A compound event in which the outcome of one event is affected by the outcome of another event is considered _________ events.

Question 1 options:

A. dependent


B. independent

Answer:

-7

Step-by-step explanation:

so first we multiply 5 to the numbers in the parenthesis

-30=5X+5

then we subtract 5 from both sides

-30=5X+5

-5          -5

which equals

-35=5X

then we divide 35by5 which is 7 and since 35 is negative the answer will be

X= -7

hope you understand

If an nxn matrix A are linearly independent when A is invertible, because option (C) If A is invertible, then the equation Ax = 0 has the unique solution x=0. Since Ax = 0 has only the trivial solution, the columns of A must be linearly independent.

When a matrix A is invertible, it means that there exists a matrix A^-1 such that AA^-1 = A^-1A = I, where I is the identity matrix.

Now suppose that the columns of A are linearly dependent. This means that there exist scalars c1, c2, ..., cn, not all zero, such that

c1A[:,1] + c2A[:,2] + ... + cn×A[:,n] = 0

where A[:,i] represents the i-th column of the matrix A.

In other words, there exists a non-zero vector x = [c1; c2; ...; cn] such that Ax = 0.

Multiplying both sides by A^-1, we get:

A^-1(Ax) = A^-1(0)

x = 0

But this contradicts our assumption that x is non-zero. Therefore, the columns of A must be linearly independent

Therefore, the correct option is (C) If A is invertible, then the equation Ax = 0 has the unique solution x=0. Since Ax = 0 has only the trivial solution, the columns of A must be linearly independent.

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The given question is incomplete, the complete question is:

Explain why the columns of an nxn matrix A are linearly independent when A is invertible. Choose the correct answer below.

A) -1 If A is invertible, then A has an inverse matrix A Since AA = I, A must have linearly independent columns.

B) If A is invertible, then for all x there is a b such that Ax = b. Since x = 0 is a solution of Ax = 0, the columns of A must be linearly independent.

C) If A is invertible, then the equation Ax = 0 has the unique solution x=0. Since Ax = 0 has only the trivial solution, the columns of A must be linearly independent.

D) If A is invertible, then A has an inverse matrix A-1. Since AA-1 =A-1A, A must have linearly independent columns.

Answer:

the answer is 3,456 I hope it helps

Answer:

A $2000

Step-by-step explanation:

Let x be the least amount of money the club has to make to get $600 then...

30%x=600

We can convert 30% to a fraction. Any percentage is that number percent over hundred:

\(\frac{30}{100}x=600\)

Simplify the fraction by dividing it by 10/10. Notice we can only do this since 10/10 is equivalent to 1, so in a sense we are dividing the fraction by 1:

\(\frac{3}{10}x=600\)

Multiply 10 to both sides

\(3x=6000\)

Divide both sides by 3

\(x=2000\)

The club would have to make at least $2000

The values of the given expressions are |u| + |v| = √57 + √41, |-4u| + 2|v| = 4√57 + 2√41, |8u - 2v + w| = √2626 and w/|w| = (-3/√14)i + (1/√14)j + (-2/√14)k.

Given vectors are u = 4i - 5j - 4k, v = -4j - 5k, and w = -3i + j - 2k.

To find |u| + |v|, we first need to find the magnitude of vectors u and v.

|u| = √(4^2 + (-5)^2 + (-4)^2) = √57

|v| = √((-4)^2 + (-5)^2) = √41

Therefore, |u| + |v| = √57 + √41.

To find |-4u| + 2|v|, we need to find the magnitude of vectors -4u and 2v.

|-4u| = 4|u| = 4√57

|2v| = 2|v| = 2√41

Therefore, |-4u| + 2|v| = 4√57 + 2√41.

To find |8u - 2v + w|, we first need to compute 8u - 2v + w.

8u - 2v + w = 8(4i - 5j - 4k) - 2(-4j - 5k) + (-3i + j - 2k)

= (32i - 40j - 32k) + (8j + 10k) + (-3i + j - 2k)

= 29i - 31j - 24k

Now, we can find the magnitude of the resulting vector.

|8u - 2v + w| = √(29^2 + (-31)^2 + (-24)^2) = √2626

To find the unit vector in the direction of w, we first need to find the magnitude of w.

|w| = √((-3)^2 + 1^2 + (-2)^2) = √14

Then, the unit vector in the direction of w is w/|w|.

w/|w| = (-3/√14)i + (1/√14)j + (-2/√14)k.

Therefore, the values of the given expressions are:

|u| + |v| = √57 + √41

|-4u| + 2|v| = 4√57 + 2√41

|8u - 2v + w| = √2626

w/|w| = (-3/√14)i + (1/√14)j + (-2/√14)k.

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Statistical process control technique that permits only 3.4 defects per million opportunities is Six Sigma.

Six Sigma is a statistical technique that emphasizes the necessity of a standardized approach to enhancing and optimizing the efficiency of the production and management processes by reducing the variation and waste within them. It concentrates on controlling a process to ensure that the results of a process are consistent and reliable by using statistical methods. The objective of the Six Sigma process is to produce 3.4 errors or defects per million opportunities. If the process is better than Six Sigma, it is considered more consistent and predictable.
Six Sigma's statistical approach to process control encompasses a range of tools and methods. Six Sigma's primary objective is to increase revenue and profits by developing and delivering high-quality products and services while eliminating defects and reducing waste.
Six Sigma aims to improve quality by detecting and reducing the reasons for variations in production processes. It accomplishes this by developing quality management practices that enable it to assess quality, establish goals, and implement best practices to achieve those goals.
In conclusion, Six Sigma is a process control approach that emphasizes statistical methods for process control and improvement. Six Sigma is used to reduce variability and eliminate waste, and its goal is to achieve 3.4 defects per million opportunities.

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The probability of getting 2 blue candies without replacement from a bag of 7 red candies and 5 blue candies can be calculated as follows:

First, we need to find the total number of ways to choose 2 candies from the bag, which is:

12 choose 2 = (12!)/(2!*(12-2)!) = 66

Next, we need to find the number of ways to choose 2 blue candies from the bag, which is:

5 choose 2 = (5!)/(2!*(5-2)!) = 10

Therefore, the probability of getting 2 blue candies without replacement from the bag is:

10/66 = 5/33

So the probability of getting 2 blue candies without replacement from the bag is 5/33, or approximately 0.152.

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Duane is making a casserole for dinner. he has been cooking the casserole for 111 hour and 484848 minutes. the casserole needs to cook for 474747 more minutes, the casserole cook in total in minute 966255.

Casseroles are mainly cooked slowly in the oven, often uncovered. They may be served as a main course or side dish, and, conveniently, may be served in the vessel in which they were cooked. It's necessary to heat a casserole thoroughly before eating it; use an instant-read thermometer to make sure the casserole is at 165 degrees F for safe consumption.

Add together how long it has been cooking plus how long it needs to cook.

⇒ 111 hour and 484848 minute + 474747 minute

⇒ 491508 + 474747

⇒ 966255 minute.

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Answer:96

Step-by-step explanation:

uwu yay

The required equation represents the inverse function b(a), which takes the trapezoid's area is B(a) = a/6 - 9.

A trapezoid is a quadrilateral having two parallel bases and one set of other sides called as legs.

We have been given that the trapezoid's base is nine and its height is twelve.

As an outcome, 'b' is the base's parallel side.

The function that represents the trapezoid's area is given by:

A(b) = [12(b + 9)]/2

Let's consider A(b) = a

Then, a =  [12(b + 9)]/2

Now solving for b, we get

2a = 12(b + 9)

a = 6(b + 9)/2

a = 6b + 54

6b = a - 54

b = (a - 54)/6

b = a/6 - 9

Assuming that the length of the side parallel to the base 'b' = B(a), the equation will be:

B(a) = a/6 - 9

Thus, the correct answer would be option A. B(a) = a/6 - 9.

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Answer:

C. 80°

Step-by-step explanation:

Recall: SOH CAH TOA

Reference Angle = J

Opposite = 60

Adjacent = 11

Hypotenuse = 61

Apply trigonometric function, SOH, which is:

Sin J = Opp/Hyp

Sin J = 60/61

\( J = sin^{-}(\frac{60}{61}) \)

J = 79.6111422°

J = 80° (nearest degree)

Ii is the estimated value of the integral at the ith iteration, and I is the overall estimated value of the integral. We can stop the algorithm when the standard deviation σ is less than 0.01.

The standard deviation (SD, also written as the Greek symbol sigma or the Latin letter s) is a statistic that is used to express how much a group of data values vary from one another.

To estimate the integral I = ∫[1 to 0] \(e^{(x^2)\) dx using Monte Carlo simulation, we can use the following algorithm:

To stop when the standard deviation of the estimator is less than 0.01, we can keep track of the estimated value of the integral and the number of points generated at each iteration of the algorithm. We can compute the standard deviation of the estimator using the formula:

σ = √((1/N) * Σ[i=1 to N] (Ii - I)²)

where N is the number of iterations, Ii is the estimated value of the integral at the ith iteration, and I is the overall estimated value of the integral. We can stop the algorithm when the standard deviation σ is less than 0.01.

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Yes, that is correct.

A z-score, also known as a standard score, is a measure of how many standard deviations a data point is away from the mean of a normal distribution. When the mean is 0 and the standard deviation is 1, the normal distribution is known as the standard normal distribution. Z-scores are useful for comparing data points from different normal distributions and for calculating probabilities in a standard normal distribution. For example, a z-score of 1.5 means that the data point is 1.5 standard deviations above the mean of the standard normal distribution.

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Answer:

C

Step-by-step explanation:

Answer:

answer is B

Step-by-step explanation:

Total frequency = 56.

          Total fx = 1717

          midpoint of 45-49 = 47

          Mean of the data = 30.7

          Median of the data = 31.3

          Mode of the data = 32.5

A measure of central tendency (also referred to as measures of centre or central location) is a summary measure that attempts to describe a whole set of data with a single value that represents the middle or centre of its distribution.

Here, total frequency  ∑f = 5+7+9+11+8+7+5+4

                                    = 56       (option B)

Total fx or ∑fx = 12X4 + 17X5 + 22X7 + 27X8 + 32X11 + 37X9 + 42X7+ 47X5

                        = 48 + 85 + 154 + 216 + 352 + 333 + 294 + 235

                        = 1717               (option B)

The midpoint of the score 45-49 = (45 + 49)/2  

                                                        = 47         (option B)

Mean of the data = ∑fx/ ∑f

                             = 1717 / 56

                             = 30.7                      (option D)

Median of the data = 31.3                (option A)

Mode of the data = 32.5                  (option B)

Thus, Total frequency = 56.

          Total fx = 1717

          midpoint of 45-49 = 47

          Mean of the data = 30.7

          Median of the data = 31.3

          Mode of the data = 32.5

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Answer: 56

Step-by-step explanation:

Answer:

127.28

Step-by-step explanation:

The formula for the diagonal of a square is:

Diagonal = The square root of: 2, multiplied by the length of one side.

Answer:

The angle of DGC is 90 degrees

the value of x is positive 8

Step-by-step explanation:

xoxo brooke

a)The expected profit is $4,000. b)The standard deviation for the profit is approximately $4,898.98.

a) To calculate the expected profit, we multiply the profit by the probability of it happening:

Expected profit = Profit * Probability

Given:

Profit = $10,000

Probability = 40% = 0.4

Expected profit = $10,000 * 0.4 = $4,000

Therefore, the expected profit is $4,000.

b) To find the standard deviation for the profit, we need more information about the probability distribution of the profit. If we assume that the profit follows a Bernoulli distribution (with only two possible outcomes: getting the contract or not), we can calculate the standard deviation using the formula:

Standard deviation = √(Probability * (1 - Probability) * Profit^2)

Given:

Profit = $10,000

Probability = 40% = 0.4

Standard deviation = √\((0.4 * (1 - 0.4) * $10,000^2)\)

                = √(0.4 * 0.6 * $100,000,000)

                = √(24,000,000)

                ≈ $4,898.98

Therefore, the standard deviation for the profit is approximately $4,898.98.

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Answer:

I do want to help, but i'm on school computer, and school computers BLOCK every image on brainly

Step-by-step explanation:

Answer:

y - 5x - 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Simplify:

31−(5−3⋅4)*2+26÷4=

31-(5-12)*2+6.5=

31-(-7)*2+6.5=

31+14+6.5=

51.5

Answer:

0.90 seconds

Step-by-step explanation:

We will see that one complete revolution takes (2π/7) seconds.

Here we have the function:

f(x) = 33sin(7x−π/12) + 33

The time needed to do a full revolution is given by the period of the function.

Remember that:

sin(x) = sin(x + 2π).

Then:

sin(7x−π/12) = sin(7*(x + T) −π/12)

Then we must have:

2π = 7*T

Where T is the period.

Solving for T, we have:

2π/7 = T

This means that one complete revolution takes (2π/7) seconds.

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The correct option is D that is the value of se represents the standard error of the estimate, which is a measure of the variability of the errors in predicting the response variable (weights) from the predictor variable (heights) using the regression equation.

Specifically, se represents the standard deviation of the residuals, which are the differences between the observed values of the response variable and the values predicted by the regression equation. A smaller value of se indicates that the regression equation provides a better fit to the data and that the predictions of the response variable are more accurate.

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The domain of the graphed function is the one in the first option.

D: 0 ≤ x ≤ 16

For a function y = f(x), wedefine the domain as the set of the possible inputs for the function (this is, the set of the possible values of x).

To identify the domain, you need to look at the horizontal axis, here we can see that the graph goes from x 0 to x = 16, then the domain will be:

D: 0 ≤ x ≤ 16

Then the correct option is the first one.

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Answer:\(98.13\ \text{or}\ 261.87^{\circ}\)

Step-by-step explanation:

Given

\(\cos \beta =-\dfrac{\sqrt{2}}{10}\)

As the value of cosine is negative, therefore the angle must lie in II or III quadrant

\(\Rightarrow \beta =\cos^{-1}(-\dfrac{\sqrt{2}}{10})\\\Rightarrow \beta=\cos^{-1}(-0.14142)\\\Rightarrow \beta =98.13^{\circ}\ \text{or}\ 270^{\circ}-8.13\\\Rightarrow \beta=98.13^{\circ}\ \text{or}\ 261.87^{\circ}\)

Answer: 24 of 80 is 30%

Step-by-step explanation:

24 of 80 can be written as: 24/80

To find percentage, we need to find an equivalent fraction with denominator 100. multiply both numerator & denominator by 100: 24/80 x 100/100

= (24x100 / 80 ) x 1/10 = 30/100

Therefore, the answer is 30%

If you are using a calculator, simply enter 24÷80×100 which will give you 30 as the answer.

Answer: 25

Step-by-step explanation:

they are corresponding angles