Logan surveys students in his science class about their favorite topic: biology, physics or chemistry, then tries to create a two-way table. However, his teacher says this is not an appropriate display. How could Logan adjust his survey to make a two-way table appropriate?
Answers
Answer:
In summary, to make a two-way table appropriate, Logan needs to add another categorical variable to his survey. This will allow him to create a table that displays the relationship between his classmates' favorite science topic and this additional variable.
Step-by-step explanation:
A two-way table is a type of table that displays the relationship between two categorical variables. In Logan's case, he wants to display the relationship between his classmates' favorite science topic and their respective frequencies. However, his teacher is right in saying that this is not an appropriate display since a two-way table requires two categorical variables, one for each dimension of the table.
To make a two-way table appropriate, Logan needs to add another categorical variable to his survey. For example, he could ask his classmates about their grade level or their gender. This additional variable will allow him to create a table that displays the relationship between his classmates' favorite science topic and their grade level or gender.
Once Logan has collected data on the three variables, he can create a two-way table that displays the frequencies of each combination of variables. For example, if Logan's additional variable is grade level, he can create a table that shows the frequency of biology, physics, and chemistry favorites for each grade level.
In summary, to make a two-way table appropriate, Logan needs to add another categorical variable to his survey. This will allow him to create a table that displays the relationship between his classmates' favorite science topic and this additional variable.
Related Questions
11. Jimmy bought some used video games and used movies at the Movie Barn. He bought a total of 15 items and spent $106 in all, not including tax. Each used video game cost $10 and each used movie
cost $6. How many of each item did he buy?
Answers
Answer:
Used Video game = x = 11
Used movie = y = 4
Step-by-step explanation:
Let
Used Video game = x
Used movie = y
x + y = 15 (1)
10x + 6y = 106 (2)
From 1
x = 15 - y
Substitute x = 15 - y into (2)
10x + 6y = 106
10(15 - y) + 6y = 106
150 - 10y + 6y = 106
-10y + 6y = 106 - 150
- 4y = -44
Divide both sides by -4
y = -44/-4
= 11
y = 11
Substitute y = 11 into (1)
x + y = 15
x + 11 = 15
x = 15 - 11
= 4
x = 4
Used Video game = x = 11
Used movie = y = 4
when conducting multiple linear regression, how is the best model determined? group of answer choices by minimizing the sum of the squared residuals. by using as many predictor variables as you can think of it is impossible to determine which model is best for multiple linear regression. by using only the best predictor variable
Answers
the best model in multiple linear regression is typically determined by selecting the appropriate subset of predictor variables that minimizes the sum of squared residuals while considering statistical significance, model fit criteria and avoiding issues like multicollinearity.
The best model for multiple linear regression is typically determined by minimizing the sum of the squared residuals. This is achieved by finding the combination of predictor variables that provides the smallest difference between the observed values and the predicted values of the dependent variable.
In multiple linear regression, multiple predictor variables are used to estimate the relationship with the dependent variable. The goal is to find the subset of predictor variables that collectively yield the most accurate predictions. This is done by selecting variables that contribute significantly to explaining the variation in the dependent variable while avoiding overfitting the model.
Using as many predictor variables as you can think of is not necessarily the best approach because it can lead to overfitting and a less generalizable model. Including irrelevant or redundant variables may introduce noise and decrease the model's performance.
Therefore, the best model in multiple linear regression is typically determined by selecting the appropriate subset of predictor variables that minimizes the sum of squared residuals while considering statistical significance, model fit criteria (such as adjusted R-squared), and avoiding issues like multicollinearity.
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sofie's challenge is to identify which set of 3 33 ingredients was used in the cake. suppose that sofie is just randomly guessing. what is the probability that sofie correctly identifies the set of 3 33 ingredients in the cake?
Answers
The probability is approximately 0.000183, or about 0.0183%. It's a very low probability, highlighting the challenge of randomly guessing the correct combination.
To calculate the probability that Sofie correctly identifies the set of 3 out of 33 ingredients used in the cake by randomly guessing, we can use the concept of combinations.
The total number of possible combinations of 3 ingredients chosen from a set of 33 ingredients can be calculated using the combination formula:
C(n, r) = n! / (r!(n - r)!)
where n is the total number of ingredients (33 in this case), and r is the number of ingredients chosen (3 in this case).
Plugging in the values:
C(33, 3) = 33! / (3!(33 - 3)!)
= 33! / (3! * 30!)
= (33 * 32 * 31) / (3 * 2 * 1)
= 5456
There are 5456 possible combinations of 3 ingredients that Sofie can choose from.
Since Sofie is randomly guessing, there is only one correct combination out of the total possible combinations. Therefore, the probability of Sofie correctly identifying the set of 3 ingredients is:
Probability = 1 / 5456 ≈ 0.000183
So, the probability is approximately 0.000183, or about 0.0183%. It's a very low probability, highlighting the challenge of randomly guessing the correct combination.
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The kitchen supervisor at Cooper High School wanted to make sure that students were enjoying the lunches being provided. She decidedto conduct a survey. At the beginningof a certain lunch period, she gavethe first person who got in line asurvey and asked him or her to fill itout and return it. She then gave outsurveys to every 10th student whofollowed. This is an example of a:Answer Choices:simple random sample.systematic sample.cluster sample.stratified random sample.
Answers
SOLUTION:
Case: Sampling techniques
Method:
At the beginning of a certain lunch period, she gave the first person who got in line a survey and asked him or her to fill it out and return it. She then gave out surveys to every 10th student who followed.
A similar example is shown in the image below.
We see from the above image that there are equal steps between students selected for the survey.
Final answer:
Systematic sample
Answer:
Step-by-step explanation:
A knight travels in a straight line from the starting point to Token 1. The knight can only make right-angle turns to get to
Tokens 2 and 3. Answer parts (a) to (c) below.
a. Since the knight can only make right-angle turns, what are the slopes of the straight line paths the knight can travel?
Answers
The slope of the straight line paths the knight can travel is 1.
What is slope?Slope is the ratio of the rise, the vertical change, to the run, the horizontal change of a line.
To calculate the slope of the straight paths, we use the formula below.
Formula:
s = (y₂-y₁)/(x₂-x₁)............ Equation 1Where:
s = Slope of the straight line pathsFrom the question,
Given:
y₂ = 5y₁ = 2x₂ = 6x₁ = 3Substitute these values into equation 1
s = (5-2)/(6-3)s = 3/3s = 1hence, the slope of the straight line part is 1.
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Amazon Math Flow Questions • You have 30 associates who all work an 8 hour day, 5 days a week. 2 need to be indirect-they are not on the floor producing. Your direct rate is 150 units per hour but you have two 15 minute breaks during the day. How many units can your department produce in a 40 hour week? . If you need to produce an extra 10,000 units in a given week how many extra people will it require? Question: Each sandwich takes 10 minutes to make which means in the 10 hour shift there will be a... Each sandwich takes 10 minutes to make which means in the 10 hour shift there will be a total of 60 sandwiches. The deli wants an efficient way to increase the sandwich output using the same five workers and 10 hour shift (Don't Factor Break in) to produce 75 because of the 25% increase due to the expansion of the deli. What would you do to make the the process more efficient? Where each sandwich would take 8 minutes to make instead of 10 minutes. Please answer the question throughly.
Answers
Extra people required is 50.
Each of the five workers should increase their efficiency to a rate of 15 sandwiches per 10 hour shift.
What is Proportion?Proportions are defined as the concept where two or more ratios are set to be equal to each other.
Question 1 :
Number of associates = 30
Number of direct workers = 30 - 2 = 28
You work 8 hours a day and 5 days a week with two 15 minutes break or 30 minutes break per day.
Direct rate = 150 units per hour
Number of working hours in a week with break = 8 × 5 = 40 hours per week Number of working hours in a week = 7.5 hours per day × 5 days a week
= 37.5 hours per week
Units that department produce in a 40 hour week = 37.5 × 150 = 5625 units
28 people produce 5625 units in a week
Let x people produce 10,000 + 5625 = 15,625 units in a week
Using proportion,
28 : 5625 = x : 15,625
28 / 5625 = x / 15,625
x = (28 × 15,625) / 5625 = 77.78 ≈ 78
Extra people required = 78 - 28 = 50
Question 2 :
Number of sandwiches made in 10 minutes = 1
Number of sandwiches made in 10 hours = 60
5 workers are there. one worker makes 60/5 = 12 sandwiches
But Deli want number of sandwiches in 10 hours = 75
One worker should make 75/5 = 15 sandwiches instead of 12.
Number of sandwiches made in 8 minutes should be 1.
So the working efficiency on each worker should be increased and produce each one should produce 15 sandwiches in a 10 hour shift.
Hence extra people required in question 1 is 50 and efficiency of each worker in question 2 should be increased to 15 sandwiches in 10 hours shift.
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If triangle RST is an acute triangle, then m∠S must be
less than 90°.
equal to 90°.
equal to 100°.
greater than 90° and less than 180°.
Answers
Answer:
less than 90°
Step-by-step explanation:
Acute angles are less than 90°
Answer:
Less than 90 degree
Step-by-step explanation:
Because acute triangles are less than 90 degree.
And an acute triangle only include acute angles, no right angles (equal 90 degree) or obtuse angles (greater that 90 degree and less than 180 degree).
So... the answer is less than 90°! less than 90°! less than 90°! A! A! A!
Cheers! (￣▽￣)～■□～(￣▽￣)
For which values of A, B, and C will Ax + By = C be a horizontal line through the point (4, -9)?
Answers
Answer:
Step-by-step explanation:
no
how do you Multiply fractions? could you explain with a few examples?
Answers
The first step when multiplying fractions is to multiply the two numerators. The second step is to multiply the two denominators. Finally, simplify the new fractions. For example
\(\begin{gathered} \frac{2}{3}\cdot\frac{5}{6}=\frac{2\cdot5}{3\cdot6}=\frac{10}{18} \\ \text{ Now simplify} \\ \frac{10}{18}=\frac{2\cdot5}{2\cdot9}=\frac{5}{9} \\ \text{Then} \\ \frac{2}{3}\cdot\frac{5}{6}=\frac{5}{9} \end{gathered}\)In other words, multiply linearly and simplify
If you have to multiply mixed fractions, first you transform the fraction from mixed to improper and then multiply, for example
\(\begin{gathered} 3\frac{1}{4}\cdot-\frac{8}{5}=\frac{3\cdot4+1}{4}\cdot-\frac{8}{5}=\frac{12+1}{4}\cdot-\frac{8}{5}=\frac{13}{4}\cdot-\frac{8}{5} \\ \text{ Apply the law of signs of the multiplication} \\ 3\frac{1}{4}\cdot-\frac{8}{5}=\frac{13}{4}\cdot-\frac{8}{5}=\frac{13\cdot-8}{4\cdot5}=\frac{-104}{20} \\ \text{Simplify} \\ \frac{-104}{20}=\frac{2\cdot-26}{2\cdot10}=\frac{-26}{10} \\ \text{Then} \\ 3\frac{1}{4}\cdot-\frac{8}{5}=\frac{-26}{10} \end{gathered}\)The law of signs for multiplication is
\(\begin{gathered} +\cdot+=+ \\ +\cdot-=- \\ -\cdot+=- \\ -\cdot-=+ \end{gathered}\)
Multiplying fractions starts with the multiplication of the given numerators, followed by the multiplication of the denominators. ...
Example: Multiply the following fractions: 1/3 × 3/5.
Solution: We start by multiplying the numerators: 1 × 3 = 3, then, multiply the denominators: 3 × 5 = 15.
I'm having trouble with my math and I dont know this equation and I cant find it on here
\( \frac{n}{4} - 1 = 10 \)
Answers
Bobby sells sports videos to local businesses in his area. His daily wage, W, is based on the number of hours he works, H, at the minimum wage of $7.25 per hour, plus $10 to cover gas and lunch expenses. Which equation best describes this relationship?
Answers
Answer:
W = 7.25H - 10
y=2x=1 when x is increased by 5 what is y incresed by
Answers
Answer:
10
Step-by-step explanation:
Do you mean y = 2x + 1?
The slope of the line with equation y = 2x + 1 is 2.
That means that for an increase of 1 in x, y increases 2.
For an increase of 5 in x, y increases 10.
State if the two triangles are congruent. If they are, state the congruence property. If they are not congruent, you do not need to write in the property. 10.Congruent? ___________ If so, what property? ________11.Congruent? ___________ If so, what property? ________
Answers
Answer:
The image for number 10 is shown below as
In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
A teacher purchased 20 calculators and 10 measuring tapes for her class and paid $495. Later, she realized that she didn't order enough supplies. She placed another order of 8 of the same calculators and 1 more of the same measure tape and paid $178.50.The system represents the situation
`20c+10m=495`
`8c+1m=178.50`
Find the cost of one calculator and the cost of one measure tape using one of our methods of solving systems.
Answers
Answer:
Equations are
20c + 10m = 495..............(1)
8c + 1m = 178.5.................(2)
Now , equation (2) * 10 = 80c + 10m = 1785...........(3)
So, Eq. (3) - Eq(1) =
80c + 10m - 20c - 10m = 1785 - 495
60c = 1290
c= 21.5
********************************************************
Now place the value of c in Eq (2)
So , m =6.5
Mark my answer as brainlist answer
Step-by-step explanation:
For which value of m is start fraction 4 over 16 end fraction equals start fraction m over 24 end fraction a proportion?
A. m = 6
B. m = 8
C. m = 12
D. m = 14
I think its C
Answers
Ainsley walks 3/5 mile in 1/3 of a day. Sarah walks 5/8 mile in 2/6 of a day. Who walked farther, Ainsley or Sarah? Find the unit rate for each girl and then tell who you think walked farther with the correct unit rate given below. *
Answers
\(Ainsley \: walked \: in \: \frac{1}{3} \: \: of \: a \: day \ \: = \frac{3}{5} mile\)
\( = \frac{1}{3} \times 24 = \frac{3}{5} \)
\(8 \: hours = \frac{3}{5} \: miles\)
\(Sarah \: walked \: in \: \frac{2}{6} of \: a \: day \: = \frac{5}{8} miles\)
\( \frac{2}{6} \times 24 = \frac{5}{8} \)
\(8 \: hours \: = \frac{5}{8} \: miles\)
Let us see who walked more :
\(Ainsley \: walked \: = \frac{3 \times 8}{40} \)
\( = \frac{24}{40} \: miles\)
\(Sarah \: walked \: = \frac{5 \times 5}{40} \)
\( = \frac{25}{40} \: miles\)
\( \frac{24}{40} < \frac{25}{40} \)
Sarah walked farther than Ainsley .
\( \frac{25}{40} - \frac{24}{40} = \frac{1}{40} \: miles\)
∴ Sarah walked farther than Ainsley by 1/40 miles .
Simplify the following expression.
Answers
or in decimal form: 0.6 repeated
Victoria has $10 in a savings account. The interest rate is 10%, compounded annually. To the nearest cent, how much interest will she earn in 2 years?
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Describe the shape of the distribution.
A. It is symmetric.
B. It is uniform.
C. It is bimodal.
D. It is skewed.
Answers
2. Luis drives 35 miles per hour. How many miles does he drive per minute? (Round your answer to the nearest tenth of a mile)
Answers
Luis drives 35 miles per hour. There are 60 minutes in 1 hour.
That means he drives 35 miles per 60 minutes.
Therefore;
\(\begin{gathered} \text{Miles per minute=}\frac{35}{60} \\ \text{Miles per minute=}0.5833\ldots \\ \text{Miles per minute}\approx0.6 \\ \text{Therefore, Luis drove for 0.6 miles per minute} \end{gathered}\)Answer:
See below
Step-by-step explanation:
35 mi/hr * 1 hr / 60 min = 35/60 mi/min = .583 mi/min = ~ .6 mi/min
help me with this question
Answers
Answer:
37.2
Step-by-step explanation:
when you turn the small triangle LMN to its right angle to cover the right angle of KLM, you find that they are similar triangles.
therefore the corresponding side lengths are at the same ratio.
LM/KM = MN/LN
LM = 24
MN = 13
we can get LN via Pythagoras of the small triangle
LN² + MN² = LM²
LN² + 13² = 24²
LN² = 24² - 13² = 576 - 169 = 407
LN = sqrt(407) = 20.174241
now back to our main problem
24/KM = 13/sqrt(407)
24×sqrt(407)/13 = KM = 37.2
Which ordered pair is a solution to the equation?
-4x + 7 = 2y - 3
Choose 1 answer:
A Only (2, 1)
B Only (5, -5)
C Both (2, 1) and (5,-5)
D Neither
Answers
Answer: Neither (5/2, 0)
Step-by-step explanation:
-4x + 7 = 2y - 3
+3 +3
2y = -4x + 10
(Divide both sides by 2)
y = -2x +5
—————————————————
-4x + 7 = 2(-4x + 10) - 3
-4x + 7 = -8x + 20 - 3
-4x + 7 = -8x + 17
+8x -7 +8x -7
8x - 4x = 17 - 7
4x = 10
(Divide both sides by 4)
x = 5/2
—————————————
y = -2(5/2) + 5
y = -5 + 5
y = 0
——————————
Check Work:
-4x + 7 = 2y - 3
-4(5/2) + 7 = 2(0) -3
-10 + 7 = 0 - 3
-3 = -3 ✔️
A solution to the equation graphed below can be expressed using the following phrase: if x = n, then y = 6.
y
8
642
2
ON 4
0
-8-6-4-2.
-222 2468
-6
-8
What is the approximate value of n?
Answers
Finding the slope and y-intercept is necessary to write the equation of a graphed line in y-intercept (y=mx+b) form, which can then be used to determine the equation of the line. The slope is the ratio of the y-to-x change.
How are graph equations created?Writing the equation in the form y = mx + b will allow you to find the slope m and the y-intercept, which will allow you to graph the equation (0, b). Plot the y-intercept next. 3) Depending on whether the slope is positive or negative, go up, down, or left or right from the y-intercept.
What is an equation, exactly?When two expressions are joined by an equal sign, a mathematical statement is called an equation.
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the following data are the distances from the workplace (in miles) for the 6 employees of a small business. 4, 20, 3, 4, 2, 3 assuming that these distances constitute an entire population, find the standard deviation of the population. round your answer to two decimal places.
Answers
To find the standard deviation of a population, we can use the following formula:
σ = √((Σ(x - μ)²) / N)
Where:
- σ is the standard deviation
- Σ represents the sum of all the values
- x represents each individual value in the population
- μ is the mean of the population
- N is the total number of values in the population
First, we need to find the mean of the population. We sum up all the distances and divide by the total number of employees:
Mean (μ) = (4 + 20 + 3 + 4 + 2 + 3) / 6 = 36 / 6 = 6
Now, we can calculate the squared difference between each distance and the mean, and sum them up:
Σ(x - μ)² = (4 - 6)² + (20 - 6)² + (3 - 6)² + (4 - 6)² + (2 - 6)² + (3 - 6)²
= (-2)² + 14² + (-3)² + (-2)² + (-4)² + (-3)²
= 4 + 196 + 9 + 4 + 16 + 9
= 238
Next, we divide the sum by the total number of values:
σ = √(238 / 6) = √39.67
Rounding the answer to two decimal places, the standard deviation of the population is approximately 6.29 miles.
We used the formula for standard deviation to find the variability in the distances from the workplace for the 6 employees. We first calculated the mean of the population by summing up all the distances and dividing by the total number of employees. Then, we found the squared difference between each distance and the mean, and summed them up. Finally, we divided the sum by the total number of values and took the square root to get the standard deviation. The result is approximately 6.29 miles.
The standard deviation of the population, representing the variability in distances from the workplace for the 6 employees, is approximately 6.29 miles.
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Your mixing blue paint and yellow paint to get a total of 28 gallons. You want to use 7 times yellow paint as blue. How many gallons of each should you use ?
Answers
Answer:
B = Blue paint = 3.5 gallons
Y= Yellow paint = 24.5 gallons
Step-by-step explanation:
Let B = Blue paint
Y= Yellow paint
Your mixing blue paint and yellow paint to get a total of 28 gallons.
B + Y = 28 gallons
You want to use 7 times yellow paint as blue.
This means, 7B = Y
How many gallons of each should you use ?
Hence,
B + Y = 28
B + 7B = 28
8B = 28
B = 28/8
B = 3.5 gallons
B + Y = 28 gallons
Y + 3.5 gallons = 28 gallons
Y = 28 gallons - 3.5 gallons
Y = 24.5 gallons
B = Blue paint = 3.5 gallons
Y= Yellow paint = 24.5 gallons
Find the slope of the line show in the graph below!!!! Pls
Answers
Answer:
2/3
Step-by-step explanation:
1. A triangular garden is being formed with stones. The three sides measure 4 meters
by 6 meters by 7 meters. Which of the following is a true statement about the side
lengths of the triangle?
A The side lengths will nptform a triangle because 6 + 4 > 7
B. The side lengths will form a triangle because 4 + 6+ 7
C. The side lengths will not form a triangle because 7 + 4 < 6
D. The side lengths will form a triangle because 6 + 7 > 4
Answers
Answer:
The side lengths will form a triangle because 6+4 > 7
Step-by-step explanation:
For side lengths, the two smallest sides (ex. 6 and 4) must have a greater sum than then highest side length. Since 6+4 is greater than 7, it creates a triange. If it would have been 5+2 it would not have worked because it needs to be greater than, not less than or equal to.
the ratio of children to adults on a school trip is initially 10:1 this does not meet government regulations, so 5 more children and 5 more adults join the trip so that the ratio is now 9:1 how many children are there now
Answers
The number of children are there in the given scenario are 400.
Given that, the ratio of children to adults on a school trip is initially 10:1.
Here, the given ratio can be written as 10x:1x
5 more children and 5 more adults join the trip so that the ratio is now 9:1
10x+5:1x+5
The new ratio is (10x+5)/(x+5) = 9/1
10x+5=9(x+5)
10x+5=9x+45
10x-9x=45-5
x=40
So, the number of children =10x=400
Therefore, the number of children are there in the given scenario are 400.
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Need help with this is geometry
Answers
The length of the radius AB is 6 units.
How to find the length of an arc?The angle ∠BAC is 90 degrees. The length of arc BC is 3π. The length of
radius AB can be found as follows:
Hence,
length of arc = ∅ / 360 × 2πr
where
r = radius∅ = central angleTherefore,
length of arc = 90 / 360 × 2πr
3π = 1 / 4 × 2πr
cross multiply
12π = 2πr
divide both sides by 2π
r = 6 units
Therefore,
radius AB = 6 units
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(x^3y^n/z^m+1)^k
HELP
Answers
Answer:
ayo i need sum points
Step-by-step explanation:
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