Plotting points in R3 For each point P(x, y, z) given below, let A(x, y, 0), B(x, 0, z), and Clo, y, z) be points in the xy-, xz-, and yz-planes, respectively. Plot and label the points A, B, C, and P in R3. 13. a. P(2, 2, 4) b. P(1, 2,5) c. P(-2,0,5) 14. a. P(-3,2, 4) b. P(4, -2, -3) c. P(-2, -4,-3)

The daily inpatient census for July 16 is 271.

To determine the daily inpatient census for July 16, we need to take into account the census at midnight on July 15, the number of discharges, admissions, and additional patients (content loaded) throughout the day on July 15 and July 16.

Starting with the census at midnight on July 15 of 239, we subtract the number of discharges (59) and add the number of admissions (67) and additional patients (24) to get the total number of patients in the hospital on July 16.

239 - 59 + 67 + 24 = 271

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hectarea we xdddddddddddd

The sample space of the experiment is {(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)}. The probability that there were 13 carrots in total planted over the two days is 0.4 and the probability that an odd number of carrots were planted on the second day is 0.4.

a) Sample space: {(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)}

b) i). There are 6 ways of planting 13 carrots, and there are 15 possible outcomes for planting carrots. Hence,

P(13) = 6/15

P(13) = 0.4

ii). We can have odd total carrots only if we have an odd number of carrots planted on both days or we plant 5 carrots on the first day and 7 carrots on the second day. Therefore, the sample space is {(4,5),(6,5),(4,7),(6,7),(5,5),(5,7)}. There are 6 possible outcomes for planting an odd number of carrots. Hence,

P(odd) = 6/15

P(odd) = 0.4

c) The events are mutually exclusive because if an odd number of carrots are planted on the second day then the total number of carrots planted cannot be 13.

d) We know P(13) = 0.4 and P(odd) = 0.4, and P(13 and odd) = 0, so the events are not statistically independent.

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Answer:

x=1.9

Step-by-step explanation:

\(\frac{x}{4.6} =\frac{4.6}{11}\)

\(11x=21.16\)

\(X=1.9\)

Answer:

20=6?

Step-by-step explanation:

14-2+8=2*3

14-2+8=6

12+8=6

20=6?

Answer:

These to equations aren't equivalent.

Step-by-step explanation:

14-2+8=2*3

12+8=6

20=6

Hope this helps ;) ❤❤❤

A. Using the distance formula, we can state that the opposite sides are congruent because AD = BC = √10 units and AB = CD = √40 units.

B. The diagonals are equal, AC = BD = √50 units.

C. Based on the slopes of each side, there are 4 right angles on the rectangle.

The distance formula is used to find the distance that exist between tow points that are on a coordinate plane. The formula is: d = \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\).

What is the Slope of a Line?

Slope = change in y / change in x.

A. The coordinates of each of the vertices of the rectangle are:

A(1, 2)

B(7, 4)

C(8, 1)

D(2, -1)

Use the distance formula to find AB, CD, BC, and AD.

AB = √[(7−1)² + (4−2)²]

AB = √40

CD = √[(2−8)² + (−1−1)²]

CD = √40

BC = √[(8−7)² + (1−4)²]

BC = √10

AD = √[(2−1)² + (−1−2)²]

AD = √10

Therefore, the opposite sides are congruent because AD = BC = √10 units and AB = CD = √40 units.

B. The diagonals are AC and BD. Find their lengths using the distance formula:

AC = √(8−1)² + (1−2)²]

AC = √50 units

BD = √[(2−7)² + (−1−4)²]

BD = √50 units

Therefore, the diagonals are equal, AC = BD = √50 units.

C. Find the slope of AB, CD, BC, and AD:

Slope of AB = change in y / change in x = rise/run = 2/6 = 1/3

Slope of CD = 2/6 = 1/3

Slope of BC = -3/1 = -3

Slope of AD = -3/1 = -3

-3 is the negative reciprocal to 1/3, this means that, if the two lines that meet at a corner have these two slope, then they will form a right angle because they are perpendicular to each other.

Therefore, there are 4 right angles on the rectangle.

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To show that w = u × v and v = w × u, we need to demonstrate that the cross product of vectors u and v yields the same result as the cross product of vectors w and u.

Given that u = v × w, let's calculate the cross product of w and u:

w × u = (u × v) × u

Since the cross product is not associative, we need to use the vector triple product identity:

w × u = u × (v × u) - (u · u) v

Since u is orthogonal to v, the dot product (u · v) is zero. Therefore, we can simplify the equation:

w × u = u × (v × u)

Next, let's calculate the cross product of v and u:

v × u = (u × v) × v

Using the vector triple product identity:

v × u = v × (u × v) + (v · v) u

Again, since u is orthogonal to v, the dot product (v · v) is zero:

v × u = v × (u × v)

Thus, we have shown that w = u × v and v = w × u, indicating that the cross products are equivalent in both directions.

In summary, when u, v, and w are orthogonal unit vectors, the cross product of u and v yields the same result as the cross product of w and u, as well as the cross product of v and w.

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Answer:

x = -6f

Step-by-step explanation:

solve for x by simplifying both sides of the equation, then isolating the variable.

In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.

The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.

We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.

Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.

Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000

We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)

Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0

Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.

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An inverse does not exist for a parabola.

A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics.

It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves.

An inverse does not exist for a parabola.

One definition of a parabola includes a line and a point (the focus) (the directrix).

The directrix is not the main focus.

The locus of points in that plane that are equally spaced apart from the directrix and the focus is known as the parabola.

A right circular conical surface and a plane parallel to another plane that is tangential to the conical surface intersect to form a parabola, which is also known as a conic section.

Therefore, an inverse does not exist for a parabola.

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Answer:

3 x 3 x 3 x 3 x 3 x 3 x 3 = 2,187

(or 3 x 7 = 2,187)

2,187 x 9 = 19,683

Step-by-step explanation:

The little seven next to the three is a exponent, that means there is the amount of threes as the exponent. Find out what 3 x 7 is. You should have gotten 2,187. Then multiply that answer that you got with the number you are multiplying with (9). You should get your answer 19,683.

Hope this helped you understand :)

Answer:

y-1=2(x-3)

Step-by-step explanation:

Point slope form is \(y-y_{1} =m(x-x_{1} )\). m = the slope. \(1=y_{1}\) and \(3=x_{1}\) now you plug it in. y-1=2(x-3).

\(\text{Given that,}\\\\(x_1,y_1)=(3,1) ~ \text{and slope, m=2}\\\\\text{The equation,}\\\\y-y_1 = m(x-x_1)\\\\\implies y -1 = 2(x -3) \\\\\implies y = 2(x-3) +1 \\\\\implies y =2x-6 +1\\\\\implies y =2x -5\)

Answer:

Step-by-step explanation:

Answer:

11259.5

Step-by-step explanation:

25×386+3219÷2

Multiply 25 and 386 to get 9650.

9650+3219/2

Convert 9650 to fraction 19300/2.

19300/2+3219/2

Since 19300/2 and 3219/2 have the same denominator, add them by adding their numerators.

19300+3219/2

Add 19300 and 3219 to get 22519.

22519/2

Divide 22519 by 2 to get 11259.5.

11259.5

The area of the region enclosed by the graphs of y=x^3+8 and y=x+8 is 24. This is found by calculating the area under each graph and subtracting the area of the overlap and the area outside the region.

The area of the region can be calculated by finding the area under the two graphs, subtracting the area of the overlap and then subtracting the area outside the region bounded by the two graphs.

First, find the area under the graph of y=x^3+8 and above the x-axis. This can be calculated using the definite integral

∫ y dx from 0 to 8, which is equal to 8^4/4+8 = 288.

Next, find the area under the graph of y=x+8 and above the x-axis. This can be calculated using the definite integral

∫ y dx from 0 to 8, which is equal to 8^2/2+8 = 72.

The area of the overlap between the two graphs is the area of the region below both graphs and above the x-axis. This can be calculated using the definite integral

∫ y dx from 0 to 8, which is equal to 8^3/3+8 = 168.

Finally, subtract the area outside the region bounded by the two graphs, which is the area below the line y=x+8 and above the x-axis. This can be calculated using the definite integral

∫ y dx from 0 to 8, which is equal to 8^2/2 = 32.

Therefore, the area of the region in the first quadrant that is enclosed by the graphs of y=x^3+8 and y=x+8 is 288 - 72 - 168 + 32 = 24.

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Answer:

Step-by-step explanation:

thats it

Answer:

f(x)=4x^2

f(2)=4(2)^2

f(2)=4(4)

f(2)=16

2. g(x)=4*2^x

g(2)=4*2^2

g(2)=4*4

g(2)=16

f(2)=g(2)

Both is equal to 16

I hope this help you :)

Step-by-step explanation:

The given formulas are matched with their corresponding descriptions as follows:

a. S(I – R)-1 - H. This formula is used to find the stable matrix of an absorbing matrix.b. A Col. = Ba2 - B. This formula is used to find the equation of a line given a point and a slope or given two points.c. y = c + C2x - D. This formula is used to find a linear model when more than two data points are given.d. X=A-1.Y - G. This formula is used to find the product matrix given an input-output matrix and a consumer demand matrix.e. N.Exy-Ex-2y C2 = m = N-Ex2-(Ex)2 - F. This formula is used to find the c values for a polynomial model that has degree n and n+1 data points.f. C=(AT • A)-1.(ATY) - E. This formula is used to find the c values for an overdetermined matrix.g. y-yı = m(x – x4) - A. This formula is used to find a linear model when two data points are given.h. X = (I – A)-1.D - C. This formula is used to help find the stable matrix of an absorbing matrix.

This formula is used to project future outcomes by finding the stable matrix.

a. The formula S(I – R)-1 is used to find the stable matrix of an absorbing matrix, which represents the long-term distribution of a Markov chain.

b. The formula A Col. = Ba2 is used to find the equation of a line given a point and a slope or given two points, allowing us to model linear relationships.

c. The formula y = c + C2x is used to find a linear model when more than two data points are given, enabling us to estimate the relationship between variables.

d. The formula X = A-1.Y is used to find the product matrix given an input-output matrix and a consumer demand matrix, facilitating economic analysis.

e. The formula N.Exy-Ex-2y C2 = m = N-Ex2-(Ex)2 is used to find the c values for a polynomial model that has degree n and n+1 data points, allowing us to fit a polynomial curve to the data.

f. The formula C=(AT • A)-1.(ATY) is used to find the c values for an overdetermined matrix, helping us solve systems of equations with more equations than unknowns.

g. The formula y-yı = m(x – x4) is used to find a linear model when two data points are given, providing a simple equation for a straight line.

h. The formula X = (I – A)-1.D is used to help find the stable matrix of an absorbing matrix, which represents the long-term behavior of a Markov chain.

The statement "This formula is used to project future outcomes by finding the stable matrix" refers to the formula used to find the stable matrix of an absorbing matrix, which allows us to analyze the long-term behavior of a system.

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Opening a $500 checking account at First Bank will result in a rise in reserves and a rise in checkable deposits. This statement is true.

When a customer opens a $500 checking account at First Bank, the bank records the deposit as an increase in its liabilities and an increase in the customer's checkable deposits. At the same time, the bank sets aside a portion of the deposit as required reserves, which are assets that banks must hold in reserve against their deposits, as required by the Federal Reserve. This means that the bank's reserves will increase by the amount of the required reserve, which is determined by the reserve ratio set by the Fed.

The increase in reserves will also have an impact on the money supply. When banks hold more reserves, they have less money to lend out. This can lead to a decrease in the money supply, as fewer loans are made, and less money is created through the deposit multiplier effect. However, the impact of this on the money supply will depend on other factors, such as the demand for loans and the level of reserves already held by the bank.

In summary, opening a $500 checking account at First Bank will result in a rise in reserves and a rise in checkable deposits. This is because the bank will hold a portion of the deposit as required reserves, which will increase its reserves. The impact of this on the money supply will depend on other factors.

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The general terms of the sequence _2_4_6_8_10 are given by the formula aₙ = 2n, where n represents the position of the term.

The given sequence _2_4_6_8_10 represents a pattern where each term is obtained by adding 2 to the previous term. This indicates an arithmetic progression with a common difference of 2.

In general, an arithmetic progression can be described by the formula aₙ = a₁ + (n-1)d, where aₙ represents the nth term, a₁ is the first term, n is the position of the term, and d is the common difference.

In this case, the first term is 2 (a₁ = 2) and the common difference is also 2 (d = 2). Substituting these values into the formula, we get aₙ = 2 + (n-1)2 = 2n. Therefore, the general terms of the sequence are given by aₙ = 2n.

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The general terms of the sequence _2_4_6_8_10 are given by the formula aₙ = 2n, where n represents the position of the term.

The given sequence _2_4_6_8_10 represents a pattern where each term is obtained by adding 2 to the previous term. This indicates an arithmetic progression with a common difference of 2.

In general, an arithmetic progression can be described by the formula aₙ = a₁ + (n-1)d, where aₙ represents the nth term, a₁ is the first term, n is the position of the term, and d is the common difference.

In this case, the first term is 2 (a₁ = 2) and the common difference is also 2 (d = 2). Substituting these values into the formula, we get aₙ = 2 + (n-1)2 = 2n. Therefore, the general terms of the sequence are given by aₙ = 2n.

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If three pencils, each measuring one foot in length, are laid end to end touching, the total distance covered by the row would be 3 feet.

Since each pencil is 1 foot long, when three pencils are laid end to end, they form a row that is 3 feet long. The key information here is that the pencils are touching, which means there are no gaps between them. Therefore, the row would extend for a total distance of 3 feet.

In this scenario, the correct answer is option a, 3 ft. The row would not extend beyond 3 feet because there are only three pencils, each measuring one foot in length. If there were more pencils or if they were not touching end to end, the total distance covered by the row would be different. However, based on the given information, the row formed by the three one-foot-long pencils would have a length of 3 feet.

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Answer:

-14

Step-by-step explanation:

-5w+6

Plug in: -5(4)+6

-20+6 = -14

Since each trait is inherited independently, we can multiply the probabilities together. The probability of obtaining A/a; B/b; C/c; D/d offspring is (1/2) * (1/2) * (1/2) * (1/2) = 1/16.

The probability of obtaining A/a; B/b; C/c; D/d offspring can be calculated by multiplying the probabilities of each individual trait. Since each trait is inherited independently, we can multiply the probabilities together.

The probability of obtaining A/a offspring is 1/2 (A is dominant and a is recessive).

The probability of obtaining B/b offspring is 1/2 (B is dominant and b is recessive).

The probability of obtaining C/c offspring is 1/2 (C is dominant and c is recessive).

The probability of obtaining D/d offspring is 1/2 (D is dominant and d is recessive).

Therefore, the probability of obtaining A/a; B/b; C/c; D/d offspring is (1/2) * (1/2) * (1/2) * (1/2) = 1/16.

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Scatter plot is best for analyzing relationship between two variables.

What is scatter ?

In statistics and data visualization, a scatter plot (also called a scatter graph or scatter chart) is a type of graph used to display the relationship between two sets of data. It is a two-dimensional plot that uses Cartesian coordinates to display values for typically two variables for a set of data.

A scatter plot is a graph that uses dots to represent values for two numeric variables. The position of each dot on the horizontal and vertical axis indicates values for an individual data point. Scatter plots are a useful tool for visualizing the relationship between two variables, such as how changes in one variable may be associated with changes in another variable.

Scatter plots can show the following types of relationships:

Positive correlation: as one variable increases, the other variable increases.

Negative correlation: as one variable increases, the other variable decreases.

No correlation: there is no relationship between the two variables.

Non-linear relationship: the relationship between the two variables is not linear.

Scatter plot is best for analyzing relationship between two variables.

Complete Question: Which of the following types of graph is the best kind to use for analyzing how two variables are related?

Line Graphs, Bar Graphs, Pie Charts, Scatter Plots

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Option A is correct.The equation for the parabola is A.(x - 3)^2 = 2(y - 2.5)

The equation for a parabola with a focus (h, k) and a directrix y = a can be expressed as:

(x - h)^2 = 4a(y - k)

The focus is (3, 4) and the directrix is y = 2, we can substitute these values into the equation:

(x - 3)^2 = 4(2)(y - 4)

Simplifying:

(x - 3)^2 = 8(y - 4)

The correct equation for the parabola is:

(x - 3)^2 = 8(y - 4)

Therefore, the answer is option A. (x - 3)^2 = 2(y - 2.5)

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Answer:

x=17 degrees

Step-by-step explanation:

All 3 angles = 180 degrees

So 90 + 54 + (x+19) = 180

Combine like terms

163 + x = 180

Subtract 163 from both sides

x = 180-163

x = 17

Answer:

$3375 money would the student council have in four years if they invest $3000 at 5% interest compounded yearly.

Step-by-step explanation:

We are given:

Principal Amount = $3000

Interest Rate r = 5% or 0.05

n=1 (compounded yearly)

Years t= 4

We need to find future value (A)

The formula used is: \(A=P(1+\frac{r}{n})^{nt}\)

Putting values in formula and finding future value A

\(A=P(1+\frac{r}{n})^{nt}\\A=3000(1+\frac{0.05}{1})^{1*4}\\A=3000(1+0.05)^4\\A=3000(1.05)^4\\A=3000(1.215)\\A=3375\)

So, $3375 money would the student council have in four years if they invest $3000 at 5% interest compounded yearly.

The best option to approximate the probability that 10 or less people from the sample are unemployed is option B: P(Z < 10.5) using the normal probability distribution. This is because we can use the normal distribution to approximate the distribution of the sample proportion, and we can convert the number of unemployed individuals to a standard normal variable by calculating the z-score.

Then, we can use a z-table or calculator to find the probability associated with that z-score. In this case, we are interested in the probability of 10 or less people being unemployed, which corresponds to a z-score of -0.57. Using a z-table or calculator, we can find that the probability of getting a z-score less than -0.57 is approximately 0.2852, which we can round to 4 decimal places as 0.2852. Therefore, the probability of 10 or less people from the sample being unemployed is approximately 0.2852.

Refer to the Exhibit Unemployment. To approximate the probability that 10 or less people from this sample are unemployed using the normal distribution, you should calculate P(Z < 10.5). So, the best option is b. P(Z < 10.5).

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Answer:

E

Step-by-step explanation:

Sjsjdjddjdjdjjddjdjdjdjdjdndnsnsnsbs answer is E

Answer: C i think

Step-by-step explanation: hop this helps :)

Three of them possess pairs corresponding to a Shamir secret sharing scheme, enabling any two people to determine the secret.

In this scenario, there are four people in a room. Three of them possess pairs corresponding to a Shamir secret sharing scheme, enabling any two people to determine the secret.

The remaining person is a foreign agent who has chosen a pair randomly. Thus, if any two of the three people with the valid pairs collaborate, they can successfully uncover the secret, as per the properties of the Shamir secret sharing scheme.

The presence of the foreign agent does not affect the security of the scheme unless they collaborate with another person possessing a valid pair.

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Answer:

1/12 is the answer

Answer:

12

Step-by-step explanation:

\(\frac{5}{6} - \frac{4}{3} (\frac{3}{4})\)²

⇒ \(\frac{5}{6} - \frac{4}{3}\) × \(\frac{9}{16}\)

⇒ \(\frac{5}{6} - \frac{36}{48}\)

⇒ \(\frac{5}{6} - \frac{3}{4}\)

LCM of 4 and 6 is 24

⇒ 5 × 4/6 × 4  -  3 × 6/4 × 6

⇒ 20/24 - 18/24

⇒ 20-18 /24

⇒ 2/24

⇒12

hope this helps you^^