An equation is written

ac-b=1

Based on the equation, which is a true statement?​

Its C. 1. Open the compass to the length of the original segment. 2. With the same compass setting, place the compass on the ray with the point of the compass on the endpoint. 3. Draw a ray. 4. Draw an arc that intersects the ray and mark the new endpoint.

Standard Error for the sample mean ≈ 0.037

The standard error for the sample mean measures the average amount of variability or uncertainty expected in the sample mean compared to the population mean.

It quantifies how much the sample mean is likely to deviate from the true population mean.

In this case, the actual size of computer chips is normally distributed with a mean of 2 centimeters and a standard deviation of 0.2 centimeters.

By taking a random sample of 30 computer chips, we can estimate the mean size of the population.

The standard error for the sample mean can be calculated using the formula:

Standard Error = Standard Deviation / √(Sample Size)

Standard Error = 0.2 / √(30)

Calculating the square root of 30, we find:

Standard Error ≈ 0.037

This indicates that the sample mean is expected to deviate from the true population mean by around 0.037 centimeters on average.

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Answer:

28 units squared

Step-by-step explanation:

It becomes a lot easier if you just try to plot the points on an axis, but i'll try to explain.

A and B are x-intercepts and the bottom two corners of the rectangle. C and D are the top two corners of the rectangle. Like any other case, to find the area, you need just two things:

1) height

2) width

To find the width:

Consider the distance between A and B - the bottom 2 corners. The coordinates are (2,0) and (6,0). Since we are trying to work out the width, just worry about the x-values. So, 6-2 = 4 and that is the width.

To find the height:

We'll take coordinates B and C - the bottom and top right corners of the rectangle. Coordinates are (6,0) and (6,7). Since we are trying to work out the height, just look at the y-values. So, 7 (top corner) - 0 (bottom corner) = 7, which is the height.

To figure out area:

Just multiply width by height, so:

4 x 7 = 28

And the area is 28 units squared. Change the units into whatever unit of measurement they give you (m, cm, mm etc.)

Hope this helped :)

The z-value for the test statistic is equal to 9.64.

In Mathematics and Statistics, the z-value for the test statistic of a population can be calculated by using the following mathematical equation;

\(t=\frac{x\;-\;u}{\frac{\delta}{\sqrt{n} } }\)

Where:

By substituting the given parameters into the formula for z-test statistic, we have the following;

z-test statistic, t = (6.1 - 3.7)/(2.4/√93)

z-test statistic, t = (6.1 - 3.7)/(2.4/9.6436507609929549957600310474327)

z-test statistic, t = 2.4/0.24886840673530206440671047864342

z-test statistic, t = 9.64

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The dimensions of the carpet are 73 x 43. = 3139.

In mathematics, a dimension is a way to quantify the size or separation of an area, an object, or a space inside one direction. In simpler terms, It is just the measurements of an object's length, width, and height.

Geometric figures can be created using any configuration of points, lines, or planes. Depending on their dimensions, geometric figures can be categorized as either a space figure, a surface figure, a line, another line segment, a ray, or a point.

The perimeter of the carpets = is 232.

The length of the carpet = 30 in.

In a rectangle, the edge is P = 2W + 2L

In this case 232 = 2W + 2L

Also, the 2nd sentence says L = W + 30

This length variable can be changed in the perimeter formula:

232 = 2W + 2(W+30)

232 = 2W + 2W + 60

232 = 4W + 60

172 = 4W

43 = W

Then, since L = W+30

L = 43+30 = 73

So the dimensions of the carpet are 73 x 43. = 3139.

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Answer:

y = 156 degrees

Step-by-step explanation:

90-66=24

180-24= 156

Answer:

y is 156°.

Step-by-step explanation:

We know ∠FED is 66°, and ∠FED & ∠DEB (or z) equal 90° degrees. That means ∠z is 24° degrees as is ∠x, since it is adjacent to ∠z. ∠x and ∠y are supplementary, which meant they equal 180°. Subtract 24° (∠x's measurement ) from 180° to get your final answer of y being 156°.

I hope this helps!~

The confidence interval and critical value methods are equivalent in providing an interval estimate, the p-value method is used for hypothesis testing and evaluates the strength of evidence against the null hypothesis.

What is the confidence interval?

A confidence interval is a range of values that is likely to contain the true value of an unknown population parameter, such as the population mean or population proportion. It is based on a sample from the population and the level of confidence chosen by the researcher.

In general, when dealing with inferences for two population proportions, the confidence interval method and the critical value method are equivalent. These two methods provide a range of plausible values (confidence interval) for the difference between two population proportions and involve the calculation of critical values to determine the margin of error.

On the other hand, the p-value method is not equivalent to the confidence interval and critical value methods. The p-value method involves calculating the probability of observing a test statistic as extreme as, or more extreme than, the one obtained from the sample data, assuming the null hypothesis is true. It is used in hypothesis testing to determine the statistical significance of the difference between two population proportions.

To summarize:

- Confidence interval method: Provides a range of plausible values for the difference between two population proportions.

- Critical value method: Uses critical values to determine the margin of error in estimating the difference between two population proportions.

- P-value method: Determines the statistical significance of the observed difference between two population proportions based on the calculated p-value.

Hence, the confidence interval and critical value methods are equivalent in providing an interval estimate, the p-value method is used for hypothesis testing and evaluates the strength of evidence against the null hypothesis.

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Answer:

x = 67

y = 23.5

Step-by-step explanation:

Sum of angles in a triangle is supplementary,

x + 90 + 23 = 180

x + 113 = 180

x = 180 - 113

x = 67

y = ?

180 - 67 / 2

= 133 / 2

= 66.5

y + 66.5 = 90

y = 90 - 66.5

y = 23.5

Answer:

\(x = 4\)

Step-by-step explanation:

Solve for \(x\) :

\(2x - 1 = 7\)

-Add both sides by \(1\) :

\(2x - 1 + 1 = 7 + 1\)

\(2x = 8\)

-Take \(2x\) and divide it on both side of the equation:

\(\frac{2x}{2} = \frac{8}{2}\)

\(x = 4\)

So, the value of \(x\) is \(4\).

The child advocate collects data by randomly selecting 4 out of the 25 state orphanages. In each of the four selected orphanages, the child advocate surveys every child.

This approach allows the child advocate to obtain information from a representative sample of children in state orphanages. By surveying every child in the selected orphanages, the child advocate ensures that no child is excluded from the data collection process. This method provides a comprehensive understanding of the experiences, needs, and concerns of the children in the four chosen orphanages.

By collecting data in this manner, the child advocate can gather valuable insights that can inform policies and interventions to improve the well-being and support for children in state orphanages.

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Answer:

Step-by-step explanation:

there would be 2 left over

Answer:

SAS

Step-by-step explanation:

The postulate SAS identifies that the shape has two sides, and the unincluded angle in the middle.

Hope this helps!

Answer:

See below

Step-by-step explanation:

Odds AGAINST are 3 to5        then odds FOR are  2 to 5

    2/5   = .4 = 40%   chance of winning

The given statement exists true. A matrix is broken down into orthogonal (Q) and upper triangular (R) matrices in a process known as QR decomposition (factorization).

A matrix can be expressed as the union of two distinct matrices, Q and R, using the QR matrix decomposition. R is a square upper/right triangular matrix and Q is an orthogonal matrix. R is also invertible because it is square and doesn't have zeros in its diagonal entries.

A matrix is broken down into orthogonal (Q) and upper triangular (R) matrices in a process known as QR decomposition (factorization). Finding eigenvalues and solving linear least squares problems both use QR factorization.

A = QR. Be aware that the QR-factorization of a rectangular matrix A is sometimes understood with Q square and R rectangular rather than Q rectangular and R square, as with the MATLAB command qr.

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Answer:

Multiply to remove the fraction, then set equal to  

0

and solve.

Exact Form:

y

=

1

50

Decimal Form:

y

=

0.02

Step-by-step explanation:

Therefore, the truth value of Proposition 2A is False.

To determine the truth value of Proposition 2A, let's substitute the given truth values for the variables:

A = True

B = True

X = False

Y = False

Now let's evaluate the truth value of each component of the proposition:

(X ⊃ A) • (B ⊃ ∼ Y):

(False ⊃ True) • (True ⊃ ∼ False)

(True ⊃ True) • (True ⊃ True)

True • True

True

(B ∨ Y) • (A ⊃ X):

(True ∨ False) • (True ⊃ False)

True • False

False

[(X ⊃ A) • (B ⊃ ∼ Y)] ⊃ [(B ∨ Y) • (A ⊃ X)]:

True ⊃ False

False

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Step-by-step explanation:

ID: 867 526 2628 Passcode: 12345

The first runner covers 30 yards in 4 seconds, a speed of 5 yards per second. The second runner covers a distance of 20 yards in 4 seconds but starts 10 yards ahead. Both runners have a speed of 5 yards per second.

The first runner maintains a constant speed of 5 yards per second and covers a distance of 30 yards in 4 seconds. The second runner also has a speed of 5 yards per second but starts 10 yards ahead. Therefore, the second runner covers a shorter distance of 20 yards in the same 4 seconds.

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Answer:

just a guess I would say 70cm squared.

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:

First, we have to set it from least to greatest 11, 12, 12, 13, 14, 15, 16, 17, 18

The  interqurtile range is q3 - q1

Q3 is 16.5 and the q1 is 12

16.5 - 12 = 4.5

Step-by-step explanation:

Answer is 4.5

Interquartile range (IQR) :

The interquartile range shows the range in values of the central 50% of the data. To find the interquartile range, subtract the value of the lower quartile ( or 25%) from the value of the upper quartile ( or 75%).

=>  IQR = Q3 – Q1

Here,

First Arrange the data in ascending order.

11, 12, 12, 13, 14, 15, 16, 17, 18

Median = 14.

Q1 = 12 and Q3 = 16.5

IQR = Q3 - Q1 => 16.5 - 12 = 4.5

Answer is 4.5

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To compute the z-score for each observation, we need to standardize the data using the formula z = (x - μ) / σ, where x is the individual observation, μ is the mean of the sample, and σ is the standard deviation of the sample.

Given the sample observations: 16, 11, 13, 22, 15, and 19, we can calculate the z-score for each observation as follows:

Calculate the mean (μ) of the sample:

μ = (16 + 11 + 13 + 22 + 15 + 19) / 6 = 16

Calculate the standard deviation (σ) of the sample:

Step 1: Calculate the squared deviations from the mean for each observation:

(16 - 16)², (11 - 16)², (13 - 16)², (22 - 16)², (15 - 16)², (19 - 16)²

0, 25, 9, 36, 1, 9

Step 2: Calculate the variance:

Variance = (0 + 25 + 9 + 36 + 1 + 9) / 6 = 80 / 6 ≈ 13.33

Step 3: Calculate the standard deviation:

σ = √(Variance) = √13.33 ≈ 3.65

Calculate the z-score for each observation:

z = (x - μ) / σ

For 16: z = (16 - 16) / 3.65 = 0 / 3.65 = 0

For 11: z = (11 - 16) / 3.65 = -5 / 3.65 ≈ -1.37

For 13: z = (13 - 16) / 3.65 = -3 / 3.65 ≈ -0.82

For 22: z = (22 - 16) / 3.65 = 6 / 3.65 ≈ 1.64

For 15: z = (15 - 16) / 3.65 = -1 / 3.65 ≈ -0.27

For 19: z = (19 - 16) / 3.65 = 3 / 3.65 ≈ 0.82

The z-scores for the given sample observations are: 0, -1.37, -0.82, 1.64, -0.27, and 0.82.

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The domain of the function is: x ∈ [0, ∞)

To find the domain of a function, we need to identify all the values of the independent variable (usually denoted as x) for which the function is defined.

The expression y = x√(x+1) indicates a function that depends on x. The domain of a function is the set of all values of x for which the function is defined.

Since the square root of a negative number is not defined in the real numbers, we must have x+1 ≥ 0, which implies x ≥ -1. However, the condition x > 0 is also given, which means that the domain must satisfy both x > 0 and x ≥ -1. Therefore, the domain of the function is:

x ∈ [0, ∞)

or, in interval notation,[0, ∞).

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am answering from two to ten

Answer:

16 ft.

Step-by-step explanation:

A=LW

Area=Length times Width

We have the area and the Width.

112=Lx7

112÷7=L

L=16

The Length (n) is 16ft.

Answer:

Step-by-step explanation:

(x,y)→(11.2x,11.2y)

Three cards are randomly drawn from a standard deck. The probability it will be 7, 7, and face cards subsequently is 0.0011

The formula for the conditional probability is given by:

P(A∩B) = P(A|B) . P(B)

Where:

P(A∩B) = probability of A and B occur

P(A|B) = Probability of A occurs if B occurs

P(B) = probability of B occurs

In the given problem, the standard deck has 52 cards. Three cards are drawn subsequently from the deck.

1st draw:

There are 4 cards in the deck with number 7, hence:

P(7) = 4/52 = 1/13

2nd draw:

The remaining cards now = 51.

Suppose the first card is 7, then the probability the 2nd card is also 7 is:

P(7 | 7) = 3/51 = 1/17

3rd draw:

Suppose the first and the second cards are 7.

Number of face cards = 3 x 4 = 12

remaining cards = 50.

Hence,

P(face |(7|7)) = 12/50 = 6/25

Finally,

P(7,7,face) = 1/13 x 1/17 x 6/25 =  6/5525 = 0.0011

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The equation that can be solved to determine x, the number of hours after which the costs would be the same is; 50x + 250 = 75x + 100

The general formula for the slope intercept form of an equation is;

y = mx + c

We are told that;

Charge per hour = $50

Ownership rights = $250

Thus, for the first company, total cost is;

y = 50x + 250

For the second company;

Total cost is;

y = 75x + 100

Thus, at same cost, we have;

50x + 250 = 75x + 100

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Answer:

50x + 250 = 75x + 100

Step-by-step explanation:

I did the test

77.5d + .14m

m = 425

.14 * 425 = 59.5

77.5d + 59.5 ≤ 230

77.5d ≤ 170.5

d ≤ 170.5/77.5

d ≤ 2.2

if they only take payment for whole days, he has 2 whole days

For the function f(x) = ⌊x²/3⌋, the values of f(s) for different sets s are as follows: a) f(s) = {1, 0, 0, 0, 1, 3}, b) f(s) = {0, 0, 1, 3, 5, 8}, c) f(s) = {0, 8, 16, 40}, d) f(s) = {1, 12, 33, 77}

The function f(x) = ⌊x²/3⌋ represents the floor of x²/3. To find f(s) for different sets s, let's evaluate it for each case:

a) For s = {-2, -1, 0, 1, 2, 3}:

  - For -2, (-2)²/3 = 4/3, and ⌊4/3⌋ = 1.

  - For -1, (-1)²/3 = 1/3, and ⌊1/3⌋ = 0.

  - For 0, (0)²/3 = 0/3 = 0.

  - For 1, (1)²/3 = 1/3, and ⌊1/3⌋ = 0.

  - For 2, (2)²/3 = 4/3, and ⌊4/3⌋ = 1.

  - For 3, (3)²/3 = 9/3 = 3.

  Therefore, f(s) = {1, 0, 0, 0, 1, 3}.

b) For s = {0, 1, 2, 3, 4, 5}:

  - For 0, (0)²/3 = 0/3 = 0.

  - For 1, (1)²/3 = 1/3, and ⌊1/3⌋ = 0.

  - For 2, (2)²/3 = 4/3, and ⌊4/3⌋ = 1.

  - For 3, (3)²/3 = 9/3 = 3.

  - For 4, (4)²/3 = 16/3, and ⌊16/3⌋ = 5.

  - For 5, (5)²/3 = 25/3, and ⌊25/3⌋ = 8.

  Therefore, f(s) = {0, 0, 1, 3, 5, 8}.

c) For s = {1, 5, 7, 11}:

  - For 1, (1)²/3 = 1/3, and ⌊1/3⌋ = 0.

  - For 5, (5)²/3 = 25/3, and ⌊25/3⌋ = 8.

  - For 7, (7)²/3 = 49/3, and ⌊49/3⌋ = 16.

  - For 11, (11)²/3 = 121/3, and ⌊121/3⌋ = 40.

  Therefore, f(s) = {0, 8, 16, 40}.

d) For s = {2, 6, 10, 14}:

  - For 2, (2)²/3 = 4/3, and ⌊4/3⌋ = 1.

  - For 6, (6)²/3 = 36/3 = 12.

  - For 10, (10)²/3 = 100/3, and ⌊100/3⌋ = 33.

  - For 14, (14)²/3 = 196

The values of f(s) for the given sets show how the function ⌊x²/3⌋, which represents the floor of x²/3, behaves for different inputs.

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