Anyone wanna help me with this? Lol

Answer:

x=5

Step-by-step explanation:

step 1 : exapnding 2(x+4) will give you 2x +8 , the student made an error in expanding

so it should then be 2x+8 = 6x-12

and then if you move the letters to one side and the numbers to the other you will get :

-4x = -20

x=5

hope this works :)

x=5

Step-by-step explanation:

the student added a minus in 2x and 8 when it's suppose to be an addition that is the error

2(x+4)=6(x-2)

2x+8=6x-12

2x-6x=-8-12

-4x=-20

x= -20/-4= 5

x=5

The value of the integral is 2pi.

To interpret the given integral in terms of areas, we need to recognize that the integrand, \(\sqrt(4-x^2),\) represents the upper half of a circle with radius 2 centered at the origin.

First, we can sketch the graph of\(y = \sqrt(4-x^2)\)over the interval [-2, 2]:

      |         /\            |

   2 |       /    \          |

      |      /        \       |

     |     /            \     |

     |_/_____  __\_|

         -2         2

The integral can be evaluated as follows:

\(int_(-2)^2 \sqrt(4-x^2) dx\) = area of upper half of circle with radius 2 and center at (0, 0)

                         = (1/2) * pi *\(r^2\), where r = 2

                         = (1/2) * pi * 4

                         = 2pi

Therefore, the value of the integral is 2pi.

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The number of ways to arrange the letters is 423360.

We have,

COMBINATORICS

There are 13 letters in total, including 5 vowels (O, I, A) and 8 consonants (C, M, B, N, T, R, S).

Now,

Take out the vowels from the word.

We get,

_C_M_B_N_T_R_C_S_

We see that,

There are 7 spaces where we can put the vowels.

And there are 8 consonants.

So,

= \(^7C_5\) / 2! x 8!

We divide the combination by 2! because there are two vowels with repetition.

Now,

= \(^7C_5\) / 2! x 8!

= ((7 x 6)/2 x 2)x 8 x 7 x 6 x 5 x 4 x 3 x 2

= 7 x 3 x 4 x 7 x 6 x 5 x 4 x 3 x 2

= 423360

Thus,

The number of ways to arrange the letters is 423360.

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Answer:

The answer is 18x - 8.

Step-by-step explanation: Trust me, an know a lot about math.

The skip interval should be 40 if the sampling frame has 2000 names and the desired sample size is 50.

Systematic sampling is a type of sampling which uses the probability method where researchers select members of the group or population at a regular interval.

To determine the skip interval, it is necessary to first determine the sample size. Then the skip interval can be determined by dividing the total population by the target/desired sample size. Therefore;

skip interval = population / target sample size

Substituting the given values;

skip interval = 2000 / 50

skip interval = 40

Hence, the skip interval is calculated to be 40 if the frame has 2000 names and the desired sample size is 50.

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Answer: √96

Step-by-step explanation:

In family dice game, if a player rolls five dice at a time, then  7776 outcomes can be possible in one roll.

When a single die is rolled, there are six possible outcomes: 1, 2, 3, 4, 5, or 6.

Since there are five dice being rolled in the family game, the total number of possible outcomes is simply the product of the number of outcomes for each die.

Each of the five dice being rolled has six possible outcomes. Each die is independent of the others, meaning that the outcome of one die does not affect the outcome of the others.

Therefore, to find the total number of possible outcomes for all five dice, we multiply the number of outcomes for each die, which gives

6 x 6 x 6 x 6 x 6 = 7776

So, there are 7776 possible outcomes in one roll of five dice in the family game.

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Answer:

slope = - 5

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 2 ) and (x₂, y₂ ) = (2, - 8 )

m = \(\frac{-8-2}{2-0}\) = \(\frac{-10}{2}\) = - 5

Answer:

mMN + 150 = 180

Step-by-step explanation:

Circle O is shown. Line segment M P is a diameter. Line segment N O is a radius. Angle N O P is 150 degrees.

Given that:

NO is the radius and ∠NOP = 150°.

The angle addition postulate which states that a larger angle is formed when two smaller angles are placed side by side. If two angle x and y are small angles placed side by side, a big angle Z formed is given as:

z = x + y.

Therefore in circle O, using angle addition postulate:

mMN + ∠NOP = mMP

But mMP = 180° (angle on a straight line)

mMN +   ∠NOP = 180°

mMN + 150 = 180

Answer:

the 10 dozen equals 120

the 30 half dozen 180

120+180=300 bagels

300 bagels is your answer

Answer:

As per the question, Peter can finish twice as much work as finished by Tom in a given duration of time. of their one day work will be completed by Tom. So, Tom will take 48 days to complete the task

Step-by-step explanation:

Let Tom alone take 2x days

Peter alone will take x days

Together in 1 day they do 1/x + 1/2x = 1/16

3/2x = 1/16

2x = 48

ANSWER Tom takes 48 days and Peter takes 24 days

CHECK

1/48+1/24 = 3/48= 1/16

Answer:

  x = 20%

Step-by-step explanation:

The area is the product of side lengths. If the original side is "a", then the one increased by 25% is ...

  a + 0.25·a = 1.25a

The one decreased by x is ...

  a -x·a = a(1 -x)

We want the area of the square to be the same as that of the rectangle, so we write an equation that says that, then solve for x.

  square area = rectangle area

  a^2 = (1.25a)(a)(1-x)

  1 = 1.25 -1.25x . . . . divide by a^2, eliminate parentheses

  1.25x = 0.25 . . . . . add 1.25x -1

  x = 0.25/1.25 = 0.20

  x = 20% . . . . . . expressed as a percentage

The difference between the experimental probability of getting three heads and its theoretical probability is 11/40.

To find the difference between the experimental probability and the theoretical probability of getting three heads when tossing three coins simultaneously, we need to calculate both probabilities and subtract them.

The theoretical probability is determined by considering all possible outcomes and their likelihood.

When tossing three coins, there are 2³ = 8 possible outcomes since each coin can land either heads or tails.

Out of these 8 outcomes, only one outcome results in three heads.

The theoretical probability of getting three heads is therefore 1/8.

The experimental probability is determined by conducting the actual experiment and recording the observed outcomes.

The experiment was carried out 100 times, and three heads occurred 40 times.

The experimental probability of getting three heads is therefore 40/100 or 2/5.

To find the difference between the experimental probability and the theoretical probability, we subtract the theoretical probability from the experimental probability:

Experimental probability - Theoretical probability = 2/5 - 1/8

To simplify this fraction, we need to find a common denominator:

2/5 - 1/8 = (16/40) - (5/40)

= 11/40

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Answer:

11

Step-by-step explanation:

Just subtract ST from RT to get RS

13-2=11

A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472. The substance's half-life, in days, is approximately 4.7 days.

The half-life of a substance is the time it takes for half of the substance to decay or undergo a transformation. The half-life can be determined using the formula:

t = (0.693 / k)

where t is the half-life and k is the decay constant.

In this case, we are given that the sample has a k-value of 0.1472. We can use this value to calculate the half-life.

t = (0.693 / 0.1472) ≈ 4.7 days

Therefore, the substance's half-life, rounded to the nearest tenth, is approximately 4.7 days.

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Step-by-step explanation:

I have solve all the questions and your work is to match with that option

Statistics help present data precisely and draw meaningful conclusions. While presenting data, one should be aware of using adequate statistical measures.

Readers are generally interested in knowing the variability within the sample, descriptive data should be precisely summarized with SD. The use of SEM should be limited to computing CI which measures the precision of population estimate. Journals can avoid such errors by requiring authors to adhere to their guidelines.

Studying the entire population is time and resource-intensive and not always feasible; therefore studies are often done on the sample, and data are summarized using descriptive statistics. These findings are further generalized to the larger, unobserved population using inferential statistics.

For example, to understand the cholesterol levels of the population, the cholesterol levels of the study sample, drawn from the same population are measured.

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Answer:

8

Step-by-step explanation:

Answer:

15 weeks

The amount of money is  270

Step-by-step explanation:

You: 60 +14x

Sister: 120+10x

Set them equal to each other

60+14x = 120+10x

Subtract 10x from each side

60+4x= 120

Subtract 60 from each side

4x= 60

Divide by 4

4x/4 = 60/4

x = 15

15 weeks

The amount of money is 120+10*15 = 120+150 = 270

Answer:

15 weeks

$270

Steps:

1: 60+14x=120+10x

2: 4x=60

3: x=15 weeks

4: Amount= 60+14*15= $270

Description:

The first step is to get the money u have that is $60 plus it with the saving u have that is $14 answer will equal as 120+10x  as a equation. Now simplify the equation 4x=60. You will get x=15 that will be the weeks. And now get 60+14 times it by 15 answer will equal as $270. So 15 weeks and $270 is the answer.

Please mark brainliest

Hope this helps.

Answer:

Quarters = 20

Dimes = 14

Step-by-step explanation:

Dime = x = 10 cent = $0.1

Quarter = y = 25 cent = $0.25

x + y = 34 - - - (1)

0.1x + 0.25y = 6.40 - - - - (2)

From (1)

x = 34 - y

0.1(34 - y) + 0.25y = 6.40

3.4 - 0.1y + 0.25y = 6.40

3.4 + 0.15y = 6.40

0.15y = 6.40 - 3.40

0.15y = 3

y = 3 / 0.15

y = 20

x = 34 - y

x = 34 - 20

x = 14

Quarters = 20

Dimes = 14

Answer: x=44.6

Step-by-step explanation: 30²= 900

                                             33²= 1089

                                             900²+1089²=1989²

                                             1089²=44.6

                                             x=44.6

Answer. I think is A

Step-by-step explanation:

Use 1/8*(whatever amount of days until fractions match)

it will take road x 44 days to repair (1/8*44)

road y will take 70 days to repair (1/8*70)

it will take road y 26 days longer to repair

The interval of convergence for the given power series is (2, 8).

To find the interval of convergence for the given power series. We have the power series:

∑(n=2 to ∞) ((x-5)ⁿ)/(3ⁿ)

To find the interval of convergence, we'll use the Ratio Test. For the Ratio Test, we need to compute the limit:

L = lim (n → ∞) |(a_(n+1)/a_n)|

For our series, a_n = ((x-5)ⁿ)/(3ⁿ). Therefore, a_(n+1) = ((x-5)(n+1))/(3(n+1)). Now, let's compute the ratio:

|(a_(n+1)/a_n)| = |(((x-5)(n+1))/(3(n+1))) / (((x-5)ⁿ)/(3ⁿ))|

Simplify the expression:

|(a_(n+1)/a_n)| = |(x-5)/3|

The series converges if L < 1. So we have:

|(x-5)/3| < 1

Now, we'll solve for x to find the interval of convergence:

-1 < (x-5)/3 < 1

Multiply each term by 3:

-3 < x-5 < 3

Add 5 to each term:

2 < x < 8

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we get differential  x₁(t) = c₁e^(-4t) - c₂e^(2t) - c₃e^(2t),x₂(t) = c₁e^(-4t) + c₂e^(2t),x₃(t) = c₁e^(-4t) + c₃e^(2t).To solve the given linear system of differential equations, we first find the eigenvalues and eigenvectors of the coefficient matrix.

The coefficient matrix in this case is

A = [[0, -2, -2], [-2, 0, -2], [-2, -2, 0]].

By solving the characteristic equation det(A - λI) = 0, where λ is the eigenvalue and I is the identity matrix, we can find the eigenvalues. In this case, the eigenvalues are λ₁ = -4, λ₂ = 0, and λ₃ = 4.

Substituting the values of Y and P, we have:

[ x₁ ] [ 1 -1 -1 ] [ y₁ ]

[ x₂ ] = [ 1 1 0 ] * [ y₂ ]

[ x₃ ] [ 1 0 1 ] [ y₃ ]

Multiplying the matrices, we get:

[ x₁ ] [ y₁ - y₂ - y₃ ]

[ x₂ ] = [ y₁ + y₂ ]

[ x₃ ] [ y₁ + y₃ ]

Therefore, the solutions for the original system of differential equations are:

x₁(t) = y₁(t) - y₂(t) - y₃(t)

x₂(t) = y₁(t) + y₂(t)

x₃(t) = y₁(t) + y₃(t)

Substituting the solutions for y₁, y₂, and y₃ derived earlier, we can express the solutions for x₁, x₂, and x₃ in terms of the constants of integration c₁, c₂, and c₃:

x₁(t) = c₁e^(-4t) - c₂e^(2t) - c₃e^(2t)

x₂(t) = c₁e^(-4t) + c₂e^(2t)

x₃(t) = c₁e^(-4t) + c₃e^(2t)

These equations represent the solutions to the original system of differential equations using the techniques of diagonalization and decoupling.

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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:

Algebraic Expression ; 15< k+2

Step-by-step explanation:

Less than = <

Sum =  +

\(15< k+2\)

If you solve the equation the solution is ;

k>13

The algebraic expression for the statement 15 less than the sum of k and 2 is x = k - 13.

A formula known as an equation uses the equals sign to denote the equality of two expressions. 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.

Given:

15 less than the sum of k and 2,

The sum of k and 2 can be written as shown below,

The sum of k and 2 = k + 2,

Assume a number which is x then write the equation as shown below,

x = k + 2 - 15

Simplify the equation,

x = k - 13

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(a) The probability that the modified dental anxiety scale score is higher than 13 is approximately 0.3085. (b) The probability that the score is lower than 10 is approximately 0.4013. (c) The probability that the score is between 15 and 20 is approximately 0.1465. (d) A score of approximately 20.32 will have only 1% exceeding it. (e) A score of approximately 7.64 will have only 20% lower than it.

To solve the given problems, we can utilize the properties of the normal distribution and standardize the scores using z-scores.

(a) Probability that the score is higher than 13:

First, we calculate the z-score:

z = (13 - 11) / 4 = 0.5

Using a standard normal distribution table or a calculator, we find the probability associated with the z-score of 0.5, which is approximately 0.3085. Therefore, the probability that the score is higher than 13 is 0.3085.

(b) Probability that the score is lower than 10:

Similarly, we calculate the z-score:

z = (10 - 11) / 4 = -0.25

Using the standard normal distribution table or a calculator, we find the probability associated with the z-score of -0.25, which is approximately 0.4013. Therefore, the probability that the score is lower than 10 is 0.4013.

(c) Probability that the score is between 15 and 20:

We calculate the z-scores for both values:

z1 = (15 - 11) / 4 = 1

z2 = (20 - 11) / 4 = 2.25

Using the standard normal distribution table or a calculator, we find the probabilities associated with the z-scores of 1 and 2.25. The probability associated with z = 1 is approximately 0.8413, and the probability associated with z = 2.25 is approximately 0.9878. Therefore, the probability that the score is between 15 and 20 is 0.9878 - 0.8413 = 0.1465.

(d) Modified dental anxiety scale score for which only 1% will exceed (higher than)

We need to find the z-score that corresponds to the cumulative probability of 0.99 (1% will exceed). Using the standard normal distribution table or a calculator, we find the z-score associated with a cumulative probability of 0.99, which is approximately 2.33. We can then use the z-score formula to find the corresponding score:

x = (z * standard deviation) + mean

x = (2.33 * 4) + 11

x ≈ 20.32

Therefore, a modified dental anxiety scale score of approximately 20.32 will have only 1% exceeding (higher than) it.

e) Modified dental anxiety scale score for which only 20% will be lower than, We need to find the z-score that corresponds to the cumulative probability of 0.20 (20% will be lower than).

Using the standard normal distribution table or a calculator, we find the z-score associated with a cumulative probability of 0.20, which is approximately -0.84. We can then use the z-score formula to find the corresponding score:

x = (z * standard deviation) + mean

x = (-0.84 * 4) + 11

x ≈ 7.64

Therefore, a modified dental anxiety scale score of approximately 7.64 will have only 20% lower than it.

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