Emmett took a total of 69 pages of notes during 23 hours of class. In all, how many hours will Emmett have to spend in class before he will have a total of 72 pages of notes in his notebook? Solve using unit rates.

Given information: 20% of business majors major in finance. Suppose, we take a random sample of 3 business majors. We need to find the probability of only one of them majors in finance.

The probability of a success is defined as:P(success) = p = 20% = 0.20 The probability of failure is defined as:P(failure) = q = 1 - p = 1 - 0.20 = 0.80The total number of trials is given as:n = 3We need to find the probability of only one of them majors in finance. Therefore, the probability that only one student majors in finance is:P(X = 1) = nC₁p¹qⁿ⁻¹P(X = 1) = 3C₁(0.20)¹(0.80)³P(X = 1) = 3(0.20)(0.512)P(X = 1) = 0.3072

Therefore, the probability that only one student majors in finance is 0.3072 (approximately).Hence, the required probability is approximately 0.3072.

To know more about random  visit:-

https://brainly.com/question/30789758

#SPJ11

Answer:

Lea messed up on line one when you flip a fraction the exponents become negative hers haven't changed

Step-by-step explanation:

The total number of different collections of pets your roommate can take is 10 + 10 = 20.

In this scenario, your roommate has two options for which pets to take with him: either the dog or the cat. If he takes the dog, he can take any two of the remaining five pets (fish, turtle, rock, pony). There are 5 choose 2 = 10 ways for him to do this. If he takes the cat, he can take any two of the remaining five pets (fish, turtle, rock, pony, dog). There are 5 choose 2 = 10 ways for him to do this.

Therefore, the total number of different collections of pets your roommate can take is 10 + 10 = 20.

To learn more about permutation and combination, refer to the link:brainly.com/question/13387529

#SPJ4

Answer:

I can't tell if there is a negative sign there but if there is it's -1, if not 1

Step-by-step explanation:

x=1

1=1

After the shorthand statement x -= 1 is executed, the value of x will be 0. So, the correct option is option A. 0.

The "-=" operator is a shorthand notation for subtracting the right-hand side value (in this case, 1) from the left-hand side variable (x) and then assigning the result back to the left-hand side variable. So "x -= 1" is equivalent to "x = x - 1".

The expression x -= 1 is shorthand for x = x - 1, which subtracts 1 from the value of x and then assigns the result back to x.

In this case, since the initial value of x is 1, subtracting 1 from it gives a result of 0, which is then assigned back to x. So the final value of x is 0.

Therefore, the correct answer is A. 0.

Know more about shorthand notation here:

https://brainly.com/question/828315

#SPJ11

Answer:

100units^2

Step-by-step explanation:

Using pythagoras theorem, it states that 36+64= area of the unknown

Answer:

Shade to form a U shape

Step-by-step explanation:

U shape has only 1 line of symmetry

Answer:

6+x

Step-by-step explanation:

An expression is a set of operations without an equal sign. This question is asking which operation is being performed. The question states that there should be six more than x, this means 6 is being added to x. So, addition should be used to make the expression.

In the k-nearest neighbors method, setting the value of k to 1 means that the classification or prediction of a new observation is based solely on the single most similar observation from the training set. This approach is known as the 1-nearest neighbor algorithm.

The algorithm calculates the distance between the new observation and all other observations in the training set. The observation with the closest distance is considered the nearest neighbor. The class or prediction of the new observation is then assigned to the class or prediction of the nearest neighbor.

While this method can be effective in some cases, it can also lead to overfitting, as the algorithm is highly sensitive to noise and outliers in the training data. It is generally recommended to set k to a higher value, such as 5 or 10, in order to reduce the impact of individual observations and improve the accuracy of the model.

In conclusion, when k is set to 1 in the k-nearest neighbors method, the classification or prediction of a new observation is subject to the smallest possible amount of data and may not always provide accurate results. It is important to carefully consider the value of k and the quality of the training data when using this method.

To know more about Prediction visit :

https://brainly.com/question/31695230

#SPJ11

Answer:

Let me hep you then :)

Step-by-step explanation:

7/9 x 3/7 = 1/3 or 0.3

Have a nice day <3

Answer:

Fraction Form = 1/3

Decimal Form= 0.3 repeating or just 0.3

Step-by-step explanation:

Heres a free Quote  for you- “Believe you can and you're halfway there.”

Both functions are the solution to the given Laplace solution.

Given Laplace's equation: \(u_{x x}+u_{y y}=0\)

(1) \(u=e^{-x} \cos y-e^{-y} \cos x\)

Differentiate with respect to x as follows:

\(u_x=-e^{-x} \cos y+e^{-y} \sin x\\u_{x x}=e^{-x} \cos y+e^{-y} \cos x\)

Differentiate with respect to y as follows:

\(u_{x x}=e^{-x} \cos y+e^{-y} \cos x\\u_{y y}=-e^{-x} \cos y-e^{-y} \cos x\)

Supplement the values in the given Laplace equation.

\(e^{-x} \cos y+e^{-y} \cos x-e^{-x} \cos y-e^{-y} \cos x=0\)

The given function in this case is the solution to the given Laplace equation.

(2) \(u=\sin x \cosh y+\cos x \sinh y\)

Differentiate with respect to x as follows:

\(u_x=\cos x \cosh y-\sin x \sinh y\\u_{x x}=-\sin x \cosh y-\cos x \sinh y\)

Differentiate with respect to y as follows:

\(u_y=\sin x \sinh y+\cos x \cosh y\\u_{y y}=\sin x \cosh y+\cos x \sinh y\)

Substitute the values to obtain:

\(-\sin x \cosh y-\cos x \sinh y+\sin x \cosh y+\cos x \sinh y=0\)
The given function in this case is the solution to the given Laplace equation.

Therefore, both functions are the solution to the given Laplace solution.

Know more about Laplace's equation here:

https://brainly.com/question/14040033

#SPJ4

The correct question is given below:
Determine whether each of the following functions is a solution of Laplace's equation uxx + uyy = 0. (Select all that apply.) u = e^(−x) cos(y) − e^(−y) cos(x) u = sin(x) cosh(y) + cos(x) sinh(y)

Answer:

Yes

Step-by-step explanation:

\(d = \frac{d(10 {}^{k + p} - 10 {}^{k}) }{(10 {}^{k + p} - 10 {}^{k})} \)

where

Step-by-step explanation:

Greetings !

use the above formula to change any decimal into fraction form

Thus, plug in the value and solve

Hope it helps !

The area of the square is 1/4inches² in square inches

The area of a square is calculated by multiplying its two sides, that is area = s × s, where, 's' is one side of the square.

The square has side of length = 6/12

this can be simplified as 1/2

so

area of the square = (1/2 × 1/2) inches ²

area of the square = 1/4inches²

Thus, the area of the square is calculated using area = s × s, as 1/4inches²

Know about area of square here: https://brainly.com/question/24487155

#SPJ1

Answer:

C / ( 2 pi) = r

Step-by-step explanation:

C = 2 pi r

Divide each side by 2 pi

C /2 pi= 2 pi r / 2 pi

C / ( 2 pi) = r

Answer:

r = \(\frac{C}{2\pi }\)

Step-by-step explanation:

Given

C = 2πr ( isolate r by dividing both sides by 2π )

\(\frac{C}{2\pi }\) = r

Answer:

No, 18 7 10 are can not make a triangle.

Step-by-step explanation:

First of all, what does a Triangle?

A flat geometric figure that has three sides and three angles. OR something that has three sides and three angles a triangle of land.

Three sides form a triangle :  if sum of length of two sides is greater than the third side. But here

10+7=17 < 18.

That is the sum of two sides (10+7) is less than the third side i.e 18

So that 18 7 10 are can not make triangle.

Study more about triangles at : https://brainly.com/question/23454644?

#SPJ10

Answer:

18 7 10 are can not make a triangle.

Step-by-step explanation:

Definition of a Triangle

A figure that has three sides and three angles is knows as a triangle

And a property of a triangle is that the sum of length of two sides should always be greater than the third side.

We have given the length of sides as : 18 7 10

now check it :

(i) 18 + 7 = 25 which is greater than 10

(ii) 18 + 10 = 28 which is greater than 7

(iii) 7 + 10 = 17 which is lesser than 18

so  the sum of two sides (10+7) is less than the third side 18

Therefore 18 7 10 are can not make triangle.

Learn more about triangle here - https://brainly.com/question/11513125

#SPJ10

Answer: 0.6 + 1.25 = 1.85

0.6 + 1.85 = 2.45

To argue why the liberal arts are so important in education and leisure, one must discuss its Greek origin and how it is received today.

The term "liberal arts" comes from the Latin word "liberalis," which means free. It was used in the Middle Ages to refer to topics that should be studied by free people. Liberal arts refers to courses of study that provide a general education rather than specialized training. It encompasses a wide range of topics, including literature, philosophy, history, language, art, and science.The liberal arts curriculum is based on the idea that a broad education is necessary for individuals to become productive members of society. In ancient Greece, education was focused on developing the mind, body, and spirit.  

The study of the liberal arts is necessary to create well-rounded individuals who can contribute to society in meaningful ways. While the importance of the liberal arts has been debated, it is clear that they are more important now than ever before. The study of the liberal arts is necessary to develop the skills that are required in a rapidly advancing technological world.

To know more about Greek visit:

brainly.com/question/30200246

#SPJ11

The correct option is option a) The critical value depends on the number of categories, not the sample size.

The critical value for a chi-square test is determined by the level of significance (alpha) and the degrees of freedom (df). The degree of freedom is a function of the number of categories in the test, not the sample size. Therefore, increasing the sample size does not affect the critical value for a chi-square test.

The chi-square test is a statistical test used to determine whether there is a significant difference between the expected frequencies and the observed frequencies in one or more categories. It is used to test the independence of two categorical variables.

Therefore, The correct option is option a) critical value depends on the number of categories, not the sample size.

To know more about  the chi-square test refer to:

brainly.com/question/14082240

#SPJ4

Answer:

Step-by-step explanation:

Number of subset= \(2^{n}\)

Her, n is the number of elements in the set.

{p , e , t}

n = 3

Number of subset = 2³ = 2 * 2 *2 = 8

Answer:

Step-by-step explanation:

H(1 , -7)   ;L(x₂,y₂)

\(Midpoint =\left(\dfrac{x_{1}+x_{2}}{2}, \dfrac{y_{1}+_{2}}{2} \right)\\\\\\K(9 , 3)=\left(\dfrac{1+x_{2}}{2}, \dfrac{-7+y_{2}}{2} \right)\)

Compare x and y coordinates,

\(\dfrac{1+x_{2}}{2}=9\)           ; \(\dfrac{-7+y_{2}}{2}=3\)

1 + x₂ = 18           ; -7 + y₂ = 6

    x₂ = 18 - 1      ;        y₂ = 6 +7

    x₂  = 17         ;          y₂ = 13

L(17, 13)

Answer:

6.07

Step-by-step explanation:

I hope it helps!

In the year 2040, the populations of the two towns will be approximately equal.

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). For illustration, 2x - 5 = 13. 2x - 5 and 13 are expressions in this case. These two expressions are joined together by the sign "=".

To find the year when the populations of the towns will be approximately equal, we need to set the two equations equal to each other and solve for t:

8t² + 2000 = 100t + 3000

8t² - 100t - 1000 = 0

We can simplify this equation by dividing both sides by 4:

2t² - 25t - 250 = 0

Now we can solve for t using the quadratic formula:

t = (-b ± √(b² - 4ac)) / 2a

where a = 2, b = -25, and c = -250. Plugging in these values, we get:

t = (25 ± √(25² - 4(2)(-250))) / (2(2))

t = (25 ± √(9375)) / 4

t = (25 ± 97.0) / 4

So t = 30.25 or t = -6.25. We can ignore the negative solution since we're looking for a year after 2010. Therefore, the populations of the two towns will be approximately equal in the year:

2010 + 30.25 = 2040.25

So, in the year 2040, the populations of the two towns will be approximately equal.

Learn more about equation on:

https://brainly.com/question/22688504

#SPJ1

The conditional probability that a student is studying Spanish given that he or she is studying some language other than English is 0.634.

What is conditional probability?

Conditional probability is a metric for determining the likelihood of an event happening provided that another event has already happened.

According to the given question:

From the image we can see the probability of studying different languages.

Given probability of studying no languages is P(none) = 0.59

From this we can find the probability of studying another language using complement rule = 1 - P(none) = 1 - 0.59 = 0.41

It is given probability of studying Spanish P(Spanish) = 0.26

So the conditional probability of studying Spanish

= P(Spanish) / P(Studying another language)

= 0.26/0.41 = 0.634

Therefore  the conditional probability that a student is studying Spanish given that he or she is studying some language other than English is 0.634.

To learn more about conditional probability, follow the link.

brainly.com/question/10739997

#SPJ4

\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$1230\\ r=rate\to 3.19\%\to \frac{3.19}{100}\dotfill &0.0319\\ t=years\dotfill &3 \end{cases} \\\\\\ A = 1230[1+(0.0319)(3)] \implies \stackrel{balance}{\boxed{A \approx 1347.71}}~\hfill \underset{interest}{\stackrel{1347.71~~ - ~~1230}{\boxed{117.71}}}\)

Answer:

\(x = -20 ; y =-5\)

Step-by-step explanation:

Eqn. 1 ----> 4y = x

Eqn. 2 ----> 5x-10y = -50

(Simplifying eqn.2 further)

\(=>5(x-2y)=-50\)

\(=>x-2y=\frac{-50}{5} =-10\)

(Substituting the value of x from eqn. 1)

\(=>4y-2y=-10\)

\(=>2y=-10\)

\(=>y =\frac{-10}{2} =-5\)

Now, substituting the value of y in eqn. 1 ,

\(x = 4*(-5)=-20\)

The 95% confident interval for the true mean length of stay of all hospital patients is (3.716, 5.284) days.

To find a 95% confident interval for the true mean length of stay of all hospital patients, we can use the formula:

Confidence interval = sample mean ± margin of error

The margin of error is calculated as the product of the critical value and the standard error, where the critical value is determined based on the desired confidence level and the standard error is the standard deviation divided by the square root of the sample size.

Given:

Sample mean  = 4.5 days

Standard deviation (σ) = 4 days

Sample size (n) = 100

Confidence level = 95%

First, let's calculate the critical value. Since the sample size is large (n > 30), we can use the Z-table to find the critical value for a 95% confidence level. The critical value corresponds to a 2-tailed test, so we need to find the value that leaves 2.5% in each tail.

Looking up the Z-table, the critical value for a 95% confidence level is approximately 1.96.

Next, let's calculate the standard error:

Standard error (SE) = σ / sqrt(n)

SE = 4 / sqrt(100)

SE = 4 / 10

SE = 0.4

Now, we can calculate the margin of error:

Margin of error = critical value * standard error

Margin of error = 1.96 * 0.4

Margin of error = 0.784

Finally, we can construct the confidence interval:

Confidence interval = sample mean ± margin of error

Confidence interval = 4.5 ± 0.784

Confidence interval = (3.716, 5.284)

Know more about 95% confident interval here:

https://brainly.com/question/15683202

#SPJ11

Answer:

its the 2nd one

Step-by-step explanation:

just did it on edge

Answer: she made 4 bracelets.

Step-by-step explanation:

Let x, y, z are the number of three kinds of beads, where x= number of pink beads.

As per given, number of pink beads= half of total beads  

\(\Rightarrow\ x=\dfrac{1}{2}(x+y+z)\\\\\Rightarrow 2x= x+y+z\\\\\Rightarrow\ x= y+z\ \ \ ...(i)\)

Also, She used all pink beads,  Number of pink beads she used for each bracelet= one eighths of the total number of beads

\(\dfrac{1}{8}(x+y+z)\\\\=\dfrac{1}{8}(x+x)\ \ \ [ {\text{From (i)}}]\)

\(=\dfrac{1}{8}(2x)\\\\=\dfrac{x}{4}\)bracelets =

Number of bracelets = (Number of pink beads) ÷ (Number of pink beads used for each bracelet)

\(=\dfrac{x}{\dfrac{x}{4}}=4\)

Hence, she made 4 bracelets.

Answer:

29

Step-by-step explanation:

Answer:

58⁰

Step-by-step explanation:

So its given that angle BAD and angle DAC are equal

BAD+DAC=CAB

29+29= 58⁰