at least how many sets must be printed to be sure of having at least 2 identical subsets on the list?

Answer:

-0.96126 but this isn't rounded so you will need to round yourself

Answer:

The answer is

Step-by-step explanation:

Answer:

68

Step-by-step explanation:

54 + c2

substitute c = 7 in the equation

54 +(7)2

54+14

=68

The optimal strategy is to pick door 1 and stay - this will give you a 50 percentage chance of winning the car.

The optimal strategy to win the game show is to pick door 1 initially and stay. This is because door 1 has the car 50% of the time, which is the highest chance of any of the three doors. If you switch to a different door, then you would have a 40% chance of winning if you switched to door 2, and a 10% chance of winning if you switched to door 3. Since door 1 has the highest chance of having the car, it is the optimal choice to initially select door 1 and stay. By doing so, you have a 50% chance of winning the car.

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Answer:

The width of Dana's living room is 16 feet.

Explanation:

Because Dana's living room is rectangular and we are given the length of one side and the length of the diagonal we can use the Pythagorean Theorem to solve this problem.

For a right triangle which the length, width and diagonal make up the Pythagorean Theorem states:

a

2

+

b

2

=

c

2

Let the length of 12 be

a

and because the diagonal is the hypotenuse of the triangle (the side opposite the right angle) we let

c

be 20. Substituting and solving gives:

12

2

+

b

2

=

20

2

144

+

b

2

=

400

144

−

144

+

b

2

=

400

−

144

0

+

b

2

=

256

b

2

=

256

√

b

2

=

√

256

b

=

16

If we want to evaluate the stability of atmosphere , the we would examine the temperature and dew point data from a sounding .

The Sounding is a vertical profile of atmospheric variables, such as temperature, pressure, and humidity, measured using a weather balloon or other instrument.

By examining the temperature and dew point profiles on a sounding, meteorologists can determine the stability of the atmosphere.

The Stability of the atmosphere refers to its tendency to resist or promote vertical motion, such as rising air or sinking air.

If the atmosphere is unstable, it promotes vertical motion, which can lead to the development of clouds, thunderstorms, and other weather phenomena. If the atmosphere is stable, it resists vertical motion, which can result in clear skies and calm weather.

Therefore, to evaluate the stability of the atmosphere, one would examine the temperature and dew point data from a sounding .

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Answer:

22cm

Step-by-step explanation:

Curve surface area = height x circumference.

In order to find circumference =2(pi)r

2(pi)(7)=14 pi = 44 (pretty much, rounded)

968/44=22

The height is 22cm

Hope this helped!

Answer: (3,3)

Step-by-step explanation:

Answer:

????????????????

Step-by-step explanation:

what's the question

Answer:

50

Step-by-step explanation:

The concentrations of the other three tubes are 1500 ng/ml, 15000 ng/ml, and 150000 ng/ml, respectively.

In order to answer the question, we need to have more information about the dilution factor of the tubes. Assuming that all the tubes have the same dilution factor, we can use the formula:C1V1 = C2V2

Where,C1 = concentration of the initial solution,V1 = volume of the initial solution,C2 = concentration of the final solution,V2 = volume of the final solution

Given that the concentration of the first tube is 150 ng/ml, we can use the above formula to calculate the concentrations of the other three tubes, provided we know the dilution factor.

Let's assume that the dilution factor is 10, which means that the initial volume was diluted by a factor of 10 to obtain the final volume in each tube.

Using the formula,C1V1 = C2V2

For tube 1, C1 = 150 ng/ml, V1 = 1 ml (assuming initial volume is 1 ml), C2 = concentration of tube 2, V2 = 0.1 ml (assuming a dilution factor of 10)

Substituting the values,150 x 1 = C2 x 0.1C2 = 1500 ng/ml

Therefore, the concentration of tube 2 is 1500 ng/ml.

Repeating the same process for the other two tubes, we get:C3 = 15000 ng/mlC4 = 150000 ng/ml

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Equivalent to 5(x+7)+7(x+5) is expression 12x + 70 .

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given expression

5(x+7)+7(x+5)

Using distributive property

= 5x + 35 + 7x + 35

Adding like terms

= 12x + 70

Hence, expression 12x + 70 is  equivalent  to 5(x+7)+7(x+5).

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Answer:

The mean, median, and standard deviation of the University of Oregon are $451.33, $467.5, and $113.61 respectively.

The mean, median, and standard deviation of the University of Washington are $396.67, $380, and $56.27 respectively.

Step-by-step explanation:

We are given that a sample of the amount of rent paid for one-bedroom apartments of similar size near the University of Oregon is: $295, $475, $345, $595, $538, $460.

A second sample of the amount of rent paid for one-bedroom apartments of similar size near the University of Washington is: $495, $422, $370, $333, $370, $390.

Firstly, we will calculate the mean, median, and standard deviation for the data of the University of Oregon.

Arranging the data in ascending order we get;

X = $295, $345, $460, $475, $538, $595.

The mean of the above data is given by the following formula;

                  Mean, \(\bar X\)  =  \(\frac{\sum X}{n}\)

                                   =  \(\frac{\$295+ \$345+ \$460+\$475+ \$538+\$595}{6}\)

                                   =  \(\frac{\$2708}{6}\)  = $451.33

So, the mean price of rent near the University of Oregon is $451.33.

For calculating the median, we first have to observe that the number of observations (n) in the data is even or odd.

                    Median  =  \((\frac{n+1}{2} )^{th} \text{ obs.}\)

                    Median  =  \(\frac{(\frac{n}{2} )^{th} \text{ obs. } + (\frac{n}{2}+1 )^{th} \text{ obs.}}{2}\)

Here, the number of observations is even, i.e. n = 6.

So,  Median  =  \(\frac{(\frac{n}{2} )^{th} \text{ obs. } + (\frac{n}{2}+1 )^{th} \text{ obs.}}{2}\)

                     =  \(\frac{(\frac{6}{2} )^{th} \text{ obs. } + (\frac{6}{2}+1 )^{th} \text{ obs.}}{2}\)

                     =  \(\frac{(3 )^{rd} \text{ obs. } + (4 )^{th} \text{ obs.}}{2}\)

                     =  \(\frac{\$460 +\$475}{2}\)  = $467.5

Hence, the median price of rent for the University of Oregon is $467.5.

Now, the standard deviation is calculated by using the following formula;

         Standard deviation, S.D.  =  \(\sqrt{\frac{\sum (X -\bar X)^{2} }{n-1} }\)

                     =  \(\sqrt{\frac{ (\$295 - \$451.33)^{2} +(\$345 - \$451.33)^{2} +......+(\$595 - \$451.33)^{2} }{6-1} }\)

                     =  $113.61

So, the standard deviation for the University of Oregon is $113.61.

Now, we will calculate the mean, median, and standard deviation for the data of the University of Washington.

Arranging the data in ascending order we get;

X = $333, $370, $370, $390, $422, $495.

The mean of the above data is given by the following formula;

                  Mean, \(\bar X\)  =  \(\frac{\sum X}{n}\)

                                   =  \(\frac{\$333+ \$370+ \$370+\$390+ \$422+\$495}{6}\)

                                   =  \(\frac{\$2380}{6}\)  = $396.67

So, the mean price of rent near the University of Washington is $396.67.

For calculating the median, we first have to observe that the number of observations (n) in the data is even or odd.

                    Median  =  \((\frac{n+1}{2} )^{th} \text{ obs.}\)

                    Median  =  \(\frac{(\frac{n}{2} )^{th} \text{ obs. } + (\frac{n}{2}+1 )^{th} \text{ obs.}}{2}\)

Here, the number of observations is even, i.e. n = 6.

So,  Median  =  \(\frac{(\frac{n}{2} )^{th} \text{ obs. } + (\frac{n}{2}+1 )^{th} \text{ obs.}}{2}\)

                     =  \(\frac{(\frac{6}{2} )^{th} \text{ obs. } + (\frac{6}{2}+1 )^{th} \text{ obs.}}{2}\)

                     =  \(\frac{(3 )^{rd} \text{ obs. } + (4 )^{th} \text{ obs.}}{2}\)

                     =  \(\frac{\$370 +\$390}{2}\)  = $380

Hence, the median price of rent for the University of Washington is $380.

Now, the standard deviation is calculated by using the following formula;

         Standard deviation, S.D.  =  \(\sqrt{\frac{\sum (X -\bar X)^{2} }{n-1} }\)

                     =  \(\sqrt{\frac{ (\$333 - \$396.67)^{2} +(\$370 - \$396.67)^{2} +......+(\$495 - \$396.67)^{2} }{6-1} }\)

                     =  $56.27

So, the standard deviation for the University of Washington is $56.27.

Answer:

a = 2b - z

Step-by-step explanation:

2(z+a) = 4b

z + a = 4b/2

z + a = 2b

a = 2b - z

Answer:

A.32.10

Step-by-step explanation:

You have to remember to subtract the $35 then start to figure out how much he paid every month for a year.

Answer:

104cm² is the answer for this question

the formula is 2(lw + wh + lh)

2(5×6+6×2+5×2)

2×52

104cm²

Answer:

56 degrees

Step-by-step explanation:

the total sum of the angles in a triangle is 180

90+34+b=180

b=180-124

=56

Answer:

56°

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180°.

The triangle shown in the image is a right triangle so one of the angle measure is 90°.

Given, the other angle is 34°, we can find the value of missing angle with the following equation:

x + 90° + 34° = 180°

x + 124° = 180°

x = 56°

24.07 rounded to the nearest tenth is 24.1

Answer:

Here is an example

Step-by-step explanation:

Answer:

Step-by-step explanation:

let f(x)=ab^x

when x=1,f(x)=6

6=ab

when x=2,f(x)=18

18=ab^2

divide

\(\frac{ab^2}{ab}=\frac{18}{6}\\b=3\\ab=6\\3a=6\\a=2\\f(x)=2(3)^x\)

Answer:

a = 18.8

Step-by-step explanation:

With it being a right angle, you can use the pythagorean theorem equation.

\(a^{2} + b^{2} =c^{2} \\a^{2} + 18^{2} =26^{2} \\a^{2} +324 = 676\\a^{2} = 676 - 324 \\a^{2} = 352\\a = \sqrt{352} \\a = 18.76 = 18.8\)

17.) D= Hypertension
E= Smoking habits
Study design= Cross-sectional

18.) D= Dental cavities
E= Fluoride levels in drinking water
Study design= Ecological study

19.) D= IQ scores and school performance
E= Lead contamination levels
Study design= Case-control

20.) D= Severe autoimmune diseases
E= Silicone breast implants
Study design= Case series

17.) Hypertension awareness program, volunteers at a weekend health fair in a shopping mall note down blood pressure of determined smoking habits of 2000 people.
D= Hypertension
E= Smoking habits
Study design= Cross-sectional

18.) Average rate of dental cavities among children in 50 communities was anallysed with the average level of fluoride in the drinking water of those same communities.
D= Dental cavities
E= Fluoride levels in drinking water
Study design= Ecological study

19.) The IQ scores with school performance of the 100 most-lead effected children and the 100 least-lead effected children were determined and compared in the 3rd, 6th and 9th grade.
D= IQ scores and school performance
E= Lead contamination levels
Study design= Case-control

20.) Eight women between the ages of 25 and 45 who had breast augmentation with silicone breast implants in past were reported to have developed severe autoimmune diseases within 2 to 4 years after surgery.

D= Severe autoimmune diseases
E= Silicone breast implants
Study design= Case series

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Answer:

12 years, the slope is 7/2 so if you apply that then its 12 years

Step-by-step explanation:

Angle of elevation of the Sun is approximately 76.0 degrees when rounded to the nearest tenth

To find the angle of elevation of the Sun, you can use the tangent function.

Step 1: Identify the opposite side (building height) and the adjacent side (shadow length) in relation to the angle. In this case, the opposite side is 360 feet, and the adjacent side is 90 feet.

Step 2: Calculate the tangent of the angle. Tangent (angle) = opposite side / adjacent side = 360 / 90 = 4.

Step 3: Find the inverse tangent (arctangent) of the result from Step 2. Angle = arctan(4).

Step 4: Calculate the angle in degrees. Using a calculator, you get approximately 75.96 degrees.

So, the angle of elevation of the Sun is approximately 76.0 degrees when rounded to the nearest tenth.

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Answer:

69

Step-by-step explanation:

Answer:

69

Step-by-step explanation:

because 100 minus 31 equals 69

Step 1

Use the law that the sum of angles on a straight line is 180° to find y given that x = 42°

Step 2

Using the law

x + y = 180°

After substitution

42 + y = 180

y = 180 - 42

y =138°

The rational expression that simplifies to (x-2)/(x+6) is x(x-2)/x(x+6)

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

(x-2)/(x+6)

A rational expression is an expression that can be expressed as

a/b

So, we can multiply the numerator and the denomonator of (x-2)/(x+6) by the same factor (say x)

So, we have

(x-2)/(x+6) = x(x-2)/x(x+6)

Hence, the rational expression that simplifies to the given expression is x(x-2)/x(x+6)

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Answer: The given differential equation is a second-order homogeneous differential equation with constant coefficients. The general form of the auxiliary equation for such an equation is:

ar² + br + c = 0

where a, b, and c are constants. The roots of this equation give us the characteristic roots of the differential equation, which are used to find the general solution.

For the given differential equation, the auxiliary equation is:

x^2r^2 - 20 = 0

Simplifying, we get:

r^2 = 20/x^2

Taking the square root of both sides, we get:

r = ±(2√5)/x

The roots of the auxiliary equation are therefore:

r1 = (2√5)/x

r2 = -(2√5)/x

The general solution to the differential equation is:

y(x) = c1 x^(2√5)/2 + c2 x^(-2√5)/2

where c1 and c2 are constants determined by the initial or boundary conditions.

The general solution to the differential equation is:

y(x) = c1 x^5 + c2 x^-4

The auxiliary equation corresponding to the differential equation is:

r^2x^2 - 20 = 0

Solving for r, we get:

r^2 = 20/x^2

r = +/- sqrt(20)/x

r = +/- 2sqrt(5)/x

The roots of the auxiliary equation are +/- 2sqrt(5)/x.

To solve the differential equation, we assume that the solution has the form y(x) = Ax^r, where A is a constant and r is one of the roots of the auxiliary equation.

Substituting y(x) into the differential equation, we get:

x^2 (r)(r-1)A x^(r-2) - 20Ax^r = 0

Simplifying, we get:

r(r-1) - 20 = 0

r^2 - r - 20 = 0

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

So the roots of the auxiliary equation are r = 5 and r = -4.

Thus, the general solution to the differential equation is:

y(x) = c1 x^5 + c2 x^-4

where c1 and c2 are arbitrary constants.

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