Final answer:
Using the hypergeometric distribution, the probability that exactly 2 out of 10 TVs randomly chosen from a shipment of 20 are defective is approximately 34.81%.
Explanation:
To find the probability that exactly 2 out of 10 randomly chosen TVs are defective, we can use the hypergeometric distribution. This distribution applies because we are dealing with a scenario where we have a finite population (20 TVs) and a non-replacement condition (once a TV is chosen for inspection, it is not put back).
The probability formula for the hypergeometric distribution is:
P(X = k) = [(C(g, k) * C(N-g, n-k)) / C(N, n)]
Where:
C(a, b) is the combination of a items taken b at a time.N is the total number of items in the population (20 TVs).g is the number of defective items in the population (5 defective TVs).n is the number of items chosen (10 TVs inspected).k is the number of defective items we're interested in finding within the chosen items (2 defective TVs).Plugging the numbers into the formula, we have:
P(X = 2) = [(C(5, 2) * C(15, 8)) / C(20, 10)]
P(X = 2) = [(10 * 6435) / 184756]
P(X = 2) = [64350 / 184756] ≈ 0.3481
So, the probability that exactly 2 out of 10 TVs inspected will be defective is approximately 0.3481 or 34.81%.
Compare the decimals 1,825.10 and 1,825.1. Which is correct? A. 1,825.10 > 1,825.1 B. 1,825.10 < 1,825.1 C. 1,825.10 = 1,825.1
The price of milk is believed to increase by 54% over the next 3 years. If 2 gallons of milk costs $2.50 now, what will the price be in 3 years after the increase?
Final answer:
To find the future price of milk after a 54% increase, multiply the current price by 1.54. For 2 gallons of milk costing $2.50 now, the future price will be $3.85.
Explanation:
To calculate the future price of milk after a 54% increase over 3 years, we first need to determine the percentage increase in decimal form and then apply it to the current price. An increase of 54% is equivalent to a multiplier of 1.54 in decimal form.
Therefore, if 2 gallons of milk currently cost $2.50, we calculate the future cost by multiplying $2.50 by 1.54.
Here's the calculation:
Convert the percentage increase to a decimal: 54% = 0.54.
Add 1 to the decimal to account for the total value after the increase: 1 + 0.54 = 1.54.
Multiply the current price of 2 gallons of milk by the increase factor: $2.50 x 1.54 = $3.85.
After a 54% increase, the price for 2 gallons of milk will be $3.85.
175% of 54 is .
What is the answer to the equations
Larry use a pattern of colors to make a Q train he use a regular a blue cube a Red Cube and another Red Cube before he start the pattern again he use 15 cubes how many red cubes are Larry use
Convert y=2/3x-17 to standard form
Help ASAP please!! I will mark the smartest!
Andrew earns an allowance of $14 the first week, $17 the next week, $20 the following week, and so on.
How much will Andrew earn over the course of 10 weeks?
what is the reciprocal
In order to find the reciprocal of a number, we should just flop it over.
If we're asked to find the reciprocal of a fraction, then the numerator & denominator of the fraction switch places.
If we're asked to find the reciprocal of an expression, then we also flop it over, like so:-
[tex]\pmb{u^2-s^2}\longmapsto\pmb{\displaystyle\frac{u^2-s^2}{1} }\longmapsto\pmb{\displaystyle\frac{1}{u^2-s^2} }[/tex]
Explanation of steps:-
First, I turned the expression into a fraction by adding a denominator of 1.
Then, I flopped it over and found the reciprocal.
Hence, the reciprocal of u²-s² is:-
[tex]\bigstar{\boxed{\pmb{\displaystyle\frac{1}{u^2s^2} }}}[/tex]
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
The equation d = can be used to calculate the density, d, of an object with mass, m, and volume, V. Which is an equivalent equation solved for V?
The equation [tex]d=(m)/(V)[/tex] can be used to calculate the density, [tex]d[/tex], of an object with mass, [tex]m[/tex], and volume, [tex]V[/tex]. [tex](m)/(d)=V[/tex] is an equivalent equation solved for [tex]V[/tex].
To find the equation equivalent to [tex]d= m/V[/tex] solved for [tex]V[/tex], we need to isolate [tex]V[/tex]on one side of the equation.
Given the equation [tex]d= m/V,[/tex] where [tex]d[/tex] represents density, [tex]m[/tex] represents mass, and [tex]V[/tex] represents volume.
To solve for [tex]V[/tex] , we can rearrange the equation:
[tex]d= m/V[/tex]
First, let's get rid of the fraction by multiplying both sides by [tex]V[/tex]:
[tex]d*V=m[/tex]
Now, to isolate [tex]V[/tex], we need to divide both sides by [tex]d[/tex]:
[tex]V= m/d[/tex]
So, the equivalent equation solved for [tex]V[/tex] is:
[tex]V= m/d[/tex]
This corresponds to option C: [tex]m/d=V.[/tex]
COMPLETE QUESTION:
The equation [tex]d=(m)/(V)[/tex] can be used to calculate the density, [tex]d[/tex], of an object with mass, [tex]m[/tex], and volume, [tex]V[/tex]. Which is an equivalent equation solved for [tex]V[/tex]?
A. [tex]dm=V[/tex]
B. [tex](d)/(m)=V[/tex]
C. [tex](m)/(d)=V[/tex]
D. [tex]m-d=V[/tex]
Sam can plant 261 cabbage plants in 1 row of his garden . How many rows in his garden must be used to plant 1044 plants
What is the equation for the line of curve of best fit for the following data?
{(4, 32), (20, 808), (17, 662), (8, 125), (13, 307)}
Option 1. y = -240x + 50.5
Option 2. y = 50.5x - 240
Option 3. y = 2.2x^2 - 1.6x - 1.6
Option 4. y = -0.08x^4 + 3.7x^3 - 56.6x^2 + 361.5x - 726.9
Find two different sets of parametric equations for the given rectangular equation (there are many correct solutions) x^2+4y^2 - 16=0
Experts/ace/geniuses helpp
Whole numbers are written on cards and then placed in a bag. Tyra selects a single card, writes down the number, and then places it back in the bag. She repeats this 62 times. Tyra calculates the relative frequency of each number card. Outcome 1 2 3 4 5 Relative Frequency 0.19 0.20 0.21 0.19 0.21 Which statement about Tyra's experiment is true? The outcomes do not appear to be equally likely, so a uniform probability model is a good model to represent the probabilities in Tyra's experiment. The outcomes do not appear to be equally likely, so a uniform probability model is not good model to represent the probabilities in Tyra's experiment. The outcomes appear to be equally likely, so a uniform probability model is a good model to represent the probabilities in Tyra's experiment. The outcomes appear to be equally likely, so a uniform probability model is not a good model to represent the probabilities in Tyra's experiment. will give BRAINLIEST
Answer: The outcomes appear to be equally likely, so a uniform probability model is a good model to represent the probabilities in Tyra's experiment.
Step-by-step explanation: Probability model, also known as Probability distribution, is a mathematical function that shows the probability of any outcome to occur in an experiment. When those probabilities of occurence are the same for all possible outcomes, it is a uniform probability distribution.
For example, if you roll a fair dice, the probability of having the number 1 is 1/6; for 2 is also 1/6 and etc,
In Tyra's experiment, when the calculates the frequency of each number card, the values are closer together. This means that the probability of taking a card with number 1 written on it is almost the same as taking a card with number 2 and so. In conclusion, Tyra's experiment is au uniform probability model.
The statement about Tyra's experiment is:The outcomes do not appear to be equally likely, so a uniform probability model is not a good model to represent the probabilities in Tyra's experiment.
In probability theory, a uniform probability model is one in which all outcomes in the sample space are equally likely to occur. This means that if there are n possible outcomes, the probability of each outcome is [tex]\( \frac{1}{n} \)[/tex].
In Tyra's experiment, she drew a card from a bag, recorded the number, and then replaced it before drawing again. This process is repeated 62 times, and she calculates the relative frequency of each number card. The relative frequency is the ratio of the number of times a particular outcome occurs to the total number of trials.
The given relative frequencies for outcomes 1 through 5 are as follows:
Outcome 1: 0.19Outcome 2: 0.20Outcome 3: 0.21Outcome 4: 0.19Outcome 5: 0.21If the outcomes were equally likely, we would expect the relative frequencies to be the same for all outcomes, especially after a large number of trials like 62. However, the relative frequencies vary from 0.19 to 0.21, indicating that some outcomes are occurring more frequently than others.
Since the relative frequencies are not the same for all outcomes, we can conclude that the outcomes do not appear to be equally likely. Therefore, a uniform probability model, which assumes equal likelihood for all outcomes, would not be a good fit for Tyra's experiment. Instead, the probabilities in Tyra's experiment seem to be non-uniform, and a different probability model that accounts for the varying likelihoods of the outcomes would be more appropriate.
grandma baked cookies, she gave 7 to Sandy . she gave half of what was left plus 1 to sue. she gave 3 to Stan. then she gave half of what was left to Steve. since there was only 2 left she ate them herself. how many cookies did ahe bake?
rihanna has a spinner, which is divided into four equal parts. the parts are numbered 1, 2, 3, and 4. if rihanna spins the spinner and tosses a coin, which table shows all the possible outcomes
Total parts in which a spinner is divided = 4
Each part is named as 1,2,3,4.→Total possible outcome when spinner gets in the motion.
When we toss a coin , total possible outcome = {H,T}
So, all the possible outcome when Rihana spins the spinner and tosses a coin = {H 1 , H 2, H 3 , H 4, T 1, T 2, T 3, T 4}=8
Answer:
that it c and it was is
Please help me god bless you.
Lynn and dawn tossed a coin 60 times and got heads 33 times. What is the experimental probability of tossing heads using Lynn and dawn's results?
This figure is a step in which construction?
A. a line parallel to <-AB-> through point P.
B. a line perpendicular to <-AB-> through point P.
Option: B is the correct answer.
B. a line perpendicular to <-AB-> through point P.
Step-by-step explanation:We know that a line perpendicular to a given line is constructed as follows:
1) Draw a line segment AB
2) Take a span of compass more than half the length of AB and keep the point of compass first at A and then at B to make a arc above AB.
3) Draw a straight line that passes through the intersection of arc and line AB such that it meets AB at point P which will act as a midpoint of line AB.
Hence, the correct option is:
Option: B
A rope of length 2/5 m is cut into 4 equal cords. What is the length of each cord?
Which of the following is not a benefit of contributing to a retirement account? A. No need to pay taxes
B. Reduction in taxable income
C. Employer matching
D. Contributions earning interest once deposited
Answer:
option A is correct, i.e. "No need to pay taxes" is not a benefit of contributing to a retirement account.
Step-by-step explanation:
Retirement Accounts are suitable for getting regular income after retirement age. It helps in accumulating wealth for retirement by contributing small amounts in regular interval during employment. Its features are reduction in taxable income, employer matching, and contributions earning interest once deposited. Still there are some chances to pay taxes as per relevant income slabs.
Hence, option A is correct, i.e. "No need to pay taxes" is not a benefit of contributing to a retirement account.
The correct answer is A. No need to pay taxes is not a benefit of contributing to a retirement account.
Let's examine each option to understand why option A is the correct
A. No need to pay taxes: This statement is not entirely accurate. While some retirement accounts, like Traditional IRAs or 401(k)s, allow for tax-deferred contributions (meaning contributions are made with pre-tax dollars, which can lower your current taxable income), taxes are still due upon withdrawal in retirement. Roth IRAs, on the other hand, are funded with after-tax dollars, meaning there's no tax benefit upfront, but qualified withdrawals in retirement are tax-free. Therefore, the statement No need to pay taxes is misleading because taxes are either paid upfront or upon withdrawal, depending on the type of retirement account.
B. Reduction in taxable income: This is a benefit of contributing to certain types of retirement accounts, such as Traditional IRAs and 401(k)s. Contributions to these accounts are made with pre-tax dollars, which can reduce your taxable income for the year in which you contribute.
C. Employer matching: Many employers offer a matching contribution to employees who contribute to a retirement account, such as a 401(k). This is essentially free money and can significantly boost your retirement savings.
D. Contributions earning interest once deposited: Retirement accounts typically invest your contributions in various financial instruments, such as stocks, bonds, or mutual funds, which can earn interest, dividends, or capital gains over time. This compounding of returns is a key benefit of contributing to a retirement account, as it can lead to substantial growth of your savings over the long term.
1410+0515 in milartary time
The city of austin can buy roads or light rail. if 10 miles of roads cost $1 million and 2 miles of light rail cost $10 million, what is the city's opportunity cost of 1000 miles of roads?
a. $1,000 million
b. 200 miles of light rail
c. 2 miles of light rail
d. $100 million
e. $50 million
Which exponential equation is equivalent to the logarithmic equation below? c = ln 2
e^c=2
Step-by-step explanation:
Two angle add up to be complementary if one angle is 15 degree more than 2 times the other find the value of the smaller side
In a taxi, there is a pregnant lady that's 25 years old.An elder that's 76 years old. The taxi driver who's 34 years old. Who is the youngest?
ABC undergoes a dilation, with a scale factor of 6, to form A’B’C’
Side A’B’ is 6 times the length of slide AB
what is the area of A’B’C, compared to the area of ABC?
A rectangle has dimensions 10 cm by 6 cm. determine the measures of the angles at the point of where the diagonals intersect
2 groups of students were acts how many hours they spent reading each day the table below shows the numbers for each group