Pleaseee help meeeee

The solution to the given system of simultaneous equations is x = 1, y = 2, and z = -3. The value of 3 - 2 is 1.

To solve the system of simultaneous equations, we can use the matrix method or any other appropriate method. Here, we'll use the matrix method.

   Representing the system of equations as a matrix equation AX = B, we have:

   A =

   [1 2 -1]

   [3 5 -1]

   [-2 -1 -2]

X =

[x]

[y]

[z]

B =

[6]

[2]

[4]

   To find X, we multiply both sides of the equation by the inverse of matrix A:

   X = \(A^(-1) * B\)

   Calculating the inverse of matrix A, we have:

 \(A^(-1) =\)

   [3/5 -1/5 1/5]

   [-1/5 2/5 -1/5]

   [1/5 1/5 -3/5]

   Multiplying \(A^(-1)\)by B, we obtain:

   X =

   [1]

   [2]

   [-3]

Therefore, the solution to the given system of simultaneous equations is x = 1, y = 2, and z = -3.

Now, let's find the value of 3 - 2:

3 - 2 = 1

Therefore, the value of 3 - 2 is 1.

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Answer: Unable to answer

Step-by-step explanation: If you do not show what the constant rate is, I am unable to solve it for you.

In a random sample of 20 single servings of Alpha-bits, the average sugar content was found to be 11.3 grams, with a standard deviation of 2.45 grams. Assuming that the sugar contents are normally distributed, a 95% confidence interval for the mean sugar content for single servings of Alpha-bits can be constructed. The interval would be 10.00 to 12.60 grams.

To construct a 95% confidence interval for the mean sugar content of single servings of Alpha-Bits, we will use the sample average, standard deviation, and sample size given in the problem.

1. Identify the given values:
- Sample average (mean) = 11.3 grams
- Standard deviation = 2.45 grams
- Sample size (n) = 20

2. Determine the standard error:
Standard error (SE) = standard deviation / √n
SE = 2.45 / √20 ≈ 0.547

3. Find the critical value (z-score) for a 95% confidence interval:
For a 95% confidence interval, the z-score is approximately 1.96.

4. Calculate the margin of error:
The margin of error = z-score * standard error
Margin of error = 1.96 * 0.547 ≈ 1.072

5. Construct the confidence interval:
Lower limit = sample average - margin of error
Lower limit = 11.3 - 1.072 ≈ 10.228

Upper limit = sample average + margin of error
Upper limit = 11.3 + 1.072 ≈ 12.372

Therefore, the 95% confidence interval for the mean sugar content of single servings of Alpha-Bits is approximately (10.228 grams, 12.372 grams). This means that we can be 95% confident that the true average sugar content for single servings of Alpha-Bits lies within this range.

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The probability that the total travel time for the three deliveries will be at most 4 hours is approximately 0.9914, rounded to four decimal places.

Assuming that travel time follows an exponential distribution with mean 0.5 hours, the probability of travel time being less than or equal to a certain value t (in hours) is given by the cumulative distribution function (CDF):

F(t) = 1 - e^(-t/0.5)

We want to get the probability that the travel time for three deliveries, each involving a distance of 40 miles, will be at most 4 hours. Let X be the travel time for one delivery. Since the three deliveries are independent, the total travel time Y for the three deliveries is the sum of three independent and identically distributed exponential random variables, each with mean 0.5 hours. That is,

Y = X1 + X2 + X3

where Xi ~ Exp(0.5) for i = 1, 2, 3.

The distribution of Y is a gamma distribution with shape parameter k = 3 and scale parameter θ = 0.5, that is,

Y ~ Gamma(3, 0.5)

The CDF of Y is:

F(y) = P(Y ≤ y) = ∫₀ʸ f(t) dt

where f(t) is the probability density function (PDF) of Y, which is:

f(t) = (1/0.5)^3 * t^2 * e^(-t/0.5) / 2!

The integral can be computed numerically or using software such as Excel, and the result is:

F(4) = P(Y ≤ 4) ≈ 0.9914

Therefore, the probability that the total travel time for the three deliveries will be at most 4 hours is approximately 0.9914, rounded to four decimal places.

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Answer:

\(A = 43.0^o\)

\(B = 55.0^o\)

\(BC = 20.0\)

Step-by-step explanation:

I will solve this question with the attached triangle

From the attachment, we have:

\(\angle C =82^o\)

\(AB = 29\)

\(AC = 24\)

Required

Solve the triangle

First, we calculate \(\angle B\) using sine law:

\(\frac{AC}{\sin(B)} = \frac{AB}{\sin(C)}\)

This gives:

\(\frac{24}{\sin(B)} = \frac{29}{\sin(82^o)}\)

\(\frac{24}{\sin(B)} = \frac{29}{0.9903}\)

Cross multiply

\(\sin(B) * 29 = 24 * 0.9903\)

\(\sin(B) * 29 = 23.7672\)

Divide both sides by 29

\(\sin(B) = 0.8196\)

Take arcsin of both sides

\(B = \sin^{-1}(0.8196)\)

\(B = 55.0^o\)

Next, calculate \(\angle A\) using:

\(A + B + C = 180^o\) --- angles in a triangle

\(A + 55^o + 82^o = 180^o\)

Collect like terms

\(A = 180^o-55.0^o - 82^o\)

\(A = 43.0^o\)

Next, calculate BC using sine laws

\(\frac{BC}{\sin(A)} = \frac{AB}{\sin(C)}\)

This gives:

\(\frac{BC}{\sin(43.0)} = \frac{29}{\sin(82)}\)

\(\frac{BC}{0.6820} = \frac{29}{0.9903}\)

Make BC the subject

\(BC = \frac{29*0.6820}{0.9903}\)

\(BC = 20.0\)

Answer: -5?5

Step-by-step explanation:

Answer:

7.26

Step-by-step explanation:

So, the product of something is multiplication.

so,

- 3.3 x -2.2 = 7.26

so, your answer is 7.26

The complete question is

"Find the general solution of the given differential equation

y''-y=0, y1(t)=e^t , y2(t)=cosht

The function \(y(t)=e^t\)  is the solution of the given differential equation.

The function y(t)=cosht is the solution of given differential equation.

The function is a type of relation, or rule, that maps one input to specific single output.

Given;

\(y_1(t) = e^t\)

Given differential equations are,

y''-y = 0

 So that,  

\(y' (t) = e^t, y'' (t) = e^t\)

Substitute values in the given differential equation.

\(e^t -e^t=0\)

Therefore, the function \(y(t)=e^t\)  is the solution of the given differential equation.

Another function;

\(y(t)=cosht\)  

So that,  

\(y"(t)=sinht\\\\y"(t)=cosht\)

Hence, function y(t)=cosht is solution of given differential equation.

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1st answer is n and 2nd is 3n.

Step-by-step explanation:

1st one....

first term (a) = 1

common difference (d) = 2-1 =1

no. of term (n) = n

Now,

nth term = a + ( n-1 ) d

= 1 + ( n-1 ) 1

= 1 + n - 1

= n

2nd one...

first term (a) = 3

common difference (d) = 6-3 =3

no. of term (n) = n

Now,

nth term = a + ( n-1 ) d

= 3 + ( n-1 ) 3

= 3 + 3n - 3

= 3n

a=3

d =u2 -u1=6-3=3

un=n/2(2a+(n-1)d)

=n/2 (6+3n+3)

=n/2 (3n+9)

ihope i was help ful

As a result, the transformation sequence from triangle ABC to triangle A'B'C' is: Translation by vector AA' Counterclockwise rotation around A" by the same angle as A'C'A"B"

A triangle is a closed, the double symmetrical object made up of three line segments called sides that intersect at three points called vertices. Triangles can be identified by about there sides and angles. Based on their sides, triangles could be equilateral (all factions equal), isosceles, or scalene.

Using a vector that connects A and A', we can translate triangle ABC to the left until vertex A coincides with point A'. This repositions all three vertices of triangle ABC, resulting in a congruent triangle A "B"C".

Triangle A"B"C" can be rotated anticlockwise around vertex A" until side A"B" coincides with A'C'. This rotation also relocates vertices B" and C", resulting in a congruent triangle A'"B'"C "'.

Reflection: Triangle A' can be reflected "B'"C"' across the line containing side B'C', which is the perpendicular bisector of A"C", to form triangle A'B'C'. Each point of A'"B'"C is represented by this reflection "'to an equidistant point on A'B'C' from B'C'.

As a result, the transformation sequence from triangle ABC to triangle A'B'C' is:

Translation by vector AA' Counterclockwise rotation around A" by the same angle as A'C'A"B"

A"C" reflection across the perpendicular bisector

To avoid copyright infringement, the images of the triangles in the steps are not included, but the reader can easily visualise them.

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Answer:

0, 6 * 0,6 = 0.36

Step-by-step explanation:

Keyword is AND.First AND second matches both. It means you need to use *.

The probability of winning both matches is 0.36 or 36%.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

Since the outcome of each match is independent, we can use the multiplication rule of probability to find the probability of winning the next two matches:

P(win both matches) = P(win first match) x P(win second match)

The probability of winning a single match is given as 0.6.

Therefore, the probability of winning the first match is 0.6.

Now, assuming you won the first match, you still have a probability of 0.6 of winning the second match.

Therefore, the probability of winning both matches is:

P(win both matches) = P(win first match) * P(win second match)

= 0.6 x 0.6

= 0.36

Therefore,

The probability of winning both matches is 0.36 or 36%.

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Answer:

6435 ways

Step-by-step explanation:

Since the order does not matter, it is a combination, also because they do not indicate how many men and how many women should be in the group of 8, which means that it would be the ways of putting together a group of 8 with 15 people (10 men + 5 women)

That is to say:

nCr = n! / (r! * (n-r)!)

n = 15, r = 8, replacing:

15C8 = 15! / (8! * (15-8)!)

15C8 = 6435

which means that there are 6435 ways to arm the group

Answer:

C. 56

Step-by-step explanation:

252/4.5=56

Using the formula you can get this answer

Answer:

A. rent a computer for three weeks

Step-by-step explanation:

hope it helps

Answer:

rent a computer for three weeks

Step-by-step explanation:

yes

Answer:

\(x^{2}\)+3x-18=0

Step-by-step explanation:

3x-18= -\(x^{2}\)

+\(x^{2}\)       +\(x^{2}\)

----------------------

\(x^{2}\)+3x-18=0

Answer:

3

Step-by-step explanation:

slope = (y_2 - y_1)/(x_2 - x_1)

slope = (1 - 7)/(3 - 5)

slope = -6/(-2)

slope = 3

Parallel lines have equal slopes.

Answer: 3

The length and the width of the original cloth is 16 \(feet^{2}\) and 9 \(feet^{2}\).

What is rectangle ?

A rectangle can also be known as an equiangular quadrilateral. This is because a rectangle is a quadrilateral shape (4-sided shape) that has parallel sides, equal to one another.

Let x and y is length and width of rectangle and a is side of square ,

Have given,

Area of rectangle = Area of square

x * y = \(a^{2}\) ...........(i)

The cloth can be turned into a square by increasing the width by 3 feet and reducing the length by 4 feet,

x - 4 = a ..............(ii)

y + 3 = a ...............(iii)

From (ii) and (iii),

x - y = 7

y = x - 7 ................(iv)

Put the value of (ii) and (iv) in (i)

x * (x - 7) = \((x - 4)^{2}\)

\(x^{2} - 7x = x^{2} - 8x + 16\)

x =  16 \(feet^{2}\) ,so y = 9 \(feet^{2}\)

The length and the width of the original cloth is 16 \(feet^{2}\) and 9 \(feet^{2}\).

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29$ 16% of 25 is 4, so add it, and theres the answer

Step-by-step explanation:

If you are reflecting a coordinate across the x-axis, the y coordinate will flip. For example, if you reflect 4,9 across the x-axis you will get 4,-9, and if you reflect 2,-7 across the x-axis you will get 2,7. So whatever your answer is, you basically just have to add or remove the negative symbol on the y coordinate.

Thus, the equation of the line is: \(y - A = B(x - C)\)

where A = 0, C = 5 - 10/a, and B = -5/a. Substituting \(a^2 = 10\), we get:

\(A = 0\)

\(B = -5/a = -5/\sqrt(a^2) = -5/\sqrt(10)\\)

\(c = 5-10/a= 5-\sqrt{(100/a^{2} )} = 5-\sqrt{10}\)

An equation is a mathematical statement that uses symbols, numbers, and operations to show that two expressions are equal. It usually contains one or more variables, which represent unknown values that need to be solved for. Equations are used in a wide range of mathematical fields, such as algebra, geometry, calculus, and physics, to model real-world situations and solve problems. Some common examples of equations include:

Linear equation: y = mx + b.

by the question.

Let A = (a, 0) and C = (0, c) be the points of intersection with the x and y axes, respectively. Then the equation of the line passing through (2,5) and (a,0) is given by:

\((y - 5)/(0 - 5) = (x - 2)/(a - 2)\)

Simplifying, we get:

\(y = (-5/a)x + (5a/a - 10)\)

\(y = (-5/a)x + (5 - 10/a)\)

Now, we can find the coordinates of A and C by setting y = 0 and x = 0, respectively:

\(A = (a, 0) \geq 0 = (-5/a)a + (5 - 10/a) \geq a^2 = 10\)

\(C = (0, c) \geq c = (-5/2)(0) + (5 - 10/a) \geq c = 5 - 10/a\)

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Answer:

y = -3/5x + c

Step-by-step explanation:

Re-arrange the initial equation so that the it becomes y =

To do this, you +3y on both sides to get 5x = 3y + 12

And then -12 on both sides to get 5x - 12 = 3y

Divide everything by 3 so you get 5/3x - 4 = y OR y = 5/3x - 4

The gradient of the initial equation is 5/3, to find the perpendicular line, you need the negative reciprocal of it, which is -3/5

Therefore your perpendicular line should be y = -3/5x + c

Because you didn't specify on what point they intersect, i can't find c for you.

Straight-line graphs are commonly referred to as "linear graphs" or "linear equations."

We have,

A straight line graph, often referred to as a linear graph or linear equation, represents a relationship between two variables that can be expressed by a linear equation in the form y = mx + b.

In this equation, 'x' and 'y' are the variables, 'm' is the slope of the line, and 'b' is the y-intercept (the point where the line crosses the y-axis).

The slope 'm' determines the steepness or incline of the line.

A positive slope indicates the line rises as 'x' increases, while a negative slope indicates the line descends as 'x' increases.

The y-intercept 'b' represents the value of 'y' when 'x' is zero, determining where the line crosses the y-axis.

Thus,

Straight line graphs are commonly referred to as "linear graphs" or "linear equations.

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Answer:

2 hours and 24 minutes

Step-by-step explanation:

cynthia can wallpaper a room 4 hours with means in 1 hour she can wallpaper 1/4th of the room, her brother can wallpaper the same room in 6 hours so I'm 1 hour he can wallpaper 1/6 of the room.

Therefore , it means if an equation have 2 roots , it means it is a quadratic function .

A number's  root is that factor of the number that, when multiplied by itself, yields the original number. Specifically, squares and square roots are exponents. Think of the number nine. This can be expressed as  or as 3 x 3.

Here,

If an equation have 2 roots , it means it is a quadratic function

If D=0, a quadratic function has two roots that are equal.

D (discriminant) = 0

=>b24ac=0 is required for a polynomial function to have equal roots.

Therefore , it means if an equation have 2 roots , it means it is a quadratic function .

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there are 10 clubs on campus. how many ways are there if you want to choose 3 student clubs out of 10 to join is 120

A fractional factorial experiment utilizes subset of combinations that are gotten from the full factorial experiment. They are applicable when there are too many inputs to screen practically or cost or time would be excessive.

Also, using the fractional factorial experiment makes running the experiments faster and cheaper.

10C3 = 10! / (7!*3!)

        = 10*9*8/6

        = 120

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It should be noted that 0.5495 MADs separate the mean reading comprehension scores for the standard program and the activity-based program.

For the standard program:

Mean = 67.8

MAD = 4.6

n = 24

For the activity-based program:

Mean = 70.3

MAD = 4.5

n = 27

Difference in means = Activity-based program mean - Standard program mean

= 70.3 - 67.8

= 2.5

Average MAD = (Standard program MAD + Activity-based program MAD) / 2

= (4.6 + 4.5) / 2

= 4.55

Number of MADs = Difference in means / Average MAD

= 2.5 / 4.55

≈ 0.5495

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The Median Absolute Deviations (MADs) that separate the mean reading comprehension score for a standard program and an activity-based program is 0.55 MADs.

We first calculate the difference in means between the two programs.

The difference is 70.3 (mean of the activity-based program) - 67.8 (mean of the standard program) = 2.5.

Then, we calculate the average MAD by summing the MADs of the two programs and dividing by 2.

This gives us (4.6 + 4.5) / 2 = 4.55.

Finally, we divide the difference in means by the average MAD to get the number of MADs that separate the two programs.

This gives us 2.5 / 4.55 = 0.55 MADs.

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How many MADs separate the mean reading comprehension score for a standard program (mean = 67.8,

MAD = 4.6, n = 24) and an activity-based program (mean = 70.3, MAD= 4.5, n = 27)?

How many Median Absolute Deviations (MADs) separate the mean reading comprehension score for a standard program and an activity-based program?

Answer:

A. vertex B

B. Side BC and BD

C. Angle EBD

Step-by-step explanation:

An angle is an undefined term in plane geometry.

Vertex of \(\angle 4\)

The vertex of an angle is the point where the rays that form the angle meet.

From the diagram, rays BE and BA meet at point B to form \(\angle 4\).

Hence, the name of the vertex is B

Sides of \(\angle 1\)

The sides of an angle are the rays or sides that form the angle

\(\angle 1\) is formed by rays BC and BD

Hence, the sides are BC and BD

Another name for \(\angle 5\)

An angle can be named by combining the sides and the vertex.

The sides of \(\angle 5\) are DB and BE, while the vertex is B

This means that rays DB and BE meet at point B

Hence, another name is \(\angle DBE\)

Classify the angles

Angles are classified based on the measure

\(\angle FBC\) is a right angle, because \(\angle FBC = 90^o\)

\(\angle EBF\) is an obtuse angle because \(\angle EBF\) is greater than \(90^o\) but less than \(180^o\)

\(\angle ABC\) is a straight angle, because \(\angle ABC= 180^o\)

Angle bisector

The line or ray that divides an angle into equal halves is an angle bisector.

Ray BE is an angle bisector, because it divides \(\angle DBA\) into two equal halves.

Find \(\angle EBC\)

We have:

\(\angle EBD = 36\)

\(\angle DBC = 108\)

\(\angle EBC\) is calculated using:

\(\angle EBC = \angle EBD +\angle DBC\)

\(\angle EBC = 108+36\)

\(\angle EBC = 144\)

Find \(\angle ABE\)

We have:

\(\angle EBF = 117\)

\(\angle DBC = 108\)

\(\angle ABE\) is calculated using:

\(\angle EBF = \angle ABE +\angle EBD + \angle ABF\)

Where

\(\angle ABF = 90\)

\(\angle ABE = \angle EBD\)

So, we have:

\(117 = \angle ABE +\angle ABE + \angle 90\)

\(117 = 2\angle ABE + 90\)

Collect like terms

\(2\angle ABE =117 - 90\)

\(2\angle ABE =27\)

Divide both sides by 2

\(\angle ABE =13.5\)

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Answer:

$37.50

Step-by-step explanation:

She earns 2.50 an hour, so on the 15th hour (2.50*15) she would earn $37.50

A uniform distribution is where the different possible values occur with approximately the same frequency.

In a uniform distribution, each possible value within a given range has an equal probability of occurring. This means that the frequencies of different values are approximately the same. The uniform distribution is characterized by a constant probability density function (PDF) over the range of possible values.

For example, if we consider a fair six-sided die, each face has an equal chance of being rolled, and therefore, the distribution of outcomes is uniform. The probability of rolling any specific number from 1 to 6 is 1/6, and all these probabilities are the same.

In a uniform distribution, there are no peaks or troughs, and the distribution is characterized by a flat and constant shape. This is in contrast to other distributions such as the normal distribution or the exponential distribution, where the probabilities are not evenly distributed and certain values are more likely to occur than others.

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