A paper has an area of 96 square inches. What is the paper's area in square centimeters? Use the following conversion: 1 square inch is 6.5 square centimeters.

Answer:

D, X^2 -18 + 81 = -45 + 81

Step-by-step explanation:

it is complating squer method that used for solving x in a quadratic equetion . in this step you will add

(y/2)^2 if y is the cofitient of x .

Answer:

Step-by-step explanation:

its (x+1,y+-3)

The values of p1, p2, p3 that minimize Var(X) are p1 = 0, p2 = 1/3, and p3 = 2/3.

We can use the following formulas to find the variance of X:

Var(X) = E[X^2] - (E[X])^2

E[X] = p1 + 2p2 + 3p3

E[X^2] = p1 + 4p2 + 9p3

Substituting these expressions into the formula for the variance, we get:

Var(X) = p1 + 4p2 + 9p3 - (p1 + 2p2 + 3p3)^2

Simplifying this expression, we get:

Var(X) = -\((p1^2 + 2p2^2 + 3p3^2) + 2p1p2 + 6p1p3 + 4p2p3\)

To maximize Var(X), we want to maximize this expression subject to the constraint p1 + p2 + p3 = 1. We can use Lagrange multipliers to find the maximum. Let:

L(p1, p2, p3, λ) = -\((p1^2 + 2p2^2 + 3p3^2) + 2p1p2 + 6p1p3 + 4p2p3 + λ(1 - p1 - p2 - p3)\)

Taking partial derivatives and setting them equal to zero, we get:

-2p1 + 2p2 + 6p3 - λ = 0

4p1 - 4p2 + 4p3 - λ = 0

6p1 + 8p2 - 6p3 - λ = 0

p1 + p2 + p3 = 1

Solving these equations, we get:

p1 = 2/7, p2 = 3/7, p3 = 2/7, λ = 4/7

Therefore, the values of p1, p2, p3 that maximize Var(X) are p1 = 2/7, p2 = 3/7, and p3 = 2/7.

To minimize Var(X), we want to minimize the expression \(-(p1^2 + 2p2^2 + 3p3^2) + 2p1p2 + 6p1p3 + 4p2p3\) subject to the constraint p1 + p2 + p3 = 1. We can use the same Lagrange multiplier method to find the minimum. Taking partial derivatives and setting them equal to zero, we get:

-2p1 + 2p2 + 6p3 - λ = 0

4p1 - 4p2 + 4p3 - λ = 0

6p1 + 8p2 - 6p3 - λ = 0

p1 + p2 + p3 = 1

Solving these equations, we get:

p1 = 0, p2 = 1/3, p3 = 2/3, λ = 2/3

Therefore, the values of p1, p2, p3 that minimize Var(X) are p1 = 0, p2 = 1/3, and p3 = 2/3.

Learn more about expressions

https://brainly.com/question/14083225

#SPJ4

Answer:kepler's 3rd law

Step-by-step explanation:

The solution to the system of equations is:

x = -2, y = -4, z = -3

So, the correct option is:

e. x = -2, y = -4, z = -3; (-2, -4, -3)

To solve the given system of equations:

1) x + 2y + 2z = -16

2) 4y + 5z = -31

3) z = -3

We can substitute the value of z from equation 3 into equations 1 and 2 to solve for x and y.

Substituting z = -3 into equation 1:

x + 2y + 2(-3) = -16

x + 2y - 6 = -16

x + 2y = -16 + 6

x + 2y = -10

Substituting z = -3 into equation 2:

4y + 5(-3) = -31

4y - 15 = -31

4y = -31 + 15

4y = -16

y = -16/4

y = -4

Now, substituting y = -4 back into equation 1:

x + 2(-4) = -10

x - 8 = -10

x = -10 + 8

x = -2

Therefore, the solution to the system of equations is:

x = -2, y = -4, z = -3

So, the correct option is:

e. x = -2, y = -4, z = -3; (-2, -4, -3)

Learn more about option

https://brainly.com/question/32701522

#SPJ11

Length of line segment YX is distance of both the ends of it. The length of line segment YX is \(8\sqrt{3}\) units.

The length of a line segment is the measurement of the distance of both the ends of it.

Given information-

In the rectangle \(YVWX\) the length of line line segment YV is 24 units.

The rectangle \(YVWX\) is shown in the image below.

The angle given in the figure is,

\(m\angle X=30\\m\angle W=90\\m\angle V=60\)

Now in the figure of rectangle shown below, the triangle XWV is the right angle triangle.

In this right angle triangle the tan of angle is the ratio perpendicular to the base. thus,

\(\tan 60=\dfrac{24}{VW}\\\sqrt{3}=\dfrac{24}{VW}\\VW=8\sqrt{3}\)

As the opposite side of a rectangle are equal. Thus, the length of line segment is VW is equal to the length of the line segment YX. Therefore,

\(YX=VW=8\sqrt{3}\)

Hence, the length of line segment YX is \(8\sqrt{3}\) units. The option B is the correct option.

Learn more about the line segment here;

https://brainly.com/question/2437195

Answer: Prolly B

Step-by-step explanation:

Step-by-step explanation:

Weakly decreasing sequences that are between p and q are in bijection with sequences of 0's and 1's of length q-p+N, where the sequences have exactly N ones. It's obvious that the number of such sequences is choose(q-p+N, N) because that's the number of ways of choosing N things from q-p+N things.

A sequence or function is weakly decreasing if the value of each term or point is less than or equal to the previous term or point.

In other words, a weakly decreasing sequence or function does not increase. It can stay the same or decrease, but it cannot go up. For example, the sequence 5, 4, 4, 3, 2, 2, 1 is weakly decreasing because each term is either less than or equal to the previous term. is weakly decreasing because each term in the sequence is either equal to or less than the previous term. However, the sequence {5, 3, 6, 1, 2} is not weakly decreasing because the third term (6) is greater than the second term (3).

Learn more about sequences and series here:https://brainly.com/question/12668338

#SPJ11

Answer:

uhh... that is impossible to know since we don't know the value 'y'

Step-by-step explanation:

Solution:

Give the following below

To find the cosine function, we will apply the general formula for cosine function below

To find the value of b

Substitute the values of the variables into the general formula for cosine function

Applying a graphing tool,

The graph of one cycle of the function is shown below

Answer:

The answer is x+2

Step-by-step explanation:

I JUST did this quesTimon

Any non-empty subset of Rⁿ, where any linear combination of vectors in S is again a vector in S, is a subspace of Rⁿ.

Given that S is a non-empty subset of Rⁿ such that any linear combination of vectors in S is again a vector in S. Therefore, to prove that S is a subspace of Rⁿ, we have to show that S satisfies three conditions. These conditions are as follows;

The condition for being a subspace of Rⁿ

Firstly, a subspace must be closed under addition. In other words, if x and y are any two vectors in S, then their sum x + y must be in S.

Secondly, a subspace must be closed under scalar multiplication. In other words, if x is any vector in S and c is any scalar, then cx must be in S.

Finally, a subspace must contain the zero vector, denoted by 0.S is a subspace of Rⁿ

From the conditions mentioned above, we can show that S is indeed a subspace of Rⁿ, since S satisfies all the required conditions.

Therefore, we can say that any non-empty subset of Rⁿ, where any linear combination of vectors in S is again a vector in S, is a subspace of Rⁿ.

To know more about subset, click here

https://brainly.com/question/31739353

#SPJ11

b. y=x/3+7

we divide x=3t by 3 to just get t, which gives us x/3=t, so if this is the value of t, we can put it in the main equation giving us y = x/3+7 so b.

1/12    is the probability that the sum of the two faces adds to 5 .

What does the math term "probability" mean?

The simple definition of probability is the likelihood that something will occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out.

                             Statistics describes the examination of events subject to probability.

It is because there are total of 3 pairs possible where addition of number face adds to 4.

The pairs are (2,2), (1,3), (3,1).

The total outcomes possible(sample space) is 36.

Hence probability is 3/36, that is, 1/12

Learn more about Probability

brainly.com/question/11234923

#SPJ4

Answer:

x=9

Step-by-step explanation:

<B = <E  from the concurrency statement

5x = 45

Divide by 5

5x/5 = 45/5

x = 9

Answer:

Hey there!

These are similar triangles, and similar triangles have congruent angles.

Thus, we have 5x=45

Simplifying, we have x=9

Let me know if this helps :)

The probability that a randomly selected tire will have a life of at least 35,000 miles is 0.1587 or about 15.87%.

To solve this problem, we need to use the concept of probability and the normal distribution. We are given that the life expectancy of a particular brand of tire is normally distributed with a mean of 40,000 and a standard deviation of 5,000 miles. We want to find the probability that a randomly selected tire will have a life of at least 35,000 miles.

We can use the standard normal distribution to find the probability. We first need to standardize the value of 35,000 using the formula:

z = (x - μ) / σ

where z is the standard score, x is the value we want to standardize (in this case, 35,000), μ is the mean, and σ is the standard deviation. Plugging in the values, we get:

z = (35,000 - 40,000) / 5,000 = -1

Now we can use a standard normal distribution table to find the probability that a randomly selected tire will have a life of at least 35,000 miles. We look up the value of -1 in the table and find that the corresponding probability is 0.1587. Therefore, the answer is:

0.1587

So the probability that a randomly selected tire will have a life of at least 35,000 miles is 0.1587 or about 15.87%.

to learn more about probability click here:

brainly.com/question/29221515

#SPJ11

Six customers each made purchases from the website the binomial random variable and mean and standard deviation of X  is mathematically given as X bin(n=6, p = 0.2) where x = 0.9798.

Generally, the equation is mathematically given as

P(coupon) = 1/5

P(coupon)= 0.2

the binomial distribution = X bin(n=6, p = 0.2)

Therefore, The mean and standard deviation of np = 6*0.2 = 1.2

x = √6*0.2+(1-0.2)

x= 0.9798

Thus, the mean and standard deviation of X is 0.9798.

Hence, to increase sales, an online clothing store began giving a 50% off coupon to random customers Six customers each made purchases from the website the binomial random variable and mean and standard deviation of X  is mathematically given as X bin(n=6, p = 0.2) where x = 0.9798.

To know more about binomial distribution visit: brainly.com/question/14565246

#SPJ4

The option that gives chart elements a realistic, three-dimensional look is D. Plot Area.

The option that gives chart elements a realistic, three-dimensional look is the plot area. The plot area is the portion of the chart that displays the data points and is typically the main focus of the chart. Adding shading and depth to the plot area, can give the chart a more lifelike appearance and make the data more visually engaging. Additionally, three-dimensional charts can also be created by using specialized charting software that allows for the creation of 3D visualizations. These types of charts can be useful for highlighting patterns and trends in the data, especially when dealing with large datasets.
In a chart, the plot area is the space where the actual data points, bars, lines, or pie slices are displayed. By applying three-dimensional effects to the plot area, you can make the chart elements appear more realistic and visually appealing. This can enhance the viewer's understanding of the data being represented and make the chart more engaging.
In summary, to give chart elements a realistic, three-dimensional look, you should focus on the plot area (Option D). The axis (Option A), chart area (Option B), and legend (Option C) do not directly contribute to creating a three-dimensional appearance for the chart elements.

Visit here to learn more about chart elements:

brainly.com/question/5016723

#SPJ11

Answer:

Slope = -1

Step-by-step explanation:

In the formula " y = mx + b", m = slope and b = y-intercept.

y = -x + 4   is the same as  y = -1x + 4

So, we can tell that the slope is -1  and the y-intercept is 4.

Answer:

positive

Step-by-step explanation:

y positive

x positive

Answer; its positive negative but its mostly negative

(a) We can use a two-sample t-test to test the claim that the contents of cans of regular Coke have weights with a mean that is greater than the mean for Diet Coke.

The null hypothesis is that the mean weight of regular Coke is equal to or less than the mean weight of Diet Coke, while the alternative hypothesis is that the mean weight of regular Coke is greater than the mean weight of Diet Coke. Using a calculator or statistical software, we find that the test statistic is 4.013 and the p-value is 0.0001. Since the p-value is less than the significance level of 0.01, we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that the contents of cans of regular Coke have weights with a mean that is greater than the mean for Diet Coke.

(b) Cans of regular Coke probably weigh more than cans of Diet Coke due to the sugar present in regular Coke but not Diet Coke. Sugar has weight and adds to the overall weight of the can. Diet Coke uses artificial sweeteners instead of sugar, which would result in a lower weight for the can.

Note: The answer choices provided are not accurate as they do not address the actual reason for the weight difference.

Learn more about mean :

https://brainly.com/question/31101410

#SPJ11

Answer:

4

Step-by-step explanation:

an aquarium is in the shape of a cuboid

the depth can be determined from the volume of a cuboid

volume = length x depth x height

11.96 = 2.5 x 1.1 x depth

depth = 11.96 / (2.5 x 1.1 )

depth = 4.3 feet = 4 (to the nearest whole number)

To round off to the nearest whole number, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.

Answer:

66 feet per second

990 feet

Step-by-step explanation:

Converting 45 miles to feet,

1 mile = 5280 feet,

45 mile = 45 × 5280 = 237600 feet

45 miles per hour = 237600÷ 3600(seconds)

                              = 66 feet per second

In 1-second car travels = 66 feet

In 15-second car travels = 66 × 15 = 990 feet

To convert hours to seconds,

https://brainly.in/question/35616268

Answer:

53010000

Step-by-step explanation:

The solution is, 13/78 reduced to its simplest form is 1/6.

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

given that,  13/78

now, we know that, 13*6 = 78

i.e. 13/ 13*6

=1/6

Hence, The solution is, 13/78 reduced to its simplest form is 1/6.

To learn more on simplification click:

brainly.com/question/28996879

#SPJ2

The limit lim x → n − ⌊ x ⌋ is equal to n because the floor function ⌊ x ⌋ approaches n from values less than n as x approaches n from the left.

To evaluate the limit lim x → n − ⌊ x ⌋, we need to understand the concept of the floor function ⌊ x ⌋. The floor function returns the largest integer that is less than or equal to x. For example, ⌊3.7⌋ = 3 and ⌊-2.5⌋ = -3.

When we take the limit as x approaches n from the left (denoted by the minus sign in x → n − ⌊ x ⌋), we are essentially asking what happens to the function as x gets closer and closer to n from values less than n. Since n is an integer, the floor function ⌊ x ⌋ will always be equal to n when x is between n and n+1. Therefore, as x approaches n from the left, ⌊ x ⌋ will approach n.

So the limit lim x → n − ⌊ x ⌋ is equal to n. This makes sense intuitively, as we are essentially taking the integer part of a number that is very close to n from values less than n, so it would make sense for the integer part to be equal to n itself.

Learn more about integer here:

brainly.com/question/1768254

#SPJ11

Answer:

A: $8xN= $25  (N=5 days)

B: $8xN= $56 (N= 7 days)

Step-by-step explanation:

Hope This Helps! ;)

Answer:

8n= $ He makes

Step-by-step explanation:

8 dollars is our unit rate, so it makes sense to multiply it by the N.

Answer:

4y−12

Step-by-step explanation:

4(y−3)

Use the distributive property to multiply 4 by y−3.

4y−12

Robert's box-and-whisker plot should look like the following: C. box-and-whisker plot C.

In Mathematics, a box plot is sometimes referred to as box-and-whisker plot and it can be defined as a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.

Next, we would sort the observations (data set) from the least to greatest as follows:

14, 18, 21, 27, 32, 38, 46}.

Based on the information provided above, the five-number summary for the given data set include the following:

Minimum = 14

First quartile = 18.

Median = 27.

Third quartile = 38.

Maximum = 46.

Read more on box plot here: brainly.com/question/14277132

#SPJ1