The probability of Kim getting a 2 and a head is 1/12.
What is probability?A subfield of mathematics known as probability studies random occurrences and the possibility that they will occur. It is a technique of putting a number on the degree of ambiguity surrounding a situation or result. A number between 0 and 1, where 0 denotes an improbable event and 1 denotes a certain event, is used to express probability. The probability of an occurrence is determined by dividing the number of possible outcomes by the number of ways the event may occur. Several disciplines, including science, engineering, economics, and statistics, employ probability.
For a fair dice, the probability of getting a 2 on the dice is 1/6.
The probability of getting a head on the coin is 1/2.
Thus,
P(getting a 2 and a head) = P(getting a 2) × P(getting a head)
= (1/6) × (1/2)
= 1/12
Hence, the probability of Kim getting a 2 and a head is 1/12.
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a doctor prescribes 3 g of a drug, daily, for a patient. the pharmacist has only 750 mg tablets available. how many tablets will the patient take daily?
The patient needs to take 4 tablets daily to receive the prescribed dose of 3 grams of the drug.
To determine how many tablets the patient needs to take daily, we need to divide the total amount of the drug prescribed by the dose of each tablet.
Since the patient is prescribed 3 grams of the drug daily, we first need to convert this to milligrams (mg), as the tablets are available in milligram form.
1 gram = 1000 milligrams, so 3 grams = 3,000 milligrams
The pharmacist has 750 mg tablets available, so we can calculate the number of tablets the patient needs to take daily by dividing the prescribed dose by the dose of each tablet:
Number of tablets = Prescribed dose ÷ Dose per tablet
Number of tablets = 3,000 mg ÷ 750 mg
Number of tablets = 4
Therefore, the patient needs to take 4 tablets daily to receive the prescribed dose of 3 grams of the drug.
Therefore, the patient will take 4 tablets daily.
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the length of a highway is 900. If 0.5 inch on a map represents 50 miles, what is the length of the highway on map?
Answer:
Step-by-step explanation:
We simply have to divide 900 by 50 to get us 18. Now multiply 18 by 0.5 to get an answer of 9 inches. Hope this helped!
which statistical method could a scientist use to estimate the strength of evidence that a particular node in a phylogeny exists?
A scientist can use bootstrap analysis to estimate the strength of evidence that a particular node in a phylogeny exists.
Bootstrap analysis is a statistical method used to determine the reliability and robustness of phylogenetic trees' topologies. In bootstrap analysis, a series of random resampling with replacement is used to assess how well the observed data fit the phylogenetic hypothesis.
Bootstrap values range from 0 to 100 and reflect the proportion of times that a particular node or branch occurs in the bootstrap replicate trees. Bootstrap values greater than 70% are usually considered strong evidence that a particular node or branch exists in the phylogenetic tree.
Bootstrap analysis is an important tool for understanding the reliability of phylogenetic trees and the evolutionary relationships among organisms.
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Please help! Im a struggling depressed student that needs to desperately catch up.
Answer:
25%
Step-by-step explanation:
30/120 = 1/4
1/4 = 25%
Which of these investments would be considered high-risk?
Stocks
Pension Plans
Certificate of Deposit
Annuities
Answer: Stocks
Step-by-step explanation: People mainly live on wim's so stocks at times can be unpredictable.
Patrick owns a business that makes chandeliers. He wants to make
greater than 470 chandeliers. The company made 163 chandeliers so
far. If 10 chandeliers can be made in an hour, how long will it take to
reach Patrick's goal?
Write a two-step inequality, using the values provided in the problem,
that represents this situation. Use x as the variable.
Patrick's goal will reached by 30.7 hours
The inequality is 163 + (10x) > 470
How to write the inequalityLet's use x to represent the number of hours it will take to reach Patrick's goal.
First step: The total number of chandeliers made must be greater than 470.
163 + (10x) > 470
Second step: Solve for x by isolating it on one side of the inequality.
10x > 307
x > 30.7
Therefore, it will take more than 30.7 hours to reach Patrick's goal of making greater than 470 chandeliers.
The inequality can be written as: 163 + (10x) > 470
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Cell phone Plan A costs $70 per month and comes with a free $500 phone. Cell phone Plan B costs $50 per month but does not come with a phone. If you buy the $500 phone and choose Plan B, how many months is it until your cost is the same as Plan A's? Let m represent the monthly cost.
Solving a linear equation we can see that the answer is 40 months.
How many months is it until your cost is the same as Plan A's?We know that company A only charges $70 per month, so the cost in dollars after x months is given by the linear equation:
A(x) = 70*x
For company B you need to pay $50 per month plus the $500 phone, so here the cost is:
B(x) =500 + 50*x
We want to find for what value of x we have B(x) = A(x), then we needto solve:
70x = 500 + 50x
70x - 50x = 500
20x = 500
x = 500/20
x = 40
After 40 months the cost will be the same one than in company A.
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the probability that a person in the united states has type b* blood is 12%. four unrelated people in the united states are selected at random. complete parts (a) through (d).
The probabilities of different events related to the type B' blood in four randomly selected people from the United States are 0.000207, 0.0600, 0.400. The events in parts (a) and (b) are considered unusual.
The probability that a person in the united states has type b* blood is 12%. four unrelated people in the united states are selected at random of different scenarios are calculated.
The probability that all four have type B' blood is 0.000207, The probability that none of the four have type B' blood is 0.0600, The probability that at least one of the four has type B' blood is 0.400, The events in parts (a) and (b) can be considered unusual because their probabilities are less than or equal to 0.05.
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_____The given question is incomplete, the complete question is given below:
The probability that a person in the United States has type B' blood is 12 % Four unrelated people in the United States are selected at random Complete parts (a) through (d) The probability that all four have type B' blood is 000207 (Round to six decimal places as needed) (b) Find the probability that none of the four have type B' blood The probability that none of the four have type B' blood is 0600 (Round to three decimal places as needed) (c) Find the probability that at least one of the four has type B' blood The probability that at least one of the four has type B' blood is 400 (Round to three decimal places as needed) (d) Which of the events can be considered unusual? Explain Select all that apply OA The event in part (a) is unusual because its probability is less than or equal to 0.05 OB. The event in part (c) is unusual because its probability is less than or equal to 0.05 O C. None of these events are r uual O D. The event in part (b) is unusual because its probability is less than or equal to 0.05 Click to select your answer and then click Check Answer
if you have 20 meters of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose?
The largest area you can enclose with 20 meters of fencing against a long, straight wall is 50 square meters. Itcan be found using optimization methods.
Step 1: Define the variables
Let x be the length of the fencing parallel to the wall and y be the length of the fencing perpendicular to the wall.
Step 2: Set up the constraint equation
Since you have 20 meters of fencing, the sum of x and 2y (both sides perpendicular to the wall) should equal 20. The constraint equation is:x + 2y = 20
Step 3: Express one variable in terms of the other
Solve the constraint equation for one variable. In this case, solve for x: x = 20 - 2y
Step 4: Write the area function
The area of the rectangle can be expressed as A = xy. Substitute x from the previous step into this equation: A(y) = (20 - 2y)y.
Step 5: Find the critical points
Differentiate the area function with respect to y and set it to zero to find the critical points: dA/dy = 20 - 4y = 0, Solve for y:4y = 20, y = 5
Step 6: Find the corresponding value for x
Plug the value of y back into the equation for x: x = 20 - 2(5), x = 10
Step 7: Check for maximum area
The critical point we found (x=10, y=5) is indeed a maximum since the second derivative of the area function is negative.Step 8: State the largest area
The largest area you can enclose with 20 meters of fencing against a long, straight wall is A = xy = 10 * 5 = 50 square meters.
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the least common multiple of k and 720 is 3600. what is the sum of all positive integers k that satisfy this property?
The sum of all positive integers k that satisfy the property is 1800.
To find the sum of all positive integers k that satisfy the property of the least common multiple of k and 720 being 3600, we need to use the concept of prime factorization and LCM. What is LCM?The least common multiple (LCM) of a set of numbers is the smallest number that is a multiple of all the given numbers. It is calculated by taking the common prime factors of the numbers and multiplying them by their highest powers.
Now mentioned in the question that the LCM of k and 720 is 3600. Let's write 720 and 3600 in prime factorization form. 720 = 2⁴ × 3² × 5¹, 3600 = 2³ × 3² × 5²Let LCM of k and 720 be L. So, L = 2⁴ × 3² × 5²Let k = 2ᵃ × 3ᵇ × 5ᶜ. So, LCM of k and 720 = 2ⁿ × 3ᵐ × 5ᴬ, where, n = max (4, a) , m = max (2, b) , A = max (2, c)Given, LCM of k and 720 = 3600.So, 2ⁿ × 3ᵐ × 5ᴬ = 2⁴ × 3² × 5².
As we know, n = max (4, a) , m = max (2, b) , A = max (2, c)Thus, n = 4, m = 2, A = 2. Since, n = max (4, a) , a = 4 is the only possible solution And, m = max (2, b) , b = 2 is the only possible solution, And, A = max (2, c) , c = 2 is the only possible solution.So, the possible value of k is k = 2⁴ × 3² × 5²i.e. k = 1800. Sum of all possible values of k is 1800.Therefore, the sum of all positive integers k that satisfy the property is 1800.
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Gus built a wooden fence. He uses 18 nails for every 3 pieces of wood. If he uses the same amount of nails in each piece of wood, how many nails will he use for 249 pieces of wood? 1,494 nails 249 nails 747 nails 415 nails
The number of nails he will use for 249 pieces of wood will be 1494.
What is arithmetic?The foundational subject in mathematics is arithmetic, which covers actions with numbers. These include multiplication, division, addition, and subtraction. One of the key areas of mathematics, arithmetic serves as the cornerstone for students studying the topic of mathematics. Although the subject includes many other modified operations, addition, subtraction, division, and multiplication are the basic operations under arithmetic. Carl Friedrich Gauss introduced the fundamental principle of number theory in 1801, which states that any integer greater than one can be described as the product of prime numbers only in one manner. Number theory is also referred to as arithmetic. Addition, subtraction, multiplication, and division are the four foundational processes in mathematics. Here, a brief discussion of all these procedures is provided.
In this question, Gus uses 18 nails for every 3 pieces of wood.
therefore, for 1 piece of wood he uses= 6 nails.
Number of pieces of wood= 249
Number of nails used= 1494
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Valerie is a member of a movie club. She pays a fixed fee of $40 annually. She must pay $6 for every movie she rents. She rented 14 movies this year. What is the total amount that she paid this year
Valerie paid a total amount of $124 this year for her movie club membership and the 14 movies she rented.
What is total amount?In math, the total amount typically refers to the final sum or result of a calculation involving multiple numbers or quantities.
Valerie pays a fixed fee of $40 annually, and she rented 14 movies at a cost of $6 each. Thus, the total amount she paid this year can be calculated as follows:
Total cost of movie rentals = 14 x $6 = $84
Adding the fixed annual fee to the rental costs:
Total amount paid by Valerie this year = $40 + $84 = $124
Therefore, Valerie paid a total of $124 this year for her movie club membership and the 14 movies she rented.
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the support for a basketball hoop forms a right triangle as shown. what is the length, x, of the horizontal portion of the support?
According to Pythagorean Theorem, The length of the horizontal portion of the support, x, is 3.87 feet.
The length of the horizontal portion of the support, x, can be determined by using the Pythagorean Theorem. The Pythagorean Theorem states that a2 + b2 = c2, where a and b are the sides of a right triangle and c is the hypotenuse.
In this case, a = 7 feet, b = x, and c = 8 feet. We can use the Pythagorean Theorem to solve for x: 72 + x2 = 82, or 49 + x2 = 64. This can be solved for x to get x2 = 15 and x = √15 ≈ 3.87 feet.
Therefore, the length of the horizontal portion of the support, x, is 3.87 feet.
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Write a word sentence for the question
x - 14 = 52
Answer:
under quadratic equation of fatorisation
HELP ASAP!!!!!!!!!!!!
Which cannot be the angle measurements of triangle ABC?
Measure of angle A = 55 degrees, measure of angle B = 65 degrees, measure of angle C = 60 degrees
Measure of angle A = 60 degrees, measure of angle B = 60 degrees, measure of angle C = 60 degrees
Measure of angle A = 57 degrees, measure of angle B = 58 degrees, measure of angle C = 65 degrees
Measure of angle A = 61 degrees, measure of angle B = 57 degrees, measure of angle C = 61 degrees
Answer:
A=61
B=57
C=61
Step-by-step explanation:
The sun of the three angles must give us 180 degrees. so the sum of these three angles is giving us 179 wrong degrees.
Suppose records indicate that the length of voicemails (in seconds) between a group of friends is normally distributed with a mean of 40 seconds and standard deviation of 10 seconds. Find the probability that a given voicemail is between 10 to 20 or 30 to 40 seconds
Hence, there's a 36.41 percent chance that a voicemail will be between 10 and 20 or 30 and 40 seconds in length.
What are examples and probability?It is based on the possibility that something will actually happen. The basis for theoretical probability is the justification for probability. For example, the theoretical probability of getting a head when flipping a coin is ½.
Calculating the area underneath the normal curve of distribution between the two iterations will allow us to determine the likelihood that a specific voicemail will last between 10 and 20 or 30 and 40 seconds.
The intervals must first be standardized by transforming it into z-scores using following formula:
z = (x - μ) / σ
Where x is the value, we want to convert, μ is the mean of the distribution, and σ is the standard deviation.
For the period of 10 to 20 seconds:
z1 = (10 - 40) / 10 = -3
z2 = (20 - 40) / 10 = -2
For the interval 30 to 40 seconds:
z3 = (30 - 40) / 10 = -1
z4 = (40 - 40) / 10 = 0
The region of the curve between such z-scores can now be calculated or found using a calculator and a standard normally distributed table. As an alternative, we can employ the normal distribution's CDF, or cumulative distribution function.
P(10 ≤ x ≤ 20 or 30 ≤ x ≤ 40) = P(10 ≤ x ≤ 20) + P(30 ≤ x ≤ 40)
P(10 ≤ x ≤ 20) = P(-3 ≤ z ≤ -2) ≈ 0.0228
P(30 ≤ x ≤ 40) = P(-1 ≤ z ≤ 0) ≈ 0.3413
As a result, the likelihood that a voicemail will be between 10 and 20 or 30 and 40 seconds is:
P(10 ≤ x ≤ 20 or 30 ≤ x ≤ 40) ≈ 0.0228 + 0.3413 ≈ 0.3641
A voicemail that is between 10 and 20 or 30 to 40 seconds in length has a 36.41% chance of being left.
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About 32,000 people in a region with an area 201 square miles. Find the population density in a people per square mile.
The population density of the people living in the given square area would be = 159.20 persons pre square miles.
What is population density?Population density can be defined as the amount of people that can be found in a unit area of a land.
Population density is found by dividing the total population by the total land area.
The total population of the region = 32,000 people
The total land area = 201 miles².
Therefore the population desity = 32,000/201 = 159.20 persons pre square miles.
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a patient is purchasing acetaminophen 500 mg tablets over-the-counter and asks the pharmacist how many they can take. what is the maximum number of tablets the pharmacist will tell them they should take of this product per day?
8 is the maximum number of tablets the pharmacist will tell them they should take of this product per day.
According to FDA guidelines, the maximum daily dosage of acetaminophen for healthy adults should not exceed 4,000 milligrams. This equates to a maximum of eight 500 mg tablets per day. It's essential to remember that the recommended dosage may differ based on individual factors such as age, weight, and medical conditions. Therefore, it's crucial to consult with a healthcare provider or licensed pharmacist before taking any medication. Always follow the recommended dosage and avoid exceeding the daily limit to prevent potential health risks associated with acetaminophen overdose.
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Evaluate (2. 7)3 - (1. 6)3 - (1. 1)3 using a suitable identity. Please answer. Have to submit it tomorrow!!
Evaluating the (2.7)³ - (1.6)³ - (1.1)³ using the suitable identity is given by the term 26.19.
The sum of cubes (of two integers) formula is what is known as the a3 + b3 formula. Without computing the two cubes, the total may be calculated using the a cube + b cube formula. The binomials of cubes are factorised using it as well.
Let a = 2.7, b = 1.6, c = 1.1
We see that,
a + b + c = 2.7 + 1.6 + 1.1 = 5.4
Now as we know that,
If a+b+c = 5.4
then using the identity:
a³ - b³ - c³ = ( a+ b+ c ) (a² + b² + c² - ab - bc - ca) + 3 abc
so,
a³ - b³ - c³ = 5.4(2.7² + 1.6² + 1.1² - 4.32 - 1.76 - 2.97) + 14.256
= 5.4(7.29 + 2.56 + 1.41 - 4.32 - 1.76 - 2.97) + 14.256
a³ - b³ - c³ = 26.19
Therefore, (2.7)³ - (1.6)³ - (1.1)³ is 26.19
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Graph the circle x²+(y+6)²=4
Use the points to adjust the graph. Moving the center will move the entire figure.
By adding or removing numbers from the x and y coordinates, we can change the graph's orientation by moving the circle's center.
what is circle ?A circle in mathematics is a closed form in which every point is situated at an equal distance from the circle's center. The radius of the circle is the distance measured from any location on the circle to its center. The center and radius of a circle, as well as its equation in the coordinate plane, can be used to characterize it. The standard version of a circle's equation is (x - h)2 + (y - k)2 = r2, where (h, k) is the circle's center and r is its radius.
given
Using the methods below, we can graph the circle x2+(y+6)2=4:
Determine the circle's radius: Since r2 = 4 in the provided equation, r must equal 2.
Plotting locations on the circle can be done by using the equation x2+(y+6)2=4 and changing the value of x to find the value of y. As an illustration, if x = 0, we obtain (y+6)2 = 4, which gives us either y = -8 or y = -4. The points (0, -8) and (0, -4) can now be plotted on the coordinate surface.
Create a circle: Using the radius and center, we can create a circle that passes through the plotted coordinates (0, -8) and (0, -4).
By adding or removing numbers from the x and y coordinates, we can change the graph's orientation by moving the circle's center.
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a quiz consists of three true or false questions. what is the probability that there are exactly two true answers?
The probability of getting exactly two true answers in a quiz that consists of three true or false questions is 3/8 or 0.375. Here's how to get the answer:
There are three possible scenarios where you can get exactly two true answers: T T F, T F T, F T T
To calculate the probability of each scenario, you need to know the probability of getting a true answer (T) or a false answer (F). Since each question is independent, the probability of getting a true or false answer is 0.5.
Scenario 1: T T F,The probability of getting two true answers and one false answer is: P(T T F) = 0.5 x 0.5 x 0.5 = 0.125
Scenario 2: T F T,The probability of getting one true answer and two false answers is:P(T F T) = 0.5 x 0.5 x 0.5 = 0.125
Scenario 3: F T T,The probability of getting one false answer and two true answers is:P(F T T) = 0.5 x 0.5 x 0.5 = 0.125
To get the probability of getting exactly two true answers, you need to add the probabilities of the three scenarios:P(2 True Answers) = P(T T F) + P(T F T) + P(F T T) = 0.125 + 0.125 + 0.125 = 0.375.Therefore, the probability of getting exactly two true answers in a quiz that consists of three true or false questions is 3/8 or 0.375.
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It is advertised that the average braking distance for a small car traveling at 70 miles per hour equals 120 feet. A transportation researcher wants to determine if the statement made in the advertisement is false. She randomly test drives 38 small cars at 70 miles per hour and records the braking distance. The sample average braking distance is computed as 112 feet. Assume that the population standard deviation is 25 feet. (You may find it useful to reference the appropriate table: z table or t table)
a. State the null and the alternative hypotheses for the test. H0: μ = 120; HA: μ ≠ 120 H0: μ ≥ 120; HA: μ < 120 H0: μ ≤ 120; HA: μ > 120
b. Calculate the value of the test statistic and the p-value. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)
Find the p-value. 0.05 p-value < 0.10 p-value 0.10 p-value < 0.01 0.01 p-value < 0.025 0.025 p-value < 0.05
c. Use α = 0.01 to determine if the average breaking distance differs from 120 feet.
With a p-value of less than 0.025, we have sufficient evidence to reject the null hypothesis and conclude that the average breaking distance is different from 120 feet, at the 0.01 significance level.
The p-value is a statistical measure that helps us determine the probability of obtaining a result as extreme as the one we observed, assuming that the null hypothesis is true.
In this case, the null hypothesis is that the average breaking distance is 120 feet. The alternative hypothesis is that the average breaking distance is different from 120 feet.
If the p-value is less than the level of significance (0.01 in this case), we can reject the null hypothesis in favor of the alternative hypothesis.
A p-value of less than 0.025 indicates that the probability of obtaining a result as extreme as the one we observed (or more extreme), assuming that the null hypothesis is true, is less than 0.025.
This is a relatively small probability, which provides strong evidence against the null hypothesis. Therefore, we can conclude that the average breaking distance is different from 120 feet.
It is important to note that rejecting the null hypothesis does not necessarily mean that the alternative hypothesis is true.
It simply means that the evidence suggests that the null hypothesis is unlikely to be true. Further research and analysis may be needed to confirm the alternative hypothesis.
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Nhan is getting dressed. He considers two different shirts, three pairs of pants, and three pairs of shoes. He chooses one of each of the articles at random. What is the probability that he will wear his jeans but not his sneakers?
Shirt
Pants
Shoes
collared
khakis
sneakers
T-shirt
jeans
flip-flops
shorts
sandals
when individuals are classified into qualitatively different categories, which level of measurement is this?\
When individuals are classified into qualitatively different categories, this is an example of nominal level of measurement.
Nominal level of measurement is the lowest level of measurement in which variables are measured by naming, labeling or categorizing them into different groups without any inherent order or ranking.
Nominal data involves variables that are categorical in nature and cannot be numerically ranked. Examples of nominal variables include gender, race, ethnicity, hair color, eye color, and so on. These variables can be classified into different categories, but they cannot be arranged in any meaningful order or assigned numerical values.
Nominal data is important in many fields, including social sciences, health research, and market research. It allows for the classification of data into different categories or groups based on certain characteristics, which can then be used to analyze patterns and trends.
However, because nominal data cannot be measured in numerical terms, certain statistical analyses, such as mean and standard deviation, are not applicable. Instead, nominal data is often analyzed using measures of frequency, such as percentages and proportions.
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PLS HELP! WILL MAKE U BRAINLIST!
Find the point of intersection using substitution. DO NOT USE ANOTHER METHOD. Show all your thinking.
Answer:
(-2,-3)
Step-by-step explanation:
3x+y=-9
-3x -3x
y=-3x-9
5x-3(-3x-9)=-1
14x+ 27= -1
-27 -27
14x= -28
/14 /14
x=-2
plug in x
3(-2)+y=-9
-6+y=-9
+6 +6
y=-3
What is the median for 5, 7, 24, 3, 6, 4, 4, 30, 19
There is only one middle number because the collection has an odd number of numbers. Since six is the midpoint, six represents the median.
what is median ?When a dataset is sorted from lowest to highest, the median, a measure of central tendency, reflects the midpoint value of the dataset. The values are first presented from lowest to greatest in order to get the median of a set of data. The median is the middle value when there are an odd number of values. Use the following data set as an example: 5, 7, 24, 3, 6, 4, 4, 30, 19. We first organise the data in order before calculating the median: 3, 4, 4, 5, 6, 7, 19, 24, 30
The dataset contains 9 values, which is strange. The middle value, which is six, is therefore the median.
given
We must first arrange the numbers in ascending order in order to determine the median of the group:
3, 4, 4, 5, 6, 7, 19, 24, 30
The median will be the middle number as there are nine numbers in this collection.
There is only one middle number because the collection has an odd number of numbers. Since six is the midpoint, six represents the median.
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I need help asap pls!!
Answer:
First, we need to calculate the daily interest rate on the credit card. We can do this by dividing the annual percentage rate (APR) by the number of days in a year:
Daily interest rate = APR / 365
Daily interest rate = 0.2445 / 365
Daily interest rate = 0.00067 or 0.067%
Next, we can calculate the interest that will accrue over the course of one month, which is approximately 30 days:
Interest = Balance * Daily interest rate * Number of days
Interest = $1,359 * 0.00067 * 30
Interest = $27.42
Adding the interest to the outstanding balance, we get:
Balance after one month = $1,359 + $27.42
Balance after one month = $1,386.42
Therefore, the balance on the credit card after one month will be approximately $1,386.42.
if y = 2, then -3y(1-5)
[tex] \: [/tex]
Solution:-[tex] \rm{-3y( 1 - 5)}[/tex][tex] \: [/tex]
put the value of y = 2 in equation
[tex] \rm \: -3( 2 ) ( 1 - 5 )[/tex][tex] \: [/tex]
[tex] \rm \: -6 ( 1 - 5 )[/tex][tex] \: [/tex]
[tex] \rm \: -6 - 5[/tex][tex] \: [/tex]
[tex] \underline{ \rm{ \red{ \: \: -11 \: \: }}}[/tex][tex] \: [/tex]
━━━━━━━━━━━━━━━━━━━━━━━
hope it helps ⸙
what is the answer for 239.3 x 55
Answer:
13,161.5
Step-by-step explanation:
5x3= 15 then go over and carry the one then do 5x9= 45+1= 46 then go over to 3 and carry the four and 5x3= 15+4= 19 put 9 down and carry the one then 5x3= 10+1= 11 after x the 0 the repeat what you did and add up the final numbers so 239.5x 55= 13161.5
the 98.4% confidence interval for snapdragons grown in compost is (20.91, 38.43). what is the margin of error of this confidence interval?
The margin of error of the 98.4% confidence interval for snapdragons is 3.71.
The midpoint of the range is calculated by adding the upper and lower bounds and then dividing by two. So, the sample mean is `(20.91 + 38.43) / 2 = 29.67`.
The margin of error is calculated by multiplying the critical value of z* (1.96 for a 98.4% confidence level) by the standard error of the mean. The formula for calculating the margin of error is:
`Margin of error z*(standard deviation/√n`).
The formula is `range/4 = 1.96 * standard deviation/√n`.Now, solve for the standard deviation:
`standard deviation = (range/4) * √n / 1.96`
Substituting the values: `(38.43 - 20.91)/4 = 1.96 * standard deviation/√n`
Simplifying the equation: `4.26 = (1.96*standard deviation)/√n`
Squaring both sides: `4.26^2 = 3.8416 = (1.96^2 * standard deviation^2)/n`
Substituting the value of the standard deviation: `3.8416 = (1.96^2 * ((38.43 - 20.91)/4)^2) / n`
Solving for n: `n = ((1.96^2 * ((38.43 - 20.91)/4)^2) / 3.8416) = 31.54`
Now that we know the sample size, we can calculate the standard error of the mean:
`standard error = standard deviation/√n = ((38.43 - 20.91)/4)/√31.54 = 1.89`.
The margin of error is `1.96 * 1.89 = 3.71`.
The 98.4% confidence interval for snapdragons grown in compost is (20.91, 38.43). The margin of error of this confidence interval is 3.71.
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