One month Trey rented three movies and five video games for a total of $35. The next month he rented six movies and two video games for a total of $20. Find the rental cost for each movie and each video game.

The probability of selecting a junior who takes the bus is P (Junior who takes the bus) = 12/200 = 0.06Hence, the probability that a randomly selected student is a junior who takes the bus is 0.06 or 6/100.

The given frequency table on how students get to school among the high school students is represented in the below table:Transportation Walk Bike BusDriveTotalGrade 9 11 10 14 15 50Grade 10 10 7 13 20 50Grade 11 8 6 12 24 50Grade 12 5 8 8 29 50 Total 34 31 47 88 200Given data from the above frequency table, we are interested in finding the probability of a randomly selected student being a junior who takes the bus.SolutionWe know that the total number of students is 200, and the total number of junior students is 50. Hence the probability of selecting a junior is P (Junior) = 50/200 = 0.25Similarly, the number of students who take the bus is 47 and the number of junior students who take the bus is 12.

for more search question probability

https://brainly.com/question/251701

#SPJ8

Usando la distribución binomial, se encuentra que hay una probabilidad de 0.0012 = 0.12% que realmente haya sido fruto de la coincidencia. El argumento para conseguir que te devuelvan el dinero seria de que 6 ítems defectuosos es un resultado inusualmente alto.

Para cada ítem, solo hay dos resultados posibles. O está defectuoso o no lo es. La probabilidad de que un ítem sea defectuoso es independiente de cualquier otro ítem, lo que significa que se utiliza la distribución binomial para resolver esta cuestión.

Distribuición binomial:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

Los parámetros son:

La media de la distribución binomial es:

\(E(X) = np\)

La desviación estándar de la distribución binomial es:

\(\sqrt{V(X)} = \sqrt{np(1-p)}\)

Una medida se considera inusualmente alta si está más de 2.5 desviaciones estándar por encima de la media.

En este problema:

La probabilidad de que realmente haya sido fruto de la coincidencia es P(X = 6), o sea:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 6) = C_{10,6}.(0.15)^{6}.(0.85)^{4} = 0.0012\)

Probabilidad de 0.0012 = 0.12% que realmente haya sido fruto de la coincidencia.

Para el argumento:

\(E(X) = np = 10(0.15) = 1.5\)

\(\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{10(0.15)(0.85)} = 1.13\)

\(6 > 1.5 + 2(1.13)\), o sea, el argumento para conseguir que te devuelvan el dinero seria de que 6 ítems defectuosos es un resultado inusualmente alto.

Un problema similar es dado en https://brainly.com/question/22304471

Answer:

125 mph

Step-by-step explanation:

The river is going 25 mph every 20 minutes

Therefore we can paddle 125 miles at consistent rate.

Answer:

186.

Step-by-step explanation:

By multiplying six by thirty one, you'll get every single way the instructor can choose six students from a class of thirty one students for a field trip.

The number of different ways that an instructor can choose 6 students from a class of 31 students for a field trip is 186.

We have a number of different ways that an instructor can choose 6 students from a class of 31 students for a field trip.

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.

By multiplying six by thirty-one, you'll get every single way the instructor can choose six students from a class of thirty-one students for a field trip.

To learn more about the probability visit:

https://brainly.com/question/25870256

#SPJ2

The x-coordinates where the graphs of the equations intersect are x = -1 and x = 3

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

y = 2x

y = x² - 3

The x-coordinates where the graphs of the equations intersect is when both equations are equal

So, we have

x² - 3 = 2x

Rewrite the equation as

x² - 2x - 3 = 0

When the equation is factored, we have

(x + 1)(x - 3) = 0

So, we have

x = -1 and x = 3

Hence, the x-coordinates are x = -1 and x = 3

Read more about equations at

https://brainly.com/question/148035

#SPJ1

Question

From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approximate, enter values to the hundredths.

y = 2x

y = x² - 3

Answer:

1

5

Quora uses cookies to improve your experience. 

Read More

If a+b=8, b+c=10 and c+a=12, what is the value of a+b+c?

Answer

12

Follow

Request

More

Ad by SEMrush

What are the most effective ways to promote blogs?

There are tons of different ways to promote your blog. What you ultimately decide is best for you depends on the reasons you want

Continue reading in feed

29 Answers

Include Related Answers

Patrick Ivers, former mathematics & English instructor

Answered June 26, 2018

If a+b=8, b+c=10 and c+a=12, what is the value of a+b+c?

The puzzle is solved by defining each variable in terms of another variable & a number & then making substitutions. Begin by taking each sum to define one of the variables in terms of the other. (Different combinations are available, but I’ll follow the a,b,c order.)

a+b=8 becomes a=8-b

b+c=10 becomes b=10-c

c+a=12 becomes c=12-a

Now subtract two of the equations that contain the same variable. I’ll pick two that contain an a: c+a =12 & a+b=8. Subtracting the latter from the former eliminates the “a”s, leaving c-b=4. Adding b to both sides to isolate c gives c=b+4. From above we can take b=10-c to substitute for b in c=b+4, giving us c=(10-c) + 4). Simplify the right side to c=14-c, add c to both sides, giving 2c=14, & then divide both sides by 2 to obtain c=7.

Replace the c in b=10-c with 7 to

Continue Reading

3

1

Add a comment...

Related Answer

Paul K. Young, Former PhD candidate in Mathematics

Answered September 28, 2016

If A = B and B = C, does A = C?

In mathematics = is assumed to be a transitive relationship. Transitivity means precisely what you stated: A = B and B = C implies A = C.

While it’s possible to use = to represent a non-transitive relationship this would be considered an abuse of notation. A ~ B or R(A, B) would be a better way to express the relation in this case.

Similar assumptions are made about operators like + and *. + is generally assumed to be commutative, whereas * can be used for noncommutative operations like matrix multiplication. E.g. A * B != B * A.

Equality in programming is another story entirely.

In many languages = is the assignment operator and == is the equality operator. Assignment is not transitive - it’s not even a relation.There are cases where the equality operator doesn’t define a transitive relation.

Answer:

no

Step-by-step explanation:

1+4(3)=12(1)+4(3)=12

1+12=12+12=12

13=24=12

Answer:

x =40

z=35

v=35

w=55

y=50

The number 2/5 is both a ratio and a fraction.

The number 2/5 is both a ratio and a fraction. Fractions are meant to signify the numerator and denominator in an expression. in the above expression, we have the denominator as 5 and the numerator as 2.

The expression is also a ratio because it indicates the quantitative relationship between the figures.

Learn more about ratios and fractions here:

https://brainly.com/question/2328454

#SPJ1

Answer:

the answer is A im not sure so check with another person.

Step-by-step explanation:

if you divide 10 divided by 2 it gives you 5 and then subtract it by 2.2 = 2.8

there goes your answer.

The measure of the y-component of the vector is approximately equal to 13.866 meters.

In this problem we find the case of vector. Vectors are described by magnitude (r), in meters, and direction (θ), in degrees. Direction is describe by angle and vectors in standard form use angles measured from the "horizontal" axis.

Let assume that the vector described in the figure shown represents a vector in standard form, then the y-component of the vector is described by the following expression:

y = r · sin θ

If we know that r = 15.3 meters and θ = 65°, then the y-component of the vector presented and described in the figure is:

y = 15.3 · sin 65°

y ≈ 13.866 m

The y-component of the vector has a magnitude approximately equal to 13.866 meters.

To learn more on vectors: https://brainly.com/question/29740341

#SPJ1

Answer:

180

Step-by-step explanation:

Answer:

The answer is 180

Step-by-step explanation:

To check the answer:

Since 60 is part of a half then 60 * 60 = 120

Now we have to find the other 60 remaining from 180 because 180-120 is 60.

1/2 of 180 is 90.

90-60 = 30

if one half is equal to 90 then the other half is equal to 90.

The value x in the secant line using the Intersecting theorem is 4.

Intersecting secants theorem states that " If two secant line segments are drawn to a circle from an exterior point, then the product of the measures of one of secant line segment and its external secant line segment is the same or equal to the product of the measures of the other secant line segment and its external line secant segment.

From the figure:

First sectant line segment = ( x - 1 ) + 5

External line segment of the first secant line = 5

Second sectant line segment = ( x + 2 ) + 4

External line segment of the second secant line = 4

Using the Intersecting secants theorem:

5( ( x - 1 ) + 5 ) = 4( ( x + 2 ) + 4 )

Solve for x:

5( x - 1 + 5 ) = 4( x + 2 + 4 )

5( x + 4 ) = 4( x + 6 )

5x + 20 = 4x + 24

5x - 4x = 24 - 20

x = 4

Therefore, the value of x is 4.

Option C) 4 is the correct answer.

Learn more about Intersecting secants theorem here: brainly.com/question/30242636

#SPJ1

The given information tells us that Terry's wins-to-races ratio is 2:3, but we cannot determine the exact number of races he has won without additional information about the total number of races he has participated in.

If the ratio of the number of times Terry has won to the number of races he has swum in is 2:3, we can set up a proportion to determine the number of races he has won.

Let's denote the number of times Terry has won as x, and the total number of races he has swum in as y. According to the given ratio, we have:

x/y = 2/3

To find the value of x, we need to solve for x when y is known. Since y represents the total number of races, we don't have that information in the given problem. Therefore, we cannot determine the exact number of races Terry has won without knowing the total number of races he has participated in.

The ratio tells us the relationship between the number of wins and the total number of races, but without knowing the denominator (total races), we cannot find a specific value for the numerator (number of wins). We can only determine the ratio between the two quantities.

for similar questions on races.

https://brainly.com/question/24181944

#SPJ8

Answer: -18

Step-by-step explanation:

im not 100% sure but good luck :)

Answer:  -12/2/3=-2

Step-by-step explanation:

Answer: x = 3

Step-by-step explanation: -7 + 9 = 8 - 6

Answer:

On average, Tonya makes $312 more than Emily on a typical day.

Step-by-step explanation:

I was just studying that question a few hours ago

As in the given scatterplot, there is no clear relationship between the two variables x and y so, we can say that there is no correlation between the two variables.

A Scatterplot is a type of data display showing the relationship between two variables and the pattern shown by the scatterplot is said to be a correlation which may be positive, negative or may have no correlation.

When the y variable tends to increase as the x variable increases, we can say that there is a positive correlation between the two variables.

When the y variable tends to decrease as the x variable decreases, we can say that there is a negative correlation.

When there is no clear relationship between the two variables, then we say that there is no correlation between the two variables.

Read more about correlation in scatterplots in https://brainly.com/question/29052392

#SPJ9

Answer:

perimeter= 12units

Step-by-step explanation:

steps are in picture

If at one point object's position and acceleration vectors are given by r=3i m+4j and a =-5jm/s^2 , the speed of the object at this moment is 4 m/s.

To find the speed of the object at this moment, we need to use the formula for speed:

speed = |velocity|

where velocity is the derivative of the position vector with respect to time.

First, let's find the velocity vector. Since the object is moving along a circle centered at the origin, its position vector r can be written as:

r = x i + y j

where x and y are functions of time.

Taking the derivative of r with respect to time gives us the velocity vector v:

v = dx/dt i + dy/dt j

To find dx/dt and dy/dt, we can use the fact that the object is at position r=3i+4j at this moment, which means that x=3 and y=4. We also know that the acceleration vector a = -5j m/s^2.

Using the kinematic equation:

a = d^2r/dt^2 = (d/dt)(dx/dt) i + (d/dt)(dy/dt) j

we can see that (d/dt)(dx/dt) = 0 and (d/dt)(dy/dt) = -5. Therefore, dy/dt = -5t + C, where C is a constant of integration that we can determine using the fact that y=4 when t=0. This gives us C=4.

So, the velocity vector at this moment is:

v = dx/dt i + (-5t + 4) j

To find the speed, we take the magnitude of the velocity vector:

|v| = √((dx/dt)^2 + (-5t+4)^2)

Since we know that dx/dt=0 at this moment, we can simplify this to:

|v| = |-5t+4|

Now we need to find t at this moment. Since the object is moving along a circle centered at the origin, its position vector is perpendicular to the acceleration vector at all times. Therefore, the dot product of r and a must be zero:

r . a = 3(-5j) + 4(0) = -15j = |r||a| cos(θ)

where θis the angle between r and a. Since r=3i+4j, |r|=5 and cos(θ)=-4/5.

Substituting these values into the equation, we get:

-15 = 5 |-5j| cos(θ)

which simplifies to:

cos(θ) = -3/4

Therefore, the angle between r and a is θ= arccos(-3/4) = 142.11 degrees.

At this moment, the velocity vector is perpendicular to the acceleration vector, which means that the object is at a point on the circle where it is moving tangentially. Therefore, the angle between r and v is 90 degrees, and the speed of the object is:

|v| = |-5t+4| = |-5(0)+4| = 4 m/s

To learn more about vector click on,

https://brainly.com/question/15131944

#SPJ4

Answer:

490000

Step-by-step explanation:

Substituting \(x=40\),

\(I=-425(40)^2 + 45500(40) - 650000=490000\)

Answer:

A

Step-by-step explanation:

To solve the equation 7x-3(x-6)=30, we need to use the distributive property to simplify the left-hand side of the equation:

7x - 3(x-6) = 30

7x - 3x + 18 = 30

4x + 18 = 30

Next, we need to isolate the variable term on one side of the equation. To do this, we can subtract 18 from both sides:

4x + 18 - 18 = 30 - 18

4x = 12

Finally, we can solve for x by dividing both sides by 4:

4x/4 = 12/4

x = 3

Therefore, the solution to the equation 7x-3(x-6)=30 is x = 3. Answer A is correct.

Answer:

Step-by-step explanation:

There is insufficient information so the joint probability mass function of X and Y.

given that

there are three bowls they are a red bowl , a green bowl and a blue bowl  are on the kitchen table

alan places one egg into a randomly selected bowl.

X = # of eggs placed into the red bowl

Y = # of empty bowls at the end of the experiment.

the joint probability mass function of X and Y

1. Not sufficient

R=5

let us consider when G = 2 , B = 1 => P(G) = 2/8

when G=1, B=2 => P(G) = 1/8

2. Not Sufficient

P(B) = 1/3 = x/3x

But this doesn't tell us anything about B or total because P(B) = 1/3 , but it could also be 2/6 or 3/9 so on..

So we can have different B . Thus we can have different G combinations.

Together - Not Sufficient

P(B) = x/(3x) , R = 5

P(G) = 1- P( not G )

= 1- P(R or B)

But we cannot calculate this with out knowing P(R) and P(B).

we cannot solve this problem because there is no proper information is given.

To learn more about probability:

https://brainly.com/question/30034780

#SPJ4

The person is approximately 8.43 miles from home, and they need to walk in the direction of approximately 26.6 degrees east of north to head directly home.

To determine the distance from home, we can use the concept of vector addition. The person walks 4 miles west, which can be represented as a vector (-4, 0) in a coordinate plane. Then, they walk 5 miles southwest, which can be represented as a vector (-3.54, -3.54) since southwest is a combination of west and south. Adding these two vectors together gives us (-7.54, -3.54).

To find the magnitude or distance from home, we use the Pythagorean theorem. The distance is given by sqrt((-7.54)^2 + (-3.54)^2) = 8.43 miles (approximately).

To determine the direction to head directly home, we need to find the angle between the vector (-7.54, -3.54) and the positive x-axis. We can use trigonometry to find this angle. The tangent of the angle is given by the ratio of the y-coordinate to the x-coordinate, which is -3.54 / -7.54. Taking the inverse tangent of this value gives us approximately 26.6 degrees.

For more such questions on direction

https://brainly.com/question/30016405

#SPJ8

Answer:

c

Step-by-step explanation:

the answer is c.

.

.

.

.

.

.

Answer:

A. 1:7

Step-by-step explanation:

Just took the test

9514 1404 393

Answer:

  all real numbers except 2

Step-by-step explanation:

The expression is undefined when the denominator is zero, so the denominator cannot be zero.

  2 - x = 0  when  x = 2

The domain is all real numbers except x=2.

Answer:

D

Step-by-step explanation:

-3 1/3