The expected value of the number of tosses is given by:E(X) = E(X) = 1/pq.PMF is (1 - p)(1 - q)^(n-1) for n ≥ 1
We can calculate the expected value of the number of tosses by taking the summation of the PMF from k=1 to k=∞ multiplied by k. The PMF for the number of tosses is given by P(X=k)=(1−p(1−q)−q(1−p))k−1(p(1−q)+q(1−p)). We can then use this to calculate the expected value as (1-p(1-q)-q(1-p))/[p(1-q)+q(1-p)]. For the variance, we can use the formula Var(X) = E(X2) - E(X)2. We can calculate the E(X2) part using the same PMF multiplied by k2 and then subtract the expected value squared from it. The final result is (1-p(1-q)-q(1-p))/[(p(1-q)+q(1-p))^2].
PMF:
Let X be the number of tosses
P(X = n) = (1 - p)(1 - q)^(n-1) for n ≥ 1
Expected Value:
E(X) = 1/pq
Variance:
Var(X) = (1 - pq)/(pq)^2
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2) If you wish to save up $220,000 using an annuity, what monthly payment is required into the
annuity if the annuity has an APR of 8.0% compounded annually and you wish to reach your
savings goal in 30 years?
Answer:
$936.91
Step-by-step explanation:
To find the monthly payment required to save up $220,000 using an annuity with an APR of 8.0% compounded annually over 30 years, we can use the following formula:
payment = (goal * rate) / (1 - (1 + rate) ^-n)
In this formula, "goal" is the savings goal, "rate" is the monthly interest rate, and "n" is the number of payments.
To find the monthly payment, we need to first convert the annual interest rate to a monthly rate by dividing it by 12:
rate = 8.0% / 12 = 0.0067
Next, we need to find the number of payments by multiplying the number of years by the number of payments per year:
n = 30 years * 12 payments/year = 360 payments
Substituting these values into the formula, we get:
payment = (goal * rate) / (1 - (1 + rate)^-n)
= (220,000 * 0.0067) / (1 - (1 + 0.0067)^-360)
= $936.91
The monthly payment required to save up $220,000 using an annuity with an APR of 8.0% compounded annually over 30 years is $936.91.
a positive radial velocity means the object is moving [x] the observer, while a negative velocity means the object is moving [y] the observer.
a positive radial velocity means the object is moving [x] the observer, while a negative velocity means the object is moving [y] the observer ,x away from, y towards
Radial velocity is the velocity of an object in the direction of an observer. A positive radial velocity means the object is moving away from the observer, while a negative velocity means the object is moving towards the observer.Radial velocity is the speed of an object in a particular direction, as observed from an observer. It is measured in the direction towards or away from the observer. A positive radial velocity means the object is moving away from the observer, in a direction radially outward from the observer. A negative radial velocity means the object is moving towards the observer, in a direction radially inward from the observer.
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47. Find the value of x
An airplane flying at a given altitude begins its descent directly above a ground marker that is 20.42 miles from the runway. If the glide angle of the airplane to the ground is 30 degrees, how far did the airliner travel in the air from the point of descent until the plane touched ground? Round your answer to the nearest tenth mile.
Answer:
40.8 miles.
Step-by-step explanation:
To solve this problem, we need to know the distance that the airplane traveled in the air from the point of descent until it touched the ground. This distance is determined by the glide angle and the altitude of the airplane.
In general, the distance traveled in the air is equal to the altitude of the airplane divided by the sine of the glide angle. In this case, we are given the altitude and the glide angle, so we can calculate the distance traveled in the air as follows:
Distance = Altitude / sin(glide angle)
Plugging in the values from the problem, we have:
Distance = 20.42 miles / sin(30 degrees)
The sine of 30 degrees is 0.5, so the distance traveled in the air is:
Distance = 20.42 miles / 0.5
This simplifies to:
Distance = 40.84 miles
Rounded to the nearest tenth mile, the distance traveled in the air is 40.8 miles. This is the answer to the problem.
Which expression is equivalent to 8x-2y+x+x
A) 4x
B 8x
c) 6x-2y
D) 10x - 2y
Please help will give brainlest!!!
Answer: D
8x + 1x + 1 x - 2y
400 mg is equal to how many grams
An actuary is studying hurricane models. A year is classified as a high, medium, or low hurricane year with probabilities 0.1, 0.3, and 0.6, respectively. The numbers of hurricanes in high, medium, and low years follow Poisson distributions with means 20, 15, and 10, respectively. Calculate the variance of the number of hurricanes in a randomly selected year
The variance of the number of hurricanes in a randomly selected year is 12.5 .
Mean number of hurricanes in a randomly selected year =
0.1 × 20 + 0.3 × 15 + 0.6 × 10 = 12.5
Now, since the sum of independent Poisson random variables also follows Poisson distribution.
Thus, the variance of the number of hurricanes in a randomly selected year = Mean = 12.5
In both statistics and probability theory, variance is the predicted squared deviation of a binomial distribution from its sample proportion or sample mean.
Dispersion, or how far apart from the mean a set of data are from one another, is measured by variance. A few ideas that involve variance are descriptive research, statistical inference, testing hypotheses, goodness of fit, and Monte Carlo sampling.
The variance of a set of uncorrelated explanatory variables is equal to the sum of their variances, making it easier to manipulate mathematically than other measures of dispersion like anticipated absolute deviation.
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a psychologist selects a random sample of 25 handicapped students and measures their manual dexterity scores. she uses this data to test the hypothesis that the mean dexterity score is different than 45.
A psychologist selects a random sample of 25 handicapped students and measures their manual dexterity scores, then if she wants to improve her precision she should use a larger sample size.
Each sample has an equal chance of being chosen as part of the sampling procedure known as random sampling. A randomly selected sample is intended to be a fair reflection of the entire population. By increasing sample size, you can improve the accuracy of your estimates, which means that the result will be more "statistically significant" for any given estimate or size of effect. The accuracy of the average results will increase with sample quantity. Smaller error margins and the identification of outliers in the data are two further benefits of larger sample sizes.
If they observe an effect that is almost significant, some researchers decide to increase their sample size. This is done rather than concluding that there is no effect because the researcher believes he is short on samples. Because the standard error is reduced as sample size increases, confidence intervals are narrower. c) The statement "there is a 95% likelihood that the population mean is between 350 and 400" is similar to the statement "there is a 95% confidence interval for the population mean is (350, 400)".
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Correct Question:
A psychologist selects a random sample of 25 handicapped students and measures their manual dexterity scores. she uses this data to test the hypothesis that the mean dexterity score is different than 45. What would you advise her?
12. Find the LCD: 27, 54, 9, 108
A. 6
B. 108
C. 27
D. 18
The LCD of the given number set is; B: 108
How to find the Lowest common denominator?
The least common denominator (LCD) is defined as the smallest number that is a common denominator for a given set of fractions or numbers.
Now, we are given the number set as;
27, 54, 9, 108
Let us break down these into their respective products in terms of the prime numbers to get;
27 = 3 * 3 * 3
54 = 2 * 3 * 3 * 3
9 = 3 * 3
108 = 3 * 3 * 3 * 2 * 2
Thus, the LCD = 3 * 3 * 3 * 2 * 2 = 108
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According to the graph of H(w) below, what happens when the width
approaches zero?
Height
25-
(4,25)
(5,20)
(10,10)
(20,5)
25
Width
50
OA. The height gets very large.
OB. The height equals zero.
OC. The height approaches a horizontal asymptote.
OD. The height gets very small.
As per the graph of H(w) when w draws near to no the worth of H(w) gets extremely high.
Explain bit about graph of the function?The graph of a function f is the arrangement of all places in the plane of the structure (x, f(x)). We could likewise characterize the diagram of f to be the chart of the situation y = f(x). In this way, the chart of a capability if an exceptional instance of the diagram of a situation.
According to question:Think about the gave diagram of H(w)
If we observer the diagram of the function H(w) we reasoned that as the worth of w pushes toward 0 the worth of H(w) increments quickly.
The worth of H(W) is getting increasingly high when we are moving towards 0.
So, we can say that
When W → 0, H(w) → ∞
Thus, As per the chart of H(w) when w draws near to no the worth of H(w) gets extremely enormous.
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refers to meeting the needs of the present generation without compromising the ability of future generations to meet their own needs
The term that refers to meeting the needs of the present generation without compromising the ability of future generations has been sustainability.
¿What is sustainability?This has been a development that focuses on meeting the needs that arise today without compromising the resources of the following generations.
Sustainability is of paramount importance because:
It enables and contributes to economic growth. Contribute to environmental care and conservation.¡Hope this helped!
Jesse takes two data points from the weight and feed cost data set to calculate a slope, or average rate of change. A ferret weighs 2.1 pounds and costs $3.40 per week to feed, while a Labrador Retriever weighs 70 pounds and costs $7.50 per week to feed. Using weight as the explanatory variable, what is the slope of the line between these two points? Answer choices are rounded to the nearest hundredth.
$.06 / lb.
$16.56 / lb.
$1.73 / lb.
$1.62 / lb.
The slope of the line between these two points is $.06 / lb which is defined as the ratio of vertical extrade among points, the rise, to the horizontal extrade.
The slope is described because the ratio of the vertical extrade among points, the rise, to the horizontal extrade among the equal points, the run. . A slope with a extra absolute price shows a steeper line. The course of a line is both increasing, decreasing, horizontal or vertical. If a line is horizontal the slope is zero.
Let X1 = 2.1 pounds, Y1 = $3.4 and
X2 = 70 pounds, Y2 = $7.5
ΔX = 70 - 2.1 = 67.9
ΔY = 7.5 - 3.4 = 4.1
Slope (m) = ΔY / ΔX
= 4.1 / 67.9
= 0.060382916053019
= 0.06 (Rounded)
Therefore, answer is Option $.06 / lb.
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Jose drove a total distance of 72,230.4 yd on a race track. He drove 12 laps where each lap was the same length. What was the length of each lap? Write your answer in miles.
Answer:6019.2
Step-by-step explanation: what you want to do is divide 72,230.4 by 12 and you'll get 6019.2
price was $80 yesterday and $104 today whats the percentage increase
Answer:
30%
Step-by-step explanation:
The price of the item increased by $24 from yesterday to today, which represents a 30% increase. To calculate this, divide the increase in price by the original price and multiply the result by 100%:
$24 / $80 x 100% = 30%
Therefore, the percentage increase in the price of the item from yesterday to today is 30%.
which of the following initial values of the variable y would result in the variable z being set to 2 after the code segment is executed?
When the following code section runs, the value of the variable y will be -2.
Given that,
We have to find when the following code section runs, what value will the variable y have? Assume the following input values:
The code mentioned above is explained in the section below.
Here, x=5, n=0, and the input values are 1–6.
So, x>3 is true.
Control will go to second if block and input y and z.
Now y=1 and z=2 and n=1
Next control goes to if(x) since x>0 which is true.
Now z=3 and x=4 and y=0 and n=0
Her n==0 so r=z- ++x => 3- (5) =>-2.
Hence r=-2
Therefore, the variable r=-2 is the output for the code.
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What activities in your municipality do you think produce these gases?
Some activities carried out in my municipality that produce greenhouse gases are:
The cattle industry Transport in specific contextsAnalysis of activities that produce greenhouse gasesThere are many activities that produce these types of gases, some are:
The cattle industry: methane is produced in this industry, which is a potent greenhouse gas.Transport: driving different types of vehicles produces greenhouse gases, for example, CO₂ (carbon dioxide).¡Hope this helped!
Atoms of element B from HCP lattice and those of the element A occupy 2/3 rd of tetrahedral voids. What is the formula of the compound formed by the elements A and B?
In a hexagonal-close-pack (HCP) unit cell, the ratio of lattice points to octahedral holes to tetrahedral holes = 1 : 1 : 2 is AB3
let the :
Number of lattice point = 1x.
Number of octahedral points = 1x
Number of tetrahedral points = 2x
If anions occupy the HCP lattice points and cations occupy half of the octahedral holes.
Number of anions occupying the HCP lattice points, A= 1x
Number of cations occupying the octahedral points, B = 1x
The formula of the compound will be =
If anions occupy the HCP lattice points and cations occupy all of the octahedral and the tetrahedral holes.
Number of anions occupying the HCP lattice points, A= 1x
Number of cations occupying the octahedral points, B = x
Number of cations occupying the tetrahedral points, B = 2x
total number of cations = x + 2x = 3x
The formula of the compound will be = AB3
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The multiple instruments on the spacecraft-Cassini observed a giant storm erupted in December 2010 on Saturn. Which one of the following descriptions is NOT correct for the giant storm?
A. The storm developed in the northern hemisphere.
B. Lightning was not detected in the giant storm.
C. The storm generated very bright clouds on Saturn.
D. The storm affected the radiant energy budget of Saturn
The correct answer is option B.
The observation of a giant storm on Saturn from spacecraft Cassini indicates that lightning was not detected in the giant storm.
Usually Mega storms on Saturn happen on every 20 to 30 years.
Through the Cassini spacecraft, scientists could see a massive storm in December 2010. They saw that the storm waves were spreading from the planet's centre and that it was seen as a ringed globe.
The storm waves covered the whole surface of Saturn and had a diameter of around 190,000 miles or 300,000 kilometres.
Simply said, this enormous storm is also known as the Great Northern Storm or the Great White Spot.
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state the distinct ways the number 910 can be written as a product of two positive integer factors. (enter your answer as a comma-separated list of products.)
Here are different ways to express 910 as the product of two positive integer coefficients:
1 x 910, 2x455, 5x182, 10x91, 13x70, 15x61, 26x35, 30x31
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for which value(s) of x does f(x)=-10
Answer:
answer on the picture.........
Please Help!
You are at a fundraising carnival. You want to play one game and you've narrowed it down to two options, as follows:
OPTION 1: Choose a face card (K, Q, J) from a deck of cards. Then, spin an odd number on an 11-part spinner. $5 per play. Grand prize is $150.
OPTION 2: Roll two dice with a product greater than 4 and less than 12. Then, choose a numbered card from a deck of cards. $15 per play. Grand prize is $200.
Which option will you choose and why? Show your work and explain your thinking.
Two punches are made from steel bar stock 9-7/16 inches long. If one punch 4-1/64 inches long and the other is 4-3/32 inches long, how many inches of stock are wasted?
1-1 / 16''
1-21 / 64''
1-5 / 16''
After simplification of the given stock of steel bar , 1-21/64 inches of available stock are wasted.
As given in the question,
Length of the steel bar in stock = 9 7/16 inches
Length of one punch = 4 1/64 inches
Length of other punch = 4 3/32 inches
Simplification of the given data,
Length of steel bar - length of one punch
= 9 7/16 - 4 1/64
= 144/16 - 256/64
= (576 - 256)/64
= 320/64
=5 27/64 inches
Now,
subtract 4 3/32 from 5 27/64
= 5 27/64 - 4 3/32
= 347/64 - 131/32
=347/64 - 262/64
=(347-262)/64
=85/64
= 1 21/64inches
It means about "1 21/64" inches of the steel beam was wasted.
Therefore, after simplification the length of 1 21/64 inches of stock get wasted.
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What is the role of galaxies, planets, satellites, comets, and asteroids in shaping the universe?
We can say that the role of galaxies, planets, satellites, comets and asteroids, in the conformation of the universe, is based on being elements to structure it.
¿What is the universe and what are its components?In physics, it is mentioned that the universe is all physical existence that exists, this goes from our planet to what is found abroad.
Within the universe, as an entity, how to find different elements that structure it, for example, we have:
GalaxiesPlanetsSatellitesKitesAsteroids¡Hope this helped!
Describe what is meant by the statement “Renting can restrict ones lifestyle.”
1/2% of b is 50 find the quantity b ,if
Answer: 100
Step-by-step explanation:
You can set up the equation:
50 / (1/2)
Dividing by 1/2 is thhe same as multiplying by 2.
50 / (1/2) = 100
50(2) = 100
Calculate and then write the reciprocal of your answer.
2/43 of the difference of 3 2/15 and 2 5/12
Step-by-step explanation:
3 2/15 - 2 5/12
4 - 25
1____________ = (60+4) - 25/60
39/60
60
2/43 * 39/60
=78/2580
The value of the reciprocal fraction is A = 30/1 = 30
What is Reciprocal Fraction?The fraction obtained by swapping or interchanging Numerator and Denominator with each other is known as the Reciprocal of the given fraction. The product of reciprocals is 1.
Given data ,
Let the value of the reciprocal fraction be represented as A
Now , the equation will be
Let the first fraction be represented as p
Now , the value of p = 3 2/15
On simplifying , p = 47/15
Let the second fraction be represented as q
Now , the value of q = 2 5/12
On simplifying , q = 29/12
Now , the equation is B = p - q
Substituting the values in the equation , we get
B = ( 47/15 - 29/12 )
B = 43/60
Now , ( 2/43 ) of the value of A is given as
C = ( 2/43 ) ( 43/60 )
On simplifying the equation , we get
C = ( 2/60 )
C = ( 1/30 )
Now , the reciprocal fraction is given as
A = 30/1
A = 30
Hence , the reciprocal fraction is A = 30/1
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Describe a real-life representation of the following.
12/49 =0.24
A real-life representation of the following fraction 12/49 =0.24 is that 12kg or rice is to be shared among 49 friends. How many kg will each person get?
How to calculate the fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers. On the other hand, a fraction appears in the numerator or the denominator of a complex fraction.
In this case, the real-life representation of the following fraction 12/49 =0.24 is that 12kg or rice is to be shared among 49 friends. How many kg will each person get?
This is illustrated as 12/49.
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Consider the dot plots which show the distribution of data collected on two high school basketball players. Which statement BEST describes the center of the data collected for the two players? Responses A mean score for player 1 is greatermean score for player 1 is greater B range is greater for player 1range is greater for player 1 C median score for player 2 is greatermedian score for player 2 is greater D mean score for player 2 is greatermean score for player 2 is greater E mean scores are the same for both players
The best description of the dot plot is; median scores are the same for both players
How to interpret dot plots?A dot plot is defined as a simple plot that displays data values as dots above a number line. Now, dot plots show the frequency with which a specific item appears in a data set. Dot plots shows the distribution of the data.
The median of a data set is simply defined as the value in the middle of that same data set when arranged in ascending order.
From player 1, the data set when arranged in ascending order are;
8, 10, 10, 10, 12, 12, 14, 16, 16
In this case, the exact middle term is 12 which will be the median
For player 2, the data set when arranged in ascending order are;
0, 2, 6, 10, 12, 16, 18, 22, 22
In this case, the exact middle term is 12 which will be the median.
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If it snows on a given day, the probability that it snows the next day is 7/10 If it does not snow on a given day, the probability that it snows the next day is 2/10 It is snowing today. By first drawing a tree diagram, work out the probability that it will snow on exactly one of the next two days. Give your answer as a fraction in its simplest form
Answer: 27/100
Step-by-step explanation:
Which, if any, is not a characteristic necessary for obtained values of chi-square to be distributed according to the tabled values of the chi-square distribution?
a. expected frequencies must be equal for all groups
b. the null hypothesis must be true
c. sampling must be random
d. all of the above must be true
Expected frequencies must be equal for all groups is correct option.
Expected frequency of all groups in chi square test should not be equal initially to perform the test.To help establish whether observed results are consistent with expected outcomes and to rule out the possibility that observations are the result of chance, a chi-square test is utilized. When data are being evaluated from a random sample and the variable in issue is a categorical variable, a chi-square test is applicable.Chi-square distributions are helpful for testing hypotheses because of how closely they resemble the conventional normal distribution. Many significant statistical tests and theories revolve around the standard normal distribution, which is a normal distribution with a mean of zero and a variance of one.To know more about frequency check the below link:
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