Destiny places the letters in the word October into a bag what is the probability of destiny selecting a B and then 80 without replacement

Answer:

352.7 m

Step-by-step explanation:

Distance from the cliff 2000m

Angle = 10°

How tall is the cliff?

We solve the above question using the trigonometric function of Tangent

tan θ = Opposite/Adjacent

Opposite = x

Adjacent = 2000m

θ = 10°

Hence:

tan 10 = x/2000m

Cross Multiply

x = tan 10 × 2000m

x = 352.65396142 m

Approximately = 352.7 m

The cliff is 352.7 m tall

Solution a needed 70 ounces and solution b needed 50 ounces

What does "1 ounce" mean?

One ounce weighs 437.5 grains or 28.349 grams and is a sixteenth of a pound (avoirdupois) of weight.

One ounce, abbreviated "oz," equals 480 grains, or 31.103 grams, and is one-twelfth of a Troy or Apothecaries' pound in weight. abbreviation for fluid ounce. a tiny amount or percentage.

So, let x=the of ounces of the 50% acid solution. The total volume after both are mixed is 100 ounces so the amount of the 20% solution will be 120-X. The equation will therefore be:

50% * x + 20% * (100-x) = 41% * 100

Dropping the ‘%’ we get

50x + 2000 - 20x = 4100

30x = 2100

x = 2100/30 = 70

Hence 70 ounces will be needed

Solution a = 70 ounces

Solution b = 50 ounces

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Answer:

tringlae mixed witha football goal take the fool goal out and go from there

Step-by-step explanation:

The PDF of W = X², if X has an exponential distribution with parameter λ, is equal to fW(w) = (1/2)λ√w × \(e^{(-\lambda \sqrt{w} )}\) for w ≥ 0 and fW(w) = 0 for w < 0.

To find the probability density function (PDF) of the random variable W = X² when X has an exponential distribution with parameter λ,

Apply a transformation to the original PDF.

Let us denote the PDF of X as fX(x) and the PDF of W as fW(w). We want to find fW(w).

To begin, let us express W in terms of X,

W = X²

Now, find the PDF of W, which is the derivative of the cumulative distribution function (CDF) of W.

So, find the CDF of W first.

The CDF of W is ,

FW(w) = P(W ≤ w)

Substituting W = X², we have,

FW(w) = P(X² ≤ w)

To determine the probability of X² being less than or equal to w,

consider that X can take on both positive and negative values.

So,  split the calculation into two cases,

First case,

X ≥ 0

In this case, X² ≤ w implies X ≤ √w, since X is non-negative.

Thus, we have,

FW(w) = P(X² ≤ w) = P(X ≤ √w)

Since X has an exponential distribution, its CDF is given by,

FX(x) = 1 -\(e^{(-\lambda x)}\)  for x ≥ 0

for the case X ≥ 0, we have,

FW(w) = P(X ≤ √w) = FX(√w) = 1 -\(e^{(-\lambda \sqrt{w} )}\)

Second case,

X < 0

X² ≤ w implies X ≤ -√w, since X is negative.

However, for X < 0, X² is always non-negative.

The probability is always 0 in this case.

Combining both cases, we can write the CDF of W as,

FW(w) = 1 - \(e^{(-\lambda \sqrt{w} )}\) for w ≥ 0

FW(w) = 0 for w < 0

Finally, to find the PDF fW(w), we take the derivative of the CDF with respect to w,

fW(w) = d/dw [FW(w)]

Differentiating, we have,

fW(w) = (1/2)λ√w × \(e^{(-\lambda \sqrt{w} )}\) for w ≥ 0

fW(w) = 0 for w < 0

Therefore, the PDF of W = X², when X has an exponential distribution with parameter λ, is given by,

fW(w) = (1/2)λ√w × \(e^{(-\lambda \sqrt{w} )}\) for w ≥ 0

fW(w) = 0 for w < 0

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The above question is incomplete, the complete question is:

If X has an exponential (λ) PDF, what is the PDF of W = X² ?

Answer:

A is the correct answer

have a nice day

The solution of the given system is x ≤  -4 or x  ≥  4.

Hence, option A is correct.

Use the concept inequalities defined as:

An inequality is a mathematical statement that uses the inequality symbol to indicate the relationship between two expressions. Both sides of an inequality sign have different expressions.

It signifies that the expression on the left should be more or smaller than the expression on the right, or vice versa. Literal inequalities occur when the relationship between two algebraic expressions is defined using inequality symbols.

The given system is,

4x ≤  -16 or 3x + 5 ≥ 17

Proceed with,

4x ≤  -16

Divide both sides by 4,

x ≤  -4

Now proceed with,

3x + 5 ≥ 17

Subtract 5 on both sides we get,

3x  ≥ 12

Divide both sides by 3

x  ≥  4

Hence,

For the given system x ≤  -4 or x  ≥  4 which is option A.

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The number of scholarships that pay for both books and meals is 1.

To solve this problem, we need to use the concept of set intersection. Let B be the set of scholarships that pay for books, and M be the set of scholarships that include a meal ticket. We want to find the number of scholarships that pay for both books and meals, which is the size of the set intersection B ∩ M.

From the problem statement, we know that:

|B| = 7 (seven scholarships pay for books)

|M| = 4 (four scholarships include a meal ticket)

We can use the inclusion-exclusion principle to find |B ∩ M|:

|B ∩ M| = |B| + |M| - |B U M|

We need to find the size of the union of the sets B and M, which includes all scholarships that pay for books, all scholarships that include a meal ticket, and possibly some scholarships that pay for both. From the problem statement, we know that there are two scholarships that exclude both meals and books, so we can subtract that from the union:

|B U M| = |B| + |M| - |B ∩ M| + 2

Substituting the known values, we get:

|B ∩ M| = |B| + |M| - |B U M| + 2

|B ∩ M| = 7 + 4 - (7 + 4 - |B ∩ M| + 2) + 2

|B ∩ M| = 1 + |B ∩ M|

Solving for |B ∩ M|, we get

|B ∩ M| = 1

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The given question is incomplete, the complete question is:

A student applies for ten different scholarships to various universities. seven of the scholarships pay for books. four scholarships include a meal ticket. two of the scholarships exclude meals and books. how many scholarships pay for both books and meals?

Finally, we just need to use the z-coordinate of the point as the third coordinate in our cylindrical coordinates. So our final answer is: (r, θ, z) = (sqrt(x2 + y2), arctan(y/x), z)

To express a point given in Cartesian coordinates (x, y, and z) in cylindrical coordinates (r,, and z), we need to use some trigonometry. Here's how it works:
First, we need to find the distance from the origin to the point in question. This distance is given by the formula:
r = sqrt(x2 + y2)
where sqrt() means "square root" and 2 means "squared". So we take the square of the x-coordinate, add it to the square of the y-coordinate, and then take the square root of the result. This gives us the distance from the origin to the point in the x-y plane.
Next, we need to find the angle that the point makes with the positive x-axis. This angle is given by the formula:
= arctan(y/x)
where arctan() means "inverse tangent." This formula gives us the angle in radians (not degrees) between the positive x-axis and the line from the origin to the point. Note that we need to be careful about the signs of x and y when using this formula since arctan() can only give us angles between -pi/2 and pi/2 (i.e., the first and fourth quadrants).
Finally, we just need to use the z-coordinate of the point as the third coordinate in our cylindrical coordinates. So our final answer is: (r, θ, z) = (sqrt(x2 + y2), arctan(y/x), z)

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Therefore, the point (3,4,5) in Cartesian coordinates can be expressed in cylindrical coordinates as (5,0.93,5), where r = 5, θ ≈ 0.93 radians, and z = 5.

Sure, I can definitely help you with that! To express a point given in Cartesian coordinates (x,y,z) in cylindrical coordinates (r,θ,z), we use the following formulas:

r = √(x^2 + y^2)
θ = arctan(y/x)
z = z

So, if we have a point (x,y,z) in Cartesian coordinates, we can convert it to cylindrical coordinates using these formulas. For example, let's say we have the point (3,4,5) in Cartesian coordinates. To express this point in cylindrical coordinates, we first find r, θ, and z using the formulas above:

r = √(3^2 + 4^2) = √25 = 5
θ = arctan(4/3) ≈ 0.93 radians
z = 5


I hope this helps! Let me know if you have any further questions or if you need me to explain anything in more detail.

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Answer:

Well yes. So we know that our x intercepts are -2 and postive 3. If we look at the graph, we can see that when y=0, the quadratic is at both -2 and 3 for x.

Step-by-step explanation:

This might not be the full reason why this is the answer, but this is for sure part of why the factored form is correct

Sorry I cannot help more than that! :(

Answer:

The correct answer is, x=−1.104090

which is near to 3.

so the answer is 3.

The statement describes the percentage of people in the nation who eat out without making any inferences or assumptions.

The statement made by the person is a descriptive statement. This means that the statement simply describes the percentage of people in the nation who always eat out. It does not make any assumptions or inferences based on the data or evidence given. A descriptive statement is one that simply states facts or information without making any assumptions or interpretations about it. It is important to note that a descriptive statement does not imply any cause and effect relationship between the facts or data given. For example, in this statement, there is no inference being made that the people who eat out are healthier or more likely to be successful than people who don't eat out. It is simply stating the percentage of people in the nation who always eat out.

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Answer:

this should be the graph.

Step-by-step explanation:

I hope this helps.

Answer:

5

Step-by-step explanation:

The relationship between the given data can be described in

terms of functions.

Correct response:

1. 60 °F

2. Day 2, Day 4, and Day 6

3. The high temperature is a function of the day

4. The day is not a function of the high temperature

The relationship between the Day and the high temperature

is given by the information in the table, and the definition from

the definition of functions.

The probable table in the question as obtained from a similar question posted online is presented as follows;

\(\begin{tabular}{|l|c|c|c|c|c|c|c|c|c|c|}Day&1&2&3&4&5&6&7&8&9&10\\Temperature (degrees F)&60&61&63&61&62&61&60&65&67&63\end{array}\right]\)

Please find attached the graph of the above table created with MS Excel

The probable questions are;

1. The high temperature on Day 7

Solution;

2. The days on which the high temperature was 61 °F

Solution;

From the table, the days on which the high temperature was 61 °F are;

3. A function is a relationship in which an input has exactly

one output, and a variable y is said to be a function of a

variable x if each value of x gives one value of y.

Where x = The day, and y = The high temperature, we have;

Each day has exactly one output of high temperature,

Each value of x, the day, gives one value of y, the high

temperature.

Therefore;

4. When the input variable x is the high temperature, and the

output variable, y is the day, we have;

At high temperatures, x, of 61° F, the days y are Day 2, Day 4,

and Day 6.

Therefore;

Some values of high temperature, x, have more than one value of the Days y.

Therefore;

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The probability of a randomly selected flight from Chicago to Champaign being on time is 0.73 or 73% and the probability that it is snowing in Chicago given that the flight is on time is approximately 32.88%..

To calculate the probability of a randomly selected flight from Chicago to Champaign being on time, we need to use the law of total probability by considering the probability of each weather condition in Chicago and its corresponding probability of the flight being on time.

We can calculate the probability of the flight being on time when it is sunny in Chicago as follows:

0.5 (probability of sunny weather) x 0.8 (probability of on-time flight in sunny weather) = 0.4

Similarly, we can calculate the probability of the flight being on time when it is rainy and snowy in Chicago:

0.1 (probability of rainy weather) x 0.9 (probability of delayed flight in rainy weather) = 0.09

0.4 (probability of snowy weather) x 0.6 (probability of delayed flight in snowy weather) = 0.24

Then, we can sum up the probabilities of on-time flights under all weather conditions:

0.4 + 0.09 + 0.24 = 0.73

The symbolic expression for the probability that it is snowing in Chicago given that the flight is on time is P(Snowing|On time). We can use Bayes' theorem to calculate this probability as follows:

P(Snowing|On time) = P(On time|Snowing) x P(Snowing) / P(On time)

We have already calculated P(On time) to be 0.73. The probability of the flight being on time when it is snowing in Chicago is 0.6, and the probability of snowing weather is 0.4. Thus, we can substitute these values into the formula:

P(Snowing|On time) = 0.6 x 0.4 / 0.73 = 0.3288 or 32.88%.

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Answer:

No solution.

Step-by-step explanation:

5(3x-2)=10x-2+5x

15x-10=10x+5x-2

15x-10=15x-2

15x-15x-10=-2

0-10=-2

-10=-2

no solution

Length of tree = 8.57 m.

Let AB represent the length of lower CD represent the length of tree.

Now we use the trigonometric ratios formula

tan = Perpendicular / base.

Now, in triangle AEC

tan 28° = AE / EC = AE / 44

= AE = 44 * Tan 28^.

= AE = 23.39 m

Now, in triangle ABD.

Length of tree = Length of  tower

= Length of tree = 31.97 – 23.39

= Length of tree = 8.57 m.

Pythagoras of Samos became an historic Ionian Greek logician and the eponymous founder of Pythagoreanism. His political and religious teachings were widely recognized in Magna Graecia and motivated the philosophies of Plato, Aristotle, and, through them, the West in preferred. knowledge of his life is clouded with the aid of legend; however, he appears to have been the son of Menarches, a gem-engraver at the island of Samos. cutting-edge students disagree concerning Pythagoras's schooling and influences; however, they do agree that, around 530 BC, he travelled to Croton in southern Italy, wherein he based a school in which initiates have been sworn to secrecy and lived a communal, ascetic lifestyle.

This lifestyle entailed some of dietary prohibitions, historically said to have included vegetarianism, despite the fact that current students doubt that he ever encouraged entire vegetarianism. The coaching most securely recognized with Pythagoras is metempsychosis, or the "transmigration of souls", which holds that every soul is immortal and, upon demise, enters into a new body.

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Answer:

2p < 7

Step-by-step explanation:

Two p which is 2p is less than or fewer than 7. No equal to so no line under it.

The inequality 2p < 7 represents the word sentence "Twice a number p is fewer than 7" and indicates that the value of p must be less than 3.5.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

The word sentence "Twice a number p is fewer than 7" can be written as the inequality:

2p < 7

In this inequality, "2p" represents twice the value of the number p, and "7" represents the value that twice the number p is fewer than.

To explain further, if we divide both sides of the inequality by 2, we get:

p < 3.5

This means that the value of p is less than 3.5. So, any number that is less than half of 7 (which is equal to 3.5) satisfies the inequality.

Therefore, the inequality 2p < 7 represents the word sentence "Twice a number p is fewer than 7" and indicates that the value of p must be less than 3.5.

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Answer:

x =  47 degrees.

Step-by-step explanation:

The angles in a triangle add up to 180 degrees, therefore:

x + 43 + 90 = 180

x = 180 - 43 - 90

x = 180 - 133

= 47 degrees.

Answer:

Step-by-step explanation:

a1 = - 7

d = 4

an = a1 + (n - 1) * d

an = - 7 + (n - 1) * 4

an = - 7 + 4n - 4

an = -11 + 4n

Try this out. Let n = 3

a3 = -11 + 4*3

a3 = - 11 + 12

a3 = 1   Which is what the series says.

Answer:

(x,y) = (0,  1/3)

Step-by-step explanation:

  [1]    2x + 3y = 1

  [2]    4x - 6y = -2

Graphic Representation of the Equations :

   3y + 2x = 1        -6y + 4x = -2  

Solve by Substitution :

Solve equation [2] for the variable  x  

 [2]    4x = 6y - 2

 [2]    x = 3y/2 - 1/2

Plug this in for variable  x  in equation [1]

  [1]    2•(3y/2-1/2) + 3y = 1

  [1]    6y = 2

Solve equation [1] for the variable  y

  [1]    6y = 2  

  [1]    y = 1/3  

By now we know this much :

   x = 3y/2-1/2

   y = 1/3

Use the  y  value to solve for  x  

   x = (3/2)(1/3)-1/2 = 0

Answer:

For one pound of Salmon in the first order, it is $13.27 per pound, and for tuna it is $24.3 per pound.

For the second order however, Salmon is $13 per pound, and Tuna is $26 per pound.

Step-by-step explanation:

A critical value, z Subscript alphas is (c) z-score with an area of ?? to its left.

A critical value, denoted as z (Subscript α/2), is a point on the standard normal distribution curve, which is used in hypothesis testing. It helps to determine whether to accept or reject the null hypothesis. In this context, the critical value denotes the z-score with an area of ?? to its left, which represents the probability of observing a value more extreme than the critical value in the left tail of the distribution.

The critical value z Subscript α/2 signifies the z-score with an area of ?? to its left on the standard normal distribution curve, which is crucial for hypothesis testing.

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9514 1404 393

Answer:

  5 5/6 hours

Step-by-step explanation:

We can add the times, but it is more convenient to use multiplication.

  5(3/6) + 4(5/6) = (15/6) +(20/6) = 35/6 = 5 5/6

Moira swims 5 5/6 hours each week.

To plot the set {-2.5, -1.5, -1.0, 1.0} on the number line, you would start at zero and mark each of the numbers given on the line. So, starting at zero, you would first mark -2.5 to the left, then -1.5 to the left of that, then -1.0 to the left of that, and finally 1.0 to the right of zero. Your number line should now have 5 marks on it: 1.0, 0, -1.0, -1.5, and -2.5. I

To plot the set {-2.5, -1.5, -1.0, 1.0} on the number line, follow these steps:

1. Draw a horizontal line to represent the number line.
2. Mark the integers on the number line with equal spaces between them (e.g., -3, -2, -1, 0, 1, 2, 3).
3. Locate and mark the positions of each number in the set on the number line:
  - For -2.5, mark a point halfway between -2 and -3.
  - For -1.5, mark a point halfway between -1 and -2.
  - For -1.0, mark a point directly on -1.
  - For 1.0, mark a point directly on 1.
4. Label each point with its corresponding value from the set.

Now you have successfully plotted the set {-2.5, -1.5, -1.0, 1.0} on the number line!

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The sample distribution is a collection of the parameters of all possible samples of a particular size taken from a particular population. The correct answer is option E.

A sampling distribution refers to a probability distribution of a statistic which comes from selecting random samples of a given population. Also known as a finite-sample distribution, it represents the distribution of frequencies on how spread apart various outcomes will be for a specific population.

As sample sizes increase, the sampling distributions approach a normal distribution. With infinite numbers of successive random samples, the mean of the sampling distribution is equal to the population mean (µ). The mean of the sampling distribution of a sample proportion is np, the sample size times the probability of success for each trial (or observation).

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We get: v - h + k - s = Ce^(-s/2) or y - x - (h - k) = Ce^(-(x-h-s)/2).

This is the general solution to the original differential equation, in terms of h, k, and C.

To solve the differential equation

dy/dx = (x-y-1)/(x+y+1)

       dy/dx = dv/ds + k

       x - y - 1 = h + s - v - k - 1 = s - v + (h - k - 1)

        x + y + 1 = h + s + v + k + 1 = s + v + (h + k + 1)

        dv/ds + k = [(h + s - v - k - 1) - (s - v + (h - k - 1))] / [(h + s + v + k + 1) -

        (s + v + (h + k + 1))]

       dv/ds + k = [(2h - 2k - 2)s - 2v] / [-2]

       or

       dv/ds = (v - h + k - s) / 2

        dv/ds = du/ds

        and the equation becomes:

        du/ds = -u/2

        v - h + k - s = Ce^(-s/2)

        or

        y - x - (h - k) = Ce^(-(x-h-s)/2)

This is the general solution to the original differential equation, in terms of h, k, and C.

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Answer:

For 1 cup of  pineapple 1 .5  cups of strawberries are used.

Step-by-step explanation:

This question can be solved by using ratios

Strawberry       :      Pineapple

1     cup              :          2/3 cup

x cup                  ;            1 cup

Using the cross product rule

2/3 * x= 1*1

x= 1*1 ÷ 2/3

x= 1*3/2= 1 1/2= 1.5

For 2 cups of pineapple 3 cups of strawberries are used.

For 1 cup of  pineapple 1 .5  cups of strawberries are used.

For 3 cups of pineapple 4.5 cups of strawberries are used.

If we reject the null hypothesis, it suggests that the test statistic is more extreme than the critical value, the correct answer is b.

When we conduct a hypothesis test, the null hypothesis assumes that there is no significant difference or relationship between the variables being tested. The alternative hypothesis, on the other hand, suggests that there is a significant difference or relationship. In hypothesis testing, we compare the test statistic (calculated from our sample data) to the critical value (determined based on the significance level chosen).

If the test statistic is more extreme than the critical value, it means that the observed data is highly unlikely to occur under the assumption of the null hypothesis. This leads us to reject the null hypothesis in favor of the alternative hypothesis. By rejecting the null hypothesis, we conclude that there is evidence to support the presence of a significant difference or relationship between the variables.

rejecting the null hypothesis indicates that the test statistic is more extreme than the critical value, providing evidence for a difference or relationship between the variables being tested.

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