The correct answers are:
C. The probability of being included in the sample is the same for all members of the population of interest.
D. Sampling must be done without replacement.
The correct answer is, "The probability of being included in the sample is the same for all members of the population of interest" and "sampling must be done without replacement."
An independent random sample is a subset of a population that is selected in such a way that each member of the population has an equal and independent chance of being included in the sample. This means that the probability of being included in the sample is the same for all members of the population, which is why the statement "the probability of being included in the sample is the same for all members of the population of interest" is correct.
In addition, sampling must be done without replacement, which means that once an individual has been selected for the sample, they cannot be selected again. This ensures that each member of the population has an equal chance of being selected and that the sample is not biased towards certain individuals.
The statement "sampling must be done with replacement" is incorrect because it implies that individuals can be selected multiple times, which would not result in an independent random sample. The statement "every time an individual is selected for the sample, each of the remaining individuals has a higher chance of being included" is also incorrect because it suggests that the sampling process is not independent, which would also result in a biased sample.
Therefore, The probability of being included in the sample is the same for all members of the population of interest and sampling must be done without replacement.
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Justify the last two steps in the proof.
Thus, by the property of side side side congruence of triangle, ΔRST ≅ ΔUTS .
Explain about the triangle congruency:Both triangles are considered congruent if the three angles and three sides of one triangle match the corresponding angles and sides of the other triangle.
2 triangles are congruent provided their accompanying 3 side lengths are equal, according to the side-side-side rule (SSS).2 triangles are congruent when their accompanying two angles but one included side are equivalent, according to the Angle- Side- Angle rule (ASA).Given :
RS ≅ UTRT ≅ USThe statements are-
RS ≅ UT Given
RT ≅ US Given
St ≅ TS Common
ΔRST ≅ ΔUTS By side side side congruence
Thus, by the property of side side side congruence of triangle, ΔRST ≅ ΔUTS .
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Air currents cause planes to fly faster traveling from west to east than they do from east to west because they are flying with a tailwind at high altitudes. A plane traveling 2500 miles from Los Angeles to New York and 2500 miles back again takes 10 hours of flight time. If the plane's cruising speed is 505 miles per hour, calculate the speed of the air current.
Formulate an equation representing the situation and use it to calculate the speed of the air current.
The speed of the air current is 22.36 mph(rounded to two decimal places).
What is distance?
Distance is the measure of how far apart two objects or locations are from each other. It is usually measured in units such as meters, kilometers, miles, or feet.
Let's assume the speed of the air current as x mph.
When the plane is traveling from Los Angeles to New York, it flies with a tailwind, so its effective speed will be the sum of its cruising speed and the speed of the air current, which is 505 + x mph.
When the plane is traveling from New York to Los Angeles, it flies against the headwind, so its effective speed will be the difference between its cruising speed and the speed of the air current, which is 505 - x mph.
We can use the formula:
time = distance / speed
to set up an equation based on the given information:
2500 / (505 + x) + 2500 / (505 - x) = 10
Multiplying both sides by (505 + x) * (505 - x), we get:
2500(505 - x) + 2500(505 + x) = 10(505 + x)(505 - x)
Simplifying the equation, we get:
505000 - 2500x + 505000 + 2500x = 25502500 - 10x²Simplifying further, we get:
10x² = 5000
x² = 500
x = 22.36 (rounded to two decimal places)
Therefore, the speed of the air current is 22.36 mph.
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Please help with this one I need to be done with this one yall.
Answer:
Step-by-step explanation:
Middle right = 3
Bottom left = 15t
Answer:
In the explanation
Hope this helps!
Step-by-step explanation:
3 * ( 5t + 4 )
3 * 5t + 3 * 4
15t + 12
How do I find the value of the variable?
Answer: x = 50, y = 25
Step-by-step explanation:
Use your trigonometric identities. Sin = Opposite over hypotenuse. Sin(60) = [tex]25\sqrt{3}/x[/tex]. Therefore, [tex]25\sqrt{3}/sin(60) = x[/tex]. Sin(60) = 0.866, so your answer is 50.0014667312, or x = 50. Do the same for the other one, just with tan (Opposite over adjacent). Your answer is 25.
a marketing company is testing eight different page designs for its new catalogue of clothing. the chain wants to know if there is a significant difference in sales dollars between the eight different designs. what analysis is most appropriate (confidence interval, one-sample hypothesis test, two-sample hypothesis test, anova, linear regression)
A marketing company is testing eight different page designs for its new catalogue of clothing. The analysis is most appropriate is ANOVA
The best analysis to use to determine whether there is a noticeable difference in sales amounts between the eight various page designs in the marketing company's new clothing catalogue is Analysis of Variance. In this instance, the averages of the sales figures for each of the eight page designs were compared using the statistical technique known as an ANOVA.
If there is a statistically significant difference between the group means, then at least one of the patterns may be linked to a higher degree of revenue than the others. This can be determined using an ANOVA. The marketing firm can use this data to identify the page designs that are most successful at driving purchases and change their catalogue as necessary to maximise income.
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A coffee shop recorded the drinks that were recently sold.
mochas 1
macchiatos 3
Americanos 5
lattes 7
espressos 4
Considering this data, how many of the next 15 drinks sold would you expect to be espressos?
Based on the given data, it is expected that approximately 4 of the next 15 drinks sold will be espressos.
To find the expected number of espressos out of the next 15 drinks sold, we can use the proportion of espressos in the recorded drinks as an estimate.
The proportion of espressos in the recorded drinks is 4 out of a total of 20 drinks, or 4/20 = 0.2. This means that about 20% of the recorded drinks were espressos.
To estimate how many of the next 15 drinks sold would be espressos, we can use the proportion of espressos in the current data.
Out of a total of 20 drinks (1 mocha + 3 macchiatos + 5 Americanos + 7 lattes + 4 espressos), the proportion of espressos is 4/20 = 0.2.
Therefore, we can expect that approximately 0.2 * 15 = 3 of the next 15 drinks sold will be espressos.
So we can expect that three of the next 15 drinks sold will be espressos.
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A-
Aaron has tried to construct the perpendicular bisector for line AB.
a) Write a sentence to explain how you know this is not a perpendicular bisector.
b) Which of the possible mistakes below has Aaron made in his construction?
Calculate
B
Possible mistakes
He did not use a ruler to draw his line
The width of his pair of compasses
changed between drawing his ares
He did not use a pair of compasses to
draw his ares
Answer:
Step-by-step explanation:
The next step in the construction is Aaron should Use the compass to find the perpendicular bisector for side.
What is the bisector about?
A bisector is known to be a kind of straight line that cut or divide an angle or a line segment.
Note that The next step in the construction is Aaron should Use the compass to find the perpendicular bisector for side as it is the right step to take.
The correct answer to this question is letter b.There are only three steps in constructing a circle circumscribed by a triangle. He is done with the first step. Use the compass to find the perpendicular bisector for side DF. I hope I have helped you.
Stacey lives on a cliff. She lives 652 feet above sea level. When she travels to town she travels down 491 feet What elevation is town
Answer:
Step-by-step explanation:
112
its just math but I'm just stoopid
also it says the price of each ticket underneath the picture
Answer: It would be 8 tickets to break even.
Step-by-step explanation: 8×6.75=54
Using the given information, the drama club must sell 50 tickets to break even.
Calculating how many tickets must be sold to break evenFrom the question we are to determine the number of tickets that must be sold to at least break even
From the given information,
The drama club has $1262.50 from fund raising
and
They estimated that the entire production will cost $1600.00
Thus,
They need to raise $1600.00 - $1262.50 to break even
$1600.00 - $1262.50 = $337.5
Also from the given information,
Each ticket cost $6.75
Therefore,
The must sell $337.5/$6.75 tickets to break even
$337.5/$6.75 = 50
Hence, the must sell 50 tickets
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What is the perimeter of a pentagon with sides that are each 12 inches long?
[tex]p = 5a[/tex]
Answer
P=60
Step by step explanation
a= 12
so according to the formula
p=5(12)
p=60
The perimeter of a pentagon with sides that are each 12 inches long is 60 inches.
What is Perimeter?The perimeter of a form is the space surrounding its edge.
The whole distance encircling a shape is referred to as its perimeter. It is the length of any two-dimensional geometric shape's boundary or outline. Depending on the size, the perimeter of several figures can be the same.
We have,
Sides of Pentagon = 12 inches
We know that Pentagon have 5 sides.
So, Perimeter of Pentagon
= 5 x side
= 5 x 12
= 60 inches
Thus, the Perimeter is 60 inches.
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Enter your response in the box below.
Find the height, x, of the triangle.
X
90
-100
Answer:
Step-by-step explanation:
height x is in the wrong spot of the triangle -90 x 100 then divide sum like that.. (:
PLEASE HELP ME PLEASE PLEASE!!!! SHOW EXPLANATION OR YOU WILL GET REPORTED
Answer:
y = -x² + 5
Step-by-step explanation:
If x = -1
y = -(-1²) + 5
y = 4
If x = 0
y = 0 + 5
y = 5
If x = 1
y = -1² + 5
y = 4
If x = 2
y = -2² + 5
y = 1
If x = 3
y = -3² + 5
y = -4
Hope this helps!
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the resultant data are: forty mothers have taken the suspected drug during their pregnancies. of these mothers, 35 have delivered malformed infants. in addition, 10 other infants are born with malfunctions. what type of study design is this?
The study is investigating the relationship between the exposure to the suspected drug during pregnancy and the risk
of delivering a malformed infant. This study design is a case-control study design.
The resultant data are: forty mothers have taken the suspected drug during their pregnancies. Of these mothers, 35
have delivered malformed infants. In addition, 10 other infants are born with malfunctions," then the answer would be
as follows:
The type of study design that is described in this scenario is a case-control study design.
A case-control study design is a type of observational study design that compares people with a particular condition
(cases) to people without that condition (controls) to determine whether there is a relationship between the exposure
to a suspected risk factor and the development of the condition.
In this scenario, the cases are the 35 mothers who delivered malformed infants, and the controls are the 5 mothers
who did not deliver malformed infants. The study is investigating the relationship between the exposure to the
suspected drug during pregnancy and the risk of delivering a malformed infant. Therefore, this study design is a case
control study design.
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First try was incorrect
Convert the following metric length into millimeters. You may enter an
exact answer or round to the nearest thousandth.
2.38 km
2.38 km is equivalent to 2,380,000 millimeters.
What is metric system?A method for measuring temperature, length, volume, weight, and distance is known as the metric system. It is founded on three fundamental units that allow us to measure almost anything in the universe.
M- meter, used to measure the length
Kg- kilogram, used to measure the mass
S- second, used to measure time
To convert 2.38 km into mm,
We know 1 km = 1000 m
And 1 m = 1000 mm
So, 2.38 km is equivalent to 2,380,000 millimeters. (rounded to the nearest thousandth)
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k is a degree 5 polynomial that passes through the origin, has zeros i and 8-i, and k(-4)= - 49300.
Find the equation for k.
Use x for your input. Simplify your answer so that it has only real numbers as coefficients.
the equation for K is K(x) = -20x⁵+ 260x³ - 800x.
How to solve the question?
Since K is a degree 5 polynomial with zeros i and 8-i, it also has two other complex zeros that are conjugates of each other, namely -i and 8+i. Thus, we can express K in factored form as:
K(x) = a(x-i)(x+i)(x-(8-i))(x-(8+i))(x-0)
where a is some constant coefficient. Simplifying the above expression, we get:
K(x) = a(x²+ 1)(x² - 16x + 65)x
Now we can use the fact that K(-4) = -49300 to solve for the coefficient a. Plugging in -4 for x, we get:
K(-4) = a((-4)²+ 1)((-4)²- 16(-4) + 65)(-4) = -49300
Simplifying the expression above, we get:
a(17)(129) = -49300
a = -20
Thus, the equation for K(x) is:
K(x) = -20(x² + 1)(x²- 16x + 65)x
Expanding and simplifying the expression above, we get:
K(x) = -20x⁵ + 260x³ - 800x
Therefore, the equation for K is K(x) = -20x⁵+ 260x³ - 800x.
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last year, 44 of business owners gave a holiday gift to their employees. a survey of business owners conducted this year indicates that planned to provide a holiday gift to their employees. suppose the survey results are based on a sample of business owners. a. how many business owners in the survey planned to provide a holiday gift to their employees this year? round your answer to the nearest whole number.
Number of business owners in the survey planned to provide a holiday gift to their employees this year is 27
We are given that 30% of business owners planned to provide a holiday gift to their employees this year. We can use this percentage to estimate the number of business owners in the sample who planned to provide a gift.
To do this, we can multiply the percentage by the total number of business owners in the sample
30% of 90 business owners = 0.30 x 90 = 27 business owners
Rounding to the nearest whole number, we get:
Approximately 27 business owners planned to provide a holiday gift to their employees this year.
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The given question is incomplete, the complete question is:
Last year 44% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that 30% planned to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 90 business owners.
How many business owners in the survey planned to provide a holiday gift to their employees this year? Round your answer to the nearest whole number.
2) The cost of building a bridge in 1995 was estimated as £24
million. When it was finally completed in 1998 its total cost
amounted to £37.7 million.
13.7
What was the percentage increase?
The percentage increase in the cost of building the bridge was approximately 57.08%.
What is percentage increase?Percentage increase is a measure of the amount of increase or growth expressed as a percentage of the original value. It is calculated by subtracting the original value from the new value, then dividing the result by the original value, and finally multiplying the quotient by 100.
According to question:To find the percentage increase, we need to calculate the difference between the final cost and the initial cost, and then divide that difference by the initial cost and multiply by 100 to get the percentage increase.
The formula for percentage increase is:
Percentage increase = (New value - Old value) / Old value x 100
Difference = Final cost - Initial cost
Difference = £37.7 million - £24 million
Difference = £13.7 million
Percentage increase = (Difference / Initial cost) x 100
Percentage increase = (13.7 / 24) x 100
Percentage increase = 57.08%
Therefore, the percentage increase in the cost of building the bridge was approximately 57.08%.
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18/99 simplified 20 point givedif helped
18/99 simplified is 2/11 by dividing the numerator and denominator by 9.
What is simplification?A mathematical expression can be simplified by replacing it with an equivalent one that is easier (typically shorter), for example. In computer algebra, formulas of algebra are simplified. Boolean equation simplification is also known as logic optimization.
To simplify 18/99
We need to simplify the denominator and numerator by the greatest common factor.
In 18 and 99, 9 is the greatest common factor so, we can divide the numerator and denominator by 9 .
[tex]\frac{18}{99} = \frac{18/9}{99/9} \\\frac{18}{99} = \frac{2}{11}[/tex]
Therefore 18/99 simplified is 2/11
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The five winning basketball scores totaled 500 points. Three scores, 81, 112 and 97 were recorded in the team log. Jacki estimated that the other scores had to be 100 and 110. Why are Jacki’s estimates reasonable? A. It is reasonable because that is the average of the numbers. B. It is reasonable because there are five numbers. C. It is reasonable because those are even numbers. D. It is reasonable because all the scores equal 500.
Jacki's estimates are reasonable because they make the total of the five winning basketball scores equal to 500 points.
The correct answer is D. It is reasonable because all the scores equal 500.
First, we know that the five winning scores totaled 500 points.
Three of the scores (81, 112, and 97) are already recorded in the team log. We can add these three scores together to find out how many points we need to reach 500:
81 + 112 + 97 = 290 points.
To find the remaining points needed, we can subtract the sum of the known scores (290 points) from the total points (500 points):
500 - 290 = 210 points.
Jacki estimated that the other two scores were 100 and 110 points.
We can add these two scores together to check if they equal the remaining points needed (210 points):
100 + 110 = 210 points.
Since Jacki's estimates add up to the remaining points needed (210 points), we can conclude that her estimates are reasonable.
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What is the 11th term in 13,19,25,31
The 11th term in the arithmetic sequence 13, 19, 25, 31 is 73.
What is arithmetic sequence?An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a fixed number called the common difference (d) to the preceding term.
According to given information:To find the 11th term in the arithmetic sequence 13, 19, 25, 31, we can use the formula for the nth term of an arithmetic sequence:
an = a1 + (n - 1)d
where:
an is the nth term
a1 is the first term
n is the number of the term we want to find
d is the common difference
In this sequence, the first term (a1) is 13 and the common difference (d) is 6 (we can see that by subtracting each term from the one before it). So we can plug in the values we know:
a11 = 13 + (11 - 1)6
a11 = 13 + 60
a11 = 73
Therefore, the 11th term in the sequence 13, 19, 25, 31 is 73.
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at one hospital, there were 796 boys and 764 girls born during one particular year. if a delivery from that year at the hospital is chosen at random. what is the probability that the baby is a girl? (round to four decimals like 0.1234)
A delivery from a particular year at the hospital is randomly choose. The probability that the baby is a girl is equals to the 0.4897.
We have provide a data of girl and boy born babies in a particular year.
At hospital, total born boy baby = 796
born baby girls in hospital = 764
total babies in hospital = 796 + 764
= 1560
We have to determine the probability that the baby is a girl. Let the event E be the choose baby is girl. Probability is defined as the ratio of favourable outcomes to the possible outcomes of an event .
So, favourable outcomes for event E
= 764
Total possible outcomes = 1560
So, the probability that the baby is a girl, P( E) = 764/1560
= 0.4897
Hence, required probability value is 0.4897.
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At the spelling bee finals, sarah correctly spelled two less than three times as many words as christian. Leonard correctly spelled one more than twice the number of words as christian. Altogether, the three students correctly spelled a total of 95 words. How many words did each of the students spell correctly?
By answering the presented question, we may conclude that So Christian equation spelled 16 words correctly, Sarah spelled 3x - 2 = 46 words correctly, and Leonard spelled 2x + 1 = 33 words correctly.
What is equation?
An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the number "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilized in many different areas of mathematics, such as algebra, calculus, and geometry. Let's start by defining some variables to represent the number of words each student spelled correctly:
Let x be the number of words Christian spelled.
x + (3x - 2) + (2x + 1) = 95
6x - 1 = 95
6x = 96
x = 16
So Christian spelled 16 words correctly, Sarah spelled 3x - 2 = 46 words correctly, and Leonard spelled 2x + 1 = 33 words correctly.
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suppose the amount of time one spends at a bank is exponentially distributed with a mean of 10 minutes. what is the probability you will spend less than 5 minutes at the bank? enter your answer as a decimal (i.e., a number between 0 and 1, not as a percentage), accurate to 2 decimal places.
The required probability of the given exponential distribution with mean of 10 minutes is equal to 0.39 rounded to two decimal places.
The amount of time spent at a bank follows an exponential distribution with a mean of 10 minutes,
The probability density function (PDF) of the time spent at the bank is given by,
f(x) = (1/10)e^(-x/10), where x ≥ 0
The probability of spending less than 5 minutes at the bank,
Evaluate the cumulative distribution function (CDF) of the exponential distribution up to x=5 minutes,
P(X < 5) = [tex]\int_{0}^{5}[/tex] f(x) dx
=[tex]\int_{0}^{5}[/tex](1/10)e^(-x/10) dx
= [-e^(-x/10)][tex]|_{0}^{5}[/tex]
= -e^(-1/2) + 1
≈ 0.393
Therefore, the probability of spending less than 5 minutes at the bank is approximately 0.39, rounded to two decimal places.
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The mean of 6 pieces of data is 7. Five of the data values are 9, 4, 8, 8, and 7. What is the sixth data value?
[tex] \:\:\:\:\:\:\longrightarrow \sf \underline{Mean = \dfrac{Sum\: of \: Observations }{No.\:of \:Observations }}\\[/tex]
As per question, we are given -
The mean of 6 pieces of data is 7 which states the no of observations is 6. Let the 6th datum be x.Then, the sum of observations will be -[tex] \:\:\:\:\:\:\star\:\sf Sum \:of \:observations \\[/tex]
[tex] \:\:\:\:\:\:\longrightarrow \sf 9+4+8+8+7+x \\[/tex]
[tex] \:\:\:\:\:\:\longrightarrow \sf 36+x \\[/tex]
Now that, we are given all the values which are required for solving this problem, so we can substitute the values and solve for the sixth datum -
[tex] \:\:\:\:\:\:\longrightarrow \sf Mean = \dfrac{Sum\: of \: Observation }{No.\:of \:Observation }\\[/tex]
[tex] \:\:\:\:\:\:\longrightarrow \sf 7 = \dfrac{36+x}{6}\\[/tex]
[tex] \:\:\:\:\:\:\longrightarrow \sf 7\times 6 = 36+x \\[/tex]
[tex] \:\:\:\:\:\:\longrightarrow \sf 42 -36 =x\\[/tex]
[tex] \:\:\:\:\:\:\longrightarrow \sf \underline{x = 6}\\[/tex]
Therefore, the sixth datum is 6.a crane is 15 meters tall. its shadow is 8 meters long. close by, there is a bell tower that is 45 meters tall. how long is the bell tower's shadow?
Answer: 24 meters
Step-by-step explanation:
15/45 = 8/x
15x = 360
x = 24
The length of the bell tower's shadow is 24 meters. This can be answered by the concept of similar triangles.
To determine the length of the bell tower's shadow, we can use the concept of similar triangles. The height of the crane, the length of its shadow, and the height of the bell tower form one set of similar triangles. We can write the proportion:
height of crane / length of crane's shadow = height of bell tower / length of bell tower's shadow
Plugging in the given values, we get:
15 / 8 = 45 / x
Solving for x, we get x = 24.
Therefore, the length of the bell tower's shadow is 24 meters.
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A basketball player shoots the ball with a velocity of 17.0 ft/s at an angle of 34.1° with the horizontal. To the nearest tenth, find the magnitude of the horizontal component of the resultant vector.
We need to find the initial horizontal component of the vector that represents the velocity of the ball. Let us represent that initial horizontal component by, [tex]\bold{v_x}[/tex].
Now, since basketball player shoots the ball with an initial velocity, [tex]\bold{v}[/tex], of 17.0 ft./sec at an angle of 34.1 degrees with the horizontal, we can find the initial horizontal component by, [tex]\bold{v_x}[/tex] using the following formula:
[tex]\bold{v_x}=\bold{v}\text{cos}(\theta)=17.0\times\text{cos}(34.1^\circ)\thickapprox14.1[/tex] ft./sec
melissa flipped her lucky coin 13 times and got 6 heads. melissa used these numbers to estimate the probability of getting a head with her lucky coin. find the margin of error for melissa's estimated probability above.
The probability of getting a head with her lucky coin is 0.46 and the margin of error for Melissa's estimated probability is 0.218.
Probability is a way to gauge how likely something is to happen. Several things are difficult to forecast with absolute confidence. With it, we can only make predictions about the likelihood of an event happening, or how likely it is. The range of probability is 0 to 1, with 0 representing impossibility and 1 denoting certainty.
Let X be the "number of heads" in a n=13 trial.
The observed percentage of fortunate coins with heads is,
X= 6
The estimated probability of Josue ‘flipping a head’ with his lucky coin is,
p = X/n
p = 6/13
p = 0.46
A statistic called the margin of error measures the degree of random sampling error in a survey's findings. It indicates a likelihood that the results of a sample will be quite close to the findings that one would arrive at if the full population had been surveyed. The margin of error is obtained by multiplying the critical value by the standard deviation.
The estimated probability calculated using Josue's margin of error (ME) assuming,
α = 1 - 0.95= 0.05 is,
ME= Zc x [tex]\sqrt{{p^(1-p^)/n[/tex]
Here, p = 0.46, Zc= z(0.05/2)= 1.96
ME = 1.96 x √0.46⨉0.55/20
ME = 1.96 x √0.01238
ME = 0.21808≅ 0.218
The margin of error is 0.218.
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145.678 rounded to the nearest hundred
Answer:
145.68
Step-by-step explanation:
When rounding 145.678 to the nearest hundred, we look at the digit in the tens column, which is 4. Since 4 is less than 5, we round down to the nearest hundred. Therefore, 145.678 rounded to the nearest hundred is 100.
A company is marketing a new video game. Market research indicates that 47% of the the market has seen an advertisement for the new game.
Suppose 48% of those who see the ad have purchased the game and 86% of those who have not seen the advertisement have not purchased the game. If you choose a person who did not purchase the game, what is the probability he or she did not see the ad?
Express your answer as a decimal, rounded to the nearest thousandth (three decimal places).
Answer=
(Solve using Bayes Formula)
The probability that a person did not see the ad given that they did not purchase the game is 0.146.
To solve this problemLet A be the event that a person has seen the advertisement, and let B be the event that a person has not purchased the game. We are asked to find the probability P(A' | B), which is the probability that a person did not see the ad given that they did not purchase the game.
We can use Bayes' theorem to calculate this probability:
P(A' | B) = P(B | A') * P(A') / P(B)
Where
P(B | A') is the probability of not purchasing the game given that the person did not see the adP(A') is the probability of not seeing the ad P(B) is the overall probability of not purchasing the gameWe know that 47% of the market has seen the ad, so the probability of not seeing the ad is 1 - 0.47 = 0.53. We also know that 48% of those who see the ad purchase the game, so 52% of those who see the ad do not purchase the game. Finally, we know that 86% of those who have not seen the ad have not purchased the game.
Putting all of this information together, we can calculate:
P(B | A') = 86%
P(A') = 53%
P(B) = P(B | A') * P(A') + P(B | A) * P(A) = 0.52 * 0.47 + 0.14 * 0.53 = 0.3111
Substituting these values into Bayes' theorem, we get:
P(A' | B) = (0.86 * 0.53) / 0.3111 = 0.146 (rounded to three decimal places)
Therefore, the probability that a person did not see the ad given that they did not purchase the game is 0.146.
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which of the following is true about a normally distributed set of data? (choose one or more) group of answer choices the tails are the same length the right tail is longer than the left tail the tails are asymptotic the left tail is longer than the right tail
Normal distribution is symmetric distribution so mean, median and mode are the same. The tails are the same length.
The left tail of such a distribution is longer than the right tail in negative type of asymmetric distribution. The “extremities” of a distribution are precisely what their name suggests - the extensions on either side of a distribution. While this term can be applied to a set of data, it is more easily observable when the data is represented graphically, as the extremities become readily apparent.
The extension on the left is referred to as the left-extremity, and likewise, the one on the right is called the right-extremity. It's not essential for a distribution to have both of these; it can have just one on either side.
Upper and Lower Extremities: Although it's more common to denote the extremities as being on the "left" or "right," this can be problematic if you're not examining a graph. In other words, if you're dealing with a set of data, it may not be immediately clear which data should be placed on the left or right of a graph. The alternative names for the right and left extremities, which address this problem, are upper extremity and lower extremity.
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