A spinner is divided into 8 equal regions, numbered 9 through 16. An arrow is spun and lands on one of the numbers. What are the odds of the arrow landing on a number that is greater than 15?

A.
0.625

B.
0.875

C.
0.375

D.
0.125

Answers

Answer 1

D.0.125

What is probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1.

Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means.

You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.

Step by Step Exlaination:

A spinner is divided into 8 parts.

Numbered as 9 to 16.

S={9,10,11,12,13,14,15,16}

n(S)=8.

A:probability of getting reater than 15.

A={16}

m(A)=1

p(A)=m(A)/n(S).

      = 1/8.

      =0.125

p(A)=0.125

Probability of getting greater than 15 is 0.125

Learn more about this question here:

https://brainly.com/question/2684863

#SPJ1


Related Questions

2x + 3y= 7
-2x+4y=14

Answers

Answer: (- 1, 3 )

Step-by-step explanation:

Kristen's dry cleaning fee was $32.75 for 5 pairs of pants.

What is the unit price?


$0.65 per pair of pants


$5.00 per pair of pants


$6.55 per pair of pants


$32.75 per pair of pants

Answers

The unit price is $6.55 per pair of pants

How to calculate the unit price of the pants?

Kristen's dry cleaning charge a fee of $32.75 for 5 pairs of pants

The unit price of the pants can be calculated as follows

32.75= 5

x= 1

Cross multiply both sides

5x= 32.75

x= 32.75/5

x= 6.55

Hence the unit price of the pants is $6.55

Read more on unit price here

https://brainly.com/question/29018348

#SPJ1

The unit price for the cleaning fee is $6.55 per pair of pants

What is an equation?

An equation shows the relationship between numbers and variables in an expression.

Unit rate is the ratio of two quantities. The denominator of a unit rate is always equal to one.

Kristen's dry cleaning fee was $32.75 for 5 pairs of pants. Hence:

Unit price = total cleaning fee / number of pants

Substituting values gives:

Unit price = $32.75/5 pairs of pants = $6.55 per pair of pants

The Unit price is $6.55 per pair of pants

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Students in a school are asked to pick either football, rugby or tennis to play in their lesson. The number of students who picked football and rugby are in the ratio of 3:2 The number of students who picked rugby and tennis are in the ratio of 8:17 51 students picked tennis. Work out how many students picked football

Answers

The number of students who chose football exists 38.5.

What is meant by ratios?

A ratio is a tool for comparing like-kind quantities or illustrating relationships between them. To compare similar items, we employ ratios.

It's crucial to keep in mind that the ratio of one value to another is the same as the real value in relation to the other when calculating values using supplied ratios.

The percentage of students that chose rugby and tennis is listed as 8:17, which means that out of every 25 students (8 + 17), 8 chose rugby and 17 chose tennis. The ratio of 17 would now be replaced by the value 51 as the total number of students who picked tennis was 51. Although we do not yet know the total number of people that choose rugby, we can draw down an equation as shown below;

17/25 = t/x

Where t is the number of tennis players as represented by ratio 17 and x is the total number of both tennis and rugby players as represented by 25.

By cross multiplication we now have

17 × x = 25 × 51

x = (25 × 51)/17

Simplifying the above equation, we get

17x = 1275

x = 75

If 84 students participate in both rugby and tennis, but only 57 of them play tennis, the number of rugby players is calculated as follows.

Let the equation be r = x - t

simplifying the equation, we get

r = 75 - 51

r = 24

Given that 25 students participated in rugby and that the proportion of football players to rugby players is 3:2, the relationship can be mathematically stated as follows;

3/5 = r/y

Where r is the total number of rugby players and y is the total number of both football and rugby players

2/5 = 25/y

By cross multiplication you now have

y = 62.5

If the total number of football and rugby players is 63 and out of these 27 play rugby only, then the number of football players is derived as;

f = y - r

f = 62.5 - 24

f = 38.5

Therefore the number of students who chose football is 38.5.

To learn more about ratios refer to:

https://brainly.com/question/12024093

#SPJ4

Rebekah and Mohammad have $125 saved up already with their clothing business. For every shirt they sell, they make $12 and for every hat they make $9. How many of each did they sell if they sold 22 pieces of clothing and their total saved at the end of the day is $350, including the savings they started with?

Answers

Rebecca and Mohammed sold 16 shirts and 6 hats.

How to evaluate for each number of shirt and hats sold

To solve this problem, we can write an equation on the information provided. Let x be the number of shirts sold and y be the number of hats sold. Such that:

x + y = 22 {the total number of pieces sold}

12x + 9y = 350 - 125 {the total profit, including the savings they started with}

We can solve for one variable in terms of the other using the first equation:

x = 22 - y

Then we can substitute this expression into the second equation:

12(22 - y) + 9y = 350 - 125

Simplifying this equation:

264 - 12y + 9y = 350 - 125

y = 6

Therefore, Rebecca and Mohammed sold 6 hats and 16 shirts

Know more about sold items here:https://brainly.com/question/24951536

#SPJ1

What is the function f/x )= x2 called?

Answers

The function f(x) = x² is called  as the quadratic function.

In math the term function is called as the relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output.

Here we need to identify the function type of the given function f(x) = x².

As we all know that the polynomial function with one or more variables in which the highest exponent of the variable is two is known as quadratic function.

The general form of the quadratic function is written as,

=>  f(x) = ax² + bx + c

where the value of a ≠ 0.

Based on the general form we have identified that the given function

=> f(x)  = x²

is known as the quadratic function.

To know more about function here.

https://brainly.com/question/28193995

#SPJ4

F(x) = - square root of x—5+10

Answers

To find the domain of the function F(x) = - √x—5 +10, we need to find the set of x-values for which the expression inside the square root is defined. The expression inside the square root is x - 5. For the square root of a real number to be defined, that number must be non-negative, so x - 5 ≥ 0, or x ≥ 5. Therefore, the domain of the function is x ≥ 5.

What is an example of a domain and range?

Think about the relationship (0,7,0,8,(1,7,(1,8,(1,9),(2,10)). The relation is shown in this case as a set of sorted pairs. The set of x -coordinates, 0, 1, and 2, and the set of y -coordinates, 7, 8, 9, and 10, define the domain and range, respectively.

To find the range of the function F(x) = - √x—5 +10, we need to find the set of y-values that the function can output. The function starts with the square root of x-5, which is always non-negative, and then subtracts it from -5 and adds 10. Therefore, the range of the function is all real numbers y, such that y ≥ 10.

So the domain of the function F(x) = - √x—5 +10 is x ≥ 5 and the range of the function is y ≥ 10.

Learn more about domain and range

https://brainly.com/question/2264373

#SPJ1

Identify the graph that displays the altitude of a skydiver as he is taken up in a plane and then jumps. a. A graph has time on the x-axis and altitude on the y-axis. A line increases, is horizontal, and then decreases. c. A graph has time on the x-axis and altitude on the y-axis. A line increases slowly and then decreases rapidly. b. A graph has time on the x-axis and altitude on the y-axis. A line is horizontal and then decreases. d. A graph has time on the x-axis and altitude on the y-axis. A line increases, is horizontal, increases, and then decreases rapidly.

Answers

The graph that displays the altitude of a skydiver as he is taken up in a plane and then jumps:

A graph has time on the x-axis and altitude on the y-axis.

The correct option is A.

What is graph?

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.

The relationships between two or more items are frequently represented by the points on a graph.

Given:

We have a graph.

The graph is given in the attached image.

From the graph;

A graph has time on the x-axis and altitude on the y-axis.

Therefore, x-axis shows the time and y-axis shows altitude.

To learn more about the graph;

https://brainly.com/question/23680294

#SPJ1

Help please will mark brainlist ​

Answers

Answer:

60, pi/2, 2pi

Step-by-step explanation:

Q4: pi/3 * 180/pi = 180/3 = 60 degrees

Q5: 90/1 * pi/180 = pi/2 = 1.5708

Q6: The formula of the central angle is theta = S/r

so it is 2pi.

Describe the parts of this algebraic expression using the lesson’s vocabulary and simplfy

Negative x + 10.2 minus one-half x + y

Answers

Answer:

In this algebraic expression, "Negative x" represents a term with a coefficient of -1, and "x" represents a variable. "10.2" represents a constant term. The "+" sign represents addition.

Step-by-step explanation:

"minus one-half x" represents a term with a coefficient of -0.5 and variable "x". "+ y" represents a term with variable "y" and a coefficient of 1.

Simplifying the expression by combining like terms:

-x - 0.5x = -1.5x

Negative x + 10.2 - one-half x + y = 10.2 - 1.5x + y

HELP SOLVE I AM BEING TIMED

Answers

The conclusion sum of the measures of the angles 4, 5 and 11 is equal to 180 degrees not be accurate to the drawing.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

Supplementary angles are those angles that sum up to 180 degrees

so angle 1 and 4 are supplementary angles.

Congruent angles are two or more angles that are identical to each other

so angles 10 and 1 are congruent.

angles 5 and 7 are congruent.

The three interior angles of a triangle will always have a sum of 180°.

The sum of the measures of the angles 4, 5 and 10 is equal to 180 degrees.

The sum of the measures of the angles 4, 5 and 11 is not equal to 180 degrees.

Hence, the conclusion sum of the measures of the angles 4, 5 and 11 is equal to 180 degrees not be accurate to the drawing.

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ1

Which of the following is the value of k,if one root of the quadratic equation X2+kx-8=0 is-4?

Answers

The value of k if one root of the quadratic equation x²+kx-8=0 is-4 is 2.

The equation x^2+kx-8=0 is a quadratic equation and of the form

ax^2 + bx + c ;where a =1 , b=k and c= -8.

Now, we know that the sum of the roots of a quadratic equation = -b/a

and the product of the roots is = c/a.

Now, let the other root of this equation be y.

Then , by above properties,

(-4) + y = -k/1 =-k ..... (1)

And, (-4)y = -8/1=-8....(2)

From 2, we get y = 2.

Putting this value in (1), we get -

(-4) + 2=-k

So, k = 2.

Thus, if one of the roots of this equation -4 , then the other root must be 2 and so , the value of k is 2.

To learn more quadratic equation visit link :

brainly.com/question/30098550

#SPJ4

The complete question is:

Which of the following is the value of k,if one root of the quadratic equation X2+kx-8=0 is-4? a) 0 b) 4 c) 0 or 4 b) 2

) 10 labeled balls are placed into 20 labeled bins (with each placement equally likely). what is the probability that bin 1 contains exactly 3 balls?

Answers

The probability that bin 1 contains exactly 3 balls would be 0.015. Probabilities can be expressed as fractions, decimals, or percentages, and they can be used to make predictions or to quantify uncertainty.

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is certain. For example, if the probability of it raining tomorrow is 0.3, it means that there is a 30% chance of it raining tomorrow. In addition, probability theory is a branch of mathematics that studies the probability of events, and it plays an important role in many areas such as statistics, finance, and science.

The probability that bin 1 contains exactly 3 balls out of the 10 balls placed is given by the binomial probability mass function with parameters n = 10 and k = 3, and probability of success p = 1/20. Therefore, the probability is given by:

(10 choose 3) * [tex](1/20)^3[/tex] * [tex](19/20)^7[/tex] = 120 * (1/8000) * [tex](19/20)^7[/tex] = 120/8000 = 0.015

Learn more about probability, in here https://brainly.com/question/30034780

#SPJ4

what is the answer?
4x+3y=19
-3x+y=2

Answers

The solution set for the given system of equations is (1, 5).

What is a system of equations?In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are soughtIn mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the system of equations as -

4x + 3y = 19

- 3x + y =2

The given system of equations is -

4x + 3y = 19

- 3x + y =2

Now, we can write -

- 3x + y = 2

y = 2 + 3x

Then, the equation 4x + 3y = 19, will become -

4x + 3(2 + 3x) = 19

4x + 6 + 9x = 19

13x = 13

x = 1

Then, the value of {y} will be -

y =2 + 3

y = 5

Therefore, the solution set for the given system of equations is (1, 5).

To solve more questions on expressions, visit the link below -

brainly.com/question/1041084

#SPJ1

the widget store owner tells you that 200 customers arrive and purchase a widget from the store each day. assuming you must sell 30 of your widgets to cover the transportation costs, and given the probability you calculated in question 1, use a binomial distribution to estimate the probability of at least covering the transportation costs (that is, the probability of selling at least 30 widgets). write your answer as a probability (not a percent) rounded to 4 decimals.

Answers

The probability of selling at least 30 widgets is 0.0468.

The problem is asking us to use a binomial distribution to estimate the probability of selling at least 30 widgets given the information provided.

A binomial distribution is a probability distribution of the number of successes in a fixed number of trials.

Where n = 200 (number of customers arriving and purchasing a widget from the store each day) and

p = 0.1667 ( probability of a customer buying a widget)

We are looking for the probability of selling at least 30 widgets, which is equivalent to finding the probability of selling 30 or more widgets.

This can be calculated using the cumulative probability formula for a binomial distribution:

P(X >= 30) = 1 - P(X < 30) = 1 - Σ (nCx)(p^x)(1-p)^(n-x) from x=0 to 29

We can use a calculator or a software to calculate this probability. The result is 0.0468 rounded to 4 decimals.

Read more about Binomial Distribution Theorem:

https://brainly.com/question/29283294

#SPJ4

1. Find the values of x and y.
a.
b.
(3x + 18)°
(5y+68)°
(3y+96)°
x = 8, y = 2
x = 20, y = 2
(5x+2)°
fal
C. x = 8, y = 14
x = 20, y = 14
d.

Answers

Answer:

c

Step-by-step explanation:

(5x + 2) and (3x + 18) are vertically opposite angles and are congruent, so

5x + 2 = 3x + 18 ( subtract 3x from both sides )

2x + 2 = 18 ( subtract 2 from both sides )

2x = 16 ( divide both sides by 2 )

x = 8

Similarly

(5y + 68) and (3y + 96) are vertically opposite angles and are congruent, so

5y + 68 = 3y + 96 ( subtract 3y from both sides )

2y + 68 = 96 ( subtract 68 from both sides )

2y = 28 ( divide both sides by 2 )

y = 14

Solving for x: 6x + 12 = 2y

Answers

Answer: (y-6)/3

Step-by-step explanation:

6x = 2y - 12

x = (2y - 12)/6 = (y-6)/3

(I can only put x in terms of y because you only provided one equation)

Please help its finals

Answers

The number of students who liked cake batter frozen yogurt is 135.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

From the given diagram the sum of all the percentages except the Cake batter is (28.5 + 21.5 + 13 + 10)% = 73%.

Therefore, The percentage of students who liked Cake batter is,

= (100 - 73)%.

= 27%.

So, The number of students who liked cake batter is,

(27/100)×500.

= 27×5.

= 135.

learn more about percentages here :

https://brainly.com/question/24159063

#SPJ1

Sam and harry are family. Sam is currently three times harry's age. Sam's age is also 10 more than twice harry's age. The following system of equations models this scenario: x = 3y x = 10 + 2y what are their current ages?.

Answers

The current age of Sam is 30 years and Harry is 10 years.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity. If there is no 'equal to' symbol in the statement, it means it is not an equation. It will be considered as an expression.

Let Sam's age be y years and Harry's age be x years.

Sam is currently three times harry's age.

The equation formed: y = 3x

Sam's age is also 10 more than twice harry's age.

The equation formed: y = 2x + 10

Substitute the value of y from first equation in second equation:

3x = 2x + 10

x = 10

Put the value of x in first equation:

y = 3x = 3*10 = 30

Thus, the current age of Sam is 30 years and Harry is 10 years.

To learn more about equations, visit brainly.com/question/29657992

#SPJ4

Determine which is the better buy.
9 straps for $20.25 or 30 straps for $66.00. Please help​

Answers

Answer: 30 straps for 66 is better

Step-by-step explanation:

If its 9 straps for 20.25, then one strap costs 2.25

If its 30 traps for 66, one strap costs 2.2

Therefore, if you buy 30 straps for 66, its a better buy.

Answer:

1. 2.25

2. 2.20

3. 1.02

4. 30 straps

Step-by-step explanation:

1. Divide 20.25 by 9

2. Divide 66 by 30

3. Divide 2.25 by 2.20

A triangle has an angle that measures 85°. The other two angles are in a ratio of 3:16. What are the measures of those two angles?

Answers

Answer:

15, 80

Step-by-step explanation:

Angle of triangle=180 degrees

180-85=95

3x+16x=95

19x=95

x=95/19

x=5

3x=15

16x=80

Determine whether the underlined value is a parameter or a statistic.:
Following the election comma Modifying 18 % with underline of the governors of all 50 areas of a country were female. nothing nothing nothing
Is the value a parameter or a​ statistic?
A.The value is a parameter because the governors of all 50 area of a country nothingare a population.
B.The value is a statistic because the governors of all 50 area of a country nothingare a population.
C.The value is a statistic because the governors of all 50 area of a country nothingare a sample.
D. The value is a parameter because the governors of all 50 area of a country nothingare a sample.

Answers

The election comma Modifying 18 % with underline of the governors of all 50 areas of a country were female.

Based on this, thr correct answer is A. The value is a parameter because the governors of all 50 area of a country nothing are a population.

Parameters definition

Parameter is a term that comes from the Greek, namely para which means beside, and metron which means size. In general, a parameter is any characteristic that can help in defining and classifying a particular system (an event, project, object, situation, etc.). This means, parameters are system elements that are useful or critical, when identifying a system, or when evaluating its performance, status, condition, etc.

Parameter is a term that refers to a size or benchmark. parameter is the size of the entire population in the study which must be estimated from that contained in the sample. Parameter is a benchmark for a value with conditions that are expected to be achieved and can be one of the conditions for achieving goals.

As previously mentioned, parameters have more specific meanings in various disciplines, such as mathematics, computer programming, engineering, statistics, logic, linguistics, to electronic music composition. Apart from being used in technical uses, there are also extended uses, especially in non-scientific contexts, where the term is used to mean a characteristic or limitation, as in the phrases 'test parameters' or 'game parameters'.

Learn more about parameters population at https://brainly.com/question/29739146.

#SPJ4

QUICK NEED WITH WITHIN 5 MINUTES BRAINLIEST WILL BE GIVEN

simplify: cube root of 8x^6 y^12

Answers

Answer: C

Step-by-step explanation:

cube root of 8x^6y^12

equals 2x^2y^4

Forming Triangles with Different Side Lengths
Explore forming triangles with different combinations of side lengths.
✓ 1. Try to form a triangle by dragging
points A and D. Is it possible to form a
triangle with side lengths 1, 5, and 3
units? no
see picture for the rest

Answers

Yes, it is possible to form a triangle with side lengths 3, 4 and 5 units and we can form a right triangle.

What is a triangle?

A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.

Given that, a triangle with side lengths 1, 5 and 3 units

The properties of the triangle are:

The sum of the length of the two sides of a triangle is greater than the length of the third side.In the same way, the difference between the two sides of a triangle is less than the length of the third side.

1) Here, 5-1>3

No, we can not form a triangle with 1, 5 and 3.

2) A triangle with side lengths 3, 4 and 5 units

Here, 5-3<4

It is possible to form a triangle.

Now, c²=a²+b²

5²=3²+4²

25+25

With side lengths 3, 4 and 5 units right angle triangle can be formed.

Yes, it is possible to form a triangle with side lengths 3, 4 and 5 units and we can form a right triangle.

Learn more about the triangle here:

brainly.com/question/2773823.

#SPJ1

what is the value of X??
will mark brainliest

Answers

Answer: The value of x is 43 degrees

select the statement(s) that highlight the key difference(s) between bagging and random forest a) bagging considers all the features to decide the best split while random forest generally selects only a subset of features. b) bagging can have any number of estimators while random forest can not have any number of estimators. c) bagging can take logistic regression as its base estimator while random forest can only have a decision tree as its base estimator. d) bagging selects only a subset of features to decide the best split while random forest considers all the features to decide the best split.

Answers

An ensemble approach called bagging combines the predictions from all models after fitting each one to a distinct portion of a training dataset.

what is standard deviation ?

When the standard deviation is low, the data tend to cluster around the mean; when it is large, the data are more spread. Calculated using the standard deviation, the data's divergence from the mean value is determined. It is useful for contrasting data sets with possibly the same mean but a distinct range. For instance, the mean of the two following numbers is the same: 15, 15, 15, 14, 16 and 2, 7, 14, 22, 30. But it's clear that the second is more diffused. The standard deviation shows how erratic the data is. It conveys the difference between each observed value and its mean.

given

An variation of bagging called random forest additionally randomly chooses the subsets of features that are applied to each data sample.

With the addition of splitting on a random subset of characteristics, random forest outperforms bagging by decorrelating the trees.

As a result, the model only takes into account a small subset of its properties at each branch in the tree rather than all of them.

To know more about standard deviation visit :-

https://brainly.com/question/23907081

#SPJ1

Choose the expression that is equivalent to
(9^-3/3^-2x9^2)^3
-3^6/-9^15
-3^2/-9^5
3^6/9^15
3^2/9^5

Answers

The equivalent expression to the given expression is 3⁶/9¹⁵.  

Equivalent Expressions:  

A mathematical expression made up of variables, coefficients, constants, and operations like addition, subtraction, multiplication, and division is called an algebraic expression.  

Equivalent expressions in mathematics are those that hold true even when they appear to be different. However, both forms provide the same outcome when the values are entered into the formula.    

Here we have

=> [tex][ \frac{9^{-3} }{ 3^{-2} 9^{2} } ]^{3}[/tex]  

We can solve the above expression as follows

=> [tex][ {9^{-3} \times3^{2} \times 9^{-2} ]^{3}[/tex]  

=> [tex][ {9^{-5} \times3^{2} ]^{3}[/tex]  

=> [tex][ {9^{-15} \times3^{6} ][/tex]  

=> [tex]\frac{ 3^{6}}{9^{15} }[/tex]    

Therefore,

The equivalent expression to the given expression is 3⁶/9¹⁵.  

Learn more about Equivalent expressions at

https://brainly.com/question/27911936  

#SPJ1

Probability selecting a number divisible by a 1000

Answers

About 25% since after passing 500 you cannot divide 1000

the first term of a geometric sequence is 15, and the 5th term of the sequence is 243125. what are the geometric means between these terms? enter your

Answers

Answer:

The geometric sequence is 15, 9, 27/5, 81/25, 243/125

Step-by-step explanation:

After renovations in the gym were finished, Coach Murphy decided to paint the school colors on the wall behind the bleachers. The wall is 120 feet wide, and he plans to paint stripes that are 1.5 feet wide.
Let s represent how many stripes Coach Murphy will paint. Which equation models the problem?

Answers

The equation that models the problem is given as follows:

s = 120/1.5.

What is a proportional relationship?

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

For this problem, the variables are given as follows:

y = 120 = total width of the wall.k = 1.5 = length of each stripe painted.x = s = number of stripes painted.

Hence the equation used to obtain the number of stripes that Murphy will paint is given as follows:

1.5s = 120

s = 120/1.5

s = 80. (solution).

More can be learned about proportional relationships at https://brainly.com/question/10424180

#SPJ1

sinx - cosx = 1 ; solve the equation on the interval [tex]0\leq x\ \textless \ 2\pi[/tex]
Please show all work.

Answers

The solution of the equation in the interval [0, 2π] is π or 180.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

Given the equation;

Sinx = cosx + 1

Then Square both sides of the equation;

Sin²x = (cos x + 1)²

Sin²x = cos²x + 2cos x + 1

Since Sin²x = 1 - cos²x

1 - cos²x = cos²x + 2cos x + 1

Collect like terms;

1-1-cos²x-cos²x-2cos x  = 0

-2cos²x-2cos x = 0

-2cos²x = 2cos x

-cosx = 1

cos x = -1

x = 180 degrees

Hence, the value of x = π

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ1

Other Questions
Please show me how to work out these math problems. Only the ones with stairs next them please. Thank you. How will you effectively use figures of speech in your paragraph? In an organized, well-developed paper, address the following research question:Is our modern technology interfering with or enhancing our ability to connect with other humans? In what ways is it interfering or enhancing? Be sure to cite specific examples from your research. Remember that this is a research paper, so you will want to make your point and support it with at least three scholarly sources. Three quotes will need to be incorporated from your research, and all quotes should be cited both in-text and in the reference list. If you need help with organization, see the attached outline as a guide.Below is an outline that you can use to help you structure and organize your paper. Ideally, all of your paragraphs should be 7-9 sentences. Introduction (4-7 sentences)o Hook to capture your reader's attentiondirect quote, shocking fact or quote, anecdote (1-2 sentences)o Transition to thesis (1-2 sentences)o Thesis statement that takes a stance regarding whether technology is enhancing OR interfering with the human ability to connect. (1 sentence)o Preview statement that lists the main ideas of your paper (brief history of humans relationship with technology, modern theory/social culture surrounding technology, etc). (1-2 sentences)Notes: Your thesis statement needs to be more detailed then Technology is distracting. Body Paragraph 1, Paragraph 2, and Paragraph 3Strong reasons outlining how technology interferes OR enhances- 1 reason per paragraph (7-9 sentences)o Main idea/Topic sentence (1 sentence)o Evidence from your sources (1 sentence)o Analysis (explanation) of Textual evidence (2-3 sentences)o Link textual evidence to topic sentence and thesis (3-5 sentences) Conclusion (5-9 sentences)o Restate your thesis (1 sentence)o Provide a commentary on the main ideas of your paper (3-5 sentences)o Offer a final observation of your paper and leave the reader with a final impression of how technology has impacted human ability to connect with one another. (2-3 sentences) what are the ethical challenges facing marianne barner (business area manager at ikea) in regards to souring carpets from india? how can she address her short-term and long-term challenges? Project Stem 4.11 Question 4: The Monte Carlo method uses ___________ for computer simulations. What is the answer? Is the old man and the sea an autobiographical? Cassandra purchased a new car. the car had a list price of $16,870. cassandra made a down payment of $1,800 and financed the rest, paying 12.3% interest compounded monthly over a payment period of four years. if cassandra also had to pay 7.8% sales tax, a $895 vehicle registration fee, and a $68 documentation fee, what is her monthly payment? a. $446.74 b. $459.42 c. $461.41 d. $507.09 please select the best answer from the choices provided a b c d phase change in which a gas is converted directly to a solid In races What does the author mean by"Memory begins with various wonders"?? annual sales for a company are $149,999 and are increasing at a rate of 5% per year. write an exponential growth function to model this situation. then, find the annual sales after 7 years. Solve for X, Leave in simplest radical form. Write the equation in Slope Intercept Form. y+ point K is 1/n of the way from J(4,5) to L(0,-7). what are the coordinates of K if n=4 The equation of a plane which passes through (2,3,1) and is normal to the line joining the points (3,4,1) and (2,1,5) is given by? What is the interest earned in a savingsaccount after 12 months on a balance of$1000 if the interest rate is 1.5% APYcompounded yearly?interest $[?]Round your answer to the nearest hundredth.= Room has a sensible heat gain of 4000 btu per hr is to be maintained at 78F when the outside temp is 93F. The temp of the air entering the room is to be 68F. Determine the number of pounds of fresh air per minute that must be used if 75% of the total air is recirculated. What is the balanced equation for the combustion of CH4? person who introduced Rural Free Delivery Bill (RFD) which required US postmaster general to find way to deliver mail to rural homes free of charge a qualitative variable can be at which levels of measurement? What key roles do consumers and entrepreneurs play in the free-enterprise system?