There is 46% hard working Elfs in the North Pole. there is 300 elfs in north pole. How many elfs are hard working

Answer:

An example is the following:  \(\sqrt{45}\)

Step-by-step explanation:

Simplify the radical: \(\sqrt{45}\)

1.We must write the radicand as a product, and then we must use the product property for simplicity.

The roof of \(\sqrt{45\) is equal =\(\sqrt{9 x 5}\)

2.We must use the property of the product: \(\sqrt {a} x \sqrt{b}\)

\(\sqrt{9x 5}\)=\(\sqrt{9} x\sqrt{5}\)

\(3\sqrt{5}\)

Answer:

106.

Step-by-step explanation:

7^2 + [ 81 - (4 x 6)]        First work out the exponential:

= 49 + (81 - (4 * 6)]         Work out the expression in the inner parentheses:

= 49 + [81 - 24]              Work out the expression in the parenthes:      

= 49 + 57                       Add:

= 106.

Sarah because she ate half of it and cole only afe 2 /5 which isn't even half So its B

The probability model for Stacy's spinner experiment can be created by dividing the number of times the pointer lands on each section by the total number of spins.

Based on the given data, the probabilities for each section are as follows: P(2) = 30/120 = 0.25, P(3) = 19/120 ≈ 0.16, P(4) = 25/120 ≈ 0.21, P(5) = 29/120 ≈ 0.24, and P(6) = 17/120 ≈ 0.14. To predict how many times Stacy would spin a 6 if she spun the pointer 50 times, we can use the probability model. The expected value or mean can be calculated by multiplying the probability of spinning a 6 (0.14) by the total number of spins (50). Therefore, the predicted number of times Stacy would spin a 6 is 0.14 * 50 = 7. The probability model allows us to estimate the likely outcomes of an experiment based on observed data. By understanding the probabilities associated with each outcome, we can make predictions about future events.

To learn more about probability  click here:  brainly.com/question/32117953

#SPJ11.

The required graph of the given line y = -(2/3)x + 1 is shown in the attached figure.

The equation of the line is given in the question as:

y = -(2/3)x + 1

First, we have to find the intercepts of the equation y = -(2/3)x + 1

The y-intercept is the value of y when the value of x is appropriately zero.

For x = 0

y = -2/3(0)+1

y = 1

The y-intercept is the point where (0.1)

Determine the x-intercept.

The x-intercept is the value of x when the value of y equals zero.

For y = 0

0 = (-2/3)x + 1

-1 = (-2/3)x

x = 3/2 or 1.5

The y-intercept is the point (1.5,0).

To graph, the line, draw the intercepts and connect the dots as indicated in the image.

As a result, the graph for the line y = -(2/3)x + 1 is provided below.

To learn more about the graph of lines click here :

brainly.com/question/28108550

#SPJ1

Answer:

17×6=102 because he gave 2 boxes to his brother so he have 6 boxes

The total area available for cars to park will be 858m².

The area of the parking lot will be:

= 78 × 19

= 1482m²

The area of aisle will be:

= 8 × 78

= 624m²

The available area will be:

= 1482m² - 624m²

= 858m².

The compact parking spaces that will fit in the lot will be:

N × 12.5 = 858

N = 858/12.5

N = 68

The non compact parking spaces that will fit in the lot will be:

N × 16.5 = 858

N = 858/16.5

N = 52

Learn more about area on:

brainly.com/question/7438648

#SPJ1

To simplify the expression 5√8 + √3, we can simplify each radical term separately and then combine them.

First, let's simplify the radical terms:

√8 can be simplified as 2√2 because 8 can be factored into 4 * 2, and √4 is equal to 2.

√3 cannot be simplified further since 3 is a prime number.

Now, let's substitute the simplified radical terms back into the expression:

5√8 + √3 becomes 5(2√2) + √3.

Next, we can multiply the coefficients outside the radicals:

5(2√2) is equal to 10√2.

Putting it all together, the simplified expression is:

10√2 + √3.

So, 5√8 + √3 simplifies to 10√2 + √3.

Answer:

1 full physical and 33 routine visits per day to maximize income for the day.

Maximum income is $2080.

Step-by-step explanation:

The doctor has 9 hours per day which equals to 9 x 60 = 540 minutes

If there are 10 physicals per day, the maximum minutes will be 45 x 10 = 450 minutes.

so the time left for routine office visits will be 540 - 450 = 90 minutes

then the number of routine office visits will be 90 / 15 = 6

Her income will be ($100 x 10) + ($60 x 6) = 1000 + 360 = $1360

If there is 1 physical per day, then the time will be 45 x 1 = 45 minutes

so time left for routine office visits will be 540 - 45 = 495 minutes

then the number of routine office visits will be 495 / 15 = 33

Her income will be ($100 x 1) + ($60 x 33) = 100 + 1980 = $2080

If there are 2 physicals per day, then the time will be 45 x 2 = 90 minutes

so time left for routine office visits will be 540 - 90 = 450 minutes

then the number of routine office visits will be 450 / 15 = 30

Her income will be ($100 x 2) + ($60 x 30) = 200 + 1800 = $2000

Answer:

Step-by-step explanation:

You want to maximize the doctor's income when she makes $60 for a 15-minute routine visit and $100 for a 45-minute physical. She can work 9 hours per day.

For a routine visit, the doctor is charging $60 for 15 minutes, or $4 per minute.

For a physical, the doctor is charging $100 for 45 minutes, or $2.22 per minute.

Clearly, the doctor earns income faster by spending her time doing routine office visits. There appears to be no limit on the number of those she can do.

Working 9 hours at $4 per minute, the doctor earns ...

  (9 h/day)(60 min/h)($4/min) = $2160/day

The number of routine visits in a day will be ...

  (9 h/day)(60 min/h)/(15 min/visit) = (9·60/15) visits/day = 36 visits/day

The doctor's maximum income is $2160 per day, making 36 routine office visits per day.

__

Additional comment

Each physical will reduce the doctor's income by $80. (In that 45 minutes, she could have done 3 routine visits, for a revenue of 3·60 = 180, instead of the physical for a revenue of 100.)

The equation that defines "f"  for the amount of medicine in the blood stream is f(x) = 0.75ˣ * f(0).

The mathematical function known as exponential decay can be used to illustrate a quantity's progressive decline over time. The quantity that is lost or decays in each unit of time is proportionate to the amount that is still present, which is defined by a constant relative rate of change. Exponential decay is frequently seen in physical, chemical, and biological systems, where it explains the ageing of a population or the deterioration of radioactive isotopes, soil minerals, drugs, or nutrients over time.

The following equation to model the situation:

\(f(t) = f(0) * e^{(-kt)}\)

where, f(0) is the initial amount of medicine

\(f(t) = f(0) * e^{(-k*1)} = 0.75\\\\f(0) * e^{-k} = 0.75\\\\\)

Taking ln on both sides:

-k = ln(0.75 / f(0))

k = -ln(0.75 / f(0))

Substituting this value of "k" back into the equation for "f(x)", we get:

f(t) = f(0) * (0.75 / f(0))ˣ

Simplifying this equation further, we get:

f(t) = 0.75ˣ * f(0)

Therefore, the equation that defines "f" is f(x) = 0.75ˣ * f(0).

Learn more about exponential function here:

https://brainly.com/question/14355665

#SPJ1

The complete question is:

Answer:

$24

Step-by-step explanation:

1/4x + 1/3x + 8 = 22

1/4x + 1/3x = 7/12x

7/12x + 8 = 22

22 - 8 = 14

7/12x = 14

14/ 7/12

x = 24

More variability in watching TV. b. Clare's estimate of 1.2 hours for homework is likely closer to the actual mean value.

Based on the information provided, it seems that there is more variability in how much time students spend watching TV rather than doing homework.

To determine which estimate is likely to be closer to the actual mean value for all the students at their school, we need to consider the variability of the data.

Learn more about variability

brainly.com/question/15078630

#SPJ11

Answer:

= £135

Step-by-step explanation:

Original price = 100%

Percentage increase = 20%

New price = 100% + 20% = 120%

If 120% = £162

What about 100% = ?

= (100 x 162) ÷ 120

= 16200 ÷ 120

= £135

Answer:

sh.129.60

Step-by-step explanation:

20%...€162

€162 times 80 over 100

€81 times 8....over 5

€648 divide 5

......ans...... €129.60

Answer:

12 should be 1 as in 1 foot. 1' 1/4"

Step-by-step explanation:

The equation (v²* r) / (2g) represents the object's mass, m.

To solve for the object's mass, m, in the equation v = (2gm)/r, we can rearrange the equation to isolate the variable m.

1. Start with the equation v²= (2gm)/r.
2. Multiply both sides of the equation by r to eliminate the denominator: v² * r = 2gm.
3. Divide both sides of the equation by 2g: (v² * r) / (2g) = m.

The equation (v²* r) / (2g) represents the object's mass, m. This is the  answer to the question.

To further understand the equation, let's break it down. The equation v² = (2gm)/r is derived from the principle of escape velocity, which is the minimum velocity needed for an object to escape the gravitational pull of the Earth.

In the equation, v represents the velocity of the object, r is the distance from the center of the Earth to the object, and g is the acceleration due to gravity. The constant g is approximately 9.8 m/s².

By solving for the object's mass, we can determine the mass required for the object to have a specific velocity at a given distance from the Earth's center.

In conclusion, to find the object's mass (m) in the equation v² = (2gm)/r, you can use the formula (v² * r) / (2g). This equation allows you to calculate the mass of an object required to achieve a certain escape velocity at a given distance from the Earth's center.

To know more about acceleration due to gravity visit:

brainly.com/question/16890452

#SPJ11

Answer:

awh i cant help u

Step-by-step explanation:

When words are strung together in speech, deviations from ideal pronunciation can occur due to various factors such as coarticulation, assimilation, elision, and reduced vowel sounds.

When words are spoken in rapid succession, coarticulation plays a significant role in shaping the pronunciation of individual words. Coarticulation refers to the influence of neighboring sounds on the production of a particular sound. For example, in the phrase "black cat," the /k/ sound in "black" may be influenced by the following /k/ sound in "cat," resulting in a slight modification or assimilation of the sound.

Assimilation occurs when sounds become more similar to nearby sounds. For instance, in the phrase "handbag," the /n/ sound in "hand" may assimilate to the /b/ sound in "bag," making it nasal (as in "hambag") or even causing complete elision of the /n/ sound. Elision refers to the omission or deletion of sounds, often in unstressed or weak positions, such as the reduction of the /ə/ vowel sound in "a" or "the" to a schwa sound, as in "uh" or "thuh."  

Additionally, when words are strung together, certain vowel sounds may be reduced or shortened to accommodate the natural rhythm of speech. This reduction can result in changes to the stress patterns and lengths of vowels within words. Overall, these deviations from ideal pronunciation in connected speech are a natural part of spoken language and contribute to the fluidity and efficiency of communication.

Learn more about deviation here:

https://brainly.com/question/31835352

#SPJ11

a) The values of X and Y that maximize the utility are X = 250 and Y = 125.

b) T he values of X and Y that maximize the utility using the Lagrangean method are X = 250 and Y = 125.

a) To find the values of X and Y that maximize the utility using the substitution method, we can start by substituting the budget constraint into the utility function.

Since the budget constraint is given by 2X + 4Y = 1000 (kr), we can rearrange it to solve for X: X = (1000 - 4Y)/2 = 500 - 2Y.

Now substitute this expression for X in the utility function: U(Y) = 100(500 - 2Y)Y + (500 - 2Y) + 2Y.

Expand and simplify the expression: U(Y) = 50000Y - 200Y^2 + 500 - 2Y + 2Y.

Combine like terms: U(Y) = -200Y^2 + 50000Y + 500.

To maximize the utility, we need to find the critical points. Take the derivative of U(Y) with respect to Y and set it equal to zero:

dU(Y)/dY = -400Y + 50000 = 0.

Solve for Y: Y = 50000/400 = 125.

Now substitute this value of Y back into the budget constraint to find the corresponding value of X:

2X + 4(125) = 1000,
2X + 500 = 1000,
2X = 500,
X = 250.



b) To find the values of X and Y that maximize the utility using the Lagrangean method, we need to set up the following equation:

L(X,Y,λ) = U(X,Y) - λ(2X + 4Y - 1000),

where λ is the Lagrange multiplier.

Taking the partial derivatives of L with respect to X, Y, and λ, we have:

dL/dX = 100Y + 1 - 2λ,
dL/dY = 100X + 2 - 4λ,
dL/dλ = -(2X + 4Y - 1000).

Setting these derivatives equal to zero, we have the following system of equations:

100Y + 1 - 2λ = 0,
100X + 2 - 4λ = 0,
2X + 4Y - 1000 = 0.

Solving this system of equations, we find:

λ = 1/2,
X = 250,
Y = 125.

Know more about the Lagrangean method,

https://brainly.com/question/4609414

#SPJ11

Answer:

8

Step-by-step explanation:

the numbers decrease by 1

Answer:

n

Step-by-step explanation:n

A Bernoulli distribution represents the probability distribution of a random variable with only two possible outcomes.

Three examples of Bernoulli rv's are as follows:

X = 1 if a randomly selected lightbulb needs to be replaced and X = 0 otherwise X = 1 if a randomly selected shopper purchases a food item at a department store and X = 0 otherwise X = 1 if a randomly selected day has a high temperature of over 100 degrees and X = 0 otherwise. These are the Bernoulli random variables. A Bernoulli trial is a random experiment that has two outcomes: success and failure. These trials are used to create Bernoulli random variables (r.v. ) that follow a Bernoulli distribution.

In Bernoulli's distribution, p denotes the probability of success, and q = 1 - p denotes the probability of failure. It's a type of discrete probability distribution that describes the probability of a single Bernoulli trial. the above three Bernoulli rv's that are different from those given in the text.

A Bernoulli distribution represents the probability distribution of a random variable with only two possible outcomes.

To know more about probability visit:

brainly.com/question/31828911

#SPJ11

None of the provided answer choices matches the correct solution, which is x + C.

To evaluate the integral ∫(1 dx), we can proceed as follows: The integral of 1 with respect to x is simply x. Therefore, ∫(1 dx) = x + C, where C is the constant of integration. Please note that the integral of 1 dx is simply x, and there is no need to introduce trigonometric functions or constants such as tan, sec, or cos in this case  Trigonometric functions are mathematical functions that relate angles to the ratios of the sides of a right triangle.  They are commonly used in various fields, including mathematics, physics, engineering.

Learn more about  solution here:

https://brainly.com/question/31772939?

#SPJ11

Therefore, the expected earnings of Irina's lemonade stand over the next 222 days is approximately $316.89 when rounded to the nearest cent.

To find the expected earnings of Irina's lemonade stand over the next 222 days, we need to calculate the expected value by multiplying the earnings for each possible outcome by their respective probabilities and summing them up.

Let's consider the table of earnings based on the number of rainy days:

Number of Rainy Days | Earnings

0 | $500

1 | $450

2 | $400

3 | $350

4 | $300

The corresponding probabilities for each outcome can be calculated using the given information that there is a 30% chance of rain for each day and the events are independent:

P(0 rainy days) = (1 - 0.30)^222 = 0.003607

P(1 rainy day) = 222 * 0.30 * (1 - 0.30)^221 ≈ 0.064528

P(2 rainy days) = (222 * 221 * (0.30)^2 * (1 - 0.30)^220) / 2 ≈ 0.230673

P(3 rainy days) = (222 * 221 * 220 * (0.30)^3 * (1 - 0.30)^219) / 6 ≈ 0.310392

P(4 rainy days) = (222 * 221 * 220 * 219 * (0.30)^4 * (1 - 0.30)^218) / 24 ≈ 0.280800

Now, we can calculate the expected earnings:

Expected Earnings = (P(0) * $500) + (P(1) * $450) + (P(2) * $400) + (P(3) * $350) + (P(4) * $300)

Expected Earnings ≈ (0.003607 * $500) + (0.064528 * $450) + (0.230673 * $400) + (0.310392 * $350) + (0.280800 * $300)

Expected Earnings ≈ $1.8035 + $28.9376 + $92.2692 + $108.6362 + $84.2400

Expected Earnings ≈ $316.8865

To know more about expected earnings,

https://brainly.com/question/14918805

#SPJ11

Using the binomial distribution, it is found that there is a 0.2373 = 23.73% probability that she does not wait for more than 10 minutes on all 5 roller coasters she rides at the amusement park.

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

The values of the parameters are given as follows:

n = 5, p = 0.25.

The probability that she does not wait for more than 10 minutes on all 5 roller coasters she rides at the amusement park is P(X = 0), hence:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{5,0}.(0.25)^{0}.(0.75)^{5} = 0.2373\)

More can be learned about the binomial distribution at https://brainly.com/question/24863377

#SPJ1

Answer:

F type connector

Step-by-step explanation:

Use an F-type connector for broadband cable connections that use coaxial cable.

The F connector is a coaxial RF connector commonly used for "over the air" terrestrial television, cable television and universally for satellite television and cable modems,

#SPJ4

Learn more on

https://brainly.com/question/14391417

F type connector

Learn more about wire here

https://brainly.com/question/15246898

#SPJ4

Given:

1st graph suits the equation.

Above graph is the final answer.