10. In a warehouse, the workers sometimes slide boxes along the floor to move them. Two boxes
were sliding toward each other and crashed. The crash caused both boxes to change speed. Based
on the information in the diagram, which statement is correct? In your answer, explain what the
forces were like and why the boxes changed speed (5pts)
Box 1 has more mass than Box 2.
Box 1 and Box 2 are the same mass.
Box 1 has less mass than Box 2.

Answer:

x = 138°

Step-by-step explanation:

This is a hexagon since it has 6 angles.

The sum of interior angles for a hexagon is equal to 720° so to find the value of x we need to find the sum of given angles and subtract from 720:

86 + 145 + 120 + 119 + 112 + x = 720 add given angles

582 + x = 720 subtract 582 from both sides

x = 138°

If the scale factor of figure A to figure B is 3:8, the value of x is 9.

We are given Figure A and Figure B, along with their respective scale factors. To solve the problem, we must utilize the proportion rule. The ratio of the two figures is 3:8, so we can write the equation for proportion as follows -

3/8 = x/24

Applying the cross-multiplication rule, we get,

3 * 24 = 8 * x

Further solving for the value of x, we get,

x = (3 * 24) / 8

x = 9

Hence, the value of x is 9.

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The complete question is -

If the scale factor of figure A to figure B is 3:8 find the value of x.

All the given sets are set identities.

A set identity is an equality between two set expressions that are true for all the values of variables present in the sets. A few set identities have been given below:

(A∩B)∩(A∩B)=A

( A ∩ B ) ∩ ( A ∩ B ) = A

A∩B is the intersection of the set A and B.

Here, the intersection of set A∩B with itself is set A.

This is a set identity.

P(A×B)=P(A)×P(B)

P(A × B) = P(A) × P(B)

The cardinality of the Cartesian product of A and B is the same as the product of the cardinality of set A and B.

This is a set identity.

(A∩B)∪A=A

A union A∩B is equal to A.

This is a set identity.

(A∩B)∪(A∩B¯)=A( A ∩ B ) ∪ ( A ∩ B ¯ ) = A

The union of A∩B and the complement of A∩B is A.

This is a set identity.

(A∩B)∪(C∩A)=A∩(B∪C)( A ∩ B ) ∪ ( C ∩ A ) = A ∩ ( B ∪ C )

The union of A∩B and C∩A is equal to A∩(B∪C). T

his is a set identity.

A∪A¯=ϕA ∪ A ¯ = ϕ

The union of A and the complement of A is the null set.

This is a set identity.

(A∪B)∪A=A( A ∪ B ) ∪ A = AA union B union A is equal to A.

This is a set identity.

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why post if I'm supposed to ignore LOL

The length of the shorter piece of pipe is 47 inches.

A 235-inch pipe is cut into two pieces.  One piece is four times the length of the other.

The length of the shorter piece can be found as follows:

let the length of the shorter piece be x.

Therefore,

length of the longer piece = 4x

Hence,

4x + x = 235

5x = 235

divide both sides of the equation by 5

5x / 5 = 235 / 5

x = 235 / 5

x = 47

Therefore,

length of the shorter piece = 47 inches.

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The probability distribution used to model a random variable x that equals the number of events that occur within an interval or area of opportunity is the Poisson distribution. This is used to model a random variable representing the number of events occurring within a fixed interval or area of opportunity, given an average rate of occurrence.

The Poisson distribution is a discrete probability distribution that describes the probability of a given number of events occurring in a fixed interval of time or space, given the average rate at which events occur and the assumption that the events are independent of each other. It is commonly used in fields such as biology, physics, and engineering to model occurrences of rare events such as accidents, defects, or rare diseases.

The Poisson distribution has a single parameter λ, which represents the average rate of events occurring in the interval or area of opportunity. The probability of observing exactly k events in this interval is given by the Poisson probability mass function:

P(X=k) = (e^-λ * λ^k) / k!

where X is the random variable representing the number of events, e is the mathematical constant approximately equal to 2.71828, and k! is the factorial of k.

The Poisson distribution is similar to the binomial distribution but is used when the number of trials is very large and the probability of success is very small. In this case, the binomial distribution becomes impractical to use, and the Poisson distribution is a more appropriate model.

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Answer:

1368 inches ^3

Step-by-step explanation:

Note that the proof that ΔABC ≅ ΔEDC is given as follows:

According to the ASA rule, if any two angles and sides included between the angles of one triangle are comparable to the corresponding two angles and sides included between the angles of the second triangle, the two triangles are said to be congruent.

Thus, given the above statements, it is clear that ΔABC ≅ ΔEDC

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Full Question:

Angle BAC is congruent to Angle DEC: Given

C is the midpoint of AE: Given

Prove triangle ABC is congruent to triangle EDC

What are the statements and reasons for this proof?

There are 600 students including the seventh and eighth graders at the party.

This problem uses the concept of percentages to define the conditions that are laid in front of us.

Let the original  number of students be S , and the number of seventh graders be   = 0.60S

We know that percent is used to convey the mathematical term of a fraction multiplied by 100.

Total students  after 20 eighth graders arrive = S + 20

And we have that

Number of seventh graders / total number of students  =  58%

.60S  / [ S + 20 ]  =   .58    we multiply both sides by  S +  20

0.60S  =0 .58 [ S + 20]

.60S  = .58S + 11.6   we subtract  0.58S from  both the sides

0.02S = 11.6  we divide both the sides  by .02

S  = 11/6 / 0.02 =    580

So the total number of students = 580 + 20  = 600 .

Hence there are 600 students at the party at that time.

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Answer:

y=45x+200

Step-by-step explanation:

he is paying 45 dollars an hour plus the 200 dollar flat fee

Answer:

Let the cost of each bag of potatoes be x.

Then, the total cost of 4 bags of potatoes would be 4x.

According to the problem, Serenity pays a total of $31.69.

This can be written as:

4x + 4.09 = 31.69

Subtracting 4.09 from both sides, we get:

4x = 27.60

Dividing both sides by 4, we get:

x = 6.90

Therefore, each bag of potatoes costs $6.90.

Step-by-step explanation:

The answer is yes, (x + 6) is a possible length of a rectangle with area x² + x − 30.

To determine whether (x + 6) is a possible length of a rectangle with area x^² + x − 30, we can use an area model to visualize the situation.

First, we need to find the width of the rectangle.

The area of a rectangle is given by the formula A = lw,

where A is the area, l is the length, and w is the width.

We are given that the area is x² + x − 30, so we can set this equal to lw and solve for w:

x² + x − 30 = (x + 6)w

w = (x² + x − 30)/(x + 6)

The length of a rectangle must be greater than or equal to its width, so we need to check whether (x + 6) is greater than or equal to (x² + x − 30)/(x + 6). This simplifies to:

(x + 6) ≥ x² + x − 30

Expanding the left side and simplifying, we get:

x² + 12x + 36 ≥ x² + x − 30

11x ≥ -66

x ≥ -6

Since x must be a positive number (since we are dealing with lengths), we can conclude that (x + 6) is the possible length of the rectangle. Therefore, the answer is yes, (x + 6) is a possible length of a rectangle with an area x² + x − 30.

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Answer:

People live in the U.S. = 320000000

Step-by-step explanation:

Below is the calculation of a number of people who live in the United States.

Since it is given that the population of the U.S is 10 times larger than Canada's population. So, multiply the Canadas population by 10 in order to get the U.S. population.

Canada population = 32 million or 32000000

Thus the U.S. population = 32000000 x 10 = 320000000

Answer:

22,490

Step-by-step explanation:

To calculate the difference you have to subtract so,

22,834 - 344 = 22,490

22,490 will be your answer.

Have a great day!

Answer- 44.60

Step-by-step explanation:

The given statement describes descriptive statistics.

Therefore, the given statement describes descriptive statistics.

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Answer:

Step-by-step explanation:

P = efe =4.8

f =0.26

substitute the value of P and f into the equation to obtain the value of e

4.8 = e*0.26*e

4.8 = 0.26*e^2

make e^2 the subject of the formula

e^2 =4.8/0.26 =18.62

find the square root of e

e =\(\sqrt{x} 18.46\\\)

e = 4.3

Lower bound of P = 4.8 - 4.79 = 0.01

An inequality that could represent the possible values for the number of tacos sold, t, and the number of burritos sold, b, that would satisfy the constraint is t+b ≤ 87.

In the given question,

Anthony owns a food truck that sells tacos and burritos.

He only has enough ingredients to make 85 tacos or burritos.

We have to write an inequality that could represent the possible values for the number of tacos sold, t, and the number of burritos sold, b, that would satisfy the constraint.

Tacos sold is taken as: t

Burritos Sold are taken as: b

He only has enough ingredients to make 87 tacos or burritos ,

So the Inequality satisfying both the conditions is t+b ≤ 87.

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A company is planning to introduce a new machine. The new machine will produce a rate of annual savings (in dollars) given by the function S'(x) and will produce a rate of annual costs (in dollars) given by the function C'(x).Where S'(x) = 82 - x² and C'(x) = x² + x.

Let's compute the cost and revenue functions for x years of operation for the machine. We'll start with the cost function C(x). We know that the annual cost function, C'(x) = x² + x. We can integrate the function to get the cost function as:

C(x) = ∫(x² + x)dx = (x³/3) + (x²/2) + C1.

We can assume that the constant of integration is 0 as there are no initial costs. Thus the cost function can be written as:

C(x) = (x³/3) + (x²/2)

The revenue function R(x) is the annual savings that the company makes. Thus,

R(x) = ∫S'(x) dx.R(x) = ∫(82 - x²)dx = 82x - (x³/3) + C2

We can assume that the constant of integration is 0 as there are no initial revenue. Thus, the revenue function can be written as:R(x) = 82x - (x³/3)The profit function P(x) is given by the difference between revenue function and the cost function. Thus,

P(x) = R(x) - C(x)P(x)

= (82x - (x³/3)) - ((x³/3) + (x²/2))P(x)

= 82x - (2/3)x³ - (1/2)x²

The profit function is used to determine the maximum profit. Let's differentiate the profit function and equate it to zero. P'(x) = 82 - 2x² - x = 0

Solving for x, we get, x = -8.26, 4.31

Thus, the maximum profit occurs at x = 4.31. Let's compute the maximum profit: P(4.31) = 308.56.The company will be able to achieve a maximum profit of $308.56 after 4 years of operation of the machine.

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When a company claims that its email filter is 95% accurate, it means that the filter correctly classifies 95% of the incoming emails as either spam or non-spam.

The claim of 95% accuracy means that out of all the emails the filter processes, it correctly classifies 95% of them as either spam or non-spam. This indicates that the filter has a relatively high rate of correctly identifying emails.

However, it is important to note that accuracy alone does not give a complete picture of the filter's performance. The filter may still make errors in classification, such as false positives (incorrectly classifying legitimate emails as spam) or false negatives (failing to identify spam emails).

These errors can have significant consequences, especially if important emails are mistakenly marked as spam or if spam messages go undetected.

Therefore, while accuracy is a useful metric to evaluate an email filter's performance, it is essential to consider other factors such as false positive and false negative rates, precision, recall, and overall user satisfaction to assess the effectiveness and reliability of the filter in combating spam emails.

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Your average speed for the given scenario is 9 meters per second.

To determine the average speed, we need to calculate the total distance traveled and divide it by the total time taken. Let's break down the given information into two segments:

Segment 1: In the first 2 seconds, you traveled 11 meters.

Segment 2: In the next 1 second, you traveled an additional 16 meters.

The total distance covered is the sum of distances in both segments:

Total distance = Distance in Segment 1 + Distance in Segment 2

= 11 meters + 16 meters

= 27 meters

The total time taken is the sum of the times in both segments:

Total time = Time in Segment 1 + Time in Segment 2

= 2 seconds + 1 second

= 3 seconds

Now, we can calculate the average speed:

Average speed = Total distance / Total time

= 27 meters / 3 seconds

= 9 meters per second

Therefore, your average speed for the given scenario is 9 meters per second.

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Answer:

12

Step-by-step explanation:

The surface area of a cylinder with a base diameter of 4 yd and a height of 9 yd is 113.04 yd².

A cylinder is a three-dimensional solid object with two bases that are identically circular and are connected by a curving surface that is located at a specific height from the center.

Examples of cylinders are toilet paper rolls and cold beverage cans.

The volume of a cylinder is πr²h.

Curved surface area = 2πrh.

Total surface area = 2πr(h + r).

We know, The surface area of a cylinder is 2πrh, where 'h' is the height and 'r' is the diameter.

So, The radius is = (4/2) = 2 yd.

Therefore, The surface area of the cylinder is.

= 2π×2×9 yd².

= 36π yd².

= 113.04 yd².

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Total stockholders’ equity 7,800,000

Statement of stockholders’ equity for CC for the year ended December 31, 2012:Particulars Amount ($)
Common Stock 100,000

Additional Paid-in Capital 4,100,000
Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000

Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
Total stockholders’ equity 7,800,000

Explanation:The given information is as follows:Common Stock on January 1, 2012 = $100,000Additional Paid-in Capital on January 1, 2012 = $4,100,000

Retained Earnings on January 1, 2012 = $3,000,000Net Income for the year ended December 31, 2012 = $800,000Cash Dividend Declared on July 1 and paid on July 31 = $200,000

To prepare the statement of stockholders’ equity for the year ended December 31, 2012, we will begin by preparing the opening balances of each of the equity accounts. We will then add the net income to the retained earnings account.

The closing balance for retained earnings is then computed by subtracting the cash dividend declared and paid from the total retained earnings. Finally, the total stockholders' equity is calculated by adding the balances of all the equity accounts.

Calculations:Opening balance of common stock = $100,000

Opening balance of additional paid-in capital = $4,100,000

Opening balance of retained earnings = $3,000,000

Net Income for the year ended December 31, 2012 = $800,000

Retained earnings (Opening Balance) = $3,000,000

Add: Net Income for the year ended December 31, 2012 = $800,000

Total retained earnings = $3,800,000Less: Cash Dividend Declared on July 1 and paid on July 31 = $200,000Retained earnings (Closing balance) = $3,600,000

Total stockholders’ equity = Common Stock + Additional Paid-in Capital + Retained Earnings (Closing balance) = $100,000 + $4,100,000 + $3,600,000 = $7,800,000

Therefore, the statement of stockholders’ equity for CC for the year ended December 31, 2012, is as follows:Particulars Amount ($)
Common Stock 100,000
Additional Paid-in Capital 4,100,000

Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000

Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
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The probability that Jake will earn at least 30 points on a throw is 0.335

The attached image represents the missing part of the question.

From the attached image, we can see that:

For Jake to earn at least point, he must hit the three circles (starting from the inner circle)

The radius of the yellow circle is:

Radius = 3

While the width of the other circles is:

Width = 4

The total area of the sections that give a point of at least 30 is:

A₁ = π * (3 + 4 + 4)² = 121π

The total area of all the sections is:

A₂ = π * (3 + 4 + 4 + 4 + 4)² = 361π

The probability of getting at least 30 points is:

P(At least 30) = 121π/361π

Evaluate

P(At least 30) = 0.335

Hence, the probability that Jake will earn at least 30 points on a throw is 0.335

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Answer:

d

Step-by-step explanation:

if you line e by 5 then it would be x + y = 8  they would be the same line meaning infinite solutions

Answer:

D

Step-by-step explanation:

Data analysts use one-sample hypothesis tests to manage random sampling error. The correct answer is (b).

Data analysts use one-sample hypothesis tests to manage random sampling error. Random sampling error refers to the variability or differences that can occur between a sample and the population it represents.

By conducting hypothesis tests, analysts can determine if the observed data from a sample is statistically significant and can be generalized to the larger population.

Hypothesis tests help analysts assess whether an observed effect or relationship in the sample is likely to be a true effect or relationship in the population or if it is simply due to random chance.

By testing a hypothesis and comparing the sample data to a null hypothesis, analysts can evaluate the validity of their findings and make informed decisions based on the results.

The purpose of hypothesis tests is not to frustrate students, justify their jobs, or make bad decisions. Instead, they serve as a statistical tool to manage random sampling error and provide reliable and valid conclusions based on data analysis.

The correct answer is (b)

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Answer:

\(Dom= R-\{-4\}\)

\(Range = R- \{0\}\)

Step-by-step explanation:

Answer:2

Step-by-step explanation:

The percentage of items that will weigh at least 11.7 ounces is 3.22%.

The weight of items produced by a machine is normally distributed with a mean (μ) of 8 ounces and a standard deviation (σ) of 2 ounces. We need to determine the percentage of items that will weigh at least 11.7 ounces using this information. The given information is as follows:

Mean (μ) = 8 ounces

Standard deviation (σ) = 2 ounces

Let X be the weight of the item produced by the machine.

Then the random variable X ~ N(8, 2²) = N(8, 4)

We need to find the percentage of items that will weigh at least 11.7 ounces. That isP(X ≥ 11.7)

We can calculate it as follows:

z = (11.7 - μ) / σ = (11.7 - 8) / 2 = 1.85

P(X ≥ 11.7) = P(Z ≥ 1.85)

We can look up this probability in the standard normal distribution table or use a calculator.

Using the standard normal distribution table, we can find that the probability of a Z-value being greater than or equal to 1.85 is approximately 0.0322.

Therefore, the percentage of items that will weigh at least 11.7 ounces is:

P(X ≥ 11.7) = P(Z ≥ 1.85) ≈ 0.0322 ≈ 3.22%

Therefore, the answer is 3.22%.

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