Reduce to simplest form
3/2 + ( -6/5 ) = ?

The 80% confidence interval estimate of the population mean rating for DFW airport can be calculated using the formula:

Margin of error = (Z-score)*(standard deviation/sqrt(sample size))

where the Z-score for 80% confidence level is 1.28.

So, the margin of error = (1.28)*(0.55/sqrt(25)) = 0.28.

Therefore, the confidence interval estimate can be calculated by subtracting and adding the margin of error to the sample mean:

Confidence interval = sample mean ± margin of error
Confidence interval = 3.84 ± 0.28
Confidence interval = (3.56, 4.12)

The question requires us to find an 80% confidence interval estimate for the population mean rating of DFW airport using a sample of 25 travelers. The formula for the margin of error is used to calculate the range of values within which the population mean is likely to fall. The Z-score for the 80% confidence level is used in the formula. We then use this margin of error to calculate the confidence interval estimate by adding and subtracting it from the sample mean. This gives us a range of values within which we can be confident that the population mean rating falls.

The 80% confidence interval estimate for the population mean rating of DFW airport is (3.56, 4.12). This means that we can be 80% confident that the population mean rating falls within this range of values. The sample mean of 3.84 is the best estimate of the population mean rating, and the margin of error of 0.28 indicates the level of uncertainty in this estimate.

To know more about mean visit:

https://brainly.com/question/31101410

#SPJ11

a) The future value of the ordinary annuity is $19,144.99.

b) The future value of the ordinary annuity is $48,956.03.

c) The present value of the ordinary annuity is $13,384.15.

d) Robin will have $488,215.78 in the account after 30 years.

a) To find the future value of the ordinary annuity for the first scenario, we use the formula:

FV = P * [(1 + r/n)^(n*t) - 1] / (r/n)

Where:

FV = Future Value

P = Payment per period

r = Annual interest rate

n = Number of compounding periods per year

t = Number of years

Plugging in the given values: P = $1100, r = 0.08 (8%/year), n = 2 (semiannual compounding), t = 9 years, we calculate FV = $19,144.99.

b) For the second scenario, we use the same formula:

FV = P * [(1 + r/n)^(n*t) - 1] / (r/n)

Plugging in the given values: P = $110, r = 0.13 (13%/year), n = 12 (monthly compounding), t = 17 years, we calculate FV = $48,956.03.

c) To find the present value of the ordinary annuity, we use the formula:

PV = P * [1 - (1 + r/n)^(-n*t)] / (r/n)

Plugging in the given values: P = $3400, r = 0.12 (12%/year), n = 2 (semiannual compounding), t = 7 years, we calculate PV = $13,384.15.

d) For the final scenario, to find the future value of Robin's Keogh account, we can use the compound interest formula:

FV = P * (1 + r)^t

Plugging in the given values: P = $4500, r = 0.085 (8.5%/year), t = 30 years, we calculate FV = $488,215.78.

Therefore, after 30 years, Robin will have approximately $488,215.78 in his Keogh account.

Visit here to learn more about compound interest:

brainly.com/question/14295570

#SPJ11

Answer:

6m

Step-by-step explanation:

Set up a proportion:

x/1.5=10/2.5

Cross multiply:

15/2.5=2.5x/2.5

x=6

The palm tree is 6m tall.

Hope this helps!

Answer:

f(x) = -1/2x² + 3/2x - 2

f(0) = (-1/2 × 0²) + (3/2 × 0) - 2

f(0) = 0 + 0 - 2

f(0) = -2

THANK YOU!!( ◜‿◝ )♡

Answer:

25.9 feet

Step-by-step explanation:

If you split a rectangle into 2 pieces with a diagonal, each piece will be a right triangle

Therefore we can use the pythagorean theorem to solve this problem

The two legs of the right triangle will be 23 and 12

The formula is a^2 +b^2=c^2

c^2 is the diagonal squared ( the hypotenuse)

So:

12^2+23^2=c^2

144+529=c^2

673=c^2

To find just c we need to find the square root of 673, rounded to the nearest tenth

(the equation is rounded)

So the diagonal is 25.9

Answer:

88 is the answer to the question

Answer:

\(\huge\boxed{\sf x = -100}\)

Step-by-step explanation:

\(\displaystyle -\frac{x}{5} -8=12\\\\Add \ 8 \ to \ both \ sides\\\\-\frac{x}{5} = 12+ 8\\\\-\frac{x}{5} = 20\\\\Multiply \ both\ sides \ by \ 5\\\\-x = 20 \times 5\\\\-x = 100\\\\Multiply\ both \ sides \ by\ -1\\\\x = -100\\\\\rule[225]{225}{2}\)

Answer:1) An operator is missing in your statement. Most likely the right expression is:

Step-by-step explanation:

              2x

f(x) = -------------

          3x^2 - 3

So, I will work with it and find the result of each one of the statements given to determine their validiy.

2) Statement 1: The graph approaches 0 as x approaches infinity.

Find the limit of the function as x approaches infinity:

                                   2x

Limit when x →∞ of ------------

                                3x^2 - 3

Start by dividing numerator and denominator by x^2 =>

     2x / x^2                         2/x

--------------------------- = ---------------

 3x^2 / x^2 - 3 / x^2       3 - 3/x^2

                                     2/∞             0          0

Replace x with ∞ =>  ------------ =  ------- =  ---- = 0

                                   3 - 3/∞        3 - 0      3

Therefore the statement is TRUE.

3) Statement 2: The graph approaches 0 as x approaches negative infinity.

Find the limit of the function as x approaches negative infinity:

                                       2x

Limit when x → - ∞ of ------------

                                    3x^2 - 3

Start by dividing numerator and denominator by x^2 =>

     2x / x^2                         2/x

--------------------------- = ---------------

 3x^2 / x^2 - 3 / x^2       3 - 3/x^2

                                       2/(-∞)           0            0

Replace x with - ∞ =>  ------------ =  ---------- =  ---- = 0

                                     3 - 3/(-∞)      3 - 0        3

Therefore, the statement is TRUE.

4) Statement 3: The graph approaches 2/3 as x approaches infinity.

FALSE, as we already found that the graph approaches 0 when x approaches infinity.

5) Statement 4: The graph approaches –1 as x approaches negative infinity.

FALSE, as we already found the graph approaches 0 when x approaches negative infinity.

Answer:

n=4

Step-by-step explanation:

Let's get rid of the parenthesis first. We're left with -170=-56n+49+5. Let's move all of the numbers together so that the variable is separated from the numbers. Now we have 56n=224 using inverse operations. If we divide both sides by 56, we're left with n=4.

Hope this helped!

Answer:

n = 4

Step-by-step explanation:

-170=-7(8n-7) +5

-170=-56n+49+5

-170=-56n+54

-170+56n=54

56n=170+54

56n= 224

n=4

The simplified form of the product of given mixed fraction that is  (−2 8/11)⋅(−3 1/3) will be 100/11

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

WE need to solve the given mixed fraction \(-2\dfrac{8}{11} \times -3\dfrac{1}{3}\)

First we need to convert the mixed fraction into simple fraction;

\(-2\dfrac{8}{11} \times -3\dfrac{1}{3}\)

\(-2\dfrac{8}{11} = \dfrac{- 30}{11} \\\\\\-3\dfrac{1}{3} = \dfrac{-10}{3}\)

Now multiply the given fraction;

\(\dfrac{- 30}{11} \times \dfrac{-10}{3}\)

100/ 11

Hence, the simplified form of the product of given mixed fraction that is  (−2 8/11)⋅(−3 1/3) will be 100/11

Learn more about multiplications;

https://brainly.com/question/14059007

#SPJ2

Answer:

x= (-13)

Step-by-step explanation:

You need to get x alone so you have to divide by 3 and -39/3 equals -13

Answer:

x = -13

Step-by-step explanation:

Divide both numbers by 3

3÷3 cancels each other out, leaving x

-39÷3= -13

The BMI of an 118-lb adult who is 5 feet 4 inches tall is approximately 20.25.

BMI stands for Body Mass Index.

It's a measure of body fat based on height and weight that applies to both adult men and women.

BMI is an easy-to-perform screening tool for body fat levels that can help identify individuals who have health risks linked with excess body fatness.

It's important to keep in mind that the BMI measurement should not be used as a diagnostic tool for health conditions and is only one component in an overall evaluation of a person's health status.

Using the formula below, we can calculate the BMI of an 118-lb adult who is 5 feet 4 inches tall: BMI = (weight in pounds / (height in inches x height in inches)) x 703

First, we need to convert the height into inches:5 feet 4 inches = 64 inches

Next, we plug the values into the formula and solve for the BMI:

BMI = (118 / (64 x 64)) x 703BMI = (118 / 4,096) x 703BMI = 0.0288 x 703BMI = 20.2464

Therefore, the BMI of an 118-lb adult who is 5 feet 4 inches tall is approximately 20.25.

For more questions on Body Mass Index

https://brainly.com/question/15468401

#SPJ8

The probability that cars that had both air conditioning and power windows is given by P ( A ∩ B ) = 22 %

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability that cars that had both air conditioning and power windows is P ( A ∩ B )

Let the probability that the new cars sold in the US had air conditioning be P ( A ) = 83 %

Let the probability that the new cars sold in the US had power windows be P ( B ) = 39 %

Now , the total cars sold = 100 %

And , P ( A ∪ B ) = 1 = P ( A ) + P ( B ) - P ( A ∩ B )

On simplifying , we get

P ( A ∩ B ) = 83 % + 39 % - 1

P ( A ∩ B ) = 0.83 + 0.39 - 1

P ( A ∩ B ) = 0.22

Hence , the probability is 22 %

To learn more about probability click :

https://brainly.com/question/17089724

#SPJ1

Answer:

y = 7x - 4

Step-by-step explanation:

To solve the equation of this line ( in point - slope form ) we would have to first identify the slope. If we are given the points ( 0, - 4 ) and ( 1, 3 ) then through the change in y / change in x, we can calculate the value of this slope. Take a look at the steps below;

\(( 0, - 4 ), ( 1, 3 )\\\\Slope = y2 - y1 / x2 - x1,\\\\Slope = - 4 - 3 / 0 - 1,\\Slope = - 7 / - 1\\Slope = 7 / 1\\\\Slope = 7\)

Now that we have the slope of this line, we have assume part of the equation of this line ( that passes through the points ( 0, - 4 ) and ( 1, 3 ) );

\(y = mx + b -\\m = slope, b = y - intercept\)

Plug in the value of slope for " m " in y = mx + b, and determine the y - intercept by plugging in x as 0 and y as - 4, given the point ( 0, - 4 );

\(- 4 = 7 * ( 0 ) + b,\\- 4 = 0 + b,\\b = - 4\)

From this information, we can say that the equation of this line is y = 7x - 4;

Solution, y = 7x - 4

Answer:

The answer is 2. It is the commutative property of addition. This states that the order of numbers does not matter in addition or multiplication. As long as all the numbers are there, it will give the same answer :)

Step-by-step explanation:

The Hamiltonian Federalists, Wilsonian Democrats, and New Dealers all advocated for a significant government role in the American economy.

Hamiltonian Federalists aimed for a strong central government that would promote economic development, Wilsonian Democrats sought progressive reforms and economic regulation, while New Dealers aimed for government intervention and social welfare programs.

Hamiltonian Federalists, led by Alexander Hamilton, believed in a strong central government with the power to shape and promote economic development. They advocated for policies such as a national bank, protective tariffs, and infrastructure development to stimulate industry and trade. Wilsonian Democrats, influenced by President Woodrow Wilson, aimed for progressive price and economic regulation.

Lean more about price here:

https://brainly.com/question/19091385

#SPJ11

a) The amount of goodwill reported in the consolidated financial statements prepared immediately after the combination is  $15,000

b) The amount of differential would Paris amortize during 20X6 in its equity method journal entries $13,200

The quantity of money anyone has is termed as the amount. The solution to the question is given as follows:-

a. Fair Value of Consideration $180,000

Non-Controlling Interest $120,000

The differential in value of Sanlo $45,000

Good will = $15,000

b. Value of Equipment = $10,000 / 5 = $2,000

$2,000  x  60% = $1,200

Value of land = $15,000 * 60% = $9,000

Value of Sanlo's Inventory = $5,000 * 60% = $3,000

The total value amortize using the equity method is $13,200

To know more about the amount follow

https://brainly.com/question/25109150

#SPJ4

Answer:

V≈743.25

Step-by-step explanation:

V=5

12tan(54°)ha2=5

12·tan(54°)·4·182≈743.24624

The solution to the equation is a = 6 and a = 4.

There is no extraneous solution.

To find the solution for the given equation, follow these steps:
1. Rewrite the equation: \(15 + a^2 - 1 = 5(2a - 2)\).
2. Simplify both sides: \(a^2 + 14 = 10a - 10.\)
3. Move all terms to one side:\(a^2 - 10a + 24 = 0.\)
4. Factor the quadratic equation: (a - 6)(a - 4) = 0.
5. Set each factor equal to zero: a - 6 = 0 or a - 4 = 0.
6. Solve for 'a': a = 6 or a = 4.
Now, we need to check if both solutions are valid or if there is an extraneous solution.
Since there are no restrictions on the domain of the original equation, both solutions are valid.

For similar question on extraneous.

https://brainly.com/question/30092430

#SPJ11

Answer:

1. 4 and 3/5

2. 3 and 1/6

Step-by-step explanation:

thats about it

Answer:

1. 4 3/5 or 4.6   2.  3 1/6

Step-by-step explanation:

The coefficient of zº in the expansion of (w - 1) can be determined using the binomial theorem. The coefficient b of zº in the expansion of (w - 1) is equal to -1.

To find the coefficient of zº in the expansion of (w - 1), we can use the binomial theorem, which provides a formula for expanding powers of binomials. The binomial theorem states that for any real numbers a and b, and a non-negative integer n, the expansion of (a + b)ⁿ can be written as the sum of (n+1) terms. Each term in the expansion follows the pattern of choosing an exponent for a, multiplying it with b raised to the complementary exponent, and then multiplying it by a binomial coefficient. In this case, we have (w - 1) as our binomial, and we are interested in the term where zº, which means we are looking for the coefficient of zº. Since there is no z term in (w - 1), the only way to obtain zº is by choosing the constant term, which is -1. Therefore, the coefficient b of zº in the expansion of (w - 1) is -1.

Learn more about binomial theorem here: brainly.com/question/30095070

#SPJ11

The dress is currently selling for $144 after applying a 10% markdown, followed by a 20% discount and an additional 5% off.

To calculate the final price of the dress, we need to apply the discounts sequentially.

First, a 10% markdown is applied to the original price of $200. A 10% markdown means the dress is reduced by 10% of its original price. So, the markdown amount is $200 * 0.10 = $20. The discounted price after the first markdown is $200 - $20 = $180.

Next, a 20% discount is applied to the discounted price of $180. Similar to the previous step, a 20% discount means reducing the price by 20% of the discounted price. The discount amount is $180 * 0.20 = $36. The price after the second discount is $180 - $36 = $144.

Finally, an additional 5% off is applied to the price of $144. The additional discount amount is $144 * 0.05 = $7.20. Subtracting this amount from $144 gives us the final selling price of $144 - $7.20 = $136.80.

Therefore, the dress is currently selling for $136.80 after applying a 10% markdown, followed by a 20% discount, and an additional 5% off.

Learn more about selling here:

https://brainly.com/question/30810410

#SPJ11

The median would best compare the centers of the data

from

Class 1 and class 2

In class 1, we have no outliers

So, we use the mean as the centers of the data

In class 2, we have outliers

So, we use the median as the centers of the data

Since we are using median in one of the classes, then we use median in both classes

Hence. the median would best compare the centers of the data

Read more about outliers at

https://brainly.com/question/27893355

#SPJ1

Answer:

Kevin

Step-by-step explanation:

The square is black

The problem can be modeled as a linear programming problem. We need to minimize the total cost of shipping the boots, which can be represented as a linear combination of the shipment quantities.

Thus, the objective function to be minimized can be written as:

Minimize Z = 4x11 + 5x12 + 7x13 + 6

32 + y33 ≤ 40 (capacity limit at warehouse 3)

y41 + y42 + y43 ≤ 30 (capacity limit at warehouse 4)

y51 + y52 + y53 ≤ 45 (capacity limit at warehouse 5)

xij, yjk ≥ 0 (non-negativity constraint)

Thus, the complete linear programming problem can be formulated as:

Minimize Z = 4x11 + 5x12 + 7x13 + 6x21 + 4x22 + 5x23 + 4y11 + 3y12 + 6y13 + 5y21 + 5y22 + 4y23 + 6y31 + 7y32 + 5y33 + 4y41 + 6y42 + 5y43 + 5y51 + 4y52 + 6y53

Subject to:

x11 + x12 + x13 ≤ 60

x21 + x22 + x23 ≤ 90

x11 + x21 = y11 + y21 + y31 + y41 + y51

x12 + x22 = y12 + y22 + y32 + y42 + y52

x13 + x23 = y13 + y23 + y33 + y43 + y53

y11 + y12 + y13 ≤ 35

y21 + y22 + y23 ≤ 50

y31 + y32 + y33 ≤ 40

y41 + y42 + y43 ≤ 30

y51 + y52 + y53 ≤ 45

xij, yjk ≥ 0

Solving this linear programming problem using a suitable solver will provide us with the optimal values of xij and yjk, which will help us in determining the minimum cost required for shipping the boots while satisfying all the constraints.

To know more about linear programming problem:

https://brainly.com/question/30074109

#SPJ4

Answer:

It will take 4 years

Step-by-step explanation:

The formula of the simple interest is I = Prt, where

∵ The investment is $40000

∴ P = 40000

∵ The simple interest is $8000

∴ I = 8000

∵ The rate of interest is 5%

∴ r = 5%

→ Change it to decimal by divide it by 100

∴ r = 5 ÷ 100 = 0.05

→ Substitute them in the formula above

∵ 8000 = 40000 × 0.05 × t

∴ 8000 = 2000t

→ Divide both sides by 2000

∴ 4 = t

∵ t is the time of investment

∴ It will take 4 years