three groups of students:S (blue and green): The set of students who took a Spanish class.T (green and orange): The set of students who traveled to a Spanish-speaking country.D(red and orange): The set ofstudents who did not take a Spanish class.Each block represents one student. how many times more likley is it for a student who took spanish to have traveled to a spanish speaking country than a student who did not take spanish
Answers
Answer
It is 3.3 times as likely.
Step-by-step explanation
From the graph, the fraction of students who traveled to a Spanish speaking country and took Spanish is:
\(have\text{ traveled and took Spanish}=\frac{green\text{ blocks}}{blue\text{ and green blocks}}=\frac{8}{8\times3}=\frac{1}{3}\)From the graph, the fraction of students who traveled to a Spanish speaking country and did not take Spanish is:
\(have\text{ traveled and did not take Spanish =}\frac{orange\text{ blocks}}{orange\text{ and red blocks}}=\frac{8}{8\times10}=\frac{1}{10}\)Then, the ratio between students who took Spanish and have traveled to a Spanish speaking country and students who did not take Spanish and have traveled to a Spanish speaking country is:
\(\frac{have\text{ traveled and took Spanish}}{have\text{ traveled and did not take Spanish}}=\frac{\frac{1}{3}}{\frac{1}{10}}=\frac{10}{3}\approx3.3\)Related Questions
un camion se encuentra del lado izquierdo del cero del sistema de referencia, es decir, desde una posicion negativa de -2 km, como el conductor va buscando pasaje se mueve muy lentamente a una velocidad de 10 km/h? escribe la ecuacion horaria.
Answers
Veremos que la ecuación que describe el movimiento del camión es:
f(t) = -2km + (10km/h)*t
¿Como encontrar la ecuación de movimiento del camión?Primero debemos recordar la relación:
distancia = velocidad*tiempo.
Entonces, podemos escribir la pocición del camión como:
f(t) = pocición inicial + velocidad*t
Donde t es el tiempo en horas.
Sabemos que:
posición inicial = -2kmvelocidad = 10km/hReemplazando eso obtenemos:
f(t) = -2km + (10km/h)*t
Esta es la ecuación de movimiento del camión.
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Choose the graph that solves this system of equations.
y = 2x - 6
y = -4x + 3
Answers
The Option C is correct.
System of equations:
Given equations are,
\(y = 2x - 6\\\\y= -4x + 3\)
When we draw the graph of both equation of line.
Then these lines intersect at a point \((1.5,-3)\).
So that option C is correct.
The correct graph is attached below.
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Is the event independent or overlapping:
A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?
Mutually exclusive or independent:
A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5.
Mutually exclusive or overlapping:
A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that is is a milk chocolate or has no peanuts inside?
Mutually exclusive or independent:
You flip a coin and then roll a fair six sided die. What is the probability the coin lands on heads up and the die shows an even number?
Answers
1. A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?
In this case, the spinner's outcome of landing on region three is independent of landing on region six. Each spin is unrelated to the previous spin, and the outcome of one region does not affect the outcome of the other region. Therefore, the events are independent. The probability of landing on both region three and region six is the product of their individual probabilities: 1/8 * 1/8 = 1/64.
2. A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5?
In this scenario, the events are overlapping. A jersey can be both purple and have a number greater than 5 at the same time. Therefore, the probability of it being purple or having a number greater than 5 is the sum of their individual probabilities, minus the probability of the overlapping event (purple jerseys with a number greater than 5). There are 4 purple jerseys out of 10 total jerseys, and there is 1 jersey with a number greater than 5 out of 10. However, there is one jersey that satisfies both conditions (purple and number greater than 5), so we need to subtract it from the sum. So the probability is (4/10 + 1/10) - (1/10) = 4/10 = 2/5.
3. A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that it is a milk chocolate or has no peanuts inside?
In this scenario, the events are mutually exclusive. A chocolate cannot be both a milk chocolate and have no peanuts inside at the same time. Therefore, the probability of it being a milk chocolate or having no peanuts inside is the sum of their individual probabilities. There are 6 milk chocolates out of 10 total chocolates, and there are 7 chocolates without peanuts out of 10. So the probability is 6/10 + 7/10 = 13/10, which is greater than 1. However, probabilities cannot exceed 1, so we need to take the maximum value of 1. Therefore, the probability is 1.
4. You flip a coin and then roll a fair six-sided die. What is the probability the coin lands heads up and the die shows an even number?
In this case, the events are independent. The outcome of the coin flip does not affect the outcome of the die roll. The probability of the coin landing heads up is 1/2, and the probability of the die showing an even number is 1/2. To find the probability of both events occurring, we multiply their individual probabilities: 1/2 * 1/2 = 1/4.
I hope this clarifies the nature of each event. Let me know if you have any further questions!
The first question:
"A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?"
Since the spinner has an equal chance of landing on each of its eight regions, the probability of landing on region three is 1/8, and the probability of landing on region six is also 1/8.
To find the probability of both events occurring (landing on region three and region six), you multiply the probabilities together:
P(landing on region three and region six) = P(landing on region three) * P(landing on region six) = (1/8) * (1/8) = 1/64.
Therefore, the probability of landing on both region three and region six is 1/64.
The events are mutually exclusive because it is not possible for the spinner to land on both region three and region six simultaneously.
--------------------------------------------------------------------------------------------------------------------------
The second question:
"A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5?"
To find the probability of either event occurring (purple or number greater than 5), we need to calculate the probabilities separately and then add them.
The probability of picking a purple jersey is 4/10 since there are four purple jerseys out of a total of ten jerseys.
The probability of picking a jersey with a number greater than 5 is 2/10 since there are two jerseys numbered 6 and above out of a total of ten jerseys.
To find the probability of either event occurring, we add the probabilities together:
P(purple or number greater than 5) = P(purple) + P(number greater than 5) = (4/10) + (2/10) = 6/10 = 3/5.
Therefore, the probability of picking a purple jersey or a jersey with a number greater than 5 is 3/5.
The events are overlapping since it is possible for the jersey to be both purple and have a number greater than 5.
--------------------------------------------------------------------------------------------------------------------------
The third question:
"A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that it is a milk chocolate or has no peanuts inside?"
To find the probability of either event occurring (milk chocolate or no peanuts inside), we need to calculate the probabilities separately and then add them.
The probability of selecting a milk chocolate is 6/10 since there are six milk chocolates out of a total of ten chocolates.
The probability of selecting a chocolate with no peanuts inside is 7/10 since there are seven chocolates without peanuts out of a total of ten chocolates.
To find the probability of either event occurring, we add the probabilities together:
P(milk chocolate or no peanuts inside) = P(milk chocolate) + P(no peanuts inside) = (6/10) + (7/10) = 13/10.
Therefore, the probability of selecting a milk chocolate or a chocolate with no peanuts inside is 13/10.
The events are mutually exclusive since a chocolate cannot be both a milk chocolate and have no peanuts inside simultaneously.
--------------------------------------------------------------------------------------------------------------------------
The fourth question:
"You flip a coin and then roll a fair six-sided die. What is the probability the coin lands heads up and the die shows an even number?"
The probability of the coin landing heads up is 1/2 since there are two possible outcomes (heads or tails) and they are equally likely.
The probability of rolling an even number on the die is 3
/6 or 1/2 since there are three even numbers (2, 4, and 6) out of a total of six possible outcomes.
To find the probability of both events occurring (coin lands heads up and die shows an even number), we multiply the probabilities together:
P(coin lands heads up and die shows an even number) = P(coin lands heads up) * P(die shows an even number) = (1/2) * (1/2) = 1/4.
Therefore, the probability of the coin landing heads up and the die showing an even number is 1/4.
The events are independent since the outcome of flipping the coin does not affect the outcome of rolling the die.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Reduce this fraction: 5/25x
Answers
Answer:
1/5x
Step-by-step explanation:
1/5x
A ball is thrown into the air. The function h(x) = -16x2 + 64x + 8 models the height, in feet above ground, of the ball after x seconds.
What was the height of the ball at the time it was thrown?
How many seconds after being thrown did the ball reach its maximum height?
Answers
Answer:
At the time the ball was thrown, it was 8 feet above the ground.
h'(x) = -32x + 64 = 0, so x = 2
The ball reaches its maximum height after 2 seconds.
what is the slope of the line that passes through the points (2,-3) and (2,13)? write your answer in simplest form
Answers
Answer:
The slope is undefined because there is no change in x, making it a vertical line
Step-by-step explanation:
Find x and y in terms of a and b.
Sax + by = 0
x + y = 2
(x, y) =
(a + b)
Answers
From the second equation, we have y = 2 - x.
Substituting this into the first equation, we get:
Sax + b(2 - x) = 0
Expanding this equation, we get:
Sax + 2b - bx = 0
Rearranging the terms, we get:
x(Sa - b) = 2b
Dividing both sides by (Sa - b), we get:
x = 2b/(Sa - b)
Substituting this value of x into the second equation, we get:
2b/(Sa - b) + y = 2
Substituting y = 2 - x, we get:
2b/(Sa - b) + (2 - 2b/(Sa - b)) = 2
Simplifying this equation, we get:
4b/(Sa - b) = 2
Multiplying both sides by (Sa - b)/2, we get:
2b = (Sa - b)
Simplifying this equation, we get:
b = a/2
Substituting this value of b into the equation for x, we get:
x = 2b/(Sa - b) = 2(a/2)/(Sa - a/2) = a/(2S - 1)
Substituting these values of x and y into the given point (x, y) = (a + b), we get:
(a/(2S - 1), 2 - a/(2S - 1)) = (a + a/2, a/2)
Therefore, the solution is:
x = a/(2S - 1) and y = 2 - a/(2S - 1).
por que se puede inscribir un cuadrado dentro de un triángulo
Answers
Answer:
yo soy de
Step-by-step explanation:
A rectangular prism with a square base has a height of 17.2cm and a volume of 24.768cm². What is the length of its base?
Answers
The formula for the volume of a rectangular prism is:
V = lwh
where V is the volume, l is the length, w is the width, and h is the height.
We know that the height of the rectangular prism is 17.2 cm, and the volume is 24.768 cm³. We also know that the base is a square, so the length and width are the same. Let's call the length of the base x.
Then, we can write:
V = lwh
24.768 = x * x * 17.2
24.768 = 17.2x²
x² = 1.44
x = 1.2
Therefore, the length of the base of the rectangular prism is 1.2 cm.
The formula for the volume of a rectangular prism is V = lwh, where l is the length, w is the width, and h is the height.
In this problem, we know that the height is 17.2 cm, and the volume is 24.768 cm³. We also know that the base is a square, so the length and width are the same.
Therefore, we can write the equation:
24.768 = x² * 17.2
To solve for x, we can divide both sides by 17.2, and then take the square root of both sides:
x² = 24.768 / 17.2
x² = 1.44
x = sqrt(1.44)
x = 1.2
Therefore, the length of the base of the rectangular prism is 1.2 cm.
Please help with this question.
The model represents an equation. What value of X makes the equation true?
A) 9
B) 9/4
C) -9
D) - 9/4
Answers
Answer:
-9
Step-by-step explanation:
Graph the solution to the equations below. y = 1 4 x + 2 and y = −2x −7
Answers
Evaluate each expression given that a =-5, b=2 and c=1
b) b-a+c
c) 2b+6c
d)abc
e) -2ab/c
Answers
Answer:
Given
a=-5
b=2
c=1
i) b - a + c
= 2 -(-5) + 1
=2 + 5 + 1
=8.
ii)2b + 6c
= 2(2) + 6(1)
=4 + 6
=10.
iii) abc = (-5)(2)(1)
= -10.
iv) -2ab/c
= -2(-5)(2)/1
= 20.
This table represents the gallons of water, g, left in a hot tub after draining it for m minutes.
When graphed, all of the points in the table lie on the same line.
What is the slope and y-intercept of the line?
Drag and drop the slope and y-intercept into the corresponding boxes.
available options are -32, 15,32,480
Answers
Answer:
The answer is slope: -32 y-intercept:480
Step-by-step explanation:
I took the test
Answer: slope -32 y-intercept 480
Step-by-step explanation:
Took the k12 test
Please help. It’s not “yes, corresponding angles converse”
Answers
Answer:
Yes,Corresponding Angles
Step-by-step explanation:
any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.
Answer:
It is yes,corresponding angles
Step-by-step explanation:
The given point P is located on the unit circle, similar to what is seen in the image below, determine the sine and cos e(P is
not necessarily in Quadrant I).
(0,1)
(-1,0)
(0,-1)
(1,0)
PLS HELP ME ASAP
Answers
The sine and cosine of the angle of point P are sin θ = 143/145 and cos θ = -24/145 respectively. Option b. is the answer
How to determine the sine and cosine of the angle of point P?Given the coordinate of the point as P (-24/145, 143/145)
This implies x = -24/145 and y = 143/145
To determine the sine and cosine of the angle of point P, we can make a sketch using this information (see attached image).
opposite = 143/145, adjacent = -24/145
hypotenuse = √[(-24/145)² + (143/145)²] = √1 = 1
Using trigometric ratios:
sin θ = (143/145) / 1 = 143/145 [sin θ = opposite/ hypotenuse]
cos θ = (-24/145) / 1 = -24/145 [cos θ = adjacent/ hypotenuse]
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6 = 30 divided by blank
Answers
Answer:30 divided by 5 = 6
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
6 = 30/x
multiply both sides by x
6x = 30
divide both sides by 6
x = 30/6 = 5
I’ll mark u plz help
Answers
Answer:
D is the answer
Step-by-step explanation:
all sides and angles are equal
hope it helps!! let me know if it does
Marcus needs to find out the number of cakes he can make from a 50-pound bag of flour. If it takes 2 cups of flour to make one cake and there are 4 cups to every pound of flour, how many cakes can Marcus make with the bag of flour?
A. 5
B. 12
C. 20
D. 80
Answers
Answer:
100
Step-by-step explanation:
If 4 Cups = 50Lbs, then there will be 200 cups in 40Lbs.
Then if it takes 2 cups of flour to make a cake, 200 / 2 = 100.
The answer is (NOT LISTED): 100
A service center charges a fee of x dollars for an oil change plus y dollars per quart of oil used. A sample of its sales record
is shown.
1 Customer Oil Tank Size
(quarts)
DC
Total
Cost
$22 45
$25.45
3
Write a system of linear equations that represents this situation.
Answers
Answer:
x + 5y = 22.45
x + 7y = 25.45
Step-by-step explanation:
Given:
Customer A oil tank size = 5 quart
Customer B oil tank size = 7 quart
Total cost for A = $22.45
Total cost for B = $25.45
Find:
Equation
Computation:
So,
x + 5y = 22.45
x + 7y = 25.45
Identify whether each function is linear or exponential.
Function A:
Function C
Function D:
You have $200 in
a savings
account that
earns 1% annual
interest
b. Which function has the greatest growth factor? Justify your response.
Answers
Answer:
A)
Function A: Exponential
Function B: Linear
Function C: Exponential
Function D: Exponential
B) Function A
Step-by-step explanation:
Function A: This is exponential because- (1, 3)(2,9)(3,27)
It is not going up by the same number each time. However, it is multiplying by 3 each time which means it is exponential.
Function B: This is linear because- (1, 64)(1, 80)(1, 96)
It is going up by 16 each time, (a constant number) which means it is linear.
Function C: This is exponential because- there is a curve, linear is always a straight line. But, this has a curve which means it is exponential.
Function D: This is exponential because- It is increasing by a percentage and not a constant number. It is increasing by 1% which means it is exponential.
The function that has the greatest growth factor is Function A because, Function A multiplies by 3 each time. Function B is linear, exponential functions always pass linear functions despite how "steep" they are. Eventually, the exponential function will surpass it. Function C is also exponential but is not as "steep" as Function A. Function A multiplies by 3 each time but Function C increases less. Function D is also exponential, and for the same reasons as Function C, Function A has the greatest growth factor.
Find the intersection of the parabola y=x^2+4x+3 and the line x-y=-1
Answers
Answer:
1
Step-by-step explanation:
What is the length of AB?
A. 2
B. 6
C. 8
D. 4
Answers
Answer:
maybe ; the length of ab is 6
(a) Un ángulo mide 47°. ¿Cuál es la medida de su complemento?
(b) Un ángulo mide 149°. ¿Cuál es la medida de su suplemento?
Answers
El supplemento y el complemento de cada ángulo son, respectivamente:
Caso A: m ∠ A' = 43°
Caso B: m ∠ A' = 31°
¿Cómo determinar el complemento y el suplemento de un ángulo?De acuerdo con la geometría, la suma de un ángulo y su complemento es igual a 90° and la suma de un ángulo y su suplemento es igual a 180°. Matemáticamente hablando, cada situación es descrita por las siguientes formulas:
Ángulo y su complemento
m ∠ A + m ∠ A' = 90°
Ángulo y su suplemento
m ∠ A + m ∠ A' = 90°
Donde:
m ∠ A - Ángulom ∠ A' - Complemento / Suplemento.Ahora procedemos a determinar cada ángulo faltante:
Caso A: Complemento
47° + m ∠ A' = 90°
m ∠ A' = 43°
Caso B: Suplemento
149° + m ∠ A' = 180°
m ∠ A' = 31°
ObservaciónEl enunciado se encuentra escrito en español y la respuesta está escrita en el mismo idioma.
The statement is written in Spanish and its answer is written in the same language.
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Tickets for a reserved seat, r, for the basketball game cost $4 each and student tickets, s, cost $3 each. There were 1,787 people who attended the basketball game and a total of $5,792 was earned in ticket sales. Select the two equations that represent the situation.
A) r+s=5,792
B) r+s=1,787
C) 3r+4s=5,792
D) 4r+s=5,792
E) 4r+3s=5,792
Answers
The two equations which can be used to represent the situation are;
r + s = 1787
4r + 3s = 5,792
The correct answer choice is option B and E
Write two equations that represent the situation?Reserved seat for basketball game = r
Students seat for basketball game = s
Cost of reserved seat tickets = $4
Cost of students tickets = $3
Total number of people who attended the basketball game= 1,787 people
Total amount earned for tickets sales= $5,792
r + s = 1787
4r + 3s = 5,792
Therefore, the basketball game situation can be represented by the equation r + s = 1787; 4r + 3s = 5,792
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The perimeter of Marisa's garden is 32 feet. The width is 6 feet. What is the length of
Marisa's garden?
Answers
The length of Marisa's garden is 10
What is the length of Marisa's garden?The given parameters are:
Perimeter = 32 feet
Width = 6 feet
The perimeter is calculated as:'
Perimeter = 2 * (Length + width)
So, we have
2 * (Length + 6) = 32
Divide by 2
Length + 6 = 16
Subtract
Length = 10
Hence, the length of Marisa's garden is 10
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If pqrs is a rectangle pr=9x+1 qs=13x-11 find tr
Answers
Answer:
PR = 28
Step-by-step explanation:
Since PQRS is a rectangle, the diagonals PR and QS should have the same length. Therefore it holds:
\(9 x + 1 = 13 x - 11 \iff (13 - 9) x = 1 + 11 \iff x = \frac{12}{4} = 3\)
So, \(PR = QS = 9 \cdot 3 + 1 = 28\).
You meant PR, right? I don’t know what “tr” is.
Answer: 28 It’s the right Answer Good Luck‼️
Step-by-step explanation:
Use synthetic division to find the result when x^4-2x^2-4x-48 is divided by x-3
Answers
Answer: it’s x^3+3x^2+7x+17+3/x-3
Sorry ab the handwriting lol
Step-by-step explanation:
PLEASE HELP
Solve the following system algebraically. y = x^2 + 11 and y = –12x
Answers
Answer:
x^2+12x=-11
Step-by-step explanation:
Answer:
(-1, 12) and (-11, 132)
Step-by-step explanation:
If $4500 is invested at 10% annual interest, which is compounded continuously, what is the account balance after 3 years, assuming no additional deposits or withdrawals are made?
Answers
Answer:
$6074.36
Step-by-step explanation:
The formula for continuous compounding is
F = Pe^(rt)
F = $4500 × e^(0.1 × 3)
F = $6074.36
Answer: $6074.36
write an equation for a line that passes through (-2,1) with a slope of 2/3