(-4/9)-3/4(2 1/3) equals??
Answers
Answer:
-2.1944444444
Step-by-step explanation:
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Emma bought a sweater that was 20% off. She paid $36 for the sweater, What was the original cost of the sweater?
Please hurry!
Answers
Answer:
$45
Step-by-step explanation:
let's work backwards. We know that it was 20% off, or otherwise 80% of the original cost. Let's represent the original cost with x:
0.8x = 36
Now we solve for x by dividing both sides by 0.8:
x = 45
Thus, the sweater was originally $45
Answer:
i hope i helped i wasnt sure how to answer
Step-by-step explanation:
∫(1 to [infinity]) xe^-x2 dx is
A -1/e
B 1/2e
C 1/e
D 2/e
E divergent
Answers
The integral ˆ«(1 to [infinity]) xe^-x2 dx, is E) divergent, that is, an indefinite integral with an upper limit of infinity.
How do we evaluate the indefinite integral?Let's use the following steps to evaluate indefinite integral:
ˆ«(1 to [infinity]) xe^-x2 dx
We can start by making a substitution to simplify the integral.
We substitute u = -x^2, du = -2x dx. When x approaches infinity, u approaches negative infinity, and when x is 1, u is -1.
Now we can rewrite the integral with the substitution:
ˆ«(-1 to -infinity) e^(u/2) du
Next, we can use the limit property of integrals to evaluate the integral as u approaches negative infinity:
lim[u->-infinity] ˆ«(-1 to u) e^(u/2) du
As u approaches negative infinity, e^(u/2) approaches zero, so the integral becomes zero or the integral converges to zero.
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the question is in the picture
Answers
Answer:
\(5^2 = 25\)\(5^{-2}\) = \(\frac{1}{25}\)\((-5)^{2} = 25\) \(-5^{2} =-25\)Solution:
We know the following rules:
Rule: If an exponent is negative, it will be in the fraction 1/nˣ.Rule: If an exponent is positive, it will be in whole number form and will multiply itself m times.Rule: if a number's exponent is 0, then the number is 1.Now, let's solve each problem.
5² = 5 x 5 = 255⁻² = 1²/5² = 1/25(-5)² = (-5) x (-5) = 25-5² = -(5²) = -(25) = -25Learn more about exponents: https://brainly.com/question/26553706
The breaking strengths of a random sample of 20 bundles of wool fibers have a sample mean 436.5 and a sample standard deviation 11.9. (a) Construct 90%, 95%, and 99% confidence intervals for the average breaking strength of the wool fibers. (b) Compare the widths of the three confidence intervals. At which level of confidence do you have the widest interval
Answers
(a) Construct confidence intervals are : 90%: [428.95, 444.05], 95%: [427.13, 445.87], 99%: [423.67, 449.33].
(b) The 99% confidence interval has the widest interval.
(a) To construct confidence intervals for the mean breaking strength of the wool fibers, we shall use the given formula:
Confidence interval = sample mean ± (critical value * standard error)
The critical value here will depends on the level of confidence. For a 90% confidence level, the critical value is 1.645 (from the standard normal distribution). For a 95% confidence level, the critical value is 1.96, and for a 99% confidence level, the critical value is 2.576.
Standard error is obtained by dividing the sample standard deviation by the square root of the sample size.
Plugging in the values, we can calculate the confidence intervals:
90% confidence interval:
Lower bound = 436.5 - (1.645 * (11.9 / √20))
Upper bound = 436.5 + (1.645 * (11.9 / √20))
95% confidence interval:
Lower bound = 436.5 - (1.96 * (11.9 / √20))
Upper bound = 436.5 + (1.96 * (11.9 / √20))
99% confidence interval:
Lower bound = 436.5 - (2.576 * (11.9 / √20))
Upper bound = 436.5 + (2.576 * (11.9 / √20))
(b) The width of a confidence interval depends on both the critical value and the standard error. When aiming for a higher level of confidence, the interval becomes wider as it requires a larger critical value. Consequently, it can be concluded that among the given confidence intervals, the one with a 99% confidence level will have the broadest range.
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Find a number “a so that the numbers 42, 46, a, a, a have a mean and mode both equal.
Answers
Answer:
44
Step-by-step explanation:
The mode will be a as it is the most in frequency.
Calculating 'a' by taking the mean
42 + 46 + a + a + a / 5 = a88 + 3a = 5a2a = 88a = 44Members at a popular fitness club currently pay a $40 per month membership fee. The owner of the club wants to raise the fee to $50 but is concerned that some members will leave the gym if the fee increases. To investigate, the owner plans to survey a random sample of the club members and construct a 95% confidence interval for the proportion of all members who would quit if the fee was raised to $50.
(a) Explain the meaning of "95% confidence" in the context of the study.
(b) After the owner conducted the survey, he calculated the confidence interval to be 0.18 0.075 Interpret this interval in the context of the study.
(c) According to the club's accountant, the fee increase will be worthwhile if fewer than 20% of the members quit. According to the interval from part (b), can the owner be confident that the fee increase will be worthwhile? Explain.
(d) One of the conditions for calculating the confidence interval in part (b) is that and. Explain why it is necessary to check this condition.
Answers
Answer:(a) "95% confidence" means that if we were to repeat this study many times, we would expect the true proportion of members who would quit to be within the calculated interval for 95% of those studies. In other words, we can be 95% confident that the true proportion of members who would quit falls within the interval.
(b) The interval is [0.18, 0.075]. This means that we are 95% confident that the true proportion of members who would quit if the fee was raised to $50 falls between 0.18 and 0.075.
(c) No, the owner cannot be confident that the fee increase will be worthwhile because the interval from part (b) includes 20%. If the true proportion of members who would quit is 20%, then the fee increase would not be worthwhile. Since the interval includes 20%, we cannot be confident that the true proportion is less than 20%.
(d) One of the conditions for calculating the confidence interval is that the sample size is large enough and that the number of successes and failures in the sample are both at least 10. This is necessary because the interval calculation relies on the normal distribution, which is only valid when the sample size is large enough and the number of successes and failures are both at least 10. If this condition is not met, then the interval calculation may not be accurate or valid.
Step-by-step explanation:
Find the slope of the line.
Please help
Answers
Answer:
d
Step-by-step explanation:
up six and to the left 5. going left is nevative so its negative 6 over 5
Answer:
Step-by-step explanation:
728182×+b282=288282b
LEL -15 -7 A = 9 3 and b [ 42 84 14 14 Define the linear transformation T: R² R³ by T() = A. Find a vector whose image under Tis 6. Is the vector a unique? Select an answer SUIT
Answers
The image of vector b under the linear transformation T is [168, 1680]. Without additional information about the properties of T and A, it is not possible to determine if this image is unique.
1. Start with the given linear transformation T: R² → R³ defined by T().
2. Multiply the transformation matrix A by the vector b: T(b) = A * b.
3. Substitute the values of A and b into the matrix multiplication: T(b) = [[9, 3], [42, 84]] * [14, 14].
4. Perform the matrix multiplication: T(b) = [9*14 + 3*14, 42*14 + 84*14].
5. Simplify the calculation: T(b) = [168, 1680].
6. The resulting vector [168, 1680] represents the image of vector b under the linear transformation T.
7. To determine if the vector is unique, we would need further information about the properties of T and A, which is not provided in the given question.
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4. Which of the following are NOT undefined terms in Euclidean Geometry?
1. point
II. segment
III. line
IV. angle
Answers
Answer: The answers are ll and lll.
two marbles are randomly selected without replacement from a bag containing blue and green marbles. the probability they are both blue is . if three marbles are randomly selected without replacement, the probability that all three are blue is . what is the fewest number of marbles that must have been in the bag before any were drawn? (2000 mathcounts national target)
Answers
The probability of selecting two blue marbles without replacement is 1/6, and the probability of selecting three blue marbles without replacement is 1/35. The fewest number of marbles that must have been in the bag before any were drawn is 36.
Let's assume there are x marbles in the bag. The probability of selecting two blue marbles without replacement can be calculated using the following equation: (x - 1)/(x) * (x - 2)/(x - 1) = 1/6. Simplifying this equation gives (x - 2)/(x) = 1/6. Solving for x, we find x = 12.
Similarly, the probability of selecting three blue marbles without replacement can be calculated using the equation: (x - 1)/(x) * (x - 2)/(x - 1) * (x - 3)/(x - 2) = 1/35. Simplifying this equation gives (x - 3)/(x) = 1/35. Solving for x, we find x = 36.
Therefore, the fewest number of marbles that must have been in the bag before any were drawn is 36.
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Q6. Let f: X→Y be a function, and let A and B be subsets of X. Give an example which shows that it is not true that f(A-B)=f(A)-f(B)
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There exists an example that demonstrates that the equality f(A-B) = f(A) - f(B) is not always true for a function f: X → Y and subsets A, B of X.
Let's consider a function f: X → Y, where X = {1, 2, 3} and Y = {a, b, c}. Suppose A = {1, 2} and B = {2, 3}.
If we compute f(A-B), we have A-B = {1}, so f(A-B) would be the image of the set {1} under the function f. Let's say f(1) = a. Therefore, f(A-B) = {a}.
Now, let's compute f(A) - f(B). We have A = {1, 2} and B = {2, 3}, so f(A) would be the image of the set {1, 2} under the function f, and f(B) would be the image of the set {2, 3} under the function f. Let's say f(1) = a, f(2) = b, and f(3) = c. Therefore, f(A) - f(B) = {a, b} - {b, c} = {a}.
Comparing f(A-B) = {a} with f(A) - f(B) = {a}, we can see that they are not equal. Hence, the equality f(A-B) = f(A) - f(B) does not hold in this example.
This example demonstrates that the set difference operation A-B can lead to different results than subtracting the corresponding image sets f(A) and f(B). Therefore, the equality f(A-B) = f(A) - f(B) is not always true for all functions and subsets A, B of the domain X.
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Find and interpret the slope. The number of cubic feet of watery In a reservoir x hours after the water starts flowing into the reservoir Is a linear function. The points (40,2,000) and (60, 3,000) are on the line of the function. The slope ls which means that the amount of water in the reservoir is increasing at a rate of cubic feet each hour.
Answers
Answer:
1/50 or 20/1000(same thing but simplified)
Step-by-step explanation:
20) In 28
A) 3.915
C) 4.295
B) 2.153
D) 3.332
Answers
Answer:
D
Step-by-step explanation:
Use a calculator to approximate \(\ln 28\) to the nearest thousandth.
One rectangular solid with a square base has twice the height of another rectangular solid with a square base with the same side length. which statements about the two rectangular solids are true? check all that apply.
Answers
The correct statements about the solids are:
(A) The bases are congruent.(D)The volume of the first solid is twice as much as the volume of the second solid.(E) If the dimensions of the second solid are x by x by h, the first solid has 4xh more.What are solids?Solid geometry or stereometry is the standard name for the geometry of three-dimensional Euclidean spaces in mathematics. Stereometry is concerned with the volume measurements of various solid forms, such as pyramids, prisms, and other polyhedrons; cylinders; cones; truncated cones, and balls bordered by spheres.To find which statements are correct:
Congruent base: This is used to indicate that the triangles' bases are the same and that they have the same shape.
The volume of the first triangle is: \(2x^{2} h\)
The volume of the second triangle is: \(x^{2} h\)
Therefore, the correct statements about the solids are:
(A) The bases are congruent.(D)The volume of the first solid is twice as much as the volume of the second solid.(E) If the dimensions of the second solid are x by x by h, the first solid has 4xh more.Know more about solids here:
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The complete question is given below:
One rectangular solid with a square base has twice the height of another rectangular solid with a square base with the same side length. Which statements about the two rectangular solids are true? Check all that apply.
A) The bases are congruent.
B) The solids are similar.
C) The ratio of the volumes of the first solid to the second solid is 8:1.
D)The volume of the first solid is twice as much as the volume of the second solid.
E) If the dimensions of the second solid are x by x by h, the first solid has 4xh more
surface area than the second solid.
GUYS I NEED FIVE SENTECES!!!! IM GIVING BRAINLIEST!
Explain how chemical reactions have been used to light and heat homes?
Answers
Answer:
Exothermic reactions release heat and light into their surroundings. For example, combustion reactions are usually exothermic. In exothermic reactions, the products have less enthalpy than the reactants, and as a result, an exothermic reaction is said to have a negative enthalpy of reaction.
Step-by-step explanation:
What are the key guidelines for p-value?
Answers
The significance level, account for multiple testing, and recognize the limitations and context when interpreting p-values.
The p-value is a crucial concept in statistical hypothesis testing. It refers to the probability of observing a test statistic as extreme as or more extreme than the one observed, given that the null hypothesis is true.
In other words, it is the probability of obtaining the observed result by chance, assuming that there is no true effect.
There are several key guidelines that researchers need to keep in mind when interpreting p-values.
This threshold should not be taken as a hard-and-fast rule and other factors such as the study design sample size and effect size should also be considered.
Secondly, the p-value alone cannot determine the validity or importance of a research finding.
It is just one piece of evidence that needs to be considered along with other factors, such as the magnitude of the effect, the precision of the estimates, the plausibility of alternative explanations, and the practical implications of the findings.
Thirdly, the p-value can be influenced by various factors, such as the choice of statistical test, the assumptions made about the data, and the presence of outliers or influential observations.
Therefore,
Researchers should always report the assumptions and limitations of their analyses and consider conducting sensitivity analyses to test the robustness of their results.
In summary,
The key guidelines for interpreting p-values include understanding their meaning and limitations, considering other factors in addition to p-values, and being aware of the factors that can influence their interpretation.
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Please i need help i don't understand
Answers
Answer:
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign
Step-by-step explanation:
I will mark as brainiest!!!! Plzzzz help
Answers
Answer:
A) One hundred random students
Step-by-step explanation:
an opinion poll is to be conducted among cable tv viewers. five multiple-choice questions, each with three possible answers, will be asked. in how many different ways can a viewer complete the poll if exactly one response is given to each question?
Answers
The number of different ways a viewer can complete the poll if exactly one response is given to each question is 243.
This is a question of permutations and combinations.
It is given in the question that an opinion poll is to be conducted among cable tv viewers. There are five multiple-choice questions, each with three possible answers.
We have to find the number of different ways a viewer can complete the poll if exactly one response is given to each question.
A viewer can do a question with three possible answer in 3 ways, by choosing any one of them.
Hence,
Number of different ways a viewer can complete the poll with 5 questions if exactly one response is given to each question = 3*3*3*3*3 = 243.
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FILL IN THE BLANK. Study with Quizlet and memorize flashcards containing terms like ____ are the categories by which data are grouped
Answers
Data categorization is a process of organizing and grouping data into meaningful classes or categories.
This process is often used to simplify data and make it easier to understand and analyze. Data categorization involves breaking down a large set of data into smaller, more manageable groups. For example, a company may group customers into categories based on their age, income, or location. Each group can then be analyzed separately to better understand customer behavior. Categorizing data can also help identify trends or patterns that may not be visible when looking at the data as a whole. Categorization can also be used to identify outliers or anomalies in the data. By breaking down the data into smaller groups, it becomes easier to see which elements don’t fit the pattern or are not part of the normal range. Categorizing data can be done using a variety of methods. For example, data can be divided into numerical ranges or grouped into categories such as low, medium, and high. Data can also be grouped using descriptive terms, such as customer type or product type. Once the data is categorized, calculations such as averages, medians, and modes can be used to analyze the data. This can help to identify patterns or trends that can be used to make decisions or draw conclusions.
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What is the percent
increase from 70 to 77?
Answers
Percentage change = 10%
We can use the formula:
Percent change = \(\frac{New-Old}{Old}\) x 100
Percent change = \(\frac{77-70}{70}\)x100
Percent change = \(\frac{7}{70}\) x 100
Percent change = 0.1 x 100
Percent change = 10%
Answer: 53.9
Step-by-step explanation:
Which number line represents the solution to the inequality
1
+
2
x
<
−
7
?
Answers
Answer:
\(\boxed {x < -4}\) (Choice D)
Step-by-step explanation:
You first need to solve the following inequality in order to get the actual answer and find the actual graph:
\(1 + 2x < -7\)
-Subtract \(1\) to both sides:
\(1 - 1 + 2x < -7 - 1\)
\(2x < -8\)
-Divide both sides by \(2\):
\(\frac{2x}{2} < \frac{-8}{2}\)
\(\boxed {x < -4}\)
The number line graphed:
What is the slope????
Answers
Answer:
-6
Step-by-step explanation:
is that quizzes join lol
Twenty-four pairs of adult brothers and sisters were sampled at random from a population. The difference in heights, recorded in inches (brother’s height minus sister’s height), was calculated for each pair. The 95% confidence interval for the mean difference in heights for all brother-and-sister pairs in this population was (–0. 76, 4. 34). What was the sample mean difference from these 24 pairs of siblings?
–0. 76 inches
0 inches
1. 79 inches
4. 34 inches
Answers
The sample mean difference in heights for these 24 pairs of siblings is 1.79 inches. So the third option is correct.
The 95% confidence interval for the mean difference in heights for all brother-and-sister pairs in the population was (–0.76, 4.34).
This means that if we were to repeat this sampling process many times, we would expect 95% of the resulting confidence intervals to contain the true mean difference in heights for all brother-and-sister pairs in the population.
To find the sample mean difference from these 24 pairs of siblings, we take the midpoint of the confidence interval. The midpoint is the average of the lower and upper bounds, which is:
(-0.76 + 4.34) / 2 = 1.79
Therefore, the sample mean difference in heights for these 24 pairs of siblings is 1.79 inches.
So the correct answer is third option.
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A security car is parked 25 ft from a movie theater. find at what speed the reflection of the security strobe lights is moving along the wall of the movie theater when the reflection is 30 ft from the car. the strobe lights are rotating with the speed 2 revolutions per second. (note: don't approximate the answer and state its exact value in terms of π)
Answers
The reflection of the security strobe lights on the wall of the movie theater is moving at a speed of π ft/s when it is 30 ft from the car.
The speed at which the reflection of the security strobe lights moves along the wall can be determined by considering the rotational speed of the strobe lights and the geometry of the situation. The strobe lights make 2 revolutions per second, which means they complete 2 full circles in one second.
To find the speed of the reflection, we can consider the relationship between the distance from the car and the angle of rotation. The distance traveled by the reflection is related to the angle subtended by that distance at the center of rotation. In this case, the distance from the car is changing, and we want to find the corresponding angular speed.
Let's denote the distance from the car as d and the angle of rotation as θ. We can set up a proportionality between the arc length (d) and the angle (θ) using the formula for the circumference of a circle:
2π radians = 2π ft (corresponding to one complete revolution)
Thus, the proportionality can be written as:
θ radians = d ft
We are given that when the reflection is 30 ft from the car, the angle θ is π radians (corresponding to half a revolution). Solving the proportionality for θ, we find θ = d/25π.
To find the speed of the reflection, we need to differentiate θ with respect to time. Differentiating both sides of the proportionality, we get:
dθ/dt = 1/25π * dd/dt
Since dθ/dt represents the angular speed and is equal to the rotational speed of the strobe lights (2 revolutions per second), we have:
2 = 1/25π * dd/dt
Solving for dd/dt, we find:
dd/dt = 50π ft/s
Therefore, the reflection of the security strobe lights is moving at a speed of 50π ft/s when it is 30 ft from the car.
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A tank contains 20 gallons of water when all of a sudden the water begins draining at a constant rate of 2 gallons per hour
Answers
Based on the given information, the tank will be empty after 10 hours of continuous drainage at a rate of 2 gallons per hour.
The tank initially contains 20 gallons of water, and it drains at a constant rate of 2 gallons per hour. To find out how long it takes for the tank to be empty, we can divide the initial amount of water by the drainage rate:
Time = Initial amount of water / Drainage rate
Time = 20 gallons / 2 gallons per hour
Time = 10 hours
Based on the given information, the tank will be empty after 10 hours of continuous drainage at a rate of 2 gallons per hour. This means that every hour, 2 gallons of water will be drained from the tank until it is completely empty.
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I don’t know how to do this can I get some help plss
Answers
The triangle in the question is a right triangle.
Recall that a right triangle that has an angle measuring 45 degrees is an isosceles triangle. This means that the two lines adjacent to the right angle are equal.
Going by this definition, we have that:
\(BC=AC\)Therefore:
\(AC=3\)The length of the hypotenuse can be gotten using the Pythagorean Theorem:
\(\begin{gathered} AB^2=3^2+3^2 \\ AB=\sqrt{9+9}=\sqrt{18}=3\sqrt{2} \end{gathered}\)Hence, we can calculate the value of the ratios provided:
\(\begin{gathered} \sin A=\frac{BC}{AB} \\ \cos A=\frac{AC}{AB} \\ \tan A=\frac{BC}{AC} \end{gathered}\)Using the calculated value, we have the answers to be:
\(\begin{gathered} \sin A=\frac{3}{3\sqrt{2}}=\frac{1}{\sqrt{2}}=\frac{\sqrt{2}}{2} \\ \cos A=\frac{3}{3\sqrt{2}}=\frac{1}{\sqrt{2}}=\frac{\sqrt{2}}{2} \\ \tan A=\frac{3}{3}=1 \end{gathered}\)ANSWER
\(\begin{gathered} \sin A=\frac{\sqrt{2}}{2} \\ \cos A=\frac{\sqrt{2}}{2} \\ \tan A=1 \end{gathered}\)if two violin players can sing the 9th symphony in 12 minutes, how much time do 6 violin players need?
Answers
Answer:
6 violin players can play the 9th symphony in 36 minutes
Step-by-step explanation:
Assuming that the six violin players can play the 9th symphony at the same rate as the two violin players who can play and sing it in 12 minutes, we can use the following proportion:
2 violin players can play and sing in 12 minutes
6 violin players can play at the same rate in x minutes
The proportion can be written as:
2/12 = 6/x
To solve for x, we can cross-multiply and simplify:
2x = 6 * 12
2x = 72
x = 36
Therefore, 6 violin players can play the 9th symphony in 36 minutes, assuming they can play at the same rate as the two violin players who can play and sing it in 12 minutes.
The concept of proportional reasoning suggests that 6 violin players would need 4 minutes to perform the 9th symphony.
To solve this problem, we need to use the concept of proportional reasoning. If two violin players can sing the 9th symphony in 12 minutes, we can write this as a ratio: 2 players/12 minutes. To find out how much time six violin players need, we can set up a proportion:
2 players/12 minutes = 6 players/x minutes
To solve for x, we can cross-multiply and simplify:
2x = 6 * 12
2x = 72
x = 36
Therefore, six violin players can sing the 9th symphony in 36 minutes.
Hi! If two violin players can perform the 9th symphony in 12 minutes, then 6 violin players would be able to complete it in less time. Assuming they work at the same pace, you can use the formula:
(time for 1 group) / (number of groups) = time for multiple groups
In this case, 1 group consists of 2 violin players, and there are 6 violin players in total, which makes 3 groups. So the calculation would be:
12 minutes / 3 groups = 4 minutes
Therefore, 6 violin players would need 4 minutes to perform the 9th symphony.
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Use the graph to answer the question.
Determine the direction and degree of rotation used to create the image.
90 counterclockwise rotation
90 clockwise rotation
270 counterclockwise rotation
180 clockwise rotation
Answers
This represents the direction and degree of rotation utilised to make the image, which is 90 degrees anticlockwise.
what is degree of rotation ?When an item or form is rotated about a fixed point, generally the origin or a specified point in the plane, the amount of rotation that takes place is referred to as the degree of rotation. Angles are measured in degrees, where one full rotation equals 360 degrees. The amount of angle shift, expressed in degrees, that occurs when an item or shape is rotated is known as the degree of rotation. A shape has been turned a quarter of a full rotation anticlockwise, for instance, if it is rotated 90 degrees in that direction. Similar to this, a form has completed one-half of a full rotation if it is rotated 180 degrees.
given
The graph suggests that the image was rotated 90 degrees anticlockwise and in the other manner to make.
Compare the figure's initial placement (the grey triangle) to its final placement to see this (the red triangle).
One of the vertices on the grey triangle is pointing upward, and the other two are pointing to the right and left.
The red triangle's up-pointing vertex remains after the transformation, but the other two vertices now point down and up-left, respectively.
This represents the direction and degree of rotation utilised to make the image, which is 90 degrees anticlockwise.
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14.62 rounded to the nearest number
Answers
Answer:
15
Step-by-step explanation:
To answer this, we would have to look at the last place first, which is the hundredths place. In the hundredths place, we have a 2. 2 is less than 5, so we would just pretend it isn't there since we would round down. Now, looking at the tenths place, which is the 6, we can determine whether or not we round. If the number is 5 and above, (including 5) we would round up. In this case, it is 6, so we would round the number in front of it (4) up by one to get 15.
Brainliest would be appreciated!