If f(1)=2 and f(n)=f(n−1)+2 then find the value of)f(6).

Answer:

8 ft is correct

Step-by-step explanation:

The probability that less than 15 buyers would prefer red is approximately 0.0007 (rounded to four decimal places).

To calculate the probability that less than 15 buyers would prefer red, we need to use the binomial probability formula:

P(X < 15) = P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 14)

where X is a binomial random variable representing the number of buyers who prefer red, and the probability of each individual outcome is given by:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

where n is the number of trials (number of buyers selected), k is the number of successes (buyers who prefer red), and p is the probability of success (proportion of population preferring red).

In this case, n = 16, k ranges from 0 to 14, and p = 0.6.

Calculating the individual probabilities and summing them up, we have:

P(X < 15) = P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 14)

Using the binomial probability formula, we can calculate each individual probability and sum them up to find the final result.

P(X < 15) ≈ 0.0007

Therefore, the probability that less than 15 buyers would prefer red is approximately 0.0007 (rounded to four decimal places).

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Answer:

the third choice

Step-by-step explanation:

I haven't done those questions in a long time so I would double check. But I think its choice C because 0 has two functions, and I'm pretty sure that a number can only have 1 output, therefore C is not a function..

The value of GK = 18.6, GM = 14.5 AND JZ = 19.9.

From the figure:

MZ is a perpendicular bisector of ∆GHJ.

GM = MJ

GM = 14.5

KZ is a perpendicular bisector of ∆GHJ.

GK = KH

GK = 18.6

Z is the circumcenter of ∆GHJ.

JZ = GZ

JZ = 19.9

Therefore the value of GK = 18.6, GM = 14.5 AND JZ = 19.9.

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This differential equation is of the form:
(x^2 + y^2)dx + (x^2 - xy)dy = 0

We can solve it by first integrating the left-hand side with respect to x. To do this, we need to rearrange the equation and integrate both terms individually. We have:
int (x^2 + y^2)dx = x^3/3 + xy^2 + C_1
int (x^2 - xy)dy = x^2y - frac{1}{2}y^2 + C_2
Therefore, the general solution of the differential equation is:
x^3/3 + xy^2 + C_1 = x^2y - \frac{1}{2}y^2 + C_2
Now we need to verify that the given function C_1(x + y)^2 = xe^{y/x} is a solution of this differential equation. To do this, we first substitute the given function for C_1 in the general solution and rearrange the equation:
x^3/3 + xy^2 + (x + y)^2 = x^2y - \frac{1}{2}y^2 + xe^{y/x}
We can now differentiate both sides of the equation with respect to x and simplify to get:
2x + y^2 + 2xy = 2xy + xe^{y/x}
If we simplify further, we get:
y^2 = xe^{y/x}

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Answer: 2289.06

Step-by-step explanation:

math expert

Answer:

r = 169.56 in. / 2π ≈ 27 in.

Now we can use the radius to find the area:

Area = πr^2 ≈ π(27 in.)^2 ≈ 2289.06 in^2

So the area of the circular table is approximately 2289.06 square inches, rounded to the nearest hundredth. The answer is option C.

Answer:

74

Step-by-step explanation:

PEMDAS is an acronym that refers to the sequence of operations to be employed when solving equations with multiple operations. The value of the given expression (14-30)/2(-4) when simplified is 2.

PEMDAS is an acronym that refers to the sequence of operations to be employed when solving equations with multiple operations. PEMDAS is an acronym that stands for P-Parenthesis, E-Exponents, M-Multiplication, D-Division, A-Addition, and S-Subtraction.

The given expression can be simplified as shown below.

(14 - 30)/ 2 (- 4)

Using the rule of PEMDAS, solving parenthesis first,

= (14-30) / (-8)

= (-16)/ (-8)

Solving the division,

= 2

Hence, The value of the given expression (14-30)/2(-4) when simplified is 2.

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Answer:

The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²vvvThe diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²v

Step-by-step explanation:

its E and A

Answer:

The solutions to the inequality are B, E, and F: 25, 36, and 9.

Step-by-step explanation:

The solutions to the inequality √x < 10 are the values of x that make the inequality true when plugged in. To find these values, we can square both sides of the inequality:

√x < 10

x < 10^2 = 100

So, the values of x that make the inequality true are those that are less than 100. The options that satisfy this condition are:

A. 100 (not a solution)

B. 25 (solution)

C. -100 (not a solution)

D. 105 (not a solution)

E. 36 (solution)

F. 9 (solution)

Answer:

145 inches

Step-by-step explanation:

Area of the circle = 50 inches

Area of the rectangle = 75 inches

Area of the square = 20 inches

Composite area = Area of the circle + Area of the rectangle + Area of the square

= 50 inches + 75 inches + 20 inches

= 145 inches

Composite area = 145 inches

Answer:

I think c

Step-by-step explanation:

plz make me brainliest

Answer:

Step-by-step explanation:

Combine like terms first

break down the equation

make two groups of parentheses

Make those two groups (x+1) and (x-6)

Choose the options that best describe the process

a. The probability that difference in sample proportions is more than 6% is 0.1056.

b. There is a 0.2677 probability that the sample proportion from School A is greater than 5% than that from School B.

a. We must first determine the standard error of variation between the two sample proportions in order to determine the probability that the difference in sample proportions is greater than 6:

SEp1-p2 = sqrt{ [p1(1-p1)/n1] + [p2(1-p2)/n2] }

where,

P1 = 57% of students are from school A.

p2 = 61% of students are from school B.

Sample sizes from schools A and B were 75 and 80, respectively.

SEp1-p2 = sqrt{ [(0.57)(0.43)/75] + [(0.61)(0.39)/80] }

= sqrt{ 0.00233 + 0.00240 }

= 0.0803

Now, we can find the Z-score as:

Z = (p1 - p2 - D) / SEp1-p2

where,

D = 6% = 0.06

Z = (0.57 - 0.61 - 0.06) / 0.0803

= -1.248

Using a standard normal distribution table, we can find the probability that Z < -1.248 is 0.1056.

Therefore, the probability that difference in sample proportions is more than 6% is 0.1056.

b. To find the probability that School A sample proportion is more than 5% higher than School B, we need to find the standard error of the difference between the two sample proportions:

SEp1-p2 = sqrt{ [p1(1-p1)/n1] + [p2(1-p2)/n2] }

where,

57% of the population in p1 is from school A.

61% of those in p2 are from school B.

75 were included in the sample from school A, while 80 were included in the sample from school B.

SEp1-p2 = sqrt{ [(0.57)(0.43)/75] + [(0.61)(0.39)/80] }

= sqrt{ 0.00233 + 0.00240 }

= 0.0803

Now, we can find the Z-score as:

Z = (p1 - p2 - D) / SEp1-p2

where,

D = 5% = 0.05

Z = (0.57 - 0.61 - 0.05) / 0.0803

= -0.621

We can get the probability that Z -0.621 is 0.2677 by using a standard normal distribution table.

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The correct statement that will give the given output is sort(vecPeople.begin(), vecPeople.end(), Greater);. Option C is correct.

This statement sorts the vector vecPeople in ascending order, based on the second element of each pair, using a custom comparison function called Greater. This function compares the second element of two pairs and returns true if the second element of the first pair is greater than the second element of the second pair.

Since the second element of each pair in the vector contains the age of a person, this statement sorts the vector by age, from youngest to oldest.

Option (a) is incorrect because vecPeople is not a valid argument to the sort() function, and vecPeople is not a valid comparison function.

Option (b) is incorrect because the arguments to the sort() function are reversed, and Greater is not a valid argument.

Option (d) is incorrect because the arguments to the sort() function are reversed, and vecPeople is not a valid comparison function.

Therefore, option C is correct.

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Answer:

\(p\leq 56\)

Step-by-step explanation:

Plz mark brainliest!

Answer:

1.  BC = 24

  Perimeter of ABCD = 96

3. PT = 9

   ST = 7

Step-by-step explanation:

Question 1

All the side lengths of a rhombus are equal.

Therefore, BC = AB = 24

So the perimeter of ABCD = 24 × 4 = 96

Question 3

The diagonals of a rhombus bisect each other at right angles.

Bisect means to divide into two equal parts.

Therefore, PT = TR  so  PT = PR ÷ 2

As PR = 18  then  PT = 18 ÷ 2 = 9

QT = ST  so  ST = QS ÷ 2

As QS = 14  then  ST = 14 ÷ 2 = 7

Answer:

x=9

Step-by-step explanation:

13x-32 and 7x+22 are equal to each other (angles) so

13x-32=7x+22

13x-7x=22+32

6x=54

x=54/6

x=9

Answer:

Line m = -2/3x - 1/3

Line n = 3/2x - 5/2

Step-by-step explanation:

Use point slope form: y - y1 = m(x - x1)

The 95% cοnfidence interval fοr the average clοsing cοst is ($5,883.21, $7,316.79).

Tο test the real estate agent's belief abοut the average clοsing cοst οf purchasing a new hοme, we will cοnduct a hypοthesis test. Let's define οur hypοtheses:

Null Hypοthesis (H0): The average clοsing cοst is $6,500.

Alternative Hypοthesis (Ha): The average clοsing cοst is nοt equal tο $6,500.

We will use a significance level οf α = 0.05.

Nοw, let's perfοrm the hypοthesis test:

Step 1: Set up the hypοtheses:

H0: μ = $6,500

Ha: μ ≠ $6,500

Step 2: Chοοse the apprοpriate test statistic.

Since we have a sample mean and want tο cοmpare it tο a knοwn value, we can use a οne-sample t-test.

Step 3: Determine the critical value(s) οr p-value.

Since the alternative hypοthesis is twο-sided, we will use a twο-tailed test. With a significance level οf α = 0.05 and a sample size οf n = 40, the degrees οf freedοm are (n-1) = 39. We can lοοk up the critical t-values in a t-distributiοn table οr use statistical sοftware. The critical t-values at α/2 = 0.025 are apprοximately -2.0227 and 2.0227.

Step 4: Calculate the test statistic.

The test statistic fοr a οne-sample t-test is given by:

t = (sample mean - hypοthesized mean) / (sample standard deviatiοn / sqrt(sample size))

In this case:

Sample mean (x) = $6,600

Hypοthesized mean (μ) = $6,500

Sample standard deviatiοn (s) is nοt prοvided, sο we can't calculate the test statistic withοut it.

Step 5: Determine the decisiοn.

Withοut the sample standard deviatiοn, we cannοt calculate the test statistic and make a decisiοn.

Given that the sample standard deviatiοn is nοt prοvided, we cannοt cοmplete the hypοthesis test. Hοwever, we can calculate the 95% cοnfidence interval tο estimate the true pοpulatiοn mean.

Tο find the 95% cοnfidence interval, we can use the fοrmula:

Cοnfidence interval = sample mean ± (critical value * standard errοr)

where the critical value is οbtained frοm the t-distributiοn table fοr a twο-tailed test at α/2 = 0.025, and the standard errοr is the sample standard deviatiοn divided by the square rοοt οf the sample size.

Let's assume the sample standard deviatiοn is $500 (an arbitrary value) fοr the calculatiοn.

Step 6: Calculate the 95% cοnfidence interval.

Using the assumed sample standard deviatiοn οf $500 and the sample size οf n = 40, the standard errοr is:

Standard errοr = sample standard deviatiοn / sqrt(sample size) = $500 / sqrt(40)

The critical value fοr a 95% cοnfidence interval with (n-1) = 39 degrees οf freedοm is apprοximately 2.0227.

Nοw we can calculate the cοnfidence interval:

Cοnfidence interval = $6,600 ± (2.0227 * ($500 / sqrt(40)))

Calculating the values, we get:

Cοnfidence interval = $6,600 ± $716.79

= ($5,883.21, $7,316.79)

The 95% cοnfidence interval fοr the average clοsing cοst is ($5,883.21, $7,316.79).

Cοmparing the hypοthesis test with the cοnfidence interval, if the hypοthesized mean οf $6,500 falls within the cοnfidence interval, it suggests that the null hypοthesis is plausible.

Hοwever, if the hypοthesized mean is οutside the cοnfidence interval, it prοvides evidence tο reject the null hypοthesis.

In this case, withοut the actual sample standard deviatiοn prοvided, we cannοt cοmpare the hypοthesized mean with the cοnfidence interval.

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Complete question:

A real estate agent believes that the average clοsing cοst οf purchasing a new hοme is $6,500 οver the purchase price. She selects 40 new hοme sales at randοm and finds the average clοsing cοsts are $6,600. Test her belief at α = 0.05. Then find the 95% cοnfidence interval and cοmpare it with the test yοu perfοrmed.

It will take you 30 days to run a total of 12 kilometers.

The popular distance calculator calculates distances in kilometres between any locations and coordinates, providing route planners

To calculate the number of days it will take you to run a total of 12 kilometers, we need to convert kilometers to meters and then divide it by the distance you run each day.

1 kilometer = 1000 meters

So, 12 kilometers is equal to 12 * 1000 = 12000 meters.

Since you run 400 meters each day, we can divide the total distance by the distance you run each day to find the number of days:

12000 meters / 400 meters per day = 30 days

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Answer:

\(x {}^{2} - 5\)

Answer:

-21

Step-by-step explanation:

f(x) = -3 (x + 2)

f(5) = -3 (5 + 2)

f(5) = -3 (7)

f(5) = -21

Answer:

f(5) = -21

Step-by-step explanation:

f(x) = -3( x + 2 )

find f(5)

Substitute the value (5) into the function and solve,

f(5) = -3( (5) + 2 )

= -3 ( 5 + 2 )

= -3 (7)

= -21

The correct answer is B. created in an iterative and incremental manner.

Unlike traditional Work Breakdown Structures (WBS), evolutionary WBSs are developed in an iterative and incremental manner. This means that they are built and refined over time as the project progresses, allowing for adjustments and additions to be made as new information becomes available. The evolutionary WBS is not organized in a standard manner across all projects (A) and it is not specifically designed for comparison to past projects (C). Therefore, the answer is B. created in an iterative and incremental manner.

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Answer:

Step-by-step explanation:

Given the algebraic equation of a line, we are able to graph it in a number of ways. In this section, we will be given a geometric description of a line and be asked to find the algebraic equation. Finding the equation of a line can be accomplished in a number of ways, the first of which makes use of slope-intercept form,  

y

=

m

x

+

b

. If we know the slope, m, and the y-intercept, (0, b), we can construct the equation.

Example 1: Find the equation of a line with slope  

m

=

−

5

8

and y-intercept (0, 1).

Solution: The given y-intercept implies that  

b

=

1

. Substitute the slope m and the y-value of the y-intercept b into the equation  

y

=

m

x

+

b

.

Answer:  

y

=

−

5

8

x

+

1

The answer is A6 = [(3/2)(11+√35)^6 + (3/2)(11-√35)^6 ...] [... (3/10)(11+√35)^6 + (3/10)(11-√35)^6], if A= CDC-1 and using diagonalization to compute A6.

To compute A6, we first need to diagonalize the matrix C. The eigenvalues of C can be found by solving the characteristic equation det(C - λI) = 0:

|1-λ 5|

|2 11-λ| = (1-λ)(11-λ) - 10 = λ^2 - 12λ + 1 = 0

Solving for λ, we get λ = 6 ± √35. The corresponding eigenvectors can be found by solving the system (C - λI)x = 0:

For λ = 6 + √35, we have:

|-5-√35 5| |2 -√35-5| x = 0

Solving this system, we get x1 = [1, (5+√35)/2] and for λ = 6 - √35, we have:

|-5+√35 5| |2 -√35+5| x = 0

Solving this system, we get x2 = [1, (5-√35)/2].

D = [4 0 0 1]

And the inverse of C as follows:

C^-1 = (1/10) [-11+√35 -5 -2 1]

We can now compute A as follows:

A = CDC^-1

A = [1 (5+√35)/2] [4(-11+√35)/10 -4/10

0(11-√35)/10 1/10] [(1/10)(-11+√35) -(5/10)

(-2/10) 1/10]

A = [(-11+√35)/5 (5-√35)/5]

[(-2+√35)/5 (5+√35)/5]

To compute A6, we can diagonalize A as follows:

A = PDP^-1

Where P is the matrix of eigenvectors and D is the diagonal matrix of eigenvalues. The eigenvalues of A are the same as the eigenvalues of C, so we have:

D = [6+√35 0 0 6-√35]

And the eigenvectors can be found by solving the system (A - λI)x = 0:

For λ = 6 + √35, we have:

|-(11+√35) (5-√35)|

|-(2+√35) (5-√35)| x = 0

Solving this system, we get x1 = [(5-√35)/(2+√35), 1] and for λ = 6 - √35, we have:

|-(11-√35) (5+√35)|

|-(2-√35) (5+√35)| x = 0

Solving this system, we get x2 = [(5+√35)/(2-√35), 1].

P = [(5-√35)/(2+√35) (5+√35)/(2-√35) 1 1]

And the inverse of P as follows:

P^-1 = [(5-√35)/(10-2√35) -(5+√35)/(10-2√35) -1/5 1/5]

We can now compute A6 as follows:

A6 = PD6P^-1

A6 = [P 0] [D^6 0] [0 P] [0 D^6] [P^-1 0]

A6 = [(5-√35)/(2+√35) (5+√35)/(2-√35)] [((6+√35)^6) 0 1 ((6-√35)^6)] [(5 √35)/(10-2√35) -(5+√35)/(10-2√35) -1/5 1/5]

A6 = [((6+√35)^6)(5-√35)/(2+√35) + ((6-√35)^6)(5+√35)/(2-√35) ...]

[... ((6+√35)^6)/5 + ((6-√35)^6)/5]

Simplifying this expression, we get :

A6 = [(3/2)(11+√35)^6 + (3/2)(11-√35)^6 ...]

[... (3/10)(11+√35)^6 + (3/10)(11-√35)^6]

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Answer:

y = -9/5x + 9/5

Step-by-step explanation:

From this points, we can determine the slope and the y-intercept.

First, we do:   y/x  -  y1/x1

=> 0/3 - (3 - 2)

=> 0-3/ 3 + 2

=> -3/5

So the slope of the equation is -3/5.

The equation is: y = mx + b

In this equation "m" = slope.

=>  b = constant

Now we take the x and y points from the above numbers.

=> Let's take 3 as x and 0 as y.

=> 0 = -3/5 *3 + b

=> 0 = -9/5 + b

=> Take the -9/5 to the other side

=> 9/5 = b

So, the constant number which is not multiplied by the x is 9/5

Now, our equation looks like:

y = -9/5x + 9/5

If you have any doubts about this question, ask me the comments and I will answer it as soon as possible.

Answer:

first drop down is, doesn't matter. Second one is, must be the negative reciprocal of the slope of the original line. Third is, must be different from the y intercept of the original line. If the y intercepts are the same, the two lines will intersect as proven by one of the questions asked by the user.

Step-by-step explanation:

Hope this helps! :)

Answer:

18

Step-by-step explanation:

You take 30% of 60 to find the number of brown beads.

The minimum price necessary for the firm to earn a profit is $30.

Hence,.option C is correct

The profit of a firm is calculated as the difference between total revenue and total cost. To find the minimum price necessary for a firm to earn a profit, we need to determine the revenue and cost functions first. Then we can find the break-even point and determine the minimum price for the firm to earn a profit.

Total cost function: TC = 50 + 2q²

where

q = quantity produced

We know that the profit equation is:

Total revenue (TR) = price (p) x quantity (q)

Profit (π) = TR - TC

Now we need to determine the revenue function:TR = p × q

We can substitute this into the profit equation to obtain:π = TR - TCπ = p × q - (50 + 2q²)

To find the break-even point, we can set the profit to zero:

0 = p × q - (50 + 2q²)

p × q = 50 + 2q²

We can rearrange this equation to solve for p:p = (50 + 2q²) / q

Let's substitute q = 5:p = (50 + 2(5)²) / 5 = $30

Therefore, the minimum price necessary for the firm to earn a profit is $30. So, the correct option is O c. p-$30.

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Answer:

The team can purchase 60 sweatshirts or 45 jackets.

Step-by-step explanation:

Divide 1440 by 24 to get the total number of sweatshirts the team could buy. Then divide 1440 by 32 to get the total number of jackets they could buy.

Answer:

60 sweat shirt because 24÷1440=60

45 jackets because 32÷1440=45

Hello!

Answer:

22-3= 19

Step-by-step explanation:

Hope this helps!