Answer:
5 1/4
Step-by-step explanation:
Divide 15 3/4 by 3 to get the answer
The sum of 85 + w is less than or equal to 6 multiplied by y.
A. 85 + w ≤ 6y
B. 85 + w ≥ 6y
C. 6 x y ≤ 85 + w
D. 85 + w ≠ 6y
Given:
The sum of 85 + w is less than or equal to 6 multiplied by y.
To find:
The inequality for the given situation.
Solution:
We know that,
The sum of 85 and w means "85+w".
Less than or equal means "≤".
6 multiplied by y means "6y".
So, the inequality for the statement "the sum of 85 + w is less than or equal to 6 multiplied by y", is:
\(85+w\leq 6y\)
Therefore, the correct option is A.
Which phrase best describes the translation from the graph y=6x^2 to the graph of y=6 (x+1)^2?
6 units right
6 units left
1 unit right
1 unit left
Answer:
1 unit left
Step-by-step explanation:
Here, we want to get the kind of transformation applied
From the given equations, we can see that the value 1 being added to 1 in the second equation is the difference
What this mean is that we have an issue with the x value
For x to move to x + 1, there is a translation to the tune of 1 unit in the left direction
What is the value of angle x°?
Answer:
x = 121
Step-by-step explanation:
To find x, you can add 154 and 88 and divide the total by 2.
154 + 88 = 242
242/2 = 121
x = 121
What is the slope of the line passing through the two points (-5,0) and (0,19)
URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Scores of healthy adults on a neurological test form a normal distribution with mean = 100 and sd = 15. what conclusion can be inferred about an individual score that corresponds to a z value of 1.0?
A conclusion which can be inferred about an individual score that corresponds to a z-value of 1.0 is that: c.) it is likely to come from the healthy distribution.
What is a z-value?A z-value is also referred to as a z-score or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.
In Statistics, z-values can either be positive or negative and it can be calculated by using this formula:
\(Z=\frac{x\;-\;u}{\delta}\)
Where:
x is the sample mean or observed data.u is the mean.δ is the standard deviation.Since the individual score that corresponds to a z-value of 1.0, we can reasonably infer and logically conclude that an individual score is likely to come from the healthy distribution.
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Complete Question:
Scores of healthy adults on a neurological test form a normal distribution with mean = 100 and SD = 15. What conclusion can be inferred about an individual score that corresponds to a z value of 1.0?
a.) it falls in the general region of the population
distribution
b.) it falls in the common region of the distribution
c.) it is likely to come from the healthy distribution
d.) it is unlikely to come from the healthy distribution
Prove the following statement.
The difference of any two odd integers is even. Proof: Let m and n be any odd integers. By definition of odd, there are integers r and s so that m can be expressed in terms of r and n can be expressed in terms of s as follows.
m =
n =
The difference of any two odd integers is even. This can be answered by the concept of Real number.
Proof: Let m and n be any odd integers. By definition of odd, there are integers r and s so that m can be expressed in terms of r and n can be expressed in terms of s as follows.
m = 2r + 1
n = 2s + 1
Now, we want to find the difference between m and n, which is (m - n).
(m - n) = (2r + 1) - (2s + 1)
Using the distributive property, we get:
(m - n) = 2r + 1 - 2s - 1
Simplifying further, we have:
(m - n) = 2r - 2s
Now, we can factor out 2 from the expression:
(m - n) = 2(r - s)
Since (r - s) is an integer, the difference (m - n) is a multiple of 2, which means it is even. Therefore, the difference of any two odd integers is even.
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MARKING BRAINLIST OR 5 STAR IF YOU ANSWER THESE.
Answer:
Left question- B
Right- D
Step-by-step explanation:
Left- 85÷5 is 17
Right- A cube has 6 sides and so 126 ÷6= 21
Answer:
17
42
Step-by-step explanation:
1st question: P (A) = 1/5 · 85 = 17
2nd question: P (1 or 2) = 1/6 + 1/6 = 2/6 or 1/3; 1/3 · 126 = 42
there are two important properties of probabilities. 1) individual probabilities will always have values between and . 2) the sum of the probabilities of all individual outcomes must equal to .
1.) Probabilities range from 0 to 1, denoting impossibility and certainty, respectively.
2.) The sum of probabilities of all possible outcomes is equal to 1.
1.) Individual probabilities will always have values between 0 and 1. This property is known as the "probability bound." Probability is a measure of uncertainty or likelihood, and it is represented as a value between 0 and 1, inclusive.
A probability of 0 indicates impossibility or no chance of an event occurring, while a probability of 1 represents certainty or a guaranteed outcome.
Any probability value between 0 and 1 signifies varying degrees of likelihood, with values closer to 0 indicating lower chances and values closer to 1 indicating higher chances. In simple terms, probabilities cannot be negative or greater than 1.
2.) The sum of the probabilities of all individual outcomes must equal 1. This principle is known as the "probability mass" or the "law of total probability." When considering a set of mutually exclusive and exhaustive events, the sum of their individual probabilities must add up to 1.
Mutually exclusive events are events that cannot occur simultaneously, while exhaustive events are events that cover all possible outcomes. This property ensures that the total probability accounts for all possible outcomes and leaves no room for uncertainty or unaccounted possibilities.
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1. Solve for the unknown in each triangle. Round each answer to the nearest tenth.
The values of the missing sides are;
a. x = 35. 6 degrees
b. x = 15
c. x = 22. 7 ft
d. x = 31. 7 degrees
How to determine the valuesTo determine the values, we have;
a. Using the tangent identity;
tan x = 5/7
Divide the values
tan x = 0. 7143
x = 35. 6 degrees
b. Using the Pythagorean theorem
x² = 9² + 12²
find the square
x² = 225
x = 15
c. Using the sine identity
sin 29= 11/x
cross multiply the values
x = 11/0. 4848
x = 22. 7 ft
d. sin x = 3.1/5.9
sin x = 0. 5254
x = 31. 7 degrees
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please help me, thanks!
Answer:
m = -2
Step-by-step explanation:
First get all the m's on one side:
5 + 2m = 3 + m
2m - m = 3 - 5 (now simplify)
m = -2
Hope this helps!
Please help! Worth 60 points for the rapid reply- Find the slopes of each side of the quadrilateral. Also, what is the most accurate classification for the quadrilateral? Rhombus, Trapezod, or Kite.
Answer:
Trapezoid
mAB = -2/3
mBC = 8
mCD = -2/3
mAD = 14/5
Step-by-step explanation:
Slope formula can be best seen as:
m = (y2 - y1) / (x2 - x1)
Step 1 : Find the Slope of each points
mAB = -2/3
mBC = 8
mCD = -2/3
mAD = 14/5
Step 2 : Classify the Quadrilateral
Rhombus Properties | All side lengths are the same and opposide sides have same slope
Kite | Adjacent sides are the same length
Trapezoid | One set of parrallel line (same slope)
Final Answer
Based on the properties of quadrilaterals, it is a trapezoid as it has one pair of parrallel line with the same slope of -2/3.
what are the equivalence classes of the equivalence relations in exercise 1?
The equivalence classes of the equivalence relations in exercise 1 are the sets of elements that are related to each other under the given equivalence relation.
For example, if the equivalence relation is "x is related to y if x and y have the same remainder when divided by 3," then the equivalence classes would be:
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answer corecctly plss
7(2+5v0=2v+14
Answer:
v=0
Step-by-step explanation:
I think you mean 7(2+5v)=2v+14.
14+35v=2v+14 distribute
33v=0 Subtract 2v and 14
v=0 divide by 33 on both sides
Hope this helps plz mark brainliest if correct :D
2. For each function shown, answer the questions.
Part I: Given the function f(x)=3√√x-2,
A. What restriction is there on the value under the square root symbol? In
other words, what can't you do with a square root expression? (2 points)
B. What is the domain of this function? (2 points)
A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables.
The types of function.In Mathematics, there are different types of functions and these include the following;
Periodic functionInverse functionModulus functionSignum functionPiece-wise defined function.For the given function f(x) = 3√(x - 2), the restriction on the value under the square root symbol is that it cannot take a negative number. This ultimately implies that, all the values under the square root symbol must be greater or equal to 0.
What is a domain?A domain can be defined as the set of all real numbers for which a particular function is defined. Thus, the domain of this function are all real numbers and these include the following:
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what is the difference between descriptive statistics and inferential statistics?
A data set's attributes are enumerated through descriptive statistics. You can use inferential statistics to test a hypothesis or determine whether your data can be applied to a larger population.
Descriptive statistics concentrate on describing the features of a dataset that are readily evident (a population or sample). In contrast, inferential statistics concentrate on drawing conclusions or generalisations from a sample of data in a larger dataset.
The information from a research sample is described and condensed using descriptive statistics. We can draw conclusions about the larger population from which we drew our sample using inferential statistics.
The area of statistics known as descriptive statistics is focused on providing a description of the population being studied. A type of statistics known as inferential statistics concentrates on inferring information about the population from sample analysis and observation.
Hence we get the required answer.
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Are polynomials closed under addition and subtraction?
Polynomials form a system like to that of integers hence they are closed under the operations of addition and subtraction.
Exponents of polynomials are whole numbers.
Hence the resultant exponents will be whole numbers , addition is closed for whole numbers. As a result, polynomials are closed under addition.
If an operation results in the production of another polynomial, the resulting polynomials will be closed.
The outcome of subtracting two polynomials is a polynomial. They are also closed under subtraction as a result.
The word polynomial is a Greek word. We can refer to a polynomial as having many terms because poly means many and nominal means terms. This article will teach us about polynomial expressions, polynomial types, polynomial degrees, and polynomial properties.
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I’m confused. Please help!
Triangle ABC is a scale drawing of triangle XYZ, as shown.
Based on the information shown in these triangles, which of the following is a true statement?
A the length of side XZ is is 11.5
B the length of side XZ is 28
C the measure of angle A is equal to the measure of angle Z the measure of angle A is not equal to any of the angle measures of a triangle XYZ
D
Answer:
D
Step-by-step explanation:
i checked with a protracter im not sure if its correct but i have a felling its correct
Use this information for the next four questions: Researchers wanted to know about a standardized test that was used across the country. To get an estimate of the answer, they collected data from two classrooms of students who completed the test. Scores from Classroom A: 8, 6, 9, 9, 8, 7, 8, 9, 10, 8, 10, 5, 4, 10, 9, 9 Scores from Classroom B: 9, 8, 7, 8, 9, 10, 9, 10, 7, 8, 10, 9, 9, 4, 6, 3
The set of all scores on the standardized test across the country is:
a. a statistic
b. a parameter
c. the sample
d. the population
In this context, the set of all scores on the standardized test across the country is referred to as the population.
In statistics, a population refers to the entire group of individuals, objects, or events that we are interested in studying. It represents the complete collection of units from which we want to draw conclusions or make inferences. In this case, the population consists of all students who have taken the standardized test across the country.
A parameter, on the other hand, is a numerical characteristic of a population. It describes a specific aspect or feature of the population, such as the mean, standard deviation, or proportion. Parameters are typically unknown and are estimated based on sample data.
In contrast, a sample refers to a subset of individuals or observations taken from the population. Samples are used to make inferences about the population. In this scenario, the researchers collected data from two classrooms of students (Classroom A and Classroom B), which can be considered as two separate samples from the population.
A statistic is a numerical measure calculated from sample data. It provides information about the sample itself but is not representative of the entire population. Examples of statistics include sample means, sample standard deviations, or sample proportions.
Based on the given information, the set of scores from Classroom A and Classroom B are samples, as they represent a subset of students who completed the test. The population, in this case, refers to the entire group of students who have taken the standardized test across the country. Therefore, the correct answer is d. the population.
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identify the property illustrated by the equation 8x(5x9)=(8x5)x9
Answer:
assosiative property
Find the volume of this pyramid
Answer:
47,61 inches
Step-by-step explanation:
I used 23 inches as the width and length since this pyramid's base is a hexagon with all equal sides. Hope this helps =)
Question 2: Class Performance [15 marks] The final scores in a statistics class are historically found to be normally distributed with a mean of 65% and a standard deviation of 8%,N(65,8)
a. What is the probability that a student in this class passes the course (assume a passing grade is 50% )? Use Table A at the end of the textbook to answer this question. [4 marks]
b. Under the Queen's University GPA Scale, what is the probability that a student in this class receives exactly 3.3 Grade Points? Use Table A to answer this question. [4 marks]
c. Find the percentage score required to be in the top 10% of students. Use Table A to answer this question. [4 marks]
d. Suppose the distribution of final scores in a microeconomics class are historically found to have the distribution N(60,11). Also suppose a student has received 80% in both the statistics and microeconomics classes. How can you compare their performance in the two courses? Determine which course the student has performed better in relative to their peers. [3 marks]
a. the probability that a student in this class passes the course is approximately 1 - 0.0301 = 0.9699 (or 96.99%). b. the probability that a student in this class receives exactly 3.3 Grade Points on the Queen's University GPA Scale is approximately 0.9992 (or 99.92%). c. the percentage score required to be in the top 10% of students is approximately 75.24%. d. the student's z-score in statistics (1.875) is higher than their z-score in microeconomics (1.818).
a. To find the probability that a student in the class passes the course (assuming a passing grade is 50%), we need to calculate the area under the normal distribution curve for scores greater than or equal to 50%.
Using Table A or a standard normal distribution calculator, we can find the z-score corresponding to a score of 50% in a normal distribution with a mean of 65% and a standard deviation of 8%.
The z-score can be calculated as:
z = (x - mean) / standard deviation
z = (50 - 65) / 8
z = -1.875
From Table A, the corresponding area (probability) for a z-score of -1.875 is approximately 0.0301.
Therefore, the probability that a student in this class passes the course is approximately 1 - 0.0301 = 0.9699 (or 96.99%).
b. To find the probability that a student in this class receives exactly 3.3 Grade Points on the Queen's University GPA Scale, we need to find the corresponding z-score for 3.3.
Since the Queen's University GPA Scale is not explicitly mentioned in the question, we will assume a standard normal distribution with a mean of 0 and a standard deviation of 1.
Using Table A, the area (probability) for a z-score of 3.3 is approximately 0.9992.
Therefore, the probability that a student in this class receives exactly 3.3 Grade Points on the Queen's University GPA Scale is approximately 0.9992 (or 99.92%).
c. To find the percentage score required to be in the top 10% of students, we need to find the z-score corresponding to the area under the normal distribution curve that leaves a probability of 10% in the upper tail.
Using Table A, the z-score corresponding to the top 10% (or 90th percentile) is approximately 1.28.
Now, we can calculate the percentage score using the z-score:
z = (x - mean) / standard deviation
1.28 = (x - 65) / 8
Solving for x, we get:
x - 65 = 1.28 * 8
x - 65 = 10.24
x = 75.24
Therefore, the percentage score required to be in the top 10% of students is approximately 75.24%.
d. To compare the student's performance in the statistics and microeconomics classes, we can use z-scores to standardize the scores relative to their respective class distributions.
For statistics:
z_stats = (x_stats - mean_stats) / standard_deviation_stats
z_stats = (80 - 65) / 8
z_stats = 1.875
For microeconomics:
z_micro = (x_micro - mean_micro) / standard_deviation_micro
z_micro = (80 - 60) / 11
z_micro = 1.818
Comparing the z-scores, we see that the student's z-score in statistics (1.875) is higher than their z-score in microeconomics (1.818).
Since z-scores represent the number of standard deviations above or below the mean, a higher z-score indicates better performance relative to the class. Therefore, the student has performed better in statistics relative to their peers compared to their performance in microeconomics.
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how many cards must be selected from a standard deck of 52 cards to guarantee that at least three cards of the same (matching) suit are chosen
Answer:
Step-by-step explanation:
17
Advanced equation solving written problem one
Solve the equation on the interval [0,2π), showing all steps of the solution process. While you are welcome to check with a solver, no credit will be given for magic answers! If it is possible to obtain an exact value solution, you must give in that form. Otherwise, use decimal radians rounded to two places for the angles. Clearly indicate reference angles and quadrants. After solving, produce a Desmos graph showing the left and right sides of the equation graphed as functions, restricted to [0,2π), and click to reveal points of intersection. Screenshot and include. Solve: 2 sin^2 x + 20 cos x = 6
The equation are: x = -1 radians (-57.3°) and x = 11 radians (626.9°).
To solve this equation, use the identity sin2x + cos2x = 1 and apply it to the left side of the equation.
2 sin2x + 20 cos x = 6
2 (1 - cos2x) + 20 cos x = 6
2 - 2 cos2x + 20 cos x = 6
2 cos2x - 20 cos x + 2 = 6
cos2x - 10 cos x + 1 = 0
Next, solve the resulting quadratic equation using the quadratic formula: x = [-b ± √(b2 - 4ac)]/2a. In this case:
x = [-(-10) ± √((-10)2 - 4(1)(1))]/2(1)
x = [10 ± √(100 - 4)]/2
x = [10 ± √(96)]/2
x = (10 ± 4√6)/2
x = (10 ± 12)/2
x = 5 ± 6
We then use the interval [0,2π) to calculate the exact radian values for x. The two solutions in this interval are:
x = 5 - 6 = -1
x = 5 + 6 = 11
For reference, the angle corresponding to -1 radians is -57.3° and the angle corresponding to 11 radians is 626.9°.
To check the solution, graph the two sides of the equation on Desmos, with the interval [0,2π). The graph will show the two points of intersection (marked with circles) which correspond to the two solutions.
In conclusion, the exact values of x which satisfy the equation are: x = -1 radians (-57.3°) and x = 11 radians (626.9°).
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Pls and thank you which one need to be used for these triangles
Answer:
sas ofc
side angle side
Step-by-step explanation:
Help please I will give pioints
Answer: 0.6 pounds
Step-by-step explanation: 3 divided by 5 = 0.6 pounds
You have $300,000 saved for retirement. Your account earns 10% interest. How much will you be able to pull out each month if you want to be able to make withdrawals for 25 years?
You will be able to pull out $30,956.52 each month if you want to make withdrawals for 25 years with $300,000 saved for retirement and 10% interest.
To find out how much you will be able to pull out each month if you want to make withdrawals for 25 years with $300,000 saved for retirement and 10% interest, we can use the formula:
Monthly withdrawal = (Starting balance * Interest rate) / (1 - (1 + Interest rate)^(-Number of withdrawals))
In this case, the starting balance is $300,000, the interest rate is 10% or 0.10, and the number of withdrawals is 25 years * 12 months = 300 withdrawals.
Plugging in the numbers, we get:
Monthly withdrawal = ($300,000 * 0.10) / (1 - (1 + 0.10)^(-300))
Monthly withdrawal = $30,000 / (1 - 0.031)
Monthly withdrawal = $30,000 / 0.969
Monthly withdrawal = $30,956.52
Therefore, you will be able to pull out $30,956.52 each month if you want to make withdrawals for 25 years with $300,000 saved for retirement and 10% interest.
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random samples of size 49 are taken from a population that has 400 elements, a mean of 170, and a variance of 196. the distribution of the population is unknown. the mean and the standard error of the distribution of sample means are .
The mean and the standard error of the distribution of sample means are 170 and 1.876 respectively.
As per the given data random samples of size 49 are taken from a population that has 400 elements.
N = 400
n = 49
The mean of the data is 170.
\($ \mu_{\bar{x}}=\mu=170 \\\)
The variance of the data is 196
If the sample size is more than 5 %. of the entire population, a finite population correlation factor (fpc) is multiplied with standard error,
Finite population correlation factor = \($\sqrt{\frac{N-n}{N-1}} \\\)
Finite population correlation factor = \($\sqrt{\frac{400-49}{400-1}} \\\)
Finite population correlation factor (fpc) = \($\sqrt{\frac{351}{399}} \\\)
Finite population correlation factor (fpc) = \(\sqrt{0.8797} \\\)
Finite population correlation factor (fpc) = 0.937923
Finite population correlation factor(fpc) \($& \simeq\) 0.938
The standard error of the mean,\($\sigma_\bar{x}$\) \($=\frac{\sqrt{196}}{\sqrt{49}} \times \mathrm{fpc}$\)
\($\sigma_\bar{x}$\) \($& =\frac{14}{7}(0.938) \\\)
\($\sigma_\bar{x}$\) = 1.876
Therefore the mean and the standard error of the distribution of sample means are 170 and 1.876.
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can someone please help me
Answer:
yeah what you need help with
Suppose that a survey about voting was conducted of 45 randomly selected individuals from Gainesville. The respondents were asked if they planned on voting in the next election. Thirty- five people said that they did plan on voting. Which of the following statements correctly describes how the confidence interval for the population proportion of people that plan on voting in the next election? There are not 15 successes and 15 failures. A confidence interval can not be done. There are not 15 successes and 15 failures. A confidence interval can be computed by adding 2 successes and 2 failures. There are not 15 successes and 15 failures. A confidence interval can be computed by adding 4 successes and 5 failures. There are at least 15 successes and 15 failures. A large sample confidence interval for the population proportion can be computed (phat +/- 2 sqrt{p' (1-p)/n) with no additional values added.
The statement that correctly describes how the confidence interval for the population proportion of people that plan on voting in the next election is "There are not 15 successes and 15 failures. A confidence interval cannot be done."
A confidence interval (CI) is a measure of the degree of uncertainty associated with a sample estimate of a population parameter, often used to describe the reliability of survey results. Confidence intervals, as opposed to point estimates, quantify the level of uncertainty about a population parameter of interest. The confidence interval is a range of possible values for the population parameter of interest, and it is accompanied by a probability or a level of confidence.
Since the survey was conducted on 45 randomly selected individuals, therefore, the sample size is 45.
The number of people who plan to vote is 35. This implies that number of successes is 35.
So, the number of people who do not plan to vote is (45-35)=10. This implies that number of failures is 10.
Here, the number of successes is 35>15 and the number of failures is 10<15.
Hence, the correct option is:
There are not 15 successes and 15 failures. A confidence interval cannot be done.
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