56 boys and 34 girls visit a zoo.
46 of these children have a voucher.
Three times as many boys as girls do not have a voucher.
Complete the frequency tree
Answers
The frequency tree will be:
Total Visitor of Zoo: 90Boys = 56Girls = 34Voucher = 46No voucher = 44Tree imagination attached as image below.
The Frequency Tree and RatioThis question can be answered by calculating the ratio of boys to girls and the number of people with and without vouchers.
To find the total number of people visiting the zoo, simply add the number of boys (56) to the number of girls (34) to get 90. To find the ratio of boys to girls, divide the number of boys (56) by the total number of people (90) to get 62%. Divide the number of girls (34) by the total number of people (90) to get 38%. To find the number of people with and without vouchers, divide the number of people with vouchers (46) by the total number of people (90) to get 51%. Divide the number of people without vouchers (44) by the total number of people (90) to get 49%. This information can be used to determine the total number of people visiting the zoo, the ratio of boys to girls, and the number of people with and without vouchers.Learn more about The Frequency Tree and Ratio here:
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Related Questions
two of the six-membered rings are represented in chair conformations. the connection between these two rings is analogous to
Answers
When two of the six membered rings are represented in chair conformations, the connection between these two rings is analogous to cyclohexane bridge.
A "cyclohexane bridge," where the two six-membered rings are connected by two carbon atoms, which act as a bridge between them. The conformation of this bridge can vary, and it is often depicted as a zigzag line in organic chemistry diagrams.
The exact conformation of the bridge and the two chair conformations of the rings will depend on the specific molecule being discussed.
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-- The given question is incomplete, the complete question is
"When two of the six membered rings are represented in chair conformations, the connection between these two rings is analogous to _______" --
AP Calculus...
May I have a little help...
Answers
You posted way too many questions. The rule is one question at a time.
I'll answer question 14 to get you started.
We are told that
f(4) = -1f(6) = 1The values -1 and 1 don't really matter. All we care about is the sign change from negative to positive or vice versa. This sign change tells us that f(x) must be zero at least once in the interval [4, 6]. Refer to the intermediate value theorem for more information. Therefore, we have at least one root in the interval [4, 6].
Visually you can think of it like being in United States (below the x axis; negative territory) and then moving to Canada (above the x axis; positive territory). Since f(x) is a continuous function, the curve must cross the border at least once. The border represents the x axis. The term "root" is another way of saying "x intercept".
The previous paragraphs all help point to the fact that statement I is valid. Unfortunately, we don't have enough information to determine if statement II is valid or not. The function f(x) may have an absolute max on this interval, or it may not. We would need info about its derivative.
----------------
Answer to problem 14 is "I only" which is choice B.
if f(x) is the slope of a trail at a distance of x miles from the start of the trail, what does 9 7 f(x) dx represent? the elevation at x
Answers
The function f(x) is the sloping trail, it is the ratio of the change in the trail's height over the change in the trail's length.
It is the same as the rate of change of an evaluation of the trail, which is the derivative of a function that gives us the elevation. Thus, for a function F(x) that gives us the elevation, f(x)=F(x).
When we integrate a derivative, we can form a rate of change to total change. Thus integrating f(x) over an interval then the total change in elevation within that interval.
In this case, we will have to solve the integral:
[tex]\int\limits^9_7 {f(x)} \, dx[/tex]
The bounds of integration are 7 to 9, so this calculates the total change in elevation between 7 to 9, which is the total change in the elevation in the first seven miles of the trail.
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Ethan starts an IRA (Individual Retirement Account) at the age of 34 to save for retirement. He deposits $400 each month. Upon retirement at the age of 65, his retirement savings is $709,165.25. Determine the amount of money Ethan deposited over the length of the investment and how much he made in interest upon retirement.
Answers
Ethan deposited amount $144,000 over 31 years and made a total of $565,165.25 in interest.
Ethan's total deposit amount to his IRA was $144,000 ($400 per month for 31 years). The total amount he had in his IRA upon retirement was $709,165.25. This means that he made a total of $565,165.25 ($709,165.25 - $144,000) in interest over the length of the investment. This amount was likely made up of a combination of capital gains, dividends, and other investment returns. It is important to note that the interest rate can vary depending on the type of investments chosen, so this amount may be higher or lower depending on the types of investments made.
1. Calculate the total number of months Ethan invested for: 31 years x 12 months = 372 months
2. Calculate the total amount deposited: $400 per month x 372 months = $148,800
3. Calculate the total amount upon retirement: $709,165.25
4. Calculate the total interest made: $709,165.25 - $148,800 = $565,165.25
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Find the next term in the series: 2, 5, 14, 41, x
Answers
2 * 2 + 2 - 1 = 5
2 * 5 + 5 - 1 = 14
2 * 14 + 13 - 1 = 41
2 * 41 + 41 - 1 = 122
For organisms which need a partner for reproduction but rely on a chance encounter for meeting a mate, the birth rate is proportional to the square of the population. Thus, the population of such a type of organism satisfies a differential equation of the formdP/dt=aP2−bPwith a,b>0.Sketch a graph of dP/dt against P. Note when dP/dt is positive and negative.
Answers
The graph of dP/dt against P is a parabola, with the equation of the form [tex]y = ax^2 - bx[/tex] where a and b are positive parameters.
The graph has a vertex at [tex](b/2a, -b^2/4a)[/tex].
When P is less than b/2a, dP/dt will be positive, meaning the population is increasing. As P increases, dP/dt will reach a maximum at (b/2a, -b^2/4a) and then decrease, meaning the population is decreasing. When P is greater than [tex]b/2a, dP/dt[/tex] will be negative.
For example, if a = 4 and b = 1, the graph of dP/dt against P is [tex]y = 4x^2 - x[/tex], with the vertex at (0.5, -0.125). When P is less than 0.5, dP/dt will be positive, and when P is greater than 0.5, dP/dt will be negative.
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I need help this can anybody help me
Answers
By transitive property, proved RQ is parallel to SU.
What are parallel lines?Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions.
Given that,
RS║VT
∠6≅∠3
To prove: RQ║SU
RS║VT (Given)
∠6≅∠3 (Given)
∠5≅∠3 (Alternate interior angles between the parallels RS and VT)
Now, ∠6≅∠5 (Transitive property)
Since, ∠6 is congruent to ∠5, then they are alternate angles between RQ and SU.
Then, RQ║SU
Hence, proved RQ is parallel to SU.
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Please help!! Urgent!
Answers
The values x = -1 and x = 7 are the real solutions of the given graph.
Finding the roots of a cubic graphical equationA cubic formula incorporating the nth roots, the four fundamental operations of arithmetic, and the four coefficients (radicals).
The required real roots for the function f(x) = 0 are the points where the given curve intersects the x-axis on the graph.
From the given graph, we can see that the real solution of the given graph are x = -1 and x = 7.
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Luke melts 200 grams of dark chocolate that contains 60% cocoa and mixes it with 200 grams of milk chocolate that contains 30% cocoa.
Answers
There are 180 grams of cocoa in the resulting mixture.
When the 200 grams of dark chocolate and the 200 grams of milk chocolate are mixed together, the amount of cocoa in the mixture is found by adding the amount of cocoa in each type of chocolate.
First, the amount of cocoa in the dark chocolate is calculated by multiplying the total weight of the dark chocolate by its cocoa percentage:
200 grams(0.60) = 120 grams
Next, the amount of cocoa in the milk chocolate is calculated in the same manner:
200 grams(0.30) = 60 grams
Finally, the total amount of cocoa in the mixture is found by adding the amount of cocoa in each type of chocolate:
120 grams + 60 grams = 180 grams
Therefore, the total amount of cocoa in the resulting mixture is 180 grams.
The problem seems incomplete, it must have been...
"Luke melts 200 grams of dark chocolate that contains 60% cocoa and mixes it with 200 grams of milk chocolate that contains 30% cocoa. How many grams of cocoa are in the resulting mixture?"
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Juliet's monthly entertainment expenses are $275.00 and account for 12% of her income. She would like to reduce her entertainment spending to 8% of her income.
Answers
The percentage of her income is 17.9%
What percent of her income is that amount?Percentage can be calculated by using the following rule:
Percentage = (fraction/total) x 100
Now, for this problem, the fraction of money used for expenses is 275$ while the total amount is 1536$
Substitute with these values in the above equation:
percentage = (275/1536) x 100 = 17.9%
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Correct question:
Juliet's budgets $275 each month for fixed expenses. What percent of her income is that amount if she nets $1536 each month?
Un auto recorre 50 km desde el punto o al punto P con dirección al Este y
¿Como se expresa la posicion del punto P? es urgente es de números
positivos y negativos
Answers
Assuming that "in an easterly direction" means that the displacement from O to P is in the positive direction, the position of point P can be expressed as +50 km.
What are the expressions of positive and negative numbers?Positive numbers are typically expressed with no sign or with a plus sign (+) in front of them. For example, +5 or 7. Negative numbers are expressed with a minus sign (-) in front of them. For example, -3 or -10.
These expressions are used to differentiate between values that are greater than zero (positive) and those that are less than zero (negative).
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pls help me dont understand
Answers
Answer: -3/5
Step-by-step explanation:Where is says f(3/5), plug the value of 3/5 wherever you see x. In this case it would be after the negative 5 and positive 2. Solve the rest using basic addition,subtraction, and multiplication rules. The answer should turn out to be -3/5/
Jake paints 13 birdhouses red. He wants 7 yellow. How many more does he paint red than yellow? Use the strategy Make 10 to subtract
Answers
As per unitary method, Jake painted 6 more birdhouses red than yellow.
The Unitary Method is a strategy used to simplify mathematical calculations. The idea is to make the calculation easier by breaking down the numbers into smaller parts and then recombining them to find the final answer.
In this problem, we want to find out how many more birdhouses Jake painted red than yellow. To do this, we'll use the Unitary Method to subtract 7 from 13.
Starting with the larger number, we'll break down 13 into 10 and 3. We can then subtract 7 from 10 and find that there is a difference of 3.
This means that we have 3 left over from the larger number, which we can add to the smaller number (3) to find the final answer.
Therefore, the final answer is 3 + 3 = 6.
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An automat machine make good pieces with a probability 0,96. Wich are the chances that the two piece is wrong?
Answers
To calculate the probability of getting two bad pieces in a row, we multiply the probabilities of each individual bad piece that is 0.96 and 0.04
0.04 * 0.04 = 0.0016
So the chances of getting two bad pieces are 0.0016, or 0.16%. This means that out of 100 tries, you would expect to get two bad pieces in a row 0.16 times.
It's vital to remember that independent events, like obtaining two terrible pieces, have probabilities that are determined by multiplying the individual possibilities.
This is based on the idea of the multiplication rule of probability, which states that the likelihood of two unrelated events occurring simultaneously is the sum of the probabilities of each event occurring separately.
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Find the geometric mean of √7 and √343.
Answers
Answer: 7 √7
Step-by-step explanation: If you find the greatest common factor of 343, you get 49 and 7 and 49 breaks down to 7 and 7. you now have 3 7's. You now group two of those sevens and bring it out of the radical, leaving one 7 under the radical. This gives you 7 √7.
Which fraction is equivalent to 0.23?
OA /
О в.
O C.
O D.
231
990
23
99
23
100
OE. /
Answers
Answer:
23/100
Step-by-step explanation:
A blog refers to a website that contains a personal journal. According to one analyst, over a several year period, the number of blogs in existence followed a certain pattern. The analyst estimated that there were about 60,000 blogs in the first year, 120,000 in the second year, and 240,000 inthe third
. If the analyst was correct, how many blogs were there in the 5th year?
Answers
Answer:
960,000
Step-by-step explanation:
Every year, the number of blogs doubled.
The first year:60,000
The Second year: 120,000
The third year: 240,000
The fourth year: 480,000
The fifth year: 960,000
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What is the difference between qualitative forecasting techniques and quantitative forecasting techniques?
Answers
The difference between qualitative forecasting techniques and quantitative forecasting techniques is:
Quantitative projections frequently rely on historical information, like past sales and income numbers, production and financial reports, and website visitor statistics. You may use seasonal sales data, for instance, to estimate the production and labour requirements for the upcoming year based on the monthly or quarterly results from the previous year. Additionally, statistical modelling, trend analysis, or other information from authoritative sources like governmental organisations, professional groups, and academic institutions are used in quantitative forecasting.
Techniques for qualitative forecasting are derived from the knowledge and intuition of seasoned business professionals. These forecasting methods involve data interpretation together with the expert knowledge you've gained through years of work experience, so they go beyond simple guesswork. For instance, if you require qualitative data to predict sales for the year, you may calculate the influence of a new advertising campaign or promotion your business is preparing, consider the implications of emerging technology for customer behaviour, and consider current social fads and trends.
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The cost, $C, of hiring a car for d days when on holiday is given by C = 20d + 50.
- Draw a graph of C against d for 0 ≤ d ≤ 7.
Answers
Your limits for your “d” (x axis) are equal to or greater than 0 and less than or equal to 7
Your x axis is labeled “d” with 0 - 7
Your y axis is labeled C
Your y intercept (starting point on y axis) is 50
Your (0, 50) starting point and (7, 190) reflect these limits
The graph of C against d for 0 ≤ d ≤ 7 is a straight line passing through (0, 50), (1, 70), ...
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Linear equations may include one or more variables.
Given is an equation,
C = 20d + 50
We have to find the graph of the equation.
The points on the graph will be,
C(0) = 50
C(1) = 70
C(2) = 90
.........
The graph will be a straight line passing through (0, 50), (1, 70), (2, 90), ...
The graph is given below.
Hence the graph will be a straight line passing through (0, 50), (1, 70), ...
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rewrite this question without any fractions or decimals, ill give points if u help thx
Answers
Answer:
14x + 36 = 15
Step-by-step explanation:
To remove the fractions, multiply the entire equation by the LCM of 9 and 6.
LCM of 9 and 6 = 18
Multiply the entire equation by 18,
[tex]18*\dfrac{7}{9}x+*18*2=18*\dfrac{5}{6}[/tex]
2*7x + 36 = 3 *5
14x + 36 = 15
Let's consider what the question asks for:
--> equation without fractions:
To get rid of fractions, we must multiply a common multiple of 9 and 6 to get rid of the bottom denominator:
--> common multiple of 9 and 6: 54
Let's multiple:
[tex]\dfrac{7}{9}x+2=\dfrac{5}{6} \\\\54*(\dfrac{7}{9}x+2} )=54*\dfrac{5}{6} \\\\6*7x+108=9*5\\\\42x+108=45[/tex]
Answer: 42x + 108 = 45
Please help I’m so stuck
Answers
Answer:
(8x-7)<9
Use 1 to open the bracket
8x - 7 < 9
Add 7 to both sides
8x < 16
Divide both sides by 8
x < 2
members of a lacrosse team raised $1581.75 to go to a tournament. they rented a bus for $968.50 and budgeted $55.75 per player for meals. write and solve an equation which can be used to determine pp, the number of players the team can bring to the tournament.
Answers
Let pp be the number of players. We can write an equation to solve for the number of players.
1581.75 - 968.50 - (pp × 55.75) = 0
1581.75 - 968.50 - 55.75pp = 0
-55.75pp = -613.25
pp = 11
Therefore, the team can bring 11 players to the tournament. To find this, we subtracted the cost of the bus (968.50) and the cost of meals per player (55.75pp) from the total amount raised (1581.75).
We then divided both sides by -55.75 to solve for the number of players (pp) on the team.
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HELP I WILL GIVE BRAINLEST!!! Solve for the value of r
Answers
13r-2=180
13r=182
Solution
R=14
5r-5+8r+3=180
Next, combine like terms.
13r-2=180
Then get r by itself
13r=182
r=14
Hope that helped!
12 is no more of the product of a number w and 4
Answers
Answer:
Step-by-step explanation:
This statement is incorrect. 12 is a product of 3 and 4, or 12 = 3 * 4.
marty can go to one movie on either friday or saturday. he will be able to choose either comedy or an action movie. which list shows all possible outcomes of one move on one day?
Answers
There are the four possible combinations of day and movie genre that Marty can choose from.
OutcomesMarty has two options for the day of the week to go to the movie (Friday or Saturday) and two options for the movie genre (Comedy or Action).
Therefore, the list of all possible outcomes of one movie on one day is:
Friday ComedyFriday ActionSaturday ComedySaturday ActionThese are the four possible combinations of day and movie genre that Marty can choose from.
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given the scores 41, 44, 99, 46, 39, 47, 38, 46, what measure of central tendency should you compute?
Answers
A measure of central tendency is a single data that represents the center spot of a dataset. This data can also be known as “the central location” of a dataset.
In statistics, there are mainly three common measures of central tendency:
1. The mean is: (41 + 44 + 99 + 46 + 39 + 47 + 38 + 46) / 8 = 46
2. The median is:
38, 39, 41, 44, 46, 46, 47, 99
Middle values: 44 and 46
Average of middle values: (44 + 46) / 2 = 45
The median of this data set is 45.
3. In this case, the mode is 46, as it appears twice in the data set.
All of these measures find the central location of a dataset using various methods. Depending on the type of data you are analyzing, one of these three measures may be better to use than the other two.
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Describe the possible lengths of the third side of the triangle if the lengths of the other two sides are 6 meters and 9 meters.
Answers
The third side may be 6 or 9 metres long, or it may be between 9 and 15 miles long.
Depending on the lengths of the other two sides, the triangle's third side can have a variety of lengths. The third side's length could range from 9 to 15 metres if the first two sides are 6 and 9 miles, respectively. The reason for this is that the length of any two sides of a triangle must always be greater than the length of the third side; in this instance, the sum of the two sides is 15 metres, or 6 and 9 metres. As a result, the triangle's third side must be either less than or equal to 15 metres. A triangle can also have two equal sides, so the third side could also be equal to 6 or 9 metres. In conclusion, the third side of the triangle may be anywhere between 9 and 15 metres long, or it could be 6 or 9 metres long.
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Helpp
can you tell me how???
Answers
2 a) The letter A represents the value 0/3 on the number line.
2 b) The letter B represents the value 1/3 on the number line.
What is a number line?
A picture of numbers on a straight line is called a number line. It serves as a guide for contrasting and arranging numbers. Any real number, including all whole numbers and natural numbers, can be represented by it.
The number line is given.
The letter A represents the value of 0.
Find the value of 0/3.
Zero divided by anything yields the value 0.
Therefore, the value 0/3 is represented by letter A = 0.
Find the value of 1/3.
The decimal notation of fraction 1/3 is 0.33.
The value of 1/2 is 0.5.
This number should lie between 0 and 0.5.
Therefore, the value 1/3 is represented by letter B.
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2a) Which letter represents the better 0/3?
2b) Which letter represents the better 1/3?
a lawn can be mowed by 8 people in 6 hours. if 3 people take the day off and do not help mow the grass, how many hours will it take to mow the lawn?
Answers
If 8 people can mow the lawn in 6 hours, then the rate at which a single person mows the lawn is 1/6 of the total area. When 3 people take the day off, the number of people mowing the lawn becomes 8 - 3 = 5.
Therefore, the rate at which the 5 remaining people mow the lawn is 5 * 1/6 = 5/6 of the total area.
The time it takes to mow the lawn is inversely proportional to the rate at which the people mow the lawn.
So, to find the time it takes to mow the lawn with 5 people, we can divide the original time of 6 hours by the new rate of 5/6:
6 hours / (5/6)
= 6 * (6/5) hours
= 7.2 hours
So, it will take 7.2 hours to mow the lawn with 5 people.
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Kimberley's car can go 290 km on 21 L of gas. How far will her car go on 31 L of gas?
Answers
Answer:
428km
Step-by-step explanation:
21 L=290km
1 L=290/21
31 L=290/21×31=428km (to 3 s.f.)