-5+i/2i simplify&show work if you can :)

Answer:

2/21

Step-by-step explanation:

Probability = expected outcome/ possible outcome

Answer:

2.9 meters a second

she can run 174 meters a minute

Step-by-step explanation:

29/10seconds is 2.9

2.9*60 is 174

Answer:

\(2p^2\)

Step-by-step explanation:

Step 1: Apply the exponentiation property:

\((8p^6)^\frac{1}{3} = 8^\frac{1}{3} * (p^6)^\frac{1}{3}\)

Step 2: Simplify the cube root of 8:

The cube root of 8 is 2:

\(8^\frac{1}{3} =2\)

Step 3: Simplify the cube root of \((p^6)\):

The cube root of \((p^6)\) is \(p^\frac{6}{3} =p^2\)

Step 4: Combine the simplified terms:

\(2 * p^2\)

So, the simplified expression is \(2p^2\).

The recursive definition of the arithmetic sequence -34, -21, -8 is:

It is a sequence of values in which the difference between consecutive terms is constant and is called common difference d.

The nth term of an arithmetic sequence is given by the rule presented as follows:

\(a_n = a_1 + (n - 1)d\)

In which \(a_1\) is the first term of the sequence.

An arithmetic sequence can also be defined recursively, as follows:

In this problem, the sequence is given as follows:

-34, -21, -8.

Hence the first term and the common ratio are given as follows:

Hence the recursive definition of the sequence is:

More can be learned about arithmetic sequences at https://brainly.com/question/6561461

#SPJ1

Answer:

-6.4 maybe sorry if I'm wrong I'm dumb right now :)

Options 3 and 4 are empty sets.

Well-defined collection of objects or elements is called sets in mathematics. Set having no elements is known as empty set.

We can also define finite and infinite sets  based on the number of elements in a set. An empty set is denoted by the symbol '∅' and is read as 'phi'.

Given U = {x|x is a positive integer greater than 1},

It is not an empty set ,if the set has elements such that x is prime or 2x is prime( positive integer greater than 1).

As the elements in the option 3 and 4 are fractions, therefore they are  empty set as integers don't include fractions or decimals. Integer, also known as whole number, is any positive or negative number in which decimal parts or fractions is not included.

To know more about empty sets, refer

https://brainly.com/question/19221381

#SPJ13

The straight lines representing the tangent and normal at the point x = 7,

have slopes that are related to the slope of the function.

Response:

\(a) \hspace {0.5 cm}The \ equation \ of \ the \ tangent \ line \ is; \ \displaystyle y = \underline{\frac{2}{7} - \frac{x}{49}}\)

\(b) \hspace{0.5 cm} The\ equation \ of \ the \ normal \ line \ is; \ y= \underline{49 \cdot x - 342 \dfrac{6}{7}}\)

\(The \ function \ is; \ f(x) = \mathbf{ \dfrac{1}{x}}\)

The slope of the tangent line is given as follows;

\(Slope = \dfrac{d}{dx} f(x) = f'(x) = \dfrac{d}{dx} \left(\dfrac{1}{x} \right) = \mathbf{ -\dfrac{1}{x^2}}\)

Which gives;

\(The \ slope \ at \ x = 7, \, \mathbf{f'(7) }= -\dfrac{1}{7^2} = -\dfrac{1}{49}\)

\(At \ x = 7, \, f(7) = \dfrac{1}{7}\)

The coordinate of the point on the line at x = 7, is therefore;

\(\mathbf{\left(7, \, \dfrac{1}{7} \right)}\)

The equation of the tangent line is therefore;

\(y - \dfrac{1}{7} = \mathbf{-\dfrac{1}{49} \cdot \left(x - 7\tight)}\)

Which gives;

49·y - 7 = 7 - x

49·y = 14 - x

Which gives;

\(\displaystyle y = \frac{14}{49} - \frac{x}{49} = \mathbf{\frac{2}{7} - \frac{x}{49}}\)

b) The slope of the normal line is the negative inverse of the slope of

the tangent line, therefore;

The slope of the normal line = \(\mathbf{-\frac{1}{-\frac{1}{49} }}\) = 49

The equation of the normal line is; \(y - \dfrac{1}{7} = \mathbf{ 49 \cdot \left(x - 7\tight)}\)

Which gives;

\(y= 49 \cdot \left(x - 7\right) + \dfrac{1}{7} = 49 \cdot x - 343 + \dfrac{1}{7} = \mathbf{49 \cdot x - 342 \dfrac{6}{7}}\)

Learn more about the equation of the normal and tangent of a line here:

https://brainly.com/question/8657814

Answer:

so what should I do

Step-by-step explanation:

hope it helps

A. The probability that one selected subcomponent is longer than 122 cm can be found by calculating the area under the normal distribution curve to the right of 122 cm. We can use the z-score formula to standardize the value and then look up the corresponding probability in the standard normal distribution table.

z = (122 - μ) / σ = (122 - 100) / 5.6 = 3.93 (approx.)

Looking up the corresponding probability for a z-score of 3.93 in the standard normal distribution table, we find that it is approximately 0.9999. Therefore, the probability that one selected subcomponent is longer than 122 cm is approximately 0.9999 or 99.99%.

B. To find the probability that the mean length of three randomly selected subcomponents exceeds 122 cm, we need to consider the distribution of the sample mean. Since the sample size is 3 and the subcomponent lengths are normally distributed, the distribution of the sample mean will also be normal.

The mean of the sample mean will still be the same as the population mean, which is 100 cm. However, the standard deviation of the sample mean (also known as the standard error) will be the population standard deviation divided by the square root of the sample size.

Standard error = σ / √n = 5.6 / √3 ≈ 3.24 cm

Now we can calculate the z-score for a mean length of 122 cm:

z = (122 - μ) / standard error = (122 - 100) / 3.24 ≈ 6.79 (approx.)

Again, looking up the corresponding probability for a z-score of 6.79 in the standard normal distribution table, we find that it is extremely close to 1. Therefore, the probability that the mean length of three randomly selected subcomponents exceeds 122 cm is very close to 1 or 100%.

C. If we want to find the probability that all three randomly selected subcomponents have lengths exceeding 122 cm, we can use the probability from Part A and raise it to the power of the sample size since we need all three subcomponents to satisfy the condition.

Probability = (0.9999)^3 ≈ 0.9997

Therefore, the probability that if three subcomponents are randomly selected, all three of them have lengths that exceed 122 cm is approximately 0.9997 or 99.97%.

Based on the given information about the normal distribution of subcomponent lengths, we calculated the probabilities for different scenarios. We found that the probability of selecting a subcomponent longer than 122 cm is very high at 99.99%. Similarly, the probability of the mean length of three subcomponents exceeding 122 cm is also very high at 100%. Finally, the probability that all three randomly selected subcomponents have lengths exceeding 122 cm is approximately 99.97%. These probabilities provide insights into the performance of the automatic machine in terms of producing longer subcomponents.

To know more about probability follow the link:

https://brainly.com/question/251701

#SPJ11

According to the United Nations, the current world population as of 2021 is approximately 7.9 billion people. The units used to measure this estimate is in billions. I used the United Nations website to locate this information.

The world population has increased by approximately 800 million people over the last 10 years. I used the same United Nations website to locate this information. Looking at the table below, the population growth in the last ten years is significantly higher than the growth between 1950-1960. In the 1950s, the world population was around 2.5 billion, and it grew to around 3 billion by the end of the decade. In comparison, over the last ten years, the world population has grown from 6.9 billion to 7.9 billion. To compare the growth over different periods of time, I looked at the percentage change in population growth and calculated it for each decade. This allowed me to compare the growth rates between different periods of time.

There are several factors that influence population growth. These include birth rates, death rates, migration, and age structure. Birth rates and death rates are influenced by factors such as access to healthcare, education, and economic conditions. Migration can also have a significant impact on population growth, as it can either add to or subtract from a country's population. Age structure, or the proportion of the population in different age groups, can also affect population growth. For example, a country with a large proportion of young people may experience higher population growth than a country with an older population.

To know more about billion visit :-

https://brainly.com/question/15706347

#SPJ11

According to Weber's law, two items must differ in weight by "5 percent"of weight in order to detect a difference.

We are given that Weber's law

For weight discrimination, Weber’s law states that the JND is proportional to the weight of the stimulus.

The JND is defined as the smallest difference between two weights that can be detected by an observer.

The proportionality constant is known as Weber’s fraction and varies depending on the type of stimulus and the sensory modality involved.

For weight discrimination, Weber’s fraction is typically around 2-3%.

This means that two items must differ in weight by approximately 2-3% of their weight in order to detect a difference.

The difference of weight in percent is 5%, the correct option is A.

Learn more about percent here:

https://brainly.com/question/11549320

#SPJ4

i think its pi because im smarts thats why

\( \huge \mathbf{Answer࿐}\)

Area of Rhombus :

\(\boxed{ \frac{1}{2} \times diagonal_1 \times diagonal_2}\)

Correct option B. 42 cm²

_____________________________

\(\mathrm{ \#TeeNForeveR}\)

Categorical data are the sort of variable that would need utilizing a population proportion hypothesis test rather than a population mean hypothesis test.

Data that cannot be easily gathered by counting is referred to as categorical data, which is another name for qualitative data. Hypothesis testing may be used with this type of data. Data are used in hypothesis testing to draw conclusions about population characteristics.

The findings are reached after first proposing a null hypothesis. Therefore, for qualitative or categorical data, a hypothesis test of the population is performed rather than a numerical test of the population mean.

To know more about categorical data visit:

https://brainly.com/question/28542438

#SPJ4

Answer:

b

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Based on the formula of the quadratic function y=-x^2+6x-5, we know that its graph is a downward-facing parabola that opens wide, with a vertex at (3,-14), and an axis of symmetry at x=3.

Based on the formula of the quadratic function y=-x^2+6x-5, we can determine several properties of its graph, including its shape, vertex, and axis of symmetry.

First, the negative coefficient of the x-squared term (-1) tells us that the graph will be a downward-facing parabola. The leading coefficient also tells us whether the parabola is narrow or wide. Since the coefficient is -1, the parabola will be wide.

Next, we can find the vertex using the formula:

Vertex = (-b/2a, f(-b/2a))

where a is the coefficient of the x-squared term, b is the coefficient of the x term, and f(x) is the quadratic function. Plugging in the values for our function, we get:

Vertex = (-b/2a, f(-b/2a))

= (-6/(2*-1), f(6/(2*-1)))

= (3, -14)

So the vertex of the parabola is at the point (3,-14).

Finally, we know that the axis of symmetry is a vertical line passing through the vertex. In this case, it is the line x=3.

Know more about quadratic function here;

https://brainly.com/question/18958913

#SPJ11

Answer:

C) 25%

Step-by-step explanation:

let salt be 's'

let water be 'w'

\(\frac{s+1}{w+s+1} = 33\frac{1}{3} \\\\\frac{s+1}{w+s+1} = \frac{1}{3} \\\\\frac{w + s + 1}{3} = s+1\\\\3s +3 = w+s+1\\w = 2s+2\\\\\frac{s+1}{w+1+s+1} = \frac{3}{10} \\\\\frac{3(w+s+2)}{10} = s+1\\\\3w+3s+6 = 10s+10\\**w = 2s+2\\3(2s+2) + 3s + 6 = 10s+10\\\\6s+6+3s+6 = 10s+10\\9s+12 = 10s+10\\-s = -2\\s = 2\\\\w= 2s+2\\w=2*2+2\\w = 6\\\\\frac{2}{2+6} = \frac{2}{8} = 0.25\)

0.25 = 25%

Ratio analysis can be made more meaningful in all the following ways except by focusing more on long-term solvency than on short-term solvency.

Ratio analysis is a mathematical technique for analyzing a company's financial documents, such as the balance sheet and income statement, to gather knowledge about its liquidity, operational effectiveness, and profitability. Fundamental equity research is built on ratio analysis.

In order to get insights into profitability, liquidity, operational effectiveness, and solvency, ratio analysis examines line-item data from a company's financial statements.

Know more about Ratio analysis

https://brainly.com/question/28392725

#SPJ4

The full question:

ratio analysis can be made more meaningful in all the following ways except by?

The level of measurement is required of the independent variable (iv) and dependent variable (dv) to conduct a chi-square analysis is "the chi-squared test for independence."

A chi-square (X²) statistic is a test which compares a model to real observed data. A chi-square statistic requires data that is random, raw, mutually exclusive, obtained from independent variables, & drawn from a large enough sample. Tossing a fair coin, for example, meets these criteria.

Some key features regarding chi-square test are-

To know more about chi-square test, here

https://brainly.com/question/4543358

#SPJ4

The correctanswer is-the percentage of the pieces that will meet the length specs is 98.78%.

The given data may be a random variable that takes after the normal distribution with mean μ=64 and standard deviation σ=0.1

The required value is to discover the rate of the pieces that will meet the length specs which is between 63.76 and 64.24 inches.

To find the required percentage, standardize the given limits as follows: Lower Limit: (63.76 - μ) / σ= (63.76 - 64) / 0.1 = -2.4

Upper Limit: (64.24 - μ) / σ= (64.24 - 64) / 0.1 = 2.4

Using the Standard Normal Distribution Table, the probability that the value will fall between -2.4 and 2.4 is found to be 0.9878.

The required percentage is then found by multiplying the probability by 100, which is: Percentage = 0.9878 x 100% = 98.78%

Therefore, the percentage of the pieces that will meet the length specs is 98.78%.

know more about Normal Distribution

https://brainly.com/question/15103234

#SPJ11

A nonzero number is any number that is not equal to zero. . Examples of nonzero numbers include 1, -5, 2.71828, 0.001, -10/3, √2 etc.

A nonzero number is any number that is not equal to zero. This means that it has a numerical value that is greater than or less than zero. Zero itself is not considered a nonzero number because it does not have a positive or negative value.

For example, the number 7 is a nonzero number because it has a value of 7, which is greater than zero. Similarly, the number -3 is also a nonzero number because it has a value of -3, which is less than zero.

Nonzero numbers are important in many areas of mathematics and science, particularly in calculations involving multiplication, division, and fractions. For instance, if you have a nonzero number such as 5 and you want to divide it by another nonzero number such as 2, you would get a result of 2.5, which is also a nonzero number. If one of the numbers were zero, the result of the division would be undefined.

Learn more about nonzero number here

brainly.com/question/8513750

#SPJ4

Answer:

If you end up with a remainder of 0 , then you have a terminating decimal. Otherwise, the remainders will begin to repeat after some point, and you have a repeating decimal.

A repeating decimal has non-zero repeating values, while a terminating decimal ends in zero.

The slope of the median-median line for this dataset is 0.8.

To calculate the slope of the median-median line for this dataset, we need to first calculate the medians of both the x and y variables.

The median of the x variable is (15+16+18+19+20+22)/6 = 17.
The median of the y variable is (15+16+18+19+20+22)/6 = 17.

Next, we need to calculate the slopes of all the lines connecting the pairs of medians (x1,y1) and (x2,y2).
(x1,y1) = (15,16), (x2,y2) = (22,20), slope = (20-16)/(22-15) = 0.8
(x1,y1) = (15,16), (x2,y2) = (22,19), slope = (19-16)/(22-15) = 0.75
(x1,y1) = (15,16), (x2,y2) = (22,22), slope = (22-16)/(22-15) = 1.2
(x1,y1) = (15,18), (x2,y2) = (22,20), slope = (20-18)/(22-15) = 0.4
(x1,y1) = (15,18), (x2,y2) = (22,19), slope = (19-18)/(22-15) = 0.1667
(x1,y1) = (15,18), (x2,y2) = (22,22), slope = (22-18)/(22-15) = 0.6667

We then calculate the median of all these slopes to get the slope of the median-median line.

Median slope = (0.4, 0.6667, 0.75, 0.8, 1.2) = 0.8
Therefore, the slope of the median-median line for this dataset is 0.8.

Know more about the median-median line here:

https://brainly.com/question/27742366

#SPJ11

The estimator is unbiased only when the true parameter value matches the mean of the sampling distribution; otherwise, it is biased.

In part (a), the estimator is biased because the mean of the sampling distribution is different from the true parameter value. In part (b), the estimator is unbiased as the mean matches the true parameter value. In part (c), the estimator is biased again because the mean does not align with the true parameter value.

Bias refers to the tendency of an estimator to consistently overestimate or underestimate the true parameter value. An unbiased estimator has a sampling distribution with a mean that equals the true parameter value. In this case, we observe that the estimator is only unbiased when the true parameter value matches the mean of the sampling distribution. When the true parameter value deviates from the mean, the estimator becomes biased.

To know more about sampling distribution,

https://brainly.com/question/2289359

#SPJ11

Answer:

8/50

Step-by-step explanation:

2/10 x 4/5 = 8/50

Hope that helps!

The linear distance traveled in one revolution of a wheel can be calculated using the formula:

Circumference = π * Diameter

Given that the diameter of the wheel is 36 inches, we can substitute the value into the formula:

Circumference = π * 36 inches

Using an approximate value of π as 3.14159, we can calculate the circumference:

Circumference ≈ 3.14159 * 36 inches

Circumference ≈ 113.09724 inches

Therefore, the linear distance traveled in one revolution of a 36-inch diameter wheel is approximately 113.09724 inches.

If, as a result of change in price, quantity supplied for a certain good changes from 100 units to 50 units, it  results in a movement upward and to the right along a fixed supply curve. The correct answer is B

When the quantity supplied for a good changes in response to a change in price, it represents a movement along the supply curve. In this case, the decrease in quantity supplied from 100 units to 50 units indicates that suppliers are willing to supply fewer units at the given price.

This movement is upward and to the right along the fixed supply curve because as the price decreases, the quantity supplied also decreases.  The correct answer is B

Learn more about supply at https://brainly.com/question/14969957

#SPJ11

Answer:

C

Step-by-step explanation:

it takes 0.1 second to do 3 meters

Answer:

2/15 or 0.13

Step-by-step explanation:

Answer:

0.13328

Step-by-step explanation:

it's easier to write in that form