rounded to the nearest tenth, what is the length of LN? sin(20°) = LN/8
(8)sin(20°) = LN

Answer: 1/4

Step-by-step explanation:

0.75 liters is the same as 750 grams.

So, the total mass of the mixture is \(300+150+750=1200\) g.

This means the ratio is \(\frac{300}{1200}=\frac{1}{4}\).

Answer:

Flour : total mass = 1 : 4

Step-by-step explanation:

Given ingredients for the cake:

First convert the mass of the water to the same SI units as the other ingredients.

1 liter = 1000 g

⇒ Water = 0.75 liters = 750 g

Total mass of the mixture:

= flour + sugar + water

= 300 g + 150 g + 750 g

= 1200 g

Therefore, the flour to total mass ratio is:

⇒ Flour : total mass = 300 : 1200 = 1 : 4

The required percentage increase is 81%.We need to increase the sample size by 81%.

Suppose a random sample of size n is required to produce a margin of error of\($\pm E$.\)

The margin of error is given by the formula :

\($E=\frac{z_{\frac{\alpha}{2}}\sigma}{\sqrt{n}}$$\frac{z_{\frac{\alpha}{2}}\sigma}{E}=\sqrt{n}$.\)

The above equation  is considered as equation(1)

So, for margin of error

\(, $\pm\frac{9}{10}E$,$\frac{z_{\frac{\alpha}{2}}\sigma}{\frac{9}{10}E}=\sqrt{n_1}$\)

The above equation  is considered as equation (2)

Divide equation (2) by (1) to find the increase in percent.

\($\frac{\frac{z_{\frac{\alpha}{2}}\sigma}{\frac{9}{10}E}}{\frac{z_{\frac{\alpha}{2}}\sigma}{E}}=\frac{\sqrt{n_1}}{\sqrt{n}}$ $ \Rightarrow\frac{1}{\frac{9}{10}}=\frac{\sqrt{n_1}}{\sqrt{n}}$$\Rightarrow\frac{\sqrt{n}}{\sqrt{n_1}}=\frac{10}{9}$ $\Rightarrow\frac{n}{n_1}=\left(\frac{10}{9}\right)^2$$\Rightarrow\frac{n_1}{n}=\frac{81}{100}$\)

We need to increase the sample size by

\($\frac{n_1}{n}=\frac{81}{100}=81\%$\)

To know more about sample size,visit:

https://brainly.com/question/30100088

#SPJ11

Answer:

x divided 6= the amount of cookies they each get

Step-by-step explanation:

Answer:

You Need To Divide "x" Divided By 6 To Find The Answer. Hope This Helps.

To calculate the probability that at least 8 participants from one group complete the study while fewer than 8 do so from the other group, we need to use the binomial distribution. The probability can be obtained by summing the probabilities of different combinations of successful and unsuccessful trials.

Let's denote the probability of a participant dropping out before the end of the study as p = 0.28. The probability of a participant completing the study is then q = 1 - p = 0.72.
We can consider two cases: 1) at least 8 participants from group A complete the study and fewer than 8 from group B, and 2) at least 8 participants from group B complete the study and fewer than 8 from group A.
Case 1: At least 8 participants from group A complete the study and fewer than 8 from group B.
The probability of this event can be calculated as the sum of probabilities for 8, 9, and 10 participants from group A completing the study while fewer than 8 do so from group B. For each case, we calculate the probability using the binomial distribution formula:
P(X = k) = C(n, k) * p^k * q^(n-k)
Case 2: At least 8 participants from group B complete the study and fewer than 8 from group A.
We follow the same approach as in Case 1, but now we consider the probabilities for group B instead.
By summing the probabilities from both cases, we obtain the final probability that satisfies the given condition.
To calculate the specific probability, we need additional information, such as the total number of participants in each group (n) or the proportions of participants in the groups. Please provide the necessary information to proceed with the calculation.

Learn more about binomial distribution here
https://brainly.com/question/10741251

 #SPJ11

The expression that best represents the phrase below.

"the number of fish divided evenly among 5 aquariums" is

The expression that suits the phrase is derived by understanding the meaning of the phrase

The phrase "the number of fish divided evenly among 5 aquariums" means dividing fishes equally among 5 aquariums.

Let the number of fishes be f using the division operation, the division operator ensures that the division is even for the aquariums. hence  we have

= the number of fishes ÷ divided by the number of aquarium

= f ÷ 5

hence option E is the correct one

Learn more on division at:

https://brainly.com/question/28119824

#SPJ1

9514 1404 393

Answer:

  $68.00

Step-by-step explanation:

Let s represent the opening price. Then the closing price is ...

  s - 3.25% × s = $65.79

  s(1 -0.0325) = $65.79 . . . . collect terms

  0.9675s = $65.79 . . . . . . . simplify

  s = $65.79/0.9675 . . . . . . .divide by the coefficient of s

  s = $68.00 . . . . . the opening stock price

Answer:

area of parallelogram=base×height=21×9=189cm²

Answer:

a = 64

Step-by-step explanation:

The geometric mean of 2 numbers a and b is \(\sqrt{ab}\) , then

\(\sqrt{28a}\) = 16\(\sqrt{7}\) ( square both sides )

28a = (16\(\sqrt{7}\) )² = 1792 ( divide both sides by 28 )

a = 64

Answer:

a = 64

Step-by-step explanation:

The geometric mean for two numbers is given by :

GM = sqrt(ab)

16 sqrt(7) = sqrt(a*28)

Square each side

(16 sqrt(7))^2 = (sqrt(a*28))^2

256*7 = 28a

1792 = 28a

Divide each side by 28

1792/28 = 28a/28

64 = a

Using the numbers to indicate their locations as pairs of x and y values. Euclidean distance is used to measure all distances.

a. Using the k-means algorithm, we can group the points into three clusters based on their initial cluster centers. The first cluster consists of the points (18, 10), (21, 11), (22, 22), (24, 15), (26, 12), and (26, 13), the second cluster consists of the points (27, 14), (40, 27), (41, 29), (42, 20), and (44, 28), and the third cluster consists of the points (30, 33), (31, 39), (35, 37), (39, 44), (46, 21), (47, 30), (48, 31), and (49, 23).

The silhouette approach, which compares how similar each point is to the points in its own cluster to the points in other clusters, can be used to assess the quality of the clusters. A high silhouette value denotes a well-clustered point, while a low silhouette value denotes a possible incorrect cluster assignment.

b. In hierarchical agglomerative clustering, we first create individual clusters for each point, which are then combined to create a single cluster that contains all of the points. Depending on how they calculate the separation between clusters, the three distinct link approaches will result in a variety of clustering outcomes.

The minimal distance between any two points in each of the two clusters is used by single link to calculate the separation between the clusters. Because it only takes into account the closest pair of points, this can lead to long, thin clusters.

The distance between the clusters is calculated using the maximum distance between any two points in the two clusters. Due to the fact that it only takes into account the farthest pair of points, this can lead to compact, spherical clusters.

The average link calculates the separation between the two clusters by averaging out all of the distances between the points in the two clusters. This takes into account all possible pairs of points and may lead to clusters with more symmetrical shapes.

In general, a single link will create clusters that are the most compact, a complete link will create clusters that are the most spherical, and an average link will create clusters that are more evenly shaped.

To learn more about clustering: https://brainly.com/question/27848870

#SPJ4

Answer:

8cm

Step-by-step explanation:

length × height

4×2 = 8cm

Answer:

50 m^2

Step-by-step explanation:

4 cm = 10 m

2 cm = 5 m

10 x 5 m = 50 m^2

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

The value of the inequality is ( 45/4 , 19/4 )

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.

According to the given information

Number of hours spent in washing cars = x

Number of hours spent in clearing tables = y

Amount paid per hour for washing the car = $7

Amount paid per hour for clearing the tables = $15

Earnings

7x + 15y ≥ 150

x + y ≤ 16

7x + 15y = 150 ........ (i)

x + y = 16 ........(ii)

Multiply (ii) by 7

7x + 7y = 112 ..... (iii)

Subtract (i) and (iii)

8y = 38

y = 19/4

Putting the value of y in (ii)

x + 19/4 = 16

x = 16 - 19/4

x = 45/4

The value of the inequality is ( 45/4 , 19/4 )

To know more about Inequalities

https://brainly.com/question/29166625

#SPJ1

The sandbox will not be covered. 450ft² is the area of the shredded tire portion of the playground.

Modern mathematics heavily relies on the concept of area. A two-dimensional figure, form, or planar lamina's area is a measurement of how much space it takes up in the plane. Simply put, the area is the amount of fabric or material with the specified thickness needed to build an accurate representation of the shape and the quantity of paint required to cover the shape's surface in a single layer, or one coat.

area = 15×30

       =450ft²

To know more about area, here:

https://brainly.com/question/12187609

#SPJ1

Answer:

-2

Step-by-step explanation:

In the expression  \(8xy + 9x^2y -5x -2\)

Therefore, the constant term is -2

Answer: -2  is the constant term in the expression 8xy + 9x2 y − 5x − 2

Step-by-step explanation:

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

here, we have,

the expression 8xy + 9x2 y − 5x − 2

now, we know that,

constant is the number with no variable attached to it.

-2  is the constant term in the expression 8xy + 9x2 y − 5x − 2.

A person leaves their home at noon walking toward a restaurant located 16 miles away If the person walks constantly at 2.5 miles per hour, the person arrive at the restaurant at 6:24 PM.

To determine the time it will take for the person to arrive at the restaurant, we can use the formula:

Time = Distance / Speed

Given:

Distance to the restaurant = 16 miles

Walking speed = 2.5 miles per hour

Substituting these values into the formula, we can calculate the time:

Time = 16 miles / 2.5 miles per hour

Time = 6.4 hours

Since we know the person leaves their home at noon, we can add the calculated time to noon to find the arrival time:

Arrival Time = Noon + 6.4 hours

To express the arrival time in a standard 12-hour clock format, we convert 6.4 hours into hours and minutes:

0.4 hours * 60 minutes/hour = 24 minutes

So, the person will arrive at the restaurant at approximately 6 hours and 24 minutes after noon.

Therefore, the person will arrive at the restaurant at approximately 6:24 PM.

To know more about Speed, visit:

https://brainly.com/question/17661499

#SPJ11

The approximate circumference of spaceship Earth is 160m

The formula for calculating the volume of a sphere is given as;

V = 4/3 πr³

Given that;

Now, substitute the values

65417 = 1. 3 ×3.14r³

Multiply the values

65417 = 4. 082r³

Make r the subject

r³ = 16025. 722

Find the cube root

r = 25. 2m

The circumference is expressed as;

Circumference = 2πr

Substitute the values, we have;

Circumference = 2× 3.14 × 25.2

Circumference = 160 m

Learn about spheres at: https://brainly.com/question/22807400

#SPJ1

The probability that the coin is fair given that it lands heads is 0.3571.

Given that a coin is picked from the box and flipped, the probability of the coin being fair is 1/3.

The probability of the coin being biased towards heads and the coin being biased towards tails is 1/3.

Therefore, the probability that the coin is fair and lands heads is (1/3) x 0.5

= 0.1667.

The probability that the coin is biased towards heads and lands heads is (1/3) x 0.8

= 0.2667.

The probability that the coin is biased towards tails and lands heads is (1/3) x 0.1

= 0.0333.

Therefore, the total probability that the coin lands heads is 0.1667 + 0.2667 + 0.0333

= 0.4667.

Using Bayes' Theorem, the probability of the coin being fair given that it lands heads is:

P(fair|heads)

= P(heads|fair) * P(fair) / P(heads)

= 0.5 * 1/3 / 0.4667

= 0.3571.

Thus, the probability that the coin is fair given that it lands heads is 0.3571.

To know more about probability visit:

https://brainly.com/question/31828911

#SPJ11

Answer:

16 months

Step-by-step explanation:

1/2 = 8 (multiply 2 to both sides of the equation)

1 = 16

If the target behavior is recorded whenever it occurs at any point within the scoring interval, the measurement procedure used is called continuous recording or event recording. This method involves observing and recording each instance of the behavior without considering its duration or intensity.

Continuous recording is typically used when the target behavior is discrete and occurs relatively infrequently or has a short duration. With this measurement procedure, each occurrence of the behavior is recorded as a separate event, regardless of when it starts or ends within the scoring interval. Examples of behaviors that can be measured using continuous recording include vocalizations, hand clapping, or instances of aggression.

Continuous recording provides a comprehensive account of the frequency or rate at which the behavior occurs, allowing for a detailed analysis of its occurrence patterns. This method is particularly useful when a precise count of behavior instances is needed and when the duration or intensity of the behavior is not a focus of measurement.

Learn more about interval here: brainly.com/question/29466566

#SPJ11

The measure of length PQ will be 22 units.

A triangle's third side is stated to be parallel to the line segment uniting its two midpoints, and it is also half as long as the third side.

Given:

PQ = 5x + 62, and MN = 6x-4

Now, using Mid- Point Theorem

PQ= 1/2 MN

-5x+ 62 = 1/2( 6x - 4)

-5x+ 62 = 3x - 2

-5x- 3x = -2 - 62

-8x = -64

x= 8

PQ= 5x+ 62 = -5(8) + 62 = -40 + 62 = 22

Hence, the measure of PQ is 22 units.

The missing image is attached below.

Learn more about the midpoint theorem here:

brainly.com/question/13677972

#SPJ1

The answer is <1,-1,1>.The given surface is In(xyz) + x² + y² + z² = 3.The gradient of the function f(x,y,z) = In(xyz) + x² + y² + z² = 3 is given by:grad f(x,y,z) = At the point P = (1,-1,-1), we have grad f(P) = <-1,-3,-2>.

Hence the equation of the tangent plane to the given surface at P is given by:-1(x - 1) - 3(y + 1) - 2(z + 1) = 0Simplifying we get x - 3y - 2z = -4Taking dot product of this normal vector <1,-3,-2> with each of the given vectors we get the following results:<1,1,0>.<1,-3,-2> = -5 ≠ 0<1,1,-1>.<1,-3,-2> = 0  [Answer]<-1,1,1>.<1,-3,-2> = 0<1,0,-1>.<1,-3,-2> = -5 ≠ 0<1,-1,1>.<1,-3,-2> = 0

Therefore the vector 0 <1,1,-1> is orthogonal to the tangent plane of the given surface at the point (1,-1,-1).Hence the correct option is 0 <1,1,-1>.

Learn more about gradient

https://brainly.com/question/26108345

#SPJ11

Yes. A leg of a right triangle can indicate the distance that separates two vertical or horizontal points, and the hypotenuse can represent the distance between two non-vertical or non-horizontal points.

We can use this theorem to calculate the distances between two locations on a coordinate grid. Consider the following example using the points:

( 3, 4 ) and ( − 2, 1 )

We can see how to make a right triangle with the hypotenuse as that of the line connecting these two spots. A right angle is formed at the coordinates ( 3, 1), where the vertical line from ( 3, 4 ) and the horizontal line from ( 2, 1 ) intersect.

To learn more about the distance between any two points, use the link below.

https://brainly.com/question/20436215?referrer=searchResults

#SPJ4

Answer: 490.63

Step-by-step explanation:

The general solution for the Cauchy-Euler equation is a linear combination of the two solutions:

\(y(t) = C_1 * t^{-9} + C_2 * t^2\)

To find the general solution to the given Cauchy-Euler equation for t > 0, first, we'll rewrite the equation using the given terms:

\(t^2 \frac{d^2y}{dt^2}+ 8t(dy/dt) - 18y = 0\)

Now, we'll use the substitution y(t) = t^m, where m is a constant, to transform the equation into a simpler form:

By using this substitution, we get:

\(dy/dt = m * t^{m-1}\\d^{2}y/dt^2= m * (m-1) * t^{m-2}\)

Substitute these expressions back into the original Cauchy-Euler equation:

\(t^2 * m * {m-1} * t^{m-2}+ 8t * m * t^{m-1} - 18 * t^m = 0\)

Simplify by dividing both sides by t^(m-2):

\(m * (m-1) + 8m - 18t^2 = 0\)

Now, we have a characteristic equation in terms of m:

\(m^2 + 7m - 18 = 0\)

Factoring this equation gives:

(m+9)(m-2) = 0

This yields two possible values for m: m1 = -9, m2 = 2

Therefore, the general solution for the Cauchy-Euler equation is a linear combination of the two solutions:

\(y(t) = C_1 * t^{-9} + C_2 * t^2\)

Where C1 and C2 are constants determined by any initial conditions.

learn more about the Cauchy-Euler equation,

https://brainly.com/question/12976304

#SPJ11

The plan that is most useful for demonstrating a new technology or service or to reach a market that is widely spread out is a proof-of-concept website

The statement about the market section of the classic business plan that is not true is that some people prefer to relocate the competition and competitive advantage section from the market section to the industry section.

A critical risk to the success of your business plan is Overlooked competition.

The pitch deck categories that is sometimes given in the form of a user's experience is Problem slide.

There are two goals you can seek in the "ask" of your elevator pitch. One is to build your network and the other is to get the listener to Make a micro-commitment

A good marketing strategy is most likely to focus on the longer-term competitive plan.

Learn more about technology on

https://brainly.com/question/7788080

#SPJ1

Answer:

Step-by-step explanation:

\((4\sqrt{81})^{6} = (4*\sqrt{9*9} )^{6}\\\\=(4*9)^{6}\\\\=(2^{2}*3^{2})^{6}\\\\=[(2*3)^{2}]^{6}\\\\=(6)^{2*6}\\\\=6^{12}\)

Exponent Laws:

\((a^{m}*b^{m}) = (a*b)^{m}\\\\(a^{m})^{n}=a^{m*n}\)

\(\huge\textsf{Hey there!}\)

\(\mathsf{(4\times\sqrt{81})^6}\\\\\mathsf{\sqrt{81} = \bf 9}\textsf{ because half of \underline{81} is \underline{9} or 9 multiplied by itself gives you 81}\\\\\mathsf{= (4\times9)^6}\\\\\mathsf{4\times9 = \bf 36}\\\\\mathsf{36^6}\\\mathsf{= 36\times36\times36\times36\times36\times36}\\\mathsf{= 1,296\times1,296\times1,296}\\\mathsf{= 1,679,616\times1,296}\\\mathsf{= \bf 2,176,782,336\ also\ known\ as \ 6^{12}}\\\\\\\boxed{\boxed{\large\textsf{Answer: \bf 6}^{\bf 12}}}\huge\checkmark\)

\(\large\textsf{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

yes!

typically considered a sandwich;)

The point- slope form of the line is y-5 = -0.25(x+6).

What is line?

A line is an one-dimensional figure. It has length but no width. A line can be made of a set of points which is extended in opposite directions to infinity. There are straight line, horizontal, vertical lines or may be parallel lines perpendicular lines etc.

A line with a slope of –1/4 passes through the point (–6,5)

Any line in point - slope form can be written as

y - y₁= m(x -x₁) -------(1)

where,

y= y coordinate of second point

y₁ = y coordinate of first point

m= slope of the line

x= x coordinate of second point

x₁ = x coordinate of first point

In the given problem (x₁ , y₁) = (-6,5) and m= -1/4

Putting all these values in equation (1) we get,

y-5= (-1/4) (x- (-6))

⇒ y-5 = -0.25(x+6)

Hence, the point- slope form of the line is y-5 = -0.25(x+6).

To know more about line

brainly.com/question/13763238

#SPJ1

When to use correlation instead of ANOVA: Correlation and analysis of variance (ANOVA) are both statistical techniques used to examine relationships between variables.

However, they have different purposes and are used in different scenarios. Use correlation when:

You want to measure the strength and direction of the linear relationship between two continuous variables.

You are interested in assessing the degree of association between variables without any specific grouping or experimental design.

You want to determine if there is a linear relationship between two variables but not necessarily determine if one variable affects the other.

Example: Suppose you want to examine the relationship between the hours spent studying and the exam scores of a group of students. By calculating the correlation coefficient (such as Pearson's correlation coefficient), you can assess whether there is a linear relationship between the two variables.

Use ANOVA when:

You want to compare means across two or more groups or categories.

You have a categorical independent variable and a continuous dependent variable.

You want to determine if there are statistically significant differences between the means of the groups.

Example: Imagine you are studying the effect of different fertilizer treatments on the growth of plants. You divide the plants into three groups, each receiving a different fertilizer treatment. By conducting an ANOVA, you can determine if there are significant differences in the mean growth among the three fertilizer groups.

In summary, correlation is used to measure the strength and direction of a linear relationship between two continuous variables, while ANOVA is used to compare means across different groups or categories.

The usefulness of partial correlation and an example:

Partial correlation is a statistical technique that measures the degree of association between two variables while controlling for the effects of one or more additional variables. It allows you to examine the relationship between two variables while holding other variables constant or controlling for their influence.

Partial correlation is useful in the following scenarios:

When you want to assess the relationship between two variables after accounting for the effects of other potentially confounding variables.

When there is a possibility that the relationship between two variables might be explained or influenced by other factors, and you want to isolate the direct association between them.

Example: Suppose you are studying the relationship between income and education level, but you suspect that age might confound this relationship. By calculating the partial correlation coefficient between income and education, controlling for age, you can examine the association between income and education while removing the influence of age.

By using partial correlation, you can better understand the direct relationship between two variables by accounting for the potential effects of other variables that might distort or confound the relationship. It allows you to isolate and assess the unique association between two variables of interest.

Learn more about statistical here:

https://brainly.com/question/32201536

#SPJ11

It will take 10 minutes to refuel plane A until both planes have the same amount of fuel

The points that satisfy the equation are

Using the two equations and solving simultaneously gives the unknown terms x and y

solving the equation

y = -x + 21

y = x + 1

add both equations

2y = 22

y = 11

substitute y = 110 into y = x + 1

11 = x + 1

x = 11 - 1

x = 10

If plane A has  1 ton of fuel and plane B has 21 tons the two planes will have equal fuel at

= (21 + 1) / 2

= 11

hence the two planes can have 11 tons of fuel each, plane a already have 1 ton hence it requires 10 ton to be 11 ton

At 1 ton per minute it takes ? minutes to get to 10 ton

1 ton = 1 minute

10 ton = ?

cross multiplying

? = 10 minutes

it will take 10 minutes for the two planes to have equal amount to fuel

Learn more on simultaneous equation at:

https://brainly.com/question/29326319

#SPJ1

Answer:

Here's the sample answer.

Answer:

No solution to any of the variables or equation

Step-by-step explanation: