since critical values of t vary by sample size, before using the t table we must first calculate

The final answer is the sum of the number of possibilities for each case:

Total possibilities = Sum[(10 * 9 * (36)^n) * (nC4) * (36)^(n-4) * (36C3) * (nC3) * (36)^(n-3)] for all valid values of n.

To find the number of valid strings that satisfy the given properties, we can break down the problem into several cases and count the possibilities for each case.

Case 1: The first and last symbols are distinct digits.

There are 10 choices for the first digit (0-9) and 9 choices for the last digit (since it cannot be the same as the first digit). The middle characters can be any combination of letters and digits. Since there are no restrictions on the middle characters, we have a total of (36)^n possibilities, where n is the number of middle characters.

Case 2: Precisely four symbols in the string are the letter 'a'.

There are (nC4) ways to choose the positions of the four 'a' characters in the string, where n is the number of total characters in the string. For each arrangement of 'a's, the remaining characters can be any combination of letters and digits, which gives us (36)^(n-4) possibilities.

Case 3: Precisely three characters are elements of the set, and these characters are all distinct.

There are (36C3) ways to choose three distinct characters from the set of 36 (26 lowercase letters + 10 decimal digits). Once the three characters are chosen, they can be arranged in (nC3) positions in the string, where n is the total number of characters. The remaining characters can be any combination of letters and digits, which gives us (36)^(n-3) possibilities.

To find the total number of valid strings, we need to consider all possible combinations of these cases. Therefore, the final answer is the sum of the number of possibilities for each case:

Total possibilities = Sum[(10 * 9 * (36)^n) * (nC4) * (36)^(n-4) * (36C3) * (nC3) * (36)^(n-3)] for all valid values of n.

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Answer:

\(y - 17 = -\frac{11}{6} (x+5)\)

Step-by-step explanation:

Remember that the slope-point form of a line is:

\(y - y_{1} = m(x-x_{1})\), where \((x_{1}, y_{1} )\) the point on the line, and \(m\) is the slope. All these values are given in the question, so we just go ahead and plug them in to get:

\(y - 17 = -\frac{11}{6} (x+5)\)

Hope this helps

Tri-County will have to charge approximately $83.1 per MWh to break even.

To calculate the break-even price that Tri-County will have to charge to cover its costs, we need to consider both the fixed costs and the variable costs. The fixed costs are given as $80.1 million per year.

The variable costs are calculated by multiplying the quantity of electrical power sold (150,000 MWh per year to Boulder) by the variable cost per MWh ($20). Therefore, the variable costs amount to 150,000 MWh/year * $20/MWh = $3 million per year.

To cover both fixed and variable costs, Tri-County needs to charge a total amount that equals the sum of these costs. The total cost is $80.1 million + $3 million = $83.1 million per year.

Now, let's calculate the break-even price per MWh. Since Tri-County has a demand of 1,000,000 MWh from its customers (other than Boulder), we can divide the total cost by this quantity to find the break-even price.

Break-even price = Total cost / Quantity of electrical power demanded
Break-even price = $83.1 million / 1,000,000 MWh = $83.1/MWh

Therefore, Tri-County will have to charge approximately $83.1 per MWh to break even.

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Answer:

2/3 or 0.666

Step-by-step explanation:

3x+2=4

3x=4-2

3x=2

x=2/3

x=0.666

Answer:

\(x=\frac{2}{3}\)

Step-by-step explanation:

\(\left(3x+2\right)=4\)

\(3x+2=4\)

Subtract 2 from both sides:-

\(3x+2-2=4-2\)

\(3x=2\)

Divide both sides by 3:-

\(\frac{3x}{3}=\frac{2}{3}\)

\(x=\frac{2}{3}\)

OAmalOHopeO

Answer:

Criag has 4 dimes and 8 nickles

Step-by-step explanation:

1 dime = 10 cents

1 nickle = 5 cents

4 dimes = 40 cents

8 nickles = 40 cents

40 cents + 40 cents = 80 cents

8 - 4 = 4

therefore it is equivelent that criag has 4 dimes and 8 nickels.

Answer:

Use the linear pair axiom

answer will be 35 degrees

Option B does not represent a polynomial identity.

Polynomial identities are equations that are true for all possible values of the variable. The polynomial identities are -

Given are the equations as shown in the image.

The equation that is not a polynomial identity is option B.

Therefore, Option B does not represent a polynomial identity.

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Answer: \(y=-\frac{1}{3}x-4\)

Step-by-step explanation:

To solve for y, we want to make sure y is isolated. SInce y is already isolated, all we need to do is divide both sides of the equation by 3.

\(3y=-x-12\)          [divide both sides by 3]

\(y=-\frac{x}{3} -4\) or \(y=-\frac{1}{3}x-4\)

Algorithm is a set of instructions for solving a problem or performing a task, typically designed for a computer to follow.

An algorithm is essentially a step-by-step procedure for solving a problem or accomplishing a specific task. It is used in various fields, including mathematics, computer science, engineering, and many others. In computer science, algorithms are essential for software development and programming, as they provide a systematic approach to designing and implementing complex programs. The process of developing an algorithm typically involves breaking down a problem into smaller sub-problems, identifying the key steps required to solve each sub-problem, and then putting the steps together in the correct order to form a complete solution.

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Answer:

b

Step-by-step explanation:

$5.28 for 3 corn (divide)

the rate per corn is 1.76 ($1.76 for each corn)

the x value is the amount of corn and the y value represents the price for the amount of corn. If you multiply each x value by 1.76 only one will equal the given y value

The calculated measure of angle y is 60 degrees

from the question, we have the following parameters that can be used in our computation:

The figure

From the figure, we can see that

The shape can be divided into two triangles such that

Each triangle is an equilateral triangle

The measure of an angle in an equilateral triangle is 60 degrees

using the above as a guide, we have the following:

y = 60

Hence, the value of y is 60 degrees

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The factorise form of the trinomial  6x² + 11x - 10 is (3x - 2)(2x + 5).

Trinomials is a polynomial that has three terms. Let's factorise the trinomial by grouping as follows:

6x² + 11x - 10

The grouping method can be used to factor polynomials whenever a common factor exists between the groupings.

Hence, let's find the factor of 6x² + 11x - 10

6x² + 11x - 10

let's find two numbers we can multiply to get -60 and add to get 11.

6x² + 15x - 4x - 10

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

Hence,

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

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The probability that a total of k balls are withdrawn, given r red balls have been withdrawn from an urn containing n red and m blue balls, can be calculated using the hypergeometric probability formula.

To calculate the probability, we use the hypergeometric probability formula: P(X = k) = (C(r, k) * C(n-r, m-k)) / C(n, m), where P(X = k) represents the probability of drawing k balls, C denotes the combination function, and n, m, r, and k represent the number of red balls, blue balls, red balls already withdrawn, and total balls drawn, respectively.

The formula takes into account that the probability of drawing a specific combination of k balls from the remaining available red and blue balls changes as each ball is withdrawn. The combination function accounts for the number of ways to choose the desired number of red balls and the remaining blue balls.

By plugging in the appropriate values for n, m, r, and k into the formula, we can calculate the probability of obtaining a specific number of balls after r red balls have already been withdrawn.

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Answer:

A=2πrh+2πr2=2·π·3·2+2·π·32≈94.24778

Step-by-step explanation:

its a lot and i hope this is the answer

\(\textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=2 \end{cases}\implies SA=2\pi (3)(2+3) \\\\\\ SA=6\pi (5)\implies SA=30\pi \implies SA\approx 94.2~ft^2\)

Answer:

.65

.9

1.4

.5

.25

.75

1.25

1.5

Step-by-step explanation:

You can double check by putting them into your calculator or dividing them by hand

Answer:

0.65

0.9

1.4

0.5

0.25

0.75

1.25

1.5

Step-by-step explanation:

Answer:

Your Perimiter is 42

Step-by-step explanation:

Distance from 7,5 to -7,5 is 14

Distance from -7,5 to -7,-2 is 7

Then we double both those numbers as it is a rectangle

2l + 2w = Per...

28 + 14 = 42

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Answer:

2, -7, 3 are your answers! :).

Step-by-step explanation:

The opposite of a positive would be it's negative form, and the opposite of a negative would be it's positive form.

Given ;

9(0.2)n − 1 n = 1

The given geometric series is convergent.

Σ [from n=1 to infinity] 9(0.2)^(n-1)

To determine if a geometric series is convergent or divergent,

we need to look at the common ratio (r). In this case, r = 0.2.

A geometric series is convergent if the absolute value of the common ratio is less than 1 (|r| < 1) and divergent if the absolute value of the common ratio is greater than or equal to 1 (|r| >= 1).

Since |0.2| < 1, the given geometric series is convergent.

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Answer:

x= 67 degrees and z= 54 degrees

Step-by-step explanation:

Using alternative interior angle, you can see that x is equal to 67 degrees

-In a triangle, there is 180 degrees. Since there are 59 degrees and 67 degrees in the triangle, you will just need to solve for z.

-In order to solve for z, you subtract 180-59-67= 54

Hope this helps!

Based on the provided information, the expected number of tails when this coin is tossed twice is 1.96.

The expected number of tails when this coin is tossed twice can be found using the formula for expected value, which is E(X) = ∑xp(x), where x is the value of the outcome and p(x) is the probability of that outcome occurring.

Since a tail is six times as likely to occur as a head, the probability of getting a tail is 6/7 and the probability of getting a head is 1/7.

When the coin is tossed twice, there are four possible outcomes: two tails, one tail and one head, one head and one tail, and two heads. The expected value for each of these outcomes can be calculated as follows:

E(two tails) = 2(6/7)(6/7) = 72/49

E(one tail and one head) = 2(6/7)(1/7) = 12/49

E(one head and one tail) = 2(1/7)(6/7) = 12/49

E(two heads) = 2(1/7)(1/7) = 0

The expected number of tails when this coin is tossed twice is the sum of these expected values:

E(X) = 72/49 + 12/49 + 12/49 + 0 = 96/49 ≈ 1.96

Therefore, the expected number of tails when this coin is tossed twice is 1.96 (rounded to two decimal places).

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Answer: A=72x5

Step-by-step explanation:

The formula for the area of a rectangle is:

Area=length*width

here,

length=12x3

width=6x2

Putting these values in the formula for area gives-

Area= 12x3*6x2

simplifying the equation gives-

Area = (12*6)*(x3*x2)

we can multiply the constants and use the exponents rule to multiply the terms with power.

y^a* y^b = y^(a+b)

that provides us with-

Area = 72 *(x^(3+2))

Area = 72x5

Answer:

La altura del prisma es 2,4 m.

Step-by-step explanation:

Para calcular el volumen de un prisma rectangular, es necesario multiplicar sus tres dimensiones, esto es, longitud*ancho*altura. El volumen se expresa en unidades cúbicas.

Entonces:

volumen= longitud*ancho*altura

En este caso, los datos conocidos son:

Reemplazando:

24 m³= 2,5 m* 4 m* altura

Resolviendo:

\(altura=\frac{24 m^{3} }{2,5 m*4m}\)

\(altura=\frac{24 m^{3} }{10 m^{2} }\)

altura= 2,4 m

La altura del prisma es 2,4 m.

First, lets draw a graph of some function that has this properties:

in our case, we know that if our function is a polynomial and has a bounce in some point, that means that the point that its bounces is a even degree root, wich means that is a double root, or a fouth root...

So, if we construct a polinomial with the form:

Is a polynomial that has roots in x=3, x=-2 and double root in x=5, meaning that bounces in x=5.

The given information that X0=1, X1=4, X2=1, X3=3, and X4=3 further restricts the possible values that X5 can take.

The realization of the stochastic process implies that the values of the stochastic process are observed at particular points in time. It is denoted by x(t) and takes the form of a function of time t.

If the process is discrete, then the function is a sequence of values at discrete points in time.

A stochastic process is one that evolves over time and the outcomes are uncertain.

The given expression P(X5=3|X4=3,X3=3,X2=1,X1=4, X0=1) gives the probability of X5 being equal to 3 given that X4 is equal to 3, X3 is equal to 3, X2 is equal to 1, X1 is equal to 4, and X0 is equal to 1.

To understand the above expression, suppose we have a stochastic process with values X0, X1, X2, X3, X4, and X5.

The given expression provides the conditional probability of the value of X5 being equal to 3 given that X0, X1, X2, X3, and X4 take specific values.

The given information that X0=1, X1=4, X2=1, X3=3, and X4=3 further restricts the possible values that X5 can take.

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Answer:

y=7

Step-by-step explanation:

x=3

Answer:

5, 6, and 8 don’t have solutions because they are parallel / have the same slope. 7 has a solution outside of the domain and range of this graph.

Step-by-step explanation:

I’m honestly not sure about 7, it seems like it should be parallel as well. tell me if I should redo it lol.

Answer:

250.50 - 35m = 300 - 45.25m

Step-by-step explanation:

Given :

International Business School :

Initial = 250.50

Spending per month = $35

Future Agricultural leaders club :

Initial = $300

Spending per month = 45.25

The number of months, m itvwi take for them to have the same amount of money :

Total spending after m months for both :

Initial - spending per month * number of months

International Business School :

250.50 - 35m - - - (1)

Future Agricultural Leaders Club :

300 - 45.25m - - - - - 2)

Equate both : (1) and (2)

250.50 - 35m = 300 - 45.25m

Answer:

250.50 - 35m = 300 - 45.25m

( option B )

Answer:

  when that accuracy is sufficient

Step-by-step explanation:

Powers of ten are used for estimation purposes when that level of accuracy is sufficient for the purpose.

For example, we estimate the number of stars in the Milky Way galaxy to be about 100 billion (10^11). We have no idea (and don't really care) whether it is 100 billion or 200 billion or 85 billion. We think it likely that it is more than 10 billion and less than 1 trillion, so 100 billion is "close enough". That stars are being continually created and destroyed, that there are various degrees of "star-ness", and that what you see depends on where you are also comes into consideration.

Step-by-step explanation:

perimeter = 2y + 2y + 3 + 3x + 2y + 3 + 2y + 4x + 5

= 8y + 7x + 11

Step-by-step explanation:

2y+3+2y+4x+5+3x

=2y+2y+3x+4x+3+5

=4y+7x+8