Professor M breaks chalk in class. While writing on the board, the probability that Professor M breaks the piece of chalk is 1/2. a. How many pieces of chalk do you expect Professor M to break in one class? b. How many pieces of chalk do you expect Professor M to break in one quarter - 20 classes? Assume that each class is independant

Answer:y+2 = 2(x-1)

Step-by-step explanation:

First we find the slope

(1,-2) (-3,6)

rise/run

change of y/change of x

8/-4

-2

The slope is -2

point slope form is y-y1 = m(x-x1)

m is the slope, y1 is y coordinate of a point and x1 is x coordinate of same point as the y1 point.

lets use (1,-2)

y-(-2) = 2(x-1)

point slope form

y+2 = 2x-2

y = 2x-4

slope intercept form

Answer: 32

Step-by-step explanation:

The increasing subsequence of maximal length is $5,7,10,15,21$ and the decreasing subsequence of maximal length is $22,23,17$.

To find an increasing subsequence of maximal length, we can use the longest increasing subsequence algorithm. Starting with an empty sequence, we iterate through each element of the given sequence and append it to the longest increasing subsequence that ends with an element smaller than the current one.

If no such sequence exists, we start a new increasing subsequence with the current element. The resulting sequence is the increasing subsequence of maximal length.

Using this algorithm, we get the increasing subsequence $5,7,10,15,21$ of length 5.

To find a decreasing subsequence of maximal length, we can reverse the given sequence and use the longest increasing subsequence algorithm on the reversed sequence. The resulting sequence is the decreasing subsequence of maximal length.

Using this algorithm, we get the decreasing subsequence $22,23,17$ of length 3.

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a) A scatterplot of strength (y) versus diameter (x) is illustrated below.

b) The Model Equation is 30.71429X - 76.19048

c) The strength for a diameter of 5.5 mm through the equation is 92.73

d) The diameter would you predict a strength of 95kN/mm is 5.8

Spot welding is a popular method of joining metals, and it is crucial to understand the relationship between weld diameter and strength. In this scenario, we have a table that presents shear strengths (in kN/mm) and weld diameters (in mm) for a sample of spot welds. Our objective is to create a scatterplot of strength (y) versus diameter (x), report the model equation, and predict the strength for a diameter of 5.5 mm.

To create a scatterplot, we will plot the strength values on the y-axis and the diameter values on the x-axis. Each point on the graph represents a particular spot weld. We can use the scatterplot to observe the general pattern of the data, identify potential outliers, and assess the strength-diameter relationship.

After creating the scatterplot, we will fit a regression line to the data points.

Regression Equation = y = bX + a

b = SP/SSX = 21.5/0.7 = 30.71429

a = MY - bMX = 68.17 - (30.71 x 4.7) = -76.19048

y = 30.71429X - 76.19048

To predict the strength for a diameter of 5.5 mm, we will use the model equation. We will substitute the value of 5.5 for x in the equation and solve for y.

y = 30.7142(5.5) - 76.19048 = 92.73

In conclusion, understanding the relationship between weld diameter and strength is essential in spot welding. By constructing a scatterplot, reporting the model equation, and predicting strength for a specific diameter, we can gain valuable insights into the performance of spot welds.

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Complete Question:

The following Table presents shear strengths (in kN/mm) and weld diameters (in mm) for a sample of spot welds.

a. Construct a scatterplot of strength (y) versus diameter (x).

b. Report the Model Equation.

c. Predict the strength for a diameter of 5.5 mm.

Diameter                Strength

4.2                                      51

4.4                                      54

4.6                                       69

4.8                                        81

5.0                                        75

5.2                                     79

Answer:

(3,0)

Step-by-step explanation:

We will assume the question is the find a solution to the given series of equations.  A "solution" will be any common point for which both lines intersect.

The solution can be found both graphically and mathematically.  Both are used.

Graphical Solution

Both lines are plotted on a graph and the point(s) at which they intersect are solution(s).  See the attached graph.  There is only one intersection point, (3,0).  This point satisfies both equations.

Mathematical Solution  

8x+8y=24 and 4x-6y=12

Rearrange one of the equations to isolate x or y.

8x+8y=24

x+y = 3        [divide both sides by 8]

x = -y+3

Now use this definition of x in the second equation:

4x-6y=12

2x - 3y = 6  [divide both sides by 3]

2(-y+3) - 3y = 6  [substitute the x from above (x = -y+3)]

-2y + 6 -3y = 6

-5y = 0

y = 0   This is the value of y for a soultion.

Using y=0, find x:

x = -y+3

x = -(0)

x = +3   This is the x value of the solution

Solution:  (3,0).

Answer

:Identity Property of Addition

Step-by-step explanation:

Answer:

\(y=\frac{3}{10} x-\frac{16}{5}\)

Step-by-step explanation:

Equation for slope:

\(m=\frac{y_{1}- y_{2} }{x_{1}- x_{2} }\)

Substitute in your x and y values:

\(m=\frac{-2+5}{4+6} \\ m=\frac{3}{10}\)

Now write the equation:

\(y=\frac{3}{10} x\)

this is not done yet though since it does not work:

\(-2=\frac{3}{10} *4\\-2=1\frac{1}{5}\)

so we add the y- intercept \(b\) to make the equation equal:

\(-2=1\frac{1}{5}+b\)

From here we solve for \(b\):

\(b=-\frac{16}{5}\)

\(y=\frac{3}{10} x-\frac{16}{5}\)

Step-by-step explanation:

8x+12x+16x=180

36x=180

x=5

16x=5×16=90

Answer: 5 degrees

Step-by-step explanation: im just built different

Answer:

They be used in Hospitals, Stocks, and constructing houses.

Step-by-step explanation:

It’s real world!!

Answer:

Bill's. groceries stores. video games

Answer: Number 4 is the Bottom Bubble

Number 5 is the 2nd bubble

Step-by-step explanation:

0.012, 0.12, 1.2, 12

9.68, 9.7, 9.71, 9.90

Step-by-step explanation:

1 - (0.012 , 0.12 , 1.2 ,12)

2- (9.68 , 9.7 , 9.71 , 9.90)

The area of one of the bases of the hexagonal prism is approximately 7.39 units^2.

To solve this problem, we can use the formula for the volume of a hexagonal prism:

V = (3√3/2) * a^2 * h

where V is the volume, a is the length of one side of the hexagonal base, and h is the height of the prism.

We are given that the height of the prism is 4 units and the volume is 98 units^3. Plugging these values into the formula, we can solve for the length of one side of the base:

98 = (3√3/2) * a^2 * 4
a^2 = 98 / (12√3)
a ≈ 2.95

Now that we know the length of one side of the base, we can find the area of the hexagon by using the formula:

A = (3√3/2) * a^2

where A is the area of one of the bases. Plugging in the value we found for a, we get:

A = (3√3/2) * (2.95)^2
A ≈ 7.39

Therefore, the area of one of the bases of the hexagonal prism is approximately 7.39 units^2.

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Step-by-step explanation:

I hope this answer is helpful ):

Answer:

# > 1

Step-by-step explanation:

12x? > 12

/ 12.     /12.

? > 1

Any number larger than 1 makes this true.

Answer:

No

Step-by-step explanation:

If he used that method it would end up as 95

in the original equation the answer is 86.5

The smallest number of degrees we need to rotate this image to look the same is 45°. This is because the image has rotational symmetry.

In geometry, rotational symmetry, also known as radial symmetry, is the quality that a form exhibits when it looks the same after a partial turn rotation. The degree of rotational symmetry of an item is the number of possible orientations in which it appears precisely the same for each revolution.

When a form can be turned and yet seem the same, it possesses rotational symmetry.

When the triangle is rotated 360°, it never appears the same until when it returns to its original beginning point.

A shape's minimal order of rotational symmetry is 1.

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Answer:

3

Step-by-step explanation:

21/(18-9)

21/9

3

Answer:

The difference between 18 and 9

18 - 9 = 9

Divide 21 by the difference between 18 and 9

21 / (18 - 9)

21 / 9

7 / 3

Answer:

Area = 8 sq cm

Step-by-step explanation:

This shape is a parallelogram. Its like a rectangle that got tipped over. Area is:

base × height.

We don't know the base that is on the bottom of the image as it is shown. But if you turn it sideways, the 4 can be the base and the 2 is the height.

Area = b × h

= 4 × 2

= 8

The area is 8 sq cm.

(a)  The solution to the equation log(x) = 4 is x = 10,000.

(b)  The solution to the equation e^(4x+1) = e^(x-2) is x = -1.

(a) To solve the equation log(x) = 4, we can rewrite it using the logarithmic property:

x = 10^4

x = 10,000

Therefore, the solution to the equation log(x) = 4 is x = 10,000.

(b) To solve the equation e^(4x+1) = e^(x-2), we can use the property that if the bases are equal, then the exponents must be equal:

4x + 1 = x - 2

To isolate the x term, we can subtract x from both sides and subtract 1 from both sides:

4x - x = -2 - 1

3x = -3

Dividing both sides by 3:

x = -1

Therefore, the solution to the equation e^(4x+1) = e^(x-2) is x = -1.

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Answer:

962 cm²

A = 1/4πd²

   = 1/4 × π × 35²

    = 962 cm²

There are 360 ways for a four-letter words that can be formed using the letters of the word finite. So, correct option is B.

To find the number of four-letter words that can be formed using the letters of the word "finite," we can use the permutation formula, which is:

nPr = n! / (n-r)!

where n is the total number of items to choose from, and r is the number of items to choose. In this case, we have 6 letters to choose from (n=6), and we want to choose 4 letters (r=4).

Therefore, the number of four-letter words that can be formed is:

6P₄ = 6! / (6-4)!

= 6! / 2!

= (6 x 5 x 4 x 3 x 2 x 1) / (2 x 1)

= 720 / 2

= 360

Therefore, the answer is 360, which corresponds to option B.

In summary, there are 360 four-letter words that can be formed using the letters of the word "finite," by using the permutation formula to calculate the number of possible arrangements of the 6 letters taken 4 at a time.

So, correct option is B.

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Riya earns $45 in commission for selling 15 newspaper ads at $50 each.

A commission is a charge or payment given to a person or group in exchange for a good or service. When selling goods or services on behalf of a corporation, sales representatives or agents are frequently compensated with commissions in the business world. For instance, a stockbroker may receive a fee for carrying out a trade on behalf of a customer, while a real estate agent may receive a commission depending on the sale price of a property they assist in selling.

Riya receives a 6% commission for selling newspaper ads, and if she sells 15 ads for $50 each, her total earnings can be calculated as follows:

Total earnings = Total sales x Commission rate

The total sales from selling 15 ads at $50 each are:

Total sales = 15 x $50 = $750

The commission rate is 6%, which can be written as 0.06 as a decimal.

Plugging these values into the formula, we get:

Total earnings = $750 x 0.06 = $45

Therefore, Riya earns $45 in commission for selling 15 newspaper ads at $50 each.

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Answer:

X / 4 + 22

Step-by-step explanation:

22 more means we add 22. Then, we take x as our variable, in this case, it is "a number". We divide x by 4, and then we add 22. x / 4 + 22.

Step-by-step explanation:

0.200 in standard form is 2.00 * 10^(-1).

The statement 'When you try to find the most appropriate input probability distribution in a simulation model, you first have to choose the most appropriate family, and then you have to select the most appropriate member of that family' is generally true because in simulation modeling, input probability distributions are used to represent uncertain or random factors in the system being modeled.

These distributions are often classified into different families, such as normal, exponential, uniform, and so on, based on their properties and mathematical characteristics.

When selecting an appropriate distribution for a simulation model, it is important to first identify the family of distributions that best represents the underlying random process being modeled.

For example, if the data is symmetric and bell-shaped, then the normal distribution might be a suitable family to consider. However, if the data is non-negative and skewed, then the exponential or gamma distribution might be more appropriate.

Once the appropriate family of distributions is selected, the next step is to identify the most appropriate member or parameter values of that family that best fit the data being modeled.

This often involves using statistical methods to estimate the parameters of the distribution based on historical data or expert knowledge.

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The area of the parallelogram is given as follows:

421 and 7/8 ft².

The area of a parallelogram is given by the multiplication of the base of the parallelogram by the height of the parallelogram, that is:

A = bh.

The parameters for this problem are given as follows:

Hence the area is given as follows:

A = 45/2 x 75/4

A = 3375/8 ft².

A = 421 and 7/8 ft².

(3375 divided by 8 has a quotient of 7 and a remainder of 8, which is the reason for the mixed number notation).

Hence the second option is the correct option.

The parallelogram is given by the image presented at the end of the answer.

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Answer: 214 - 5d

Which of the following real-world scenarios could be represented by the algebraic expression 7.65 - 2p? Select all that apply.

Answers:

1) You buy 2 equally priced party favors, spending from your $7.65 gift card.

4) you give Tim twice the amount of face paint he had from your supply of 7.65 ounces.

You decide to order pizzas for your party. A large pizza is cut into 12 slices. If each pizza is shared evenly among G guests, which expression represents the number of slices that each guest will eat?

Answer: 12/g

(these are the rest of the answers for the rest of the 7 slides of "Writing expression" assignment on e2020

4th: $25 dollars is the constant team so the cost for h hours is 15h and the correct expression is 15h+25 and 15(h+25) would be interpreted as adding 25 hours to the number of hours rented, and then multiplying by 15.

5th: m + 2m - s

6th: No it's not true. Each table began with x/8 balloons. If two pop then you will not be able to distribute it equally among 8 tables. There are x/8 - 2 balloons left. Not all tables will be equal.

7th: n - (1/4)n - 15

8th: 12n/r

9th: (x+3)/5

10th: (3r)/2 is what the second DJ had. 3 times as many songs as 3r and half as many is translated as division to 2 so half as many is translated as multiplication by 1/2. So therefore, the second DJ had (3r)/2 songs.

Step-by-step explanation:

Answer:

214-5d

Step-by-step explanation: