what is wrong with the equation? ​

Answer:

\(\frac{1}{3}\)

Step-by-step explanation:

you multiply the denominator with the denominator and the numerator with the numerator

\(\frac{5}{6}x\frac{2}{5}\)

\(\frac{5x2}{6x5}\)

\(\frac{10}{30}\)

\(\frac{1}{3}\)

Hopes this helps please mark brainliest

Answer:

The discount is $77, and the discount percent is 5%

Step-by-step explanation:

Discount: $1,540 - $1,463 = $77

Discount percent: $1,463 / $1,540 = 0.95, 1.00 - 0.95 = 0.05, 0.05 = 5%

Answer:

21 is 58°

22 is 108°

Step-by-step explanation:

add the measurements of the two angles making the larger angle

Answer:

∠ABC=58 degrees

∠LMN=108 degrees

Step-by-step explanation:

angle ABC=∠DBC+∠ABD

∠ABC=37+21=58 degrees

∠LMN= 85+23

∠LMN=108

Answer:

\(y=-x^{2}+2\)

Step-by-step explanation:

The equation for a parabola that opens down and has a vertex of (0,2) is \(y=-x^{2}+2\). Attached is an image of the parabola graphed.

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The expected value of this discrete probability distribution is 2.93, and the variance is 1.21.

To find the expected value of the discrete probability distribution for this four-sided fair die, we use the formula:

E(X) = Σ(xi * Pi)

where xi represents the possible outcomes of the die, and Pi represents the probability of each outcome. In this case, the possible outcomes are 1, 2, 3, and 4, with probabilities of 9/30, 4/30, 7/30, and 10/30 respectively.

Therefore, the expected value of X is:

E(X) = (1 * 9/30) + (2 * 4/30) + (3 * 7/30) + (4 * 10/30) = 2.93

To find the variance, we first need to calculate the squared deviations of each outcome from the expected value, which is given by:

\((xi - E(X))^2 * Pi\)

We then sum up these values to get the variance:

\(Var(X) = Σ[(xi - E(X))^2 * Pi]\)

This calculation gives a variance of approximately 1.21.

Therefore, the expected value of this discrete probability distribution is 2.93, and the variance is 1.21.

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From the counting principal, the possible formed distinct 3 digit numbers from the digits 1,2,3,4 with repititions is equals to the 64 ways.

W have a total number of digits = 4 = {1,2,3,4}

We have to form three digit number with repetition.

The unit’s place can be filled by any of the four digits. Since, the repetition of the digits is allowed, thus, the remaining two places that are ten’s and hundred’s places can also be filled by any of the four digits. So, the number of ways in which the three-digit numbers can be formed from these digits can be calculated by multiplication principle which states that if an event can occur in m different ways and follows another event that can occur in n different ways, then the total number of occurrence of the events in the order is m×n. Since, each place have 4 ways to obtain any of digit.

The total number of ways to form three digit numbers with repetition is = 4³ = 64

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The foot of the ladder will slide by 8 feet.

The ladder will form a right angled triangle -

hypotenuse² = base² + perpendicular²

We have hypotenuse as 25 feet, base as 7 feet and we will find perpendicular.

P² = 25² - 7²

P² = 625 - 49

P² = 576

P = ✓576

P = 24 foot

After slipping, the perpendicular will decrease by 4 feet

New vertical height = 24 - 4

New vertical height = 20 feet

B² = 25² - 20²

B² = 625 - 400

B² = 225

B = ✓225

B = 15 foot

Slided distance = 15 - 7

Slided distance = 8 feet

Thus, ladder will be 15 foot away now and 8 feet away from older distance.

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Answer:

11

Step-by-step explanation:

It is a whole number and a postive integer

Answer: -14

Step-by-step explanation:

Jeri's reservation wage is $39.8 per week. Jack's optimal choice of hours of leisure is 66.42 hours per week.

For Jeri's reservation wage, we need to find the wage rate at which she would be indifferent between working and not working. Her marginal utility of leisure is given as MUL = 451L^0.1, and her marginal utility of consumption is UU = 4C^0.5. To find the reservation wage, we equate the marginal utility of leisure to the marginal utility of consumption and solve for the wage rate.

Similarly, for Jack's optimal choice of hours of leisure, we need to maximize his utility by choosing the right balance between leisure and work. His marginal utility of consumption is given as MU C = L - 49, and his marginal utility of leisure is MU L = C - 162. We can set up a utility maximization problem by equating the marginal utilities of leisure and consumption and solve for the optimal hours of leisure.

The total number of employed males in the civilian labor force in the U.S. in 2020 can be obtained from the Bureau of Labor Statistics (BLS) website. Without the specific data available, we cannot provide an accurate answer to the number of employed males in 2020. It is recommended to refer to the BLS website or their published reports for the most up-to-date and accurate information.

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Answer:

2:3

Step-by-step explanation:

2a/3a a is out

cya a

The ratio 2a/3a in the simplest form is 2/3.

Ratio is the way to compare one thing that is related to another thing.

Simplifying ratio means reducing its terms to the lowest possible digits by dividing them with the possible common factor

For example if we have a ratio 3/6 then we divide both terms by 3 to get 3/6 = 1/2 which is the simplest form of ratio 3/6

Given that a ratio 2a/ 3a

2 and 3 have nothing in common . therefore a is the common factor between 2a and 3a

Then divide the terms of ratio by a

⇒ 2a/ 3a = (2a/a)/(3a/a) = (2/1)/(3/1) = 2/3

Therefore, the simplest form of the ratio 2a/3a is 2/3.

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Each time X increases, there is a perfectly predictable increase in Y  is indicated by a Pearson correlation of r= +1.00 between X and Y

A Pearson correlation coefficient of +1.00 indicates a perfect positive linear relationship between the variables X and Y. It means that as X increases, Y increases in a perfectly predictable manner. The correlation coefficient of +1.00 indicates a strong and direct relationship between the two variables, where the values of Y can be precisely determined based on the values of X.

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In a poll conducted by a certain research​ center, 1046 adults were called after their telephone numbers were randomly generated by a​ computer, and were able to correctly identify the random sampling.

Each sample has an equal chance of being chosen as part of the sampling technique known as random sampling. A randomly selected sample is intended to be a fair representation of the entire population.

In statistics, a simple random sample is a subset of people chosen at random from a larger group, all of whom were chosen with the same probability. It is a procedure for randomly choosing a sample.

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The boxplot which is reasonable to the summary of the data used to create the histogram is equals to boxplot A. So, correct answer is option (c).

Histogram is a graph which discribes the distribution of data by using of bars of different heights and same width. In this problem, we'll have a histogram and 3 box plots as box plot A, box plot B and box plot C, and we have to choose here which of these 3 box spots is a reasonable summary of the data. We can see that the histogram in above figure is skewed to left because it's maximum data present on the right end. The box plot C, is representing a normally distributed data, but are data is right side distributed so, it is wrong. Similarly, as we see box plot B shows distribution of data in left end, which is also not right choice. So, boxplot A is correct because it's showing the maximum data and the median where we have. We can see the median line over her median on the right hand. Thus, data is very highly negatively skewed hence boxplot A is appropriate.

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Complete question:

See the above figure, which box plot a, b, or c is a reasonable summary of the data used to create the histogram? there are 16 data points.

a) boxplot C

b) boxplot B

c) boxplot A

Answer:

Step-by-step explanation:

Given:

Mean=9

Median=8

Mode=7

Range=6

Find:

a,b,c,d(four integers)

Acc. to the formula

Mean=a+b+c+d/4

i.e., a+b+c+d/4=9

      a+b+c+d=9*4

      a+b+c+d=36   (eq.1)

Median = (b+c)/2

i.e., (b+c)/2=8

      (b+c)=16       (eq.2)

According to eq.1 & eq.2

      a+d=20     (eq.3)

       d-a=6       (eq.4)

by adding eq.3 & eq.4

2d=26

i.e., d=13

that makes a= 7

Now there are two possibilities i.e., 7,7,9,13 or 7,9,7,13

Answer:210

Step-by-step explanation:

The Power series representation of f(x) = \(x^8tan^-^1x^3\) is \($$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^1^1}{2n+1}\)

The Maclaurin series expansion method can be used to get the power series of such functions if the function has a composite part, such as the multiplication or quotient form.

An infinite series in mathematics known as a "power series" can be compared to a polynomial with an infinite number of terms.

The Maclaurin series will be used in this instance to expand the function:

\(tan^-^1x\) = \($$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^2^n^+^1}{2n+1}\)

and for    \(tan^-^1x^3 = $$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{(x^3)^2^n^+^1}{2n+1}\)

=>  \(tan^-^1x^3 = $$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^3}{2n+1}\)  -------(i)

and f(x) = \(x^8tan^-^1x^3\)

now we need to multiply \(x^8\) in the above equation to get the power series expansion of f(x)

\(x^8tan^-^1x^3\) = \(x^8\) \($$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^3}{2n+1}\)

=> \($$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^3^+^8}{2n+1}\)

=>  \($$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^1^1}{2n+1}\)

so the expansion of f(x) = \(x^8tan^-^1x^3\) is \($$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^1^1}{2n+1}\)

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The Probability Density Function (PDF) for a uniform distribution ranging between 3 and 5 is 0.5. Answer is option C.

In a uniform distribution, the probability of a random variable taking any value between the two endpoints of the interval is constant. The probability density function (PDF) of a uniform distribution is a constant value over the range of possible values, and is 0 outside that range. In this case, the PDF for the uniform distribution ranging between 3 and 5 is 0.5, which means that the probability of the random variable taking any value between 3 and 5 is the same, and is equal to 0.5.

The PDF being a constant value of 0.5 implies that the distribution is symmetric, with equal probability of the random variable taking any value between the two endpoints. Thus, option C is answer.

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The probability that a randomly selected elementary school teacher earns more than $555 a week is approximately 0.8238 or 82.38%.

We can use the standard normal distribution to solve this problem by standardizing the value of $555 and finding its corresponding probability.

The standardized value of $555 is:

z = (x - μ) / σ = (555 - 595) / 43 = -0.93

where x is the weekly salary we're interested in, μ is the mean weekly salary, and σ is the standard deviation of weekly salaries.

We can now look up the probability of a standard normal random variable being greater than -0.93 in a standard normal distribution table, or use a calculator or statistical software. The probability is approximately 0.8238.

Therefore, the probability that a randomly selected elementary school teacher earns more than $555 a week is approximately 0.8238 or 82.38%.

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Answer:

⅓ ×½ which will give you ⅙

Step-by-step explanation:

because

The probability that Manu will win the coin flip amongst others is 4/7

To determine the probability that Manu will win, we need to consider the possible outcomes of the coin flips.

Let's break down the scenarios:

Scenario 1: Manu wins on the first flip

- The probability of Manu winning on the first flip is 1/2, as he needs to flip heads right away.

Scenario 2: Manu wins on the second flip

- Juan flips tails (1/2 probability)

- Carlos flips tails (1/2 probability)

- Manu flips heads (1/2 probability)

- The probability of Manu winning on the second flip is (1/2) * (1/2) * (1/2) = 1/8.

Scenario 3: Manu wins on the third flip

- Juan flips tails (1/2 probability)

- Carlos flips tails (1/2 probability)

- Manu flips tails (1/2 probability)

- Juan flips heads (1/2 probability)

- Carlos flips heads (1/2 probability)

- Manu flips heads (1/2 probability)

- The probability of Manu winning on the third flip is (1/2) * (1/2) * (1/2) * (1/2) * (1/2) * (1/2) = 1/64.

The pattern continues, and we can see that Manu's probability of winning decreases exponentially with each subsequent flip.

Therefore, the total probability of Manu winning is the sum of the probabilities from each scenario:

1/2 + 1/8 + 1/64 + ...

This is an infinite geometric series with a first term (a) of 1/2 and a common ratio (r) of 1/8.

Using the formula for the sum of an infinite geometric series:

Sum = a / (1 - r)

Sum = (1/2) / (1 - 1/8)

Sum = (1/2) / (7/8)

Sum = (1/2) * (8/7)

Sum = 4/7

Therefore, the probability that Manu will win is 4/7.

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The appropriate hypotheses for Timmy's investigation are: c) H0: μ1 – μ2 = 0, Ha: μ1 – μ2 ≠ 0.

In hypothesis testing, the alternative hypothesis (also known as the research hypothesis) proposes that there is a difference or relationship between variables being studied, while the null hypothesis assumes that there is no significant difference or relationship.

In the context of travel time between route 1 and route 2, the alternative hypothesis suggests that there is a difference in the average travel time between the two routes. It implies that one route is expected to have either a shorter or longer travel time compared to the other.

On the other hand, the null hypothesis assumes that there is no significant difference in travel time between the two routes. It proposes that any observed difference in travel time between the routes is due to random chance or sampling variability, rather than a true difference.

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Answer:

A checking account

Step-by-step explanation:

It's called a checking account

Answer:

The method that is valid in finding the unit rate for a proportional relationship is by:

Look at the graph of the relationship. Count the number of units up and the number of units to the right one must move to arrive at the next point on the graph. Write these two numbers as a fraction. The unit rate is the slope, which is the rise over run.

Step-by-step explanation:

7. The percentage of the seats taken by 18,460 attendees out of 34,000 capacity spectators of the Bidvest Wanderers Cricket Stadium is 54%.

8. If a bus can seat 60 passengers and some passengers got off, leaving 0.4 of the seats occupied, the number of passengers who got off the bus is 36, representing 60 percent.

9a) The population that speak Mandarin more than English is 526,200,000.

9b) If the world population is approximately 7 000 000 000 (7 billion), the percentage of the entire population that speaks Spanish is 5.00%.

The percentage represents the ratio of one value compared to another.

The percentage is determined as the quotient from dividing the numerator by the denominator and multiplying by 100.

7) The spectator capacity of the Bidvest Wanderers Cricket Stadium = 34,000

Attendees at a one-day match = 18,460

Percentage of seats taken = 54.3% (18,460/34,000 x 100)

8) Bus passenger capacity = 60

The percentage of seats occupied = 0.4

The number of passengers who got off the bus = 36 (60 x (1 - 0.4)

9) Most Commonly Spoken World Languages:

Mandarin 867 200 000 people

English 341 000 000 people

Spanish 350 000 000 people.

a) The more Mandarin speakers than English = 526,200,000 (867,200,000 - 341,000,000)

b) World Population = 7 billion

Percentage of Spanish speakers to World Population = 5.00% (350,000,000/7,000,000,000 x 100)

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Answer:

BE = 17

Step-by-step explanation:

We Know

BC = 12 and CE = 15

Find BE.

We Take

12 + 15 = 27

So, BE = 17

She will need 5 3/5 cups of cranberry juice to make a punch for the school if Molly uses 1 2/5 quarts of lemonade.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given that,

To make the recipe,

3/4 quart of lemonade and 3 cups of cranberry juice

The ratio of cranberry juice to a quart of lemonade

⇒ 3/(3/4) = 4

To make the same recipe with 1(2/5) quarts of lemonade the ratio of cranberry juice to a quart of lemonade must be maintained.

So,

4 = cranberry juice / 1(2/5)

(5/7) × cranberry juice = 4

Cranberry juice = 28/5 ⇒ 5 (3/5).

Hence "She will need 5 3/5 cups of cranberry juice to make a punch for the school if Molly uses 1 2/5 quarts of lemonade".

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Two organ systems that help maintain homeostasis after exercise are the respiratory system and the cardiovascular system.

1. Respiratory System:

During exercise, the increased activity of muscles leads to an increased demand for oxygen, and as a result, the cells produce more carbon dioxide (CO2) as a byproduct of cellular respiration. The respiratory system plays a vital role in maintaining homeostasis by regulating the levels of oxygen and carbon dioxide in the body.

After exercise, the respiratory system responds by increasing the rate and depth of breathing. This elevated ventilation allows for a greater intake of oxygen from the inhaled air. The oxygen-rich air enters the lungs, where it diffuses across the thin walls of the alveoli and into the bloodstream. Simultaneously, the increased ventilation facilitates the removal of carbon dioxide from the bloodstream into the alveoli, ready to be exhaled.

By adjusting the rate and depth of breathing, the respiratory system helps restore homeostasis by replenishing oxygen levels and eliminating excess carbon dioxide. This ensures that the body's cells receive the necessary oxygen for energy production while preventing the buildup of carbon dioxide, which can be detrimental if allowed to accumulate.

2. Cardiovascular System:

The cardiovascular system, composed of the heart, blood vessels, and blood, works in conjunction with the respiratory system to maintain homeostasis after exercise. Its primary function is to deliver oxygen and nutrients to the tissues while removing waste products, including carbon dioxide.

During exercise, the cardiovascular system responds to the increased demand for oxygen and the accumulation of carbon dioxide. The heart rate increases, leading to a higher cardiac output. The cardiac output is the amount of blood pumped by the heart per minute, and it increases to meet the heightened oxygen requirements of the active muscles.

As the heart pumps more vigorously, blood flow to the muscles is enhanced. This allows for the delivery of oxygen and nutrients to the working tissues, promoting their optimal function. Simultaneously, the increased blood flow facilitates the removal of carbon dioxide produced during exercise.

The blood vessels also play a role in maintaining homeostasis after exercise. They undergo vasodilation, which means the blood vessels widen to accommodate the increased blood flow to the muscles. This vasodilation helps dissipate heat generated during exercise and allows for efficient oxygen and nutrient delivery to the tissues.

Together, the respiratory system and the cardiovascular system work synergistically to maintain homeostasis after exercise. The respiratory system ensures an adequate supply of oxygen and the elimination of excess carbon dioxide, while the cardiovascular system delivers oxygen and nutrients to the tissues while removing waste products. This coordinated effort helps restore the body's internal balance and supports efficient cellular function.

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Multiply 5/6 by 3/10 (to do this, multiply the numerator by the numerator and the denominator by the denominator).

Perform the multiplications in the previous fraction.

Reduce the fraction 15/60 to its lowest expression by extracting and canceling 15.

Answer:

\(\frac{1}{4}\)

Step-by-step explanation:

\(\frac{5}{6}\) X \(\frac{3}{10}\) = \(\frac{15}{60}\)  Just multiply the top numbers (numerators) and multiply the bottom numbers (denominators) across.

To simply, you can divide the top and bottom numbers by 15

\(\frac{15}{60}\) ÷\(\frac{15}{15}\) =\(\frac{1}{4}\)