2. Cassie finishes softball practice at 3:52 p.m. after practicing for 30 minutes. What time did Cassie's
practice start?

Answer:

8/20 = 2/5

Hope this helps!

Answer:

12

Step-by-step explanation:

e would need a sample size of at least 22 pieces of fabric to have a 0.01 probability of the sample mean breaking strength being less than 1.8 kg/mm.

a. We can use the Central Limit Theorem to approximate the distribution of the sample mean breaking strength. The mean of the sample mean breaking strength is still 1.86, and the standard deviation of the sample mean is equal to the population standard deviation divided by the square root of the sample size: 0.27/sqrt(80) = 0.0302.

Then, we can standardize and find the z-score:

z = (1.8 - 1.86) / 0.0302 = -1.99

Using a standard normal table or calculator, we can find the probability that a standard normal random variable is less than -1.99 is approximately 0.023. Therefore, the probability that the sample mean breaking strength is less than 1.8 kg/mm is about 0.023.

b. To find the 80th percentile of the sample mean breaking strength, we need to find the z-score such that the area to the left of the z-score is 0.80. Using a standard normal table or calculator, we can find that this z-score is approximately 0.84. Then, we can find the corresponding sample mean breaking strength:

x = mean + z * (standard deviation / sqrt(sample size))

x = 1.86 + 0.84 * (0.27/sqrt(80)) = 1.89

Therefore, the 80th percentile of the sample mean breaking strength is approximately 1.89 kg/mm.

c. We need to find the sample size such that the probability of the sample mean breaking strength being less than 1.8 kg/mm is 0.01. We can use the same formula as in part a, but rearranged to solve for the sample size:

z = (1.8 - 1.86) / (0.27/sqrt(n))

sqrt(n) = (0.06 / (0.27 * z))

n = ((0.06 / (0.27 * z)))^2

Using z = -2.33 (the z-score corresponding to a probability of 0.01), we can find the sample size needed:

n = ((0.06 / (0.27 * -2.33)))^2 = 21.83

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OLAP is used for the analysis of accumulated data, and it requires a data warehouse.

while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing. The analysis of accumulated data is known as Online Analytical Processing (OLAP), and it involves a data warehouse. OLAP is a business intelligence tool used for multi-dimensional analysis of large data sets, while a data warehouse is a central repository that stores historical and current data from multiple sources in a structured manner. OLAP allows users to perform complex queries on large data sets, analyze trends, and make informed business decisions. It is often used in data mining and decision support systems. OLAP tools can be used to slice and dice data, drill down to more detailed data, and roll up to higher levels of summary data. OLAP is primarily used for analytical purposes and is not designed for transaction processing. On the other hand, a data warehouse is designed to support OLAP and is used for storing large amounts of historical data that can be queried and analyzed. Data is extracted from various sources, transformed, and loaded into the data warehouse in a structured format, enabling efficient querying and analysis. OLTP (Online Transaction Processing), on the other hand, is a type of transaction processing that is designed for processing real-time transactions in databases. It is used for day-to-day operations such as order processing, inventory management, and customer management. OLTP is optimized for processing large volumes of transactions in real-time, and is not suitable for analytical purposes.

In summary, OLAP is used for the analysis of accumulated data, and it requires a data warehouse, while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing.

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.

Answer: 6+4+2+2+2+766

Step-by-step explanation:

655*565(77)

answer is 72cm multiply 12cm with 6cm

Step-by-step explanation:

multiply length times width

Answer:

x+6=9

Step-by-step explanation:

divide all by 5

Answer:

x=3

Step-by-step explanation:

Subtract 30 from both sides.

5x=15

Divide both sides by 5

x=3

Edit: Go with the other answer

If rxy = 0.83, we can conclude that x and y have a relatively strong positive linear relationship or correlation.

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables, in this case, x and y. The value of r ranges between -1 and 1. A positive value indicates a positive relationship, meaning that as one variable increases, the other variable tends to increase as well.

In this case, with rxy = 0.83, the correlation coefficient is close to 1, suggesting a strong positive linear relationship. This means that when x increases, y also tends to increase, and vice versa. The closer the value of r is to 1, the stronger the linear relationship between x and y.

It is important to note that correlation does not imply causation. While a high correlation coefficient indicates a strong linear relationship, it does not provide information about the underlying cause or direction of the relationship between the variables. Other factors and variables may influence the relationship, and further analysis may be required to understand the nature of the relationship between x and y.

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Answer:

C

Step-by-step explanation:

Plug the values of f(x) and g(x) into the equation.

(8x^3 + 16x^2 -15)/2x+1

Then divide or simplify

I'm not exactly sure how to explain how to divide this but I'm sure of my answer

Hope this helps!

Answer:

C

Step-by-step explanation:

If the production line breaks down 2 times a week , then the probability that interarrival times between breakdown will be less than 2 days is 0.4060  .

Number of times the production line breaks down is = 2 times ;

We have to find , the probability that interarrival times between breakdown will be less than 2 days ;

Here, the value of λ = 2 and x = 2 ;

the probability can be found by using the Poisson Distribution ;

We know that ;  Poisson's distribution formula ⇒ P(X = x) = [λˣ × \(e^{-\lambda }\)]/x! ;

We have to calculate : P(X < 2) ;

that is P(X < 2) = (2⁰ × e⁻²/0!) + (2¹ × e⁻²/1!)

⇒ P(X < 2) = 0.1353 + 0.2707 ;

⇒ P(X < 2) = 0.4060 .

Therefore , the probability for the time less than 2 days is 0.4060  .

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The given question is incomplete , the complete question is

A manufacturing production line breaks down two times a week on average. What is the probability that the interarrival times between breakdown will be less than 2 days ?

The extracellular matrix in connective tissue is made up of structural components, such as collagen, proteoglycans, elastin, and fibronectin.

Collagen provides strength and support, proteoglycans provide lubrication and hydration, elastin is a component that allows the tissue to stretch, and fibronectin is a protein that helps cells stick to their environment.
The components of the extracellular matrix in connective tissue are:

1. Ground substance: This is a gel-like substance that fills the space between the cells and fibers in the extracellular matrix. It is composed of proteoglycans, glycosaminoglycans, and glycoproteins.

2. Fibers: There are three types of fibers found in the extracellular matrix of connective tissue. These are collagen fibers, elastic fibers, and reticular fibers. Collagen fibers provide strength and support, elastic fibers allow for stretch and recoil, and reticular fibers provide a supportive framework for cells.

3. Cells: There are a variety of cells found in the extracellular matrix of connective tissue, including fibroblasts, macrophages, mast cells, and adipocytes. Fibroblasts produce the ground substance and fibers, macrophages are involved in immune response, mast cells release histamine during inflammation, and adipocytes store fat.

Overall, the extracellular matrix in connective tissue is composed of ground substance, fibers, and cells, all of which work together to provide support and structure to the tissue.

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Answer:

7/24

Step-by-step explanation:

Th question doesn't give enough information. Is it that 17 girls watched the tennis? Let's assume that's the question.

If there are 20 boys in total, this means there 36 girls in total.

This means if 17 girls watched then 19 did not watch.

If in total all those that didn't watch is 32 and 19 girls did not watch, then 13 boys did not watch.

We are left with 7 boys watched and 17 girls watched and in total 24 students watched.

The probability that if a student is chosen at random a boy will be chosen will be:

7/24.

Answer: (1)

Step-by-step explanation:

Using the properties of a 30 60 90 triangle, we get that ML=24sqrt3 and JM=24.

This means that the tangent is 24sqrt3 / 24.

When multiplying fractions, multiply the numerator (top number), then the denominator (bottom number), and finally reduce to the lowest term if necessary.

Fractions are subsets of wholes. They are made up of a numerator (the number on top) and a denominator (the number on the bottom). The numerator represents the number of parts, while the denominator represents the total number of available parts.

To multiply two fractions, follow these three simple steps:

Step 1: Multiply the numerators of each fraction by themselves (the numbers on top). The answer's numerator is the result.

Step 2: Add the denominators of each fraction together (the numbers on the bottom). The answer's denominator is the result.

Step 3: Simplify or reduce your response.

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The expansion of the function f = y'x + x'z with respect to x yields (x + y')(x + z'), and the expansion with respect to y gives (x' + y)(x + z').

(a) To expand the function f = y'x + x'z with respect to x, we use the distributive property and apply De Morgan's law to simplify the expression:

f = y'x + x'z

  = x'y + x'z

  = (x'y)'(x'z)'    [Using De Morgan's law]

  = (x + y')(x + z')   [Using De Morgan's law again]

(b) Designing the function using a 2-to-1 multiplexer for the case of expanding f with respect to x involves using the inputs x, y, and z as the select lines of the multiplexer. The inputs x + y' and x + z' will be connected to the data inputs of the multiplexer, and the output of the multiplexer will be the expanded function f.

(c) Similarly, for expanding f with respect to y, the expansion is:

f = y'x + x'z

  = xy' + x'z

  = (xy')'(x'z)'    [Using De Morgan's law]

  = (x' + y)(x + z')   [Using De Morgan's law again]

For this case, the inputs x', y, and z will serve as the select lines of the 2-to-1 multiplexer. The inputs x' + y and x + z' will be connected to the data inputs, and the output of the multiplexer will represent the expanded function f.

In both cases, the 2-to-1 multiplexer is used to implement the logic function by selecting the appropriate data inputs based on the select lines, which are derived from the expansion of the function with respect to the corresponding variable.

In conclusion, the expansion of the function f = y'x + x'z with respect to x yields (x + y')(x + z'), and the expansion with respect to y gives (x' + y)(x + z'). By utilizing 2-to-1 multiplexers, the expanded functions can be designed by connecting the appropriate data inputs to the multiplexer based on the select lines derived from the expansions. This allows for the implementation of the logic functions using multiplexers, providing a compact and efficient circuit design.

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Answer:

11.832

Step-by-step explanation:

Answer:

11.832

Step-by-step explanation:

11.832.......² = 140

11.832 simplified to the hundredths place is 11.83

Hope this helped! HAVE A GOOD DAY!

To find the volume of the glass formed by rotating the shaded region about the y-axis, we can use the method of cylindrical shells.

The volume of a solid of revolution using cylindrical shells is given by the integral:

V = ∫[a,b] 2πx * f(x) * dx

In this case, the function representing the curve that forms the inside of the glass is y = x^4/2. We need to find the limits of integration, a and b, which correspond to the x-values where the shaded region begins and ends.

From the graph, it appears that the shaded region begins at x = -1 and ends at x = 1. So, the limits of integration are -1 to 1.

Now, we can calculate the volume of the glass using the integral formula:

V = ∫[-1,1] 2πx * \((x^4/2) * dx\)

V = π * ∫[-1,1] \(x^5 dx\)

Using the power rule of integration, we integrate x^5:

V = π * [x^6/6] from -1 to 1

V = π * [\((1^6/6) - (-1^6/6)]\)

V = π * [(1/6) - (1/6)]

V = π * 0

Therefore, the volume of the glass is 0 cubic units.

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Answer:

EF = 10;   AD = 3 ;     BC = 17        

Step-by-step explanation:

The median (EF) of a trapezoid equal half the sum of the length of the two bases of the trapezoid (AD and BC)

EF = 1/2 (AD + BC)

x = 1/2( x - 7 + 2x - 3)

x = 1/2 (3x - 10)      

2x = 3x - 10                  Multiply all terms by 2     or   x = 3/2x - 5

-x = -10                                                                         x - 3/2x  = -5

x = 10                                                                             -1/2x = -5

                                                                                      x = 10

So EF = 10

     AD = x - 7               BC = 2x - 3

     AD = 10 - 7             BC = 2(10) - 3

     AD = 3                   BC = 20 - 3    

                                    BC = 17                                                    

To find the ratio of the length to the perimeter of a rectangle, we need to calculate the perimeter of the rectangle first.

The perimeter of a rectangle is given by the formula:

Perimeter = 2 * (Length + Breadth)

Given that the length of the rectangle is 20 cm and the breadth is 14 cm, we can substitute these values into the formula:

Perimeter = 2 * (20 cm + 14 cm)

Perimeter = 2 * 34 cm

Perimeter = 68 cm

Now, we can find the ratio of the length to the perimeter:

\(Ratio = \frac{Length}{Perimeter}\)

\(Ratio = \frac{20 cm}{68 cm}\)

To simplify the ratio, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 4:

\(Ratio = \frac{\frac{20 cm}{4} }{\frac{68 cm}{4} }\)

\(Ratio = \frac{5 cm}{17 cm}\)

Therefore, the ratio of the length to the perimeter of the rectangle is 5:17.

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The modal lengths of the ribbons are 60 cm and 110cm.

If the length 110 is removed, the new model length would be 60 cm.

Mode refers to a value that appears most frequently in a data set. Mode is a measure of central tendency. 110 and 60cm occur twice in the dataset. Thus, they are the mode lengths.

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k decreased from k = 10 to k = 5, the value of 35+k also decreased from 45 to 40.

A mathematical expression is a finite combination of symbols that is well-formed in accordance with context-specific norms. A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. Any one of the following mathematical operations can be used. A sentence has the following structure:

The formula is (Number/Variable, Math Operator, Number/Variable). Any mathematical statement made up of numbers, variables, and an operation between them is called an expression or an algebraic expression. As an illustration, the equation 4m + 5 consists of the terms 4m and 5, as well as the variable m, all of which are separated from one another by the arithmetic sign +.

Let's say k = 10. This would mean 35+k = 35+10 = 45

Now let's drop k to k = 5. So 35+k = 35+5 = 40

We see that because k decreased from k = 10 to k = 5, the value of 35+k also decreased from 45 to 40.

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Complete question is: What happens to the value of the expression 35 + k as k decreases?

The expected standard deviation of stock A's returns, based on the information presented in the table, is approximately 23.57%.

To calculate the expected standard deviation of stock A's returns, we first need to calculate the variance. The variance is the average of the squared deviations from the expected return, weighted by the probabilities of each outcome.

Given the information provided:

Outcome Probability Stock A Return

Good 16% 65.00%

Medium 51% 17.00%

Let's calculate the expected return first:

Expected Return = (Probability of Good × Stock A Return in Good) + (Probability of Medium × Stock A Return in Medium)

= (0.16 × 65.00%) + (0.51 × 17.00%)

= 10.40% + 8.67%

= 19.07%

Next, we calculate the squared deviations from the expected return for each outcome:

Deviation from Expected Return in Good = Stock A Return in Good - Expected Return

= 65.00% - 19.07%

= 45.93%

Deviation from Expected Return in Medium = Stock A Return in Medium - Expected Return

= 17.00% - 19.07%

= -2.07%

Now, we calculate the variance:

Variance = (Probability of Good × Squared Deviation in Good) + (Probability of Medium × Squared Deviation in Medium)

= (0.16 × (45.93%^2)) + (0.51 × (-2.07%^2))

= (0.16 × 0.2110) + (0.51 × 0.0428)

= 0.0338 + 0.0218

= 0.0556

Finally, we calculate the standard deviation, which is the square root of the variance:

Standard Deviation = √Variance

= √0.0556

= 0.2357 or approximately 23.57%

Therefore, the expected standard deviation of stock A's returns, based on the information presented in the table, is approximately 23.57%.

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Answer:

2

Step-by-step explanation:

Lisa paints 1/3 of the room in an hour

Therefore the number of rooms she will paint in 6 hours can be calculated as follows

1 hour= 1/3

6 hours= x

Cross multiply

x= 1/3 ×6

= 2

Hence 2 rooms can be painted in 6 hours

The distributions of data can be characterized along three aspects or dimensions, namely location, spread, and shape. The spread (variance, range, interquartile range) aspects represent variation of the data or the spread of the data distributions.

About the Distribution of Data:

The idea of a distribution is fundamental to illustrating any output from a production process. Any manufacturing process output will not always produce the same value when it is measured, leading to distributions.

The measured values will naturally disperse around a central tendency value. A distribution is the name given to this dispersion around a core value. It is characterized by 3 aspects - location, spread, and shape.

Mean or median represent the location of the distribution numerically. Most common numerical measures that represent the spread are variance, range, and interquartile range. Skewness or kurtosis tell about the shape of the distribution.

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Answer:

The first one, f+2g+3t! :)

Step-by-step explanation:

F is worth 1 point so you don't need to add a number, g is worth 2 points, and t is worth 3 points.

36.99 or 37 rounded, 184.99 x .20 gets you the answer, basic maths

The point of intersection of the lines is x = 2

The point of intersection of two lines is where the two lines meet

Given: y = 2x - 3 and y = -x + 3

We will combine the two equations by equating them:

2x - 3 = -x + 3

2x + x = 3 + 3

3x = 6

x = 6/3 = 2

Therefore, the two lines have an intersection at point x = 2

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We would expect about 80 seventh-graders to attend after-school programs.

To estimate the number of seventh-graders attending after-school programs, we can use the proportion of respondents who attend after-school programs from the sample:

28 out of 140 respondents attend after-school programs, which is a proportion of

= 28 / 140

= 0.2.

We can use this proportion to estimate the number of seventh-graders attending after-school programs in the entire population of 400 seventh-graders:

400 * 0.2 = 80

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