10x - 12 = ??? plz help me out ❤

Q1 = median(2,4,4,5,7,8) = (4+5)/2 = 4.5

The third quartile (Q3) is the median of the 7th through 12th values:

Q3 = median(8,9,12,15,17,28) = (12+15)/2 = 13.5

Thus, the first quartile is 4.5 and the third quartile is 13.5.

The mean of the given data is:

mean = (2+4+4+5+7+8+8+9+12+15+17+28)/12 = 10.5

Thus, the mean is 10.5.

To find the quartiles and median, we first need to order the data:

2, 4, 4, 5, 7, 8, 8, 9, 12, 15, 17, 28

The median is the middle value of the ordered data. Since we have 12 data points, the median is the average of the 6th and 7th values:

median = (7+8)/2 = 7.5

To find the quartiles, we need to divide the ordered data into four equal parts. Since we have 12 data points, the first quartile (Q1) is the median of the 1st through 6th values:

Q1 = median(2,4,4,5,7,8) = (4+5)/2 = 4.5

The third quartile (Q3) is the median of the 7th through 12th values:

Q3 = median(8,9,12,15,17,28) = (12+15)/2 = 13.5

Thus, the first quartile is 4.5 and the third quartile is 13.5.

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The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.

A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.

B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.

\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.

That leaves \(27-14=13\) matches. These represent the matches team lost.

Finally, the answers are below.

\(A)29\)
\(B)13\)

Answer:

  a) 29 points

  b) 13 losses

Step-by-step explanation:

You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.

The number of points the team has is ...

  P = 3W +D

  P = 3(8) +(5) = 29

The team has 29 points.

You want the number of losses the team has if it has 54 points and 12 draws after 39 games.

The number of wins is given by ...

  P = 3W +D

  54 = 3W +12

  42 = 3W

  14 = W

Then the number of losses is ...

  W +D +L = 39

  14 +12 +L = 39 . . . substitute the known values

  L = 13 . . . . . . . . . . subtract 26 from both sides

The team lost 13 games.

__

Additional comment

In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)

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Answer:

All graphs tell a story and include a title and labels that describe the data.

Sorry I couldnt find the rest of it.

Answer:

(-8(-4) + 3) - 7 = 32

Step-by-step explanation:

-8 * -4 = 8 * 4 = 36

36 + 3 = 39

39 - 7 = 32

the equation of the line tangent to f(x) = -2sin(x) at x = 34π is y = -2x + 68π + 2sin(34π).

To find the equation of the line tangent to the function f(x) = -2sin(x) at x = 34π, we need to find the slope of the tangent line at that point, and then use the point-slope form of the equation of a line.

The slope of the tangent line is equal to the derivative of the function at x = 34π. We can find the derivative of f(x) using the chain rule:

f'(x) = -2cos(x)

Therefore, f'(34π) = -2cos(34π) = -2.

This means that the slope of the tangent line is -2 at x = 34π.

To find the equation of the tangent line, we also need a point on the line. Since the tangent line passes through the point (34π, f(34π)), we can use this point as the point-slope form of the equation of the line:

y - f(34π) = m(x - 34π)

Substituting the values we have found, we get:

y - (-2sin(34π)) = -2(x - 34π)

Simplifying, we get:

y = -2x + 68π + 2sin(34π)

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y = -1/3x + 1

y = -2x - 3

We can compare the equations to the graphs and see which graph represents the intersection point of the two equations.

The first equation, y = -1/3x + 1, has a negative slope (-1/3) and a y-intercept of 1.

The second equation, y = -2x - 3, also has a negative slope (-2) and a y-intercept of -3.

Based on the slopes and y-intercepts, we can identify the correct graph by finding the point where the two lines intersect.

Unfortunately, since the graphs are not provided, I am unable to determine which specific graph shows the solution to the system of linear equations. I recommend referring to the graph representation of the equations and identifying the intersection point to determine the correct graph.

Answer:

Step-by-step explanation:

A repeating decimal or recurring decimal is decimal representation of a number whose digits are periodic (repeating its values at regular intervals) and the infinitely repeated portion is not zero.

For this case 4/11 are

0.36 36 36 36 36 36 36 36 36

it repeating 36  36

so 4/11 are repeating decimal

Answer:

\( \frac{4}{11} = 0.3636\)

Step-by-step explanation:

The remainders repeat in a pattern and the quotient also repeats in blocks of two. So, 4/11 = 0.3636, Which

36 repeats, In this case, 36 is the repeating pattern.

The linear relationship between the different possible combinations of X and Y is Y= -X + 18.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

We know that after sleeping for 6 hours, there are 18 hours left in a day. These 18 hours can be split between leisure time and study time.

Now,

Let's let X be the number of hours of leisure time, and Y be the number of hours of study time.

Since we know that there are a total of 18 hours,

we can set up the following equation.

X + Y = 18

This equation represents all the possible combinations of X and Y that add up to 18 hours.

Now,

To represent a linear relationship between X and Y.

Y = -X + 18

This equation represents a linear relationship between X and Y.

Where X is the independent variable and Y is the dependent variable.

This is in the form of a slope-intercept form.

y = mx + c

Where m = -1 and c = 18

So,

The slope = -1 and the y-intercept is 18.

Thus,

Y= -X + 18 represents all the different possible combinations of leisure time and study time that adds up to 18 hours.

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The complete question.

After sleeping 6 hours a day, you have 18 hours left, which you can divide between study and leisure. X represents the hours dedicated to leisure and the variable Y the hours of study. Represent the linear relationship between the different possible combinations of X and Y.​

Answer:

13 cups of water.

Step-by-step explanation:

6.5 x 2 = 13

Answer = 13.

Hope this helps!

Btw, brainliest if correct, thanks!

Answer:

A

Step-by-step explanation:

\( { \sqrt[n]{x} }^{m} = {x}^{ \frac{m}{n} } \)

⁴√ x⁵ = x^[5/4]

Answer:

The intersection points are (-1,0) and (10,0)

Step-by-step explanation:

Brainliest if i am right? uwu

The point that is located 1/5th of the distance from point x to point z is (8/5, -29/5).

To find the point that is located 1/5th of the distance from point x to point z, we need to calculate the coordinates of the point that lies on the line segment connecting point x (2, -6) and point z (0, 5).

First, we find the distance between points x and z using the distance formula:

Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Distance = sqrt((0 - 2)^2 + (5 - (-6))^2)

= sqrt(4 + 121)

= sqrt(125)

= 5sqrt(5)

Next, we find 1/5th of the distance:

1/5 * Distance = 1/5 * 5sqrt(5) = sqrt(5)

Now, we can find the coordinates of the point that is located 1/5th of the distance from point x to point z by moving 1/5th of the distance from point x towards point z.

To do this, we calculate the differences in the x-coordinate and y-coordinate separately:

Δx = (1/5) * (0 - 2) = -2/5

Δy = (1/5) * (5 - (-6)) = 11/5

Now, we add these differences to the coordinates of point x to find the final coordinates of the desired point:

Point = (2 + Δx, -6 + Δy)

= (2 - 2/5, -6 + 11/5)

= (8/5, -29/5)

Therefore, the point that is located 1/5th of the distance from point x to point z is (8/5, -29/5).

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Answer:

\(\boxed {\tt 13.75 \ yards}\)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean Theorem.

\(a^2+b^2=c^2\)

where \(a\) and \(b\) are the legs and \(c\) is the hypotenuse.

One of the legs is 10 yards, and the other is unknown. The hypotenuse is 17 yards, because it is the longest side.

\(a= 10 \ yd\\b=b\\c= 17 \ yd\)

Substitute the values into the formula.

\((10 \ yd)^2+b^2=(17 \ yd)^2\)

Evaluate the exponents.

\(100 \ yd^2+b^2= (17 \ yd)^2\)

\(100 \ yd^2+b^2= 289 \ yd^2\)

Now, solve for b. First, subtract 100 yards squared from both sides of the equation.

\(100 \ yd^2-100 \ yd^2+b^2= 289 \ yd^2- 100 \ yd^2\)

\(b^2=289\ yd^2-100 \ yd^2\)

\(b^2=189 \ yd^2\)

Finally, take the square root of each side of the equation.

\(\sqrt{b^2} =\sqrt{189\ yd^2}\)

\(b=\sqrt{189 \ yd^2}\)

\(b=13.7477271 \ yd\)

Round to the nearest hundredth. The 7 in the thousandth place tells us to round the 4 to a 5.

\(b \approx 13.75 \ yd\)

The other side of the garden is about 13.75 yards long.

Answer:

numerator - 4

denominator - 3

Step-by-step explanation:

6 × 2/9

12/9

4/3

The coordinates where the wood strips cross are (17.11,44). The solution is obtained using the concept of slope of line.

What is slope of line?

The change in y coordinate relative to the change in x coordinate is referred to as a line's slope in mathematics.

The symbols delta y and delta x stand for the net change in the y-coordinate and the net change in the x-coordinate, respectively.

We are given that Hana attaches thin strips of wood from each vertex perpendicular to the opposite edge.

Therefore, the point of concurrency will be in orthocenter.

We are given a triangle with coordinates X(0,0), Y(0,58), Z(36,44)

Now, we will find the slope

Slope(m) = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

Slope of XY = (58-0)/0-0 = 0

Slope of YZ = (44-58)/(36-0) = -7/18

We know that slope of line perpendicular to XY is 0

Using point slope form, equation of the altitude perpendicular to XY is

⇒\(y-y_{1} = m(x-x_{1} )\)

⇒y-44 = 0(x-36)

⇒y=44

Slope of line perpendicular to YZ is 18/7

Using point slope form, equation of the altitude perpendicular to YZ is

⇒y-0 = 18(x-0)/7

⇒y = 18x/7

Substitute the value of y in the above equation, we get

⇒44 = 18x/7

⇒x = 17.11

Hence, the coordinates where the wood strips cross are (17.11,44).

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To find the constants m and b in the linear function f(x) = mx + b, we can use the given conditions f(7) = 9 and a slope of -3.

The value of f(7) represents the y-coordinate of the point on the line when x = 7. So, substituting x = 7 into the equation, we get 9 = 7m + b.

The slope of a linear function is given by the coefficient of x, which in this case is -3. So, we have m = -3.

Now, we can substitute the value of m into the equation obtained from f(7). We get 9 = 7(-3) + b, which simplifies to 9 = -21 + b.

Solving for b, we find b = 30.

Therefore, the constants for the linear function f(x) = mx + b that satisfy the given conditions are m = -3 and b = 30.

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Equation shows that Tom's indirect utility function V(p, w) is convex in p, as desired.

V(λ\(p1\) + (1-λ)\(p2\), w) ≤ λV(\(p1\), w) + (1-λ)V(\(p2\), w)

To prove that Tom's indirect utility function V(p, w) is convex in p, where p is the price vector and w is the wealth, we need to show that for any two price vectors p1 and p2, and for any λ ∈ [0,1], the following inequality holds:

V(λ\(p1\) + (1-λ)\(p2\), w) ≤ λV(\(p1\), w) + (1-λ)V(\(p2\), w)

To prove this, we can use the concept of homothetic preferences.

Homothetic preferences imply that the utility function is homogeneous of degree zero, meaning that multiplying prices and income by the same positive constant does not affect the consumer's preferences.

Let's assume Tom's utility function is U(x), where x represents the consumption bundle.

Tom's indirect utility function can be defined as:

V(p, w) = max { U(x) | px ≤ w }

Now, consider two price vectors p1 and p2, and let x1 and x2 be the optimal consumption bundles for p1 and p2, respectively.

Since U(x) is homogeneous of degree zero, we have:

U(λ\(x1\)+ (1-λ)\(x2\)) = U(x1 + λ(x2 - x1)) = U(x1) [using homogeneity]

From the definition of the indirect utility function, we know that V(p, w) = U(x), where x is the consumption bundle that maximizes U(x) subject to the budget constraint.

Therefore, we have:

V(λp1 + (1-λ)p2, w) = U(x1) [since λx1 + (1-λ)x2 is the optimal consumption bundle for λp1 + (1-λ)p2]

Now, let's consider the right-hand side of the inequality:

λV(p1, w) + (1-λ)V(p2, w) = λU(x1) + (1-λ)U(x2) [using the definition of the indirect utility function]

Since U(x1) = U(x2) (as shown above), we can simplify the right-hand side:

λV(p1, w) + (1-λ)V(p2, w) = U(x1)

Therefore, we have:

V(λp1 + (1-λ)p2, w) ≤ λV(p1, w) + (1-λ)V(p2, w)

This shows that Tom's indirect utility function V(p, w) is convex in p, as desired.

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Answer:

2,323. 13 dollars

141.472 N of drag force is applied in 1.6m wide and 1.4m high car travelling at 10m/s

Drag force is the net force in the direction of flow experienced by any item moving through a fluid and is caused by pressure and shear stress forces acting on the surface of the object.

Formula of drag force is given by:

\(F_d = \frac{1}{2}C_dAPv^2\)

where

\(F_d\) = drag force (N)

\(C_d\) = drag coefficient (1.05 for moving car)

P = density of fluid (1.2 kg/m3 for air at NTP)

v = flow velocity (m/s)

A = characteristic frontal area of the body

A = height * width

=> 1.6*1.4

so A=2.24 \(m^2\)

and v=10 m/s

so \(F_d\) = 1/2* 1.05 * 2.24 *( 1.2 *10*10)

=> 0.5*1.05*2.24 *122

=> 143.472 N

so \(F_d\)  = 143.472 N

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a base can never be a negative value, therefore the answer is 7. Sorry if im wrong

Answer:

15

Brainiest plz :)

Answer:

15

Step-by-step explanation:

20-12=6

15-9=6

The floor area of the engineer's model of the sugar factory is 10.825 square feet.

To determine the floor area of the engineer's model of a sugar factory in square feet, we need to convert the given measurements from inches to feet. Since there are 12 inches in a foot, we can divide both dimensions by 12 to convert them.

The length of the model in feet is 30 inches / 12 = 2.5 feet, and the width is 52 inches / 12 = 4.33 feet.

To find the floor area, we multiply the length by the width:

Area = Length × Width

= 2.5 feet × 4.33 feet

= 10.825 square feet

It's important to note that the given measurements are not a standard aspect ratio or scale for a sugar factory. The given dimensions may be scaled down for the model's convenience, so the calculated floor area is only applicable to the scale of the model.

In actuality, a sugar factory would have much larger dimensions.

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Answer:

Volume = 12

Step-by-step explanation:

Answer:

12cm³

Step-by-step explanation:

L=3cm

W=2cm

H=2cm

Volume=L*W*H

Volume =3*2*2

=12 cm³

The value of x from the given equation is 7.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is ∛(4x-1)-7=-4.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here, ∛(4x-1)-7=-4

∛(4x-1)=3

Cubing on both side of an equation, we get

(∛(4x-1))³=3³

4x-1=27

4x=28

x=7

Therefore, the value of x is 7.

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Answer:

The selling price of the bag is $22.5

Step-by-step explanation:

Buying Price = $25,

Selling Price = ?

Since they sold it at a loss of 10%,

So, they sold it for a price 10% less than the buying price,

or at 90% or 0.9 of the buying price,

so,

Selling Price = (0.9)(25) = $22.5

Answer:

so to mu calculation I prideict your answer is 10

There is sufficient evidence to conclude that the population standard deviation is different from 0.1.

What is test statistic?

A test statistic is a figure obtained from a statistical analysis. It explains how far your observed data is from the null hypothesis, which states that there is no correlation between the variables or distinction between the sample groups.

Given,

            \(H_0:\sigma =0.1\\H_a:\sigma \neq 0.1\)

Test statistic:

Chi square=(20-1)*0.25^2/0.1^2=118.75

df=20-1=19

p-value=CHIDIST(118.75,19)=0.0000

Reject the null hypothesis.

Hence, there is sufficient evidence to conclude that the population standard deviation is different from 0.1.

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Answer:

r = 3 mm

Step-by-step explanation:

The radius is 1/2 of the diameter.

r = 1/2 d

r = 1/2(6)

r = 3 mm