8 17 26 Find the 41st term.

Answer:

2.555555555555.....

(the 5 is repeating)

Step-by-step explanation:

This is the answer because:

1) To convert the fraction to a decimal, you have to divide the numerator by the denominator.

2) Therefore, 23/9 is 2.5 (the 5 is repeating)

Hope this helps!

Answer:

2.4

General Formulas and Concepts:

Math

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

4.7 - 2.3

Step 2: Evaluate

Subtract

2.4

Answer:

2.4

Step-by-step explanation:

The division yields 1/14 for the complex fraction.

Division is one of the four basic operations of arithmetic, along with addition, subtraction, and multiplication. It is an inverse operation to multiplication, meaning that dividing by a number is the same as multiplying by its reciprocal. Division can be thought of as the process of finding how many times a number (the divisor) can fit into another number (the dividend). The result of the division is called the quotient. In some cases, the division may result in a fractional number, representing a partial division. In this case, the result is a rational number, which is a type of real number. Division can also be represented using long division, a method used to divide large numbers or polynomials. It involves dividing the dividend by the divisor one digit at a time, until the division is complete.

Here,

=22/44/7

=22/44*1/7

=1/14

The answer for the complex fraction is 1/14 by the division.

To know more about division,

https://brainly.com/question/28598725

#SPJ1

Answer:

52

Step-by-step explanation:

If JK bisects the angle, the two angles are equal

6x+2 = 8x-6

Subtract 6x from each side

6x-6x+2 = 8x-6x-6

2 = 2x-6

Add 6 to each side

2+6 =2x-6+6

8 =2x

Divide by 2

8/2 =2x/2

4 =x

Now find angle LJM, which is the sum of the two angles

6x+2 + 8x-6

14x -4

14*4-4

56-4

52

Answer:

D) 52

Step-by-step explanation:

since htere is an angle bisector that means that (6x+2) and (8x-6) are equal to each other

so

(6x+2)=(8x-6)

-6x         -6x

2=2x-6

+6    +6

8=2x

/2 /2

x=4

no you plug x back into one of the equations so

6(4)+2=26

now 26x2=52

On average, the neutrons incur 69 collisions with the Li⁷ moderator, to slow it down to the required Kinetic Energy.

The speed of a 2-MeV neutron is 1.54 * 10⁷ m/s.

To solve this problem, we use the basic principles of energy transfer in collisions., which work in the same way for atomic particles, as they do for larger objects.

We have the initial energy of the neutron to be 2MeV and the final energy after collisions to be 0.0253eV

E₀ = 2MeV

Eₙ = 0.0253 eV

For calculating the average number of collisions, we use the below formula:

n = (1/ξ) * ln(E₀/Eₙ)

where ξ is called the average logarithmic decrement, unique for every element.

We calculate that using another equation, which goes as follows:

ξ = 1 + (A - 1)²/2A * ln[ (A - 1)/(A + 1) ]

where A is the mass number of the moderator element.

Since we have a Lithium-7 moderator,

ξ = 1 + (7 - 1)²/14 * ln[ (7 - 1)/(7 + 1) ]

  = 1 + (6)²/14 * ln[ 6/8 ]

  = 1 + (36/14)*ln(3/4)

  = 1 + (18/7)*(-0.287)

  = 1 - 0.738

  = 0.262

So, the logarithmic decrement for Lithium-7 is 0.262.

Finally, by substituting this in the number of collisions equation, we get:

n = (1/0.262)*ln(2*10⁶/0.0253)

  = 3.81 * ln(79.05*10⁶)

  = 3.81 * 18.185

  = 69.28

 ≅ 69 collisions.

Now for the second part, we need the speed of a 2-MeV neutron in general.

We know that E = (1/2)mv² is the equation for Kinetic Energy.

By rearranging it, we get:

v² = 2E/m

v = √(2E/m)

So, for a neutron of energy 2MeV, whose mass is 1.67 * 10⁻²⁷, the velocity or speed is:

v = √ ( 2 * 2 * 10⁶ 1.6 * 10⁻¹⁹/1.67 * 10⁻²⁷)

  = √(4 * 10¹⁴/1.67)

  = √(2.39 * 10¹⁴)

  =  1.54 * 10⁷ m/s

So, the velocity of the neutron is 1.54 * 10⁷ m/s.

For more on Fission Reactions and Properties,

brainly.com/question/15031433

#SPJ4

(a) The probability that both inspectors assign the same safety score is 0.80.

(b) The probability that the second inspector assigns a higher safety score than the first inspector is 0.11.

(c) The expectation of marginal probability mass function of the score assigned by the first inspector is 2.83 and variance is 0.83.

(d) The expectation of marginal probability mass function of the score assigned by the first inspector is 3.00 and variance is 0.77.

(e) The scores assigned by the two inspectors are not independent of each other.

(f) The covariance of the scores assigned by the two inspectors is -0.0148.

(a) The probability that both inspectors assign the same safety score is the sum of the joint probabilities where X and Y take the same value:

P(X = Y) = P(1,1) + P(2,2) + P(3,3) + P(4,4) = 0.09 + 0.15 + 0.24 + 0.32 = 0.80

(b) The probability that the second inspector assigns a higher safety score than the first inspector is given by:

P(Y > X) = P(2,1) + P(3,1) + P(4,1) + P(3,2) + P(4,2) + P(4,3) = 0.03 + 0.01 + 0.01 + 0.03 + 0.01 + 0.02 = 0.11

(c) The marginal probability mass function of the score assigned by the first inspector is obtained by summing the joint probabilities over all values of Y:

P(X = 1) = 0.09 + 0.02 + 0.01 + 0.00 = 0.12

P(X = 2) = 0.03 + 0.15 + 0.01 + 0.01 = 0.20

P(X = 3) = 0.01 + 0.03 + 0.24 + 0.02 = 0.30

P(X = 4) = 0.01 + 0.01 + 0.04 + 0.32 = 0.38

The expectation of X is given by:

E(X) = 10.12 + 20.20 + 30.30 + 40.38 = 2.83

The variance of X is given by:

Var(X) = E(X^2) - [E(X)]^2

= (1^20.12 + 2^20.20 + 3^20.30 + 4^20.38) - (2.83)^2

= 0.83

(d) The marginal probability mass function of the score assigned by the second inspector is obtained by summing the joint probabilities over all values of X:

P(Y = 1) = 0.09 + 0.03 + 0.01 + 0.00 = 0.13

P(Y = 2) = 0.02 + 0.15 + 0.01 + 0.01 = 0.19

P(Y = 3) = 0.01 + 0.03 + 0.24 + 0.02 = 0.30

P(Y = 4) = 0.01 + 0.01 + 0.04 + 0.32 = 0.38

The expectation of Y is given by:

E(Y) = 10.13 + 20.19 + 30.30 + 40.38 = 3.00

The variance of Y is given by:

Var(Y) = E(Y^2) - [E(Y)]^2

= (1^20.13 + 2^20.19 + 3^20.30 + 4^20.38) - (3.00)^2

= 0.77

(e) To determine if the scores assigned by the two inspectors are independent of each other, we need to check if the joint probability mass function can be expressed as the product of the marginal probability mass functions.

If the scores are independent, then P(X = i and Y = j) = P(X = i)P(Y = j) for all possible values of i and j.

Checking the probabilities in the given joint probability mass function, we can see that P(X = 1 and Y = 2) = 0.03, P(X = 1) = 0.12, and P(Y = 2) = 0.20.

Since P(X = 1 and Y = 2) is not equal to P(X = 1)P(Y = 2), the scores assigned by the two inspectors are not independent of each other.

To know more on marginal probability mass function

https://brainly.com/question/14263946

#SPJ4

The function of the town's population is an exponential growth

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

Initial population = 3800

Growth  rate = 2% every year

From the above, we understand that

There is a growth in the population by 2% every year

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

This means that the function is an exponential growth

Read more about exponential functions at

https://brainly.com/question/2456547

#SPJ1

The answer is n = -4

I hope it helps.

The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.

It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.

The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.

In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Learn more about hypothesis on:

brainly.com/question/15980493

#SPJ12

i hope my answer help you

1st=5x-100

2nd=1/3x-7

3rd=x²×4

Answer: -9 degrees Fahrenheit

Step-by-step explanation:

Given: Temperature at 6:00 AM = -12 degrees Fahrenheit

Temperature increased each hour = \(\dfrac12\) degrees Fahrenheit

Temperature increase in 6 hours = \(6\times\dfrac12=3\text{ degrees Fahrenheit}\)

Temperature at noon = Temperature at 6:00 AM+Temperature increase in 6 hours

= -12+3 degrees Fahrenheit

= -9 degrees Fahrenheit

Hence, the temperature in degrees Fahrenheit at noon= -9 degrees Fahrenheit

Bond A: Maturity = 19 years, Yield = 14%, Price = $255.10

Bond B: Maturity = 5 years, Yield = 12%, Price = $608.00

Bond C: Maturity = 9 years, Yield = 8.61%, Price = $380.00

To calculate the price, maturity, and yield for each bond, we need to use the formula for present value of a zero-coupon bond:

Price = Face Value / \((1 + Yield/2)^{(2Maturity) }\)

For Bond A, with a face value of $1,000, a yield of 14% (or 0.14 in decimal form), and a maturity of 19 years, the calculation is:

Price = 1000 /\((1 + 0.14/2)^{ 38}\)= $255.10

For Bond B, we are given the price as $608.00, a yield of 12% (or 0.12 in decimal form), and we need to find the maturity. Rearranging the formula, we can solve for maturity:

Maturity = ln(Face Value / Price) / (2 × ln(1 + Yield/2))

Maturity = ln(1000/608) / (2 × ln(1 + 0.12/2)) = 5 years

For Bond C, we are given the price as $380.00, a maturity of 9 years, and we need to find the yield. Again, rearranging the formula, we can solve for yield:

Yield = 2 × ((Face Value / Price)^(1 / (2Maturity)) - 1)

Yield = 2 × ((1000/380)^(1 / (29)) - 1) = 8.61%

Learn more about present value here:

https://brainly.com/question/17112302

#SPJ11

Answer:

75

Step-by-step explanation:

(0.45)(30) = (0.18)x

x = (0.45)(30) / (0.18)

x = 13.5 / 0.18 = 75

Check the answer:

(0.45)(30) = (0.18)(75)

13.5 = 13.5   answer is correct!

Answer:

Step-by-step explanation:

45% of 30 = 18% of some number

In this kind of questions, we usually assume the missing number as as something

Let the number be x

So assuming the number is x, the equation will be as follows:

45% of 30 is equal to 18% of x

45/ 100 * 30 = 18/100 * x

This means that 0.45 *30= 0.18 * x

Therefore, 13.5 = 0.18 x

Thus X = 13.5 / 0.18

Which is equal to 75

Thus 45% of 30 is equal to 18% of 75

Proving the above situation as follows:

45% OF 30 = 13.5

And 18% of 75 = 13.5

Thus both equations are equal.

Solution =75

The function f: {(1, 5), (-2, 3), (-4, 2), (2, 5)} is a one-to-one function. It satisfies condition where each input value maps to unique output value, ensuring no repetition or multiple inputs leading to the same output.

A one-to-one function, also known as an injective function, is a type of function where each input value is uniquely mapped to an output value. In the given function f: {(1, 5), (-2, 3), (-4, 2), (2, 5)}, we can observe that each input value corresponds to a distinct output value. For example, the input 1 is mapped to the output 5, and no other input has the same output. Similarly, the inputs -2, -4, and 2 are associated with the outputs 3, 2, and 5 respectively, without any repetition.

This lack of repetition or duplication in the outputs demonstrates that the function is one-to-one. Each input has a unique correspondence with its output, and no two different inputs yield the same output value. Therefore, based on the provided set of mappings, we can conclude that the function f is indeed a one-to-one function.

To learn more about injective function, click here: brainly.com/question/13423966

#SPJ11

No, it is not possible for I(X;Y) to be greater than or equal to I(X;Z) when (X,Y,Z) does not form a Markov chain. The mutual information between two random variables represents the amount of information they share, and it is based on their joint probability distribution.

In a Markov chain, the conditional dependencies follow a specific order (X→Y→Z), which implies that I(X;Y) is greater than or equal to I(X;Z). This is because the information shared between X and Z is mediated through Y.

Therefore, if (X,Y,Z) does not form a Markov chain, it implies the existence of additional dependencies or correlations that violate the Markov property.

To illustrate this, let's consider an example where I(X;Y) is greater than I(X;Z). Suppose X represents the weather (rainy or sunny), Y represents the presence of clouds (cloudy or clear), and Z represents the likelihood of rain (high or low). In this case, it is possible for I(X;Y) to be greater than I(X;Z).

For instance, on a sunny day (X = sunny), the presence of clouds (Y = cloudy) may provide more information about the weather than the likelihood of rain (Z). Therefore, I(X;Y) can be greater than I(X;Z) in this scenario.

However, it is important to note that this example does not satisfy the Markov property, as the dependency between X and Z is influenced by the presence of clouds (Y).

Visit here to learn more about probability:  

brainly.com/question/13604758

#SPJ11

Answer:

aby/2 = c

Step-by-step explanation:

1) ab * y = ab/2c

2) aby/2 = 2c/2

Final answer: aby/2 = c

The answers are a) H0: μ = 40, b) small sample size, c) t ≈ 2.402, d) the p-value for a two-tailed test with 12 degrees of freedom and a t-statistic of 2.402 is approximately 0.032 and e) we can conclude that the mean height of treated Begonias is significantly different from that reported in the journal.

(a) The null hypothesis states that the population mean height of treated Begonias, μ, is equal to the mean height reported in the journal, which is 40 centimeters.

H0: μ = 40

(b) Since the population standard deviation is unknown, we can use a t-test statistic for a small sample size.

(c) The test statistic for a two-sample t-test is calculated using the formula:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

In this case:

sample mean = 48

hypothesized mean = 40

sample standard deviation = 11

sample size = 13

t = (48 - 40) / (11 / √(13))

t ≈ 2.402

(d) To find the p-value, we need to compare the test statistic to the t-distribution with (n - 1) degrees of freedom, where n is the sample size.

In this case, we have 13 - 1 = 12 degrees of freedom.

Using a t-table, we find that the p-value for a two-tailed test with 12 degrees of freedom and a t-statistic of 2.402 is approximately 0.032.

(e) Since the p-value (0.032) is less than the significance level of 0.05, we reject the null hypothesis.

Therefore, we can conclude that the mean height of treated Begonias is significantly different from that reported in the journal.

Learn more about statistic click;

https://brainly.com/question/32201536

#SPJ4

Answer:

The distance between the points (4,3) and (1,-1) is C. 5 units.

Step-by-step explanation:

The probability of a password without repeating letters is 66.4%

What are permutations?

The permutation is the selection of some or all of the objects from a set and then arranging them by paying attention to the order

If the selected object cannot be repeated, then the permutation can be calculated as:

\(nPr = \frac{n!}{(n-r)!}\)

But if the selected object can be repeated, then the permutation can be calculated as:

\(nPr = n^{r}\)

where n is the total number of objects and r is the number of objects selected. Therefore, n cannot be less than r (n ≥ r)

In the above problem, we know that the number of letters in the alphabet is 26. To find out how many 5-letter passwords are generated without repeating letters, it can be calculated using the non-repetition permutation formula:

\(nPr = \frac{n!}{(n-r)!}\)

\(= \frac{26!}{(26-5)!}\)

\(= \frac{26 . 25 .24 .23 .22 .21!}{21!}\)

= 7893600 passwords

Meanwhile, the 5-letter password generated by repeating letters can be calculated using the permutation formula:

\(nPr = n^{r} \\= 26^{5}\)

= 11881376 passwords

So the probability of a password without repeating letters can be calculated as follows = 7893600 / 11881376 x 100% = 66.4%

To learn more about permutation, click here: https://brainly.com/question/28065038

#SPJ4

Answer:

2nd one

Step-by-step explanation:

Answer:

179.59

Step-by-step explanation:

.........................

Answer:

$7500

Step-by-step explanation:

Let investment in 5% bond be x

(18000 - x) * 12% - x * 5% = 885

18000*12 - 12x - 5x = 88500

216000 - 88500 = 17x

x = 7500

Answer:

the x-intercept is 32

Step-by-step explanation:

i hope this helps:)

If  (12, -33) is solution of Equation then LHS= RHS.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

We have the points (12, -33).

As, we know that the points are said to be the solution of equation if the LHS part of Equation becomes equal to RHS part of Equation.

For instance we have Equation x+ 2y= 3.

Then we have solution of the Equation then by solving x+2 y we get the value 3.

Learn more about Equation here:

https://brainly.com/question/29657983

#SPJ1

True.

If the equation Ax=0 has a nontrivial solution, then the columns of A are linearly dependent.

If the equation Ax=0 has a nontrivial solution, then the columns of A are linearly dependent. This means that there exist constants c1, c2, ..., cn, not all zero, such that the vector

v = c1*a1 + c2*a2 + ... + cn*an

is the zero vector, where a1, a2, ..., an are the columns of A.

This implies that A has a non-pivot column, since we can write the vector v as a linear combination of the other columns. Therefore, A has fewer than n pivot columns, or equivalently, fewer than n pivot points.

Visit to know more about Linearly dependent:-
brainly.com/question/31389223
#SPJ11