what is 20 percent of 200?

The exact answer without rounding is 166.276877527

The area of a hexagon can be calculated by finding the area of one of the six triangles that make it up by 6.

I added a picture below on how I got it and how it looked like!

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Please remember to revise this and make it in your own words if you want! I hope this helps you. -Doodle

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The graph of the system of inequalities is on the image at the end, we can see that one solution is 10 tables and 5 chairs.

We know that an online furniture store sells chairs for $100 each and tables for $350 each.

The store can ship at most 18 pieces, and the must sell no less than $3200

Then if we define:

c = number of chairs.

t = number of tables

Then the system of inequality is:

c + t  ≤ 18

c*100 + t*350  ≥ 3200

The graph of that system of inequalities can be seen below, the solutions are in the doble shaded region, then for example one solution is:

c = 5

t = 10

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The probability that the disease will be undetected in someone who has it when both tests are applied is about 0.075, or approximately 7.5%.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Since the two tests are independent, we can use the multiplication rule for independent events to find the probability that both tests fail to detect the disease in someone who has it:

P(both tests fail) = P(test i fails) × P(test ii fails)

P(test i fails) = 0.30 (as given in the problem)

P(test ii fails) = 0.25 (as given in the problem)

Substituting the values, we get:

P(both tests fail) = 0.30 × 0.25

P(both tests fail) = 0.075

Therefore, the probability that the disease will be undetected in someone who has it when both tests are applied is about 0.075, or approximately 7.5%.

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Answer:

y= 400(0.77)^x

Step-by-step explanation:

The value decreases by 23% from,400 to 308 in 1 year. so if this continues then the equation would be y=400(0.77)^x.

The 0.77 comes from decaying 23%, meaning 1-0.23 = 0.77

this is just a quick addition to the good reply above by "varnanaik"

so she bought it for 400 bucks, but hell a year later went down to 308?  Let's find the rate of depreciation

[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\dotfill & \$ 308\\ P=\textit{initial amount}\dotfill &\$400\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &1 \end{cases}[/tex]

[tex]308 = 400(1 - \frac{r}{100})^{1} \implies \cfrac{308}{400}=1-\cfrac{r}{100}\implies \cfrac{77}{100}=\cfrac{100-r}{100} \\\\\\ 77=100-r\implies r+77=100\implies r=\stackrel{ \% }{23} \\\\[-0.35em] ~\dotfill\\\\ A=400(1-\frac{23}{100})^x\implies A=400(1-0.23)^x\implies {\Large \begin{array}{llll} A=400(0.77)^x \end{array}}[/tex]

Therefore , the solution of the given problem of equation comes out to be y = (-1/5)x + 4 is the required equation.

The equivalent sign (=) is used in arithmetic equations to signify the equality of two propositions. It is shown that it is possible to compare various numerical factors by using mathematical techniques, which have served as manifestations of reality. For instance, the equal sign divides the number 12 even the solution y + 6 = 12 in two distinct portions. How many characters also are present from either end of such a character can be calculated. Conflicting symbol readings are prevalent.

Here,

The given equation of line j is y+5=5(x+5) which can be rewritten in slope-intercept form as y = 5x + 20.

Since line k is perpendicular to line j, the slope of line k will be the negative reciprocal of the slope of line j. The slope of line j is 5, so the slope of line k will be -1/5.

We are also given that line k includes the point (5,3). We can use this point and the slope of line k to find the equation of line k using point-slope form:

y - 3 = (-1/5)(x - 5)

Simplifying and rearranging, we get:

y = (-1/5)x + 4

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The angle of elevation from the stake up to the tent pole is, 54.55°.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

Given, A 19 ft rope is tied from the top of a tent pole, It is the hypotenuse length.

Also, The state is 11 feet away and it is the adjacent length.

We know, cos = adjacent/hypotenuse.

cos = 11/19.

Ф = cos⁻¹(0.58).

Ф = 54.55°.

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Answer:

2 lb

Step-by-step explanation:

Let x = number of pounds

Let c = cost

first orchard:

it costs $30 to rent a basket

pound of apples collected costs $5

c = 5x + 30

second orchard:

baskets are free

apples cost $20 per pound

c = 20x

We want the costs to be equal.

20x = 5x + 30

15x = 30

x = 2

Answer: 2 lb

The loop will keep executing infinitely, leading to an infinite loop.

What is for loop ?

For loop can be defined as, it run the given code in the given number of times , at first it intialises the value and than checks the condition and than increments or decrements the value.

Yes, the given for-loop is an infinite loop.

The loop condition j < 1000 is based on the variable j, which is initialized to 0, but j is never incremented or modified inside the loop. Therefore, the condition j < 1000 will always be true, and the loop will continue to execute indefinitely.

Although the variable count is being incremented inside the loop, it is not being used in the loop condition or in any other way that would cause the loop to terminate.

Hence, the loop will keep executing infinitely, leading to an infinite loop.

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Answer:

A graph is a visual representation of numerical data. Graphs provide a visual way to summarize complex data and to show the relationship between different variables or sets of data. Graphs are also an excellent way to demonstrate trends and relationships within the data.

Hope it helped!

Step-by-step explanation:

[tex] \sin(2 \alpha ) = 2 \sin( \alpha ) \cos( \alpha ) [/tex]

To find sin(a),

[tex] \sin( \alpha ) = \sqrt{1 - \cos {}^{2} ( \alpha ) } [/tex]

[tex] \sin( \alpha ) = \sqrt{1 - (0.6) {}^{2} } [/tex]

[tex] \sin( \alpha ) = \sqrt{0.64} [/tex]

Since sin is negative in the interval (270,360)

[tex] \sin( \alpha ) = - 0.8[/tex]

Now we can find sin(2a)

[tex]2( - 0.8)(0.6) = - 0.96[/tex]

2. The identity for cos(2x) is

[tex]2 \cos {}^{2} (x) - 1[/tex]

We know cos x is 0.6 so we get

[tex]2(0.6) {}^{2} - 1 = - 0.28[/tex]

part 3:

[tex] \tan(4x) = \frac{2 \tan(2x) }{1 - \tan {}^{2} (2x) } [/tex]

[tex] \tan(2x) = \frac{ \sin( 2x) ) }{ \cos(2x) } = \frac{ - 0.96}{ - 0.28} = 24[/tex]

So we end up getting,

[tex] \tan(4x) = \frac{2(24)}{1 - (24) {}^{2} } [/tex]

[tex] \tan(4x) = \frac{48}{1 - 576} [/tex]

[tex] \tan(4x) = - \frac{48}{575} [/tex]

Repost the question, I made a computational mistake.

Company can produce 130 bags of seedlings, 110 bags of general plotting and 50 bags of hardwood plants. The solution has been obtained by using linear equation.

What is a linear equation?

The degree of the linear equation is 1. It is very clear that linear equations with exponents greater than one lack variables. The equation for this graph yields a straight line.

Let S be the bags of seedlings, G be for general potting, and H be for hardwood plants.

It is given that each bag of seedling soil needs 2 units of sand, each bag of general soil needs 1 unit of sand, and each bag of hardwood soil needs 2 units of sand. We have 450 units of sand.

So, from this we get

2S + G + 2H = 450      ...(1)

Similarly, for units of loam and peat moss, we get the equations as

S + 2G + 2H = 450      ...(2)

S + G + 2H = 360         ...(3)

Now, on subtracting (3) from (2), we get

G = 110

On substituting this, we get

2S + 2H = 360    ...(4)

S + 2H = 230    ...(5)

S + 2H = 250    ...(6)

Now, we subtract (2) from (1), we get

S = 130

On substituting this in equation (5), we get

130 + 2H = 230

2H = 100

H = 50

Hence, company can produce 130 bags of seedlings, 110 bags of general plotting and 50 bags of hardwood plants.

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Answer:

To find the central angle of the sector that represents 64% of a circle graph, we can use the proportion:

64% (or 0.64) of the circle is to 360 degrees as x (the central angle of the sector) is to the angle we're trying to find.

Mathematically, we can write:

0.64/1 = x/360

Simplifying this expression, we get:

x = 0.64 x 360/1

x = 230.4

So the central angle of the sector that represents 64% of the circle graph is approximately 230.4 degrees. Rounded to the nearest degree, this is 230 degrees.

Step-by-step explanation:

Answer: $12.50

Step-by-step explanation:

10% of 12.50 is 1.25

add and get 13.75

Answer:

Step-by-step explanation:

The two shorter sides are 52 cm in length

The two longer sides are 1.5 times the length of the shorter sides

= 52 x 1.5 = 78 cm

The two longer sides are 78 cm in length

Now, just add all the sides

52 + 52 + 78 + 78 = 260

The perimeter is 260 cm.

Answer:

1750

Step-by-step explanation:

Answer:

Step-by-step explanation:

the anser is g(x)=1half5 xto the 2nd power

to determine the stability of the equilibrium solutions Consider the autonomous differential equation

dydt=f(y).

The equilibrium solutions are obtained by solving

f(y)=0 for y.

Let

c1,c2,⋯,cn

be the equilibrium solutions.

Plot

c1,c2,⋯,cn

on the real number line, and create a phase line using the signs of

f(y)

by drawing a left arrow on the interval where

f(y)<0

, and right arrows where

f(y)>0.

Use the phase line to determine the stability of the equilibrium solutions as follows.

If both arrows point toward the equilibrium solution, it is stable.

If both arrows point away from the equilibrium solution, it is unstable.

If one arrow points towards the equilibrium solution and one points away from it, it is semi-stable.

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The conversion of 28 inch to cm is 71.12 cm.

Kilometer (km) and mile are both units of distance or length, but they are used in different parts of the world.

A kilometer is a metric unit of length used in most countries outside the United States. It is defined as 1,000 meters, or approximately 0.62 miles.

To convert inches to centimeters, you can use the conversion factor of 1 inch = 2.54 centimeters.

So, to convert 28 inches to centimeters, you can multiply 28 by 2.54:

28 inches * 2.54 cm/inch = 71.12 cm

Therefore, 28 inches is approximately equal to 71.12 centimeters.

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The correct answer as per the video that demonstrates the Monty Hall Problem is option C. 20. That is how many times the men perform each strategy A and B.

Goats can be found behind two curtains and one behind each door.

Anytime a contestant selects a curtain, one of the certain to curtains informs the contestant that a goat was hiding behind all of this.

The contestant must choose one of two curtains, one of which has a car in it and the other of which has a goat on it. Therefore, there is an equal chance of. choosing either a goat or a car.

Similar to that, provided.

Probability A for strategies and tactics is 10%, or 2 out of every 20 trials.

80% of Strategy B's chance is equal to 16 accomplishments spread across 20 directions.

Thus,

16 success = 2 success + 2 success + 2 success + 2 success + 2 success + 2 success + 2 success + 2 success

Taking the common factor,

16 success = 8 (2 success)

Taking percentage on both sides,

80% = 8×10%

80% = 80%

Hence, the result value is as expected.

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Note that the full question is:

This video demonstrates the Monty Hall Problem, named after the host of the game show "Let's Make a Deal" that originally aired in the 1960s and 1970s. In this show, contestants picked one of three curtains, one of which had a car behind it and the other two had goats. After contestants chose a curtain, Monty Hall showed the contestant what was behind one of the two curtains the contestant had not chosen. Then he offered the contestant the option to switch her choice. The men in the video set up an experiment to compare the two strategies for playing this game. Strategy A is to stick with the original choice. Strategy B is to switch the choice. How many times do the men perform each strategy?

A. 3

B. 10

C. 20

D. 40

Answer:

The total surface area of the cuboid is 280.

Length: 5 cm

Width: 6 cm

Height: 10 cm

Total Surface Area of Cuboid = 2*((Length of Cuboid*Height of Cuboid)+(Height of Cuboid*Width of Cuboid)+(Length of Cuboid*Width of Cuboid))

SATotal = 2*((l*h)+(h*w)+(l*w)) --> 2*((5*6)+(6*10)+(5*10))

SATotal = 280

Answer:

4√3 or 6.9282Km

Step-by-step explanation:

Let the triangle be ABC, right angled at B

Angle A = 60 degrees

Angle C = 30 degrees

BC = 6 km

To find AB,

Tan30°=AB/BC

Now we know that tan30° is 1/√3 so,

1/√3 = AB / 6

6/√3 = AB

6√3/3 =AB

2√3 = AB

Now we have the value of two sides so we can use the Pythagoras Theorem to find the hypotenuse, which is g

AB² + BC² = AC²

(2√3)² + 6² = g²

12 + 36 = g²

48 = g²

Therefore g = √48km or 4√3km or 6.9282Km

Answer and Step-by-step explanation:

To find "b" and write the equation in standard form, we need to use the given points and the general form of the function:

h(x) = (1/b(x - h))³ + k

First, we can use the point (-5, -5):

-5 = (1/b((-5) - h))³ + k

Next, we can use the point (1, -2):

-2 = (1/b((1) - h))³ + k

Finally, we can use the point (-2, -3):

-3 = (1/b((-2) - h))³ + k

We can use these three equations to solve for "b" and "h". One way to do this is to subtract the third equation from the first equation, which gives:

2 = (1/b(3 - h))³

Taking the cube root of both sides and multiplying by b gives:

b³ = 1/8

b = 1/2

Now that we have found "b", we can use the second equation to solve for "h":

-2 = (1/2(1 - h))³ + k

Simplifying this equation and using the fact that k is a constant, we get:

-8 = (1 - h)³ + 8k

-1 = (1 - h)³ + k

We can use this equation along with the point (-5, -5) to solve for "h":

-5 = (1/2((-5) - h))³ + k

-5 = (1/2(-5 - h))³ + k

-5 = (1/2(-5 - h))³ + (-1/8)

-40 = (-5 - h)³

Taking the cube root of both sides and multiplying by -1 gives:

h = 5 - ∛(-40)

h = 5 + 2∛10

Now we have found "b" and "h", and we can use them to write the equation in standard form. First, we substitute the value of "b" into the general form of the function:

h(x) = (1/(1/2(x - (5 + 2∛10))))³ + k

Simplifying this expression and using the fact that k is a constant, we get:

h(x) = 8(x - (5 + 2∛10))³ + k

This is the equation in standard form. We could expand and simplify the expression further, but this is the final answer.

The third term in the expansion of [tex](cy - 3)^{4}[/tex] is c² times greater than the third term in the expansion of [tex](y - 3)^{4}[/tex].

A mathematical expression is made up of a statement, at least two integers or variables, and one or more arithmetic operations. This mathematical operation enables the multiplication, division, addition, or subtraction of numbers.

Now in the given question ,

When c = 1, we have:

[tex](y - 3)^{4}[/tex] =[tex]y^4 - 12y^3 + 54y^2 - 108y + 81[/tex]

When c > 1, we have:

[tex](cy - 3)^4 = c^4y^4 - 12c^3y^3 + 54c^2y^2 - 108cy + 81[/tex]

Expanding [tex](y - 3)^4[/tex] and [tex](cy - 3)^4[/tex], we can see that the third term in each expansion is:

[tex]54y^2[/tex] for [tex](y - 3)^4[/tex]

[tex]54c^2y^2[/tex] for [tex](cy - 3)^4[/tex]

To compare the third terms, we divide the third term in [tex](cy - 3)^4[/tex] by the third term in [tex](y - 3)^4[/tex]:

[tex](54c^2y^2) / (54y^2) = c^2[/tex]

So the third term in the expansion of [tex](cy - 3)^4[/tex] is c² times greater than the third term in the expansion of[tex](y - 3)^4[/tex].

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Answer:

Rational numbers and real numbers

205 lbs is approximately equal to 92.9864 kg  ( rounded to four decimal places )

The conversion factor to convert lbs to kilogram is 0.453592

1 lbs = 0.453592 kg

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

The mass in kg = The mass in lbs × conversion factor

Substitute the values in the equation

1 lbs = 0.453592 kg

205 lbs =  0.453592 × 205

Multiply the numbers

= 92.9864 kg ( rounded to four decimal places )

Therefore, 205 lbs is 92.9864 kg

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Answer:

To find your answer, you will divide 252  by 123, and then multiply it by 10:

252 / 12 = 21

21 * 10 = 210

210 soft drinks are required.

Step-by-step explanation:

Hope it helps! =D

Answer: Rounding to the nearest whole number, we can estimate that about 194 people should be expected to visit the Fiction and Literature section on Sunday.

Step-by-step explanation:

To estimate how many people to expect in the Fiction and Literature section on Sunday, we can assume that the proportion of visitors to each section remains the same as it was on Saturday.

First, we need to calculate the total number of visitors on Saturday:

433 (Youth Wing) + 335 (Social Issues) + 367 (Fiction and Literature) = 1135

Next, we can find the proportion of visitors to the Fiction and Literature section:

367 (Fiction and Literature) / 1135 (total visitors on Saturday) ≈ 0.323

We can use this proportion to estimate the number of visitors to the Fiction and Literature section on Sunday:

0.323 (proportion of visitors to Fiction and Literature) x 600 (total visitors on Sunday) ≈ 194

Rounding to the nearest whole number, we can estimate that about 194 people should be expected to visit the Fiction and Literature section on Sunday.

A line segment of length 8.6 cm, when bisected the length of each half is  4.3cm.

Draw a straight line and mark two points A and B that are 8.6 cm apart.

With A as centre and radius more than half of AB, draw arcs on both sides of AB.

With the same radius and B as centre, draw arcs on the both sides of AB, cutting the previous two arcs.

Label the intersection points of the two arcs as E and F.

Draw a straight line connecting points E and F. This is the line of symmetry and bisects the line segment AB.

The length of each part of the bisected line segment is equal. To measure the length of each part, we can use a ruler to measure the distance from point A to the intersection point C and from point B to the intersection point D. Each of these distances should be approximately 4.3 cm, which is half the length of the original segment.

we get: AC=BC=4.3 cm.

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____The given question is incomplete, the complete question is given below:

Draw a line segment of length 8.6 cm. Bisect it and measure the length of each part.  

(a) The probability of finding oil is 0.85

(b) The firm interpret the soil test as the probability of finding oil has decreased since the prior probabilities.

c) The revised probabilities is 100%.

A oil company has purchased an option on land in Alaska.

To determine the likelihood of finding oil, the company conducted preliminary geologic studies to assign prior probabilities of finding high-quality oil (0.65), medium-quality oil (0.20), or no oil (0.15). Therefore, the probability of finding oil is 0.65 + 0.20 = 0.85.

After 200 feet of drilling on the first well, a soil test was taken to determine the likelihood of finding high-quality oil (0.20), medium-quality oil (0.80), or no oil (0.20).

The results of this test should be interpreted as follows: the probability of finding oil has decreased since the prior probabilities.

Therefore, the revised probabilities are 0.20 + 0.80 = 1.00. This means that the oil company has a 100% probability of finding either high-quality or medium-quality oil.

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