Answer:
a. is equal.
Step-by-step explanation:
18+18 is 36 and 1+1 is 2. the other questions are not equal.
Hope this helps!
Answer
18/36 = 1/2
13/5 > 7/10
3/5 > 5/9
3/8 < 10/16
Six equal pieces are cut of a rope of 24/5m. Find length of each piece
Answer:4 / 5 m
Step-by-step explanation:
In this question, we need to divide the length of the rope by the number of pieces to get the length of each piece.
The length of the rope 24/5 is m
Six equal pieces are cut of a rope, so the length of each piece is:
24/5
6
=4/5m
Answer:
\(\frac{4}{5}\) m
Step-by-step explanation:
\(\frac{24}{5}\) / 6 = \(\frac{24}{5}\) / \(\frac{6}{1}\) = \(\frac{24}{5}\) x \(\frac{1}{6}\) = \(\frac{24}{30}\) = \(\frac{4}{5}\)
9.6. a relation r is defined on n by arb if a/b ∈ n.for c, d ∈ n, under what conditions is cr−1 d?
If cr-1d, then c/d must be an integer. This means that d must divide c, or c must be a multiple of d. In other words, d must be a factor of c.
To understand this, we need to look at the definition of the relation r. It states that a/b ∈ n, which means that a and b are both integers, and b is not equal to 0.
Now, let's consider the condition cr-1d. This means that c/rd, which in turn means that c/d is an integer.
If d is not a factor of c, then c/d will not be an integer, and the condition cr-1d will not be satisfied. On the other hand, if d is a factor of c, then c/d will be an integer, and the condition will be satisfied.
In summary, for cr-1d to hold, d must be a factor of c. This is because the relation r is defined on n by arb if a/b ∈ n.
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The linear model P=3.75g+1.5 predicts the total cost, P, in dollars, to purchase g gallons of gas at a gas station. Based on the linear model, how much should it cost to purchase 12 gallons of gas?
Answer:
Answer is 46.50
Step-by-step explanation:
I look everywhere and said it was this hehe
Please help school is ending soon!Two days later, Kelly surveyed the same 13 classmates and found that none of them had been given math homework since she last surveyed them. By how much does the mean of Kelly’s second data set change in comparison with the mean of the data set in her original survey? Explain how to determine the change in the means without calculating the mean of either data set.
Since none of the 13 classmates had been given math homework between the original survey and Kelly's second survey, the sum of the values in the second data set is the same as the sum of the values in the original data set. Therefore, the change in the means can be determined without calculating the mean of either data set by considering the number of data points in each set.
Since both data sets have the same number of data points, the change in the means will be zero. This is because the mean is calculated by dividing the sum of the values by the number of data points, and since the sum of the values is the same in both data sets, the means will also be the same.
In other words, the change in the mean is calculated as follows:
Change in mean = Mean of second data set - Mean of first data set
Since none of the values in the second data set have changed, the mean of the second data set is the same as the mean of the first data set. Therefore, the change in the mean is:
Change in mean = Mean of second data set - Mean of first data set
= Mean of first data set - Mean of first data set
= 0
Thus, the change in the means between Kelly's original survey and her second survey is zero.
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(21. Little to big ratio:22. Litt5712кGх2PJHProportion to solve for x:ProportX =FH =X=MNIII
Using the properties of similar triangles and ratio and proportion we get the vale of x as 2.8 units.
In the given figure the triangle ΔKFG and ΔFJH
KG is parallel to JH
Hence ΔKFG is similar to ΔFJH
Now using the property of similarity and proportion we can say that:
FG/FH = KF/JF
putting the values in the above proportion we get:
7 /(7+x) = 5/ 7
or, 49 = 35 +5 x
or, 14 = 5x
or, x =14/5
or, x = 2.8
The majority of ratio and percentage explanations involve using fractions.
A proportion states that two variables are equal, whereas a ratio is a fraction that is written as a:b. The two ratios given are equal to one another, as demonstrated by the proportional equation.
Hence the value of x is 2.8 units.
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Part B
Describe two different ways you could find measure of ZCFD. What is the measure of
this angle? There are three parts to this question.
Answer:
b
Step-by-step explanation:
you aint got enough information
if there are four possible outcomes how many logical tests are required
If there are four possible outcomes, only two logical tests are required. They are often used in if-else statements and loops to control program flow. Understanding logical tests is essential for anyone who wants to learn programming or problem-solving.
Logical tests are used to determine whether a certain condition is true or false. In this case, with four possible outcomes, we need to test each outcome against another outcome. For example, we can test Outcome 1 against Outcome 2, Outcome 1 against Outcome 3, Outcome 1 against Outcome 4, Outcome 2 against Outcome 3, Outcome 2 against Outcome 4, and Outcome 3 against Outcome 4.
Logical tests are a fundamental concept in computer programming and problem-solving. They are used to evaluate conditions and make decisions based on the results. In some cases, logical tests can be used to determine the number of possible outcomes in a given situation. For example, if there are four possible outcomes, we can use logical tests to determine how many tests are required to cover all possibilities. In this case, we need to test each outcome against another outcome to see if they are different. This gives us a total of six tests. However, we can eliminate half of these tests because they are duplicates. Therefore, we only need to perform two logical tests to cover all four possible outcomes. Logical tests are commonly used in computer programming to evaluate conditions and make decisions based on the results.
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The difference of negative thirteen and eight multiplied by the square of two.
Answer:
-100
Step-by-step explanation:
(-13-8)2^2
-25*4=-100
if the bulmer family is planning a trip to the nc state fair, how much can they expect to pay at the gate? both mom and dad are 40 years old, they have twin girls age 11, a son who is 3 years old and grandma, who is 68, is planning to come just for the food.
The total cost for the Bulmer family at the NC State Fair will be at least $51 for the gate admission alone. This can be solved by the concept of simple mathematics.
To calculate the total cost for the Bulmer family, we need to consider each family member's age and whether they need to purchase a ticket or wristband. According to the NC State Fair website, gate admission prices vary depending on the age of the visitor. Visitors aged 13 and older must pay $14, while children aged 6-12 pay $7. Children aged 5 and under are admitted for free, so the three-year-old son will not need a ticket.
Since both parents are 40 years old, they will each need to purchase a $14 ticket, for a total of $28. The twin girls, who are 11 years old, will also need to purchase tickets, which will cost $14 each, or $28 total. Grandma, who is 68, will not need a ticket since she is over 65, and admission is free for visitors in that age group.
Finally, we need to factor in any additional costs, such as ride wristbands or food purchases. Since grandma is only coming for the food, we can assume that the family will need to budget accordingly for meals and snacks, which can vary depending on personal preferences and how much they plan to eat.
Adding up the costs of the tickets for the parents and twins, we get a total of $56. However, since the three-year-old son does not need a ticket, we can subtract the cost of one child ticket ($7), bringing the total cost for gate admission to $49. Since grandma is not paying for a ticket, the total cost for the family's admission will be $51.
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Audrey's bank account is currently at $75 a fee of 12.50 is deducted each month from Audreys she must maintain a balance greater than zero dollars how many months will Audrey's account stay above zero dollars
Answer:
5 months
Step-by-step explanation:
Current balance = $75
Monthly deductions = $12.50
75 - 12.5h
Where ,
h = number of months for deduction
she must maintain a balance greater than zero dollars
how many months will Audrey's account stay above zero dollars
0 > 75 - 12.5h
0 - 75 > -12.5h
-75 > - 12.5h
h < -75 / 12.5h
h < 6 months
h < 6 months means h must be less than 6 months which is 5 months
Audrey's account will stay above zero dollars for 5 months and will equal zero dollars in the 6th month
what is separate the population into non overlapping groups and then obtain a simple random sample from each group is called?
"Stratified Sampling" is the process of dividing the population into non-overlapping groups and taking a simple random sample out of each category.
Explain about the Stratified Sampling?Differentiated stratified sampling. By employing a characteristic to divide the population, we can then obtain a proportional randomized sample of each group.
The population is divided into non-overlapping groups, or strata, and a proportional simple randomized sample is taken from each stratum to create a stratified sample. Each group's members ought to have some things in common. Once the strata have been established, we must decide how many people will be chosen from each stratum. Here, proportionality of the chosen number is crucial.Thus, "Stratified Sampling" is the process of dividing the population into non-overlapping groups and taking a simple random sample out of each category.
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please help asap!!!!
Answer:
The area is 60. Thats all I know TwT
Step-by-step explanation:
Shelly and Terrence completed a different number of tasks in a game. Shelly earned 90 points on each task. Terrence's total points were 20 less than Shelly's total. The expression below shows Terrence's total points in the game:
90x − 20
What does the factor x of the first term of the expression represent? (2 points)
Group of answer choices
The total number of tasks Terrence completed
The total number of tasks Shelly completed
The sum of Shelly's and Terrence's total points
The difference between Shelly's and Terrence's total points
The total number of tasks Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed
The factor 'x' in the expression '90x - 20' represents the total number of tasks that Terrence completed in the game.
To understand why, let's break down the given information. It states that Shelly and Terrence completed a different number of tasks. Shelly earned 90 points on each task, so the total number of tasks she completed is not represented by 'x'.
On the other hand, Terrence's total points were 20 less than Shelly's total. This means that Terrence's total points can be calculated by subtracting 20 from Shelly's total points. Since Shelly earned 90 points on each task, her total points would be 90 multiplied by the number of tasks she completed.
So, the expression '90x - 20' represents Terrence's total points in the game, where 'x' represents the total number of tasks that Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed, we can calculate his total points.
Therefore, the correct answer is: The total number of tasks Terrence completed.
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During a snowstorm, snow fell at a constant rate for a number of hours. Then it stopped snowing for a number of hours. Then it started up again at a different constant rate. Benjamin made a graph showing the inches of snow on the ground over time using the data that he collected. at what rate was the snow falling during the first snowfall
ANSWER
0.2 inches per hour or 1 inch every 5 hours
EXPLANATION
We want to find the rate of snowfall during the first snowfall.
To do that we will find the slope of the first part of the graph.
Slope is given as:
\(\text{slope = }\frac{y_2-y_1}{x_2-x_1}\)where (x1, y1) = (0, 2)
(x2, y2) = (10, 4)
Therefore, the slope is:
\(\begin{gathered} \text{slope = }\frac{4\text{ - 2}}{10\text{ - 0}}\text{ = }\frac{2}{10} \\ \text{slope = }\frac{1}{5}\text{ or 0.2 inches per hour} \end{gathered}\)Therefore, the rate of snowfall is 1/5 inches per hour. This means 1 inch every 5 hours
Simplify -7 + 9 /10 + 3 /7 + (-5) + 5 /11 + (−6 /5)
Answer:
-11 321/770
Step-by-step explanation:
-7+9/10+3/7-5+5/11-6/5
What is the range of Y = log8X?
all real numbers less than 0
all real numbers greater than 0
all real numbers not equal to
all real numbers
Answer: all real numbers
Step-by-step explanation: got it right on edguenity
Help me with this question please
Volume of a Cylinder = pi x r^2 x height
diameter = 10, so radius = 5
height = 6
Volume = pi x 5^2 x 6
Volume = pi x 25 x 6
Volume = 150pi
Answer: 150pi cubic feet
Hope this helps!
A country's population in 1990 was 154 million.
In 2001 it was 159 million. Estimate
the population in 2005 using the exponential
growth formula. Round your answer to the
nearest million.
P= Aekt
Using the exponential growth formula, the population in 2005 was 161 million.
The equation f(x) = a(1 + r)^x can also be used to compute exponential growth, where: The function is represented by the word f(x). The initial value of your data is represented by the a variable. The growth rate is represented by the r variable. To calculate growth rates, divide the difference between the starting and ending values for the period under study by the starting value.
Growth factor = (159/154) for the eleven-year period between 1990 and 2001.
The population growth might thus be described by the exponential equation
p(t) = 154(159/154)^(t/11), where t is the number of years since 1990.
The model forecasts a population of... p(15) = 154(159/154)^(15/11)
= 160.86 = 161 million
In 2005, there were about 161 million people living there.
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Correct Question:
A country's population in 1990 was 154 million. In 2001 it was 159 million. Estimate the population in 2005 using the exponential growth formula. Round your answer to the nearest million.
farmer sells 9.8 kilograms of pears and apples at the farmer's market. 3/5 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?
Answer:3.92
Step-by-step explanation:
find 1/5 of 9.8kg
=1.96kg
3/5 of pears = 1.96*3=5.88kg
apples= 2/5 so 1.96*2=3.92kg
OR 9.8-5.88=3.92kg
Answer:
3.92kg of Apples
Step-by-step explanation:
The size of Pears weight is 3/5 of 9.8kg...
=3/5 * 9.8
=3 * 9.8/5
=29.4/5
=5.88kg
Thus, the size of the Apples will be 9.8kg - 5.88kg
= 3.92kg.
Thus, the farmer sold 3.92kg of Apples at the farmer's market.
A car is driven east for a distance of 47 km, then north for 21 km, and then in a direction 30
∘
east of north for 22 km. Determine (a) the magnitude of the car's total displacement from its starting point and (b) the angle (from east) of the car's total displacement measured from its starting direction. (a) Number Units (b) Number Units
The angle of the car's total displacement measured from its starting direction (east) is approximately 36.87°. The magnitude of the car's total displacement from its starting point is approximately 55.97 km.
To determine the car's total displacement, we can treat the individual east and north displacements as vector components and then find their resultant.
Let's denote east as the positive x-axis and north as the positive y-axis.
(a) To find the magnitude of the total displacement, we can use the Pythagorean theorem:
Total displacement = √(east displacement^2 + north displacement^2)
= √((47 km)^2 + (21 km)^2 + (22 km * cos 30°)^2)
Calculating the value, we have:
Total displacement ≈ √(2209 km^2 + 441 km^2 + 484 km^2)
≈ √3134 km^2
≈ 55.97 km
Therefore, the magnitude of the car's total displacement from its starting point is approximately 55.97 km.
(b) To find the angle of the total displacement measured from its starting direction, we can use trigonometry:
Angle = arctan(north displacement / east displacement)
= arctan((21 km + 22 km * sin 30°) / 47 km)
Calculating the value, we have:
Angle ≈ arctan(0.75)
≈ 36.87°
Therefore, the angle of the car's total displacement measured from its starting direction (east) is approximately 36.87°.
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The center is O. The circumference is 28. 6 centimeters. Use 3. 14 as an approximation for pi
The diameter of the given circle with a circumference of 28.6 centimeters is approximately 9.11 cm.
The circumference of a circle is given by the simple formula: C = πd, where C is the circumference, π is the constant pi and d is the diameter of the circle.
Given that the circumference of the circle is 28.6 cm, we can use the formula to find the diameter:
28.6 = πd
d = 28.6/π
Using 3.14 as an approximation for π, we get:
d ≈ 28.6/3.14 ≈ 9.11
Therefore, the diameter of the circle is approximately 9.11 cm.
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1.14 a club has 10 members and is choosing a president, vice-president, and treasurer. all selections are equally likely. (a) what is the probability that tom is selected president?
The probability that Tom is selected as President is 1 in 10, or 0.1.
The probability of Tom being selected as President is 1 in 10, or 0.1. This is because there are 10 members in the club, and each selection is equally likely. Therefore, the chance of Tom being chosen as President is the same as any other member of the club. This means that there is a 1 in 10 chance of Tom being selected as President, or a 0.1 probability. This probability can also be expressed as a fraction: 1/10, which is the same as 0.1. To calculate the probability of any other selection, such as the Vice-President or Treasurer, the same method can be applied. The probability of any one member of the club being selected for any position is 1 in 10, or 0.1.
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can some one help me pleaseeee :(
a) 5/8
b) 3/5
Hope this helps
the cookie recipe calls for oatmeal and raisins in the ratio of 4 to 1. if 3 cups of oatmeal were called for, how many cups of raisins were needed?
What is the meaning of a 95% confidence interval for a population mean?
A 95% confidence interval is a set of data that contains the real mean of the population 95% of the time. This is not the same as a range that includes 95% of the possible values.
What is Confidence Interval?
In statistics, a confidence interval defines the possibility that a population parameter will fall between a set of values for a certain proportion of the time.
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You work in Social Media as a consultant. You are working on a new report to examine trends in Social Media usage and age. You conducted a survey of 1072 people randomly selected in the United States (you limited minimum age to 12). The file "Usagef.xlsx" has results of the survey. For each Social Media platform you have a 0/1 variable indicating whether or not the person said they used the platform in the last 6 months. For each of those variables, 1 means the person did use the platform in the last 6 months and 0 means they did not. You also have the age of each respondent calculated based on birth date (so 43.56 means the individual is 43.56 years old). There are two additional variables:
Young adult: 1=respondent is under 35; 0=respondent is 35 or over.
Platforms Used: The total number of Social Media platforms used in the last 6 months.
Please use this information and the data in the excel spreadsheet "Usagef.xlsx" to answer the following questions:
Assuming the sample is a random sample of the U.S. population, what is the upper bound of the 95% confidence interval for the average age in the U.S?
The upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.
To determine the upper bound of the 95% confidence interval for the average age in the U.S., we can use the sample data from the survey. The sample size is 1072 people, randomly selected from the U.S. population, with a minimum age of 12. By calculating the average age of the respondents, we can estimate the average age of the entire U.S. population.
Using the given information that the average age of the respondents is 43.56 years, and assuming that the sample is representative of the population, we can calculate the standard error. The standard error measures the variability of the sample mean and indicates how much the sample mean might deviate from the population mean.
Using statistical methods, we can calculate the standard error and construct a confidence interval around the sample mean. The upper bound of the 95% confidence interval represents the highest plausible value for the population average age based on the sample data.
Therefore, based on the provided information and calculations, the upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.
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write down the transition matrix of the associated embedded dtmc
In probability theory, a Discrete-Time Markov Chain (DTMC) is a mathematical model that describes a sequence of events in which the probability of each event depends only on the outcome of the previous event. The transition matrix of a DTMC is a matrix that shows the probability of moving from one state to another in a single time step.
To find the transition matrix of the associated embedded DTMC, we first need to define the state space and transition probabilities. Let's assume we have a system with three states: A, B, and C. The transition probabilities are as follows:
From A, there is a 0.5 probability of transitioning to B and a 0.5 probability of staying in A.
From B, there is a 0.3 probability of transitioning to A, a 0.4 probability of staying in B, and a 0.3 probability of transitioning to C.
From C, there is a 0.6 probability of transitioning to B and a 0.4 probability of staying in C.
To create the transition matrix, we place the probabilities in the corresponding rows and columns. The resulting matrix is:
| A B C
--|----------
A | 0.5 0.5 0
B | 0.3 0.4 0.3
C | 0 0.6 0.4
This matrix shows the probability of transitioning from one state to another in a single time step. For example, the probability of moving from state A to state B in one time step is 0.5.
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Which two-dimensional shapes are needed to build the pentagonal prism shown below?
Answer:
Option C
Step-by-step explanation:
2 pentagons and 5 rectangles are needed to build this pentagonal prism!
The two-dimensional shapes needed to build the pentagonal prism are 2 pentagons and 5 rectangles.
It has 2 congruent cross-sections that are pentagons, the other 5 faces are rectangles.
which of the sums below can be expressed as 8(2+7) a 8 + 56 B 10 + 14 C 16 + 7 d 16 + 56
Answer:
d) 16 + 56
Step-by-step explanation:
The simplest way to get the sum is to distribute 8 into 2 and 7 which is the same thing as multiplying to the two numbers in the parentheses. Your sum should be 16 + 56 when multiplied.
Please help. I will give brainliest.
Answer:
e
Step-by-step explanation: