5, 14, 11, 16, 7, 5, 18, 9 What is the median?

Answer:

pooooooooooooooooooooooooooooooooooooooooooooooooooooooints

Step-by-step explanation:

sorry

The total number of sides of a regular polygon with each exterior angle of measure 30 degrees is equal to 12.

Let us consider 'n' be the number of sides of the regular polygon.

Let 'y' be the measure of each of the exterior angle of regular polygon.

y = 30 degrees

Measure of each of the exterior angle of regular polygon 'y'

= ( 360° ) / n

⇒ n = ( 360° / y )

Substitute the value we get,

⇒ n = ( 360° / 30° )

⇒ n = 12

Therefore, the number of sides of a regular polygon with each of the exterior angle 30 degrees is equal to 12.

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The above question is incomplete, the complete question is:

How many sides does a regular polygon have when each exterior angle measures 30 degrees?

First we rewrite it to have an equation equal to zero:

To complete the square we have to consider that a perfect square looks like:

In this equation we have in the second term 8x, so comparing it to the perfect square we have that c must be 4:

If the last term of a perfect square is c², we should have 16 instead of 7. To complete the square we have to add and substract 16:

Note that if we do that the equation remains the same.

Now if we look at the first 3 terms we can see a perfect square:

And now we add 9 on both sides of the equation:

The equation rewritten in complete square form is (x + 4)² = 9

Answer:

I may be wrong, but I believe the answer is $200.

The volume of the triangular prism is 216 cubic meters.

To find the volume of a triangular prism, we need to multiply the area of the triangular base by the length of the prism.

Calculate the area of the triangular base.

The base of the triangular face is given as 8 meters, and the height is 9 meters. We can use the formula for the area of a triangle: area = (1/2) * base * height.

Plugging in the values, we get:

Area = (1/2) * 8 meters * 9 meters = 36 square meters.

Multiply the area of the base by the length of the prism.

The length of the prism is given as 12 meters.

Volume = area of base * length of prism = 36 square meters * 12 meters = 432 cubic meters.

Adjust for the shape of the prism.

Since the prism is a triangular prism, we need to divide the volume by 2.

Adjusted Volume = (1/2) * 432 cubic meters = 216 cubic meters.

Therefore, the volume of the triangular prism is 216 cubic meters.

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Answer:

h= -2/7

Step-by-step explanation:

Simply simplify the equation:

2 = 4 + 7h

first get rid of the 4

2-4 = -2

so -2 = 7h

so h = -2/7

The best explanation for the rounding error in Alex's program is that the arithmetic operations on floating-point numbers resulted in a round-off error, as binary floating-point representation cannot represent the number 0.8 exactly. The correct option is D).

The best explanation for the result is that the arithmetic operations on floating-point numbers resulted in a round-off error. In most programming languages, floating-point numbers are represented using a finite number of bits, which can result in some rounding errors when performing arithmetic operations.

This can occur because some numbers cannot be represented exactly using the available bits. In this case, the number 0.8 cannot be represented exactly using binary floating-point representation, leading to a small rounding error.

While this error may seem insignificant, it can accumulate over multiple operations and lead to more significant errors in certain situations.

Therefore, it is important to be aware of the limitations of floating-point arithmetic when working with numerical data in programming. The correct option is D).

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The probability of each outcome is 1/12 or 0.083.

The probability of each outcome in the sample space can be calculated using the formula for permutations. The formula for permutations is nPk = n!/(n-k)!. In this case n is the number of gift cards (4) and k is the number of gift cards to be selected (2).  In this example, the sample space consists of 16 possible outcomes, and each outcome is equally likely. Thus, the probability of each outcome is 1/16. To calculate this, divide 1 by the total number of outcomes (16). This results in the probability of each outcome being 1/16.Therefore, nPk = 4P2 = 4!/2! = 12. Since each outcome is equally likely, the probability of each outcome is 1/12 or 0.083. This can be written as a fraction as 1/12 or as a decimal as 0.083.

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The graph of the solution of the system of equations is in the attachment which is the first graph

A system of equations is a pair of linear equations

Since we have the system of equations

y = -1/3x + 1

y = -2x - 3

We desire to find the graph of the solution of the system of equations. We proceed as follows.

To find the solution of the system of equations, we equate both expressions.

So, y = y

-1/3x + 1 = - 2x - 3

-1/3x + 2x = -3 - 1

5x/3 = -4

x = -4 × 3/5

x = -12/5

x = -2.4

So, substituting x into the first equation, we have that

y = -1/3x + 1

y = -1/3(-12/5) + 1

y = 4/5 + 1

y = 9/5

y = 1.8

So, the solution of the system of equations is the point (-2.4, 1.8)

Next, we plot the graph of both equations

y = -1/3x + 1

When y = 0

0 = -1/3x + 1

-1 = -1/3x

x = 3

When x = 0

y = -1/3(0) + 1

y = 0 + 1

y = 1

So, the intercepts are (3, 0) and (0, 1)

For y = -2x - 3

When y = 0

0 = -2x - 3

3 = -2x

x = -3/2

When x = 0

y = -2(0) - 3

y = 0 - 3

y = - 3

So, the intercepts are (-3/2, 0) and (0, - 3)

So, using the intercepts, we plot the graphs.

The graphs intercept at (-2.4, 1.8) which is the solution

The graph of the solution is in the attachment

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Answer:

Cone, Cylinder, Cone, the sum of two cones and a cylinder

Proof:

Answer:

26 are left-handed

Step-by-step explanation:

Answer:

First answer: 3

Second answer: 6

Each square you see on the cube you add +1 to get 3

But in total the cube has 6 faces

Answer:

You can see 3 faces

There are 6 faces in a cube

Answer:

4/5 book per hour

Step-by-step explanation:

In this question, we are to rewrite (2/5)/(1/2) as unit rate.

To write this as a unit rate, what we need to do

is to divide 2/5 by 1/2.

That means 2/5 divided by 1/2

Removing the division and replacing with multiplication will give 2/5 * 2/1 = 4/5 books/hour

Step-by-step explanation:

4/5 books/hour

Based on the information provided, 2 is not a solution of x>5 because a possible solution requires a number greater than 5.

Inequalities include symbols such as >, ≤, ≥, among others that should be interpreted correctly to solve the inequality. In this case, the symbol in the inequality is >, which means greater than. Based on this, the value of x should be greater than 5, for example, 7, 19, 2948, etc.

Therefore, 2 is not a solution to the inequality x>5 because a number greater than 5 rather than less than 5 is required to solve this expression.

Note: This question is incorrect and incomplete; here is the complete question:

Explain why 2 is NOT a solution of x>5

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Answer:

the polar form of z = 1 + √3i is 2(cos(π/3) + i * sin(π/3)).

Step-by-step explanation:

Answer:

Both A and D

Step-by-step explanation:

Not absolutely 100%, but I think it's the answer.

Answer:

answer is 1

Step-by-step explanation:

2(8x-6)<5 (x+1)

16x-6 < 5x+5

16x-5x <5+6

11x < 11

x <11%11

x <1

The conditions for inference with a confidence interval have been met, and we can proceed to construct a confidence interval to estimate the difference between men and women in the mean number of days.

What is confidence interval ?

A confidence interval is a range of values that is likely to contain the true value of a population parameter with a certain level of confidence.

To determine if the conditions for inference with a confidence interval have been met, we need to check the following assumptions:

Since the sample sizes are greater than 30 for both men and women, we can assume normality based on the Central Limit Theorem.

Also, since the samples are selected independently and randomly, the assumption of independence is met.

Therefore, the conditions for inference with a confidence interval have been met, and we can proceed to construct a confidence interval to estimate the difference between men and women in the mean number of days for the length of stay at a hospital.

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Answer:

10 small boxes and 12 large boxes

Step-by-step explanation:

Let x = number of large boxes

Let y = number of small boxes

We are told that;

volume of each small box = 6 cubic feet

volume of each large box = 22 cubic feet.

Total volume = 324 ft³

Thus;

6x + 22y = 324 - - - (eq 1)

We are told that 22 boxes of paper were shipped.

Thus; x + y = 22 - - - (eq 2)

Making x the subject in eq 2 gives;

x = 22 - y

Put 22 - y for x in eq 1;

6(22 - y) + 22y = 324

132 - 6y + 22y = 324

16y = 324 - 132

16y = 192

y = 192/16

y = 12

So, x = 22 - 12 = 10

As per the angle sum property of quadrilateral, then values of x is 245 and the value of y is 341

Angle sum property of quadrilateral:

The angle sum property states that the sum of all the angles of the quadrilateral is 360 degree.

Given,

The angles of the quadrilateral are 5x degrees, (4y minus 2 )degrees, (13x plus 10 )degrees, and 10y degrees.

Now we have to write and solve a system of linear equations to find the values of x and y.

While we looking into the given angles, then we get the values

=> 5x°

=> (4y - 2)°

=> (13x + 10)°

=> 10y°

We know that, the sum of all the angles of the quadrilateral is 360°.

So, it ca be written as,

=> 5x° + (4y - 2)° + (13x+ 10)° + 10y° = 360°

=> 18x° + 14y° - 8° = 360°

=> 18x° + 14y° = 354°

When we divide all of them by 2, then we get the equation as,

=> 9x° + 7y° = 177°

Now we have to rewrite the given equation as,

=> 9x° = 177° - 7y°

=> x° = (177° - 7y°)/9

Apply these value on the angles, then we get,

=> 13(177 - 7y)/9 = -10

=> 13(177 - 7y) = 90

=> -7y = -90 - 2301

=> 7y = 2391

=> 341

Then the value of x is

=> 245

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Answer:

D

Step-by-step explanation:

the sum of the 3 angles in Δ DEF = 180° , that is

∠ D + 90° + 35° = 180°

∠ D + 125° = 180° ( subtract 125° from both sides )

∠ D = 55°

------------------------

using the tangent and cosine ratios in the right triangle

tan35° = \(\frac{opposite}{adjacent}\) = \(\frac{DE}{EF}\) = \(\frac{DE}{12}\) ( multiply both sides by 12 )

12 × tan35° = DE , then

DE ≈ 8.40 ( to 2 dec. places )

--------------------------

cos35° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{EF}{DF}\) = \(\frac{12}{DF}\) ( multiply both sides by DF )

DF × cos35° = 12 ( divide both sides by cos35° )

DF = \(\frac{12}{cos35}\) ≈ 14.65 ( to 2 dec. places )

Answer: 10

Step-by-step explanation:

Answer:

predict the impact of removing snakes from this food web

Answer: