Please answer and show work:)

The numbers that cannot be probabilities are: square root of 2, -53, 5/3, and 1.31.

Probability is a measure of the likelihood of a particular event occurring in a random experiment. It is a value between 0 and 1, with 0 indicating that an event is impossible, and 1 indicating that an event is certain to occur.

In statistics, probability is used to make predictions or draw inferences about a population based on a sample of data. For example, if we were to flip a coin, the probability of getting heads is 0.5, or 50%. In general probability can be defined as the ratio of the number of favorable outcomes to the total number of possible outcomes, which is the mathematical framework behind the random experiments.

From the set of numbers, 0, 0.08, and 3/5 are all possible values of probability.

Therefore, square root of 2, -53, 5/3, and 1.31 cannot be probabilities.

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Answer:

74,650

Step-by-step explanation:

270 times 400 and 125 times 400 - 83,350 = 74,650

The statement that best analyzes the role this event plays in The Necklace plot is A. It leads to the resolution where Mathilde learns (a little too late) a lesson about the downfall that can come from vanity and greed.

There are both planned and unplanned events, and the start and end times may be noted. Event types include accidents, celebrations, natural disasters, and rallies. The event is the occurrence of the event.

Loisel is well-liked and adored by all. As she walks away, she searches for the pendant and discovers it has gone missing. After days of searching, she and her husband decide to replace it with something similar. It takes her ten decades to pay for the successor, which costs the same as your salary.

In this case, it best analyzes the role this event plays in leading to the resolution where Mathilde learns a lesson about the downfall that can come from vanity and greed The plot of The Necklace.

Therefore, the correct option is A.

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Complete question

Which statement best analyzes the role this event plays in The Necklace plot?

“Oh, my poor Mathilde! Why, my necklace was paste! It was worth at most only five hundred francs!”

It leads to the resolution where Mathilde learns (a little too late) a lesson about the downfall that can come from vanity and greed.

It is the climax of the story since the reader is most excited at this point.

It serves as a complicating incident because Mathilde will have to suffer the consequences of her actions.

It serves as the falling action because it shows that Mathilde will have to get used to her place in life.

Step-by-step explanation:

Use z-score table to find the z-score that corresponds to .7000   ( 70%)

approx   .525   s.d.  above the mean

  .525  * 10 =  5.25  points above 100   = 105.25

Answer:

40

Step-by-step explanation:

because to find surface area, you need to know this formula: length * width * height.

so, 5 * 1 * 8 is 40

Answer:

You can tell that the maximum value that attains is rough.

Rewriting in vertex form. This tells us that the maximum of is.

So has the greater maximum.

Step-by-step explanation:

The solution to the integral is ∫ (16x-130) / (x²-16x+63) dx = -ln|x-9| + 41ln|x-7| + C

Now, let's get into the details of the problem. We are given the integral:

∫ (16x-130) / (x²-16x+63) dx

To solve this integral, we first need to factor the denominator. We can factor it using the quadratic formula, which gives us:

x²-16x+63 = (x-9)(x-7)

Therefore, we can rewrite the integral as:

∫ (16x-130) / [(x-9)(x-7)] dx

To apply this technique, we need to first write the fraction as:

(16x-130) / [(x-9)(x-7)] = A/(x-9) + B/(x-7)

where A and B are constants that we need to find. We can find A and B by multiplying both sides by the common denominator and then equating the numerators. This gives us:

16x - 130 = A(x-7) + B(x-9)

Now, we can solve for A and B by substituting values of x that make one of the terms zero. For example, if we substitute x=9, we get:

16(9) - 130 = A(9-7) + B(9-9)

Simplifying this expression gives us:

2A = -2

Therefore, A = -1.

Similarly, if we substitute x=7, we get:

16(7) - 130 = A(7-7) + B(7-9)

Simplifying this expression gives us:

-2B = -82

Therefore, B = 41.

Now that we have found A and B, we can rewrite the original fraction as:

(16x-130) / [(x-9)(x-7)] = -1/(x-9) + 41/(x-7)

Using this decomposition, we can integrate the original function by integrating each term separately. This gives us:

∫ (16x-130) / [(x-9)(x-7)] dx = ∫ [-1/(x-9) + 41/(x-7)] dx

= -ln|x-9| + 41ln|x-7| + C

where C is the constant of integration.

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Answer:

9. 254.83

10. 1/12

Step-by-step explanation:

9. You can add all three values together to get how much he started with:

14.35 + 148.43 + 92.05 = 254.83

10. You can make this easier by making sure these fractions have the same denominator (bottom number):

7/12 - (2/4 (x3))

7/12 - 6/12 = 1/12

These are your answers

Hope this helps!

Answer:

a = -4

a = 3

Step-by-step explanation:

Hope that helps

Answer:

Your answer should be .0101461039

Step-by-step explanation:

PEMDAS is all you need to figure this one out. The rule is if you have the same thing needed to be done to the numbers such as: 3+3+3 or 3-3-3 or 3*3*3 you just do them from left to right. The same goes here.

25/56/44

first we do 25/56 = .4464285714

.4464285714/44 = .0101461039

then you just divide by 44

Explanation:

The first inequality has its shaded region below the solid boundary line. The second inequality has its shaded region above the dashed boundary line. Overlapping the two regions leads to the left-most shaded area. This shaded area is darkest of all the shaded areas, due to the overlapping colors. All points in this area make both inequalities true.

Only point B  (-2, 2) is in this region. The other points are either in one shaded region only.

The inequality:

Basically tells us that the solutions will be the numbers strictly greater than 5, so:

Therefore, the solutions are:

8, 10, 6

Answer:

H

Step-by-step explanation:

I don't know if I did it wrong because I got 4,206.27 but I probably did

Let the price at which she sells the hi-fi set be x ~

\(\huge \bf༆ Answer ༄\)

The Money that she lose at the end of 2 years :

Loss percentage is equal to :

So, the money she end up getting after selling that hi-fi set is 2500, that is also the money She have at the end of the two years ~

\(꧁  \:\large \rm{kaul} \: ꧂\)

Given:

∆y and dy.

∆x and dx.

Required:

To explain the difference between ∆y and dy, is there difference between ∆x and dx.

Explanation:

∆y and dy are same, dy/dx is the differentiation of y with respect to x or dx/dy is the differentiation of x with respect to y.

Whereas del y is the partial differential of x where we differentiate only one at a time keeping the other variables constant and we partially differentiate all to find who differential.

In the same way ∆x and dx are same, dx/dy is the differentiation of x with respect to y or dy/dx is the differentiation of y with respect to x.

Whereas del x is the partial differential of y where we differentiate only one at a time keeping the other variables constant and we partially differentiate all to find who differential.

Final Answer:

∆y and dy are same, dy/dx is the differentiation of y with respect to x or dx/dy is the differentiation of x with respect to y.

Whereas del y is the partial differential of x where we differentiate only one at a time keeping the other variables constant and we partially differentiate all to find who differential.

In the same way ∆x and dx are same, dx/dy is the differentiation of x with respect to y or dy/dx is the differentiation of y with respect to x.

Whereas del x is the partial differential of y where we differentiate only one at a time keeping the other variables constant and we partially differentiate all to find who differential.

The orthogonal projection of [1, -1] onto the line through [-1, 3] and the origin is [0.4, -1.2].

To compute the orthogonal projection of a vector onto a line, we need to find the projection vector that lies on the line and is perpendicular to the vector we want to project.

Let's start by finding a vector that lies on the line through [-1, 3] and the origin. We can obtain this vector by subtracting the origin from any point on the line. Let's choose the point [-1, 3] as our reference point.

The direction vector of the line is the difference between any two points on the line. Since we already have the reference point [-1, 3], we can take the negative of this point to get the direction vector. So, the direction vector is [1, -3].

Next, we need to find the projection vector that lies on the line and is perpendicular to the vector [1, -1] that we want to project.

To find this projection vector, we can use the formula: proj_v(u) = ((u · v) / (v · v)) * v, where u is the vector we want to project and v is the direction vector of the line.

Let's calculate the projection vector:

u = [1, -1]

v = [1, -3]

Dot product of u and v: (1 * 1) + (-1 * -3) = 1 + 3 = 4

Dot product of v and v: (1 * 1) + (-3 * -3) = 1 + 9 = 10

proj_v(u) = ((4) / (10)) * [1, -3] = [0.4, -1.2]

Therefore, the orthogonal projection of [1, -1] onto the line through [-1, 3] and the origin is [0.4, -1.2].

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(b)To solve the differential equation, we have to find the roots of the characteristic equation. So, the characteristic equation of the given differential equation is: r² + r = 0. Therefore, we have the roots r1 = 0 and r2 = -1. Now, we can write the general solution of the differential equation using these roots as: y(t) = c₁ + c₂e⁻ᵗ, where c₁ and c₂ are constants. To find these constants, we need to use the initial conditions given in the question. y(0) = 1, so we have: y(0) = c₁ + c₂e⁰ = c₁ + c₂ = 1. This is the first equation we have. Similarly, y'(t) = -c₂e⁻ᵗ, so y'(0) = -c₂ = 0, as given in the question. This is the second equation we have.

Solving these two equations, we get: c₁ = 1 and c₂ = 0. Hence, the general solution of the differential equation is: y(t) = 1. (c)Now, we can use the result obtained in part (b) to solve the initial value problem y" + y' = 2t with y(0) = 1 and y'(0) = 0. We can rewrite the given differential equation as: y" = 2t - y'. Substituting the general solution of y(t) in this equation, we get: y"(t) = -e⁻ᵗ, y'(t) = -e⁻ᵗ, and y(t) = 1. Therefore, we have: -e⁻ᵗ = 2t - (-e⁻ᵗ), or 2e⁻ᵗ = 2t, or e⁻ᵗ = t. Hence, y(t) = 1 + c³, where c³ = -e⁰ = -1. Therefore, the solution of the initial value problem is: y(t) = 1 - t.

Part (b) of the given question has been solved in the first paragraph. We have found the roots of the characteristic equation r² + r = 0 as r₁ = 0 and r₂ = -1. Then we have written the general solution of the differential equation using these roots as y(t) = c₁ + c₂e⁻ᵗ, where c₁ and c₂ are constants. We have then used the initial conditions given in the question to find these constants.

Solving two equations, we got c₁ = 1 and c₂ = 0. Hence, the general solution of the differential equation is y(t) = 1.In part (c) of the question, we have used the result obtained from part (b) to solve the initial value problem y" + y' = 2t with y(0) = 1 and y'(0) = 0. We have rewritten the given differential equation as y" = 2t - y' and then substituted the general solution of y(t) in this equation. Then we have found that e⁻ᵗ = t, which implies that y(t) = 1 - t. Therefore, the solution of the initial value problem is y(t) = 1 - t.

So, in conclusion, we have solved the differential equation y" + y' = 2t and the initial value problem y" + y' = 2t with y(0) = 1 and y'(0) = 0.

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Answer:x=3±√2

Decimal Form:

x=4.41421356

Step-by-step explanation:

:D

Answer:

x=1.5 y=2.75

Step-by-step explanation:

Answer:

Step-by-step explanation:

use the first equation to solve the second equation

y = 4.25 - x

16.90x + 4(4.25 -x) = 36.35

16.90x + 17 - 4x = 36.35

12.90x = 19.35

x = 1.5

y = 4.25-1.5

y= 2.75

x=1.50

y=2.75

The amount of alcohol remaining after 4 hours would be approximately 64 mg/dL.

We can use the formula for exponential decay to model the amount of alcohol remaining in the blood after t hours:

\(Q(t) = Q_o* e^{(-kt)\)

where Q₀ is the initial amount of alcohol in the blood, k is the decay constant, and t is the time elapsed.

We know that Q₀ = 200 mg/dL, and Q(2) = 128 mg/dL. We can use this information to solve for k:

\(128 = 200 * e^{(-k*2)\)

\(e^{(2k)} = 200/128\)

2k ≈ ln(1.5625)

k ≈ -0.345

Now we can use this value of k to find Q(4):

\(Q(4) = 200 * e^{(-0.345*4)\)

Q(4) ≈ 64

Therefore, the amount of alcohol is 64 mg/dL.

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Answer:

12

Step-by-step explanation:

11, 11, 13, 13, 12, 13, 11, 12, 10, 13

Put the numbers in ascending (increasing) order.

10, 11, 11, 11, 12, 12, 13, 13, 13, 13

If there is an odd number of numbers, the median is the number in the middle.

There are 10 numbers which is an even number of numbers.

For an even number of numbers, the median is the mean of te two middle numbers.

10, 11, 11, 11, 12, 12, 13, 13, 13, 13

The two middle numbers are 12 and 12.

The mean of 12 and 12 is (12 + 12)/2 = 12

Answer: 12

Answer:

Step-by-step explanation:

We want to reduce the radical. In order to do that, we want to find the factors of 96 that are square numbers

The factors of 96 are:

\(1, 96, 2, 48, 3, 32, 4, 24, 6, 16...\)

16 is a square number, so we can rewrite

\(\sqrt{96} = \sqrt{16*6} = \sqrt{16} * \sqrt{6} = 4\sqrt{6}\)

Answer: D.

Step-by-step explanation:

You can start out with the form AX = B and solve for matrix X that would yield the answer

Then X = (A^-1)(B)

A = [1    -1]

      [1     1]

A^-1 = (1/(1 - (1)(-1)))*[1    1]

                             [-1   1]

which can be written as (1/2) * [1    1]

                                                  [-1   1]

B = [26]

     [6]

(A^-1)(B) = (1/2)*[1    1] [6]

                        [-1   1] [26]

= (1/2)*[32]

          [20]

= [16]

  [10]

Answer:

407.3725

Step-by-step explanation:

Step-by-step explanation:

4.1  X 10^2    is    4.1  X 100   =   410

Answer:

I'd say A. Because it's literally going the same way as the arrows shown below.

Answer:

-7.62

Step-by-step explanation:

Using BODMAS rule: Bracket of division,multiplication, addition and subtraction

The  5−44⋅(−0.75)−18÷23⋅0.8−45. solves using BODMAS gives -7.62.

Bracket, Of, Division, Multiplication, Addition, and Subtraction are abbreviated as BODMAS. The BODMAS is used to explain the sequence in which a mathematical equation operates. The BODMAS is also known as PEDMAS in some regions, which stands for Parentheses, Exponents, Division, Multiplication, Addition, and Subtraction.

Given:

5−44⋅(−0.75)−18÷23⋅0.8−45.

Using BODMAS

= 5 + 33 - 0.78 x 0.8 - 45  ( Bracket Solved)

= 38 -0.624-45 ( Division and Multiplication)

= -7.62 (Addition and Subtraction)

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Answer:

31°

Step-by-step explanation: