An expression for the nth term of a sequence is 11-n squared. find the 3rd term of this sequence

Answer:

10

Step-by-step explanation:

Given that we have 96.83% and there is a test of 30 questions that's 15% of the grade. We have to calculate the number of questions that can be missed in order to maintain a 90% in the overall class.The 30 question test is worth 15% of the overall grade.

Convert the percentage to a decimal by dividing by 100.15/100 = 0.15How many points is the 30 question test worth?As the total points are not given, we will assume it to be 100. We will use proportions to solve the problem.

0.15 × total points = 3000.15 × 100 = 15total points = 3000/15total points = 200

The 30 question test is worth 200 points.How many points do you need for an A?An A is a grade of 90% or higher. Convert the percentage to a decimal.

90/100 = 0.9C

0.9 × total points = points needed for an A0.9 × 100 = 90points needed for an A = 90 × 2 = 180

You need 180 points or 90% of the total points to get an A.If you get all the points on the test (that's 200 points), you will have a total of:

96.83% of your class work + 90% of your test work = 96.83% x 85% + 90% x 15% = 88.87%Therefore, you can miss 200 - 180 = 20 questions.

We have given that a student has a 96.83% score in his/her class and there is a test of 30 questions that's 15% of the grade. We have to calculate the number of questions that can be missed in order to maintain a 90% in the overall class.We know that the 30 question test is worth 15% of the overall grade. Hence, we convert the percentage to a decimal by dividing by

100.15/100 = 0.15

This means the 30 question test is worth 0.15 points of the overall grade.As the total points are not given, we will assume it to be 100. Using proportions to solve the problem,

0.15 × total points = 3000.15 × 100 = 15

otal points = 3000/15total points = 200

The 30 question test is worth 200 points.Converting an A grade to a percentage grade, an A is a grade of 90% or higher. Hence, we convert the percentage to a decimal.

90/100 = 0.9

To get an A, a student needs 90% of the total points, which is 0.9 × total points = points needed for an

A0.9 × 100 = 90

A = 90 × 2 = 180

The student needs 180 points or 90% of the total points to get an A.Now, we can calculate the total score that the student will have if they get all the points on the test (that's 200 points), and that will be the sum of his/her class work and test work scores, which is given by:

96.83% of your class work + 90% of your test work = 96.83% x 85% + 90% x 15% = 88.87%

Therefore, the number of questions that can be missed to maintain a 90% overall class grade would be:

200 - 180 = 20 questions.

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Answer:

Step-by-step explanation:

Given: 3x + 1 = x + 7

Firstly, 3x - x = 7 - 1

Then, 2x = 6

x = 6/2

x = 3

The Value of x is 3

Answer:

24 girls are wearing a bracelet

Step-by-step explanation:

2/5=0.4

60*0.4=24

Answer:

m pq = 103°

Solving steps:

Hey there!

According to the figure,

\(r = s \: \: \: \: \: \: \overline{pq} = 9\)

So, \(m\overline{pq} = \frac{180 \times \overline{pq} }{x \times r} = \frac{180 \times 9}{x \times 5} \)

\( = 103°\)

\(Hence, m \: \overline{pq} = 103°\)

Raymond would be charged a prepayment fee of $10,304.83 for paying off the loan 5 years early. This fee is calculated by taking 80% of the remaining balance, multiplying it by the monthly interest rate, and then multiplying that by the number of months of interest (6 months).

1. Calculate the Monthly Payment:

135,000 x (3.6%/12) / (1 - (1+3.6%/12)^-300) = 667.08

2. Calculate the Number of Payments Made:

300 payments - (25 x 12) = 120 payments

3. Calculate the Remaining Balance:

135,000 x (1+3.6%/12)^-120 = 85,873.96

4. Calculate the Prepayment Fee:

80% x 85,873.96 x (3.6%/12) x 6 = 10,304.83

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Answer:

3.142 and 22/7

Step-by-step explanation:

thats its

For square a of perimeter 24 cm and square b has an area equal to one-fourth the area of the square a, the perimeter of square b is 12 cm.

Given that a square has a perimeter of 24 cm. And another square b has an area equal to one-fourth of the area of square a. To find the perimeter of square b, we need to find the length of the side of square b using the area of square

Area of the square a = side² of the square a
The perimeter of the square a = 4 × side of the square a

Given that, Perimeter of square a = 24 cm⇒ 4 × side of square a = 24 cm⇒ side of square a = 24 / 4 cm⇒ side of square a = 6 cm.

Area of square b = 1/4 × Area of square a = 1/4 × side² of square a= 1/4 × 6² cm²= 9 cm²

Side of square b = √9 cm = 3 cm
Perimeter of square b = 4 × 3 cm = 12 cm

Therefore, the perimeter of square b is 12 cm.

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Answer:

18.4%

Step-by-step explanation:

Blue = 14

Purple = 16

Yellow = 11

Green = 21

Orange = 14

Total number of Skittles = 14 + 16 + 11 + 21 + 14

= 76

What percentage of the Skittles are blue?

Percentage of blue Skittles = 14/76 × 100

= 0.1842105263157 × 100

= 18.42%

Approximately 18.4%

Therefore, the standard deviation for the number of people with the genetic mutation in groups of 500 is approximately 6.726.

To find the standard deviation for the number of people with the genetic mutation in groups of 500, we can use the binomial distribution formula.

Given:

Probability of having the genetic mutation (p) = 0.09

Sample size (n) = 500

The standard deviation (σ) of a binomial distribution is calculated using the formula:

σ = √(n * p * (1 - p))

Substituting the given values:

σ = √(500 * 0.09 * (1 - 0.09))

Calculating the standard deviation:

σ ≈ 6.726 (rounded to three decimal places)

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Answer:20

Step-by-step explanation:

I done 8+8+4=20 because 8 was 40% so I added another 8 that made a 80% so then I cut the 8 and half because all I needed was

20% then which would be half of 40% and I ended up with 20 and that equally gave me a hundred percent

Answer:

The diagonals bisect each other

Step-by-step explanation:

2s = 10    s+5 = 10      FJ = JH

t+12 = 18   3t = 18    EJ = JG

Answer:

Volume = Length × Width × Height

Volume = 10 × 3 × 2

Volume = 60 cm

Answer:

\(\sf Area = 10\dfrac{7}{8} \yd^2\)

Step-by-step explanation:

     Area = length *breadth

Convert the mixed fraction to improper fraction.

\(\sf 1\dfrac{1}{2}=\dfrac{3}{2} \ yd\)

\(\sf area = \dfrac{3}{2}*\dfrac{58}{8}\\\\\)

      \(\sf = \dfrac{3*29}{8}\\\\=\dfrac{87}{8}\\\\= 10\dfrac{7}{8} \ yd^2\)

Answer:

264.575131

Step-by-step explanation:

PLEASE MARK BRAINLIEST

Answer:

264.5751311

Step-by-step explanation:

The square root of 7 is 2.645751311

Move the decimal point two to the right to get your answer:

264.5751311

I Hope That This Helps! :)

Maybe one reason people who work in the pentagon never seem to agree on anything is that there are five sides to every story

Answer:

  (4, -7)

Step-by-step explanation:

The midpoint formula is used for this.

  M = (A +B)/2

  M = ((2, -4) +(6, -10))/2 = (2+6, -4-10)/2 = (8, -14)/2

  M = (4, -7)

The midpoint is (4, -7).

The critical value for an F-test at α = 2.5% significance with one independent variable and 27 observations is approximately 5.7033. It represents the threshold beyond which we reject the null hypothesis in favor of the alternative hypothesis.

To determine the critical value for an F-test at α = 2.5% significance, we need to know the degrees of freedom associated with the numerator and denominator of the F-statistic.

For an F-test, the numerator degrees of freedom (df1) correspond to the number of groups or treatment conditions minus 1. In this case, since there is only one independent variable, the number of groups is 2 (assuming a standard F-test), so df1 = 2 - 1 = 1.

The denominator degrees of freedom (df2) correspond to the total number of observations minus the number of groups. In this case, we have n = 27 observations and 2 groups, so df2 = 27 - 2 = 25.

Now we can use these degrees of freedom values and the significance level (α) to find the critical value using an F-table or calculator.

Using statistical software or an online calculator, the critical value for an F-test with df1 = 1 and df2 = 25 at α = 2.5% significance is approximately 5.7033 (rounded to four decimal places).

Therefore, the critical value for the F-test at α = 2.5% significance is 5.7033.

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Answer: D<1

Step-by-step explanation:

Move all terms not containing D to the right side of the inequality.

Inequality Form:

D<1

Answer:

5 in by 8 in

Step-by-step explanation:

Given that :

Area, A of rectangle = 40 in²

Let

height = x

Base = 2x - 2

Area of rectangle = L * B

40 = x * (2x - 2)

40 = 2x² - 2x

2x² - 2x - 40 = 0

x² - x - 20 = 0

x² - 5x + 4x - 20 =0

x(x - 5) +4(x - 5) = 0

x - 5 = 0 or

x + 4 = 0

x = 5 or x = - 4

X cannot be negative

X = 5

Height = 5

Base = 2*5 - 2 = 8

The F-test statistic for the given data is 2.09. At a significance level of 0.05, the mean rates of return for the three industries are not significantly different.

To perform the F-test to compare the means of three populations, we need to calculate the sum of squares between groups (SSB), sum of squares within groups (SSW), and the degrees of freedom for each. Then, we can use these values to calculate the F-test statistic and compare it to the critical value of the F-distribution with degrees of freedom (dfB = k - 1) and (dfW = N - k), where k is the number of groups and N is the total sample size.

Using technology, we can calculate the SSB, SSW, and degrees of freedom, as shown below:

SSB = [(n1)(X1 - X)^2 + (n2)(X2 - X)^2 + (n3)(X3 - X)^2]/(k - 1)

= [(8)(11.19 - 11.03)^2 + (8)(12.85 - 11.03)^2 + (8)(9.86 - 11.03)^2]/(3 - 1)

= 12.93

SSW = [(n1 - 1)s1^2 + (n2 - 1)s2^2 + (n3 - 1)s3^2]/(N - k)

= [(7)(4.28^2) + (7)(5.23^2) + (7)(5.31^2)]/(24 - 3)

= 20.91

dfB = k - 1 = 2

dfW = N - k = 21

where X is the overall mean, X1, X2, and X3 are the sample means, n1, n2, and n3 are the sample sizes, s1, s2, and s3 are the sample standard deviations, and k is the number of groups.

Using these values, we can calculate the F-test statistic:

Fo = SSB/dfB / SSW/dfW

= 12.93/2 / 20.91/21

= 6.19

Using a significance level of 0.05, and with dfB = 2 and dfW = 21, the critical value of the F-distribution is 3.14 (found using a calculator or a table).

Since Fo = 6.19 is greater than the critical value of 3.14, we reject the null hypothesis and conclude that the mean rates of return are different at the 0.05 level of significance.

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_____The given question is incomplete, the complete question is given below:

Use technology to find the F-test statistic for this data set. Fo=(Round to two decimal places as needed.) accompanying table e. - Х X Rates of Return the means and Hya and H, H Financial 10.73 15.05 17.21 5.07 19.50 8.16 10.45 6.52 Energy 12.89 13.91 6.43 11.23 18.79 20.73 9.60 17.40 the samp Utilities 11.88 5.86 13.46 9.90 3.95 3.44 7.11 15.70 Are the mean rates of return different at the a = 0.05 level of significance?

Answer:

54,436.004 and 247,892.984

Step-by-step explanation:

Answer:

third and fourth

Step-by-step explanation:

The length of the missing ,line segments show in the image are AC = CD =  10√2  and AB = BC = 10  .

In the question ,

a figure is given , we have to find the length of the missing line segments .

From the given figure

the Δ ACD is a right triangle ,

given that ∠A and ∠D are equal

so ,  their corresponding length AC and CD will be equal , that is AC = CD

So , By Pythagoras Theorem

AC² + CD² = AD²

2*AC² = AD²

2*AC² = (20)²

2*AC² = 400

AC² = 400/2 = 200

AC = √200

AC = CD = 10√2

The triangle ABC is also right triangle

and ∠A and ∠C are equal

so , their corresponding length AB and BC will be equal , that is AB = BC

So , By Pythagoras Theorem

AB + BC = AC

2*AB² = AC²

2*AB² = (10√2)²

2*AB² = 200

AB² = 200/2 = 100

AB = √100

AB = 10 = BC

Therefore , The length of the missing line segments show in the image are AC = CD =  10√2  and AB = BC = 10  .

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Hello!

surface area

= 2(6*2) + 2(4*2) + 4*6

= 2*12 + 2*8 + 24

= 24 + 16 + 24

= 64 square inches

The best representation of the population is; C. Ask 100 parents at the local playground

In statistics, a population is the entire group that you want to draw conclusions about. Whereas, a sample is the specific group that you will collect data from.

Now, the family committee want to select a movie that will appeal to families with young children. Thus, it will be best for them to ask the parents of children as that will be a true representation of what the families would like to watch.

In conclusion, the only correct option is option C to ask 100 parents at the local playground

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The magnitude of the net electrostatic force on the 5.0−nC charge due to the other charges when the charge Q1 = 6.0 nC is at (0.30 m, 0), charge Q2 = −1.0 nC is at (0, 0.10 m), and charge Q3 = 5.0 nC is at (0, 0) is 6.21 N.

The value of the net electrostatic force on the 5.0-nC

charge due to the other charges when the charge Q1 = 6.0 nC is at (0.30 m, 0),

charge Q2 = −1.0 nC is at (0, 0.10 m), and

charge Q3 = 5.0 nC is at (0, 0) can be calculated as follows:

Given data,Charge Q1 = 6.0 nC is at (0.30 m, 0),

Charge Q2 = -1.0 nC is at (0, 0.10 m),

Charge Q3 = 5.0 nC is at (0, 0)

The formula to find out the force on the third charge Q3 is:

                      F = k * |Q1 * Q3| / r1^2 + k * |Q2 * Q3| / r2^2

Here, k = 8.99 × 10^9 N·m^2/C^2, Q1 = 6.0 nC, Q2 = -1.0 nC, Q3 = 5.0 nC

For the third charge Q3, the distance from Q1 is:

                                r1 = √(0.3^2 + 0^2) = 0.3 m

And the distance from Q2 is: r2 = √(0^2 + 0.1^2) = 0.1 m

Substituting all the given values in the formula:

                               F = 8.99 × 10^9 * [ (6.0 × 10^-9 * 5.0 × 10^-9) / 0.3^2 ] + 8.99 × 10^9 * [ (-1.0 × 10^-9 * 5.0 × 10^-9) / 0.1^2 ]F = 6.21 N

Therefore, the magnitude of the net electrostatic force on the 5.0−nC charge due to the other charges when the charge Q1 = 6.0 nC is at (0.30 m, 0), charge Q2 = −1.0 nC is at (0, 0.10 m), and charge Q3 = 5.0 nC is at (0, 0) is 6.21 N.

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Answer:

Dennis paid $82 and Connie paid $46.

Step-by-step explanation:

We can set up an equation by putting in variables, c representing how much Connie paid. Since we know that Dennis paid $36 more, we will also factor that in the equation.

c + c + 36 = 128

Where c + 36 represents the amount Dennis paid, and 128 represents the total amount paid as given in the question. We can start by adding like terms. 2c + 36 = 128

Now, we can subtract 36 from each side,

2c + 36 - 36 = 128 - 36

2c = 92

Divide each side by two,

2c/2 = 92/2

c = 46

Now, to make sure this is correct, let's substitute our c for 46 in our equation:

46 + 46 + 36 = 128

92 + 36 = 128

128 = 128

Therefore, our equation is correct, and Dennis paid $82 while Connie paid $46.

Answer:

3. ∠A = 110°

4. ∠H = 70°

5. ∠D = 70°

6. ∠F = 70°

Step-by-step explanation:

In a parallelogram, adjacent angles are supplementary (sum to 180°).

⇒ ∠A + ∠B = 180°

⇒ ∠A + 70° = 180°

⇒ ∠A = 110°

In a parallelogram, opposite angles are congruent.

⇒ ∠C = ∠A = 110°

⇒ ∠D = ∠B = 70°

If two parallelograms are similar, their corresponding interior angles are congruent.

⇒ ∠A = ∠E = 110°

⇒ ∠B = ∠F = 70°

⇒ ∠C = ∠G = 110°

⇒ ∠D = ∠H = 70°