These box plots show daily low temperatures for a sample of
days in two different towns.
Town A
Town B
15 20
30
15 20 25 30
40 45
0 5 10 15 20 25 30 35 40 45
Degrees (F)
58
50 55 60
Which statement is the most appropriate comparison of the
centers?
A. The median temperature for both towns is 30°.
B. The median temperature for both towns is 20°.
C. The mean for town A, 30°, is greater than the mean for town B,
25°.
D. The median for town A, 30°, is greater than the median for town B,
25°.

Answer:

Step-by-step explanation:

Answer is (A)

Replace \(6x-5y=1\) with the sum of both equations in System A

Given that Ben bowled 134 and 213 at his first two games.

Let Ben bowled x in his third game, then the average of his three bowling would be

If Ben has an average of at least 160, then the value of x is as calculated below:

Hence, Ben must bowl at least 133 to have an average of at least 160

Answer:

Top graph only

Step-by-step explanation:

A function links two set in a way that for each element from the origin set (called domain) you get one and only one element of the target set (co-domain, or range). In layman terms, once you pick your x, you get a single y. In term of graphing it it means that a vertical line of equation  touches the function either zero times (c is outside the domain, or only once (if c is in the domain. If you try it on the various functions there are intervals where you are touching the graphs twice. Or even infinite times as it happens in the last one.

Answer:

1) 40kg

2) 245kg

Step-by-step explanation:

a^2+b^2=c^2

a=15

b=25

15^2=225

25^2=625

225+b^2=625

b^2=400

b=20

Step-by-step explanation:

you can use right angle triangle to do the calculation

Answer:

circle(50)

Step-by-step explanation:

The circle should have a diameter of 50 so the answer is simply "circle (50)"

The equation Q = -L³ + 15 represents the production function of Plainfield Electronics, where Q is the quantity of industrial control panels produced and L is the level of labor input.

In this production function, the term -L³ indicates that there is diminishing returns to labor. As the level of labor input increases, the additional output produced decreases at an increasing rate. The term 15 represents the level of output that would be produced with zero labor input, indicating that there is some fixed component of output. To maximize production, the firm would need to determine the optimal level of labor input that maximizes the quantity of industrial control panels produced. This can be done by taking the derivative of the production function with respect to labor (dQ/dL) and setting it equal to zero to find the critical points. dQ/dL = -3L². Setting -3L² = 0, we find that L = 0.

Therefore, the critical point occurs at L = 0, which means that the firm would need to employ no labor to maximize production according to this production function. However, this result seems unlikely and may not be practically feasible. It's important to note that this analysis is based solely on the provided production function equation and assumes that there are no other factors or constraints affecting the production process. In practice, other factors such as capital, technology, and input availability would also play a significant role in determining the optimal level of production.

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P( X≥23.5) = 0.5 + A(0.277)

P( X≥23.5) = 0.5 + A(1.388)

Given that the mean of the Population = 26 weeks

The Standard deviation of the Population = 9 weeks

Let 'X' be a Normal distribution

Z = \(\frac{x-mean}{standard deviation}\)

Z = \(\frac{23.5-26}{9}\)

Z = -2.5/9

Z = -0.277

The probability that a single randomly selected value is greater than 23.5

P( X≥23.5) = P(Z≥-0.277)

P( X≥23.5) = 0.5 + A(-0.277)

P( X≥23.5) = 0.5 + A(0.277)              

Let 'X' be a Normal distribution

Z = \(\frac{x-mean}{\frac{standard deviation}{\sqrt{n} } }\)

Z = \(\frac{23.5-26}{\frac{9}{\sqrt{25} } }\)

Z = -2.5/9/5

Z = -2.5/1.8

Z = -1.388

The probability that a  sample of size randomly selected value is greater mean greater than 23.5

P( X≥23.5) = P(Z≥-1.388)

P( X≥23.5) = 0.5 + A(-1.388)

P( X≥23.5) = 0.5 + A(1.388)

Therefore,

P( X≥23.5) = 0.5 + A(0.277)

P( X≥23.5) = 0.5 + A(1.388)

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Answer:

5 ham sandwiches

Step-by-step explanation:

To find the number of ham sandwiches sold, we should find the pair of numbers that have a difference of 6 and add to 16.

While this method isn't always very efficient, it worked pretty well for this case!

Therefore, the answer is 5 ham sandwiches.

Answer:

5

Step-by-step explanation:

11 and 5 have a 6 number gap between them 5 plus 11 gets you 16

The scale factor used to dilate triangle ABC to triangle A'B'C' is approximately 4. So, correct option is C.

To determine the scale factor used to dilate triangle ABC to triangle A'B'C', we can use the formula:

scale factor = distance(A', B') / distance(A, B)

We can choose any pair of corresponding vertices to calculate the distance, but it's usually easiest to use the endpoints of a side. Let's use points A and A', and points B and B', respectively:

distance(A', B') = √[(12 - (-12))² + (12 - (-12))²] = √(24² + 24²)  ≈ 34

distance(A, B) = √[(3 - (-3))² + (3 - (-3))²] = √(6² + 6²) = 6√2

Substituting these values into the formula, we get:

scale factor = 34 / (6√2) ≈ 4

This means that every length in triangle A'B'C' is 4 times the corresponding length in triangle ABC.

Therefore, Correct option is C.

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Using the Poisson distribution, the probability of observing exactly three accidents on this stretch of road next month is given by:

b) 0.052.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

The parameters are:

Researching this problem on the internet, the mean is given by:

\(\mu = 7\).

The probability of observing exactly three accidents on this stretch of road next month is P(X = 3), hence:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

\(P(X = 3) = \frac{e^{-7}7^{3}}{(3)!} = 0.052\)

Hence option B is correct.

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Answer: A. 5x+x+18 = 180

Step-by-step explanation:

For B you need to find the value of x first.

5x + x + 18 = 180 is your equation.

Combine like terms: 5x+x = 6x

Equation should now look like this

6x + 18 = 180

Subtract 18 to both sides 180-18 = 162

Do 162/6 = 27

X = 27

WE ARE NOT DONE!!!!!

1. 5(27) = 135

2. 27+18 = 45

Angle 1 = 135

Angle 2 = 45

A. The work done is 300 ft-lbs when a 100 lb rock is lifted to a height of 3 ft.

To calculate the work done, we can use the formula: Work = force x distance x cos(Ф).In this case, the force is the force of gravity acting on the rock, which can be calculated using the formula:

force = m * g

where m is the mass of the rock and g is the acceleration due to gravity (32.17 ft/s^2).

force = 100 lb * 32.17 ft/s^2 = 3,217 ft-lbs

The distance is the height to which the rock is lifted, which is 3 ft.

The angle of the rock to the vertical is 90 degrees, so cos(90) = 0.

So,

Work = force x distance x cos(theta) = 3,217 ft-lbs * 3 ft * 0 = 300 ft-lbs

So, the work done is 300 ft-lbs.

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Answer:

C.

Step-by-step explanation:

just took the test

The 15th term of the arithmetic sequence \(a_{15} = 64\)

Option B is correct

The nth term of an arithmetic sequence is given as:

\(a_{n} = a + (n - 1)d\)

The first value, a = 22

\(a_8 = a+(8 - 1)d\\a_8 = a + 7d\)

Since \(a_8 = 43\)

\(43 = 22 + 7d\\7d = 43 - 22\\7d = 21\\d = \frac{21}{7}\\d = 3\)

The common difference, d = 3

\(a_{15}= a + (15-1)d\\a_{15} = a + 14d\\a_{15} = 22 + 14(3)\\a_{15} = 22 + 42\\a_{15} = 64\)

The 15th term of the arithmetic sequence = 64

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One possible explanation for the difference in responses to the survey question could be the order in which the questions were presented. It is possible that the question that was answered yes by 75% of one group was presented earlier in the survey for that group, while it was presented later in the survey for the other group.

Research has shown that the order in which questions are presented can have an effect on how people respond to them. This effect is known as "question order bias" or "primacy and recency effects". The first few questions of a survey can set the tone for how participants answer subsequent questions, and the order of the questions can affect the responses.

Another possible explanation for the difference in responses could be sampling error or chance. Even if the two groups are similar, there can still be variability in the responses due to random chance. If the survey question was a sensitive topic or there was ambiguity in the wording of the question, this could also contribute to the difference in responses.

In summary, the difference in responses to the survey question between the two groups could be due to question order bias, sampling error, or other factors. It is difficult to determine the exact cause without more information about the survey and the specific question that was asked.

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The equation of the tangent line to the curve are  \(y=x-1 , y=\frac{xe-e^{2}+8 }{e}\).

It is required to find the solution.

A tangent is a line that touches the edge of a curve or circle at one point, but does not cross it. The tangent line to a curve at a point is that straight line that best approximates (or “clings to”) the curve near that point.

Given:

\(y=8\frac{lnx}{x} \\\\y'=8(\frac{1/x*x-lnx*1}{x^{2} } \\\\y'=\frac{1-lnx}{x^{2} }\)

Now, we find the slope of the tangent by inserting the point (1,0) into the derivative.

\(m_{tangent}=\frac{1-ln1}{1^{2} }\\\\m_{tangent}=1-0/1\\\\m_{tangent} =1\)

We can now find the equation, because we know the slope and a point (1, 0).

\(y-y_{1} =m(x-x_{1} )\\\)

y-0=1(x-1)

y=x-1

We can now find the equation, because we know the slope and a point (e, 8/e).

\(y-y_{1} =m(x-x_{1} )\\\\y-8/e=1(x-e)\\\\y=\frac{xe-e^{2}+8 }{e}\)

Therefore, the equation of the tangent line to the curve are  \(y=x-1 , y=\frac{xe-e^{2}+8 }{e}\).

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Answer:

1/8

Step-by-step explanation:

Answer:

bro said b so b

Step-by-step explanation:

According to the dataset, the mean of Dave’s nightly tips is $144.68

The mean of a dataset is the average value of the dataset

Below is how to calculate the mean of Dave’s nightly tips

Mean is calculated using:

Mean = sum of observations/Number of observations

The sum of observations is:

Sum = 100.85 + 166.57 + 135.74 + 148.12 + 113.94 + 190.13 + 235.31 + 102.57 + 124.02 + 142.40 + 108.60 + 110.50 + 163.82 + 183.01

Evaluate

Sum = 2025.58

The number of observations is 14.

So, the mean is:

Mean = 2025.58/14

Divide

Mean = 144.68

Hence, the mean of Dave’s nightly tips is $144.68

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Answer:what

Step-by-step explanation:what does this mean

Answer:

pls follow me. and. give me.thanks also

180g = 0.180 kg or there are 0.180 kilograms in 180 grams.

In mathematics, conversion is the process of changing the value of one form or unit to another. It can be changing ones unit of length, weight, volume or even currency to another.

A conversion factor is a number used to change one set of units to another, either by multiplying or dividing.

The sentence states an equality between a units of weight in grams (g) and kilograms (kg).

From there, we can say that we are asked how many kilograms are there in 180 grams.

Converting grams to kilograms, we must use the conversion

1 g = 0.001 kg

180g = 180 (0.001) kg

180g = 0.180 kg

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As we have proved that the Fourier transform F(ω), with the only difference being the sign of ω

Firstly, let us recall what the Fourier transform is. It is a mathematical technique that decomposes a function into its frequency components. The Fourier transform is defined as:

F(ω) = ∫ f(t) \(e^{(-iwt)}\)dt

where f(t) is the function being transformed, ω is the frequency, i is the imaginary unit, and e^(-iωt) is a complex exponential function. The inverse Fourier transform is defined as:

f(t) = (1/2π) ∫ F(ω) \(e^{(iwt)}\) dω

where F(ω) is the Fourier transform of f(t).

Now, let's move on to the symmetry properties of the Fourier transform.

If f(t) is an even function, meaning f(-t) = f(t), then F(ω) is also even, meaning F(-ω) = F(ω).

To prove this, we start with the definition of the Fourier transform and substitute -t for t:

F(-ω) = ∫ f(-t)\(e^{(iwt)}\) dt

Then, using the even symmetry of f(t), we can replace f(-t) with f(t):

F(-ω) = ∫ f(t) \(e^{(iwt)}\) dt

Therefore, F(-ω) = F(ω) if f(t) is even.

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The length of side AB is 15 units.

Given that triangles ADE and ABC are similar, and the length of side AC is 12, the length of side AE is 8 and the length of side AD is 10.

We need to find out the length of side AB.Since triangles ADE and ABC are similar, the corresponding sides are proportional.

Therefore, we have the proportion:AD / AB = AE / AC

So, we can find the length of AB by rearranging the proportion:

AB = AD × AC / AE

Since triangles ADE and ABC are similar, we can use the similarity property to indicate that corresponding sides of similar triangles are proportional.

Let x be the length of side AB.

Knowing the ratio of the corresponding sides, we can establish the ratio:

AE / AB = DE / BC

Substitute the given values:

8 / x = 10 / 12

To solve for x can do cross multiplication.

Solve the resulting equation:

8 * 12 = 10 * x

96 = 10x

Divide both sides by 10:

96 / 10 = x

x = 9.6

Taking the given values:

AB = 10 × 12 / 8AB

= 15

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The equation that relates the graph is a) y= - 1/2(x-3)²+2

Here Let put x=7

y= -1/2(x-3)²+2

= -1/2(7-3)²+2

= -1/2(4)²+2

= -1/2(16)+2

= - 8+2

= - 4

Hence (7,-4) is marked.

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