Answer:
√x
Step-by-step explanation:
area = side × side = side²
√area = √(side²)
side = √area
area = x
side = √x
Answer: √x
Answer:
√x
Step-by-step explanation:
Find the length of a side of a square if its area is: x units²
Area = l²
inverse formulal = √Area
so your answer is
√x
please help me with this
Answer:
Step-by-step explanation:
If you are spinning a color wheel with eight colors on it and you have 100 spins to
get a red. After 99 spins you have gotten every color other than red. What is the
chance you will spin a red on the 100th spin? Justify your answer.
If the volume of a rectangular prism is 23,504 m3 and it has a height of 16 m, what is the value of B, the area of the base?
A. 1,469 m3
B. 1,469 m2
C. 11,752 m3
D. 11,752 m2
Answer:
B. 1469m2
Step-by-step explanation:
23504m3/16m
1469m2
Please help me out with this question
Answer:
-2.72
Step-by-step explanation:
-8.16 / 3 = -2.72
Extra:
3(-2.72) = -8.16
This is due in an hour pls help!!
To design a spinner with the given probabilities, we can use the following sectors:
A sector covering 60 degrees for the number 1, with probability 1/6.
A sector covering 120 degrees for the number 3, with probability 1/3.
A sector covering 180 degrees for the number 7, with probability 1/2.
A sector covering 180 degrees for the odd numbers (1 and 3), with probability 1.
To create the spinner, draw a circle and divide it into four equal sectors. Color one sector red for the number 1, color two adjacent sectors green for the number 3, color one remaining sector blue for the number 7. Finally, color half of the blue sector green to represent the odd numbers.
The resulting spinner will have the desired probabilities: P(1) = 1/6, P(3) = 1/3, P(7) = 1/2, P(odd number) = 1.
A random sample of 100 customers at a local ice cream shop were asked what their favorite topping was. The following data was collected from the customers.
Topping Sprinkles Nuts Hot Fudge Chocolate Chips
Number of Customers 12 17 44 27
Which of the following graphs correctly displays the data?
The scores earned in a flower-growing competition are represented in the stem-and-leaf plot.
1 7, 9
2 1, 5, 9
3 0, 1, 2
4 6, 9
Key: 2|1 means 21
What is the appropriate measure of variability for the data shown, and what is its value?
The IQR is the best measure of variability, and it equals 32.
The range is the best measure of variability, and it equals 11.
The IQR is the best measure of variability, and it equals 11.
The range is the best measure of variability, and it equals 32.
To determine the appropriate measure of variability for the given data, we first need to determine the range of the data, which is the difference between the largest and smallest values. The largest value in the data set is 49, and the smallest value is 17. Therefore:
Range = Largest value - Smallest value = 49 - 17 = 32
The range tells us the spread of the entire data set, but it can be heavily influenced by outliers. To get a measure of variability that is resistant to outliers, we can use the interquartile range (IQR), which measures the spread of the middle 50% of the data. To calculate the IQR, we need to find the first quartile (Q1) and the third quartile (Q3) of the data.
From the stem-and-leaf plot, we can see that the smallest value is 17 and the largest value is 49. To find Q1 and Q3, we need to identify the median of the lower half of the data and the median of the upper half of the data, respectively. The stem-and-leaf plot shows:
1 7, 9
2 1, 5, 9
3 0, 1, 2
4 6, 9
The median of the entire data set is the value that splits the data into two equal halves. Since there are 20 values in the data set, the median is theaverage of the 10th and 11th values when the data is sorted in ascending order. The 10th and 11th values are both 24, so the median is 24.
To find Q1 and Q3, we need to split the data set into two halves at the median and find the medians of each half. The lower half of the data set consists of:
17, 19, 21, 23, 24, 24, 25, 26, 29, 29
The median of this half is (24 + 23) / 2 = 23.5, which is closer to 23 than to 24. Therefore, Q1 is 23.
The upper half of the data set consists of:
31, 32, 34, 35, 36, 39, 49
The median of this half is (35 + 36) / 2 = 35.5, which is closer to 36 than to 35. Therefore, Q3 is 36.
Now we can calculate the IQR as:
IQR = Q3 - Q1 = 36 - 23 = 13
Therefore, the appropriate measure of variability for the given data is the IQR, which equals 13.
What is the probability of rolling a number less than or equal to 5 on a fair number
cube? Justify your answer.
Answer:
Step-by-step explanation:
The probability of rolling a number less than or equal to 5 on a fair number cube (also known as a fair six-sided die) is 5/6.
Justification: A fair number cube has six sides, numbered 1 through 6. Out of these six numbers, there are five numbers (1, 2, 3, 4, and 5) that are less than or equal to 5. Therefore, the favorable outcomes are 5, and the total possible outcomes are 6. Thus, the probability is 5/6.
anyone know this need asap
Answer: y=x-20
Step-by-step explanation:
(90,70) will be x1,y2. (30,10) will be x1,y1. Put these values into the slope formula, which is y2-y1/x2-x1. 70-10/90-30. 60/60=1. The slope is 1. Now to find the slope-intercept equation, use point slope form which is y-y1=m(x-x1). y-10=1(x-30). Distribute the 1 to the terms in the parenthesis. y-10=x-30. Add 10 to both sides to eliminate 10. y-10+10=x-30+10. y=x-20.
please help its timed
Answer:
The answer would be the option "C" or -432
Step-by-step explanation:
i've had this question before and have gotten it correct in the past.
Help!!!!
Mrs. Jones wants to paint the back wall of her classroom light blue. If the dimensions of the wall is 20 feet by 12 feet, how much paint will she need to paint her classroom wall? Round to the nearest tenth if necessary.
Answer:
The total area of the back classroom wall is (20ft x 12ft) = 240ft²
The paint coverage is usually rated by area coverage. For example, one gallon of paint is expected to cover 400 ft².
Assuming a gallon of paint will cover 400ft², she will need (240ft²/400ft²) = 0.6 gallon of paint to cover the entire wall.
Mrs. Jones will need 0.6 gallon of paint to paint the back classroom wall.
The line plots represent data collected on the travel times to school from two groups of 15 students.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 4, 6, 14, and 28. There are two dots above 10, 12, 18, and 22. There are three dots above 16. The graph is titled Bus 47 Travel Times.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 8, 9, 18, 20, and 22. There are two dots above 6, 10, 12, 14, and 16. The graph is titled Bus 18 Travel Times.
Compare the data and use the correct measure of center to determine which bus typically has the faster travel time. Round your answer to the nearest whole number, if necessary, and explain your answer.
Bus 18, with a median of 13
Bus 47, with a median of 16
Bus 18, with a mean of 13
Bus 47, with a mean of 16
To determine which bus typically has the faster travel time, we need to compare the measures of center for each data set. Since the data sets are relatively small and do not appear to have any extreme outliers, we can use either the mean or median as the measure of center.
Looking at the two line plots, we can see that Bus 18 has more dots clustered around the lower end of the scale, while Bus 47 has more dots spread out across the entire range of values. This suggests that Bus 18 may have a faster typical travel time.
Calculating the median for each data set confirms this suspicion. For Bus 18, the median is 13, which means that half of the students have a travel time of 13 minutes or less, and half have a travel time of 13 minutes or more. For Bus 47, the median is 16, which means that half of the students have a travel time of 16 minutes or less, and half have a travel time of 16 minutes or more.
Therefore, we can conclude that Bus 18 typically has the faster travel time, with a median of 13 minutes.
Recent statistics have reported that the total area of Brazil is about 3 × 10^6 square miles, while the total area of Japan is about 2 × 10^5 square miles.
Create and solve an equation that can be used to find about how many times larger the area of Brazil is than the area of Japan.
Answer:
195500000
Step-by-step explanation:
Population density
Population density of Brazil and Peru are equal
Thus,
Total population of any area million square kilometer people per square kilometer
miilion
Guys how do I do this?
The average high temperatures in degrees for a city are listed.
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
If a value of 80.4° is added to the data, how does the range change?
The range decreases to 46°.
The range stays 48°.
The range stays 49°.
The range increases to 50°.
Answer:
The Range Stays 48°.
Step-by-step explanation:\
Since the value 80.4° is not the highest and not the lowest value on the list, it does not change the range.
Hope this helps!
Answer: B. The range stays 48
Step-by-step explanation:
The largest answer is 105 and the smallest answer is 57. The range is the range of numbers from smallest to largest so to find the range you subtract the largest and the smallest
Range = 105 - 57
Range = 48
The range will not change because if you put 80.4 in there, it's not the largest or smallest so it does not affect the range.
So answer is B. The range stays 48
Line segment AB is bisected at point G by ray XY. Which of the following is true about point G?
When a line segment is bisected, it means that it is divided into two equal parts. In this case, line segment AB is bisected at point G by ray XY. Therefore, point G is the midpoint of line segment AB. This means that point G is equidistant from both endpoints of the line segment, and that it divides the line segment into two equal parts. So, the correct statement about point G is that it is the midpoint of line segment AB.
Line segment AB is bisected at point G by XY. Hence (option C), G is the midpoint of AB.
A line segment is a part of a line. It has an ending and starting point. Examples of line segments are the edges of a table, the side of a square or a rectangle.
A line bisector cuts the line segment into equal half. It intersects the other line segment at the mid-point.
A line bisector passes through the mid-point of the line segment.
Since G is bisecting AB, hence it will be the mid-point of line segment AB and not XY.
To know more about line segment: https://brainly.com/question/17374569
The complete question is -
AB is bisected at point G by XY. Which of the following is true about point G?
A. G is the midpoint of XY
B. G is both the midpoint of XY and the midpoint of AB***
C. G is the midpoint of AB
D. none of these
The box plots show the average gas mileage, in miles per gallon, of the cars sold at a dealership in June and in December.
Gas Mileage of Cars Sold in June
2 box plots. The number line goes from 14 to 34. For cars sold in June, the whiskers range from 21 to 33, and the box ranges from 22 to 29. A line divides the box at 24. For Cars sold in December, the whiskers range from 14 to 26, and the box ranges from 18 to 21. A line divides the box at 19.
Gas Mileage of Cars Sold in December
Which inference can be made about the cars?
The type of cars sold in June typically gets better gas mileage.
The type of cars sold in December typically gets better gas mileage.
The types of cars sold in the two months typically get about the same gas mileage.
The types of cars sold in the two months typically get better gas mileage than those sold in other months.
Based on the given box plots, we can infer that the type of cars sold in June typically gets better gas mileage than the type of cars sold in December.
We can see that the range of gas mileage for the cars sold in June is from 21 to 33 mpg, with a median of 24 mpg. The range of gas mileage for the cars sold in December is from 14 to 26 mpg, with a median of 19 mpg. This suggests that the cars sold in June have a higher gas mileage on average than the cars sold in December.
Additionally, the interquartile range (IQR) for the cars sold in June is from 22 to 29 mpg, while the IQR for the cars sold in December is from 18 to 21 mpg. This further supports the conclusion that the cars sold in June typically get better gas mileage than the cars sold in December.
Therefore, we can infer that the type of cars sold in June typically gets better gas mileage than the type of cars sold in December.
There’s a photo please help me out!
The probability of sleet is given as 0.85. To express this probability as a fraction, we simply write the decimal as a fraction with a denominator of 1.
0.85 can be written as 85/100, which can be simplified by dividing both the numerator and denominator by 5 to obtain 17/20.
Therefore, the probability of sleet can be expressed as the fraction 17/20.
What is Probability?Probability is a measure of the likelihood of an event occurring and is expressed as a number between 0 and 1, inclusive. An event with a probability of 0 is impossible, while an event with a probability of 1 is certain.
Probabilities can be expressed as fractions, decimals, or percentages. To convert a decimal or a percentage to a fraction, we write the decimal or percentage as a fraction with a denominator of 1 and simplify the fraction if possible.
For example, if the probability of an event is given as 0.75, we can write this as 75/100. We can simplify this fraction by dividing both the numerator and denominator by 25 to obtain 3/4. Therefore, the probability of the event can be expressed as the fraction 3/4.
Similarly, if the probability of an event is given as 60%, we can write this as 60/100. We can simplify this fraction by dividing both the numerator and denominator by 20 to obtain 3/5. Therefore, the probability of the event can be expressed as the fraction 3/5.
Probabilities can be used to make predictions about the likelihood of future events, and they are an important tool in many fields, including statistics, science, and finance.
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Bay Side School Seaside School
8, 6, 5 0 5, 8
8, 6, 5, 4, 2, 0 1 0, 1, 2, 5, 6, 8
5, 3, 2, 0, 0 2 5, 5, 7, 7, 8
3 0, 6
2 4
Key: 2 | 1 | 0 means 12 for Bay Side and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
PLEASE HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Part A: To calculate the measures of center, we can find the median and the mean for each school.
For Bay Side School, the median class size is the average of the 8th and 9th values when the data is sorted in ascending order. The 8th and 9th values are both 25, so the median class size is 25.
To find the mean class size for Bay Side School, we can add up all the class sizes and divide by the total number of classes. The sum of the class sizes is 12 + 12 + 12 + 14 + 15 + 15 + 16 + 16 + 18 + 18 + 20 + 20 + 23 + 25 + 25 = 243. There are 15 classes, so the mean class size is 243/15 ≈ 16.2.
For Seaside School, the median class size is the average of the 8th and 9th values when the data is sorted in ascending order. The 8th and 9th values are both 15, so the median class size is 15.
To find the mean class size for Seaside School, we can add up all the class sizes and divide by the total number of classes. The sum of the class sizes is 10 + 10 + 10 + 11 + 12 + 15 + 15 + 16 + 17 + 17Part A (continued):
18 + 18 + 20 + 20 + 25 = 222. There are 14 classes, so the mean class size is 222/14 ≈ 15.9.
Therefore, the measures of center for Bay Side School are: median = 25, mean ≈ 16.2.
The measures of center for Seaside School are: median = 15, mean ≈ 15.9.
Part B: To calculate the measures of variability, we can find the range and the interquartile range (IQR) for each school.
For Bay Side School, the range is the difference between the largest and smallest class sizes. The largest class size is 25, and the smallest class size is 12, so the range is 25 - 12 = 13.
To find the IQR for Bay Side School, we need to find the first quartile (Q1) and the third quartile (Q3) of the data. From the stem-and-leaf plot, we can see that Q1 is 15 and Q3 is 20. Therefore, the IQR is 20 - 15 = 5.
For Seaside School, the range is the difference between the largest and smallest class sizes. The largest class size is 25, and the smallest class size is 10, so the range is 25 - 10 = 15.
To find the IQRPart B (continued): for Seaside School, we need to find the first quartile (Q1) and the third quartile (Q3) of the data. From the stem-and-leaf plot, we can see that Q1 is 12 and Q3 is 18. Therefore, the IQR is 18 - 12 = 6.
Therefore, the measures of variability for Bay Side School are: range = 13, IQR = 5.
The measures of variability for Seaside School are: range = 15, IQR = 6.
Part C: If you are interested in a smaller class size, Seaside School is a better choice because its measures of center are lower than those of Bay Side School, indicating that its class sizes tend to be smaller on average. Additionally, Seaside School has a smaller range and IQR, indicating less variability in class size. Therefore, there is less chance of encountering very large classes at Seaside School compared to Bay Side School.
find the three equal equations
Answer:
2x+5, 4x+11-2x-6 and 2x-x+3+x-3+5
Step-by-step explanation:
those three answers add up to 2x+5
Answer:
Option (A), (D), (F)
Step-by-step explanation:
Option (A) = 2x + 5
Option (D) = 4x + 11 - 2x - 6
Option (F) = 2x - x + 3 + x - 3 + 5
Now let’s Prove this statement.
(A) = 2x + 5
= 2x + 5
(D) = 4x + 11 - 2x - 6
= 4x - 2x + 11 - 6
= 2x + 5
(F) = 2x - x + 3 + x - 3 + 5
= 2x - x + x + 3 - 3 + 5
= x + x + 5
= 2x + 5
As we can see that all the 3 equations give the same result as 2x + 5
Hence we can prove that Option (A), (D), (F) are all equal.
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3/4 w=6 solve for w
Bc.
To solve for w, you need to isolate the variable on one side of the equation.
The equation is 3/4 w = 6.
To isolate w, you need to divide both sides of the equation by 3/4.
3/4 w / 3/4 = 6 / 3/4
The left side simplifies to w, because the 3/4 on the left side cancel out.
w = 6 / 3/4
To divide by a fraction, you need to multiply by its reciprocal.
w = 6 * 4/3
The right side simplifies to 8.
w = 8
Therefore, w = 8.
[tex]\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}[/tex]
♥️ [tex]\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}[/tex]
Answer:
w = 8
Step-by-step explanation:
3w /4 = 6
Multiply each side by 4
3w = 24
Divide each side by 3
3w/3 = 24/3
w = 8
The ice-cream shop has the following tree diagram to show the customers the
possible combinations of ice creams they sell. Justify your answer.
The school band is putting on a concert. Eight students signed up to play the trumpet, 8 students signed up to play the flute, and 8 students signed up to play the violin. Which circle graph could be used to display the data?
A circle graph is split into 3 sectors of approximately 60 percent, 15 percent, 25 percent.
A circle graph is split into 3 sectors of approximately 50 percent, 25 percent, 25 percent.
A circle graph is split into 3 sectors of approximately 33 percent, 33 percent, 33 percent.
A circle graph is split into 3 sectors of approximately 70 percent, 15 percent, 15 percent.
The same amount of students play different instruments so the answer should be:
3 sectors (because there are three different instruments) with 33% in each of them.
Answer: The answer will be C
Because 8 students signed up to play the trumpet, 8 students signed up to play the flute, and 8 students signed up to play the violin. Which means it is equal to each other.
A survey of a group of seventh graders and a group of teachers at a local middle school asked how many siblings they each have. The dot plots below show the results.
Students
A dot plot titled Students. A number line going from 0 to 9 labeled number of siblings. There are 2 dots above 0, 4 above 1, 7 above 2, 5 above 3, 2 above 4, and 0 above 5, 6, 7, 8, and 9.
Teachers
A dot plot titled Teachers. A number line going from 0 to 9 labeled Number of siblings. There is 1 dot above 0, 3 dots above 1, 2 above 2, 4 above 3, 5 above 4, 3 above 5, 1 above 6, 0 above 7, 1 above 8, and 0 above 9.
Based on the shape of the two dot plots, which statements correctly compare them? Select three choices.
The center of the data for students has a value less than that of the center of the data for teachers.
The center of the data is to the right of the dot plot for both teachers and students.
There is a greater variation in the data for teachers than for students.
Both sets of data cluster around 2.
The same number of teachers as students were surveyed.
Answer: ii got d
Step-by-step explanation:
The line plot displays the cost of used books in dollars.
A horizontal line starting at 1 with tick marks every one unit up to 9. The line is labeled Cost in Dollars, and the graph is titled Cost of Used Books. There is one dot above 2, 4, 8, and 9.There are two dots above 6 and 7. There are three dots above 3.
Which measure of center is most appropriate to represent the data in the graph, and why?
The mean is the best measure of center because there are no outliers present.
The mean is the best measure of center because there are outliers present.
The median is the best measure of center because there are no outliers present.
The median is the best measure of center because there are outliers present.
The median is the best measure of center because there are outliers present.
In this graph, there are some values that occur more frequently than others, which means that the data is not evenly distributed. Additionally, there are some values that are much larger than the others, such as the three dots above 3 and the single dot above 9. These values are considered outliers because they are much larger than the other values in the data set. Outliers can significantly affect the mean, making it an unreliable measure of center. Therefore, the median is a better measure of center for this data set because it is not affected by outliers.
PLEASEEEEEE HELPPPP!!!!!!
The spinner has a total of 6 possible outcomes, and each outcome has a different probability of occurring. To find the probability of an outcome, we divide the number of ways that outcome can occur by the total number of possible outcomes.
The possible outcomes and their frequencies are:
2 appears once
6 appears twice
8 appears three times
Therefore, the probabilities of the different outcomes are:
P(2) = 1/6 = 0.1667 or approximately 16.67%
P(5) = 0/6 = 0 or 0%
P(6) = 2/6 = 0.3333 or approximately 33.33%
P(8) = 3/6 = 0.5 or 50%
Note that the sum of all the probabilities must equal 1, since one of the outcomes must occur. In this case, 0.1667 + 0 + 0.3333 + 0.5 = 1, so we can be confident that we have calculated the probabilities correctly.
What is Probability?Probability is a branch of mathematics that deals with the study of random events and their outcomes. It is concerned with predicting the likelihood of a particular event occurring based on the available information.
In probability, an event is a set of outcomes, and the probability of an event is a number between 0 and 1 that indicates the likelihood of the event occurring. A probability of 0 means that the event is impossible, while a probability of 1 means that the event is certain.
In order to calculate probabilities, we need to identify the possible outcomes of an event and determine how likely each outcome is. The sum of the probabilities of all possible outcomes must always equal 1.
In the example given, the spinner has six possible outcomes, and each outcome has a different probability of occurring. By dividing the number of ways each outcome can occur by the total number of possible outcomes, we can calculate the probability of each outcome.
Probability is used in many fields, including statistics, finance, and science. It is an important tool for decision-making and risk analysis, and it can help us to make predictions about future events based on past data.
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At a recent baseball game of 5,000 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Mustard Chili
63 27 60
Based on the data in this sample, how many of the people in attendance would prefer mustard on a hot dog?
900
2,000
2,100
4,000
Out of the 150 people surveyed, 27 of them prefer mustard on a hot dog.
To estimate how many people out of the total 5,000 attendees prefer mustard, we can use proportions. We know that 27 out of 150 people prefer mustard, which is 18% of the sample. If we assume that the proportion of people who prefer mustard is the same in the entire population of 5,000 attendees, then we can estimate that:
0.18 x 5,000 = 900 people prefer mustard on a hot dog.
Therefore, based on the given data, an estimated 900 people in attendance would prefer mustard on a hot dog.
