let r be the relation on the set of ordered pairs of positive integers such that ((a, b), (c, d)) ∈ r if and only if ad

The height of the balloon is 21.33

According the the question the relation between height and surface area of balloon is

H=pA

where ,

H is height

p is proportionality constant

A is surface area

Surface area = 81

Height = 12

By Replacing the given values we get,

12=p x 81

p=12/81

Using it in given conditions,

H=(12/81)x144

H=21.33

So the height of the balloon in the given condition is 21.33

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Answer:

square root of (2+10)²+(-5+3)²

square root of 144+4

square root of 148

The original price of the bracelet, before tax $0.68

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

Amount = $0.72

Sales tax = 6%

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

Amount = Original amount * (1 + Sales tax)

Substitute the known values in the above equation, so, we have the following representation

0.72 = Original amount * (1.06)

So, we have

Original amount = 0.68

Hence, the original amount = 0.68

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Answer: D, x < 8

Step-by-step explanation: Subtract 18 from both sides.

Simplify the expression

Subtract the numbers

Subtract the numbers

Divide both sides by the same factor, and flip the relation because the factor is negative

Cancel terms that are in both the numerator and denominator

Divide the numbers

−6x+18−18>−30−18=

=x<8

Answer:

B

Step-by-step explanation:

Most triangle part to the other side.

11*14

The probability that less than or equal to 5 of the 10 independent customers will take more than 3 minutes to check out their groceries is approximately 0.9245.

To calculate this probability, we can use the binomial probability formula. Let's denote X as the number of customers taking more than 3 minutes to check out. We want to find P(X ≤ 5) when n = 10 (number of trials) and p (probability of success) is not given explicitly.

Step 1: Determine the probability of success (p).

Since the probability of each customer taking more than 3 minutes is not provided, we need to make an assumption or use historical data. Let's assume that the probability of a customer taking more than 3 minutes is 0.2.

Step 2: Calculate the probability of X ≤ 5.

Using the binomial probability formula, we can calculate the cumulative probability:

P(X ≤ 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

P(X ≤ 5) = C(10, 0) * p^0 * (1 - p)^(10 - 0) + C(10, 1) * p^1 * (1 - p)^(10 - 1) + C(10, 2) * p^2 * (1 - p)^(10 - 2) + C(10, 3) * p^3 * (1 - p)^(10 - 3) + C(10, 4) * p^4 * (1 - p)^(10 - 4) + C(10, 5) * p^5 * (1 - p)^(10 - 5)

Substituting p = 0.2 into the formula and performing the calculations:

P(X ≤ 5) ≈ 0.1074 + 0.2686 + 0.3020 + 0.2013 + 0.0889 + 0.0246

P(X ≤ 5) ≈ 0.9928

Rounding this probability to the nearest hundredth/second decimal place, we get approximately 0.99. However, the question asks for the probability that less than or equal to 5 customers take more than 3 minutes, so we subtract the probability of all 10 customers taking more than 3 minutes from 1:

P(X ≤ 5) = 1 - P(X = 10)

P(X ≤ 5) ≈ 1 - 0.9928

P(X ≤ 5) ≈ 0.0072

Therefore, the probability that less than or equal to 5 customers out of 10 will take more than 3 minutes to check out their groceries is approximately 0.0072 or 0.72%.

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Answer:

11

Step-by-step explanation:

w=11

I hope this helps

(15-4) = 11

Every 35 feet is 7 seconds

Divide total length by 35:

100/35 = 2.85714

Multiply that by 7 seconds

2.85714 x 7 = 20 seconds total

Answer: 20 seconds

Answer:

11 meters distance.

Step-by-step explanation:

The dolphin went from -6 to positive 5.      

-6+11=5

Answer:

(x+5)/(2x+3)

Step-by-step explanation:

So we know the top part is difference of two squares. So thats (x+5)(x-5)

The bottom part

Firstly you do 2 times -15= -30

Now we need to find two numbers with a difference of 7 but multiply to give 30.

30

1 x 30

2 x 15

3 x 10

5 x 6

From here we can see 3-10=-7 and multiply to make -30

So we do 2x²-10x+3x-15

simplify this in two different parts: 2x²-10x and 3x-15

2x(x-5) and 3(x-5)

Therefore we get (2x+3)(x-5)

(x+5)(x-5)/(2x+3)(x-5)

x-5 is common so they cancel each other out leaving you with

(x+5)/(2x+3)

I hoped this helped :)

A. The power of the two-tailed hypothesis test with α = .05 is 0.53.

B. The power of the one-tailed hypothesis test with α = .05 is 0.95.

A hypothesis test is used to make decisions about a population based on sample data. It involves specifying a null hypothesis, collecting data, and then assessing the data to either reject or accept the null hypothesis.

A. The power of the two-tailed hypothesis test is calculated using the formula:

Power=

1- β=1- (1-α)\(^{1/2}\)

=1- (1-0.05)\(^{1/2}\)

=0.525

=0.53

This means that the researcher has an 53% chance of correctly rejecting the null hypothesis that there has been no change in the IQ over the past 10 years.

B. The power of the one-tailed hypothesis test is calculated using the formula:

Power=

1- β=1- α

=1- 0.05

= 0.95

This means that the researcher has a 95% chance of correctly rejecting the null hypothesis that there has been no increase in the IQ over the past 10 years.

This is a higher power than the two-tailed test because the one-tailed test focuses on detecting an increase in the IQ, while the two-tailed test can detect both an increase or decrease in the IQ.

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Answer:

Snow accumulated faster in Harris. 0.50

In this game, the pure best response equilibria (BNE) are when Anna bids 200 and Brian bids 100, or when Anna bids 100 and Brian bids 200. These equilibria occur because both players are playing their best response to the other player's strategy, resulting in a Nash equilibrium.

(a) The normal form of the game can be represented in a payoff matrix where the rows represent Anna's strategies (bids) and the columns represent Brian's strategies (bids):

scss

Copy code

            Brian

         |   100   |   200   |

-------------------------------

 100 |  (300, 0) | (300, 0) |

-------------------------------

 200 | (0, 100)  | (0, 200) |

-------------------------------

In each cell, the first number represents Anna's payoff, and the second number represents Brian's payoff.

(b) To find all pure best response equilibria (BNE), we need to examine each player's strategy and determine if they have a best response to the other player's strategy.

For Anna:

If Brian bids 100, Anna's best response is to bid 200, as this guarantees a higher payoff of 300.

If Brian bids 200, Anna's best response is to bid 100, as this guarantees a higher payoff of 300.

For Brian:

If Anna bids 100, Brian's best response is to bid 200, as this guarantees a higher payoff of 0.

If Anna bids 200, Brian's best response is to bid 100, as this guarantees a higher payoff of 0.

Therefore, the pure best response equilibria (BNE) of this game are:

(Anna: 200, Brian: 100)

(Anna: 100, Brian: 200)

In both cases, both players are playing their best response to the other player's strategy, resulting in a Nash equilibrium.

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Answer:

16.5 feet is the height of the house.

Answer:

Part A: 3x - 23 = 28

Part B: x = 17

Step-by-step explanation:

Since 3 times x (3x) plus negative 23 is 28, we can make an equation

3x + (-23) = 28

3x - 23 = 28 (This is our equation)

3x = 51

x = 17

The correct option is B that is The ratio of a task's due date to its completion time is known as the crucial ratio is false.

Given that,

The ratio of a task's due date to its completion time is known as the crucial ratio.

We have to prove is the statement is true or false.

We know that,

CR stands for Critical Ratio refers to the rule of dispatching which determine the priority index number through dividing the time to due date which remained through expected elapsed time in order to complete the job.

This ratio is used in work priority sequencing waiting for processing at work center. It is established by formals due date divided by the aggregate shop remaining time. The ratio less than 1 are behind, greater than 1 are ahead as well as ratio of 1 is on schedule.

The formula is as:

CR stands for "Time Left Until Due Date / Remaining Processing Time."

Therefore, the correct option is B that is The ratio of a task's due date to its completion time is known as the crucial ratio is false.

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Answer:

2 x 2 x 5 x 5 x7

Step-by-step explanation:

2 X 2 = 4

5 x 5 =25

25 x 4 x 7 = 700

The solution to the ordinary differential equation dy = x² - x, with the initial conditions y(0) = e² - 0², is y(x) = (1/3)x³ - (1/2)x² + (e² - 1)x + (e² - 0²).

To solve the given ordinary differential equation, we can integrate both sides with respect to x. Integrating the right-hand side x² - x gives us (1/3)x³ - (1/2)x² + C, where C is the constant of integration.

Next, we need to determine the value of the constant C. Given the initial condition y(0) = e² - 0², we substitute x = 0 and y = e² into the equation. Solving for C, we find C = e² - 1.

Therefore, the particular solution to the differential equation is y(x) = (1/3)x³ - (1/2)x² + (e² - 1)x + (e² - 0²).

This solution satisfies the given differential equation and the initial condition. It represents the relationship between the dependent variable y and the independent variable x, taking into account the given initial condition.

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The probability that an international flight leaving the US is delayed in departing given that the flight is a transpacific flight is approximately 0.1964.

We can use Bayes' theorem to calculate the probability that an international flight leaving the United States is delayed in departing given that the flight is a transpacific flight. Bayes' theorem states that:

P(D|P) = P(P|D) * P(D) / P(P)

where P(D|P) is the probability that a flight is delayed given that it is transpacific, P(P|D) is the probability that a flight is transpacific given that it is delayed, P(D) is the probability of a flight being delayed, and P(P) is the probability of a flight being transpacific.

Using the given values, we can calculate:

P(P and D) = 0.11 (the probability that a flight is both transpacific and delayed)

P(P) = 0.56 (the probability that a flight is transpacific)

P(D) = 0.28 (the probability that a flight is delayed)

To find P(D|P), we need to calculate P(P and D) / P(P):

P(D|P) = P(P and D) / P(P) = 0.11 / 0.56 = 0.1964

Therefore, the probability that an international flight is delayed in departing is approximately 0.1964 (rounded to 4 decimal places).

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--The given question is incomplete, the complete question is given

"The probability that an international flight leaving the United States is delayed in departing (event D) is .28. The probability that an international flight leaving the United States is a transpacific flight (event P) is .56. The probability that an international flight leaving the U.S. is a transpacific flight and is delayed in departing is .11. (a) What is the probability that an international flight leaving the United States is delayed in departing given that the flight is a transpacific flight? (Round your answer to 4 decimal places.)"--

From the graph, choose two points to find the values

choose (0, -1) and the vertex (1, -4)

the vertex formula of the quadratic equation is:

y = a(x – h)^2 + k

where the vertex is (h, k)

so, h = 1 and k = -4

so,

y = a (x - 1)^2 + (-4)

using the point (0, -1) to find a

so,

-1 = a ( 0 - 1)^2 - 4

a = -1 + 4 = 3

so,

y = 3(x - 1)^2 - 4

y = 3( x^2 - 2x + 1) - 4

y = 3 x^2 - 6x + 3 - 4

y = 3 x^2 - 6x - 1

Answer:

34 m²

Step-by-step explanation:

Given,

Height ( h ) = 17 m

Base Area ( A ) = 6 m²

To find : Volume of Pyramid

Formula : -

Volume of Pyramid = Ah / 3

Volume of Pyramid

= 17 x 6 / 3

= 17 x 2

= 34 m²

Hence,

The Volume of pyramid is 34 m².

Answer:

\(x = 2.75\)

Step-by-step explanation:

I'm assuming you have an equation

\(12x + 7 = 40\\\)

and you want to solve for x.

This is easy. First, subtract 7 from each side of the equation.

\(12x+7-7 = 40-7\)

\(12x = 33\)

Then divide both sides by 12, to get x alone on the left side.

\(\frac{12x}{12} = \frac{33}{12}\)

\(x = \frac{33}{12} = 2.75\)

Answer:

x=6

Step-by-step explanation:

I believe these are corresponding angles so we can set these 2 equations equal to each other

7x-22=3x+2

7x=3x+24

4x=24

x=6

Hopes this helps please mark brainliest

Answer:

x = 20°

Step-by-step explanation:

Forming the equation,

→ (3x + 2)° + (7x - 22)° = 180°

Now required value of x will be,

→ (3x + 2)° + (7x - 22)° = 180°

→ 10x - 20° = 180°

→ 10x = 180° + 20°

→ x = 200°/10

→ [ x = 20° ]

Hence, the value of x is 20°.

Step-by-step explanation:

8 + 4(x-4) < 24

8+4x - 16 <24

4x-8<24

4x<32

x<8

To construct a confidence interval for the proportion of defectives, we should use the plus four method.

Since the sample size is 20, which is not very large, the large-sample interval is not appropriate. Instep, we ought to utilize a strategy that's suitable for little test sizes. 

The plus four method is one such method that is commonly used when the sample size is small. Therefore, to construct a confidence interval for the proportion of defectives, we should use the plus four method.

The plus four strategies may be a strategy for building a certainty interim for an extent when the test estimate is little.

To utilize this strategy, we to begin with include four fanciful perceptions to our test, two of which are flawed and two of which are not imperfect.

This increments the test estimate to 24, which permits us to utilize the typical guess to the binomial dispersion to build the certainty interim.

The equation for the certainty interim utilizing the also four strategies is:

p ± zα/2 √((p + 2) (1 - p + 2) / n + 4)

where:

p is the test extent (number of defectives/test estimate)

zα/2 is the basic esteem from the standard typical dissemination at the level of importance α/2

n is the test estimate (counting the included four nonexistent perceptions)

Therefore, to construct a confidence interval for the proportion of defectives, we should use the plus four method.

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The average (mean) of the data is approximately 16.89 to two decimal places.

To calculate the average (mean) of the given data, you need to sum all the values and divide by the total number of values.

Sum of the data: 25.3 + 27.9 + 16.1 + 6 + 6.8 + 7.7 + 28.4 = 118.2

Total number of values: 7

Average (mean) = Sum of the data / Total number of values

Average = 118.2 / 7

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Step-by-step explanation:

The answer to this question is 45

Answer: The bell rins at 8:19 AM, and the distance between Jimmy's house and the school is 960 meters.

Step-by-step explanation:

Let's define the variables:

T = Number of minutes after 8 AM such that the school's bell sounds.

D = Distance between jimmy's house and the school, in meters

And remember the relation:

Distance = Speed*Time.

We know that:

"If he walks at 40 meters per minute, he will reach his school 5 minutes late."

D = (T + 5)*40

"If he walks at 60 meters per minute, he will reach his school 3 minutes before the bell rings."

D = (T - 3)*60

Then we have a system of equations:

D = (T + 5)*40

D = (T - 3)*60

We can take the quotient of these two equations and get:

D/D = ((T + 5)*40 )/((T - 3)*60)

1 = (4/6)*(T + 5)/(T - 3)

Now let's solve this for T.

6/4 = (T + 5)/(T - 3)

(6/4)*T - (6/4)*3 = T + 5

(6/4)*T - T = 5 + (6/4)*3

T*(2/4) = 5 + 18/4 = 5 + 9/2

T = (4/2)*(5 + 9/2) = 19

Then the bell sounds 19 minutes after 8AM, at 8:19 AM

And with this, we can find the distance D:

D = (T + 5)*40 = (19 + 5)*40 = 960

The distance between Jimmy's house and the school is 960 meters.