Since they can't rent for a fraction of a day, the maximum number of days they can rent the small car with insurance is 10 days.
Insurance calculation.
The total cost of renting a small car with insurance is:
$465 = $25x + $21x
Simplifying and solving for x, we get:
$465 = $46x
x = 10.11
Since they can't rent for a fraction of a day, the maximum number of days they can rent the small car with insurance is 10 days.
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In ΔIJK, k = 590 inches, ∠I=86° and ∠J=29°. Find the length of j, to the nearest 10th of an inch
Answer:
580.4 inches.
Step-by-step explanation:
To find the length of j, we can use the law of sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is equal to the same ratio for another side and its opposite angle. That is,
j/sin(86°) = k/sin(29°)
Substituting the given values, we get:
j/sin(86°) = 590/sin(29°)
Multiplying both sides by sin(86°), we get:
j = 590*sin(86°)/sin(29°)
Using a calculator, we get:
j ≈ 580.3 inches
Rounding to the nearest tenth of an inch, we get:
j ≈ 580.3 ≈ 580.4 inches
Therefore, the length of j is approximately 580.4 inches.
Answer:
Step-by-step explanation:
315.6
A small can of tomato paste has a radius of 2 inches and a height of 4 inches. Suppose the larger, commercial-size can has dimensions that are related by a scale factor of 3. Which of these is true?
The correct statement about scale factor is the radius of the larger can will be 8 inches. (option c).
Let's first consider the dimensions of the small can of tomato paste. We are given that it has a radius of 2 inches and a height of 4 inches. Therefore, its volume can be calculated using the formula for the volume of a cylinder, which is V = πr²h, where V is the volume, r is the radius, and h is the height. Substituting the given values, we get:
V_small = π(2²)(4) = 16π cubic inches
Using these dimensions, we can calculate the volume of the larger can using the same formula:
V_large = π(6²)(12) = 432π cubic inches
Now, let's compare the volumes of the small and large cans. We have:
V_large = 432π cubic inches > 16π cubic inches = V_small
Therefore, we can conclude that the volume of the larger can is greater than the volume of the smaller can. But is it three times greater? Let's compare:
V_large = 432π cubic inches 3
V_small = 3(16π) cubic inches = 48π cubic inches
We see that 432π cubic inches is not equal to 48π cubic inches, so option b) is not correct.
Finally, let's consider the radius of the larger can. We found earlier that it is 6 inches, which is greater than the radius of the smaller can, but it is not 8 inches. Therefore, option c) is correct.
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Complete Question:
A small can of tomato paste has a radius of 2 inches and a height of 4 inches. Suppose the larger, commercial-size can has dimensions that are related by a scale factor of 3. Which of these true?
a) The radius of the larger can will be 5 inches.
b) The volume of the larger can will be 3 times the volume of the smaller can
c) The radius of the larger can will be 8 inches.
d) The volume of the larger can is 3 times the volume of smaller can
6 Explain A video game company will make
a new game. The manager must choose between a role-
playing game and an action game. He asks his sales staff
which of the last 10 released games sold the most copies.
Explain why this is a statistical question.
The question is statistical because it requires data analysis, statistical methods, and interpretation of results to make a decision.
What is a Statistical question:A statistical question is a question that can be answered by collecting and analyzing data. It is a question that involves variability, uncertainty, or randomness and cannot be answered with a single definitive answer.
Instead, it requires the use of statistical methods to analyze and summarize data to make informed decisions.
Here we have
A video game company will make a new game. The manager must choose between role-playing the game and an action game. He asks his sales staff which of the last 10 released games sold the most copies.
This is a statistical question because it involves collecting and analyzing data to make an informed decision.
The manager is seeking information from the sales staff about the last 10 released games to determine which type of game - role-playing or action - is more likely to sell well.
By analyzing the sales data, the manager can make a data-driven decision about which game to develop, rather than relying solely on intuition or personal preferences.
To answer the question, the sales staff would need to collect data on the sales figures of each of the last 10 released games, which involves using statistical methods to analyze and summarize data.v
Therefore,
The question is statistical because it requires data analysis, statistical methods, and interpretation of results to make a decision.
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PLEASE HELP AND EXPLAIN AND SHOW WORK ON HOW YOU GOT THE ANSWER I WILL MARK YOU BRAINLIEST.
Answer:
Step-by-step explanation:
for which data frequency is seasonality not a problem? group of answer choices monthly. weekly. annual. daily. quarterly.
Seasonality may be less of a problem for annual data frequency as there may be less variation due to the longer time interval.
What is annual data frequency?Annual data frequency refers to data that is collected and reported on an annual basis. This means that the data points in the dataset represent a full year's worth of data, with one data point for each year. Annual data is often used in economic indicators, such as gross domestic product (GDP) or unemployment rates, and can provide insights into long-term trends and changes over time.
What is GDP?GDP stands for Gross Domestic Product, which is a measure of the total value of goods and services produced within a country's borders during a specific time period, typically a year. It is used as an indicator of a country's economic health and growth. GDP is calculated by adding up the total spending on consumption, investment, government spending, and net exports (exports minus imports) during the period.
According to the given informationSeasonality may still be a problem for data frequencies of monthly, weekly, daily, and quarterly as certain patterns or fluctuations may occur within each of these time intervals. Seasonality may be less of a problem for annual data frequency as there may be less variation due to the longer time interval.
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Explain why the value of 0.6 is greater than the value of 0.39.
Answer:
B
Step-by-step explanation:
The value of 0.6 is greater than the value of 0.39 because 0.6 represents a larger proportion or fraction of a whole than 0.39 does.
To compare these two values, we can think of them as parts of a whole. For example, we can consider 0.6 as 60% of a whole and 0.39 as 39% of the same whole. When we compare 60% and 39%, it is clear that 60% is greater than 39%.
Another way to compare these two values is to convert them to fractions. 0.6 can be written as 6/10 or 3/5, while 0.39 can be written as 39/100.
When we compare 6/10 and 39/100, we can see that 6/10 is greater than 39/100 because 6/10 represents 6 parts out of 10, while 39/100 represents 39 parts out of 100.
Therefore, we can conclude that the value of 0.6 is greater than the value of 0.39 because it represents a larger proportion or fraction of a whole.
X and y represent positive integers such that 18x+11y= 2020. What is the greatest possible value of x+y
Answer:
To find the greatest possible value of x + y, we need to maximize the values of x and y such that they are still positive integers and satisfy the given equation 18x + 11y = 2020.
We can start by rearranging the equation to solve for y:
11y = 2020 - 18x
y = (2020 - 18x)/11
For y to be a positive integer, 2020 - 18x must be divisible by 11. We can test values of x starting from x = 1 and increasing by 1 until we find the largest possible value of x that satisfies this condition.
When x = 1, 2020 - 18x = 2002, which is divisible by 11. This gives us a value of y = 182/11, which is not a positive integer.
When x = 2, 2020 - 18x = 1984, which is divisible by 11. This gives us a value of y = 180/11, which is not a positive integer.
When x = 3, 2020 - 18x = 1966, which is divisible by 11. This gives us a value of y = 178/11, which is not a positive integer.
When x = 4, 2020 - 18x = 1948, which is divisible by 11. This gives us a value of y = 176/11, which is not a positive integer.
When x = 5, 2020 - 18x = 1930, which is divisible by 11. This gives us a value of y = 174/11, which is not a positive integer.
When x = 6, 2020 - 18x = 1912, which is divisible by 11. This gives us a value of y = 172/11, which is not a positive integer.
When x = 7, 2020 - 18x = 1894, which is divisible by 11. This gives us a value of y = 170/11, which is not a positive integer.
When x = 8, 2020 - 18x = 1876, which is divisible by 11. This gives us a value of y = 168/11, which is not a positive integer.
When x = 9, 2020 - 18x = 1858, which is divisible by 11. This gives us a value of y = 166/11, which is not a positive integer.
When x = 10, 2020 - 18x = 1840, which is divisible by 11. This gives us a value of y = 164/11, which is not a positive integer.
When x = 11, 2020 - 18x = 1822, which is divisible by 11. This gives us a value of y = 162/11, which is not a positive integer.
When x = 12, 2020 - 18x = 1804, which is divisible by 11. This gives us a value of y = 160/11, which is not a positive integer.
When x = 13, 2020 - 18x = 1786, which is divisible by 11. This gives us a value of y = 158/11, which is not a positive integer.
When x = 14, 2020 - 18x = 1768, which is divisible by 11. This gives us a value of y = 156/11, which is not a positive integer.
When x = 15, 2020 - 18x = 1750, which is divisible by 11. This gives us a value of y = 154/11, which is not a positive integer.
When x = 16, 2020 - 18x = 1732, which is divisible by 11. This gives us a value of y = 152/11, which is not a positive integer.
When x = 17, 2020 - 18x = 1714, which is divisible by 11. This gives us a value of y = 150/11, which is not a positive integer.
When x = 18, 2020 - 18x = 1696, which is divisible by 11. This gives us a value of y = 148/11, which is not a positive integer.
When x = 19, 2020 - 18x = 1678, which is divisible by 11. This gives us a value of y = 146/11, which is not a positive integer.
When x = 20, 2020 - 18x = 1660, which is divisible by 11. This gives us a value of y = 144
Louise and girl lol repaired a computer and we're paid 1165.50 if Carla work for 12 hours and Louis work for nine hours how much was their pay per hour?
The amount of their pay per hour is $55.5
How to determine the amount?The given parameters that will help us to get the amount are.
Louise repaired a computer for each hour she works and we're paid 1165.50
The question reads that if Carla work for 12 hours and Louise work for nine hours
this implies that 12x + 9x = 1165.50
This implies that 21x = 1165.50
Dividing both sides of the equation by 2 to get
21x/21 = 1165.50/21
x = 55.5
So, their their pay per hour is $55.5
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At a candy store, gummy bears are $5.25 per pound and jelly beans are $3.90 per pound. David has 1 3/4 pounds of jelly beans in his basket. Write and solve an inequality to determine the maximum number of pounds of gummy bears David can buy if he has $15 to spend. (Weights are measured to the nearest hundredth of a pound.)
If David already has 7/4 pounds of jelly beans, then 1.55 pounds of gummy bears can he buy.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
To determine the remaining amount of money available left to buy gummy bears, we have to find the amount of money already spent on jelly beans.
Amount of money spent on jelly beans;
= 7/4 × 3.90
= 6.825
Amount of money left for gummy bears ;
= 15-6.825
= 8.175
Thus, Pounds of gummy bears bought = 8.175 ÷ 5.25
= 1.55 pounds
Hence, If David already has 7/4 pounds of jelly beans, then 1.55 pounds of gummy bears can he buy.
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can someone help i well give brilliant pls <3
Answer: If line m is rotated 90 degrees clockwise about the point of interection, line m would overlap with n
Step-by-step explanation:
Choose is the following are either; likely, unlikely, impossible, certain, or as likely as not:
A. choosing the letter M from a bag that contains magnets for each letter in the alphabet.
B. choosing a consonant from a bag that contains magnets for each letter in the alphabet.
C. Drawing a red card from a deck of cards. ( I'm guessing the cards are number cards)
D. drawing a number between 2 and 20 from a deck of cards.
E. drawing the number 1 from a deck of cards
As likely as not (assuming the bag contains an equal number of magnets for each letter in the alphabet).
What is Probability?Probability is a measure of the likelihood or chance that a particular event will occur. It is expressed as a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain to occur.
In probability theory, the probability of an event is calculated by dividing the number of ways that the event can occur by the total number of possible outcomes. This is known as the probability formula:
probability = Number of favorable outcomes / Total number of possible outcomes
Probability is used in a wide range of fields, including statistics, finance, physics, and engineering, to model and analyze uncertain situations and make predictions.
B. Likely (assuming the bag contains an equal number of magnets for each letter in the alphabet, and that there are more consonants than vowels in the alphabet).
C. Unlikely (assuming the deck contains an equal number of red and black cards).
D. Impossible (assuming the deck contains only standard playing cards with 52 cards, including 13 cards for each of the four suits).
E. Unlikely (assuming the deck contains only standard playing cards with 52 cards, including 4 cards for each number or face value).
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Bill calculates his annual salary (commission and base pay), y, using the model y = 0. 40x + 45,000, where x represents his total sales for the year. What is the meaning of the y-intercept in the model?
In the given model, y = 0.40x + 45,000, the y-intercept represents the fixed or base pay that Bill receives annually, irrespective of his total sales.
In other words, even if Bill makes no sales at all, he will still receive a base salary of $45,000 per year. The y-intercept is the point where the line intersects the y-axis, which represents the value of y when x equals 0.
The slope of the line, 0.40, represents the commission rate that Bill earns on his total sales. For each dollar of sales that Bill makes, he earns 40 cents in commission.
Therefore, the y-intercept is a constant value in the model and represents the guaranteed income that Bill receives regardless of his performance in sales. This base salary serves as a motivation for employees to perform better and increase their sales, thereby earning more commission.
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The answers are in the picture. I need help ASAP!
The perimeter of a hexagon is the sum of the lengths of its six sides. The side length of the hexagon is found by dividing the perimeter by 6, and the area can be calculated using the formula: Area = (3√3 / 2) × s². Substituting the side length and solving yields the area of the hexagon. In this case, the area is 294√3.
What is hexagon?A hexagon is a six-sided polygon that has six angles and six vertices. It is a flat shape with straight sides that are of equal length and interior angles that add up to 720 degrees.
What is perimeter of hexagon?The perimeter of a hexagon is the total length of all six sides of the polygon. To find the perimeter, you add up the lengths of all the sides.
According to the given information:
To find the side length of the hexagon, we can use the fact that the perimeter of the hexagon is 84. Since a hexagon has six sides of equal length, the length of one side can be found by dividing the perimeter by 6:
84 / 6 = 14
Therefore, the side length of the hexagon is 14.
To find the area of the hexagon, we can use the formula:
Area = (3√3 / 2) × s²
where s is the length of one side of the hexagon. Substituting s = 14, we get:
Area = (3√3 / 2) × 14²
Area = (3√3 / 2) × 196
Area = 294√3
Therefore, the area of the hexagon is 294√3.
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which measures of center and variability would be most appropriate to describe the given distribution?
The choice of measures of center and variability depends on the shape and characteristics of the distribution. If the distribution is skewed or has outliers, then the median and IQR would be more appropriate measures of center and variability, respectively.
What is median?The median is a measure of central tendency that represents the middle value in a dataset when the data is arranged in order of magnitude. Specifically, it is the value that separates the data set into two equal halves. In other words, half of the values in the dataset are greater than the median, and the other half are less than the median.
To calculate the median, you first need to arrange the data in order from lowest to highest (or highest to lowest).
The value that divides the data set into two equal portions is called the median. It is a robust measure of center, meaning that it is not affected by extreme values or outliers. The IQR is the range of values that contains the middle 50% of the data, and it is also a robust measure of variability.
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Step 1: Subtract 3 from both sides of the inequality.
Step 2: __________
Step 3: Divide both sides of the inequality by the coefficient of x.
What is the missing step in solving the inequality 5 – 8x < 2x + 3?
Add 2x to both sides of the inequality.
Subtract 8x from both sides of the inequality.
Subtract 2x from both sides of the inequality.
Add 8x to both sides of the inequalit
Answer:
Add 8x to both sides of the inequality.
Step-by-step explanation:
The steps to solve this inequality are:
5-8x<2x+3
-3 -3
2-8x<2x
+8 +8 <---- this is step 2
2<10x
5<x
A woodpecker is beating its wings 850 times a minute. A hummingbird is beating its wings 5 times faster.
How many times a minute is the hummingbird beating its wings?
If a woodpecker is beating its wings 850 times per minute, and a hummingbird is beating its wings 5 times faster, we can calculate the hummingbird's wing beats per minute by multiplying the woodpecker's wing beats by the factor of 5.
Hummingbird's wing beats per minute = Woodpecker's wing beats per minute x 5
Plugging in the value for the woodpecker's wing beats per minute:
Hummingbird's wing beats per minute = 850 wing beats/minute x 5 = 4250 wing beats/minute
Therefore, the hummingbird is beating its wings 4250 times per minute.
in a recent poll of 1200 randomly selected adult office workers, 32% said they had worn a halloween costume to the office at least once. what is the margin of error, using a 95% confidence level, for estimating the true population proportion of adult office workers who have worn a halloween costume to the office at least once?
The margin of error for estimating the true population proportion of adult office workers who have worn a Halloween costume to the office at least once, using a 95% confidence level, is approximately 0.02633 .
What is known by random variable?A random variable is a variable whose value is unknown, or a function that assigns values to each of an experiment's outcomes.
What is meant by proportion?A proportion is an equation in which two ratios are set equal to each other.
The margin of error for estimating the true population proportion can be calculated using the formula:
Margin of Error = Critical Value * Standard Deviation
where the Critical Value is determined based on the desired confidence level and the Standard Deviation is an estimate of the variability of the population proportion.
Given that the sample size is large (n = 1200) and we are using a 95% confidence level, we can use the standard normal distribution (Z-distribution) for the Critical Value. The critical value for a 95% confidence level in a standard normal distribution is approximately 1.96.
The Standard Deviation can be estimated using the sample proportion, which is given as 32% or 0.32 in this case. The sample proportion is a point estimate of the population proportion.
Using these values, we can calculate the margin of error as follows:
Margin of Error = 1.96 * √( (0.32 * (1 - 0.32)) / 1200 )
= 1.96 * √( 0.2176 / 1200 )
= 1.96 * √( 0.00018133333 )
= 1.96 * 0.01345451543
= 0.02633 (rounded to 5 decimal places)
So, the margin of error for estimating the true population proportion of adult office workers who have worn a Halloween costume to the office at least once, using a 95% confidence level, is approximately 0.02633 .
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what is the circumference of a circle witya diameter of 25cm and 2.5cm
Answer:
To find the circumference of a circle with diameter 25cm, we can use the formula:
Circumference = π × Diameter
where π (pi) is a mathematical constant approximately equal to 3.14159.
Substituting the diameter of 25cm, we get:
Circumference = π × 25cm
= 3.14159 × 25cm
= 78.53975cm
Therefore, the circumference of the circle with diameter 25cm is approximately 78.54cm.
To find the circumference of a circle with diameter 2.5cm, we can again use the same formula:
Circumference = π × Diameter
Substituting the diameter of 2.5cm, we get:
Circumference = π × 2.5cm
= 3.14159 × 2.5cm
= 7.85398cm
Therefore, the circumference of the circle with diameter 2.5cm is approximately 7.85cm.
Lucia has three separate pieces of ribbon. Each piece is 5 yards long. She needs to cut pieces that are 27 inches long to decorate folklorico dance dresses. What is the greatest number of 27-inch pieces that she can cut from three pieces of ribbon?
A 20
B 18
C 7
D 6
The greatest number of 27-inch pieces that she can cut from three pieces of ribbon is found to be 19. So, option B is the correct answer choice.
Each yard is equal to 36 inches, so 5 yards are equal to 180 inches. Therefore, each piece of ribbon is 180 inches long.
To find out how many 27-inch pieces Lucia can cut from each piece of ribbon, we divide 180 by 27.
180/27 = 6.67
Since Lucia can only cut whole pieces, she can cut 6 pieces of ribbon from each piece of ribbon.
Therefore, she can cut a total of 6 x 3 = 18 pieces of ribbon from the three separate pieces of ribbon.
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discuss possible sources of measurement error in this experiment. are these sources of error enough to account for the percent differences you calculated from your data? write out your answer in a clear and well supported paragraph.
The "possible-sources" of in the measurement error of an experiment are Instrument error, Human error, sampling error and environmental factors, these sources "may" or "may-not" be enough to account for the percent differences calculated from the data.
There are several possible sources of "measurement-error" in an experiment which affect the accuracy and precision of the results.
These sources include instrument error, human error, environmental factors, and sampling error.
(i) "Instrument-Error" : is defined as inaccuracies in the measuring instruments used in the experiment. This include issues such as calibration errors, sensitivity of the instruments.
(ii) "Human-Error" can arise from mistakes made by experimenters during data collection or analysis, such as misreading measurements or recording data incorrectly.
(iii) "Environmental-Factors", such as temperature, humidity, or electromagnetic interference, can also cause error into experiment if they affect performance of measuring instruments.
(iv) "Sampling-Error" occur when a subset of the population is used for the experiment, and the results are generalized to the entire population.
Depending on the magnitude of these sources of error, they may or may not be enough to account for the percent differences calculated from the data.
If the measurement errors are small and within an acceptable range for the experiment, they may not significantly impact the results.
If the errors are large or systematic, they can introduce significant bias into the data and affect the percent differences calculated.
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The given question is incomplete, the complete question is
Discuss the possible sources of measurement error in an experiment. Are these sources of error enough to account for the percent differences you calculated from your data? write out your answer in a clear and well supported paragraph.
Make sure you click on the answer in the drop box that goes in the blank for each numbered blank.
BLANK #1 PLEASE ANSWER ALL THE BLANKS 100 points
1 - THEOREM, 2 - RIGHT, 3 - SUM, 4 - LEGS, 5 - SQUARE, 6 - A, 7 - B, 8 - C, 9 - HYPOTENUSE, 10 - 90-DEGREES
The full statement reads: The pythagoras theorem tells us how the side lengths of right triangles are related. In any right triangle the sum of the squares of the two legs should equal the square of the hypotenuse. The legs are called A and B and the hypotenuse is C. The hypotenuse is always the longest side of a right triangle and its across from the 90-degrees angle.
Some properties of right angled trianglesLet us assume the triangle is ABC, and the angle C is 90 degrees. let the length the side AB = c, the length of side AC = b, the length of side BC is a.
1. The sum of the two non 90 degree angles is equal to 90 degrees.
2. cos(B) = a/c , sin(B) = b/c
3. cos(A) = b/c, sin(A) = a/c
4 [tex]c^2 = a^2 + b^2[/tex]
5 the diameter of the circumcircle of this triangle is c.
6 tan(A) = a/b
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Titus and Alejandro are both on the track team. Each day in May they are recorded how long it took them to run one mile. Titus Mean: 7. 2 minuts, Standard deviation : 0. 15 minute. Alejandro: Mean 7. 1 minutes, Standard deviation: 0. 34 minutes. Base on the data, who had the greater speed?
Based on the data, Alejandro had a greater speed than Titus.
The mean time of Titus = 7. 2 minutes,
The mean time of Alejandro = 7. 1 minutes,
Calculating their average speed, which is the reciprocal of the time it takes them to run a mile, will allow to reasonably compare Titus and Alejandro's total running speed.
Using the formula for average speed -
Average speed = 1 / time
Calculating the average speed of Titus -
Average speed = 1/ Time taken by Titus
= 1 / 7.2
= 0.1389 miles per minute
Calculating the average speed of Alejandro -
Average speed = 1/ Time taken by Alejandaro
= 1 / 7.1
= 0.1408 miles per minute
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A container built for transatlantic shipping is constructed in the shape of a right
rectangular prism. Its dimensions are 4 ft by 9.5 ft by 13 ft. If the container is entirely
full and, on average, its contents weigh 0.05 pounds per cubic foot, find the total
weight of the contents. Round your answer to the nearest pound if necessary
Thus, the on average the contents weight for the transatlantic shipping is found as 24.7 pounds.
Explain about the rectangular prism:a solid, three-dimensional object with six rectangular faces.It is a prism due to its uniform cross-section along its whole length.Volume is a unit of measurement for the amount of 3-dimensional space a thing occupies. Cubic units are used to measure volume.Given dimension of rectangular prism
Length l = 4ft
width w = 9.5 ft
height h = 13 ft
Volume of rectangular prism = l*w*h
V = 4*9.5*13
V = 494 ft³
Now,
1 ft³ = 0.05 pounds
So,
weight of 494 ft³ = 494*0.05 pounds
weight of 494 ft³ = 24.7 pounds
Thus, the on average the contents weigh for the transatlantic shipping is found as 24.7 pounds.
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120 pupils took an examination 60% passed Dagare, 80% passed fante and 20 passed both fante and Dagare (I) Draw a venn diagram for the data (ii) How many students passed only one subject
Please I need an answer to this question immediately.
Therefore, all 120 students passed at least one subject from the the Venn diagram.
Venn diagram explained.
Let's start by drawing a Venn diagram.
D
o-----o
/ \ / \
/ \ / \
o-----o-----o
F 20
Where D represents the set of students who passed Dagare, F represents the set of students who passed Fante, and the overlap between D and F represents the set of students who passed both.
To find the number of students who passed only one subject, we need to subtract the number of students who passed both subjects from the total number of students who passed each subject individually.
Number of students who passed only Dagare: 60% - 20% = 40%
Number of students who passed only Fante: 80% - 20% = 60%
So the number of students who passed only one subject is:
0.4 x 120 + 0.6 x 120 = 48 + 72 = 120
Therefore, all 120 students passed at least one subject.
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convert this denary number 33 to a binary number
Answer: 100001
Step-by-step explanation: The trick for binary is that it only uses 1 & 0 for its number system. It goes by a system where you take 1 and multiply by 2, then you multiply 2 by 2, and so forth. So 33 has one 32, and one 1.
the sum of two dice that are independently rolled is like the sum of two draws from the box containing six tickets labeled 1, 2, 3, 4, 5, 6. a student thinks taking one draw from the box with 11 tickets labeled 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 would give the same answers. do you agree? explain your reasoning.
The sum of two draws from a box containing 11 tickets labeled 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 is equivalent to the sum of two dice rolls, as the outcomes are not equally likely
What are dice rolls?
Dice rolls are a random event used in various games and activities. A dice typically has six sides, each side marked with a different number of , ranging from 1 to 6. To roll a dice, the player tosses it in the air, causing it to spin and land on a random side.
Dice rolls are often used in games of chance, such in role-playing games, where they are used to determine the outcome of actions or events. They are also used in probability theory, where the probability of a certain outcome can be calculated based on the number of sides on the dice and the number of times it is rolled.
The sum of two dice that are independently rolled and the sum of two draws from a box containing six tickets labeled 1, 2, 3, 4, 5, 6 are indeed equivalent. This is because there are 36 possible outcomes when rolling two dice, and each outcome is equally likely. The sum of the two dice can range from 2 (when both dice show a 1) to 12 (when both dice show a 6).
Similarly, when drawing two tickets from a box containing six tickets labeled 1, 2, 3, 4, 5, 6, there are 36 possible outcomes, with each outcome being equally likely. The sum of the two draws can range from 2 (when both draws yield a 1) to 12 (when both draws yield a 6).
However, if we use a box containing 11 tickets labeled 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, the outcomes will not be equally likely, and the sum of the two draws will not be the same as the sum of two dice rolls. For example, there is only one way to get a sum of 2 with two dice (rolling two 1s), but there are two ways to get a sum of 2 when drawing from the box (drawing a 1 and a 1 or drawing a 2 and a 0).
Therefore, we cannot say that the sum of two draws from a box containing 11 tickets labeled 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 is equivalent to the sum of two dice rolls, as the outcomes are not equally likely.
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How do you interpret two-way tables?
Overall, interpreting a two-way table requires careful attention to detail and the ability to think critically about the data. It is important to look beyond the numbers themselves and try to understand what they are telling you about the relationship between the variables.
What are the Two-way tables?
Two-way tables, also known as contingency tables, are a way to display the frequency distribution of two categorical variables. The variables are usually listed as rows and columns, with the frequency of each combination of values shown in the cells of the table.
Interpreting a two-way table involves looking at the relationships between the variables and identifying patterns in the data. Here are some steps you can follow to interpret a two-way table:
Look at the marginal frequencies: These are the totals for each row and column. They give you an idea of the distribution of each variable individually.
Look at the conditional frequencies: These are the frequencies of each combination of values, divided by the marginal frequency of one of the variables.
They tell you the proportion of one variable that has a certain value, given that the other variable has a certain value.
Look for patterns: Look for rows or columns with high or low frequencies, and try to identify any trends or patterns in the data.
Are there any combinations of values that are more or less common than others? Are there any values that seem to be associated with each other?
Draw conclusions: Based on the patterns you observe, draw conclusions about the relationship between the two variables. Do they appear to be independent, or is there evidence of a causal relationship?
hence, Overall, interpreting a two-way table requires careful attention to detail and the ability to think critically about the data. It is important to look beyond the numbers themselves and try to understand what they are telling you about the relationship between the variables.
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What is algebra? Why is it so crucial for mathematics?
Answer:
Algebra is the part of mathematics in which letters and other general symbols represent numbers and quantities in formulae and equations. A system of algebra is based on given axioms.
Step-by-step explanation:
For example α+α+α=3α but α×α×α=α³
or
t=2+1α
when α= 1,2,3
1st term= 3
2nd term=4
3rd term=5
Q. What would be the value of the 5th term?
A. 4th term =6
so 5th term = 7
I hope this is useful and that you give brainliest to me pls
For the function 8-(x-3)^2,
state the domain
The domain of the function 8 - [tex](x-3)^{2}[/tex] is R which is all the real numbers.
What is domain of a function?
The set or grouping of all potential values that may be used in the function is known as the domain.
We are given a function as 8 - [tex](x-3)^{2}[/tex].
Now, in order to find the domain, we need to find the values where the function is not defined for a value of x.
But, there is no such value for x where the function is not defined.
This means that all values of x give an output.
So, the domain is the set of all the real numbers.
Hence, the domain of the given function is R.
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mary, james, and carlos sold -page advertisements for the school yearbook. mary sold twice as many as carlos did, and james sold 3 times as many as mary did. what fraction of these advertisements did carlos sell?
The fraction of Carlos sold 1/9 of the advertisements.
Let's start by assigning a variable to represent the number of advertisements Carlos sold. We can call this variable "C".
According to the problem:
Mary sold twice as many advertisements as Carlos, which means Mary sold 2C advertisements.
James sold 3 times as many advertisements as Mary, which means James sold [tex]3(2C) = 6C[/tex] advertisements.
The total number of advertisements sold is the sum of what each person sold:
Total = Mary + James + Carlos
Total = [tex]2C + 6C + C[/tex]
Total = 9C
We can see that the total number of advertisements sold is 9 times the number that Carlos sold.
To find the fraction of advertisements that Carlos sold, we can divide the number of advertisements that Carlos sold by the total number of advertisements:
Fraction sold by Carlos = C/Total
Fraction sold by Carlos = [tex]C/(9C)[/tex]
Fraction sold by Carlos = [tex]1/9[/tex]
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