50% don't smoke, 20% light smokers, 30% heavy smokers heavy smokers twice as likely to die as light smokers, light smokers twice as likely to die as nonsmokers probability of being a heavy smoker given person died?
The probability of person being a heavy smoker given person died is 0.57 .
Baye's Theorem helps in finding the probability of any event A given that event B has already occurred.
For Example the probability of event A given that event B has already occurred is denoted by
[tex]P(A/B)=\frac{P(B/A)P(A)}{P(B)}[/tex]
In the given question
Let H denoted heavy smokers , L denote Light smokers , N denote Non smokers.
Given the probability of non smokers P(N) = 50%=0.5
the probability of light smokers P(L)=20%=0.2
the probability of heavy smokers P(H)=30%=0.3
let P(D/H) denoted the person died given he was a heavy smoker.
let P(D/L) denoted the person died given he was a light smoker.
let P(D/N) denoted the person died given that he was a non smoker.
According to question
"heavy smokers twice as likely to die as light smokers" means
P(D/H)=2P(D/L)......(1)
and "light smokers twice as likely to die as nonsmokers" means
P(D/L)=2P(D/N)
On simplifying we get
[tex]P(D/N)=\frac{1}{2} P(D/L)\\ \\ P(D/N)=0.5 P(D/L)[/tex].....(2)
According to Baye's Theorem
[tex]P(H/D)=\frac{P(D/H)P(H)}{P(D/N)P(N)+P(D/L)P(L)+P(D/H)P(H)}[/tex]
Substituting values of P(D/H) from ...(1) and values of P(D/N) from ....(2)
we get [tex]P(H/D)=\frac{2*P(D/L)P(H)}{0.5*P(D/L)P(N)+P(D/L)P(L)+2*P(D/L)P(H)}[/tex]
taking P(D/L) common from each term
[tex]P(H/D)=\frac{P(D/L)}{P(D/L)} (\frac{2*P(H)}{0.5*P(N)+P(L)+2*P(H)})[/tex]
[tex]P(H/D)= (\frac{2*P(H)}{0.5*P(N)+P(L)+2*P(H)})[/tex]
Substituting the values of P(N), P(H), P(L) from above we get
[tex]P(H/D)= (\frac{2*(0.3)}{0.5*(0.5)+(0.2)+2*(0.3)})[/tex]
[tex]P(H/D)= (\frac{0.6}{0.25+0.2+0.6})[/tex]
=[tex]\frac{0.6}{1.05}=0.57[/tex]
Therefore , the probability of person being a heavy smoker given person died is 0.57 .
Learn more about Probability here https://brainly.com/question/17764757
#SPJ4
research looks at how variables vary with each other, while research looks at how one variable causes a change in another variable. descriptive; correlational correlational; experimental experimental; descriptive experimental; correlational
"Correlational" research looks at how variables vary with each other, while "experimental" research looks at how one variable causes a change in another variable.
What is correlational research?Research is a form of non-experimental methodology in which a researcher measures 2 factors and analyzes and evaluates the statistical relationship among them without the influence of any other variable.
Some key features regarding the correlational research are-
The correlation coefficient (a statistical technique that determines the strength of the connection between two variables) shows this same correlation between two variables, with a value ranging from -1 to +1. A positive correlation exists between the two variables so when correlation coefficient is close to +1. If the value is close to -1, the two variables have a negative correlation. Whenever the value is close to zero, the two variables have no relationship.To know more about the correlational research, here
https://brainly.com/question/4272060
#SPJ4
There are 60 people in a choir.
Half of the people in the choir are women.
The number of women in the choir is 3 times the number of men in the choir.
The rest of the people in the choir are children.
the number of children in the choir : the number of men in the choir
= n : 1
Work out the value of n.
Answer:
There are 60 people in the chior so we will be dividing that number up to see how many women men and children there are. Half of them are women, which mean divide 60 by 2 which equals 30. There are 30 women in the choir. The number of women is 3 times compared to men. Since its 3 times we use the commutative property of division. 30 divided by 3 is 10. There are 10 men in the choir. The rest are children. To find the rest of them we will take how many people in the choir we know so far and then subtract from the total: 60. there are 30 women and 10 men which adds up to 40. 60 minus 40 equals 20. There are 20 children in the choir.
Since n = number of men and children:
n = 30
30 : 1
Step-by-step explanation:
Hope it helps! =D
The area of a triangle is 16 square units. The base of the triangle is x+4 and the height is x . Find x
Answer:
4
Step-by-step explanation:
Help step by step pls someone man
F+ 2 1/2 < - 2
The solution to the given inequality is: F < -9/2.
What is the solution to the given inequality?The inequality is given by:
F + 2 and 1/2 < -2.
First we have to realize the conversion of the mixed number to fraction, as follows:
2 and 1/2 = 2 + 1/2 = 4/2 + 1/2 = 5/2
Hence the inequality is:
F + 5/2 < -2
F < -2 - 5/2
F < -4/2 - 5/2
F < -9/2.
The solution to the given inequality is: F < -9/2.
More can be learned about inequalities at https://brainly.com/question/25235995
#SPJ1
which is greater height or radius of cone?
full explanation down below
The 150 m³ cone that has a base radius of 5 meters indicates that the height of approximate length 5.73 meters is greater than the radius (length 5 meters)
How can the height of the cone be found?The given parameters are;
Volume of the cone is V = 150 m³
Base radius of the cone, r = 5 m
The formula for finding the volume of a cone is; [tex]V = \mathbf{\frac{1}{ 3} \cdot \pi \cdot {r}^{2} \cdot h} [/tex]
By plugging in the values for the volume, V and radius, r, of the cone, we have;
[tex]150 = \frac{1}{ 3} \times \: \pi \times {5}^{2} \times h[/tex]
Which gives;
[tex] h = \mathbf{ \frac{150}{ \frac{1}{ 3} \times \: \pi \times {5}^{2} } \approx 5.73} [/tex]
Therefore;
The height, (h ≈ 5.73 meters) is greater than the radius, r = 5 metersLearn more about finding the volume of regular solids here:
https://brainly.com/question/17244531
#SPJ1
2-2 logic geometry need the answers by today if available
Answer:
can you put a better pic
Step-by-step explanation:
how many significant figures are in the measurement 0.00001 meters?
Answer:
1 significant figure
Step-by-step explanation:
Zero is significant when:
It occurs between two non-zero integers, such as 408; it occurs at the end of a number that contains a decimal point, such as 570. or 1.300
Zero is not significant when:
It is before the first non-zero integer, such as 0.0057 (two significant figures); it is at the end of a number that does not contains a decimal point, such as 253,000 (three significant figures)
(trust me I'm taking chemistry this year and literally that is the 'rule' that is written down in my notebook)
5. A state began an effort to increase the
deer population. In year 2 of the ef-
fort, the deer population in a state
forest was 2,400. In year 4, the pop-
ulation was 3,456. Write an explicit
rule for the sequence using subscript
notation.
The explicit rule for the sequence using subscript notation is [tex]a_n=2000\times1.2^{n-1}[/tex] .
Explicit expressions are always used to represent any term in a sequence without describing any other term in the sequence. The meaning of "explicit" is direct, something that can be found directly without knowing the other terms in the sequence.A term in a sequence can be uniquely represented by a single expression, an explicit expression. Geometric Sequence: [tex]a_n=ar^{n-1}[/tex], where 'a' is the first term and 'r' is the common ratio.It is given that sequence is G.P
In G.P 2nd and 4th is given by
[tex]a_2=ar[/tex] ...(1) and [tex]a_4=ar^3[/tex] ...(2)
We have given [tex]a_2=2400 , a_4=3456[/tex]
Putting in equation (1) and (2) , we get
[tex]2400=ar[/tex] ...(3) and [tex]3456=ar^3[/tex] ...(4)
On dividing equation (3) by equation (4) , we get
[tex]\frac{2400}{3456} =\frac{ar}{ar^3} \\\\\\ 0.6944=\frac{1}{r^2}\\\\r^2=1.44 \\r=1.2[/tex]
First term will be given by
[tex]a_1=a_2 r^{1-2}\\\\a_1=2400r^{-1}\\\\a_1=\frac{2400}{1.2} \\\\a_1=2000[/tex]
Nth term is given by
[tex]a_n=a_1r^{n-1}\\a_n=2000\times1.2^{n-1}[/tex]
Learn more about sequence here :
https://brainly.com/question/17615101
#SPJ9
suppose that 26% of people own dogs. if you pick two people at random, what is the probability that they both own a dog?
The probability of both owning a dog is 0. 52
What is probability?Probability can be defined as the chance that a given event occurs.
From the information given, we have that;
The probability of owning a dog is 26%
Let's convert to decimal
Probability of owning a dog = 26 / 100 = 0.26
P(2 people) = 2 × P(owning a dog)
P(2 people) = 2 × 0. 26
Multiply through
P(2 people) = 0. 52
The probability of both owing a dog is 0.52
Thus, the probability of both owning a dog is 0. 52
Learn more about probability here:
https://brainly.com/question/25870256
#SPJ4
The probability of the states of nature, after use of bayes' theorem to adjust the prior probabilities based on given indicator information, is called _____.
The probability of natural states after applying the Bayes theorem to modify the prior probabilities in light of available indicator data is known as the posterior probability.
What is posterior probability?The posterior probability is a type of conditional probability that is created by applying the Bayes theorem to update the prior probability with information that is summarized by the likelihood. From an epistemological standpoint, the posterior probability, given prior knowledge and a mathematical model describing the observations available at a specific time, contains all that is known about an uncertain proposition (such as a scientific hypothesis, or parameter values). The present posterior probability may act as the prior in a subsequent round of Bayesian updating following the arrival of new data. The posterior probability distribution often expresses the epistemic uncertainty regarding statistical parameters conditional on a set of observed data in the context of Bayesian statistics.
To know more about posterior probability, visit:
https://brainly.com/question/17010130
#SPJ4
5p+4p=7 how do I solve the equation with two variables
Answer:
7/9
Step-by-step explanation:
Combine the two variables: 9p = 7
Then do 7 / 9
Q5 A rectangular pyramid is mounted on a rectangular prism as shown in the figure. Find
the surface area of the solid formed.
10 ft
Aft
3 ft
4ft
Answer: 164 ft^2
Step-by-step explanation:
l=length. w=width. h=height. SA=surface area
SA=2(l*w)+2(l*h)+2(w*h)
SA=2(10*3)+2(10*4)+2(3*4)
SA=2(30)+2(40)+2(12)
SA=60+80+24
SA=140+24
SA=164 ft^2
Como se lee 78,004,000
Answer: seventy-eight million
Step-by-step explanation:
seventy eight million four thousand / setenta y ocho million cuatro mil
Find the percent of decrease from 136 days to 85 days. round the percent to the nearest tenth if necessary.
The percent of decrease from 136 days to 85 days to the nearest tenth is 37.5%
Percentage decreaseOriginal days = 136 daysNew days = 85 daysChange in number of days = Original days - New days
= 136 days - 85 days
= 51 days
Percentage decease = Change in number of days / Original days × 100
= 51 / 136 × 100
= 0.375 × 100
= 37.5%
Therefore, the percent of decrease from 136 days to 85 days to the nearest tenth is 37.5%
Learn more about percentage decrease:
https://brainly.com/question/11360390
#SPJ4
A mobile phone company reported a 170% increase in sales in one year.
At the start of the year sales were 3 million.
What was the sales increase over the year?
million
The increase in sales after 170% increase with the initial sales 3 million is
5,100,000 (5 million and 1 lakh or 51 lakh).
Percentage means a number or a ratio represented in the form of fractions of 100. It is represented using the percentage sign ‘%’. The abbreviations used to represent the percentage are ‘pct’ or ‘pc’. In other words, the percentage is defined as how much of one quantity is made by another quantity and it is evaluated in terms of 100.
We have to increase the value by 170%.
The value of the percentage increase = 170% × 3,000,000
The new value = 3,000,000 + The value of the percentage increase
The new value = 3,000,000 + The value of the percentage increase
=3,000,000 + (170% × 3,000,000) = 3,000,000 + 170% × 3,000,000
=(1 + 170%) × 3,000,000 = (100% + 170%) × 3,000,000
=270% × 3,000,000 = 270 ÷ 100 × 3,000,000
=270 × 3,000,000 ÷ 100 = 810,000,000 ÷ 100
=8,100,000 million.
The actual change = The new value - 3,000,000
=8,100,000 - 3,000,000
=5,100,000 million or 5.1 million.
To learn more about percentage visit:
brainly.com/question/16797504
#SPJ1
Evaluate this function please:
f(g(2))
Answer: 2fg
Step-by-step explanation:
Rewrite using the commutative property of multiplication = 2fg
Parker says that any two congruent acute triangles can be arranged to make a rectangle. Tamika says that only two congruent right triangles can be arranged to make a rectangle. Is either of them correct? Explain your reasoning.
The statement of Tamika is correct.
How many congruent triangles do you need?Recall that we designate an angle as a place where two line meet. The magnitude of the angle could be measured by the use of a compass. A right angle triangle is a triangle that has an angle of ninety degrees as one of the angles.
Let us keep in mind that all the sides of a rectangle must have an angle of ninety degrees. This is because the sum of the angles in a rectangle must sum up to a total of three hundred and sixty degrees.
Having said that; when we consider the statements of the two persons and reason that if we have two right angled triangles, we could be able to make a rectangle because the four right angles that are required could be cut out of the two congruent right angled triangles. This implies that the statement of Tamika is correct.
Learn more about congruent triangles:https://brainly.com/question/22062407
#SPJ1
please help! i have PE in a bit!
Answer:
the answer is D (-2 + 4)
Step-by-step explanation:
the lower line shows -2 and the higher one shows +4
Plsss helppppp meeee
Answer: C
Step-by-step explanation:
g(7) = 7/8 (7) - 1/2
g(7) = 6.125 - 1/2
g(7) = 5.625 OR in fraction form, 45/8
The answer is C
Alvin decided to buy Samantha some candy. He bought her 6 lollipops and 5 petits 4 for $1.40 and then he decides to buy Megan 5 lollipops and 6 petits 4 for $1.35. How much did each cost
Lollipops costs $0.15
Petits costs $0.1
How to calculate the cost of lollipops and petits ?let x represent the cost of lollipops
let y represent the cost of petits
6x + 5y = 1.40.........equation 1
5x + 6x= 1.35.........equation 2
From equation 1
6x + 5y= 1.40
6x= 1.40 -5y
x= 1.40-5y/6
Substitute 1.40-5y/6 for x in equation 2
5(1.40-5y/6) + 6y = 1.35
7-25y/6 + 6y= 1.35
7-25y+36y/6= 1.35
cross multiply
7 +11y= 8.1
11y= 8.1-7
11y= 1.1
y= 1.1/11
y= 0.1
Substitute 0.1 for y in equation 1
6x +5y= 1.40
6x + 5(0.1)= 1.40
6x + 0.5= 1.40
6x= 0.9
x= 0.9/6
x= 0.15
Hence the cost of lollipops is $0.15 and cost of petits is $0.1
Read more on cost here
https://brainly.com/question/13683679?referrer=searchResults
#SPJ1
suppose a jar contains 9 red marbles and 14 blue marbles. if you reach in the jar and pull out 2 marbles at random at the same time, find the probability that both are red. answer should be in fractional form.
Answer: 2/23
Step-by-step explanation:
9+14=23
eli uses the factor theorem to determine whether x−2 is a factor of 6x5−22x2 11x−126.how does he proceed to the correct answer?
Answer:
Hello,
Step-by-step explanation:
[tex]P(x)=6x^5-22x^2+11x-126\\\\P(2)= 6*2^5-22*2^2+11*2-126=0\\\\x-2\ is\ well\ a \ factor\ of\ P(x).\\\\\begin{array}{c|ccccccc}&x^5&x^4&x^3&x^2&x&1\\---&---&---&---&---&---&---\\&6&0&0&-22&11&-126\\x=2&&12&24&48&52&126\\---&---&---&---&---&---&---\\&6&12&24&26&63&0\end {array}\\\\P(x)=6x^5-22x^2+11x-126=(x-2)*(6x^4+12x^3+24x^2-26x+63)\\[/tex]
Janine is packing carrots. each large box holds 20 2-pound bags of carrots. if janine has 800 bags of carrots, how many boxes can she fill? a. 20 boxes b. 40 boxes c. 80 boxes d. 200 boxes
The total number of boxes required for packing the carrots is 40 boxes.
What do you mean by the unitary method?The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unitary technique, in essence, determines the value of a unit from the value of a multiple. To put it simply, it determines the value of a single unit from a given multiple. How can you figure out the price of one pen if 100 cost Rs. 400? You can reach the solution using the unitary technique. Additionally, after a single unit's value has been established, the values of the other units can be derived by multiplying the original unit's value.
Janine is carrying carrots because of this. There are 20 2-pound bags of carrots in each huge box.
We must determine how many boxes Janine can fill.
Now, 800/20=40 boxes are equal to the total number of bags/bags each box can contain.
This means that a total of 40 boxes are needed to load the carrots.
To learn more about the unitary method, Visit:
https://brainly.com/question/930571
#SPJ4
Eric had 2 picnic baskets. He put 7 apples in each one. How many apples did he put into the picnic baskets.
Answer:
14
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
2 x 7 = 14 apples
A description of the distribution of the values of a random variable and their associated probabilities is called a.
A description of the distribution of the values of a random variable and their associated probabilities is called a Probability Distribution.
What is a random variable?Understanding the random variable and its probability is necessary for the analysis of complex random occurrences. The numerical result of a random process, which might be discrete or continuous in nature, is known as a random variable.
Now,
If the result of the random variable is tabulated along with the probabilities, it makes it easier to analyze random events. A probability distribution table is a description of the distribution of the values of a random variable along with their probabilities. Graphs and mathematical formulas can both be used to represent the probability distribution.Hence, A description of the distribution of the values of a random variable and their associated probabilities is called a Probability Distribution.
To learn more about random variables, refer to the link: https://brainly.com/question/17217746
#SPJ4
Question 1
-3 log x
O Bounded Above
O Not Bounded
O Bounded Below
O Bounded
Bounded
Bounded function
In mathematics, a function f is referred to as being bounded if the set of its values is bounded and it is defined on a set X with real or complex values. In other words, there is a real number M such that for all x in X, displaystyle |f(x)|leq M|f(x)|le M. Unbounded functions are those that are not bounded. The function is said to be bounded (from) above by A if f is a real-valued function and f(x) A for all x in X. The function is said to be bounded (from) below by B if f(x) B for all x in X. If and only if it is bounded from above and below, a real-valued function is said to be bound.
To learn more about bounded form the given link:
https://brainly.com/question/2506656
#SPJ9
The mode is the value of the observation that appears most frequently. true or false
The statement 'The mode is the value of the observation that appears most frequently.' is True.
We know that, the mode is the most frequent number.
It is the number that occurs the highest number of times.
The observation occurring the most number of times or which has highest frequency is known as the mode.
For example, in {6, 3, 9, 6, 6, 5, 9, 3} the Mode is 6 as it occurs most often.
There is no mode when all observed values appear the same number of times in a data set.
Therefore, the statement 'The mode is the value of the observation that appears most frequently.' is True.
Learn more about the mode here:
https://brainly.com/question/6813742
#SPJ4
A fruit stand is swlling mandarin oranges for $6 for 4 pounds. a mandarin orange weighs about 2 ounces. there are 16 oumces in a pound. at this rate, how many mandarin oranges can you buy for $
The number of mandarin oranges one can buy for $9 is 48 oranges. It is calculated using basic arithmetic operations.
What are arithmetic operations?
Arithmetic operations are the basic mathematical operations which deal with simple calculations. It involves addition (+), subtraction (-), multiplication (×), and division (÷). Arithmetic operations can be used to combine two or more expressions in some or the other way.
Calculation of the number of mandarin oranges one can buy for $9
We are given that,
$6 = 4 pounds
Using arithematic operation division,
Dividing by 6 into both sides, we have,
$1 = 4 / 6 pounds
$1 = 2 / 3 pounds
Using arithematic operation multiplication,
Multiplying the above equation with 9 on both sides,
$9 = (2 / 3) * 9 pounds
$9 = 6 pounds - - - - - (1)
According to the given question,
1 orange weighs 2 ounces - - - - -(2)
1 pound = 16 ounces
1 pound = 8 × (2 ounces)
Using equation 2,
1 pound = 8 oranges
Using equation 1,
$9 = 6 (8 oranges)
$9 = 48 oranges
Hence, one can buy 48 oranges for 9 dollars i.e. $9.
To learn more about arithmetic operations, visit here:
https://brainly.com/question/13181427
#SPJ4
(5-cosecB) (2 cosecB +4)
Answer:
Correct options are A) , B) , C) and D)
secA=
8
17
⇒cosA=
17
8
⇒sinA=±
17
15
cscB=
4
5
⇒sinB=
5
4
⇒cosB=±
5
3
Now cos(A+B)=cosAcosB−sinAsinB
⇒cos(A+B)=
17
8
.
4
5
−(±
17
15
.±
5
3
)=±
85
36
or ±
85
84
∴sec(A+B)=±
36
85
,±
84
85