P= $450 r=6% t= 3 what is I ?

The probability that the entire system works is 0.336 and the probability that component C works, given that the entire system works, is 0.875.

In an electrical system consisting of three components as shown in Figure 1, the reliability of each component, which is the probability of working, is also indicated in the figure.

We must find the probability that the entire system works and that component C works, given that the entire system works.

It is assumed that the four components work independently.

The probability of the entire system working is obtained by multiplying the probability of each component working since they work independently of each other.P (all components work) = P (A and B and C) = P (A) × P (B) × P (C) = 0.8 × 0.7 × 0.6 = 0.336.

The probability of component C working, given that the entire system works, is obtained by using Bayes' theorem as follows:P (C works | all components work) = P (C and all components work) / P (all components work) = P (C) × P (A) × P (B) / (P (A) × P (B) × P (C))= 0.6 × 0.8 × 0.7 / 0.336 = 0.875.

Therefore, the probability that the entire system works is 0.336 and the probability that component C works, given that the entire system works, is 0.875.

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A

Step-by-step explanation:

(1.7×8.0)/3.4 ×10^23-14-23

=4×10^-14

Answer:

area of first

parallelogram

= 25x8

=200m^2

area of second

parallelogram

12x7

=84f^2

Step-by-step explanation:

I hope it's helpful for you

Answer:

First, we need to find the volume of the cylinder:

V = πr^2h = π(7.6 cm)^2(16.2 cm) = 2,945.27 cm^3

Next, we can find the amount of trace elements collected:

0.091 g/cm^3 x 2,945.27 cm^3 = 267.68 g

Rounded to the nearest tenth, Valeria collected approximately 267.7 grams of the trace element.

A graph of this system of equations on a coordinate plane is shown in the image attached below.

In order to to graph the solution to the given system of equations on a coordinate plane, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;

y = 2x/5 + 4     ......equation 1.

-2x + 5y = -30     ......equation 2.

Making y the subject of formula in equation 2, we have the following:

5y = 2x - 30

Dividing both sides of the equation by 5, we have:

y = 2x/5 - 30

Based on the graph (see attachment), we can logically deduce that the solution to the given system of equations is non existent because the lines are parallel.

In conclusion, the given system of equations has no solution.

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Answer:

Vol = 769.7 cubic ft

Step-by-step explanation:

"radius" is the distance from the center of a circle to the circle. So let's assume your pool is a circular pool with radius = 7ft and height = 5ft. It's a cylinder.

Volume of a cylinder:

Vol =

Base area•height

= pi•r^2 • h

= pi(7)^2•5

= pi•49•5

= pi • 245

= 245pi

Now, 245pi cubic ft is a perfectly good answer. But your teacher/text/class, may be asking for a decimal approximation.

If you use calculator pi (that's a lot of decimals) you get

Vol ~= 769.69 (to the hundredths place)

Vol ~= 769.7(to the tenths place)

If you were told to use 3.14 for pi

then you get

Vol ~= 769.3 cubic ft

But if you were told to convert units to gallons or liters there are more calculations (message, i can edit in these)

Fisher's Exact Test is used when there are two independent samples of categorical data, and it is a valuable tool for analyzing small sample sizes where other tests may not be appropriate.

Fisher's Exact Test is used when there are two independent samples of categorical data. This test is specifically designed to determine if there is a significant association between two categorical variables in a 2x2 contingency table.

It is commonly used when the sample size is small, which can cause issues with other statistical tests such as the chi-square test.

The two independent samples refer to two different groups or populations that are being compared. For example, we might be interested in comparing the success rates of a new drug treatment versus a placebo in a clinical trial, where success and failure are the two categories being considered.

Fisher's Exact Test calculates the probability of observing the data given the null hypothesis of no association between the variables. It does this by considering all possible arrangements of the data that have the same marginal totals. If the calculated probability is very small (typically less than 0.05), we reject the null hypothesis and conclude that there is a significant association between the variables.

In summary, Fisher's Exact Test is used when there are two independent samples of categorical data, and it is a valuable tool for analyzing small sample sizes where other tests may not be appropriate.

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Answer:

  g(x) = -1/4x²

Step-by-step explanation:

Given f(x) = x² and point (2, -1) on the graph of g(x), which is a scaled version of f(x), you want the equation for g(x).

The scale factor k will satisfy ...

  g(x) = k·f(x)

  g(2) = k·f(2) . . . . . . true at the given point

  -1 = k·2² = 4k . . . . use the coordinates of the given point

  k = -1/4 . . . . . . . . . divide by 4

The equation of g(x) is ...

  g(x) = -1/4x²

Answer: The answer should be 4. So it should be written as d = 4. You answer this equation by removing the parentheses, calculating, moving the terms, collect the like terms and calculate some more, then finally divide both sides. Hope this helps!

To find the values of z that make the product with the complex number 5-6i a real number, we need to consider the imaginary part of the product.

The product of z and 5-6i can be written as:

z * (5 - 6i)

Expanding this expression, we get:

5z - 6zi

For the product to be a real number, the imaginary part (-6zi) must be equal to zero. This means that the coefficient of the imaginary unit i, which is -6z, must be zero.

Setting -6z = 0, we find:

z = 0

So, one possible nonzero value of z is 0.

However, since we are looking for nonzero values of z, we need to find another value that satisfies the condition.

Let's consider the equation for the imaginary part:

-6z = 0

Dividing both sides of the equation by -6, we have:

z = 0/(-6)

z = 0

Again, we find z = 0, which is not a nonzero value.

Therefore, there are no other nonzero values of z that make the product with the complex number 5-6i a real number. The only value that satisfies the condition is z = 0.

Tracker B has a greater radius and would be able to cover more area.

An equation is an expression that is used to show the relationship between two or more numbers and variables.

Tracker A has a radius of 4.102 feet, hence:

Area covered = π * 4.102² = 52.86 ft²

Tracker B has a radius of 104 feet, hence:

Area covered = π * 104² = 33979.5 ft²

Tracker B has a greater radius and would be able to cover more area.

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Answer:

x=4, x= -1

Step-by-step explanation:

Write your problem:

\(x^{2}\) - 4 = 3x

Subtract 3x from both sides:

\(x^{2}\) - 4 - 3x = 3x - 3x

Simplify:

\(x^{2}\) - 3x - 4 = 0

Sovle with quadtric formula:

.....

Step-by-step explanation:

Area of Square=side²

Side=√(Area of the square)

Given area of the square=196cm²

Side of the square=√196=14cm

Perimeter of square=4*side=4*14=56cm

Length of the rectangle=(14+x)cm

Breadth of the rectangle=(14-y)cm

Area of rectangle=Length*Breadth=

(14+x)(14-y)=14(14)+14(-y)+x(14)+x(-y)=(196-14y+14x-xy)cm²

To solve the problem, our first instinct may to go straight into getting the amount of money you need for each cup. But if we look closer, we notice 15.40 is just 30.80 divided by two. So, the amount of cups he need to sell is just

30.80/15.40 * 7 =

2*7=

-Hunter

Answer:

Step-by-step explanation:

-2 - p = -4 -(8p+12)

-2 - p =-4 -8p-12

-2+4+12=-8p+p

14=-7p

p=-2

The quantity theory of money is an economic theory that suggests a direct relationship between the money supply (M) and the price level (P) in an economy

According to this theory, the equation MV = PY holds, where V represents the income velocity of money and Y represents real output. This equation states that the total value of money spent in an economy (MV) is equal to the total value of goods and services produced (PY).

The quantity theory of money assumes that the velocity of money (V) and real output (Y) are relatively stable over time and that changes in the money supply (M) primarily affect changes in the price level (P). It implies that an increase in the money supply will lead to inflation, as there is more money chasing the same amount of goods and services.

Therefore, the correct answer is "static quantity theory of money," which refers to the idea that the relationship between money, velocity, price level, and real output is static and can be represented by the equation MV = PY.

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The linear equation plotted in the graph is y=4x-1

The slope-intercept form of a line is represented by y=mx+c where m=slope and c is the y-intercept of the line

Given here: The graph of a line that passes through the point (0,-1)

We know the slope intercept form of a line is given by

y=mx+c

Thus if the line passes through this point then

-1=m×0+c

c=-1

Again we can clearly observe that one of the points that lie on the line is (-1,3)

3=-m-1

m=4

∴ The required equation is y=4x-1

Hence, The linear equation plotted in the graph is y=4x-1

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Answer:

(-6,0)

Step-by-step explanation:

the y-axis is any (x number, 0)

The cylindrical coordinates of the point with rectangular coordinates (x, y, z) = (-3, 5, -1) are (ρ, θ, z) ≈ (sqrt(34), -1.03, -1).

Cylindrical coordinates are a type of coordinate system used in three-dimensional space to locate a point using three coordinates: ρ, θ, and z. The cylindrical coordinate system is based on a cylindrical surface that extends infinitely in the z-direction and has a radius of ρ in the xy-plane.

To convert rectangular coordinates (x, y, z) to cylindrical coordinates (ρ, θ, z), we use the following formulas:

ρ =\(\sqrt(x^2 + y^2)\)

θ = arctan(y/x)

z = z

Substituting the given values, we get:

ρ = \(\sqrt((-3)^2 + 5^2)\)= sqrt(34)

θ = arctan(5/-3) ≈ -1.03 radians or ≈ -58.8 degrees (measured counterclockwise from the positive x-axis)

z = -1

Therefore, the cylindrical coordinates of the point with rectangular coordinates (x, y, z) = (-3, 5, -1) are (ρ, θ, z) ≈ (sqrt(34), -1.03, -1).

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The correct options are:

O T is not one-to-one since the ker(T) = {0}.

O T is not onto since the rank(T) is not equal to the dimension of the co-domain.

O T is not an isomorphism since it is not one-to-one and it is not onto.

(a) Find the dimension of the domain.

The domain is R4. Therefore, the dimension of the domain is 4.

(b) Find the dimension of the range.

The dimension of the range is the rank of the matrix. The matrix A can be transformed into its row echelon form to find its rank as shown below:

|1 -2 3 0 0 |

|0 1 -1 1 4 |

|0 0 0 -5 -12 |

The rank is 2. Therefore, the dimension of the range is 2.

(c) Find the dimension of the kernel.

The kernel is the null space of the matrix A. Therefore, to find the kernel, we need to solve Ax = 0. We get:

|1 -2 3 0 |

|0 1 -1 1 |

|0 0 0 -5 |

x3 = -x4/5x2

= x4/5 - x3x1

= 2x2 - 3x3 + x4/5x

= x4/5

[2, 1, -3/5, 1/5] and [0, 1, 1/5, -1/5] form a basis for the kernel.

Therefore, the dimension of the kernel is 2.

(d) Is T one-to-one? Explain.

T is one-to-one if and only if ker(T) = {0}. Since the dimension of the kernel is 2, T is not one-to-one.

(e) Is T onto? Explain.

T is onto if and only if the dimension of the range is equal to the dimension of the codomain. Since the dimension of the range is 2 and the codomain is R3, T is not onto.

(f) Is T an isomorphism? Explain.

T is an isomorphism if and only if it is one-to-one and onto. Since T is neither one-to-one nor onto, T is not an isomorphism. Therefore, the correct options are:

O T is not one-to-one since the ker(T) = {0}.

O T is not onto since the rank(T) is not equal to the dimension of the co-domain.

O T is not an isomorphism since it is not one-to-one and it is not onto.

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Step-by-step explanation:

Substitute t = -9:

\(g( - 9) = 3( - 9) - 5\)

Solve:

\(g( - 9) = - 27 - 5\)

\(g( - 9) = - 32\)

The problem involves a line segment divided into two parts in a specific ratio. The ratio of the length of the lesser part to the length of the greater part is found to be (√2 - 1).

Let the length of the whole line segment be x, and let y be the length of the greater part. Then the length of the lesser part is (x - y).

According to the problem statement, the ratio of the lesser part to the greater part is the same as the ratio of the greater part to the whole. Mathematically, we can write this as:

(x - y)/y = y/x

Simplifying this equation, we get:

x^2 - y^2 = y^2

x^2 = 2y^2

Taking the square root of both sides, we get:

x = y√2

Therefore, the value of the ratio of the lesser part to the greater part is:

(x - y)/y = (√2 - 1)

So, the answer will be (√2 - 1).

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A differential equation with some initial conditions is used to solve an initial value problem.

The required particular solution is given by the relation:

\($4y^{(3/2)} = 9e^{(-2x/3)} + 23\)

An initial value problem in multivariable calculus is an ordinary differential equation with an initial condition that specifies the value of the unknown function at a given point in the domain. In physics or other sciences, modeling a system frequently entails solving an initial value problem.

Let the given equation be \($y^{1/2} dy\ dx y^{3/2} = 1\), y(0) = 9

\($(\sqrt{y } ) y^{\prime}+\sqrt{(y^3\right\left) }=1\) …..(1)

Divide the given equation (1)  by \($\sqrt{ y} $\)  giving

\($y^{\prime}+y=y^{(-1 / 2)} \ldots(2)$\), which is in Bernoulli's form.

Put \($u=y^{(1+1 / 2)}=y^{(3 / 2)}$\)

Then \($(3 / 2) y^{(1 / 2)} \cdot y^{\prime}=u^{\prime}$\).

Multiply (2) by \($\sqrt{ } y$\) and we get

\(y^{(1 / 2)} y^{\prime}+y^{(3 / 2)}=1\)

(2/3) \(u^{\prime}+u=1$\) or \($u^{\prime}+(3 / 2) y=3 / 2$\),

which is a first order linear equation with an integrating factor

exp[Int{(2/3)dx}] = exp(2x/3) and a general solution is

\(u. $e^{(2 x / 3)}=(3 / 2) \ln \[\left[e^{(2 x / 3)} d x\right]+c\right.$\)  or

\(\mathrm{y}^{(3 / 2)} \cdot \mathrm{e}^{(2x / 3)}=(9 / 4) \mathrm{e}^{(2x / 3)}+{c}\)

To obtain the particular solution satisfying y(0) = 4,

put x = 0, y = 4, then

8 = (9/4) + c

c = (23/4)

Hence, the required particular solution is given by the relation:

\($4y^{(3/2)} = 9e^{(-2x/3)} + 23\)

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To find the number of people who like all three fruits, we can use the principle of inclusion-exclusion.In a group of 6 people, 45 like apples, 30 like bananas, and 15 like oranges.

The total number of people who like only two fruits is 22, and they like at least one of the fruits.

Let's break it down:
- The number of people who like apples only is 45 - 22 = 23.
- The number of people who like bananas only is 30 - 22 = 8.
- The number of people who like oranges only is 15 - 22 = 0 (since there are no people who like only oranges).
To find the number of people who like all three fruits, we need to subtract the number of people who like only one fruit from the total number of people in the group:

6 - (23 + 8 + 0)

= 6 - 31

= -25.
Since we can't have a negative number of people, there must be an error in the given information or the calculations. Please check the data provided and try again.

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There are no people in the group who like all three fruits. In a group of 6 people, 45 like apples, 30 like bananas, and 15 like oranges. We need to find the number of people who like all three fruits. To solve this, we can use a formula called the inclusion-exclusion principle.

This principle helps us calculate the number of elements that belong to at least one of the given sets.

Let's break it down:

1. Start by adding the number of people who like each individual fruit:
  - 45 people like apples
  - 30 people like bananas
  - 15 people like oranges

2. Next, subtract the number of people who like exactly two fruits. We know that there are 22 people who fall into this category, and they also like at least one of the fruits.

3. Finally, add the number of people who like all three fruits. Let's denote this number as "x".

Using the inclusion-exclusion principle, we can set up the following equation:

    45 + 30 + 15 - 22 + x = 6

Simplifying the equation, we get:

    68 + x = 6

Subtracting 68 from both sides, we find that:

    x = -62

Since the number of people cannot be negative, we can conclude that there are no people who like all three fruits.

In conclusion, there are no people in the group who like all three fruits.

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Answer:

9/10

Step-by-step explanation:

answer is 9/10 i think

Answer:

.90 as a repeating fraction is .90909090

Step-by-step explanation:

hope this helps

The corresponding angles and sides of the two triangles need to be given in order to prove congruence by side-angle-side.

In order to prove congruence by side-angle-side, the corresponding angles and sides of the two triangles must be given. The sides must be proportional, which means that two sides of one triangle must be equal to two sides of the other triangle, and the angles between these two sides must also be equal. In other words, if two sides of one triangle are equal to two sides of the other triangle, and the angle between those two sides is also equal, then the two triangles are congruent. This can be expressed as “If two sides and the included angle of one triangle are equal to the corresponding sides and angle of a second triangle, then the two triangles are congruent.” In order to prove congruence by side-angle-side, all of the corresponding sides and angles must be given in order to show that they are equal.

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The additional information that is needed to prove the triangles are congruent by Side-Angle -Side us that the corresponding angles and sides of the two triangles need to be given .

What is Side-Angle-Side Congruence ?

The Two Triangles can be called as  Congruent by Side-Angle-Side rule  if any 2 sides and angle included between sides of one triangle is equivalent to corresponding 2 sides and angle between sides of second triangle .

In order to prove the Congruence by Side-Angle-Side, the corresponding angles and the sides of the 2 triangles must be given.

The sides must also be in proportional, that means that the two sides of one triangle must be equal to two sides of other triangle, and

the angles between these two sides of the triangle must  be equal.

So , In order to prove a triangle congruent by Side-Angle-Side, all of the corresponding sides and angles must be given in order to prove  that they are equal.

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The statement that the integral of entire functions is always zero is false.

An entire function is a complex function that is defined on the whole complex plane and is complex differentiable everywhere. Entire functions can have non-zero integrals over certain regions in the complex plane.

For example, the integral of the entire function f(z) = e^z over a square contour of side length 1 centered at the origin is non-zero. In fact, using Cauchy's integral theorem, we can evaluate this integral as follows:

∫(C) e^z dz = 0

where C is the square contour of side length 1 centered at the origin. However, if we consider the square contour of side length 2 centered at the origin, then the integral of f(z) = e^z over this contour is non-zero.

Therefore, the statement that the integral of entire functions is always zero is false.

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Answer:

where is the graph?

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

1/(12*5)=1/(3*x)

12*5=3x

x=20

Answer:

$4

Step-by-step explanation:

12÷4=3

20÷4=5

56÷4=14