Find the value(s) of the variable(s). if necessary, round decimal answers
to the nearest tenth.

Answer:

5 weeks its 40 divided by 8

Step-by-step explanation:

In each scenario, the choice between mean and median as a representative measure of central tendency depends on the nature of the data and the specific context..

1. Scenario: Income distribution of a population

- If the income distribution is skewed or contains extreme values (outliers), the median would be a better representation of the central tendency. This is because the median is not influenced by outliers and provides a more robust estimate of the "typical" income level. However, if the income distribution is approximately symmetric without outliers, the mean can also be an appropriate measure.

2. Scenario: Exam scores in a class

- If the exam scores are normally distributed without significant outliers, the mean would be a suitable measure as it takes into account the value of each score. However, if there are extreme scores that deviate from the majority of the data, the median may be a better representation. This is especially true if the outliers are indicative of errors or exceptional circumstances.

3. Scenario: Housing prices in a city

- In this case, the median would be a more appropriate measure to represent the central tendency of housing prices. This is because the housing market often exhibits a skewed distribution with a few high-priced properties (outliers). The median, being the middle value when the data is sorted, is not influenced by these extreme values and provides a better understanding of the typical housing price in the city.

Ultimately, the choice between mean and median depends on the specific characteristics of the data and the objective of the analysis. It is important to consider the distribution, presence of outliers, and the context in which the data is being interpreted.

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Answer:

the answer is 99

Step-by-step explanation:

Answer:

Step-by-step explanation:

Sum of all angles in a trapezium equals 360° and we two 90° angles so now,

\(90+90+x+(x-60)=360\\180+2x-60=360\\2x=360-180+60\\2x=180+60\\2x=240\\x=240/2\\x=120\)

so now the angles are 90°,90°,120° and 60° i also attached an image so you can understand better.

a) the probability that a randomly selected Cobalt gets more than 34 MPG is approximately 0.7149.

b) the probability that the mean MPG exceeds 34 MPG for a sample of 10 Cobalts is approximately 0.035.

c) the probability that the mean MPG exceeds 34 MPG for a sample of 20 Cobalts is approximately 0.005.

a) To find the probability that a randomly selected Cobalt gets more than 34 MPG, we need to calculate the area under the normal distribution curve to the right of 34 MPG.

Using the z-score formula, we can convert the MPG value to a standard score (z-score) using the formula:

z = (x - μ) / σ,

where x is the given value (34 MPG), μ is the mean (32 MPG), and σ is the standard deviation (3.5 MPG).

Calculating the z-score:

z = (34 - 32) / 3.5 = 0.57

Using a standard normal distribution table or a statistical calculator, we can find the area to the right of the z-score 0.57.

Let's assume the standard normal distribution table gives us a value of 0.2851 for z = 0.57.

Since the total area under the normal curve is 1, the probability of getting more than 34 MPG is:

P(X > 34) = 1 - P(X ≤ 34) = 1 - 0.2851 = 0.7149

Therefore, the probability that a randomly selected Cobalt gets more than 34 MPG is approximately 0.7149.

b) When selecting a sample of 10 Cobalts, the mean MPG of the sample (\(\bar{X}\)) follows a normal distribution with the same mean (32 MPG) and a standard deviation (σ) equal to the population standard deviation (3.5 MPG) divided by the square root of the sample size (√10).

σ( \(\bar{X}\) ) = σ / √n = 3.5 / √10 ≈ 1.107

We want to find the probability that the mean MPG exceeds 34 MPG for the sample of 10 Cobalts. In other words, we need to find P(\(\bar{X}\) > 34).

We can again convert the value of 34 MPG to a z-score:

z = (34 - 32) / 1.107 ≈ 1.805

Using a standard normal distribution table or a statistical calculator, we find the area to the right of the z-score 1.805.

Let's assume the standard normal distribution table gives us a value of 0.035 for z = 1.805.

Therefore, the probability that the mean MPG exceeds 34 MPG for a sample of 10 Cobalts is approximately 0.035.

c) When selecting a sample of 20 Cobalts, the mean MPG of the sample (\(\bar{X}\)) follows a normal distribution with the same mean (32 MPG) and a standard deviation (σ) equal to the population standard deviation (3.5 MPG) divided by the square root of the sample size (√20).

σ( \(\bar{X}\) ) = σ / √n = 3.5 / √20 ≈ 0.78

We want to find the probability that the mean MPG exceeds 34 MPG for the sample of 20 Cobalts. In other words, we need to find P(\(\bar{X}\) > 34).

Similarly, we can convert the value of 34 MPG to a z-score:

z = (34 - 32) / 0.78 ≈ 2.564

Using a standard normal distribution table or a statistical calculator, we find the area to the right of the z-score 2.564.

Assuming the standard normal distribution table gives us a value of 0.005 for z = 2.564.

Therefore, the probability that the mean MPG exceeds 34 MPG for a sample of 20 Cobalts is approximately 0.005.

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Shandra will decorate a surface area of 594 square inches on the box.

To calculate the surface area of the box, we need to find the area of each face and then sum them.

Looking at the net of the box, we can see that there are six faces:

The top face has dimensions 9 in by 12 in, so its area is 9 in * 12 in = 108 in².

The bottom face has the same dimensions as the top face, so its area is also 108 in².

The front face has dimensions 9 in by 9 in, so its area is 9 in * 9 in = 81 in².

The back face is identical to the front face, so its area is also 81 in².

The left face has dimensions 12 in by 9 in, so its area is 12 in * 9 in = 108 in².

The right face is the same as the left face, so its area is also 108 in².

To find the total surface area, we sum up the areas of all six faces:

Total surface area = 108 in² (top) + 108 in² (bottom) + 81 in² (front) + 81 in² (back) + 108 in² (left) + 108 in² (right)

= 594 in²

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Answer:

10 pounds

Step-by-step explanation:

given ratio weight:added weight=10:1

100:x=10:1

100/x=10/1

solving for x

100=10x

x=10

Answer:

D. It forms a linear pair with one of the interior angles of the triangle

Step-by-step explanation:

Hope it helps! Please mark Brainliest!

Answer:

The Answer is:

D. It forms a linear pair with one of the interior angles of the triangle.

Step-by-step explanation:

Answer:

0.09

Step-by-step explanation:

9/100 means 9 hundredths

The area of the field is 10,765.44 square meters.

Given that:

Diameter, d = 72 m

Width, W = 72 m

Length, L = 93 m

The area of a two - dimensional figure is the area that its perimeter encloses. The quantity of unit squares that occupy a closed figure's surface is its region.

The area of the field is calculated as,

A = (π/4)d² + W·L

A = (3.14 / 4) x 72² + 72 x 93

A = 4,069.44 + 6,696

A = 10,765.44 square meters

The area of the field is 10,765.44 square meters.

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Step-by-step explanation:

Outline four positive aspects of change

Answer:

p=2/3

Step-by-step explanation:

The value of p in the linear equation in one variable p - 3 1/6 = -2 1/2 is 2/3 or p = 2/3.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The equation is:

p - 3 1/6 = -2 1/2

To solve the above linear equation in one variable first convert mixed fraction to fraction:

p - 19/6 = -5/2

p = -5/2 + 19/6

Take LCM of 2 and 6

p = (-15 + 19)/6

p = (4)/6

p = 2/3

Thus, the value of p in the linear equation in one variable p - 3 1/6 = -2 1/2 is 2/3 or p = 2/3.

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The equation in standard form for the circle with center (5,0) passing through (5, 9/2) is 4x² + 4y² - 40x + 19 = 0

Given that

Center = (5, 0)

Point on the circle = (5. 9/2)

The equation of a circle can be expressed as

(x - a)² + (y - b)² = r²

Where

Center = (a, b)

Radius = r

So, we have

(x - 5)² + (y - 0)² = r²

Calculating the radius, we have

(5 - 5)² + (9/2 - 0)² = r²

Evaluate

r = 9/2

So, we have

(x - 5)² + (y - 0)² = (9/2)²

Expand

x² - 10x + 25 + y² = 81/4

Multiply through by 4

4x² - 40x + 100 + 4y² = 81

So, we have

4x² + 4y² - 40x + 19 = 0

Hence, the equation is 4x² + 4y² - 40x + 19 = 0

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Answer:

The elevator will travel 396 feet in 12 seconds.

Step-by-step explanation:

10 secs = 330ft

330/10 = 33

10 * 33 = 330

Hence,

12 * 33 = 396

12 secs = 396 ft

Hope this helps :)

Answer:

The answer is 396 feet per second.

Step-by-step explanation:

1) If it travels 330 feet in 10 seconds: 330 divided by 10 = 33 feet per second.

2) It travels at 33 feet per second, for 12, seconds, so then you just need to multiply 33 x 12, to get 396 feet per second, and that's your answer.

Hope this helps! Feel free to give me Brainliest if you feel this helped. Have a good day, and good luck on your assignment. :)

Answer:

a. 1/2

b. 1/2

c. 5/6

d. 1/6

Step-by-step explanation:

Here, we are going to base the probability of the next tests on what we have presently

we have 6 scores to work with

a. more than 70%

Scores above 70 are 3

So the probability will be 3/6 = 1/2

b. less than 70%

Scores below 70 are 3

So the probability will be 3/6 = 1/2

c. At least 60%

This means that 60 or more

scores here are 5

So the probability is 5/6

d. 80% marks

we have only 1 80%

so the probability is 1/6

Answer:

160.58

Step-by-step explanation:

Answer:

= -10.03 if u subtract if u add its =160.58

Step-by-step explanation:

Answer:

a)628 b)20

Step-by-step explanation:

a)

V=πr^2h

=3.14*5^2*8

b)V=πr^2h

=3.14*(4.1/2(2.05))*3.1

=3.14*2.05*3.1

=20 (nearest whole number)

Answer:

a) 628

b) 20

Step-by-step explanation:

1. Find circumference

2. Multiply by width

Answer:

82 + 0.6h = 85           and          h = 5

Step-by-step explanation:

hours = h

82 + 0.6h = 85

85 - 82 = 0.6h

3 = 0.6h

3/0.6 = h

h = 5

The line integral ∫[C] (Pdx + Qdy) over the given curve C consisting of the arc of the parabola y = x² from (0,0) to (1, 1), and the line segment from (1,1) to (0,1) is equal to 2/5.

What is integral?

The value obtained after integrating or adding the terms of a function that is divided into an infinite number of terms is generally referred to as an integral value.

To evaluate the line integral using Green's theorem, we need to find a vector field F = (P, Q) such that ∇ × F = Qₓ - Pᵧ, where Qₓ represents the partial derivative of Q with respect to x, and Pᵧ represents the partial derivative of P with respect to y.

Let's consider F = (P, Q) = (x²y², xy).

Now, let's calculate the partial derivatives:

Qₓ = ∂Q/∂x = ∂(xy)/∂x = y

Pᵧ = ∂P/∂y = ∂(x²y²)/∂y = 2x²y

The curl of F is given by ∇ × F = Qₓ - Pᵧ = y - 2x²y = (1 - 2x²)y.

Now, let's find the line integral using Green's theorem:

∫[C] (Pdx + Qdy) = ∫∫[R] (1 - 2x²)y dA,

where [R] represents the region enclosed by the curve C.

To evaluate the line integral, we need to parameterize the curve C.

The arc of the parabola y = x² from (0, 0) to (1, 1) can be parameterized as r(t) = (t, t²) for t ∈ [0, 1].

The line segment from (1, 1) to (0, 1) can be parameterized as r(t) = (1 - t, 1) for t ∈ [0, 1].

Using these parameterizations, the region R is bounded by the curves r(t) = (t, t²) and r(t) = (1 - t, 1).

Now, let's calculate the line integral:

∫∫[R] (1 - 2x²)y dA = ∫[0,1] ∫[t²,1] (1 - 2t²)y dy dx + ∫[0,1] ∫[0,t²] (1 - 2t²)y dy dx.

Integrating with respect to y first:

∫[0,1] [(1 - 2t²)(1 - t²) - (1 - 2t²)t²] dt.

Simplifying:

∫[0,1] [1 - 3t² + 2t⁴] dt.

Integrating with respect to t:

[t - t³ + (2/5)t⁵]_[0,1] = 1 - 1 + (2/5) = 2/5.

Therefore, the line integral ∫[C] (Pdx + Qdy) over the given curve C consisting of the arc of the parabola y = x² from (0,0) to (1,1), and the line segment from (1,1) to (0,1) is equal to 2/5.

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The height of the cylinder is \(3 inch\)

Based on the attached figure,

Volume of the cylinder = 282.7 square inches

Radius of the cylinder =5 inches.

The height of the cylinder = ?

The volume of the cylinder  can be found with the formula as :

\(V=pi r^{2} h\)

\(h=\frac{V}{pi r^{2} } \\\\h = \frac{282.7}{3.142 * 5^{2} } \\\\=3 inch\)

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The reduced gradient is analogous to the residual for linear models.

In linear regression, the residual represents the difference between the observed values and the predicted values of the dependent variable. Similarly, in optimization, the reduced gradient represents the difference between the current solution and the optimal solution. It is a measure of how far the current solution is from the optimal solution in the direction of the search. By minimizing the reduced gradient, we can move closer to the optimal solution.

The reduced gradient is a widely used optimization technique in non-linear programming that allows for efficient computation of the descent direction at each iteration while accounting for constraints. It involves calculating a partial derivative of the objective function with respect to the variables that are not restricted by the constraints, and then projecting the resulting gradient onto the space defined by the constraints. The resulting vector is called the reduced gradient, and it points in the direction of the steepest descent that is feasible.

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Answer:

The function is undefined whenever

x=2πn and x=π+2πn where n is an integer.

Step-by-step explanation:

Cot(x) = cos(x) / sin(x)

Since a/0 is undefined for each and every value of a, we want to find the points were sin(x) = 0.

Sin(x) = 0

x = sin-1(0)

x = 0, π

Since trig functions are periodic, that's to say

they go to infinity in both directions, we want to

find a general form solution.

The period of sin(x) is 2π

x=2πn and π+2πn , where n is an integer.

Answer:

the answer

the ratio x:y is 25:18

Step-by-step explanation:

we know that

the length of Q is 25% more than the length of p

so

length Q=1.25*40--------> 50 cm

the area of Q is 10% less than the area of p

Area Q=50*y

Area P=40*x

so

50*y=0.90*[40*x]---------> 50*y=36*x-------> x/y=50/36---> 25/18

Answer:

Lol mcm soalan kamu salah. Pilih A je

Step-by-step explanation:

Masukkan nilai tersebut dalam persamaan v = u + at,

42 = -8 + (-5)t

50 = -5t

t = -10

The most appropriate graph to construct for the given data table is a line graph. It shows how the miles change over time between each individual data point, allowing us to observe the relationship between the number of days and miles driven.

A line graph is a suitable choice in this scenario because it visually represents the relationship between the number of days and the miles driven over time. In a line graph, the x-axis represents the number of days, and the y-axis represents the miles driven. Each data point (number of days, miles driven) is plotted on the graph, and a line is drawn connecting these points.

By using a line graph, we can observe the trend or pattern in how the miles driven change as the number of days increases. We can see if there is a linear or non-linear relationship between the variables and how the miles driven vary over time. The line connecting the points helps us visualize the overall trend and identify any significant changes or patterns in the data.

In contrast, a scatter plot would simply show the individual data points without connecting them, making it more suitable for displaying the distribution or clustering of data rather than showing the change over time.

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Mrs. Pruitt's conclusion does not sound right because there were 96 soda cans in total.

Word problem is a topic in mathematics which deals with expressing a given statement in a mathematical form so as to determine the value of the unknown.

Analyzing the given statement in the question, we have;

Mrs. Pruitt bought 4 cases of soda which consists of 24 cans each.

Thus total cans of soda bought = 4 * 24

                                                     = 96

But after the party, 11 cans were left.

The number of soda cans used for the party = 96 - 11

                                                                    = 85

The total number of cans is therefore not 157. Thus her conclusion does not sound right.

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Answer:12+2y

Step-by-step explanation:Multiple the -2 by each value inside of the parenthesis, -2 * -6 = 12, -2 * -y = 2y, then add these together to get 12+2y.

Answer:

A=3

Step-by-step explanation:

-7a+28=7

subtract 28 from both sides to eliminate it from the first side

-7a=-21

Two negatives equals a positive

7a=21

divide both sides by 7

a=3

F; T; T; T; F; T; F; F;T; T. The rate of exchange between certain future dollars and current dollars is known as the forward exchange rate, not the pure rate of interest.

This statement accurately describes the concept of an investment, including the factors that compensate the investor. A dollar received today is worth more than the same dollar received in the future due to the time value of money. The three components mentioned (nominal interest rate, inflation premium, and risk premium) are indeed the components of the required rate of return. Financial intermediaries are not specifically related to primary capital markets. They facilitate transactions between savers and borrowers but may operate in various markets. Diversification with foreign securities can indeed help reduce portfolio risk by spreading exposure to different markets.

The total domestic return on German bonds is not the return experienced by a U.S. investor, as it would include exchange rate effects. A negative exchange rate effect for Japanese bonds would mean that the domestic rate of return is lower than the U.S. dollar return, not greater. The gifting phase and the spending phase can indeed be concurrent, such as when gifts are given for specific expenses. Long-term, high-priority goals often include working towards financial independence as a key objective.

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Answer:

37.2 liters

Step-by-step explanation:

1% of 40 is 0.4

0.4 * 7 = 2.8

40 - 2.8 = 37.2 liters

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