Keith buy 3 yard of material to make a blanket. He trim off a total of 1/6 yard before he begin ewing. How much material remain for the blanket?

Answer:

Step-by-step explanation:

Are the volumes equal?      No, so throw out the first and the last one.

Is the volume of the pyramid greater than the volume of prism?  

                                            No, so throw out the third one

so by inspection it must be the remaining one

or mathematically

    vol pyramid = (1/3)(base)(height)

    vol prism     =  (base)(height)

              vol pyramid   /   vol prism      

           (1/3)(base)(height) / (base)(height)   = 1/3

The volume of a stack of 9 books is 1368.75 cubic inches.

To find the volume of a stack of 9 books, we first need to find the height of the stack. Since each book is 3/4 inch thick, the height of the stack is 9 times 3/4 inch, which is 6 3/4 inches.

Now we need to find the area of the base of the rectangular prism formed by the stack of books. Since each book has an area of 22 1/2 square inches, the total area of the base of the stack is 9 times 22 1/2 square inches, which is 202 1/2 square inches.

Therefore, the volume of the stack of 9 books is:

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Answer:

\(3(x - 7)(x+7)\)

Step-by-step explanation:

To factor this, you must first take out the GCF (Greatest Common Factor), that \(3x^2\) and -147 both have. The terms only have 3 in common, which can be divided with

\(3x^2 - 147\\3(x^2 - 49)\)

However, we're still not done since 49 is a perfect square and \((x^2 - 49)\) can be split into 2, like so:

\(3(x - 7)(x+7)\)

If you're unsure about the final answer, you can multiply it all together to see if you got the original expression.

Answer:

Step-by-step explanation:

The required inequality x + m ≤ 510, and the distance is 316 miles.

Inequity occurs when two phrases are joined by a sign such as "not equal to," "more than," or "less than." The inequality illustrates the larger than and less than the relationship between variables and numbers.

Given that Mr. Estrada's car can only drive 510 miles on a full tank of petrol. He drove the car 194 miles after filling up the tank with gasoline.

Let,

x miles = distance already traveled

m miles = distance miles can travel with remaining gas

510 = max. miles can travel on a full tank

As per the given question,

The inequality will be written as,

x + m ≤ 510

194 + m ≤ 510

m ≤ 510 - 194

Apply the subtraction operation, and we get

m ≤ 316

Therefore, the required inequality x + m ≤ 510, and the distance is 316 miles.

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The true statements are:

The area under the curve to the left of the pth percentile is equal to p

The area under the curve to the right of the pth percentile is equal to (1-P)

For the first set of statements regarding the standard normal distribution:

1. For z < 0; P(Z < 2) < 0

  - This statement is true. Since z < 0, the probability of Z being less than 2 (a positive value) is less than 0.

2. P(Z < 0) = 0.50

  - This statement is true. For the standard normal distribution, the probability of Z being less than 0 is 0.50 or 50%.

3. P(Z > 0) = 0.0

  - This statement is false. The probability of Z being greater than 0 is not 0.0 but rather 0.50 or 50%.

4. For z > 0, P(Z < 2) < 0.50

  - This statement is true. When z is positive, the probability of Z being less than 2 is less than 0.50.

5. For z > 0, P(Z < 2) > 0.50

  - This statement is false. When z is positive, the probability of Z being less than 2 is always less than 0.50.

6. P(Z > 0) = P(Z < 0) = 0

  - This statement is false. The probability of Z being greater than 0 and less than 0 is both 0.50 or 50%.

Therefore, the true statements are:

- For z < 0; P(Z < 2) < 0

- P(Z < 0) = 0.50

- For z > 0, P(Z < 2) < 0.50

For the second set of statements regarding the pth percentile of a continuous random variable:

1. The area under the curve to the left of the pth percentile is equal to p

  - This statement is true. The pth percentile represents the value below which a certain percentage (p) of the data falls.

2. The area under the curve to the left of the pth percentile is equal to (1-p)

  - This statement is false. The area to the left of the pth percentile is equal to p, not (1-p).

3. The area under the curve to the right of the pth percentile is equal to (1-P)

  - This statement is true. The area to the right of the pth percentile is equal to (1 - p).

4. The area under the curve to the right of the pth percentile is equal to p

  - This statement is false. The area to the right of the pth percentile is equal to (1 - p), not p.

5. The pth percentile is positive

  - This statement's validity depends on the specific distribution being considered. The pth percentile could be positive, negative, or zero, depending on the distribution.

Therefore, the true statements are:

- The area under the curve to the left of the pth percentile is equal to p

- The area under the curve to the right of the pth percentile is equal to (1-P)

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Answer:

Step-by-step explanation:

1. the 125g

b. 100ml for 1.79

Answer:

agree

Step-by-step explanation:

Answer: A

Step-by-step explanation: 4,367÷0.004= 1,091,750

Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of rectangle = Length ×Breadth

\(Length =8x+1\\Breadth = 3x-2\\\\A =\left(8x+1\right)\left(3x-2\right)\\\\=8x\times\:3x+8x\left(-2\right)+1\times\:3x+1\times\left(-2\right)\\\\=8\times\:3xx-8\times \:2x+1\times \:3x-1\times\:2\\\\=24x^2-13x-2\)

Answer:

(x-2)^2-11

Step-by-step explanation:

Answer:

(10/3)π units

Step-by-step explanation:Mark if it is correct

Answer:

\(\frac{10\pi }{3}\) inches

≈ 10.5 inches

Step-by-step explanation:

The formula for arc length is as follows:
Arc length = \(\frac{\theta}{360} * 2\pi\)

\(\frac{120}{360} * 10\pi \\= \frac{1}{3} * 10\pi \\= \frac{10\pi}{3}\)

Hope this helps and feel free to mark this as brainliest!

Answer:

1. Mean : 85.6

2. Median : 90

3. Mode : 95

4. Range : 35

Step-by-step explanation:

1. For Mean, you add up all the terms and divide the resulting sum by the number of terms. In this case there were 9 terms that added up to 770, and when you divided that result by 9, the answer was 85.555 repeating. Since the question asks to round to the nearest tenth 85.6 represents the correct mean or average of the class.

2. To find the median, line up all the numbers in order from least to greatest. Like so :

60,75,75,90,90,95,95,95,95

In order to find the median, find the middle term. Since there are 9 terms, the middle term will be the fifth one. In this case, the answer was 90.

3. Mode represents the number that appears the most in a data set. Look at the 9 terms and find the one that appears the most. In this case it is 90.

4. Lastly, to find the range, subtract the lowest value in the data set from the highest one. 95 is the highest and 60 is the lowest. Do \(95-60\) and you will get an answer of 35.

Hope this helps!

Answer:

Mean: 85.6

Median: 90

Mode: 95

Range: 35

Step-by-step explanation:

Mean: Add up all the value and divide by the number of values you have.

75 + 95 + 90 + 95 + 60 + 95 + 75 + 95 + 90 = 770

770 / 9 = 85.6

Median: Rearrange in increasing order + look at middle number

60, 75, 75, 90, 90, 95, 95, 95, 95

Mode: Number that shows up the most.

95 shows up 4 times.

Range: Maximum - Minimum.

95 - 60 = 35.

Last year the chess club had 30 members. This year the club has 24 members.

Last year, the chess club had 30 members. This year, the club has 24 members. Since this year had less than last year ( 30 > 24), the percent will be decreasing.

To find the percent decrease, you have to use the following formula.

\(\frac{Difference}{Original} \times 100\)

Difference refers to the difference between the two numbers, 24 and 30. The difference between 24 and 30 is 6. Original refers to the original number, which is last year's amount of members in the chess group. Therefore, original = 30.

Substitute the numbers into the formula.

\(\frac{Difference}{Original} =\frac{6}{30} =0.2\)

To convert the decimal to a fraction, multiply the decimal by 100.

\(0.2 \times 100 = 20 \%\)

The answer is the number of chess members decreased by 20%.

____

Since I started off by identifying whether it was decreasing or increasing, I did the work a bit differently. When finding the difference, you would usually subtract 30 from 24, which results in -6. Above I used 6, but if you used -6, you would end up with a result of -20%, which means it decreased by 20%. They bot end up with the same result, but you don't always have to first identify whether it's decreasing or increasing.

____

Answer:

Decreasing

Step-by-step explanation:

The percentages are decreasing because one year the club had 30 members and the present year has 24 members that decreased by 6!

Answer:No he is incorrect the correct answer would be 11

Step-by-step explanation: It would be 11 because since he eats 7 rolls per minute it would be like 7x1 so 7x11=77 and 11 would be the minutes.

The circled point conveyed that this statistic shows that 40% of the sales representatives at this real estate firm had a monthly sales volume of $300,000 or less.

The number of values in the set of data that are less than or equal towards the value of the variable is known as the cumulative frequency of that value. Divide the frequency more by total number of data values to obtain the relative frequency. Add all of the earlier relative frequencies here to relative frequency again for current row to obtain the cumulative relative frequency.

for the given data:

Thus, the circled point conveyed that this statistic shows that 40% of the sales representatives at this real estate firm had a monthly sales volume of $300,000 or less.

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The solution to the inequality using William's template is x  > 21.5/19

The inequality expression is given as

-1.5(4x + 1) > 45 - 25(x + 1)

For parentheses: Distribute

So, we have

-6x - 1.5 > 45 - 25x - 25

2. If necessary: Combine Terms

So, we have

19x  > 21.5

3. Apply properties: Divide both sides by 19

x  > 21.5/19

Hence, the solution to the inequality using William's template is x  > 21.5/19

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Answer:

45

Step-by-step explanation:

5-4

25-20

Answer:

it can be written as 0.44y=40

44% can be written as 0.44

Step-by-step explanation:

to solve for y divide both sides by 0.44

to get y is equal to 100

Answer:

13A + 1

Step-by-step explanation:

Combine like terms. Like terms are terms that have the same amount of the same variable:

Set the expression:

12A + A + 2 - 1

(12A + A) + (2 - 1)

13A + 1

13A + 1 is your answer.

~

Hey there!

12a + 2 + a - 1

COMBINE the LIKE TERMS

= (12a + 1a) + (2 - 1)

= 12a + 1a + 2 - 1

= 13a + 1

Therefore, your answer is: 13a + 1

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer: If you complete 5 lines of the book per day and your friend completes 30 lines of the book per day, your friend will complete the book before you do

Step-by-step explanation: To figure out how long it will take for each of you to complete the book, you can divide the number of lines you each have left to complete by your daily rate of progress.

For you, it will take 4200 lines / 5 lines/day = 840 days to complete the book.

For your friend, it will take 9000 lines / 30 lines/day = 300 days to complete the book.

Thus, your friend will finish the book in 300 days, while it will take you 840 days to finish.

The fire stations should be placed in neighborhoods 1, 3, and 4.

The shipping plan that minimizes the total number of sailing days is as follows: Ship 1 from Origin 1 to Destination 2, Ship 1 from Origin 1 to Destination 3, Ship 2 from Origin 2 to Destination 2, Ship 1 from Origin 2 to Destination 4, Ship 1 from Origin 3 to Destination 2, and Ship 3 from Origin 3 to Destination 4.

The optimal flow plan for the network is as follows:

Flow from Node A to Node D with a capacity of 6 units.

Flow from Node A to Node B with a capacity of 3 units.

Flow from Node B to Node C with a capacity of 3 units.

Flow from Node B to Node D with a capacity of 3 units.

Flow from Node C to Node D with a capacity of 3 units.

The optimal flow through the network is 6 units.

To solve this problem, we can use a graph-based approach. Each neighborhood can be represented as a node in a graph, and the borders between neighborhoods can be represented as edges connecting the corresponding nodes. We need to find the minimum number of fire stations required to cover all neighborhoods while considering adjacency.

To do this, we can use a graph algorithm such as minimum spanning tree (MST) or maximum flow to determine the optimal locations for fire stations. In this case, neighborhoods 1, 3, and 4 will host the fire stations.

This is a transportation problem that can be solved using the transportation simplex method. We have three origins and four destinations, with given numbers of ships available at each origin and the number of ships required at each destination. We also have the sailing times between origins and destinations. By formulating the problem as a transportation model and solving it using the simplex method, we can find the optimal shipping plan that minimizes the total number of sailing days.

The specific steps of the simplex method involve setting up the initial feasible solution, finding the optimal solution by iterating through iterations, and updating the solution until an optimal solution is reached. The optimal shipping plan will determine which ships should sail from each origin to each destination.

To formulate the problem as a maximum flow problem, we can represent the network as a directed graph with nodes representing the source (Node A), intermediate nodes (Nodes B and C), and the sink (Node D). The edges between the nodes represent the capacity of the flow. We need to determine the maximum flow from the source to the sink while respecting the capacity constraints of the edges.

By using a flow algorithm such as the Ford-Fulkerson algorithm or the Edmonds-Karp algorithm, we can find the optimal flow plan for the network. The optimal flow plan will indicate the flow values through each edge, maximizing the flow from the source to the sink while considering the capacity limitations.

In a spreadsheet model, we can set up the nodes and edges of the network, assign capacities to the edges, and use a flow algorithm to calculate the maximum flow through the network. The optimal flow plan will specify the flow values for each edge, indicating how much flow should pass through each edge to achieve the maximum flow from the source to the sink. The optimal flow through the network will be the maximum flow value obtained from the flow algorithm.

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9 in 8956 = 900

9 in 95675 = 90000

9 = 9 in 124569

9 in 68795 = 90

90000 = 9 in 2549652.........

hope it helps...

Answer: -19

Step-by-step explanation: 5 x 3 = 15

9 x 4 = 36

15 - 36 = -21

-21 + 2 = -19

The present ages of the father and son are 36 and 9, respectively.

The sum of the ages of a father and son is 45 years. Five years ago, the product of their ages was four times the father's age at that time. To find the present ages of the father and son, we can set up a system of equations.

Let's denote the present ages of the father as "F" and the present age of the son as "S".

From the information given, we have two equations:

Equation 1: F + S = 45 (The sum of their ages is 45)
Equation 2: (F - 5)(S - 5) = 4(F - 5) (Five years ago, the product of their ages was four times the father's age at that time)

To solve this system of equations, we can use substitution or elimination method.

Let's solve it using the substitution method:

From Equation 1, we can express F in terms of S: F = 45 - S

Now, substitute F in Equation 2 with 45 - S:

(45 - S - 5)(S - 5) = 4(45 - S - 5)

Simplify the equation:

(40 - S)(S - 5) = 4(40 - S)

Expand and simplify:

40S - 5S - 200 + 25 = 160 - 4S

Combine like terms:

35S - 175 = 160 - 4S

Add 4S to both sides:

35S + 4S - 175 = 160

Combine like terms:

39S - 175 = 160

Add 175 to both sides:

39S = 335

Divide both sides by 39:

S = 335/39

Simplify:

S ≈ 8.59

Since age cannot be in decimal places, we can approximate the son's age to the nearest whole number:

S ≈ 9

Now, substitute S = 9 into Equation 1 to find the father's age:

F + 9 = 45

Subtract 9 from both sides:

F = 45 - 9

F = 36

Therefore, the present ages of the father and son are 36 and 9, respectively.

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The elevation of Mt. Wilson is 17362.31 feet.

An equation is a a mathematical statement formed when two algebraic expressions are equated by an equal sign.

It is given in the question

the various heights of the peak ,

It has been asked to form an equation

Snow Crest is 11,127 feet higher than Mt.Wilson

The equation to find the elevation of Mt. Wilson is

Let the height of Mt.Wilson be x

Then

28489.31 - x = 11127

x = 17362.31

The elevation of Mt. Wilson is 17362.31 feet.

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Answer:

independent = study time

dependent = grade

Step-by-step explanation:

grade is dependent upon amount of time you study (which you control independently)

Answer:

I think the independent is the time you study while the dependent variable is your grade.

Step-by-step explanation:

Since the grade relies on how much studying you do, it is dependent.

The effective interest rate on the operating lease is 12.45%

Under the straight-line method of depreciation, the annual depreciation for the computers can be determined as follows:

Depreciation expense = (Cost - Residual value) / Useful life

Depreciation expense = ($120,000 - $0) / 6 years = $20,000 per year

Hence, semi-annual depreciation is $10,000 ($20,000 / 2) per payment.

The operating lease payments are $15,000 per semi-annual payment. The total amount of the lease payments for the 2-year term is $60,000 ($15,000 x 4).

Thus, the present value of the operating lease payments can be computed as follows:PV of lease payments = ($10,000 / 0.0609) x [1 - (1 / 1.0609^8)]PV of lease payments = $47,907.29

The implicit interest rate on the lease is 0.0609 or 6.09% (computed by dividing the lease interest by the present value of the lease payments).

The effective interest rate is 12.45% (computed by doubling the implicit interest rate).

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Answer:

7.5/3

Step-by-step explanation:

7x-7.5 = 4x

-7.5 = -3x

x= 7.5/3