19 married couples are randomly seated at a round table. assume the couples are heterosexual. find the expected number of wives who are seated next to their husbands.

Answer:

k = - \(\frac{7}{5}\)

Step-by-step explanation:

The equation relating the quantities is

y = kx ← k is the constant of proportionality

To find k use the condition when x = 5 , y = - 7 , then

- 7 = 5k ( divide both sides by 5 )

- \(\frac{7}{5}\) = k

Step-by-step explanation:

1.LI is a segment bisector

2.LI is a perpendicular bisector

3. L is a midpoint of a segment (not sure)

Answer:

2.25 & 2 1/4

Step-by-step explanation:

To convert from percent to decimal, divide by 100 (or simply move the decimal two spots to the left.  

So, 225% as a decimal is 2.25

To make it a fraction, keep the whole number and put the fraction over 100

2 25/100

Reduce the fraction by 25 so your answer is 2 1/4

Answer:

2/1 4

2.25

Step-by-step explanation:

Answer:

132.8 are left enjoy

One cup can hold (A), you will need a total of 205.37 paper cups (B), and a total of 5 packages (C).

Let's calculate the volume of the cone:

V=1/3πhr²

V= 1.04 x 11 x 4 ^2 (diameter / 2 radius)

V= 1.04 x 11  x 16 = 184.30 cubic centimeters

Total of lemonade: 37850 cubic centimeters (10 gallons x 3785 cubic centimeters per gallon)

37850 / 184.30 = 205.37 cups

205.37 / 50 cups = 4.1 packages

However, as you need to buy complete packages, this can be rounded to 5 packages.

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Applying exponential properties, we have that the solution to the given expression is:

\(-\frac{125}{343}\)

When a fraction is elevated to the exponent, we apply the exponent to both the numerator and the denominator.

In this problem, we have that:

Negative base with odd exponent, hence the solution is negative and given as follows:

\(-\frac{125}{343}\)

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The second term of the sequence is 24, the fifth term is 63, and the eleventh term is 141.

To find the second term of the sequence, we substitute n=2 into the formula A(n)=11+(n-1)(13):
A(2) = 11 + (2-1)(13) = 11 + 13 = 24

So the second term of the sequence is 24.

To find the fifth term of the sequence, we substitute n=5 into the formula:
A(5) = 11 + (5-1)(13) = 11 + 52 = 63

So the fifth term of the sequence is 63.

To find the eleventh term of the sequence, we substitute n=11 into the formula:
A(11) = 11 + (11-1)(13) = 11 + 130 = 141

So the eleventh term of the sequence is 141.
In summary, the second term of the sequence is 24, the fifth term is 63, and the eleventh term is 141.

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Answer:

B

Step-by-step explanation:

given

tanΘ = \(\frac{3\sqrt{5} }{2}\) = \(\frac{opposite}{adjacent}\)

this ratio relates to a right triangle, with hypotenuse h and

legs 3\(\sqrt{5}\) and 2

using Pythagoras' identity in the right triangle

h² = (3\(\sqrt{5}\) )² + 2² = 45 + 4 = 49 ( take square root of both sides )

h = \(\sqrt{49}\) = 7

then

cosΘ = \(\frac{adjacent}{hypotenuse}\) = \(\frac{2}{7}\)

Answer:A:3/24

Step-by-step explanation:

It’s basic math

The probability that the hotel receives at least one of the defective sets is 99.59%

To find the probability that the hotel receives at least one defective set, we can use the concept of complementary probability.

The probability of the hotel receiving at least one defective set is equal to 1 minus the probability of the hotel receiving no defective sets.

The probability of the hotel receiving no defective sets can be calculated as the ratio of the number of ways to choose 6 non-defective sets out of the total number of ways to choose any 6 sets.

The total number of ways to choose 6 sets from the shipment of 13 sets is given by the binomial coefficient C(13, 6).

The number of ways to choose 6 non-defective sets from the remaining 13 - 6 = 7 non-defective sets is given by the binomial coefficient C(7, 6).

Therefore, the probability of the hotel receiving no defective sets is:

P(no defective sets) = C(7, 6) / C(13, 6)

To find the probability of receiving at least one defective set, we subtract this probability from 1:

P(at least one defective set) = 1 - P(no defective sets)

Calculating the values:

C(7, 6) = 7

C(13, 6) = 1716

P(no defective sets) = 7 / 1716

P(at least one defective set) = 1 - 7 / 1716

Therefore, the probability that the hotel receives at least one defective set is approximately:

P(at least one defective set) ≈ 1 - 0.0041 ≈ 0.9959 or 99.59%

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Answer:

There are 2 solutions:

x =-3, 3.

Step-by-step explanation:

4 - |x| = 1

|x| = 4 - 1 = 3

x =-3, 3.

Answer:

A = 6

Step-by-step explanation:

just multiply the width by the length

Answer:

look below

Step-by-step explanation:

add 6+12+6+12 to find the perimetor

Answer:

82

Step-by-step explanation:

The formula for a rectangle is l x w. multiply 12 x 6 which gives you 82.

There are three a's, we can write a³ instead of a×a×a. This gives us d×b×c×a³

To simplify the expression d×b×c×a×a×a, we can rewrite it using exponents. Since there are three a's, we can write a³ instead of a×a×a. This gives us:

d×b×c×a³

This is the simplified expression using single variables raised to exponents. We can read this as "d times b times c times a to the power of 3".

It's important to note that when we have multiple variables multiplied together, we can simplify the expression by combining them using exponents. This makes it easier to work with and to manipulate algebraic equations.

In this case, we were able to simplify the expression by replacing three instances of a with a³. We could continue to simplify further if we had additional like terms, but in this case, this is the simplest form of the expression.

Overall, simplifying expressions using exponents is a common technique in algebra and can help make solving equations more manageable.

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Answer:

Hello there!

4 and 2 are coefficients.

A coefficient is a number before a variable.

Hope it helps! :)

Step-by-step explanation:

Answer:

y = -34

Step-by-step explanation:

Step 1

1/4 y + 9 = 1/2

1/4 + 9 - 9 = 1/2 - 9

1/4 y = -17/2

Step 2

4 * (1/4 y) = 4* (-17/2)

y = -34

Hope this helps!!

The probability of choosing a car or a truck is P(Car) + P(Truck).

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Answer:

76%

Step-by-step explanation:

number of girls is 6

number of boys is 25-6=19

percentage of boys = number of boys ÷ total no of students * 100

so... (19÷25)*100=76%

The population of an island in 1950 was 2 million. The population grew exponentially for 63 years and reached 6.5 million in 2013. The carrying capacity of the island is estimated to be 10 million.

If the population growth rate in the future is similar to the last 50 years, what will the population be in 2050

The population is given to be increasing exponentially, which means it will follow the equation:

\($P(t) = P_0 e^{rt}$\)Here,\($P(t)$\) is the population after a period of time \($t$, $P_0$\) is the initial population, $r$ is the annual growth rate (which we are given is the same as the growth rate of the last 50 years), and \($t$\) is the time.

We can find the annual growth rate $r$ using the formula:\($$r = \frac{\ln{\frac{P(t)}{P_0}}}{t}$$\)
We know\($P_0 = 2$ million, $P(t) = 6.5$ million, and $t = 63$\) years. Substituting these values, we get:

\($r = \frac{\ln{\frac{6.5}{2}}}{63} = 0.032$\) (rounded to 3 decimal places)

Since the carrying capacity of the island is 10 million, we know that the population will not exceed this limit.

Therefore, we can use the logistic model to find the population growth over time. The logistic growth model is:

\($$\frac{dP}{dt} = r P \left(1 - \frac{P}{K}\right)$$\)

where $K$ is the carrying capacity of the environment. This can be solved to give:\($P(t) = \frac{K}{1 + A e^{-rt}}$\)

where \($A = \frac{K-P_0}{P_0}$. We know $K = 10$ million, $P_0 = 2$ million, and $r = 0.032$\). Substituting these values, we get:\($A = \frac{10-2}{2} = 4$\)

Therefore, the equation for the population of the island is:\($P(t) = \frac{10}{1 + 4 e^{-0.032t}}$\)

To find the population in 2050, we substitute\($t = 100$\) (since 63 years have already passed and we want to find the population in 2050, which is 100 years after 1950):

\($P(100) = \frac{10}{1 + 4 e^{-0.032 \times 100}} \approx \boxed{8.76}$ million\)
Therefore, the estimated population of the island in 2050, assuming constant carrying capacity and consumption per capita, is approximately 8.76 million.

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Answer: Credit cards

Step-by-step explanation:

(you can search it up as well)

Answer:

43.3 ft

Explanation:

The diagram representing this problem is drawn and attached below:

The distance between the boy and the tree = x

Recall from trigonometrical ratios:

Therefore:

The distance between the boy and the tree is 43.3 ft (correct to 2 decimal places).

Answer:

(x+3)(2x+3)

Step-by-step explanation:

Factor:

2x^2+9x+9

=(2x+3)(x+3)

Answer:

(x + 3)(2x + 3)

Step-by-step explanation:

Sum = 9

Product = 2*9 = 18

Factors = 6 ,3

2x² + 9x + 9 = 2x² + 6x + 3x + 3 * 3

                    = 2x ( x + 3) + 3( x + 3)

                      = (x +3)(2x + 3)                

ANSWERS

• A = 36.8°

• B = 23.2°

• a = 7.6

EXPLANATION

We can find B using the law of sines,

We have b = 5, c = 11 and C = 120°. Using the last two ratios,

Rise both sides of the equation to -1 - i.e. flip both sides,

Multiply both sides by b,

And take the inverse of the sine,

Replace with the values and solve,

Then, knowing that the sum of the measures of all the interior angles of a triangle is 180°, we find A,

Solving for A,

Finally, let's find a using the law of sines with the first and last ratios,

Solving for a,

Hence, the missing elements are A = 36.8°, B = 23.2° and a = 7.6.

Answer:

2/3 lemon's per cup.

Step-by-step explanation:

10÷15=2÷3 .

Please give me brainliest.Thank you. :-):-)

Answer:

600 centimeters

Step-by-step explanation:

one meter is 100 centimeters so 6 meters is 600 centimeters :)

1 meter is 100 centimeters so 6 meter is 600 centimeters

To determine the annual energy output of the small grid-connected wind turbine, additional information is needed, such as the average wind speed at the location and the power curve of the turbine. Without these details, it is not possible to provide a direct answer.

The annual energy output of a wind turbine depends on various factors, including the wind resource available at the site. The wind speed distribution and the power curve of the specific turbine model are crucial in estimating the energy production.

To calculate the annual energy output, the following steps can be taken:

Without the specific wind speed data and power curve of the wind turbine, it is not possible to calculate the annual energy output accurately. These details are crucial in estimating the energy production of the small grid-connected wind turbine.

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Answer:

9

Step-by-step explanation

First you multiply 3 five times, then you multiply 3 seven times and you divide the results of each multiplication

Answer:

0.111111111111111

Step-by-step explanation:

=> 3⁵÷3⁷

Note 3⁵ means multiplying 3 five times

And 3⁷ means multiplying 3 7 times

=> 3×3×3×3×3÷3×3×3×3×3×3×3

multiply the values and then divide

=> 243÷2,187

divide 243 by 2187

=> 0.111111111111111

Answer:

144

Step-by-step explanation:

The measure of each interior angle formula:

\(\frac{180(n-2)}{n} \\\\\frac{180(10-2)}{10} \\\\\frac{180(8)}{10} \\\\\frac{1440}{10} \\\\144\)

Answer:

135

Step-by-step explanation:

deltamath