A group of 6 students was asked, "How many hours did you watch television last week?" Here are their responses: 10, 5, 18, 9, 17, 12 Find the median and mean number of hours for these students. If necessary, round your answers to the nearest tenth.

Answer:y = 4x-5.

Step-by-step explanation:

The midpoint of the given line in coordinate form (x, y) is -0.5, 0)

The midpoint of a line is the middle of the given line. Given the coordinate points (x1, y1) and (x2, y2), the midpoint of the line is given as:

M(x, y) = {x1+x2/2, y1+y2/2}

Given the coordinate points on the line (-2, 1) and (1, -1)

Substitute the given coordinate points into the formula to have:

M(x, y) = {-2+ 1/2, 1-1/2}

M(x, y) = {-1/2, 0/2}
M(x, y) =(-0.5, 0)

Hence the midpoint of the given line in coordinate form (x, y) is (-0.5, 0)

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After selling x pints of Boldly Buttered Popcorn icecream and y pints of Lovely Lavender Lemon on the charged of $10 for each, his profit equation is written as P = 6x + 6y = 6( x + y).

We have, Mr. McCoy's new ice cream shop. He sold two flavors of icecream. He sold his Boldly Buttered Popcorn ice cream and his Lovely Lavender Lemon ice cream. The quantity of sold Boldly Buttered Popcorn ice cream = x pints

The quantity of sold Lavender Lemon ice cream = y pints

Cost of each pint of ice cream = $4

Selling price of each pint of ice cream

= $10

First, total pints of icecream he sold

= pints of Boldly Buttered Popcorn ice cream+ pints of Lavender Lemon ice cream = ( x + y) pints

Now, Cost of (x + y) pints of ice cream

= $4 ( x + y)

Similarly, selling price of ( x + y ) pints of icecream = $ 10 ( x + y)

As we know, when selling price is greater than cost price then profit will occur. Equation for profit P = selling price - cost price = $ 10 ( x + y) - $4 ( x + y)

= 10 x + 10y - 4x - 4y

P = 6(x + y)

Hence, required equation is 6x + 6y.

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Complete question:

Mr. McCoy's new ice cream shop is doing great! Last month, he sold out of his Boldly Buttered Popcorn ice cream and his Lovely Lavender Lemon ice cream. He sold x pints of Boldly Buttered Popcorn and y pints of Lovely Lavender Lemon. Each pint cost him $4 to make, and he charged $10 for each. Write an equation for his profit or loss on ice cream selling.

Answer:

∠ ABD = 20°

Step-by-step explanation:

since BD bisects ∠ ABC , then

∠ ABD = ∠ CBD ( substitute values )

3x - 1 = 34 - 2x ( add 2x to both sides )

5x - 1 = 34 ( add 1 to both sides )

5x = 35 ( divide both sides by 5 )

x = 7

Then

∠ ABD = 3x - 1 = 3(7) - 1 = 21 - 1 = 20°

Answer:

yo no se pero ahorita yo te ayudo

Answer:

See answers below

Step-by-step explanation:

Given the function:

f(x) = 0.15x + 900

a) f(80) = 0.15(80) + 900

f(80) = 12 +  900

f(80) = 912

b)  f(120) = 0.15(120) + 900

f(120) = 18 +  900

f(120) = 918

c) f(200) = 0.15(200) + 900

f(200) = 30 +  900

f(200) = 930

d)  f(56) = 0.15(56) + 900

f(56) = 8.4 +  900

f(56) = 908.4

Answer:

Michelle's age = 16

Step-by-step explanation:

As we know,

Amount = \(P (1 + r)^{t}\) where

P = Principal amount

r = rate of interest

t = time

Given ,

P = $1000

r = 4.5 % = \(\frac{4.5}{100} = 0.045\)

Now,

Given that Amount reaches more than $2000

⇒\(P (1 + r)^{t}\)  > 2000

⇒\(1000(1 + 0.045)^{t}\) > 2000

⇒\((1.045)^{t}\) > 2

Now,

we put the value of t from 0 , 1, 2, ..... untill the above equation does not satisfy

Now,

for t = 0

\((1.045)^{0} = 1 \ngeq 2\)

for t = 1

\((1.045)^{1} = 1.045 \ngeq 2\)

for t = 2

\((1.045)^{2} = 1.092 \ngeq 2\)

for t = 3

\((1.045)^{3} = 1.14 \ngeq 2\)

for t = 4

\((1.045)^{4} = 1.19 \ngeq 2\)

for t = 5

\((1.045)^{5} = 1.25 \ngeq 2\)

for t = 6

\((1.045)^{6} = 1.30 \ngeq 2\)

for t = 7

\((1.045)^{7} = 1.36 \ngeq 2\)

for t = 8

\((1.045)^{8} = 1.42 \ngeq 2\)

for t = 9

\((1.045)^{9} = 1.48 \ngeq 2\)

for t = 10

\((1.045)^{10} = 1.55 \ngeq 2\)

for t = 11

\((1.045)^{11} = 1.62 \ngeq 2\)  

for t = 12

\((1.045)^{12} = 1.69 \ngeq 2\)

for t = 13

\((1.045)^{13} = 1.77 \ngeq 2\)

for t = 14

\((1.045)^{14} = 1.85 \ngeq 2\)  

for t = 15

\((1.045)^{15} = 1.93 \ngeq 2\)

for t = 16

\((1.045)^{16} = 2.02 > 2\)

It satisfies at t= 16

∴ we get

Michelle's age = 16

Using the center-of-gravity technique, the best site location for the new distribution center in Charlotte is determined to be at coordinates (X, Y) = (27.92, 19.08).

The center-of-gravity technique is used to find the optimal location for a facility based on the distribution of demand. In this case, we will calculate the weighted average of the coordinates (X, Y) of the three sites, with the weights being the number of weekly packages flowing to each site.

To calculate the X-coordinate of the center of gravity, we use the formula:

Xc = (X1 * W1 + X2 * W2 + X3 * W3) / (W1 + W2 + W3)

Similarly, for the Y-coordinate:

Yc = (Y1 * W1 + Y2 * W2 + Y3 * W3) / (W1 + W2 + W3)

Substituting the given values:

Xc = (16 * 26000 + 35 * 12000 + 40 * 10000) / (26000 + 12000 + 10000) ≈ 27.92

Yc = (28 * 26000 + 10 * 12000 + 18 * 10000) / (26000 + 12000 + 10000) ≈ 19.08

Therefore, the best site location for the new distribution center in Charlotte is approximately at coordinates (X, Y) = (27.92, 19.08) based on the center-of-gravity technique.

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At the instant when the volume of the sphere is 6161 cm³, the rate of change of the surface area of the sphere is 68.5 cm² per minute.

The formula for the volume of the square is:

V = 4/3 πr³

Take the derivative with respect to t (time):

dV/dt = 4 πr² dr/dt

At an instant, the volume of the square is 6161 cm³

6161  = 4/3 πr³

r³ = (3/4) x 6161 / π = 1,470

r = 11.37 cm

dV/dt = 4 πr² dr/dt

399 = 4 π (11.37)² dr/dt

dr/dt = 0.24 cm/minute

The surface area of a sphere is:

A = 4 πr²

dA/dt =  8 πr dr/dt

          = 8 π (11.37) (0.24) = 68.5

Hence, the rate of change of the surface area of the sphere is 68.5 cm² per minute.

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Using the binomial probability concept, the probability that Arias team will win exactly 2 games in the series is 0.3087

Recall this binomial probability relation :

\( P(x = x) = nCx \times p^{n} \times q^{n-x} \)

For exactly 2 wins :

\( P(x = 2) = 5C2 \times 0.3^{2} \times 0.7^{3} = 0.3087\)

Hence, the probability of exactly 2 wins is 0.3087

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A two-tailed test is a hypothesis test in which the rejection region is option (B) in both tails of the sampling distribution

The hypothesis test is defined as the statistic approach checking the results of a research study support a particular theory when we apply that result to population

A two-tailed test is a hypothesis test that defined in which the critical area of the distribution is two sided, so the sample will be greater than or less than a certain range of values

Therefore, the rejection region of a two-tailed test is a hypothesis test is in both tails of the sampling distribution.

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9514 1404 393

Answer:

  (a) The function that is represented by the equation y=-10x+6 has a steeper slope and a greater y-intercept

Step-by-step explanation:

If we take the "steepness" of the slope to be the absolute value of the slope, then the line y=-10x +6 has a slope with a steepness of 10.

The line y -36 - 8(x -4) has a slope with a steepness of 8, so the first line is steeper.

The line y=-10x+6 has a y-intercept of 6. The line y-36 =8(x -4) has a y-intercept of 4, so the first line has a higher y-intercept.

The appropriate description of the two lines is ...

  The function that is represented by the equation y=-10x+6 has a steeper slope and a greater y-intercept

Answer:

-2

Step-by-step explanation:

hope i helped!

Answer:

The answer is - 2

Step-by-step explanation:

5-7= - 2

Answer:

 Slope = -2.000/2.000 = -1.000

 x-intercept = -5/1 = -5.00000

 y-intercept = -5/1 = -5.00000

The partial derivative of r with respect to t at (0, 4) is e/4.

To find the partial derivative of r with respect to t, we need to hold the variable s constant and take the derivative of r with respect to t. The derivative of tes/t with respect to t is es/t^2. Since we are holding s constant at 0, we can replace s with 0, so we have e0/t^2 which simplifies to 0. Therefore the partial derivative of r with respect to t at (0, 4) is 0.

On the other hand, to find the partial derivative of r with respect to s, we need to hold the variable t constant and take the derivative of r with respect to s. The derivative of tes/t with respect to s is te/t. Since we are holding t constant at 4, we can replace t with 4, so we have 4e/4 which simplifies to e/4. Therefore the partial derivative of r with respect to s at (0, 4) is e/4.

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Therefore, there are 18 oranges in each box.

An equation is a mathematical statement that shows that two expressions are equal to each other. It typically consists of two sides separated by an equal sign (=), with mathematical expressions or variables on each side. Equations can be used to describe many different relationships and properties in mathematics, science, and engineering.

Here,

To represent the relationship described in the problem, we can use the following model or diagram:

4 boxes with b oranges per box, plus 1 free orange = 73 oranges in total

This can be written as the equation:

4b + 1 = 73

To solve for b, we need to isolate it on one side of the equation. We can start by subtracting 1 from both sides to get:

4b = 72

Then, we can divide both sides by 4 to get:

b = 18

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The probability that the proportion of tickets sold in a sample of 865 tickets would differ from the population proportion by greater than 3% would be 0.0456, rounded to four decimal places.

By using the following formula, we can find the standard error in the population:

SE = √(p(1-p)/n),

where p is population proportion and n is sample size.

Since p = 0.2 and n = 865 in this instance, Therefore,

SE = √(0.2 × 0.8 / 865) = 0.015.

The z-score is then determined by dividing (0.03 - 0) by 0.015, which is 2.

We can determine that the likelihood of receiving a z-score larger than 2 or less than -2 is around 0.0456 using a conventional normal distribution table.

So, the likelihood that the proportion of tickets sold in a sample of 865 tickets would deviate from the general proportion by more than 3% is roughly 0.0456, rounded to four decimal places.

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Answer:

0, 4, |5|, |-13|

Step-by-step explanation:

|-13|=13

The inequality solved to give a solution of x ≥ 1 and x ≤ -3 is |x + 1| ≥ 2.

b = 1, ≥

From the diagram, the solution to the inequality is x ≥ 1 and x ≤ -3

Hence:

|x + b| ≥ 2

x + b ≥ 2 or -(x + b) ≥ 2

x ≥ 2 - b or x ≤ -2 - b

2 - b = 1 and -2 - b = -3

b = 1

Hence |x + 1| ≥ 2

The inequality solved to give a solution of x ≥ 1 and x ≤ -3 is |x + 1| ≥ 2. b = 1, ≥

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Answer:

g = 8

Step-by-step explanation:

3g - 6 = 18

     +6   +6

3g = 24

divide by 3

g = 8

Answer:

The answer is G = 8

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Hoped this helped!

Brainly, Please?

your swing is about 5% longer than your friend's swing.The ratio of the lengths of your swing and your friend's swing can be found using the formula:

(number of cycles completed) / (length of swing)

Let L be the length of your friend's swing, then your swing is (L + x) where x is the extra length.

For your swing, 15 / (L + x) = 1
For your friend's swing, 14.3 / L = 1

Solving for L and x, we get:
L = 14.3
x = 0.7

Therefore, the ratio of the length of your swing to the length of your friend's swing is:
(L + x) / L = (14.3 + 0.7) / 14.3 = 1.05.

So your swing is about 5% longer than your friend's swing.

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The height of the cylinder is 10.81 cm and the radius of the cylinder is 5.41 cm

The volume of the cylinder can = 1000 cubic cm

Consider the height of the cylinder as h and the radius of the base is r

Volume of the cylinder = π\(r^2\)h = 1000

h = 1000 / π\(r^2\)

The surface area of the cylinder

A = 2π\(r^2\) + 2πrh

A = 2π\(r^2\) + 2πr(1000 / π\(r^2\) )

A = 2π ( \(r^2\) + 1000 / π\(r^2\))

Differentiate the terms

A' =  2π (2r + 1000 / π\(r^3\))

When the minimum surface area

2π (2r + 1000 / π\(r^3\)) = 0

r = \((1000/2\pi )^\frac{1}{3}\)

r = 5.41 cm

Then,

h =  1000 / π\(r^2\)

= 1000 / (π × 5.41 × 5.41)

= 1000 / 91.94

= 10.87 cm

Hence, the height of the cylinder is 10.81 cm and the radius of the cylinder is 5.41 cm

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Answer:

60 seconds

Step-by-step explanation:

The number of terms in the given arithmetic sequence is n = 10. Using the given first, last term, and the common difference of the arithmetic sequence, the required value is calculated.

The general form of the nth term of an arithmetic sequence is

an = a1 + (n - 1)d

Where,

a1 - first term

n - number of terms in the sequence

d - the common difference

The given sequence is an arithmetic sequence.

First term a1 = \(1\frac{1}{2}\) = 3/2

Last term an = \(2\frac{1}{2}\) = 5/2

Common difference d = 1/9

From the general formula,

an = a1 + (n - 1)d

On substituting,

5/2 = 3/2 + (n - 1)1/9

⇒ (n - 1)1/9 = 5/2 - 3/2

⇒ (n - 1)1/9 = 1

⇒ n - 1 = 9

⇒ n = 9 + 1

∴ n = 10

Thus, there are 10 terms in the given arithmetic sequence.

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Disclaimer: The given question in the portal is incorrect. Here is the correct question.

Question: If the first and the last term of an arithmetic progression with a common difference are \(1\frac{1}{2}\), \(2\frac{1}{2}\) and 1/9 respectively, how many terms has the sequence?

Answer:

one i have is samurai flamenco

Step-by-step explanation:

its cool to me

Answer:

personally I think Death Parade is underrated.

Step-by-step explanation:

You should watch it

The two vectors parallel to QP with a length of 3 are:

v1 = (2/sqrt(29), -5/sqrt(29)) and v2 = (6/sqrt(29), -15/sqrt(29)).

To find two vectors parallel to QP with a length of 3, we need to determine the direction of the vector QP and then scale it to the desired length.

The vector QP can be obtained by subtracting the coordinates of point P from those of point Q:

QP = Q - P = (3, -4) - (1, 1) = (2, -5).

To obtain a vector parallel to QP with a length of 3, we can normalize QP (divide it by its magnitude) and then scale it to the desired length.

The magnitude of QP is given by:

|QP| = sqrt((2)^2 + (-5)^2) = sqrt(29).

The normalized vector of QP, let's call it v1, is:

v1 = QP / |QP| = (2/sqrt(29), -5/sqrt(29)).

To obtain a vector parallel to QP with a length of 3, we can scale v1 by a factor of 3:

v2 = 3 * v1 = (6/sqrt(29), -15/sqrt(29)).

Therefore, the two vectors parallel to QP with a length of 3 are:

v1 = (2/sqrt(29), -5/sqrt(29)) and v2 = (6/sqrt(29), -15/sqrt(29)).

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Answer:

Step-by-step explanation:

i cant give you an exact answer but look up the formula for trapezoid and look up the formula for triangle and you will get your answer.

Answer:  Area 89m^2

Step-by-step explanation:

To find the area of the rectangle we multiply

Base * Height = Area

8 * 13 = 104

Now we find the area that isn't shaded

I inference that the base of the triangle is 5m  

5 * 6 = 30

Now divide that by 2

30/2 = 15

Subtract 15 from 104

104 - 15 = 89m^2