Stella models a can of ground coffee as a right cylinder. She measures a tight as five and one over4 inches and its volume is 8 in.³. Find the Can’s diameter in inches. Round your answer to the nearest 10th if necessary.

Step-by-step explanation:

the number which is a perfect cube :

125, because 125 = 5³

Answer: A

Step-by-step explanation:

The percentage of the variation in y can be explained by the corresponding variation in x and the least - squares line

The value of the coefficient of determination r2 = 0.9617*0.9617 = 0.9249

percentage of the variation in y can be explained by the corresponding variation in x and the least - squares line is = 92.49%

So, percentage is unexplained = (100 - 92.49)%

= 7.51%

Therefore, the percentage of the variation in y that can be explained by the corresponding variation in x and the least-squares line is 92.49% . The percentage which is unexplained is 7.51% i.e. (100%−92.49%) .

Hence the variation in X and the least-squares line is 7.51%

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To determine the probability of home and away wins, we need to know the number of wins for each category. Let's assume that Sasha's team won 8 games at home and 10 games away.

The probability of a home win can be calculated by dividing the number of home wins by the total number of home games:

Probability of Home Win = Number of Home Wins / Total Number of Home Games = 8 / 12 = 2/3 ≈ 0.67

The probability of an away win can be calculated by dividing the number of away wins by the total number of away games:

Probability of Away Win = Number of Away Wins / Total Number of Away Games = 10 / 12 ≈ 0.83

Based on these calculations, the probability of an away win (0.83) is higher than the probability of a home win (0.67). Therefore, Sasha's belief that her team plays better at away games seems to be supported by the data, as they have a higher probability of winning in away games compared to home games.

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Answer:

Please see picture below

Step-by-step explanation:

Answer: (9,7)

Step-by-step explanation:

Answer:

10 √10

Step-by-step explanation:

Answer:

\(10\sqrt{10}\)

Step-by-step explanation:

The largest perfect square of the factors of 1000 is 100. We can therefore convert √1000 like this:

√100 × 10

Next, we separate the numbers inside the √ as such:

√100 × √10

√100 is a perfect square that equals 10. We can therefore put 10 outside the radical and get the final answer to square root of 1000 in simplest radical form as follows:

10√10

Answer:

10

Step-by-step explanation:

10-7=3

hope this helps!

The volume of the display case is 2161 1/8 cubic inches.To find the volume of a rectangular prism-shaped display case, we multiply its length, width, and height.

Given that the display case is 30 1/2 inches wide, 10 1/2 inches long, and 32 1/4 inches tall, we can calculate the volume as follows:

Volume = Length * Width * Height

Using the given measurements:

Volume = 10 1/2 inches * 30 1/2 inches * 32 1/4 inches

To simplify the calculation, we can convert the mixed numbers to improper fractions:

Volume = (21/2) inches * (61/2) inches * (129/4) inches

Next, we multiply the fractions:

Volume = (21/2) * (61/2) * (129/4) = 17289/8

The resulting fraction, 17289/8, is an improper fraction. To convert it back to mixed number form:

Volume = 2161 1/8 in³.

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Answer: 21,400 mg

Step-by-step explanation: Multiply the mass value by 1000 .

The most appropriate units to describe the cost of the sandbox would indeed be dollars.

When describing the cost of an item or service, it is essential to use the unit that represents the currency being used for the transaction. In this case, the total cost of the sand for the school's sandbox is given in dollars. To maintain consistency and clarity, it is best to express the cost in the same unit it was provided.

Using dollars as the unit for the cost allows for clear communication and understanding among individuals involved in the transaction or discussion. Dollars are widely recognized as the standard unit of currency in many countries, including the United States, where the dollar sign ($) is commonly used to denote monetary values.

Using meters, the unit for measuring the dimensions of the sandbox, to describe the cost would be inappropriate and could lead to confusion or misunderstandings. Mixing units can cause ambiguity and hinder effective communication.

Therefore, it is most appropriate to describe the cost of the sand in dollars, aligning with the unit of currency provided and commonly used in financial transactions. This ensures clarity and facilitates accurate comprehension of the cost associated with the sand purchase for the school's sandbox.

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14 ) x + 37 + 37 = 180

or , x + 74 = 180

or , x = 180 - 74

or , x = 106

This scenario involves a permutation as Jaidee is deciding the order in which she will complete her homework. There are 7 subjects, so the number of possibilities is 7! (7 factorial), which is 5040.

The scenario involves a permutation because Jaidee is arranging the order in which she will complete her homework, which is a specific sequence.

As there are seven subjects, the number of possibilities can be calculated using the formula for permutations: n!/(n-r)!,

where n is the total number of items and

r is the number of items being chosen.

In this case, the total number of items is 7, and all 7 are being chosen.

Therefore, the number of possibilities is 7! (7 factorial), which is equal to 5040.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

State if the scenario involves a permutation or a combination. Then find the number of possibilities.

Jaidee has homework in seven subjects. She is deciding what order to complete them in.

Answer:

Im pretty sure its D.

Step-by-step explanation:

I think it would be option D. Is it considered the subsoil layer

In the second step of solving the inequality 5x - 9 < 91, the property used is the addition property of inequalities.

This property states that adding the same value to both sides of an inequality does not change the inequality's direction. By adding 9 to both sides of the inequality, we aim to isolate the variable term. The inequality becomes 5x < 100.

The addition property allows us to perform this operation and maintain the validity of the inequality. It is a fundamental property in solving inequalities, enabling us to simplify and manipulate expressions.

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Answer:

-b-b+5 = -2b+5

Let me know if this helps!

Answer: um i think 300

Step-by-step explanation:

Answer:

option (C) i.e m∠CEB = 45°

Step-by-step explanation:

have a great day!

Answer:

C. m∠CEB = 45°

1. the mean is 16

2. the mean is 22.5

the formula that can be used to calculate the mean is

= sum of terms/number of terms

(1) for the first question the mean can be calculated as follows

      sum of terms= 20+15+19+16+10

                             = 80

      number of terms= 5

      mean= 80/5

            = 16

(2) for the second question the mean can be calculated as follows

       sum of terms= 19+23+11+30+27+27+22+26+16+24

                      = 225

        number of terms= 10

         mean= 225/10

              = 22.5

Hence the mean for the first expression is 16 and the mean for the second expression is 22.5

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9514 1404 393

Answer:

  -2 5/9

Step-by-step explanation:

w +(-x) -2/3 = w -x -2/3 = -5/9 -4/3 -2/3

  = -(5/9 +4/3 +2/3) = -(5/9 +(4+2)/3) = -(5/9 +2)

  = -2 5/9

Answer:

Decrease by 2 and 3

Then on x increase by 2 and 3

Step-by-step explanation:

The probability that the first person to enter the room will be randomly seated at a walnut table is approximately 0.129, or 12.9%.

To calculate the probability that the first person to enter the room will be randomly seated at a walnut table, we need to determine the total number of tables and the number of walnut tables specifically.

The total number of tables in the room is the sum of the walnut, poplar, cedar, and cherry tables:

Total number of tables = 4 walnut tables + 9 poplar tables + 7 cedar tables + 11 cherry tables = 31 tables.

The probability of being seated at a walnut table can be calculated by dividing the number of walnut tables by the total number of tables:

Probability = Number of walnut tables / Total number of tables = 4 walnut tables / 31 tables ≈ 0.129.

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There are some disadvantages to using this type of data collection is:

"Information available from the question"

In the question:

After gathering data on the effectiveness of company meetings, you decide to conduct a survey to obtain measurable qualitative and quantitative feedback. you will mail a survey to several companies.

To write the disadvantages to using this type of data collection.

Now, According to the question:

There are some disadvantages to using this type of data collection is:

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The answer is (b) 0.40. A random variable X is best described by a continuous uniform distribution from 20 to 45 inclusive.

The continuous uniform distribution is defined by the probability density function:

f(x) = 1/(b-a) for a ≤ x ≤ b

where a and b are the lower and upper limits of the distribution, respectively.

In this case, a = 20 and b = 45, so the probability density function is:

f(x) = 1/(45-20) = 1/25 for 20 ≤ x ≤ 45

To find P(30 ≤ X ≤ 40), we integrate the probability density function from 30 to 40:

P(30 ≤ X ≤ 40) = ∫30^40 (1/25) dx

P(30 ≤ X ≤ 40) = [x/25]30^40

P(30 ≤ X ≤ 40) = (40/25) - (30/25)

P(30 ≤ X ≤ 40) = 0.4

Therefore, the answer is (b) 0.40.

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Answer:

1/7^8

Step-by-step explanation:

Quotient rule of exponents:

7^-6-(2)

7^-8

negative exponent rule:

1/7^8

Answer:

196 miles

Step-by-step explanation:

distance (D) is calculated as

D = S × T ( S is average speed and T is time in hours )

here T = 3 and a half hours = 3.5 hours and S = 56 , then

D = 56 × 3.5 = 196 miles

j = 13

7×j = 91

j = 91 : 7

j = 13

The approximate ordered pair is the coordinate where both functions graph intercect

That's can be found only by observing graph.

As we observe we find that

The coordinate at where f(x)=g(x) is (3,18)

It means that

at this the values of both the functions are equal

i.e

Answer:

b)  (3, 18)

Step-by-step explanation:

f(x) = g(x) at the point where the two lines intersect.

From inspection of the graph, we can see that the x-value of the point of intersection is between 0 and 10.  Therefore, from the options given, it must be x = 3 (since 12 > 10 and 18 > 10).

From inspection of the graph, we can see that the y-value of the point of intersection is between 10 and 20, but it's nearest to 20 than it is 10.  Therefore, from the options given, it must be y = 18.

Therefore, the approximate ordered pair is (3, 18)