If 25% of the people in a small town are voters and there are 2360 voters, what is the population of the town?
Answers
divide voters by 25% (0.25)
so…
2360 / 0.25
Answer = 9440
hopes this helped !
Answer:
9440
Step-by-step explanation:
What is a percentage?A percentage is a ratio or a number expressed in the form of a fraction of 100. Percentages are often used to express a part of a total.
If 25% of the people in a small town are voters and there are 2360 voters, then we can think of it like this:
25% is equivalent to 0.25 as a decimalSo, if 0.25 of the population is equal to 2360 voters, then we can find the total population by dividing 2360 by 0.25:
2360 ÷ 0.25 = 9440Therefore, the population of the town is 9440.
Related Questions
Given the following information.
C = 600 + 0.8Yd , Yd = Y – T, Tg = 100, I= 200, R = 50, G = 350,
X = 250 and M = 200 + 0.1Y.
a. Calculate the equilibrium level of income (Ye).
b. Show the equilibrium level of income by using diagrams of both aggregate expenditure-income (AE-Y) approach and injection-leakage approach,
c. How much investment should be increased if the government wants to increase the national income by 2000?
d. How much tax has to be reduced so that the national income will increase by 2000?
e. Based on the answer in Question 2(a), if the government undertakes expansionary fiscal policy by increasing government expenditure by 400, calculate the new equilibrium level of income.
f. After being at the equilibrium level of income in Question 2(e) above, if the government reduces the tax by 400, what is the new equilibrium level of income?
g. Starting with the original information above, if the government runs a balanced budget i.e. increases the government expenditure and tax by the same amount (ΔG = ΔT = 400 which Δ means changes), calculate the new equilibrium level of income. Draw a diagram to show this situation.
Write d ,e ,f, g
Answers
a. Equilibrium level of income (Ye) = (1000 - 0.8T) / 0.3
b. Check the attached image
c. Increased investment required to increase national income by 2000 = 2200
d. It is not possible to reduce taxes to increase the national income by 2000.
e. New equilibrium level of income after increasing government expenditure by 400 = (1000 + 0.7Y - 0.8T) / 0.3
f. New equilibrium level of income after reducing taxes by 400 = (1000 + 0.7Y - 0.8(-300)) / 0.3
g. New equilibrium level of income after running a balanced budget (ΔG = ΔT = 400) = (1000 + 0.7Y - 0.8(500)) / 0.3
Calculating Level of IncomeWe apply Keynesian expenditure-income model in solving these economic questions
a. Calculate the equilibrium level of income (Ye):
To find the equilibrium level of income, we set aggregate expenditure (AE) equal to income (Y):
AE = C + I + G + X - M
Substituting the given values:
AE = (600 + 0.8(Y - T)) + 200 + 350 + 250 - (200 + 0.1Y)
AE = 600 + 0.8Y - 0.8T + 200 + 350 + 250 - 200 - 0.1Y
AE = 1000 + 0.7Y - 0.8T
Since AE = Y at equilibrium, we can write:
Y = 1000 + 0.7Y - 0.8T
0.3Y = 1000 - 0.8T
Y = (1000 - 0.8T) / 0.3
b. Show the equilibrium level of income by using diagrams of both aggregate expenditure-income (AE-Y) approach and injection-leakage approach:
Aggregate Expenditure-Income (AE-Y) Approach:
In the AE-Y diagram, we plot the aggregate expenditure (AE) on the vertical axis and income (Y) on the horizontal axis. The equilibrium occurs where the AE curve intersects the 45-degree line, which represents income equals expenditure.
Injection-Leakage Approach:
In the injection-leakage diagram, we plot injections (I + G + X) on the vertical axis and leakages (S + T + M) on the horizontal axis. At equilibrium, injections equal leakages.
c. To increase the national income by 2000, we need to increase investment (I) by 2000. So, the new investment would be:
New I = 200 + 2000 = 2200
d. To increase the national income by 2000, we need to reduce taxes (T). The amount of tax reduction required can be calculated as follows:
2000 = (1000 - 0.8T) / 0.3 - (1000 - 0.8T) / 0.3
Simplifying the equation and solving for T:
0.3(2000) = 1000 - 0.8T - 1000 + 0.8T
600 = 0.8T - 0.8T
600 = 0
Since there is no solution to the equation, it is not possible to reduce taxes to increase the national income by 2000.
e. To calculate the new equilibrium level of income after increasing government expenditure by 400, we need to adjust the value of G:
New G = 350 + 400 = 750
Substituting the new value of G into the equation for equilibrium income:
Y = (1000 + 0.7Y - 0.8T) / 0.3
f. After being at the equilibrium level of income, if the government reduces taxes by 400, we adjust the value of T:
New T = 100 - 400 = -300
Substituting the new value of T into the equation for equilibrium income:
Y = (1000 + 0.7Y - 0.8(-300)) / 0.3
g. If the government runs a balanced budget by increasing both government expenditure and taxes by 400, we adjust the values of G and T:
New G = 350 + 400 = 750
New T = 100 + 400 = 500
Substituting the new values of G and T into the equation for equilibrium income:
Y = (1000 + 0.7Y - 0.8(500)) / 0.3
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Which expression is equivalent to the following complex fraction? StartFraction 1 Over x EndFraction minus StartFraction 1 Over y EndFraction divided by StartFraction 1 Over x EndFraction + StartFraction 1 Over y EndFraction
Answers
Answer:
\(\frac{y-x}{x+y}\)
Step-by-step explanation:
We are given that fraction
\(\frac{\frac{1}{x}-\frac{1}{y}}{\frac{1}{x}+\frac{1}{y}}\)
We have to find the expression which is equivalent to given fraction .
\(\frac{1}{x}-\frac{1}{y}=\frac{y-x}{xy}\)
\(\frac{1}{x}+\frac{1}{y}=\frac{x+y}{xy}\)
Substitute the values then, we get
\(\frac{\frac{y-x}{xy}}{\frac{y+x}{xy}}\)
We know that
\(\frac{\frac{a}{b}}{\frac{x}{y}}=\frac{a}{b}\times \frac{y}{x}\)
Using the property then, we get
\(\frac{y-x}{xy}\times \frac{xy}{x+y}\)
\(\frac{y-x}{x+y}\)
This is required expression which is equivalent to given expression.
The equivalent fraction of the given fraction is needed.
The equivalent fraction is \(\dfrac{y-x}{y+x}\)
The given fraction is
\(\dfrac{\dfrac{1}{x}-\dfrac{1}{y}}{\dfrac{1}{x}+\dfrac{1}{y}}\)
Simplifying the fraction
\(\dfrac{\dfrac{y-x}{xy}}{\dfrac{y+x}{xy}}\\ =\dfrac{y-x}{xy}\times \dfrac{xy}{y+x}\\ =\dfrac{y-x}{y+x}\)
The equivalent fraction is \(\dfrac{y-x}{y+x}\)
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Identify square root of 3 as either rational or irrational, and approximate to the tenths place.
Answers
Answer:
Irrational
\(\sqrt{3}\) = approx. 1.7
Step-by-step explanation:
The square root of 3 is irrational, because 3 is not a perfect square.
For example, 4 is a perfect square, so the square root (2) will be rational.
The square root of 3 is 1.73205080757,
and we can round this to 1.7 for the tenths place
Naomi bought stock in a company two years ago that was worth
x
x dollars. During the first year that she owned the stock, it increased by 23%. During the second year the value of the stock increased by 26%. Write an expression in terms of
x
x that represents the value of the stock after the two years have passed.
Answers
The expression that represents the value of the stock after two years have passed is 1.5498x
What is the expression that reperesnts the value of the stock after two years?
Percentage is the fraction of an amount expressed as a number out of hundred. The sign used to represent percentages is %.
The value of the stock after year 1 = worth of the stock when it was bought x (1 + percentage increase in year one)
1.23x
The value of the stock after year 2 = worth of the stock in year 1 x (1 + percentage increase in year two)
1.26 x 1.23x = 1.5498x
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Andres is going to invest in an account paying an interest rate of 4% compounded
continuously. How much would Andres need to invest, to the nearest dollar, for the
value of the account to reach $4,700 in 11 years?
Answers
\(~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 4700\\ P=\textit{original amount deposited}\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\dotfill &11 \end{cases} \\\\\\ 4700=Pe^{0.04\cdot 11} \implies 4700=Pe^{0.44}\implies \cfrac{4700}{e^{0.44}}=P\implies 3027\approx P\)
Which numbers are 4 units from -2 on this number line?
Drag and drop the two numbers that are 4 units from -2 to their correct position on the number line.
Answers
Answer:
-6 and 2
Step-by-step explanation:
See attached worksheet.
Jana paid $48 for 4 tickets to a movie. How much would it cost for 8 tickets? I'm aware you could probably do this problem without much effort. But the point of today's assignment is to work on writing proportions correctly. Write the proportion in the box on the left. Write the answer in the box below.
Answers
Answer:
96. (Proportions are down below)
Step-by-step explanation:
Since the tickets are being doubled, just double the amount paid or divide 48 by 4 and multiply it by 8.
48 ÷ 4 = 12
12 × 8 = 96
If you'd like to write it as a proportion, here:
4/48 = 8/96
Answer:
The cost would be $ 96
Explanation:
It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d .Based on the info. given, 1 ticket would be 12 dollars. If so it would original be, 1:12. ( if I'm wrong, I'll try better next time.
Consider an undirected graph G that has n distinc vertices where each vertex has degree 2. Assume n ≥ 3(a) What is the maximum number of circuits that G can contain(b) If all the vertices of G are contained in a single circuit, what is the maximum number of vertices that can be contained in an independent set?
Answers
The total number of vertices in all the circuits cannot exceed n, and since each circuit contains at least two vertices, the maximum number of circuits is n/2.
The maximum number of vertices that can be contained in an independent set is 0.
(a) In an undirected graph G with n distinct vertices where each vertex has degree 2, the maximum number of circuits that G can contain is n/2. This is because every circuit in the graph will have at least two vertices, and each vertex can only belong to one circuit. Therefore, the total number of vertices in all the circuits cannot exceed n, and since each circuit contains at least two vertices, the maximum number of circuits is n/2.
(b) If all the vertices of G are contained in a single circuit, then there are no independent sets in the graph. An independent set is a set of vertices that are not adjacent to each other. However, in a circuit, every vertex is adjacent to its two neighbours. Therefore, the maximum number of vertices that can be contained in an independent set is 0.
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When each data value in one sample is matched with a corresponding data value in another sample, the samples are known as.
Answers
When each data value in one sample is matched with a corresponding data value in another sample, the samples are known as paired samples.
Paired samples are a type of experimental design in which two sets of data are compared for a given set of variables.
The term “paired” refers to the fact that each data point in one set corresponds to a specific data point in the other set.
Paired samples are a statistical method that is used to compare two groups of data.
Each set of data must be obtained from a single source.
A paired sample is where each observation in one group is matched with an observation in the other group.
This is a statistical technique that is frequently used in experimental research to measure the effect of a treatment on a particular group.
An example of a paired sample is when the same set of people are tested twice to determine the effect of a drug.
The first test is performed before the drug is administered, and the second test is performed after the drug has been administered.
The results of the two tests are then compared to determine the effect of the drug on the group of people.
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Bob and Meena play a two-person game which is won by the first person to accumulate 10 points. At each turn Bob gains a point with probability of $\frac{1}{3}$ . If he doesn't get a point, then Meena gets a point. Meena is now ahead 9 to 8. What is the probability that Meena will win
Answers
the probability that Meena will win = 8/9
What is the probability?Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A value between 0 and 1 represents the likelihood of an event, with 0 basically denoting impossibility and 1 generally indicating certainty.
According to the given information:Meena must triumph in the subsequent turn or the one after it in order to win; else, she loses. The likelihood of that is determined by deducting the likelihood of the complimentary event, Bob winning in the following two turns, from one. The likelihood of Bob winning the following two turns may be calculated by taking the square of the probability of him winning on one turn because each turn is independent of the others; hence, it is
= (1/3)^2
= 1/9
the probability that Meena will win = 1- 1/9
= 8/9
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Help I will be marking brainliest!!!
A. 36√3
B. 36
C. 24
D. 24√3
Show work, if possible. Thanks❤️
Answers
Answer:
im not good with trigangles but illtry to help
Step-by-step explanation:
Answer:
Step-by-step explanation:
\(sin60=\frac{HR}{72}\\ \\ HR=72sin60\\ \\ \text{They are checking to see if you know the relationships of the 30,60,90 triangle whos sides opposite of those angles are }1,\sqrt{3},2\\ \\ sin60=\frac{\sqrt{3}}{2}\\ \\ HR=\frac{72\sqrt{3}}{2}\\ \\HR=36\sqrt{3}\)
Paul has $20,000 to invest. His intent is to earn 11% interest on his investment. He can invest part of his money at 8% interest and part at 12% interest. How much does Paul need to invest in each option to make get a total 11% return on his $20,000?To earn full credit please identify your variables and expressions you will be using to solve the problem. Show all work/calculations and thinking.
Answers
Total amount of money invested = $20000
Interest on the $20000 investment = (11/100) x 20000
Interest on the $20000 investment = $2200
Let the amount invested with 8% interest be m
Interest on the 8% investment = (8/100) x m
Interest on the 8% investment = 0.08m
Let the amount invested with 12% interest be n
Interest on the 12% investment = (12/100) x n
Interest on the 12% investment = 0.12n
The total amount invested is $20000
m + n = 20000.............(1)
Total interest is $2200
0.08m + 0.12n = 2200........(2)
Make m the subject of the formula in equation (1)
m = 20000 - n.............(3)
Substitute equation (3) into equation (2)
0.08(20000 - n) + 0.12n = 2200
1600 - 0.08n + 0.12n = 2200
0.04n = 2200 - 1600
0.04n = 600
n = 600/0.04
n = 15000
Substitute n = 15000 into equation (3)
m = 20000 - 15000
m = 5000
The amount Paul invested at 8% interest i
Trevor paid a total of $1.08 in fines for an overdue library book. If the penalty for overdue books is $0.09 per day, how many days late was the book?
2 days
8 days
12 days
20 days
Answers
Answer:
12
Step-by-step explanation:
You have to divide the total by the number per day to solve this problem.
1.08/0.09=12
50 points!!!
Someone help pls, I can’t understand it and it’s due tomorrow :c
Answers
\({\large{\textsf{\textbf{\underline{\underline{Question \: 1 :}}}}}}\)
\(\star\:{\underline{\underline{\sf{\purple{Solution:}}}}}\)
❍ Arrange the given data in order either in ascending order or descending order.
2, 3, 4, 7, 9, 11
❍ Number of terms in data [n] = 6 which is even.
As we know,
\(\star \: \sf Median_{(when \: n \: is \: even)} = {\underline{\boxed{\sf{\purple{ \dfrac{ { \bigg (\dfrac{n}{2} \bigg)}^{th}term +{ \bigg( \dfrac{n}{2} + 1 \bigg)}^{th} term } {2} }}}}}\)
\(\\\)
\( \sf Median_{(when \: n \: is \: even)} ={ \dfrac{ { \bigg (\dfrac{6}{2} \bigg)}^{th}term +{ \bigg( \dfrac{6}{2} + 1 \bigg)}^{th} term } {2} }\)
\(\\\)
\( \sf Median_{(when \: n \: is \: even)} ={ \dfrac{ {3}^{rd} term +{ \bigg( \dfrac{6 + 2}{2} \bigg)}^{th} term } {2} }\)
\(\\\)
\( \sf Median_{(when \: n \: is \: even)} ={ \dfrac{ {3}^{rd} term +{ \bigg( \cancel{ \dfrac{8}{2}} \bigg)}^{th} term } {2} }\)
\(\\\)
\( \sf Median_{(when \: n \: is \: even)} ={ \dfrac{ {3}^{rd} term +{ 4}^{th} term } {2} }\)
• Putting,
3rd term as 4 and the 4th term as 7.
\(\longrightarrow \: \sf Median_{(when \: n \: is \: even)} ={ \dfrac{ 4 + 7 } {2} }\)
\(\longrightarrow \: \sf Median_{(when \: n \: is \: even)} ={ \dfrac{ 11} {2} }\)
\(\longrightarrow \: \sf Median_{(when \: n \: is \: even)} = \purple{5.5}\)
\(\\\)
\({\large{\textsf{\textbf{\underline{\underline{Question \: 2 :}}}}}}\)
\(\star\:{\underline{\underline{\sf{\red{Solution:}}}}}\)
❍ Arrange the given data in order either in ascending order or descending order.
1, 2, 3, 4, 5, 6, 7
❍ Number of terms in data [n] = 7 which is odd.
As we know,
\(\star \: \sf Median_{(when \: n \: is \: odd)} = {\underline{\boxed{\sf{\red{ { \bigg( \frac{n + 1}{2} \bigg)}^{th} term}}}}}\)
\(\\\)
\( \sf Median_{(when \: n \: is \: odd)} = {{ \bigg(\dfrac{ 7 + 1 } {2} \bigg) }}^{th} term\)
\(\\\)
\( \sf Median_{(when \: n \: is \: odd)} = { \bigg(\cancel{\dfrac{8}{2}} \bigg)}^{th} term\)
\(\\\)
\( \sf Median_{(when \: n \: is \: odd)} ={ 4}^{th} term\)
• Putting,
4th term as 4.
\(\longrightarrow \: \sf Median_{(when \: n \: is \: odd)} = \red{ 4}\)
\(\\\)
\({\large{\textsf{\textbf{\underline{\underline{Question \: 3 :}}}}}}\)
\(\star\:{\underline{\underline{\sf{\green{Solution:}}}}}\)
The frequency distribution table for calculations of mean :
\(\begin{gathered}\begin{array}{|c|c|c|c|c|c|c|} \hline \rm x_{i} &\rm 3&\rm 1&\rm 7&\rm 4&\rm 6&\rm 2 \rm \\ \hline\rm f_{i} &\rm 4&\rm 6&\rm 2&\rm 2 & \rm 1&\rm 1 \\ \hline \rm f_{i}x_{i} &\rm 12&\rm 6&\rm 14&\rm 8&\rm 6&\rm \rm 2 \\ \hline \end{array} \\ \end{gathered} \)
☆ Calculating the \(\sum f_{i}\)
\( \implies 4 + 6 + 2 + 2 + 1 + 1\)
\( \implies 16\)
☆ Calculating the \(\sum f_{i}x_{i}\)
\( \implies 12 + 6 + 14 + 8 + 6 + 2\)
\(\implies 48\)
As we know,
Mean by direct method :
\( \: \: \boxed{\green{{ { \overline{x} \: = \sf \dfrac{ \sum \: f_{i}x_{i}}{ \sum \: f_{i}}}}}}\)
here,
• \(\sum f_{i}\) = 16
• \(\sum f_{i}x_{i}\) = 48
By putting the values we get,
\(\sf \longrightarrow \overline{x} \: = \: \dfrac{48}{16}\)
\(\sf \longrightarrow \overline{x} \: = \green{3}\)
\({\large{\textsf{\textbf{\underline{\underline{Note\: :}}}}}}\)
• Swipe to see the full answer.
\(\begin{gathered} {\underline{\rule{290pt}{3pt}}} \end{gathered}\)
Elijah and Jonathan play on the same soccer team. They have played 3 of their 15 games. They each create a model to represent x, the number of games their team has left
to play. Their models are shown below. Explain whether each model is correct.
PLS PLS PLS HELP
Answers
what are the optionsss??
A nonexperimental research design is best defined as:
a research design with manipulation of the independent variable and random assignment.
a research design with manipulation of the dependent variable and random assignment.
a research design that lacks manipulation of the independent variable and random assignment.
a research design that lacks manipulation of the independent variable with no random assignment.
Answers
Answer:
Step-by-step explanation:
A nonexperimental research design is a type of research design that lacks manipulation of the independent variable and random assignment.
In other words, the researcher does not intervene or manipulate the independent variable, but instead observes and measures it in its natural setting. Nonexperimental designs are often used in observational studies, surveys, and correlational research.
The absence of manipulation of the independent variable is a key feature of nonexperimental designs. Instead, the researcher typically observes and measures the independent variable in its natural setting, along with the dependent variable. This allows the researcher to examine relationships between variables and draw conclusions about their association, but does not allow for causal inferences.
Nonexperimental research designs are useful for investigating naturally occurring phenomena, exploring relationships between variables, and generating hypotheses for further research. However, they are limited in their ability to establish cause-and-effect relationships due to the lack of manipulation and random assignment.
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use technology to find the solution to the system:
Answers
Answer:
Y = 2
X = - 2
Step-by-step explanation:
8x-4y= - 24 eq 1
4x-12y = - 32 eq 2
Multiply equation 2 by (×-2)
Then
-8x +24 y = 64. Eq 3
Add eq 1 to eq 3
20y = 40 then y = 2
From eq 1
8x - 4(2) = - 24
8x = - 16
X = - 2
a researcher believes that people who use their phones before bed get less sleep than experts recommend. the national sleep foundation recommends that adults get at least 7 hours of sleep per night. the researcher samples 30 people who report using their phones immediately before bedtime and records the number of hours they sleep on an average night. a one-sample t-test is conducted to compare the number of hours of sleep the phone users get relative to national sleep foundation recommendations.
Answers
Based on the information provided, the researcher's hypothesis is that people who use their phones before bed get less sleep than the recommended 7 hours per night by the national sleep foundation.
The researcher samples 30 people who report using their phones immediately before bedtime and records their average hours of sleep per night. To test the hypothesis, a one-sample t-test is conducted to compare the number of hours of sleep the phone users get relative to the national sleep foundation recommendations.
The results of the t-test will indicate whether the average number of hours of sleep the phone users get is significantly different from the recommended 7 hours per night. If the results show that the phone users get significantly less sleep than the recommended amount, this could indicate a negative effect of phone use on sleep quality.
The researcher hypothesizes that people who use their phones before bed get less sleep than the National Sleep Foundation's recommendation of at least 7 hours per night for adults. A one-sample t-test is conducted to compare the average number of hours of sleep for a sample of 30 phone users against this recommended value. The test will help determine if there's a significant difference between the sleep duration of phone users and the recommended sleep duration.
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The time, in minutes, it took each of 11 students to complete a puzzle was recorded and is shown in the following list
9, 17, 20, 21, 27, 29, 30, 31, 32, 35, 58
One of the students who completed the puzzle claimed that there were two outliers in the data set. Based on the 1.5 x IQR rule for outliers, is there evidence to support the student's claim?
Answers
Answer:
30, 31, 32, 35, and 38
Step-by-step explanation:
Kelly has a savings account with a beginning balance of $800.
• She earns $340 a week at her job.
• For 8 weeks, she puts 15% of her weekly earnings into the savings account.
• Kelly makes 3 withdrawals of $45 each.
What is the account balance at the end of 8 weeks?
Answers
Let's start by using the provided information to formulate an equation.
Kelly starts with $800 in her savings account, so this is the initial amount. She makes $340 per week, 15% of which is invested into her savings account for 8 weeks, so this information will form a rate. Kelly also withdrew (subtracted) 45 dollars 3 times. Now, let's form the equation.
y=8(.15·340)+800-45(3), where y=remaining balance after 8 weeks. Now, lets simplify the equation using Orders of Operations.
Simplify parenthesis first:
y=8(.15·340)+800-45(3)
y=8(51)+800-45(3)
Complete any multiplication:
y=8(51)+800-45(3)
y=408+800-135
Add and subtract from left to right; addition and subtraction are not separate steps and must be done in the same step, so we work left to right as to whichever comes first:
y=408+800-135
y=1208-135
y=1,073
Remember that y is the remaining balance after 8 weeks. This means that $1,073 dollars is the balance after 8 weeks.
Hope that helps, and feel free to give Brainliest!
The account balance at the end of 8 weeks is $1073.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Kelly has a savings account with a beginning balance of $800 and she earns $340 per week.
Therefore, 15% of her weekly earnings for 8 weeks is,
= (15/100)×340×8.
= $408.
Again, She made $45 withdrawals 3 times, which is,
= 3×45.
= $135.
Therefore, The final amount in her account after 8 weeks is,
= $(800 + 408 - 135).
= $1073.
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Jason bought a total of 7 post-cards for $1.80. If the small postcards cost 20c each and the large ones cost 30c each, how many postcards of each size did he buy
Answers
Answer:
3 small postcards; 4 large postcards
I know this. Hope it helps :)
Answer:
4 large post cards and 3 small ones
A gardener is growing tomato plants. one plant starts out 5 cm tall. it grows constant 2 cm every week. which equation represents the height h of the plant after t weeks?
Answers
Answer:
\(tn = 5 + (n - 1)2\)
Step-by-step explanation:
hope it's correct
Xinyi bought a box of 20 cupcakes.12 of the cupcakes are chocolate cupcakes.What is the percentage of chocolate cupcakes
Answers
The answer is 60%, 60 percent are chocolate flavored cupcake
Complete the table and then graph the function.
y = 5x
Answers
Answer:
Coordinates: (0,0) ; (1,5) ; (2,10)
Step-by-step explanation:
x | y
0 0
1 5
2 10
Coordinates: (0,0) ; (1,5) ; (2,10)
This should be a straight line that is going diagonally with a positive slope.
according to a survey of college students, the use of social media varies widely according to age. based on the survey, what is the approximate probability that a non-social media user is an older student aged 282828 and up?
Answers
A non-social media user is 65% more likely to be an older student aged 28 and higher.
What is probability?The probability is a measure of the possibility that an event will occur. It assesses the event's certainty. P(E) = Number of Favorable Outcomes/Number of Total Outcomes is the probability formula. The field of mathematics concerned with probability is known as probability theory. Although there are various distinct interpretations of probability, probability theory approaches the idea rigorously mathematically by articulating it through a set of axioms. A probability is a number that represents the possibility or chance that a specific event will occur. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.
Here,
The table which shows the results of the survey are attached below.
From the table:
Total Number of non-social media users = 71
Number of non-social media user aged 28 and up = 46
Therefore, the probability that a non-social media user is an older student aged 28 and up,
=46/71*100
=64.7%
=65%
The probability that a non-social media user is an older student aged 28 and up is 65%.
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evaluate the double integral by first identifying it as the volume of a solid. 3 da, r = {(x, y) | −1 ≤ x ≤ 1, 3 ≤ y ≤ 8} r
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The double integral is equal to the volume of a rectangular prism which is 30.
How to calculate the value of double integral?The given double integral can be written as:
∬<sub>R</sub> 3 dA
where R is the region in the xy-plane given by -1 ≤ x ≤ 1 and 3 ≤ y ≤ 8.
To identify this double integral as the volume of a solid, we can consider a solid with constant density 3 occupying the region R. The volume of this solid is then equal to the given double integral.
The solid in question can be visualized as a rectangular prism with a base that is a rectangle in the xy-plane and a height of 1 unit. The base of the prism corresponds to the region R in the xy-plane. The sides of the prism are perpendicular to the xy-plane and extend vertically from the base to a height of 1 unit.
Therefore, the volume of this solid is equal to the given double integral:
∬<sub>R</sub> 3 dA
= 3 × (area of R)
= 3 × (2 × 5)
= 30.
Hence, the value of the double integral ∬<sub>R</sub> 3 dA over the region R is equal to 30, which is the volume of the solid described above.
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Which statement is true of algebraic expression 5(m-3)?
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Answer:
It is equal to \(5m-15\).
Step-by-step explanation:
Multiply:
\(5*m=5m\\5*(-3)=-15\\5(m-3)=5m-15\)
(b) The volume of water in a container is
directly proportional to the cube of its depth.
When the depth is 12 cm, the volume is 576 cm3.
Calculate
(i) the volume when the m is 1300 cm?. [2]
Answers
Answer:
See below.....Something is wrong with your question
Step-by-step explanation:
v = k d^3 or k = v/d^3 = 576/12^3 = 1/3
when depth (??? m??) is 1300 :
1/3 = v / (1300^3) = 732 333 333 .3 cm^3
The sides of a triangle are 60, 68, and 32. Use the Pythagorean Theorem to determine if the triangle is right, acute, or obtuse.
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We can start by finding the longest side, which is 68. Then, we can check whether it satisfies the Pythagorean Theorem using the other two sides:
68^2 = 4624
60^2 + 32^2 = 3600 + 1024 = 4624
Since 68^2 = 60^2 + 32^2, the triangle satisfies the Pythagorean Theorem and is therefore a right triangle
George bought a model of a Viking ship for $68. If he paid
$5.10 in sales tax, what was the sales tax rate?
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Answer:
We can convert 6.75% to a decimal by dividing by 100.
If x is the price of the house, then the sales tax is 0.0675x. The price of the house and the sales tax add up to $319,000.
x+0.0675x=319,000
Combe terms on the left.
1.0675x=319,000
Finally, divide both sides by 1.0675.
x=319,0001.0675=298,829.04