x + 10 = 1807x = 170x = 24Finally, we can substitute x = 24 into the expressions for 4x and 3x to find the marked angles. We have:4x = 4(24) = 963x = 3(24) = 72Therefore, the marked angles in Fig. 13.25 are 96 degrees and 72 degrees.

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The data can be tallied into a frequency distribution using a class interval of 100 and a starting point of 0.

To create a frequency distribution, we group the data into intervals or classes and count the number of data points falling within each interval. The class interval represents the range of values covered by each class, and the starting point determines the first interval.

Here is an example of how the data can be tallied into a frequency distribution using a class interval of 100 and a starting point of 0:

```

Class Interval    Frequency

0 - 99            12

100 - 199         18

200 - 299         24

300 - 399         15

400 - 499         10

500 - 599         8

600 - 699         5

700 - 799         3

800 - 899         2

900 - 999         1

```

In this frequency distribution, the data is divided into classes based on the class interval of 100. The first class, from 0 to 99, has a frequency of 12, indicating that there are 12 data points falling within that range. The process is repeated for each subsequent class interval, resulting in a frequency distribution table.

By organizing the data into a frequency distribution, we gain insights into the distribution and patterns within the dataset. It provides a summarized view of the data, allowing us to identify the most common or frequent values and analyze the overall distribution.

In summary, the data has been tallied into a frequency distribution using a class interval of 100 and a starting point of 0. The frequency distribution table presents the number of data points falling within each class interval, enabling a better understanding of the distribution of the data.

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Answer:

I think I had a 6 streak going on but I blew it yesterday

Step-by-step explanation:

Answer:

My answer streak is 20. Sorry I’m new

Since Angle XYZ equals 70 degrees, thus the sum of the Angle XYW and Angle WYZ equal 70 degrees

      Angle XYW + Ange WYZ = 70

         50 + (3x + 14) = 70

            3x + 14 = 20

              3x = 6

                 x = 2

Hope that helps!

Answer:

x = 2

Step-by-step explanation:

m<XYZ  = 70 and

m<XYZ = m<XYW + m<WYZ

So we can conclude 50 + 3x + 14 = 70 add like terms

64 + 3x = 70 subtract 64 from both sides

3x = 6 divide both sides by 3

x = 2

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 2662\\ P=\textit{original amount deposited}\dotfill &\$1000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &t \end{cases}\)

\(2662 = 1000\left(1+\frac{0.09}{4}\right)^{4\cdot t} \implies \cfrac{2662}{1000}=1.0225^{4t}\implies \cfrac{1331}{500}=1.0225^{4t} \\\\\\ \log\left(\cfrac{1331}{500} \right)=\log\left( 1.0225^{4t} \right)\implies \log\left(\cfrac{1331}{500} \right)=t\log\left( 1.0225^{4} \right) \\\\\\ \cfrac{ ~~ \log\left(\frac{1331}{500} \right) ~~ }{\log( 1.0225^{4})}\implies 11\approx t\)

The expected number of flips from that point until the number of heads flipped in total equals the number of tails is 2

The given parameters are:

P(Head) = 70%

The expected number of flipping a head is:

E(x) = 70% * x

The expected number of flipping a tail is:

E(x) = (1 - 70%) * x + 1

Where 1 represents the first flip

When both values are equal, we have:

70% * x = (1 - 70%) * x + 1

Evaluate

0.7x = 0.3x + 1

Evaluate the like terms

0.4x = 1

Divide both sides by 0.4

x = 2.5

Remove the decimal

x = 2

Hence, the expected number of flips from that point until the number of heads flipped in total equals the number of tails is 2

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Answer:

CMB=50 ACM=75 ABC=125

Step-by-step explanation:

I know it’s too late for your principal test but i need my points.

Answer:

162

Step-by-step explanation:

5x4.5x7.2

On average, Peter owes $127.50 on his credit card each day. His credit card has an annual interest rate of 14.99%. His finance charge for the month is $1.59.

Simple interest is calculated using the following formula: Simple Interest (SI) is calculated as P R T / 100. P stands for the principal sum, R for the interest rate, and T for the interest period. The total amount due is the sum of the principal plus the simple interest, or P + SI.

Most frequently, interest is shown as a yearly percentage of the loan amount. The interest rate on the loan is this particular percentage. For instance, if you put money in a high-yield savings account, a bank will provide you interest.

Simple (regular) interest, accumulated interest, and compound interest are the three different types of interest.

Average daily balance times  x monthly interest = the monthly finance fee.

14.99% / 12 = 1.249% per month for interest

1.249% x $127.50 = $1.59

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5x + 2y = 2120

x + y = 574

2y = 2120 - 5x

2y = 1148 - 2x

1148 - 2x = 2120 - 5x

-972 = -3x

x = 324

574 - 324 = y

y = 250

324 adult tickets sold, 250 student tickets sold

There is a 20.7% chance that exactly two emails will successfully go through.

a. The probability that all three emails go through is the product of the individual probabilities of each email going through:

P(all three go through) = 0.925^3 = 0.779

Therefore, there is a 77.9% chance that all three emails will successfully go through.

b. The probability that the emails to the bank and magazine go through but not the one to your professor is the product of the probability that the bank and magazine emails go through and the probability that the email to your professor does not go through:

P(bank and magazine go through, professor does not) = 0.925^2 x (1 - 0.925) = 0.069

Therefore, there is a 6.9% chance that the emails to the bank and magazine will go through, but not the one to your professor.

c. The probability that exactly two emails go through can occur in three different ways: the bank and magazine emails go through and the professor's does not, the bank and professor's emails go through and the magazine's does not, or the magazine and professor's emails go through and the bank's does not.

The probability of each of these events happening can be calculated as follows:

P(bank and magazine go through, professor does not) = 0.925^2 x (1 - 0.925) = 0.069

P(bank and professor go through, magazine does not) = 0.925^2 x (1 - 0.925) = 0.069

P(magazine and professor go through, bank does not) = 0.925^2 x (1 - 0.925) = 0.069

Therefore, the total probability that exactly two emails go through is the sum of these probabilities:

P(exactly two go through) = 0.069 + 0.069 + 0.069 = 0.207

Therefore, there is a 20.7% chance that exactly two emails will successfully go through.

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