The height of 6 pictures placed end to end on a bulletin board is 57 centimeters.
All of the pictures are the same height. How tall is each picture?
A. 9.5 cm
B. 7.6 cm
C. 10.4 cm
D. 8.9 cm
Please answer as quick as possible!!

Answer:

3 quarts

Step-by-step explanation:

12÷4=3

We will determine the length and width of the patio as follows:

*First: We write the equations that we can derivate from the text, those are:

&

&

*Second: We will replace this last two equations in the first one and solve for x:

So, we have that the width of the patio is 14 feet long.

*Third: We determine the length:

So, we have that the lenght of the patio is of 35 feet long.

The probability of at most 1 person leaving the elevator on each floor when assuming that every person is equally likely to leave the elevator on any floor depends on the number of floors in the building and can be calculated using the binomial distribution formula.

Assuming that every person is equally likely to leave the elevator on any floor, the probability that on each floor at most 1 person leaves the elevator can be calculated using the binomial distribution.

Let's say there are n floors in the building. The probability of at most 1 person leaving the elevator on each floor is the probability that 0 or 1 person leaves the elevator on each floor. This can be calculated as follows:

P(at most 1 person leaves the elevator on each floor) = P(0 people leave on floor 1) x P(0 or 1 people leave on floor 2) x P(0 or 1 people leave on floor 3) x ... x P(0 or 1 people leave on floor n)

Now, since we are assuming that every person is equally likely to leave the elevator on any floor, the probability of 0 people leaving the elevator on any floor is (n-1)/n and the probability of 1 person leaving the elevator on any floor is 1/n. Therefore, we can calculate the probability of at most 1 person leaving the elevator on each floor as:

P(at most 1 person leaves the elevator on each floor) = (n-1)/n * (1/n + (n-1)/n)^(n-1)

Simplifying this expression, we get:

P(at most 1 person leaves the elevator on each floor) = (n-1)/n * (2/n)^(n-1)

For example, if there are 5 floors in the building, the probability of at most 1 person leaving the elevator on each floor is:

P(at most 1 person leaves the elevator on each floor) = 4/5 * (2/5)^4
P(at most 1 person leaves the elevator on each floor) = 0.08192

Therefore, the probability of at most 1 person leaving the elevator on each floor when assuming that every person is equally likely to leave the elevator on any floor depends on the number of floors in the building and can be calculated using the binomial distribution formula.

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The pieces of cloth are beyond the standard at 0.05 level of significance.

We can use a one-sample t-test to determine if the mean length of the 35 pieces of cloth is significantly different from the standard length of 3.25 meters.

The null hypothesis is that the mean length of the cloth pieces is equal to the standard length:

H0: μ = 3.25

The alternative hypothesis is that the mean length of the cloth pieces is greater than the standard length:

Ha: μ > 3.25

We can calculate the test statistic as:

t = (x - μ) / (s / √n)

where x is the sample mean length, μ is the population mean length (3.25 meters), s is the sample standard deviation (0.52 meters), and n is the sample size (35).

Plugging in the values, we get:

t = (3.52 - 3.25) / (0.52 / √35) = 3.81

Using a t-table with 34 degrees of freedom (n-1), and a significance level of 0.05 (one-tailed test), the critical t-value is 1.690.

Since our calculated t-value (3.81) is greater than the critical t-value (1.690), we reject the null hypothesis and conclude that the mean length of the 35 pieces of cloth is significantly greater than the standard length at the 0.05 level of significance.

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The matrix P that orthogonally diagonalizes A is obtained by finding the eigenvalues and eigenvectors of A, normalizing the eigenvectors, and using them as columns of P.

First, we find the eigenvalues and eigenvectors of A:

|4-λ 1| (4-λ)(λ-1) - 1 = 0 → λ1 = 5, λ2 = 3

|1 4-λ|

For λ1 = 5, we get the eigenvector (1,1)/√2, and for λ2 = 3, we get the eigenvector (1,-1)/√2.

Thus, P = [ (1/√2) (1/√2); (1/√2) (-1/√2) ].

Then, P^-1AP = D, where D is the diagonal matrix of the eigenvalues of A.

P^-1 = P^T (since P is orthogonal), so we have:

P^-1AP = P^TAP = [ (1/√2) (1/√2); (1/√2) (-1/√2) ] [ 4 1; 1 4 ] [ (1/√2) (1/√2); (1/√2) (-1/√2) ] = [ 5 0; 0 3 ]

Therefore, the matrix P that orthogonally diagonalizes A is [ (1/√2) (1/√2); (1/√2) (-1/√2) ], and P^-1AP = [ 5 0; 0 3 ].

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Answer:F

Step-by-step explanation:

2/5=2 ÷ 5=0.4

Answer:

The probability is 8/48

Step-by-step explanation:

There is a total of 48 marbles and 8 of them are blue.

Answer:

\(\displaystyle A = 12\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Calculus

Integrals

Integration Rule [Reverse Power Rule]:                                                               \(\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C\)

Integration Rule [Fundamental Theorem of Calculus 1]:                                     \(\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)\)

Area of a Region Formula:                                                                                     \(\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx\)

Step-by-step explanation:

Step 1: Define

Identify

y = x

Interval: x = 1 to x = 5

Step 2: Sort

Graph the function. See Attachment.

Bounds of Integration: [1, 5]

Step 3: Find Area

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Book: College Calculus 10e

The answer of the given question is inferential statistics.

The mathematical procedures used to assume or understand predictions about the whole population, based on the data collected from a random sample selected from the population, are called inferential statistics.

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The mathematical procedures used to assume or understand predictions about the whole population based on data collected from a random sample selected from the population are called statistical inference techniques.

Statistical inference involves drawing conclusions, making predictions, and testing hypotheses about population parameters based on sample data. These techniques include methods such as estimation, hypothesis testing, confidence intervals, and regression analysis.

By using statistical inference, we can generalize findings from the sample to make inferences about the larger population, allowing us to make informed decisions and draw meaningful conclusions based on the available data.

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The equation y = x^2 + 5x - 6 can be factored as y = (x - 1)(x + 6). The x-intercepts of the equation are (1, 0) and (-6, 0).

To convert the equation y = x^2 + 5x - 6 to factored form, we factor the quadratic expression. The factored form is y = (x - 1)(x + 6).

To identify the x-intercepts, we set y = 0 and solve for x. Setting each factor equal to zero gives us x - 1 = 0, which leads to x = 1, and x + 6 = 0, which gives x = -6.

Therefore, the x-intercepts of the equation y = x^2 + 5x - 6 are (1, 0) and (-6, 0).

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Answer:

20 and 10

These are the only two possible numbers who match those descriptions.

Answer:

$270,000

Step-by-step explanation:

1. 3/10 = 30% and 30% of 3,000,000 is equal to 900,000

2. 900,000 divided by 1,000 is 90,000

Then, to calculate the dollar amount we do:

3. 90,000 x 3.00 = 270,000

In step 1, we found 3/10 of her total streams. In step 2, we found how many streams were monetized. And, in step 3 we found the amount of money she made off of those streams.

Hope this helps!

Answer:

\(\dfrac{3}{2\cos\theta - r\sin\theta}\)

Step-by-step explanation:

The polar coordinate system uses two parameters r and θ where r is the magnitude of the radius of the circle in polar form(also known as the radial coordinate) and θ  the angle which the which the radius makes relative to the x=axis

The following equations are used to convert from cartesian coordinate to polar coordinates

\(r = \sqrt{x^2 + y^2}\\\\\\x = r\cos\theta\\\\y= r\sin\theta\\\\\)

Substituting for x and y in terms of r and θ into the equation 2x - 3y = 3 gives

\(2x - y = 3\\\\2r\cos\theta - r\sin\theta = 3\\\\r(2\cos\theta - r\sin\theta = 3\\\\r = \dfrac{3}{2\cos\theta - r\sin\theta}\)

Answer:C

Step-by-step explanation:

i did it and it’s c the one with 0<_d<_ 7/3

Answer:

C. 0< d < 7/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/8

Answer:

1/8 or 0.125 or 12.5%

Step-by-step explanation: You can multiply both denominator and numerator of 3/4 to become 6/8. Then you subtract it from 7/8 which leaves you with 1/8.

F, E and D are exterior angles.

Exterior angles and corresponding interior angles are suppementary (they add up to 180°)

Use F to find the meaure of C:

Use E to find the measure of B:

The sum of the interiror angles of any triangle is 180°.

Use B and C to find the meaure of A:

Use A to find the meaure of D:

Answer:

C) 12√2

Step-by-step explanation:

According to the 45-45-90 triangle x should be a√2 and since a = 12 (in this case) the answer is 12√2.

Answer:

Option 3 is your correct answer.

Solution:

The probability of a sample mean being less than a z value of -1.18 is 0.1190 or 11.90%.

Explanation:

The probability of a sample mean being less than a z value of -1.18 can be found by looking at the z-table or using a calculator with a normal distribution function.

Using the z-table, we find the probability associated with a z-value of -1.18 to be 0.1190. This means that there is an 11.90% chance of a sample mean being less than -1.18 standard deviations from the mean.

Alternatively, using a calculator with a normal distribution function, we can input the z value of -1.18 and find the probability to be 0.1190 as well.

Therefore, the probability of a sample mean being less than a z value of -1.18 is 0.1190 or 11.90%.

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The probability of a sample mean being less than z value -1.18 is 0.1190, or 11.9%

The probability of a sample mean being less than z value -1.18 can be found by looking at a z-table or using a calculator with a normal distribution function.

A z-table is a table that shows the probabilities associated with standard normal distribution, with a mean of 0 and a standard deviation of 1. To find the probability of a sample mean being less than z value -1.18, we look up the value in the z-table.

The value in the z-table that corresponds to -1.18 is 0.1190. This means that the probability of a sample mean being less than z value -1.18 is 0.1190, or 11.9%.


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According to the given information, the absolute value is |x - 7/6| = 5/6.

What is an algebraic expression?

A mathematical expression known as an algebraic expression can include variables, integers, and mathematical operations including addition, subtraction, multiplication, and division.

When expressing quantities or values that might change depending on the values given to the expression's variables, algebraic expressions are utilised. Expressions in algebra can include one or more variables and be simple or complex.

Two solutions x=1/2, x=-1/3

|x - 7/6| = 5/6.

We know that the absolute value of (1/2 - 7/6) equals the absolute value of (-1/3 - 7/6) because they are opposites and have the same absolute value. So we need an expression that equals 5/6 when either 1/2 - 7/6 or -1/3 - 7/6 is plugged in for x.

To get an expression that equals 5/6 when 1/2 - 7/6 is plugged in for x, we can subtract 7/6 from 1/2 and take the absolute value of the result:

|1/2 - 7/6| = |-1/6| = 1/6.

To get an expression that equals 5/6 when -1/3 - 7/6 is plugged in for x, we can subtract 7/6 from -1/3 and take the absolute value of the result:

|-1/3 - 7/6| = |-9/6| = 3/2.

Since both expressions have the same absolute value of 5/6, we can use either one as the absolute value expression in the equation. Thus,

|x - 7/6| = 5/6.

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The trader could sell 4 covered call contracts on half of her shares, covering a total of 400 shares (4 contracts * 100 shares per contract), leaving her with 452 shares remaining uncovered.

To determine the number of covered call contracts a trader could sell when owning 852 shares of a stock and planning to cover half of her shares, we need to consider that each standard covered call contract typically covers 100 shares of the underlying stock.

Since the trader plans to sell covered calls on half of her shares, we can calculate the number of shares she wants to cover as 852/2 = 426 shares.

To determine the number of covered call contracts, we divide the number of shares to be covered by the number of shares covered per contract:

Number of contracts = Number of shares to be covered / Number of shares covered per contract

                  = 426 shares / 100 shares per contract

                  = 4.26 contracts.

Since contracts are usually traded in whole numbers, the trader could sell 4 covered call contracts. However, it's important to note that fractional contracts are generally not available, so in practical terms, the trader would likely round down to the nearest whole number.

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Answer:

c) -2y = 10x + 6

Step-by-step explanation:

The equation of a line in slope-intercept form is:

\(y=mx+b\)

The variables stand for:

\(y:$ y-coordinate of any point on the line\\$x:$ x-coordinate of any point on the lien\\$m: $ Slope of the line\\$b: $ y-intercept of the line; where the line meets the y-axis\)

Plugging in the given information into the equation:

\(y=-5x+(-3)\\y=-5x-3\)

Go through the answer choices:

a)  2y = -5x - 3

Divide both sides of the equation by 2

\(y=-\frac{5}{2}x-\frac{3}{2}\rightarrow\text{Incorrect!}\)

b) -2y = 10x - 6

Divide both sides of the equation by -2

\(y=\frac{10}{-2}x-\frac{6}{-2}\\y=-5x-(-3)\\y=-5x+3\rightarrow\text{Incorrect!}\)

c) -2y = 10x + 6

Divide both sides of the equation by -2

\(y=\frac{10}{-2}x+\frac{6}{-2}\\y=-5x+(-3)\\y=-5x-3\rightarrow\text{Correct!}\)

d) 2y = 10x - 6

Divide both sides of the equation by 2

\(y=\frac{10}{2}x-\frac{6}{2}\\y=5x-3\rightarrow\text{Incorrect!}\)

Therefore the answer is c) -2y = 10x + 6

Additional Comments:

We can only divide both sides of the equation by 2 and/or -2 because of the Division Property of Equality. This property states that if we divide one side of the equation by a certain quantity, we must divide the other side by the same quantity so that the equation remains equal.

Answer:

B

Step-by-step explanation:

its the second one

hope this helps :)

Given:

The sequence is

Required:

Find the first term, the second term, the third term, the fourth term and the 100th term.

Explanation:

The given sequence is:

Substitute n = 1

Substitute n = 2

Substitute n = 3

Substitute n = 4

The term of the sequence are:

The given series is in HP

We will write it in AP as:

So the common difference of the given sequence is:

The nth term of the AP series is given by the formula:

where a = first term

n = number of terms

d = common difference

This is the 100th term for the AP.

The 100th term of the given HP sequence is:

Final Answer:

Answer:

George will be right by the rule of BODMAS

Step-by-step explanation:

If the students use BODMAS rule, division comes before addition

y = -1/3x + 1

y = -2x - 3

We can compare the equations to the graphs and see which graph represents the intersection point of the two equations.

The first equation, y = -1/3x + 1, has a negative slope (-1/3) and a y-intercept of 1.

The second equation, y = -2x - 3, also has a negative slope (-2) and a y-intercept of -3.

Based on the slopes and y-intercepts, we can identify the correct graph by finding the point where the two lines intersect.

Unfortunately, since the graphs are not provided, I am unable to determine which specific graph shows the solution to the system of linear equations. I recommend referring to the graph representation of the equations and identifying the intersection point to determine the correct graph.

Answer:

point x

Step-by-step explanation:

it's like the positive side of the line, but in reverse. with negatives, the higher the number the lower it is and since 3.3 is bigger than 2 it would be closer to 4

Answer:

The correct number is 24

Step-by-step explanation: