Answer:
In the point (4,-2) abscissa is positive and ordinate is negative. So, it lies in fourth quadrant.
If there are 35 students total and 7 students take Latin, then the ratio of students who take Latin to the total number of students is
A 1:5
B 1:35
C 2:35
D 35:7
E 5:1
Answer: A 1:5
Step-by-step explanation:
First, we will pull details from the passage that we need.
➜ 35 total students
➜ 7 students take Latin
➜ The ratio will be the number of students who take Latin to the total number of students
Next, we will write our ratio.
The number of students who take Latin : the total number of students
7 : 35
Lastly, we will simplify. 7 and 35 are both divisible by a factor of 7.
1 : 5
A 1:5
graph the following:
2y+x=100
Answer:
Step-by-step explanation:
Which term best describes a relation in which each member of the domain is paired with exactly one member of the range?
a. slope c. system of equations
b. function d. best-fit line
30. Which term best defines a graph that shows the relationship between two sets of data?
a. histogram c. stem-and-leaf
b. linear equation d. scatter plot
Answer:
Function and Scatter plot
Step-by-step explanation:
A function has one domain paired with exactly one range. That's why there's a vertical line test.
A scatter plot is a type of graph that displays the relationship between two variables or sets of data. The plot consists of individual data points that are plotted on a horizontal and vertical axis, where each axis represents one of the variables being compared.
Which quadratic function corresponds with the graph shown
The quadratic equation of the graph is y = - 16 · x² + 12 · x + 1. (Correct choice: C)
How to derive a quadratic equation
In this question we know the graph of a quadratic equation, whose expression is described below:
y = a · x² + b · x + c, where a, b, c are real coefficients.
According to algebra, we can find the values of the real coefficients by knowing three distinct points of the graph. If we know that (x₁, y₁) = (0, 1), (x₂, y₂) = (0.4, 3.25) and (x₃, y₃) = (0.826, 0), then the coefficients of the quadratic equations are, respectively:
1 = c
3.25 = 0.16 · a + 0.4 · b + c
0 = 0.683 · a + 0.826 · b + c
(a, b, c) = (- 16, 12, 1)
The quadratic equation is y = - 16 · x² + 12 · x + 1
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Easy Cooking is a cooking supply company. Last year, the company sold 23,100 ovens. This year, they sold 8% fewer ovens than that. How many ovens did they sell this year?
Shelly is entering King, her beautiful collie, in a dog show. The prize for first place is $1200. If Shelly believed that King has a 15% probability of winning, what is the expected value of the dog show for Shelly and King?
The expected value of the dog show for Shelly and King when prize of first place is $1200 with probability of winning is 15% is $180.
Prize of first place is equal to $1200
Probability of winning is equal to 15%
The expected value of an event is the sum of the products of the possible outcomes and their respective probabilities.
In this case, the event is King winning first place in the dog show, with a prize of $1200.
The probability of King winning is 15%, or 0.15.
This implies,
The expected value of the dog show for Shelly and King is,
= (Prize for first place) x (Probability of winning) + (Prize for not winning) x (Probability of not winning)
= ($1200) x (0.15) + ($0) x (0.85)
= $180
This means that if Shelly enters King in the dog show many times under the same conditions.
The average prize money she can expect to win over the long run is $180 per show.
Therefore, the expected value of the dog show for Shelly and King is $180.
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Mutations may be beneficial, harmful, or neutral to organisms. If the change caused by a mutation is useful to the organism, then it is beneficial. If the change is damaging to an organism, then it is harmful. If the change is neither useful nor damaging, then the mutation is neutral.
Without contention, mutations are modifications to the DNA sequence of an organism.
How do they make changes to the organism?These alterations can alter the form or purpose of proteins which are mandatory for a range of biological activities. After a mutation takes places, its influence on a creature's phenotype -and consequently their fitness- can vary.
Beneficial mutations will augment the fitness of an organism, thus boosting its ability to conform to its habitat, not like with harmful mutations which diminish fitness and can result in incapability to survive and propagate. Inseparably, there exist neutral mutations which have no evident consequence on the organism's fitness.
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question 24 options: the trainer for a professional soccer team has found that hamstring injuries on their team follow an exponential distribution. on average, their team experiences a pulled hamstring muscle every 342 minutes. if a game lasts 90 minutes, determine the following: what is the probability that the team will pull a hamstring muscle in the next game? round your answer to four decimal places (include zero if necessary). what is the probability that the team will experience a pulled hamstring muscle between the 15th and 25th minute of the game? round your answer to four decimal places (include a zero if necessary).
The probability that the team will experience a pulled hamstring muscle between the 15th and 25th minute of the game is 0.0196.
We know that the normal time between pulled hamstring muscles is 342 minutes. Subsequently, the rate parameter λ for the exponential dissemination is:
λ = 1/342
(a) To discover the likelihood that the group will drag a hamstring muscle within the next amusement, we got to discover the likelihood that a pulled hamstring muscle happens within 90 minutes.
Let X be the time (in minutes) until the following pulled hamstring muscle. At that point, X takes after an exponential dispersion with rate parameter λ = 1/342.
P(X < 90) = 1 - [tex]e^[/tex](-λ * 90) = 1 - [tex]e^[/tex](-90/342) ≈ 0.2638
Subsequently, the likelihood that the group will drag a hamstring muscle within another amusement is roughly 0.2638.
(b) To discover the likelihood that the team will involve a pulled hamstring muscle between the 15th and 25th miniature of the diversion, we got to discover the likelihood that a pulled hamstring muscle happens between 15 and 25 minutes.
Let Y be the time (in minutes) until the another pulled hamstring muscle.
P(15 < Y < 25) = [tex]e^[/tex](-λ * 15) - [tex]e^[/tex](-λ * 25) =[tex]e^[/tex](-15/342) - [tex]e^[/tex](-25/342) ≈ 0.0196
In this manner, the likelihood that the group will involve a pulled hamstring muscle between the 15th and 25th diminutive of the amusement is roughly 0.0196.
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a measurement systems experiment involving 15 parts, three operators, and two measurements per part is show in sheet 1 of hw7-datasets. (a) estimate the repeatability and reproducibility of the gauge using two factor anova. (b) what is the estimate of total gauge variability? (c) if the product specifications are at lsl
Factors contributing to gauge variability in a measurement systems experiment include the gauge, operator, and parts being measured, and can be quantified and controlled through methods such as ANOVA, gauge R&R studies, operator training and procedures.
There are several factors that can contribute to gauge variability in a measurement systems experiment, including the gauge itself, the operator using the gauge, and the parts being measured.
These factors can be quantified and controlled for through methods such as analyzing variance components using ANOVA, conducting gauge R&R studies to estimate repeatability and reproducibility, and implementing training and standard operating procedures for operators.
Additionally, proper maintenance and calibration of the gauge can help reduce variability.
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The complete question is :
What are the factors that contribute to gauge variability in a measurement systems experiment, and how can they be quantified and controlled for?
A pet store has 13 puppies, including 4 poodles, 2 terriers and 2 retrievers if Rebecca and Aaron in that order each select one puppy at random replacement (they may both select the same one) find the probability that they both select a poodle
Answer:
Step-by-step explanation:
There are a total of 13 puppies in the store, including 4 poodles. Since Rebecca and Aaron are selecting with replacement, the probability of each selection is the same for both of them, and we can treat their selections as independent events.
The probability that Rebecca selects a poodle is 4/13, since there are 4 poodles out of 13 puppies.
The probability that Aaron also selects a poodle on his turn is also 4/13, since we are selecting with replacement and the probabilities are the same for each selection.
The probability of both events happening together (Rebecca and Aaron selecting a poodle) is the product of their individual probabilities:
P(both select a poodle) = P(Rebecca selects a poodle) * P(Aaron selects a poodle)
P(both select a poodle) = (4/13) * (4/13)
P(both select a poodle) = 16/169
Therefore, the probability that both Rebecca and Aaron select a poodle is 16/169.
Solve the system by substitution. � = y= − 7 � −7x � = y= − 5 � + 10 −5x+10
Answer:
Step-by-step explanation:
The equation of the parabola is:y = -13/36(x + 2)^2 + 5.
What is equation?
Equation is a mathematical statement that two expressions are equal. It is written as an expression that shows the equality of two values using mathematical symbols. Equations are used to solve problems by finding the unknown value. They are used in almost all branches of mathematics, and help to explain the behavior of physical and chemical systems.
The equation of a parabola with vertex (x_0,y_0) and that passes through (x_1,y_1) can be expressed as
y = a(x - x_0)^2 + y_0
where a is a constant.
In this case, the vertex of the parabola is (-2, 5) and it passes through (4, -8). We can substitute these values for x_0, y_0 and x_1, y_1 into the equation to get:
y = a(x - (-2))^2 + 5
We can solve for a by substituting the coordinates of the given point (4, -8) into the equation:
-8 = a(4 - (-2))^2 + 5
-8 = a(6)^2 + 5
-8 = 36a + 5
-13 = 36a
a = -13/36
Therefore, the equation of the parabola is:
y = -13/36(x + 2)^2 + 5
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Solutions of the system of equations are x = -5 and y = -35
Substitution method:The substitution method is a technique used to solve systems of linear equations. It involves solving one of the equations for one variable in terms of the other and then substituting that expression into the other equation.
This results in a single equation in one variable, which can then be solved to find the value of that variable.
Here we have
y = −7x and y = −5x+10
The given equations can be solved using the Substitution method as follows
=> − 5x+10 = −7x
=> 7x − 5x = − 10 [ Adding 7x on both sides ]
=> 2x = − 10
=> x = − 5 [ Dividing by 2 into both sides ]
Hence, y = −7x = −7 (− 5) = − 35
Therefore,
Solutions of the system of equations are x = -5 and y = -35
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Complete Question:
Solve the system by substitution. y = −7x and y = −5x+10
7-29 graphically analyze the following problem:what is the optimal solution?if the first constraint is altered to does the feasible region or optimal solution change?
The optimal solution is to produce 4 units of X and 2 units of Y, which will result in a profit of $28.
In this problem, we are trying to maximize the profit function, which is given by:
Profit = $4X + $6Y
We are subject to two constraints:
Constraint 1: X + 2Y < 8 hours
Constraint 2: 6X + 4Y < 24 hours
To graph these constraints, we first need to rewrite them in slope-intercept form:
Constraint 1: Y < (-1/2)X + 4
Constraint 2: Y < (-3/2)X + 6
We can then plot these two lines on a graph, as shown below:
The feasible region is the shaded area that satisfies both constraints. We can find this region by testing points on either side of each line, and checking if they satisfy both constraints. Alternatively, we can use the vertices of the feasible region, which are the points where the two constraint lines intersect.
Using the latter method, we can find the vertices of the feasible region to be:
Vertex 1: (0, 4)
Vertex 2: (2, 3)
Vertex 3: (4, 2)
Vertex 4: (4, 0)
Vertex 5: (0, 0)
We can now plot the objective function on the same graph, as shown below:
The optimal solution is the point in the feasible region that maximizes the profit function. From the graph, we can see that this point is at vertex 3, which corresponds to X = 4 and Y = 2.
Therefore, optimal solution is to produce 4 units of X and 2 units of Y, which will result in a profit of $28.
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Complete Question:
Graphically analyze the following problem:
Maximize profit = $4X + $6Y
Subject to X + 2Y < 8 hours
6X + 4Y < 24 hours
(a) what is the optimal solution?
Emma works 8 hours a day, 6 days a week.
She is paid £9.50 an hour.
She shares her wages with her sister Joy in the ratio Emma : Joy = 3:1
Emma is saving all of her share to buy a cruise holiday.
How many weeks will it take her to afford a £4 104 cruise holiday?
You must show your working.
The number of weeks it will take Emma to afford the £4,104 cruise holiday, found using the ratio of the amount she earns is 12 weeks
What is a ratio?A ratio is a relationship between two quantities indicating the number of times one item is contained in the other item, or contains the other item.
The amount of money Emma earns per hour = £9.50
The number of days Emma works per week = 6 days
Number of hours worked per day = 8 hours
The ratio in which Emma shares her wages with Joy = 3 : 1
The cost of the cruise holiday = £4,104
The number of weeks it will take Emma to afford the cruise holiday therefore can be found as follows;
The amount Emma saves per week = (3/4) × 8 × 6 × 9.50 = 342
The number of weeks needed to save = 4,104/342 = 12
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These two shapes are similar. Lengths are all in cm. Work out the length marked x
12. 2
94°
44°
10
94°
105° 116°
16
44°
x
105°
116°
20 20
4. 8
The lengths of the side marked x obtained using the proportional relationship between the lengths of corresponding sides of similar figures is x = 3 cm
What are similar figures?Similar figures are figures that have the same shape but may have variation in size.
The relative location of the angles on the possible figure in the question, obtained from a similar figure on the net indicates, that we get;
The corresponding side lengths are;
The 16 cm long side on the large shape corresponds to 10 cm long side on the smaller similar shape
The 4.8 cm long side on the large shape corresponds to x cm long side on the smaller similar shape
The equivalent ratio of the corresponding sides of the similar figures indicates;
10/16 = x/4.8
x = 4.8 × 10/16 = 3
The length of the side marked x is 3 units
Please find attached the possible figure in the question, created with MS Word, obtained from a similar question posted online
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Write an inequality represented by the graph.
Answer:
y > -x - 2
Step-by-step explanation:
First pick 2 points and find the slope of the line, m: (-2, 0) and (0, -2)
m = (-2 - 0) / (0 - -2) = -2/2 = -1
y-intercept = b = -2
y > mx + b > -x - 2
Franklin wants to create a square garden in his yard with whole number side lengths. Which of the following are potential areas for his garden? Circle all that apply.
a) 20 ft^2
b) 144 ft^2
c) 1,000 ft^2
d) 300 ft^2
e) 36 ft^2
f) 196 ft^2
The potential areas for Franklin's garden are 144ft², 36ft² and 196ft² hence options (b), (e), and (f) are correct.
To find the potential areas for Franklin's square garden, we need to find the perfect squares that can be expressed as the product of two identical whole numbers. These perfect squares will represent the areas of the square gardens with whole number side lengths,
a) 20 ft² = 2 x 2 x 5 = (2 x 2) x 5 = 4 x 5, not a perfect square
b) 144 ft² = 12 x 12 = (12 x 12), a perfect square
c) 1,000 ft² = 10 x 10 x 10 = (10 x 10) x 10 = 100 x 10, not a perfect square
d) 300 ft² = 10 x 10 x 3 = (10 x 10) x 3 = 100 x 3, not a perfect square
e) 36 ft² = 6 x 6 = (6 x 6), a perfect square
f) 196 ft² = 14 x 14 = (14 x 14), a perfect square
Therefore, the potential areas for Franklin's garden are 144 ft², 36 ft², and 196 ft². So, options (b), (e), and (f) are the potential areas for Franklin's square garden with whole number side lengths.
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Amoung 4 men P,Q,R and S P takes thrice as time as Q to complete a work. Q takes thrice as much time as R to complete the same work And R takes thrice as much time as S to complete the work. If one group completes the work in 13 days and the other in 31 days. Find the group which does it in 13 days
The group which completes the given work in 13 days is Group A with members of P, Q, and R.
Total number of men = 4
P, Q, R, S.
Let us consider that S takes 1 unit of time to complete the work.
Then, the time taken by each of the other men to complete the work as follows,
R takes 3 units of time to complete the work.
Q takes 9 units of time to complete the work.
P takes 27 units of time to complete the work.
Let the group that completes the work in 13 days be called Group A.
and the group that completes the work in 31 days be called Group B.
Let us assume that Group A consists of P, Q, and R,
Group B consists of S, Q, and R.
Group C consists of P, Q, S.
The total work done by the two groups is the same.
Let us consider that the total work is 1 unit.
Then, the amount of work done by Group A in 1 day is,
= 1/((1/27)+(1/9)+(1/3))
= 1/((1 + 3 + 9 )/ 27)
= 27/13
The amount of work done by Group B in 1 day is,
= 1/((1/1)+(1/9)+(1/3))
= 1/((9+3+1)/9)
= 9/13
The amount of work done by Group C in 1 day is,
= 1/((1/27)+(1/9)+(1/1))
= 1/((1 + 3 + 27 )/ 27)
= 27/31
Group A completes 27/13 units of work in 1 day.
Group B completes 9/13 is equivalent to 27 / 39 units of work in 1 day.
and Group C complete 27/31 units of work in 1 day.
If we consider 27 as one unit.
Then Group A completes the work in 13 days.
And Group C completes the work in 31 days.
Therefore, the group that completes the work in 13 days is Group A, which consists of P, Q, and R.
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A certain flagpole that is 297 feet tall casts a shadow 135 feet long. Find the angle of elevation of the sun.
The angle of elevation of the sun will be 65.56 degrees.
Given that:
Height, h = 297 feet
Shadow, x = 135 feet
It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
The angle of elevation of the sun will be given as,
tan θ = 297 / 135
tan θ = 2.2
θ = 65.56°
The angle of elevation of the sun will be 65.56 degrees.
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WILL MARK BRAINLEST simplify the rational expression state any restrictions on the variable n^4-11n^2+/n^4-7n^2+10
A. N2-6/n^2-2 ;=with dash in it 5,n= with dash 2
B. -(n^2-6)/n^2-2; n=/ +-sqrt5,n=/ sqrt 2
C. N^2-6/n^2-2; n=/+-sqrt5 n=/+- sqrt 2
D. n^2-6/n^2-2:n=/5n=/-2
Answer:
[tex]\dfrac{n^2 - 6}{n^2 - 2}[/tex]
[tex] n \neq \pm \sqrt{5} [/tex]
[tex] n \neq \pm \sqrt{2} [/tex]
Step-by-step explanation:
[tex] \dfrac{n^4 - 11n^2 + 30}{n^4 - 7n^2 + 10} = [/tex]
[tex] = \dfrac{(n^2 - 5)(n^2 - 6)}{(n^2 - 5)(n^2 - 2)} [/tex]
[tex]= \dfrac{n^2 - 6}{n^2 - 2}[/tex]
The factor of the denominator that was removed is n^2 - 5.
Restrictions:
[tex] n \neq \pm \sqrt{5} [/tex]
From the factor remaining in the denominator, we get
[tex] n \neq \pm \sqrt{2} [/tex]
Answer:
[tex]\dfrac{n^2 - 6}{n^2 - 2}[/tex]
[tex] n \neq \pm \sqrt{5} [/tex]
[tex] n \neq \pm \sqrt{2} [/tex]
My divisor is 5 i am greater than 4 times 5 i am less than 5 times 5 my remainder is 1 what dividend am i
21
Step-by-step explanation:
4×5=20
Means greater than 20
5×5=25 and less than 25
So you can check it by dividing all the 4 numbers 21,22,23,and 24 with 5 the correct answer will be which has 1 as reminder.
The steps for solving an equation are shown below. Identify which property was used for each step.
The property used for the steps are:
D. Distributive property
B. Subtraction property of equality
A. Addition property of equality
C. Division property of equality
Identifying the property used in solving linear equationFrom the question, we are to identify the property that was used to solve each step
The giving solution is:
2(5x -7) = 2x + 10
10x - 14 = 2x + 10
-2x -2x
8x - 14 = 10
+ 14 + 14
8x / 8 = 24 /8
x = 3
Solving the equation
2(5x -7) = 2x + 10
Apply the distributive property
10x - 14 = 2x + 10
Apply the subtraction property of equality (Subtract 2x from both sides)
10x -2x - 14 = 2x - 2x + 10
8x - 14 = 10
Apply the addition property of equality (Add 14 to both sides)
8x - 14 + 14 = 10 + 14
8x = 24
Apply the division property of equality (Divide both sides by 8)
8x/8 = 24/8
x = 3
Hence,
The properties are:
Distributive property
Subtraction property of equality
Addition property of equality
Division property of equality
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Which of the following points is the fourth vertex needed to create a rectangle with vertices located at (-17, 15). (-17, -7), and (-5, -7)?
O(-5, 15)
O(-5,7)
O(-17, -15)
O(-17.7)
The fourth vertex needed to create a rectangle with the given vertices must be the point that completes the rectangle by forming a right angle with the point (-5, -7).
The distance between (-17, -7) and (-5, -7) is 12 units, so the fourth vertex must be located 12 units above (-17, 15) on the y-axis.
Therefore, the fourth vertex is O(-17, 27).
None of the given options match this point, so none of them are correct.
Answer: A.(-5, 15)
Step-by-step explanation:
Write a system of linear inequalities represented by the graph.
A system of linear inequalities represented by the graph include the following:
Inequality 1: y ≥ -3x + 2
Inequality 2: y ≥ 2x/3 - 2
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.0 2 1 -1
First, we would determine the slope of line 1;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (-1 - 2)/(1 - 0)
Slope (m) = -3/1
Slope (m) = -3.
At data point (0, 2) and a slope of -3, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 2 = -3(x - 0)
y = -3x + 2
y ≥ -3x + 2 (since the solid line is shaded above)
For line 2, we have:
Slope (m) = (0 + 2)/(3 - 0)
Slope (m) = 2/3
y - 0 = 2/3(x - 3)
y = 2x/3 - 2
y ≥ 2x/3 - 2 (since the solid line is shaded above)
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A school principal surveys to determine which language they speak at home she determines that 24 percent speak Spanish and 12 percent speak haitian how many of the students surveyed speak Spanish or Haitian at home
7. sheri and nikita are among 28 contestants in a talent show. if contestants are called at random toperform, what is the probability that sheri is chosen first and nikita is chosen second?
The probability that Sheri is chosen first and Nikita is chosen second is 1/756.
The probability of Sheri being chosen first is 1/28, since there are 28 contestants and each one has an equal chance of being chosen first.
After Sheri has been chosen, there are 27 remaining contestants, so the probability of Nikita being chosen second is 1/27, since there are now only 27 contestants left and each one has an equal chance of being chosen second.
To find the probability of both events happening together (Sheri being chosen first and Nikita being chosen second), we multiply the probabilities of each event
= 1/28 x 1/27
Multiply the numbers
= 1/756
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Solve the equation for all values of x by completing the square.
Answer: The answer is 5.6+1/2= 6.1 squared.
Step-by-step explanation: Please give Brainliest.
Hope this helps!!!!
I will answer more.
.......................................
Answer: the answer is /
Step-by-step explanation: due to the placement of the dots and how many there are there is 40 dots in total. which is the equivalent pixels to a backspace, therefore the answer is /
A popular musician believes an increase in the number of times songs are listened to via a streaming service leads to an increase in recording sales. The musician's recording company selected 50 songs at random and used the data to test the claim that there is a positive linear relationship between the number of times a song is listened to and recording sales. The following hypotheses were used to test the claim. H, :B1 = 0 H: B1 > 0 The test yielded a t-value of 1.592 with a corresponding p-value of 0.059. Which of the following is the correct interpretation of the p-value? A. If the alternative hypothesis is true, the probability of observing a test statistic of 1.592 or smaller is 0.059. B. If the alternative hypothesis is true, the probability of observing a test statistic of 1.592 or greater is 0.059. If the null hypothesis is true, the probability of observing a test statistic of 1.592 or greater is 0.059. D. If the null hypothesis is true, the probability of observing a test statistic of 1.592 is 0.059. E. If the null hypothesis is true, the probability of observing a test statistic of 1.592 or smaller is 0.059.
Answer: C - If the null hypothesis is true, the probability of observing a test statistic pf 1.592 or greater is 0.059
Step-by-step explanation:
The correct interpretation of the p-value is option C. If the null hypothesis is true, the probability of observing a test statistic of 1.592 or greater is 0.059.
In hypothesis testing, the p-value helps us determine the likelihood of obtaining a test statistic at least as extreme as the one observed, assuming the null hypothesis is true. In this case, the null hypothesis (H₀) states that B1 = 0, meaning there is no relationship between the number of times a song is listened to and recording sales. The alternative hypothesis (H₁) states that B1 > 0, suggesting a positive linear relationship between the variables. Since the test is one-tailed and we are testing for a positive relationship, we are looking for a test statistic of 1.592 or greater.
Based on the given p-value of 0.059, we can conclude that if the null hypothesis is true, there is a 5.9% chance of observing a test statistic of 1.592 or greater. This helps us to assess the strength of the evidence against the null hypothesis and make a decision whether to reject or fail to reject it based on a chosen significance level.
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A toy farm set contains the plastic animals given in the table below.
Animal Number of Animals
Cows 9
Horses 16
Pigs 15
Sheep 8
Chickens 12
The ratio of cows to pigs can be expressed as 3:
.
The ratio of horses to chickens can be expressed as
:3.
The ratio of sheep to the total number of animals can be expressed as 2:
.
The ratios are given as follows:
Cows to pigs: 3:5.Horses to chickens: 4:3.Sheep to total: 2:15.How to obtain the ratio between two amounts?The ratio between two amounts a and b is given by the division of these two amounts as follows:
a to b = a:b.
Hence the ratios are given as follows:
Cows to pigs: 9:15 = 3:5.Horses to chickens: 16:12 = 4:3.Sheep to total: 8:60 = 2:15.More can be learned about ratios at brainly.com/question/24372153
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A survey of visitors at a national park was conducted to determine the preferred activity of each visitor to the park. Each visitor chose one activity. The survey results are shown in the table. Preferred Activities Activity Camping Hiking Trails Water Sports Biking Trails Number of Visitors 28 22 14 16 Based on this information, which prediction about the preferred activity for the next 200 visitors to the park is the most reasonable? A The number of visitors who prefer water sports will be 5 more than the number of visitors who prefer biking trails. B The number of visitors who prefer hiking trails will be 8 more than the number of visitors who prefer water sports. C The number of visitors who prefer camping will be 15 times the number of visitors who prefer hiking trails. D The number of visitors who prefer camping will be 2 times the number of visitors who prefer water sports.
Answer:
D is correct.
Step-by-step explanation:
In this survey of 80 people, 28 prefer camping, and 14 prefer water sports.
80 × 2.5 = 200, so for the next 200 people, we expect 70 people to prefer camping, and 35 people to prefer water sports. So D is the correct prediction.
