12. Is the following statement with
variability or without variability?
"The number of students in the
cafeteria at 12:30 on Monday."
Answers
Variable type: without variability, discrete.
How to determine variability in data?The statement "The number of students in the cafeteria at 12:30 on Monday" is an example of a quantitative variable without variability. This is because the statement refers to a specific point in time, and there is no opportunity for variation in the number of students present in the cafeteria.
Quantitative variables can be either continuous or discrete. Continuous variables can take on any value within a range, while discrete variables can only take on specific values. In this case, the variable is discrete because the number of students is a countable quantity that can only take on specific whole number values.
Understanding the difference between variables with and without variability is important in statistics as it helps us to better interpret and analyze data.
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Related Questions
What is the ratio of the median weekly earnings of the holder of a high school diploma only to the median weekly earnings of the holder of a bachelor's degree?
Answers
The ratio of the median weekly earnings of the holder of a high school diploma only to the median weekly earnings of the holder of a bachelor's degree is approximately 0.67.
The median weekly earnings of the holder of a high school diploma only is approximately 0.67 times the median weekly earnings of the holder of a bachelor's degree. According to the Bureau of Labor Statistics in 2020, the median weekly earnings of a person with a high school diploma only was $712, while the median weekly earnings of a person with a bachelor's degree was $1,062. This indicates that the median weekly earnings of the holder of a high school diploma only is about two-thirds of the median weekly earnings of the holder of a bachelor's degree. This large discrepancy in earnings highlights the importance of higher education in ensuring a more secure and higher paying job.
$712 (High School Diploma) / $1,062 (Bachelor's Degree) = 0.67
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Find the volume of A cube with sides of length 13 meters.
Answers
Answer:
V=2197
Step-by-step explanation:
Princeton Review We are examining an advertising flyer for the Princeton Review, a review course designed for high school students taking the SAT tests. The flyer claimed that the average score improvements for students who have taken the Princeton Review course is between 110 and 160 points. Are the claims made by the Princeton Review advertisers exaggerated? That is, is the average score improvement less than 110, the minimum claimed in the advertising flyer? A random sample of 100 students who took the Princeton Review course achieved an average score improvement of 107 points with a standard deviation of 13 points.
a. State H_0 and H_a.
b. Use the p-value approach to test the Princeton Review claim. At which significance levels can you reject H_0? Interpret the p-value in the context of this problem. c. Use the critical value approach to test the Princeton Review claim at alpha = 0.1.
d. Calculate an appropriate confidence interval (two sided or one sided) and explain how it can be used to test the hypotheses.
e. If you were a competitor of the Princeton Review, how would you state your conclusions to put your company in the best possible light?
f. If you worked for the Princeton Review, how would you state your conclusions to protect your company's reputation?
Answers
The claims made by the Princeton Review advertisers regarding the average score improvement may be exaggerated.
a. H_0: The average score improvement for students who took the Princeton Review course is 110 points.
H_a: The average score improvement for students who took the Princeton Review course is less than 110 points.
b. To test the claim using the p-value approach, we calculate the test statistic and find the corresponding p-value. The sample mean score improvement is 107 points, and the standard deviation is 13 points. We can use a one-sample t-test to compare the sample mean to the claimed average improvement of 110 points. The p-value represents the probability of obtaining a sample mean as extreme as or more extreme than the observed mean if the null hypothesis is true. If the p-value is smaller than the significance level, we can reject the null hypothesis. In this case, we calculate the p-value and compare it to various significance levels (e.g., 0.01, 0.05, and 0.10) to determine at which levels we can reject H_0.
c. Using the critical value approach, we compare the test statistic (calculated as (sample mean - claimed mean) / (standard deviation / √n)) to the critical value corresponding to the chosen significance level (alpha). If the test statistic is more extreme than the critical value, we reject H_0. For alpha = 0.1, we find the critical value from the t-distribution and compare it to the test statistic to determine if we can reject the null hypothesis.
d. To calculate an appropriate confidence interval, we can use a one-sided confidence interval to test the hypotheses. The confidence interval can be constructed to estimate the true average score improvement with a specified level of confidence. If the interval does not include the claimed minimum improvement of 110 points, it would provide evidence against the Princeton Review's claim.
e. As a competitor, the conclusion could be stated as follows: "Our company's review course provides a significant average score improvement for high school students taking the SAT tests, with a proven result higher than the claimed minimum improvement by the Princeton Review."
f. As a representative of the Princeton Review, the conclusion could be stated as follows: "Our review course demonstrates a strong average score improvement for high school students taking the SAT tests. While the observed mean improvement in this particular sample was slightly below the claimed minimum, it is important to consider the overall effectiveness and impact of our course, which has proven success in helping students achieve significant score improvements."
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Represent each of the following sequences as functions. In each case, state a domain, codomain, and rule for determining the outputs of the function. Also, determine if any of the sequences are equal.
(a) 1,14,19,116,…
(b) 13,19,127,181,…
(c) 1,−1,1,−1,1,−1,…
(d)cos(0),cos(π),cos(2π),cos(3π),cos(4π),…
Answers
The sequence cos(0),cos(π),cos(2π),cos(3π),cos(4π),… can be represented as a function k: N -> R, where N is the set of natural numbers and R is the set of real numbers. The domain of the function is the set of natural numbers, and the codomain is the set of real numbers. The function l: N -> {-1,1}, where l(n) = (-1)^(n).
The sequence 1,14,19,116,… can be represented as a function f: N -> N, where N is the set of natural numbers. The rule for determining the outputs of the function is as follows: f(1) = 1, f(2) = 14, f(3) = 19, f(4) = 116, and so on.
The sequence 13,19,127,181,… can be represented as a function g: N -> N, where N is the set of natural numbers. The rule for determining the outputs of the function is as follows: g(1) = 13, g(2) = 19, g(3) = 127, g(4) = 181, and so on. The domain of the function is the set of natural numbers, and the codomain is also the set of natural numbers. We can see that this sequence is not equal to any of the other sequences given.
The sequence 1,−1,1,−1,1,−1,… can be represented as a function h: N -> {-1,1}, where N is the set of natural numbers. The rule for determining the outputs of the function is as follows: h(1) = 1, h(2) = -1, h(3) = 1, h(4) = -1, and so on. The domain of the function is the set of natural numbers, and the codomain is the set {-1,1}. We can see that this sequence is equal to the function f: N -> {-1,1}, where f(n) = (-1)^(n+1).
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g(x)=8x^3+1 Find the difference quotient
Answers
The different quotient for f(x)=8x³+1 is 8(-x³+(h+x)³)/h.
What is a quotient?In mathematics, a quantity created by the division of two numbers is known as a quotient (from the Latin quotiens, meaning "how many times"; pronunciation: /kwont/). The term "quotient" is used frequently in mathematics and is used to describe the integer component of a division (in the case of Euclidean division), as well as a fraction or a ratio (in the case of proper division). As an illustration, the quotient of the division of 20 (the dividend) by 3 (the divisor) is in the Euclidean sense of remaining and 6 2/3 in the appropriate division sense. In the second definition, a quotient consists just of the dividend to divisor ratio.it is given that, g(x)=8x³+1
The difference quotient is given by f(x+h)-f(x)/h
to find f(x+h), put x+h instead of x:
then, f(x+h)=8(x+h)³+1
finally, = f(x+h)-f(x)/h
=(8(x+h)³+1))-(8x³+1)/h
=8(-x³+(h+x)³)/h
Hence, The different quotient for f(x)=8x³+1 is 8(-x³+(h+x)³)/h.
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Make a table of values and a graph for the functionWhat is the domain?What is the range?
Answers
Answer and Explanation:
Given:
\(f(x)=(0.2)^x-3\)Let's go ahead and chose different values of x and corresponding values of y;
When x = -2;
\(\begin{gathered} f(-2)=(0.2)^{-2}-3 \\ =25-3 \\ =22 \end{gathered}\)When x = -1;
\(\begin{gathered} f(-2)=(0.2)^{-1}-3 \\ =5-3 \\ =2 \end{gathered}\)When x = 0;
\(\begin{gathered} f(0)=(0.2)^0-3 \\ =1-3 \\ =-2 \end{gathered}\)When x = 1;
\(\begin{gathered} f(1)=(0.2)^1-3 \\ =0.2-3 \\ =-2.8 \end{gathered}\)When x = 5;
\(\begin{gathered} f(5)=(0.2)^5-3 \\ =0.00032-3 \\ =-2.99 \end{gathered}\)With the above values, we can go ahead and graph the function as seen below;
The domain of a function is the set of possible input values(x-values) for which the function is defined. On a graph, it is the set of x-values from left to right.
Looking at the given graph, we can see that the domain is;
\(Domain:(-\infty,\infty)\)The range of a function is the set of possible output values(y-values). It is the set of y-values from the bottom to the top of the graph.
Looking at the given graph, we can see that the range is;
\(Range:(-3,\infty)\)
Charlie paid y dollars for a cheeseburger and $2.50 for fries. The
tax in her town is 2%. How much did Charlie pay for her food all
together including tox?
Answers
$2.55
what is the mean of the numbers??
Answers
(11x - 1)
(20x – 3)
151°
Answers
Answer:
x= 1.6 degrees
Step-by-step explanation:
to find the missing angle 180 degrees - 151 degrees
29° is the missing angle at the bottom ryt of the triangle.
all angles in triangle add upto 180°
so, 20x-3°+11x-1°+29°= 180°
31x=180°-25°
x= 1.6°
A polygon with three edges and three vertices is called a triangle.
x=1.6° is its value.
Explain about the triangle?Based on the lengths of its sides, triangles can be categorized into one of three groups: Scalene. Isosceles. Equilateral.
The trigon, a 3-sided polygon, is sometimes (though not often) referred to as a triangle. Every triangle has three sides and three angles, some of which might be the same.
The triangle's angles are created by joining its three sides end to end at a single point. The sum of the three angles of the triangle is 180degrees.
To identify the omitted angle between 180 and 151 degrees
The triangle's bottom right corner lacks a 29° angle.
triangle's angles sum up to 180°
so, 20x-3°+11x-1°+29°= 180°
31x=180°-25°
x =1.6 degree
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A confound in an A/B test is likely to result in
Misattribution of another factor to the treatment
An increase in the power of the test
An incorrect conclusion about the direction of the treatment impact
A and C only
None of the above
Answers
A confound in an A/B test is likely to result in misattribution of another factor to the treatment and an incorrect conclusion about the direction of the treatment impact. Hence, option D: A and C only is the correct answer.
Confounds are external factors or variables that may affect the results of a research study and their results. They can lead to inaccurate conclusions about a study's findings.A/B testing (also known as split testing) is an experimental design that measures the impact of changes made to a web page or mobile app.
The goal of A/B testing is to compare two different versions of a website or mobile app. One of the versions is the control version, while the other is the treatment version.Therefore, to avoid a confound in an A/B test, the study must have a strong control group, and all variables and factors other than the one being tested must be kept constant.
That way, any differences observed between the control group and treatment group can be attributed to the treatment and not other external factors. A/B tests without proper controls may lead to confounding variables that can negatively affect the test results.
In conclusion, confounds in an A/B test are likely to result in misattribution of another factor to the treatment and an incorrect conclusion about the direction of the treatment impact.
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Can someone give me a clear answer? I'll give or try to give 100 points... The crown is yours after.
Part A: Given the function g(x) = |x + 3|, describe the graph of the function, including the vertex, domain, and range. (5 points)
Part B: If the parent function f(x) = |x| is transformed to h(x) = |x| − 2, what transformation occurs from f(x) to h(x)? How are the vertex and range of h(x) affected?
Answers
The required solutions are as follows,
(a) Vertex, domain, and range of the given function is (0,3), the domain is all real numbers and the range is all real value greater than +3 respectively.
(b) The trasformation shifts the f(x) two units below and vertex and range are (0, -2) and all real values greater and equal to -2 respectively.
here,
(A)
f(x) = |x - 3|
put x= 0
f(x) = 3
So the vertex is (0, 3)
Absolute functions has a domain of all real numbers, while the range of the given function is from positive 3 to infinity because the minimum value of the function is 3.
Similarly
(b)
f(x) = |x|
Vertex = (0, 0)
For the trasformation,
f(x) = |x|-2
Vertex = {0, -2}
Range = f(x) > -2
Thus, The required solutions are as mentioned above,
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Dawn is having a party. She wants to make punch and the recipe calls for 4 pints of orange juice, 5 cups of apple juice, 1/2 gallon of lemonade, and 2 quarts of pineapple juice. When she mixes this altogether, how many gallons of punch did Dawn make?
Answers
Answer:
1 13/16 gallons
1.8125 gallons
Step-by-step explanation:
convert the measures that are not in gallons to gallon
1 pint = 1/8 gallon
4 x 1/8 = 1/2
1 cup =1/16 gallon
5 x 1/16 = 5/16
0.3125
1 quart = 1/4
1/4 x 2 = 1/2
Add these figures togehter
1/2 + 5/16 + 1/2 + 1/2 = 29 / 16 = 1 13/16 gallons
8+5x= -2
Solve equation.
Answers
Divide by 5: x=-2
The perimeter of a square is 8cm. what is the area?
Answers
Answer:
4
Step-by-step explanation:
perimeter=4a
8/4=a
a=2
area=a square
=2*2
=4
hope so this will help you
Step-by-step explanation:
given,
perimeter (p)=8cm
or, 4 l =8cm
or, l =8/4
therefore l =2cm
now area of square =l^2
=(2cm)^2
therefore l= 4 cm^2.....is ans wer..
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mathadvanced mathadvanced math questions and answersuse the laplace transform to solve the following initial value problem: x' = 11x + 2y, y = −9x + e²t x(0) = 0, y(0) = 0 let x(s) = l{x(t)}, and y(s) = l{y(t)}. find the expressions you obtain by taking the laplace transform of both differential equations and solving for y(s) and x(s): x(s) = y(s) = find the partial fraction decomposition of x(s) and y(s) and
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Question: Use The Laplace Transform To Solve The Following Initial Value Problem: X' = 11x + 2y, Y = −9x + E²T X(0) = 0, Y(0) = 0 Let X(S) = L{X(T)}, And Y(S) = L{Y(T)}. Find The Expressions You Obtain By Taking The Laplace Transform Of Both Differential Equations And Solving For Y(S) And X(S): X(S) = Y(S) = Find The Partial Fraction Decomposition Of X(S) And Y(S) And
Use the Laplace transform to solve the following initial value problem:
x = 11x + 2y, y = −9x + e²t
x(0) = 0, y(0) = 0
Let XConsider the initial value problem
y +49y = cos(7t), y(0)=3, y(0) = 2.
a. Take the Laplace transform of both sides of the gi
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Transcribed image text: Use the Laplace transform to solve the following initial value problem: x' = 11x + 2y, y = −9x + e²t x(0) = 0, y(0) = 0 Let X(s) = L{x(t)}, and Y(s) = L{y(t)}. Find the expressions you obtain by taking the Laplace transform of both differential equations and solving for Y(s) and X(s): X(s) = Y(s) = Find the partial fraction decomposition of X(s) and Y(s) and their inverse Laplace transforms to find the solution of the system of DES: x(t) y(t) Consider the initial value problem y' +49y = cos(7t), y(0)=3, y(0) = 2. a. Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transform of y(t) by Y (s). Do not move any terms from one side of the equation to the other (until you get to part (b) below). help (formulas) b. Solve your equation for y(s). Y(s) = L{y(t)} = c. Take the inverse Laplace transform of both sides of the previous equation to solve for y(t). y(t)
Answers
The Laplace transform to the given initial value problem, the Laplace transforms of x(t) and y(t), solve for X(s) and Y(s), perform partial fraction decomposition, and then determine the inverse Laplace transforms to obtain the solutions x(t) and y(t).
To solve the initial value problem using the Laplace transform, we first take the Laplace transform of the given differential equations and apply the initial conditions to find the Laplace transforms of x(t) and y(t). Then, we solve the resulting algebraic equations to obtain X(s) and Y(s). Next, we perform partial fraction decomposition on X(s) and Y(s) to express them in a simpler form.
After obtaining the partial fraction decomposition, we can take the inverse Laplace transforms of the decomposed expressions to find the solutions x(t) and y(t). The inverse Laplace transforms involve finding the inverse transforms of each term in the partial fraction decomposition and combining them to obtain the final solution.
In conclusion, by applying the Laplace transform to the given initial value problem, we can find the Laplace transforms of x(t) and y(t), solve for X(s) and Y(s), perform partial fraction decomposition, and then determine the inverse Laplace transforms to obtain the solutions x(t) and y(t).
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you lean a 13 foot ladder on your house so that it reaches the roof. if the bottom of the ladder is 5 feet away form the house, how tall is the house?
Answers
The height of the building is 12 feet.
What is the height of the building?Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.
It is expressed as;
c² = a² + b²
Given that:
Length of the ladder (hypotenuse) = 13 feet
Distance of the ladder's bottom from the house (base) = 5 feet
Let's denote the height of the house (vertical side) as 'b'.
Using the Pythagorean theorem, we have:
13² = 5² + b²
b² = 13² - 5²
b² = 169 - 25
b² = 144
Taking the square root of both sides:
b = √144
b = 12
Therefore, the value of b is 12 feets.
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You and your bestfriend are both on the swim team. You want to beat your bestfriend at the next swim meet so you decide to swim 15 minutes longer than she does on day at practice write an equation for the number of minutes you swim,y, when you bestfriend swims x number of minutes
Answers
Answer:
y = x + 15
Step-by-step explanation:
You swim 15 minutes more than a friend.The friend swims x minutes.
The amount of time you swim is 15 more than x.
Your time is y
Therefore y = x + 15 would be the equation.
Black Diamond Company produces snowboards. Each snowboard requires 2 pounds of carbon fiber. Management reports that 7,000 snowboards and 8,000 pounds of carbon fiber are in inventory at the beginning of the third quarter, and that 170,000 snowboards are budgeted to be sold during the third quarter. Management wants to end the third quarter with 5,500 snowboards and 6,000 pounds of carbon fiber in inventory. Carbon fiber costs $19 per pound. Each snowboard requires 0.5 hour of direct labor at $24 per hour. Variable overhead is budgeted at the rate of $14 per direct labor hour. The company budgets fixed overhead of $1,802,000 for the quarter. Required: 1. Prepare the production budget for the third quarter. Hint: Desired ending inventory units are given. BLACK DIAMOND COMPANY Production Budget (in units) Third Quarter Budgeted sales units Add: Desired ending inventory units Total required units Less: Beginning inventory units Units to produce 170,000 5,500 175,500 7,000 168,500 2. Prepare the direct materials budget for the third quarter. BLACK DIAMOND COMPANY Direct Materials Budget Third Quarter Units to produce Materials needed for production (pounds) Total materials required (pounds) Materials to purchase (pounds) + Cost of direct materials purchases 3. Prepare the direct labor budget for the third quarter. BLACK DIAMOND COMPANY Direct Labor Budget Third Quarter Units to produce Direct labor hours needed Cost of direct labor 4. Prepare the factory overhead budget for the third quarter. BLACK DIAMOND COMPANY Factory Overhead Budget Third Quarter Direct labor hours needed Budgeted variable overhead Budgeted total factory overhead
Answers
Production: 168,500 units.
Direct materials: 337,000 pounds.
Direct labor: Calculated based on units produced.
Factory overhead: Calculated based on direct labor hours.
1. Production Budget for the Third Quarter:
BLACK DIAMOND COMPANY Production Budget (in units) Third Quarter
Budgeted sales units: 170,000
Add: Desired ending inventory units: 5,500
Total required units: 175,500
Less: Beginning inventory units: 7,000
Units to produce: 168,500
2. Direct Materials Budget for the Third Quarter:
BLACK DIAMOND COMPANY Direct Materials Budget Third Quarter
Units to produce: 168,500
Materials needed for production (pounds): 2 pounds per snowboard
Total materials required (pounds): 337,000 pounds
Materials to purchase (pounds): Total materials required - Beginning inventory pounds - Desired ending inventory pounds
3. Direct Labor Budget for the Third Quarter:
BLACK DIAMOND COMPANY Direct Labor Budget Third Quarter
Units to produce: 168,500
Direct labor hours needed: 0.5 hour per snowboard
Cost of direct labor: Direct labor hours needed * Direct labor rate
4. Factory Overhead Budget for the Third Quarter:
BLACK DIAMOND COMPANY Factory Overhead Budget Third Quarter
Direct labor hours needed: Calculated from the direct labor budget
Budgeted variable overhead: Direct labor hours needed * Variable overhead rate
Budgeted total factory overhead: Budgeted fixed overhead + Budgeted variable overhead
Note: The specific rates for direct materials, direct labor, and variable overhead were not provided in the given information and would need to be included in the calculations based on the company's specific cost structure.
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The casino game of chuck-a-luck seems quite simple and that it would be a pretty good bet. In this game, three dice are rolled (usually inside a wire cage). You can bet a set amount, let's say $5, on a specific number 1-6. You win the amount of your bet for each appearance of your number on the dice. If the number does not appear, you lose your bet. For example, let's say you bet $5 on the number 3. If it appears on exactly one die, you win $5 (and keep your bet) with probability 75/216. If it appears on exactly two dice, you win $10 (and keep your bet) with probability 15/216. If it appears on all three dice, you win $15 (and keep your bet) with probability 1/216. If it appears on none of the dice, you lose your original $5 bet. Construct the probability distribution for chuck-a-luck and determine your expected winnings on a $5 bet.
Answers
The expected winnings on a $5 bet are -0.1157 dollars. This means that on average, you will lose about 11.57 cents for each $5 bet you make.
Therefore, the game is not a good bet, as you are expected to lose money in the long run.
What is the probability distribution?
A probability distribution is a mathematical function that describes the probability of different possible values of a variable.
The probability of winning on a $5 bet on a specific number in chuck-a-luck is determined by the number of ways that the number can appear on the three dice and the total number of possible outcomes.
If the number appears on exactly one die, there are 3 ways that this can happen out of a total of 6^3 = 216 possible outcomes, giving a probability of 3/216 or 1/72.
If the number appears on exactly two dice, there are 3 ways to choose the two dice on which it appears, and 3 ways to choose the third die, giving a total of 33 = 9 ways out of 216 possible outcomes, giving a probability of 9/216 or 1/24.
If the number appears on all three dice, there is only 1 way this can happen out of 216 possible outcomes, giving a probability of 1/216.
If it appears on none of the dice, there are (543) ways this can happen, giving a probability of (54*3)/216 = 20/216.
We can use this information to construct the probability distribution for chuck-a-luck:
x P(x)
-5 (losing the bet) 20/216
5 (winning the bet for one appearance) 1/72
10 (winning the bet for two appearances) 1/24
15 (winning the bet for three appearances) 1/216
To find the expected winnings on a $5 bet, we can multiply the value of each outcome by its corresponding probability, and sum the results:
E(X) = (-5)(20/216) + (5)(1/72) + (10)(1/24) + (15)(1/216)
E(X) = -5/43.2 + 5/72 + 5/12 + 15/216
E(X) = -0.1157
Hence, the expected winnings on a $5 bet are -0.1157 dollars. This means that on average, you will lose about 11.57 cents for each $5 bet you make.
Therefore, the game is not a good bet, as you are expected to lose money in the long run.
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4(x + 2) = 4x + 2
Are these two Equivalent
Answers
Answer:
no they're not
Step-by-step explanation:
4(x+2) = 4x +8
4x+2= 4x+2
Answer:
No they are not equivalent
First we would have to solve 4(x+2)
In order to solve this we need to multiply. So 4×X is equal to 4x. 4×2=8 Therefore when solving Its 4x+8..and 4x+8 is not equivalent to 4x+2
What can we say about the relationship between the correlation r and the slope m of the least-squares line for the same set of data?(Note: In the activities that are just about lines, the slope is written using the letter m in y=mx+b. The readings use the letter b for the slope in y = a + b*x. These slopes are the same slope—it's just whatever is multiplied by x is the slope, and represents the change in y for each 1-unit change in x—but in different contexts people usee different letters in the general form of the equation of a line.)Group of answer choicesr and m have the same sign (+ or −).Both r and m always have values between −1 and 1.The slope m is always equal to the square of the correlation r. m is always larger than r.m is always larger than r.r is always larger than m.
Answers
The correlation and the slope always have the same sign (+ or −), meaning that if the correlation is positive, the slope will also be positive and vice versa.
The slope and the correlation are two important measures in statistics. The slope of a line represents the change in the dependent variable (y) for every 1 unit change in the independent variable (x).
In the case of the least-squares line, the slope (m) and the correlation (r) have a relationship.
It is important to note that the slope of the line is always equal to the correlation times the ratio of the standard deviation of the dependent variable to the standard deviation of the independent variable.
This can be represented mathematically as:
=> m = r * (SDy/SDx).
Therefore, the correlation (r) always has a value between −1 and 1, indicating the strength of the relationship between the variables. If r is close to 1, the relationship between the variables is strong and positive.
On the other hand, if r is close to −1, the relationship between the variables is strong and negative.
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Graph of line y=3x+2
Answers
Answer:
A
Step-by-step explanation:
I believe the left number is from the x axis and the right number is from the y axis
William spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -12.2°F. Between 9am and noon, the temperature rose 16.2°F. Between noon and 3pm, the temperature dropped 9.1°F. Between 3pm and 6pm, the temperature dropped 5°F. What was the temperature at 6pm?
Answers
If William spends a winter day recording the temperature once every three hours for science class. If the temperature dropped 9.1°F. Between 3pm and 6pm, the temperature dropped 5°F. The temperature at 6pm is: -11.1°F
How to find the temperature?Between 9am and noon, the temperature rose 16.2°F, so the temperature at noon will be:
Temperature at noon = -12.2 + 16.2
Temperature at noon = 3.0°F
Between noon and 3pm, the temperature dropped 9.1°F, so the temperature at 3pm will be:
Temperature at 3pm = 3.0 - 9.1
Temperature at 3pm = -6.1°F
Between 3pm and 6pm, the temperature dropped 5°F, so the temperature at 6pm was:
Temperature at 6pm =-6.1 - 5
Temperature at 6pm = -11.1°F
Therefore the temperature at 6pm is -11.1°F.
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PLZ Help
Simplify the given equation.
17x - 6 + 3x - 5 = x + 11 + 4x
A. 9x = 16x
B. 20x + 1 = 5x + 11
C. 20x - 11 = 5x + 11
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Answer:
B.20x + = 5x + 11
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Write a rule to describe this translation. (photo attached)
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The rule for given translation is (x,y)→(x + 3, y - 4).
What is Transformation?In mathematics, the phrases translation, rotation, and reflection are all used to describe the change of forms. This refers to a form moving beyond a mirror line or a fixed point. While being translated, rotated, or reflected, the shape doesn't change. The constant rotation of a shape around a fixed point or across the mirror line is known as translation. Rotation defines the way a form moves about a central axis. Shapes can be rotated by a specific number of degrees either clockwise or counterclockwise.
The rule for translation of given figure will be,
We need to move x for 3 units to left and y for 4 units downwards to get the translation, so the rule is:
(x,y)→(x + 3, y - 4).
Therefore, the rule for given translation is (x,y)→(x + 3, y - 4).
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Monica has a triangular piece of fabric. The height of the triangle is 19 inches and the triangle's base is 18 inches. Monica says that the area of the fabric is 342 in2. What error did Monica make? Explain your answer by entering the correct area of the fabric
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If three pounds of apples cost $5.25, how much will 10 pounds cost?
show work!!!!
please help
Answers
Answer:
10 pounds will cost $17.50
Step-by-step explanation:
(5.25 / 3) * 10 = x
1.75 * 10 = x
17.50 = x
Answer:
10 pounds of apples will cost $17.50.
Step-by-step explanation:
First, we need to find the unit rate.
$5.25/3 = $1.75
Now we need to multiply $1.75 by 10 pounds.
$1.75 × 10 = $17.50
josh markets buys bicycles for $38 and sells them for $95. What is the percent of increase in the price?
Answers
Answer:
150%
Step-by-step explanation:
(95 - 38)/38 x 100
57/38 x 100
1.5 x 100 =
150 percentage change
Hope this helps :)
Round to the nearest tens
1,235
Answers
Answer:
1,240
Step-by-step explanation:
If the number in the ones place is lower than 5 you round down. If the number in the ones place is 5 or higher you round up.
Hope This Helps :)
Answer:
1,240
Step-by-step explanation:
If the number before what you are rounding to is 5 or greater, then you need to round up. If the number before what you are rounding to is less than 5, then you round down.
what’s an example of the sun of two absolute values
Answers
Answer: See equation
Step-by-step explanation:
Absolute value basically means the positive value of anything
Essentially, the absolute value of a negative number is the same number but positive, and the absolute value of a positive number is itself.
|-6|+|-10|=16
|number| is usually used to signify absolute value