Mathematics College

according to the law of sines, which of the following is equal to sin(B)/b

Answers

Answer 1

Answer:

[tex]\frac{sin(A)}{a}[/tex]

Related Questions

IREADYYYY...............................................

Answers

This is the equation that represents the situation: 3q + 7 = 40.

What is equation?

In mathematics, an equation is a statement that asserts the equality of two expressions, usually separated by an equals sign (=). An equation states that two expressions have the same value, and it provides a way to find the unknown values of variables by manipulating the expression using algebraic operations. Equations are used in a variety of fields, including physics, chemistry, engineering, economics, and many others, to model relationships and solve problems.

Here,

Let's call the length of the fourth side "x".

Since the three sides of the quadrilateral are the same length, we know that they are each equal to "q".

The perimeter of a quadrilateral is the sum of all its sides, so we can write:

q + q + q + x = 40

Simplifying, we get:

3q + x = 40

We also know that the length of the fourth side is 7 inches, so we can substitute that in for "x":

3q + 7 = 40

This is the equation that represents the situation.

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A business owner applies for a credit card to cover $15,000 in emergency expenses. The credit card charges 17.99% annual interest compounded continuously. If no payments are made for 2 years, what will the balance on the card be, rounded to the nearest penny?

$21,443.51
$21,495.64
$17,934.68
$17,956.46

Answers

Answer:

(b) $21,495.64

Step-by-step explanation:

You want to know the value of $15,000 after it has earned continuously compounded interest at 17.99% for 2 years.

Compound continuously

The value of an account earning interest at annual rate r compounded continuously is ...

A = P·e^(rt)

where P is the initial account value, and t is the number of years.

Application

In this problem, we have P=15000, r=0.1799, and t=2, so the amount due will be ...

A = $15,000·e^(0.1799·2) ≈ $21,495.64 . . . choice B

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Trisha is collecting books to donate. The table below shows the total number of books collected, b, for different number of weeks, w. Which equation represents the relationship between the number of weeks, w, and the number of books collected, b?

Answers

The equation representing the relationship between the number of weeks (w) and the number of books collected (b):

b = 10w + 0

b = 10w

How to solve

We can observe from the table that the number of books collected increases by 10 for each week.

Thus, there is a linear relationship between the number of weeks (w) and the number of books collected (b). We can represent this relationship using the equation:

b = mw + c

where b is the number of books collected, w is the number of weeks, m is the slope (rate of change), and c is the y-intercept (number of books collected at week 0).

The slope (m) is the change in the number of books collected per week, which is 10. We can now find the y-intercept (c) by substituting one of the points from the table into the equation. Let's use the point (1, 10):

10 = 10 * 1 + c

c = 0

Now we have the equation representing the relationship between the number of weeks (w) and the number of books collected (b):

b = 10w + 0

b = 10w

Answers

Answer:

C. The items have different y-intercepts and different rates of change

Step-by-step explanation:

Figure I shows a linear equation in the form y = mx + b, where "m" is the rate of change and "b" is the y-intercept. That means for y = 1/4 * x - 1/2, 1/4 is the slope and 1/2 is the y-intercept.

Figure II shows a table. The y-intercept is when x = 0, so look at where x = 0 is in the table and see the y-value which corresponds to it. The y-value in this case would be -0.25. To find the rate of change, assuming Table II is changing at a constant rate, subtract the subsequent y-value from a proceeding y-value and divide that by subtracting the corresponding x-values (any two sets of x and y-values should work): (3.75 - 7.75)/(-1 - -2) = -4/(-1 + 2) = -4/-1 = 4.

Thus, we know that the rates of change are different and the y-intercepts are different for both functions.

How many more calories should a person on a 2000 cal diet eat for veggies then from carbs

Answers

Hence, a person on a 2000 calorie diet should eat more calories approximate ratio of 200-300 calories from vegetables and 900-1300 calories from carbohydrates.

What is the calories?

A calorie is a measurement, just like a teaspoon or an inch. Calories are the amount of energy released when your body breaks down (digests and absorbs) food. The more calories a food has, the more energy it can provide to your body

How many calories take a person in vegetables and carbohydrates?

The number of calories a person should consume from vegetables versus carbohydrates depends on various factors such as age, gender, activity level, body composition, and overall health status. However, in general, it is recommended that a person on a 2000 calorie diet should consume more calories from vegetables than from carbohydrates.

The United States Department of Agriculture (USDA) recommends that adults consume 2.5 to 3 cups of vegetables per day, depending on their age, gender, and level of physical activity. On a 2000 calorie diet, this would amount to approximately 200-300 calories from vegetables.

For carbohydrates, the recommended intake varies depending on the individual's energy needs, but it generally accounts for 45-65% of their total calorie intake. This equates to 900-1300 calories from carbohydrates on a 2000 calorie diet.

Therefore, a person on a 2000 calorie diet should eat more calories from vegetables than from carbohydrates, with an approximate ratio of 200-300 calories from vegetables and 900-1300 calories from carbohydrates.

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The sets D and E are given below.
D=(-1.2.4, 5, 8)
E=(-2,2. 3, 4, 6)
Find the union of D and E.
Find the intersection of D and E.
Write your answers using set notation (in roster form).
DUI- D
DAE = D
X
Ø
Ś

Answers

Answer:

D∪E = {-2, -1, 2, 3, 4, 5, 6, 8}D∩E = {2, 4}

Step-by-step explanation:

You want the union and the intersection of the given sets D and E.

Union

The union of the two sets is the list of elements in either set. It will contain all of the elements of D along with all of the elements of E, with duplicate values removed so that each element is only listed once.

D∪E = {-2, -1, 2, 3, 4, 5, 6, 8}

Intersection

The intersection of the two sets is the list of elements that appear in both sets. Any element that only appears in one of the sets is not part of the union.

D∩E = {2, 4}

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6. What measurement do you need to calculate in order to determine the amount
of space each structure encloses? (1 point)

Answers

Hence,Volume measurement do you need to calculate in order to determine the amount of space each structure encloses .

What is the volume?

We take a measurement of a shape of volume arrangement to discover how much space are contain . The volume of a body is the amount of three - dimensional space that it surrounded and it can be determine by multiplying the shape of length , breath , and width or height.

How to find volume?

we can use the equation are Volume = Length x Width x Height to compute the volume of simple structure like as rectangular prisms. It may be necessary to divide more raised structures into simply shapes, determine the volume of each shape, and then add the volumes of each shape to determine the everywhere volume of the construction.

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A restaurant raises the price of its signature dish by 15%
The new price of the dish is 14.50

What was the original price of the dish?

Answers

Answer:

Therefore, the original price of the dish was $12.61.

Step-by-step explanation:

Let the original price of the dish be "x".

After raising the price by 15%, the new price becomes:

x + 0.15x = 1.15x

We know that the new price is $14.50, so we can set up the equation:

1.15x = 14.5

To solve for x, we can divide both sides by 1.15:

x = 14.5 / 1.15

x = 12.61 (rounded to two decimal places)

Let's say that the original price of the signature dish was x.

The problem tells us that the price was increased by 15%, which means that the new price is 1.15 times the original price:

1.15x = 14.50

To find the original price, we need to isolate x on one side of the equation. We can do this by dividing both sides by 1.15:

x = 14.50 ÷ 1.15

x = 12.61

Therefore, the original price of the dish was $12.61.

A student randomly selects a marble from a bag with 3 red marbles , 4 blue marbles, 2 green marbles, and 5 yellow marbles. How many outcomes are in the sample space?

Answers

There are a total of 14 possible outcomes, one for each marble in the bag.

How many outcomes are in the sample space?

The sample space is the set of all possible outcomes of an experiment. In this case, the experiment is selecting a marble from the bag.

There are 14 marbles in the bag in total.

When the first marble is selected, there will be 13 marbles remaining in the bag, then 12, then 11, and so on.

Therefore, the number of outcomes in the sample space is:

3 + 4 + 2 + 5 = 14

There are 14 possible outcomes, one for each marble in the bag.

Answers

a. 4. b > 0

If b is positive, then we know it will be greater than 0.

b. 1. s ≤ 0

If s is nonpositive, this means it is negative or 0. We will use a less than or equal to symbol.

c. 3. w ≥ -8

If w is greater than or equal to -8, we will use a greater than or equal to symbol.

PLS HELP DUE AT 11:59PM TODAY
Math mugshot….probability

Answers

The probability of spinning a number less than 5 is P =70%

How to find the probability?

To find the probability just take the quotient between the number of numbers that are smaller than 5, and the total amount in the spinner. That is because we assume that all the regions have the same individual probability of being spun.

There are 10 in total, and of these, 7 are smaller than 5, then the probability is:

P= 7/10 = 0.7

And to write as a percent, multiply it by 100%

0.67*100% = 70%

That is the probability.

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Suppose the odds for a bet are 11: 1. Your friend tells you that he thinks the odds are too generous. Select all of the odds that are less generous.

Select all that apply.
4:1
6:1
19:1
18:1

Answers

In the ratio, the odds that are less generous is C) 19:1 and D)18:1.

What is ratio?

When two numbers are compared, the ratio between them shows how often the first number contains the second. As an illustration, the ratio of oranges to lemons in a dish of fruit is 8:6 if there are 8 oranges and 6 lemons present.

Here odds for bets are 11:1.

That means if for every $1 you bets, you may wins $11.

There are [tex]\frac{1}{1+11}=\frac{1}{12}=8.33\%[/tex] chance of this happens.

If the friends thinks odds are too generous , then the odds that less than generous are,

=> for 4:1 then [tex]\frac{1}{1+4}=\frac{1}{5}= 20\%[/tex]

=> For 6:1 then [tex]\frac{1}{6+1}=\frac{1}{7}= 14\%[/tex]

=> For 19:1 then [tex]\frac{1}{19+1}=\frac{1}{20}=5\%[/tex]

=> For 18:1 then [tex]\frac{1}{18+1}=\frac{1}{19}=5.2\%[/tex]

Hence the odds that are less generous is C) 19:1 and D)18:1.

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The diameter of a child's bicycle wheel is 12 inches. Approximately how many revolutions of the wheel will it take to travel 1,200 meters? Use 3.14 for π and round to the nearest whole number. (1 meter ≈ 39.3701 inches)

Answers

Answer:

First, we need to convert 1,200 meters to inches:

1,200 meters * 39.3701 inches/meter = 47,244.12 inches

Next, we need to find the circumference of the wheel:

Circumference = π * Diameter

Circumference = 3.14 * 12 inches

Circumference = 37.68 inches

To find the number of revolutions, we can divide the total distance traveled (47,244.12 inches) by the distance traveled per revolution (37.68 inches):

47,244.12 inches ÷ 37.68 inches/revolution ≈ 1,254 revolutions

Rounding to the nearest whole number, it will take approximately 1,254 revolutions of the wheel to travel 1,200 meters on a child's bicycle.

First, we need to convert the diameter of the wheel from inches to meters:

12 inches = 12/39.3701 meters ≈ 0.3048 meters

The circumference of the wheel can be found using the formula:

circumference = π x diameter

circumference ≈ 3.14 x 0.3048 ≈ 0.9585 meters

To find the number of revolutions needed to travel 1,200 meters, we can divide the distance by the circumference:

number of revolutions ≈ 1200 / 0.9585 ≈ 1251.7

Rounding to the nearest whole number, we get:

number of revolutions ≈ 1252

Therefore, it would take approximately 1,252 revolutions of the wheel to travel 1,200 meters.

Q5: Triangle ABC ~ triangle DEF. Use the image to answer the question.

a triangle ABC with side AB labeled 11, side CA labeled 7.6 and side CB labeled 7.9 and a second triangle DEF with side DE labeled 2.2

Determine the measurement of DF.

DF = 1.58
DF = 1.52
DF = 1.1
DF = 5.5

Answers

We discard the negative solution, so EF = 8.725. Now we can substitute this value into the

How to solve the question?

To solve this problem, we can use the fact that if two triangles are similar, their corresponding sides are proportional.

We are given that triangle ABC is similar to triangle DEF. Therefore, we can set up the following proportion:

AB/DE = BC/EF = AC/DF

We are given the lengths of AB, AC, and BC, so we can substitute those values into the proportion:

11/DE = 7.9/EF = 7.6/DF

We are asked to find the length of DF, so we can isolate DF by cross-multiplying:

11EF = 7.9DE

7.6EF = 11DF

Now we can set the two expressions for EF equal to each other and solve for DF:

11EF = 7.9DE

11EF/7.9 = DE

1.39EF = DE

7.6EF = 11DF

DF = 7.6EF/11

Substitute the value of DE into the expression for EF:

DF = 7.6(1.39EF)/11

DF = 1.52EF

Now we need to find the value of EF. We can use the fact that the sum of the angles in a triangle is 180 degrees to find the measure of angle E:

angle E = 180 - angle D - angle F

We are not given the measures of angle D or angle F, so we cannot find angle E directly. However, we do know that triangles ABC and DEF are similar, so their corresponding angles are congruent. Therefore, we can use the measures of angles A, B, and C to find the measure of angle D:

angle D = angle A

angle D = 180 - angle B - angle C

Substitute the given values for angles A, B, and C:

angle D = 56.1 degrees

angle D = 116.9 degrees

We can use the Law of Cosines to find the length of EF:

EF²= DE² + DF²- 2(DE)(DF)cos(D)

EF²= 2.2² + (1.52EF)² - 2(2.2)(1.52EF)cos(D)

Substitute the two possible values for angle D:

EF²= 2.2²+ (1.52EF)² - 2(2.2)(1.52EF)cos(56.1)

EF²= 2.2²+ (1.52EF)² - 2(2.2)(1.52EF)cos(116.9)

Simplify both expressions:

EF²= 3.2596 + 2.3104EF²- 5.7024EF

EF²= 3.2596 + 2.3104EF² + 5.7024EF

Solve for EF using either equation:

-0.3104EF² + 5.7024EF - 3.2596 = 0

-0.3104EF² - 5.7024EF + 3.2596 = 0

Solve for EF using the quadratic formula:

EF = (-b ± √(b² - 4ac))/(2a)

EF = (-5.7024 ± √(5.7024² - 4(-0.3104)(-3.2596)))/(2(-0.3104))

EF = 8.725 or EF = -4.185

We discard the negative solution, so EF = 8.725. Now we can substitute this value into the

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Answer:

a. df = 1.52

Step-by-step explanation:

11 / 5 = 2.2

so... you divide the other number by 5

7.6 / 5 = 1.52

making the length of df, 1.52

hope this helps!!! :))))

jasmine said that commutative property always works for addition but never for subtraction

Answers

No, Jasmine is not completely correct. The commutative property states that the order of the numbers can be changed without affecting the result of the operation.

In addition, the commutative property is true: a + b = b + a for any two numbers a and b.

For subtraction, the commutative property is not true in general: a - b is not equal to b - a.

However, there are some special cases where the commutative property does hold true for subtraction. For example, if a and b are equal, then a - b = b - a.

So, in general, Jasmine's statement that the commutative property never works for subtraction is not correct. While it is true that the commutative property does not hold true for subtraction in the same way that it does for addition, there are some special cases where it does apply.

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what is 12 plus 12 and take away 67 and then add 24

Answers

Answer:

-19

Step-by-step explanation:

First you need to add all of the positive and negative numbers together, which would look like (12+12+24) + (-67) OR 48 + -67. Now add -67 to 48.

-67 + 48 is -19. Therefore the answer is -19.

IM SO SORRY IF THIS DID NOT MAKE SENSE!

Answer:12+12=24

24-67=-43

-43+24=-19

Step-by-step explanation:

Find the surface area of the figure

Answers

The surface area of the square pyramid given above would be = 400ft²

How to calculate the surface area of the given shape?

To calculate the surface area of the given figure, the formula that should be used would be = b² +2bs

where B = base length= 10ft

s = slant height= 15ft

Surface area = 100+2(10×15)

= 100+300

= 400ft²

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An area of land measures 735 metres by 756 metres. It is to be divided up into
square plots of equal size.
(a) What is the area of the largest squares that will fit on it?
(b) How many squares will fit on it?

Answers

Answer:

See below!

Step-by-step explanation:

Given:

Length = 735 meters

Width = 756 meters

Finding the area:

Area = length × width

Area = 735 × 756

Area = 555660 m²

Part a)

To find the area of largest square, we first need to find the highest common factor of 735 and 756.

HCF of 735 and 756:

= 21

This means the length of largest square will be 21 m.

Now,

Area of largest square:

= length × length

= 21 × 21

= 441 m²Part b)

No. of squares = Total area / Area of largest square

No. of squares = 555660 / 441

No. of squares = 1260 squares

[tex]\rule[225]{225}{2}[/tex]

A slow pitch softball diamond is actually a square 60' on side how far is it from home to 2nd base

Answers

Answer:

The distance from home to second base is approximately 84.85 feet in a slow pitch softball diamond that is 60 feet on each side.

Step-by-step explanation:

In a softball diamond that is 60 feet on each side, the distance from home to second base is approximately 84.85 feet. This is based on the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. In this case, the distance from home to second base forms the hypotenuse of a right triangle with legs that are each 60 / sqrt(2) feet long. Using the Pythagorean theorem, we can calculate that the distance from home to second base is approximately 84.85 feet.

C 17 39 511 -U D 28 4 10 6

Answers

Answer:

I'm sorry, but I'm not sure what you are trying to convey with the string of characters "C 17 39 511 -U D 28 4 10 6". It doesn't appear to be a meaningful sentence or question. Could you please provide me with more information or context so I can better understand what you are trying to communicate?

Step-by-step explanation:

Consider the graph of f(x) = (1/2)^x
Each graph shows the result of a transformation applied to function f where f(x) = (1/2)^x

Answers

1) The graph of function g is graph W because it is result of a vertivcal compression applied to graph f.

2) The graph of function g is graph X because it is result of a horizontal shift applied to graph f.

3) The graph of function g is graph Y because it is result of a reflection over y-axis applied to graph f.

4) The graph of function g is graph Z because it is result of a horizontal compression applied to graph f.

Here, a transformation applied to function f where f(x) = (1/2)^x

Consider graph W. We can observe that when the the graph of f(x) is compressed vertically then it will results in the graph of g(x)

Consider graph X. We can observe that if the the graph of f(x) is shifted horizontally right by 2 units then it will results in the graph of g(x)

Consider graph Y. We can observe that the the graph of g(x) is nothing but the reflection of f(x) over x-axis.

Consider graph Z. We can observe that when the the graph of f(x) is compressed horizontally then it will results in the graph of g(x)

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Find an Euler path for the graph. Enter your response as a sequence of vertices in the order they are visited, for example, ABCDEA.

Answers

The given graph's Euler path is represented as a series of vertices visited in the following order: EBADCFEACBE.

What is Euler's path?

A path in a finite graph known as an Euler path is one that traverses each edge precisely once while yet allowing for the revisiting of vertices.

A similar Euler trace that begins and finishes at the same vertex is known as an Euler circuit or cycle. When Leonhard Euler found a solution to the Seven Bridges of Konigsberg puzzle in 1736, it was first brought up for discussion.

A path known as an Euler path is one that utilises every edge in the graph once and only once. It doesn't have to return to the starting point because it is a path. A circuit that utilises every edge in the diagram once is known as an Euler circuit. As it is a circle, it should start and terminate at the same vertex.

If a graph has no more than two vertices of odd degree, it has an Euler path.

If every vertex has an even degree, the graph has an Euler circuit.

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y’all which one is it cus ion kno

Answers

The answer to this problem is A

The function h(x) = 2|x| is a transformation of the absolute value parent function, f(x) = |x| which graph shows h(x)

Answers

The graph of the function h(x) is then added as an attachment

Selecting the graph that best shows the function h(x)

From the question, we have the following parameters that can be used in our computation:

h(x) = 2|x|

Also, we have

f(x) = |x|

When the function f(x) = |x| is compressed by a factor of 2, we do the following

We multiply 2 to the function equation

So, we have

h(x) = |x| * 2

Evaluate

h(x) = 2|x|

This means that the transformed function is passes through (x, 2y) of the original function

The graph of the function h(x) is then added as an attachment

Answers

Thus, the height of the cylinder for the given volume and radius is found to be 10 ft.

Explain about the solid cylinder:

Objects in three dimensions are represented by solid shapes. Search the area! Solid shapes include any other three-dimensional object, such as a laptop, phone, ice cream cone, balls, etc.

On a three-dimensional plane, a cylinder is a solid shape. It maintains a set spacing between two circular, parallel bases that are connected by a curved surface (like a tube).

Given that:

volume of cylinder V = 502 cu. ftRadius r = 4 ft

The formula for the volume of cylinder V:

V = πr²h

Put the values:

502 = 3.14*4²*h

502 = 3.14*16*h

h = 502 / 50.2

h = 10 ft

Thus, the height of the cylinder for the given volume and radius is found to be 10 ft.

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Complete question:

Find the missing dimension of the given solid.

The figure is attached.

Show that the circles touch each other internally.

Answers

This shows that the two circles intersect at a point P, and that the distance between their centers, OP1OP2, is less than the sum of their radii, r1 + r2. Thus, the two circles touch each other internally at point P.

How can you demonstrate how two circles internally contact one another?

You must calculate each circle's radius and centre in order to accomplish this. The circles will externally touch if the total of the radii and the space between the centres are identical. The circles will internally touch if the variations in radii and the separation between their centres are equal.

Let C1 and C2 stand for the two circles, with O1 and O2 serving as their respective centres. Let r1 and r2 represent the radius of C1 and C2, respectively.

Let's say that point P is where the two circles converge. The Pythagorean Theorem thus gives us:

OP1² = r1²

OP2² = r2²

OP1² + OP2² = (r1 + r2)²

Simplifying the third equation, we get:

OP1² + OP2² = r1² + 2r1r2 + r2²

The left half of this equation can be rewritten as (OP1 + OP2)2 - 2OP1OP2. When we simplify the equation above and substitute this, we get:

(OP1 + OP2)² = (r1 + r2)² + 2OP1OP2

Since OP1 and OP2 are both positive, we have:

(OP1 + OP2)²> (r1 + r2)²

Therefore, we must have:

OP1OP2 < r1 + r2

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if x=4,then find the size of 2x+5-3x

Answers

The size of the expresssion 2x + 5 - 3x when x = 4 is 1.

What is the size of the given expression if x equal 4?

Given the expression in the question:

2x + 5 - 3x

Also, x = 4

The expression 2x + 5 -3x is an algebraic expression that involves the variable x.

When we substitute x = 4 into the expression, we replace every occurrence of x with 4.

Hence

2x + 5 -3x

Replace x with 4

2(4) + 5 - 3(4)

8 + 5 - 12

Add 8 and 5

13 - 12

Subtract 12 from 13

Therefore, when x=4, the size of 2x + 5 - 3x is 1.

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any help? i dont seem to understand which radius of circle is.

Answers

First of all, radius is half the diameter. Radius is from the center-most point of a circle straight to the edge.

Answer:

The area of the whole object is 1,237.68 m^2 (meters squared).

Step-by-step explanation:

The circles are equal to:

π * d = a

3.14 * 12 = a

37.68 = a.

Now, since the circles are half in the rectangle, it would be easier to calculate the rectangle using these halves, so the total of the half-circles outside the rectangle is equivalent to a whole circle, or 37.68. Now, let's calculate the rectangle:

20 * (30 * 2) = a

20 * 60 = a

1200 = a.

The whole area is equivalent to the area of the two half-circles and the area of the rectangle:

37.68 + 1200 = a

1237.68 = a

what is the MAD of 2,4,4,2

Answers

The mad would be 1. Hope this helps

Lanzamos 1000 veces un dado de 6 caras. Calcula la probabilidad de obtener entre 400 y 500 veces un 6.

Answers

La probabilidad de obtener entre 400 y 500 veces un 6 en 1000 lanzamientos es de 0.

Calculando la probabilidad

Este es un problema de distribución binomial con una probabilidad de éxito del evento (obtener un 6 en un lanzamiento de un dado de 6 caras) de 1/6.

Podemos utilizar una aproximación normal para la distribución binomial si el número de ensayos es grande y la probabilidad de éxito es moderada.

La aproximación normal para una distribución binomial se define como:

Z = (X - μ) / σ

donde X es el número de éxitosμ es el valor esperado de Xσ es la desviación estándar de X.

El valor esperado de X es:

μ = n * p = 1000 * 1/6 = 166.67

La desviación estándar de X es:

σ = √(n * p * (1-p)) = √(1000 * 1/6 * 5/6) = 11.79

x = 400: z = (X - μ) / σ = (400 - 166.67) / 11.79 = 19.79

x = 500: z = (X - μ) / σ = (500 - 166.67) / 11.79 = 28.27

La probabilidad de obtener entre 400 y 500 éxitos se puede calcular utilizando la tabla de distribución normal estándar o una calculadora de probabilidad normal.

P(400 ≤ X ≤ 500) = P(19.79 ≤ z ≤ 28.27) = 0

Por lo tanto, la probabilidad de obtener entre 400 y 500 veces un 6 en 1000 lanzamientos es de aproximadamente 0.