Simplify the expressions. 2x + 3y - 2/3 x + 1 1/2 y

Answer: Lower bound: 25°C

Upper bound: 26°C

Step-by-step explanation:

PLS MARK BRAINLIEST IF U CAN !!

Principal Component Analysis (PCA) is a statistical technique used to reduce the number of variables in a dataset.

It is used to transform a set of correlated variables into a smaller set of uncorrelated variables, called principal components, which capture the most variance in the data. The formula for PCA can be written as:

X' = ΣX - μ

Where X is the original data, X' is the transformed data, μ is the mean of the original data, and Σ is the covariance matrix of the original data.

To calculate PCA, the mean of the original data is first subtracted from each of the observations. This is then multiplied by the covariance matrix, which is a matrix of the variances and covariances of the original data. The resulting product is the transformed data, which is a matrix of uncorrelated principal components. The principal components are the linear combinations of the original variables that capture most of the variance in the data. The amount of variance captured by each component is determined by the eigenvalues of the covariance matrix. The eigenvectors of the covariance matrix are the principal components.

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Answer:

92

Step-by-step explanation:

The probability of an element being selected is 0.1 or 1/10 or 10%.

Probability is a mathematical concept that describes the likelihood of an event occurring. It is a value between 0 and 1, where 0 indicates that an event is impossible, 1 indicates that an event is certain, and values between 0 and 1 indicate the degree of uncertainty or likelihood of an event occurring.

In simple random sampling, each element in the population has an equal chance of being selected, and the probability of any given element being selected is equal to the sample size divided by the population size.

In this case, the sample size is 40, and the population size is 400, so the probability of any given element being selected is 40/400 = 1/10.

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Answer:

$6

Step-by-step explanation:

Week 4 Beginning Balance: -6

Final Balance: ?

Change: ?

Emika would need to deposit at least $6 into her account during week 4 in order for the final balance to be positive.

it will go far as 231 km in 45 mins

The probability that a student will have at least 3 similar personality traits in common with their friends is 0.8802 or 87.98%.

The probability of having at least 3 similar personality traits in common is calculated by taking into account the probability of having 3, 4 or all 4 traits in common.

To do this, Susan uses the formula for finding the probability of a complement event, which is 1 minus the probability of not having at least 3 traits in common.

The probability of not having at least 3 traits in common is found by adding up the probabilities of having 0, 1, or 2 traits in common. This gives us a total probability of

=> 0.4009 + 0.316 + 0.3538 + 0.0472 = 0.1198.

The probability of having at least 3 traits in common is then found by subtracting this value from 1, which gives us a probability of

=> 1 - 0.1198 = 0.8802.

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Answer: The triangle on top is [tex]32m^2[/tex]. The square on the bottom is [tex]64m^2[/tex]. Both together is [tex]96m^2[/tex]

We can see here that:

1. x-y=3

  3x + y = 1 -  One solution

2. y = 5x-4

    y=5x+13 - No solutions

3. 4g + r = 12

   8g= -2r+24 - Infinite number of solutions

4. 3y+ 15x = -1

    y = 4-5x - No solutions

A system of equations is a set of two or more equations that are related to each other and must be solved simultaneously to find the values of the variables involved. A system of equations represents a situation in which multiple unknowns are related to each other in a specific way, and finding a solution requires finding the values of all the unknowns that satisfy all the equations in the system.

Solving:

x-y=3 ----eq. 1

3x + y = 1 ----eq. 2

Thus, x = 3+y --- eq. 3

Substituting it into eq. 2, we have:

3( 3+y ) + y = 1

9 + 3y + y = 1

9 + 4y = 1

4y = 1-9

4y = -8

y = -8/4 = -4

Substituting y in eq. 1, we have:

x - (-4) = 3

x + 4 = 3

x = 3 - 4 = -1.

Thus, one solution.

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For the hyperbola [(x - 3)²/16 - (y + 1)²/4] = 1 -

The general form - x² - 6x - 4y² - 8y - 11 = 0

Centre - (3,-1)

Vertices - (7,-1) and (-1,-1)

Foci - (3 + 2√5 , -1) and (3 - 2√5 , -1)

Asymptotes - (x - 3)/2 - 1 and -(x - 3)/2 - 1

What is a hyperbola?

One sort of smooth curve that lies in a plane is called a hyperbola, and it has two connected components or branches that are mirror reflections of one another and seem like two infinite bows. A set of points is referred to as a hyperbola if the difference between their distances from two foci is constant.

The given equation is - [(x - 3)²/16 - (y + 1)²/4] = 1

The equation of a hyperbola is  [(x - h)²/a² - (y - k)²/b²] = 1, where (h,k) is the centre, a and b are the lengths of the semi-major and the semi-minor axes.

In the equation h = 3, k = -1, a = 4 and b = 2.

The standard form is [(x - 3)²/4² - (y + 1)²/2²] = 1.

The vertex form is [(x - 3)²/16 - (y + 1)²/4] = 1.

The general form is x² - 6x - 4y² - 8y - 11 = 0.

The vertices of hyperbola is given as (h+a,k) and (h-a,k) which are the two bending points of the hyperbola with centre (h,k).

Vertices = (3+4,-1) and (3-4,-1)

Vertices = (7,-1) and (-1,-1)

For a right-left facing hyperbola, the Foci (focus points right) are defined as (h+c,k) and (h-c,k) where c = √(a² + b²) is the distance from the center (h,k).

c = √(4² + 2²)

c = √16 + 4

c = √20

c = 2√5

So the foci is -

Foci = (3 + 2√5 , -1) and (3 - 2√5 , -1).

The asymptotes are the lines the hyperbola tends to at ±∞.

For right-left hyperbola the asymptotes are y = ± b/a(x - h) + k.

y = ± 2/4(x - 3) + -1.

y = (x - 3)/2 - 1 and -(x - 3)/2 - 1

Therefore, the graph for the hyperbola is plotted.

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Answer:

Step-by-step explanation:

If Harry has 25 marbles, and his grandmother gave him m more marbles we can say that harry has 25+m amount of marbles.

Answer:20.9248 degrees

Step-by-step explanation:

sin(θ)=opposite/hypotenuse

      θ=sin⁻¹(opposite/hypotenuse)

      θ=sin⁻¹(5/14)

      θ=20.9248 degrees      or θ=0.3652 radians

The simplification of the expression -40-24u is -8(3u+5)

Making something simpler is the definition of simplify. Simplifying an expression, fraction, or mathematical problem is referred to as simplification in mathematics. Through calculations and problem-solving, it simplifies the issue.

As you are aware, simplifying mathematical problems improves test scores and is also used in daily life. For example, in malls, you can receive a 35% discount, a flat discount, or a 20% discount up to Rs 100. To solve equations in this section, you only need to apply the most basic simplification rules.

Therefore, simplifying an expression entails applying various techniques to make it into a simpler version. The operations necessary to simplify things are carried out according to a predetermined procedure called BODMAS.

-40-24u

= -24u-40

= -8(3u+5)

The answer is -8(3u+5)

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Answer: it is 3/4

Step-by-step explanation:

(0,1) and (4,4) are the two points.

slope = (4-1)/(4-4) = 3/ 4

The intercepts of the linear function in this problem are defined as follows:

The function for this problem is defined as follows:

-7x - 6y = -15.

The x-intercept of the function is the value of x when y assumes a value of 0, hence:

-7x = -15

7x = 15

x = 15/7

x = 2.1429.

The y-intercept of the function is the value of y when x assumes a value of 0, hence:

-6y = -15

6y = 15

y = 15/6

y = 5/2

y = 2.5.

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The price of the ticket is $169.

Travel insurance

$19 per ticket

Total cost

$752

x = price of the ticket

Equation for the total cost

752 = 4(x+19)

x + 19 = 752/4

x + 19 = 188

x = 188 - 19

x = $169

Step-by-step explanation:

and a line going from the point 0 comma 100 through the point 2 comma 120

Question 6(Multiple Choice Worth 2 points)

(Graphing Linear Equations MC)

Which graph represents the equation y equals one half times x minus 1?

graph of a line passing through the points negative

The true statements are (i),(iii),(iv),(vi),(vii), and (ix).

While packing the hamper, George and Harris do a number of foolish and funny things. The true statements are as follows:

(i) They started with breaking a cup.

(iii) They squashed a tomato.

(iv) They trod on the butter.

(vi) They put things behind them and couldn't find them.

(vii) They stepped on things.

In the descriptions, it appears that George and Harris were not very skilled at packing and ended up making a lot of mistakes, such as breaking dishes, squashing food, losing items, and stepping on things.  So, statement (ii), (v), (viii) is false because they did not pack the pictures well, and statement (x) is false because they were not very good at packing.

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--The given question is incomplete; the complete question is

"While packing the hamper, George and Harris do a number of foolish and funny things. Tick the statements that are true.

(i) They started with breaking a cup.

(ii) They also broke a plate.

(iii) They squashed a tomato.

(iv) They trod on the butter.

(v) They stepped on a banana.

(vi) They put things behind them and couldn't find them.

(vii) They stepped on things.

(viii)They packed the pictures at the bottom and put heavy things on top.

(ix) They upset almost everything.

(x) They were very good at packing."--

The marginal probability function for Y is (c) (c) y=0 fy(y) = 1/2 y=1 fy(y) = 35/10 otherwise.

The marginal probability function for Y is calculated by summing the joint probabilities over all possible values of X for a given value of Y. Hence,

fy(0) = f(0,0) + f(1,0) = (0^2 + 300) * 5/10 + (1^2 + 310) * 5/10 = 0 + 5/10 = 1/2

fy(1) = f(0,1) + f(1,1) = (0^2 + 301) * 5/10 + (1^2 + 311) * 5/10 = 15/10 + 20/10 = 35/10

Therefore, the correct answer is (c) y=0 fy(y) = 1/2 y=1 fy(y) = 35/10 otherwise.

Correct Question :

Let X and Y be discrete random variables with joint probability function f(x, y) = (x2 + 3xy) 5 10 for (x,y) = (0,0), (0, 1), (1,0), (1,1) otherwise What is the marginal probability function for Y? a. y=1 fy(y) = 0 otherwise b. 50 = { variere 50 = { fy(y) = 3 y=1 otherwise c. y=0 fy(y) = 1/2 y=1 fy(y) = 35/10 otherwise d. y=0 fy(y) = Ey=1 otherwise e. y=0 fy(y) = x2 + 3x y=1 otherwise

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The annual membership fee per person is  120 dollars.

In scientific notations numbers are written in the form of a base that is

0  ≤ b < 10 and multiplied by 10ⁿ where n represents integers.

We write large standard numbers in scientific form in a compact manner.

Given, A chain of gyms has 3.5×10⁵ members throughout the U.S. Their total annual revenue from membership fees is 4.2×10⁷ dollars.

Therefore, The annual membership fee per person is,

= (4.2×10⁷)/(3.5×10⁵).

= 1.2×10².

= 1.2×100

= 120 dollars.

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This is a simulation question and requires calculating the expected profit of Ford over the customer's lifetime based on the customer satisfaction rate and the discount rate.

To estimate the value of a customer to Ford, we need to simulate the customer's purchasing behaviour over their lifetime. To do this, we can use a random number generator to determine whether a customer is satisfied with the car they purchased and whether they will continue to buy from Ford or switch to GM.

The simulation can be repeated several times to get an average value. The expected profit of Ford from a customer can be calculated by multiplying the profit per car by the number of cars the customer is expected to purchase from Ford. The discounted value of this expected profit can then be calculated using the discount rate.

If Ford's customer satisfaction rate is 85%, the expected value of a customer to Ford can be estimated as follows:

1. Simulate the customer's purchasing behaviour for 10 cars over their lifetime, using a random number generator to determine whether the customer is satisfied with the car and whether they will continue to buy from Ford or switch to GM.

2. If the customer is satisfied with their first car (Ford), multiply the profit per car ($5000) by the number of cars the customer is expected to purchase from Ford over their lifetime.

3. If the customer is not satisfied with their first car (Ford), the customer will buy their next car from GM.

4. Repeat the simulation several times and take the average of the expected profits.

5. Discount the expected profit over the customer's lifetime at 12% annually.

If Ford raises its customer satisfaction rate to 90%, the expected value of a customer to Ford can be re-estimated in the same way as described above, with the updated customer satisfaction rate.

It is important to note that this is a simplified model, and the actual value of a customer to Ford may be different based on various other factors such as market conditions, competition, and customer behaviour.

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50% of the data values are greater than 45, it is calculated using the concept of box-whisker plot.

An illustration of the variation in a set of data is called a box and whisker plot. A histogram analysis usually gives an adequate display, but a box and whisker plot can add more detail while enabling the display of different sets of data in the same graph.

Given the box-and-whisker plot below represents some data sets,

In light of the above, the box-whisker plot reflects a particular data set. There is a number 45 right next to it, and a vertical line next to it indicates that 45 is the median of the data and that 45 is the 50th percentile in this case.

It indicates that 50% of the values are higher than 45 and 50% of the values are less than 45.

Using this technique, we can easily determine the proportion of data for which the value is higher or lower. It aids in data analysis and result interpretation.

Hence 50% of values are greater than 45.

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The statement "For midsized cars, lower driving speeds seem to yield lower miles per gallon" indicates a negative relationship between driving speed and fuel efficiency.

This statement means that as the driving speed increases, the fuel efficiency decreases and vice versa. This relationship is likely due to the increase in air resistance and engine drag as driving speed increases, which leads to a decrease in fuel efficiency.

This relationship can be seen in the context of the physics of motion and energy, where energy is conserved, and an increase in one form of energy, such as kinetic energy, is accompanied by a decrease in another form of energy, such as thermal energy.

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The change in temperature in each hour would be = -7 degrees/ hour

Temperature is defined as the degree of how hot or cold a body is which can be measured in degree Celsius or degree Fahrenheit.

As the individual passed through Denver the time for total temperature change = 6 hours.

The total temperature changes = -42 degrees

If 6 hours = -42 degrees

1 hour = × degrees

make X the subject of formula;

X = -42/6

X = -7 degrees/hour

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C7H14O is likely an alcohol with IR peaks due to C-O and O-H bond stretching vibrations around 1050-1300 cm^-1 and 3000-3600 cm^-1.

What is atom ?

The smallest part of a substance that cannot be broken down chemically. Each atom has a nucleus (center) made up of protons (positive particles) and neutrons (particles with no charge). Electrons (negative particles) move around the nucleus.

The C7H14O molecule is likely to be an alcohol, as the functional group for alcohols includes a hydroxyl (-OH) group, which contains an oxygen atom bonded to a hydrogen atom.

The wavenumber of an IR peak corresponds to the frequency of a vibration in the molecule. In the case of an alcohol, the IR peaks of interest are typically due to the stretching vibrations of the C-O and O-H bonds. The IR peaks for these vibrations typically occur at wavenumbers in the range of 1050-1300 cm^-1 and 3000-3600 cm^-1, respectively.

C7H14O is likely an alcohol with IR peaks due to C-O and O-H bond stretching vibrations around 1050-1300 cm^-1 and 3000-3600 cm^-1.

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The value of x that results in short circuit evaluation, causing (y < 4) not to be evaluated, is any value that is greater than or equal to 7.

Short Circuit Evaluation is a concept in computer programming where certain expressions are evaluated only if necessary.

In this case, the expression (x >= 7) (y < 4) 678, we need to find the value of x that results in short circuit evaluation and causes (y < 4) not to be evaluated.

In this expression, the first expression (x >= 7) is evaluated first. If the value of x is greater than or equal to 7, then the expression is considered true and the evaluation process moves to the next expression (y < 4).

However, if the value of x is less than 7, then the expression is considered false and the evaluation process stops.

In this case, (y < 4) is not evaluated because the result of the expression is already known to be false, and therefore, evaluating it would be a waste of resources.

If x is less than 7, then (y < 4) will be evaluated. It is important to keep in mind that short circuit evaluation is a technique used to optimize the evaluation process and make it more efficient.

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The probability that all six homes visited are new is (3/5)^6.

There are a total of 6 + 4 = 10 homes, of which 6 are new and 4 have been previously occupied.

The probability of choosing a new home in one draw is 6/10 = 3/5.

To find the probability that all six homes visited are new, we can multiply the probability of choosing a new home in each of the six draws:

(3/5) * (3/5) * (3/5) * (3/5) * (3/5) * (3/5) = (3/5)^6

So, the probability that all six homes visited are new is (3/5)^6.

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Answer:

1/  17 cookies in each row

2/  68 cookies in a package

Step-by-step explanation:

We know

The package of Oreos has 51 cookies

1/

If there are 3 rows of Oreos in each package, how many cookies are in each row?

51 / 3 = 17 cookies

So, there are 17 cookies in each row.

2/

If there were four rows of cookies, how many cookies would be in a package?

We know each row has 17 cookies

17 x 4 = 68 cookies

So, there are 68 cookies in a package.