PLEAS HELP ASAP Fill in the missing probabilities on your paper and then answer the questions below. Make sure to type the ZERO before the decimal point. (example: 0.3 rather than .3) Give exact answers - do not round. please please please please help
Answers
This question is solved using probability concepts. We derive the probabilities from the tree given in the exercise, and with this, added to the use of conditional probability, we get the desired probabilities.
The probabilities are:
P(A) = 0.7, P(A and B) = 0.14, P(B) = 0.26, P(A or B) = 0.82, P(not B given A) = 0.8
Conditional probability:
In this problem, conditional probability concepts are used, and for this, we have that:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
P(A)
At the first node, we have that:
P(A) = 0.7
P(A and B):
From the first node, we have that [tex]P(A) = 0.7[/tex]
From A to B, there is 0.2, which means that [tex]P(B|A) = 0.2[/tex]
Thus
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]0.2 = \frac{P(A \cap B)}{0.7}[/tex]
[tex]P(A \cap B) = 0.7*0.2 = 0.14[/tex]
So
P(A and B) = 0.14
P(B):
P(B) = P(A and B) + P(not A and B).
P(not A) = 0.3, P(B|not A) = 0.4, then:
[tex]P(not A and B) = 0.3*0.4 = 0.12[/tex]
P(B) = 0.14 + 0.12 = 0.26
P(A or B)
We have that:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
We already have the three of them, so just replace:
[tex]P(A \cup B) = 0.7 + 0.26 - 0.14 = 0.82[/tex]
Then
P(A or B) = 0.82
P(not B given A)
If A happens, either B happens, or it does not. That is:
P(B|A) + P(not B|A) = 1
Since P(B|A) = 0.2
P(not B|A) = 1 - 0.2 = 0.8
Then
P(not B given A) = 0.8
To take another look at conditional probability, you can check https://brainly.com/question/24161830
Related Questions
2x+3y=19 // 6x+2y=22
Answers
Answer:
(2, 5 )
Step-by-step explanation:
Given the 2 equations
2x + 3y = 19 → (1)
6x + 2y = 22 → (2)
Multiplying (1) by - 3 and adding to (2) will eliminate the x- term
- 6x - 9y = - 57 → (3)
Add (2) and (3) term by term to eliminate x
0 - 7y = - 35
- 7y = - 35 ( divide both sides by - 7 )
y = 5
Substitute y = 5 into either of the 2 equations and solve for x
Substituting into (1)
2x + 3(5) = 19
2x + 15 = 19 ( subtract 15 from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
solution is (2, 5 )
If x^2-ax+b and x^2-cx+d both have a factor x-m prove that m=d-b/c-a
Answers
Answer:
see explanation
Step-by-step explanation:
Given (x - m) is a factor of both then x = m make both expressions equal to zero.
m² - am + b = 0
m² - cm + d = 0
Then
m² - am + b = m² - cm + d ( subtract m² - cm from both sides )
cm - am + b = d ( subtract b from both sides )
cm - am = d - b ← factor out m from each term on the left side
m(c - a) = d - b ← divide both sides by (c - a)
m = [tex]\frac{d-b}{c-a}[/tex] ← as required
Can someone help me here and check out the other two i have posted there both due soon and i have no clue how to do them
Answers
Answer:
Since the question doesn't mention in what tide the answer should be, I will be giving a solution to both, the high and low tide. Hope this helps :)
Step-by-step explanation:
Using a cosine function, where time is measured in hours past high
tide: y=4cos30x + 10
Using a cosine function, where time is measured in hours past low
tide: y = 4cos[30(x-6)]+10
Ross took a survey of his classmates' preferred food as well as recording their genders. The results are in the table below:
Answers
Answer:
30 people took part in the survey
Step-by-step explanation:
5+7+6+5+4+3= 30
simplify
please to the end
Answers
THIS MIGHT NOT BE RIGHT CAUSE I'M SICK
Mary can do a job in 80 minutes, Working with Jané, both can do the job in 30
minutes. How long will it take Jane to do the job alone?
Answers
Answer:
see below
Step-by-step explanation:
The equation to determine the work time is
1/a+1/b = 1/c where a and b are the times alone and c is the time together
1/80 + 1/30 = 1/c
Multiply by the least common denominator to clear the fractions, which is 240c
240c(1/80 + 1/30 = 1/c)
3c+8c = 240
11c = 240
Divide by 11
11c/11 =240/11
c = 240/11 minutes
c=21.81818
Approximately 22 minutes
Write an inequality and show on a number line all numbers:
less than 4 but greater than or equal to 0
Answers
Answer:
the inequality is 0<x<4
Step-by-step explanation:
(0,4)
q · 7/9 = 4
What is q?
Answers
Answer:
q = 36/7 or 5 1/7
Step-by-step explanation:
q · 7/9 = 4
Multiply each side by 9/7
q · 7/9 *9/7 = 4*9/7
q = 36/7
If we want it as a mixed number instead of an improper fraction
7 goes into 36 5 times with 1 left over
q = 5 1/7
write 3/2 4/5 8/5 in decimal notation
Answers
Answer:
hope it will help you Mark me as a brilliant
8. Which expression is greatest? Justify your answer.
a. 4 X -5
b. -5 + 4
c. -4- (-5)
Answers
Answer:
c
Step-by-step explanation:
i think this is the greatest because if you solve all of the expressions you will find out that this is the greatest.
a.4×-5=-20
b.-5+4=-1
c.-4-(-5)=1
therefore 1 is the greatest so the expression c is the greatest.
I hope this helps
Worth 6 points please help!!
Answers
Answer:
-9
Step-by-step explanation:
The average rate of change is found by
f(5) - f(2)
------------
5-2
10 - 37
----------
5-2
-27
-----
3
-9
help please I'll give brainliest
Answers
Answer:
35
Step-by-step explanation:
6:5
We need to get the first number to 43
6*7 = 42
Multiply each term by 7
6*7 : 5*7
42 : 35
if 1/a=1/b+1/c+1/d find c when a=2, b=3 and d=5
guys help me with this question please
Answers
Answer:
c is -30
Step-by-step explanation:
I. 1/a - 1/b - 1/d = 1/c
II. 1/2 - 1/3 - 1/5 = 1/c
III. (15-10-6)/30 = 1/c
IV. -1/30 = 1/c
V. so c.value is -30
Three pieces of wood measure 20 cm, 41 cm and 44 cm. If the same amount is cut off each piece, the remaining lengths can be formed into a right triangle. What is the length that is cut off?
Answers
5 cm or 29 cm
Step-by-step explanation:
Let x length is cut off from each measurements.
Thus, the new measurements would be: 20 - x, 41 - x, 44 - x, which forms the sides of a right triangle.
Here, (44 - x) will be hypotenuse and (20 - x) and (41 - x) will be perpendicular legs of the triangle.
Therefore, by Pythagoras theorem:
[tex] {(41 - x)}^{2} + {(20 - x)}^{2} = {(44 - x)}^{2} \\ \\ \therefore \: {(41)}^{2} - 82x + {x}^{2} + {(20)}^{2} - 40x + {x}^{2} \\ = {(44)}^{2} - 88x + {x}^{2} \\ \\ \therefore \: 1681 - 122x + 2 {x}^{2} + 400 \\ = 1936 - 88x + {x}^{2} \\ \\ \therefore \: 2081 - 122x + {x}^{2} = 1936 - 88x \\ \\ \therefore \: {x}^{2} - 122x + 88x + 2081 - 1936 = 0 \\ \\ \therefore \: {x}^{2} - 34x + 145 = 0 \\ \\ \therefore \: {x}^{2} - 29x - 5x+ 145 = 0 \\ \\ \therefore \: x(x - 29) - 5(x - 29) = 0 \\ (x - 5)(x - 29) = 0 \\ x - 5 = 0 \: or \: x - 29 = 0 \\ \\ \therefore \: x = 5, \: 29[/tex]
So, the length that is cut off will be either 5 cm or 29 cm.
An Olympic diver starts at 7.5 m above the water. During her dive, she goes
1.5
m below the water. What is the vertical distance the diver travels?
Answers
Given that an Olympic diver starts at 7.5 m above the water, during her dive, she goes 1.5 m below the water, the vertical distance the diver travels is 9 meters.
To determine what is the vertical distance the diver travels the following calculation must be performed:
The initial height must be subtracted from the final height, in order to obtain the difference between the two heights.
1.5 - (-7.5) = X1.5 + 7.5 = X9 = XTherefore, the vertical distance the diver travels is 9 meters.
Learn more about this topic in https://brainly.com/question/22089868?referrer=searchResults.
The vertical distance traveled by the Olympic diver is 6 m
The given parameters include:
initial position of the Olympic diver, x₁ = 7.5 m above the waterfinal position of the Olympic diver, x₂ = 1.5 m below the waterThe sketch of the Olympic diver's displacement is as follows;
x₁ ---------- 7.5 m
|
|
|
|
----------- water surface
|
↓
x₂ ------------ 1.5 m below water surface
The vertical distance from x₁ to x₂ = 7.5 m - 1.5 m = 6 m
Therefore, the vertical distance traveled by the Olympic diver is 6 m
To learn more about distance visit: https://brainly.in/question/7482539
If $a$ and $b$ are positive integers such that $\gcd(a,b)=210$, $\mathop{\text{lcm}}[a,b]=210^3$, and $a
Answers
Answer:
[tex]a * b = 210^4[/tex]
Step-by-step explanation:
Given
[tex]a,b>0[/tex]
[tex]gcd(a,b) = 210[/tex]
[tex]lcm(a,b) = 210^3[/tex]
Required
The product of a and b --- missing from the question
To do this, we make use of the following formula:
[tex]a * b = gcd(a, b) * lcm(a, b)[/tex]
So, we have:
[tex]a * b = 210 * 210^3[/tex]
Using the product law of indices, we have:
[tex]a * b = 210^4[/tex]
This means that the product of a and b gives [tex]210^4[/tex]
On another map, the distance between Saugerties and
Kingston is 2 inches. What would the distance from
Saugerties to Catskill be on this map?
Answers
Answer:
10miles
Step-by-step explanation:
Answer:
I have no clue what is going on wit dis g
Write in detail 5 goods that you get using money currency and 5 services that you can get using money currency.
Answers
The goods that money can buy include soap, bag, shoe, radio, television etc. The services that can be gotten include barbing, teaching, tailoring, catering, auditing etc.
Money is important in our everyday lives. We use money to make purchases of goods and it serves as a medium of exchange.
We can use money to buy goods like shoes, jewelry, radio, phone, bag, etc. When we need services such as barbing of our hair, teaching, tailoring, catering, auditing etc, we can make the purchase through money and the services will be given to us.
Read related link on:
https://brainly.com/question/11681948
Solve for x. Leave your answer in simplest radical form. *Giving brainliest*
Answers
Answer:
x= 10.630145
I hope it's helps you
Find the slope of the line that passes through (-26, 9) and (32, 71).
Answers
Answer:
[tex]Slope = \frac{31}{29}[/tex]
Step-by-step explanation:
Step 1: Define the slope formula
[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Step 2: Find the slope
[tex]Slope = \frac{71-9}{32-(-26)}[/tex]
[tex]Slope = \frac{62}{58}[/tex]
[tex]Slope = \frac{31}{29}[/tex]
Answer: [tex]Slope = \frac{31}{29}[/tex]
Evaluate the Expression z(z-7) when z=10
Answers
Answer:
30
Step-by-step explanation:
z(z-7)
Let z= 10
10(10-7)
Parentheses first
10 (3)
Multiply
30
Answer:
[tex]\huge\boxed{\sf 30\\}[/tex]
Step-by-step explanation:
= z ( z - 7 )
Put z = 10
= 10 ( 10 - 7 )
= 10 ( 3 )
= 30
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!URGENT PLEASE HELP. In the triangles below, DF MN, DG MP, D P. Can you prove that DFG MNP? Explain your answer. (15 points)
Answers
Answer:
FDG=NMP
Step-by-step explanation:
You can see below that the bases DG and MP are equal, and one of the saides DF and NM are equal, and D=P, so the triangles are the same, you can also see the triangles are isosceles, so they are the same since NM=FD=FG=NP and FD=NM is shown in the picture
• What is the smallest distance, in meters, needed for an airplane touching the runway with a velocity of 360 km/h and an acceleration of -10 m/s2 to come to rest? HELP
Answers
Answer:
i think ..................
Step-by-step explanation:
society idsbwj ja
9. An equation representing the height of a burning candle is H = 2(9 - 2t), where
H is the height of the candle in cm and
t is the amount of time that the candle has been burning in minutes.
How long will it take for the candle to burn down to a height of 4 cm?
a. 2 min
b. 3.5 min
C. 5.5 min
d. 7 min
Answers
Answer:
H= 4cm
we want t
4=2(9-2t)
2=(9-2t)
-7=-2t
t=3.5 minutes
29. SCUBA DIVING The sign shows the equipment rented or sold by a scuba
diving store.
a. Write two expressions to represent the total sales to rent 2 wet suits,
3 air tanks, 2 dive flags, and selling 5 underwater cameras.
b. What are the total sales?
Answers
The total sales to rent the diving items are :
2(17.25) + 3(15.50) + 2(5.00) + 5(18.99)
2(17.25 + 5.00) + 3(15.50) + 5(18.99)
The total sales to rent the diving items is : $185.95
Given the following rental cost:
Underwater Camera = $18.99
Air tank = $15.50
Wet Suit = $17.25
Dive Flag = $5.00
Expressions to represent the cost of :
2 wet suits, 3 air tanks, 2 dive flags and 5 underwater cameras
Price = price per item × quantity purchased
Expression 1 :
2(17.25) + 3(15.50) + 2(5.00) + 5(18.99)
Similarly, we could group items with the same quantity together :
2(17.25 + 5.00) + 3(15.50) + 5(18.99)
Using either of the two expressions above, the total sales can be calculated thus :
2(17.25 + 5.00) + 3(15.50) + 5(18.99)
2(22.25) + 3(15.50) + 5(18.99)
44.50 + 46.50 + 94.95
= $185.95
The expressions for the total sales to rent the diving items are given above with a total sales value of $185.95
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is there any responsible way to use student loans why or why not
Answers
Answer:just use your student loans that you need as a student don’t waste it on games or unnecessary things.
Step-by-step explanation:
1.) Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not have a solution.
2.) Create a single variable linear equation that has one solution. Solve the equation algebraically to prove that there is one distinct solution for the equation.
3.) Create a single variable linear equation that has infinitely many solutions. Solve the equation algebraically to prove that there is an infinite number of solutions for the equation
Answers
9514 1404 393
Answer:
x = x+10 = x+1x+1 = x+1Step-by-step explanation:
1. There will be no solution if the equation is a contradiction. Usually, it is something that can be reduced to 0 = 1.
If we choose to make our equation ...
x = x +1
Subtracting x from both sides of the equation gives ...
0 = 1
There is no value of the variable that will make this be true.
__
2. Something that reduces to x = c will have one solution. One such equation is ...
0 = x+1
x = -1 . . . . subtract 1 from both sides
__
3. Something that reduces to x = x will have an infinite number of solutions.
One such equation is ...
x+1 = x+1
Subtracting 1 from both sides gives ...
x = x . . . . true for all values of x
3/5 of 1 hour is? pls give me the answer
Answers
1hr=60min
[tex]\\ \sf\longmapsto \dfrac{3}{5}\;of\;60min[/tex]
[tex]\\ \sf\longmapsto \dfrac{3}{5}\times 60[/tex]
[tex]\\ \sf\longmapsto \dfrac{180}{5}[/tex]
[tex]\\ \sf\longmapsto 36min[/tex]
Can you please answer this and don't just give the answers also explain it how you got them? -Thank you
Answers
Triangle = 5
Circle = 25
Square = 100
Pentagon = 1600
Rectangle = 155
Step-by-step explanation:
6 x triangle = 3 x 10
Solve for 3 x 10
6 x triangle = 30
Divide both sides by 6
Triangle = 5
•••••••••••••••••••••••••••••••
Triangle x 20 = Circle x 4
Substitute triangle for 5
5 x 20 = Circle x 4
Solve for 5 x 20
100 = Circle x 4
Circle = 100 divided by 4
Circle = 25
•••••••••••••••••••••••••••••••
Circle + triangle = square minus 70
Substitute Circle and Triangle for their values
25 + 5 = square - 70
Solve for 25 + 5
30 = square - 70
Add 70 to both sides
square = 100
•••••••••••••••••••••••••••••••
Square x 8 = 1/2 of pentagon
Substitute square for 100
100 x 8 = 1/2 of pentagon
Solve for 100 x 8
800 = 1/2 of pentagon
Pentagon = 1600
•••••••••••••••••••••••••••••••
Pentagon divided by square = rectangle + 5
Substitute pentagon and square for their values
1600 divided by 100 = rectangle + 5
Solve for 1600 divided by 100
160 = rectangle + 5
Subtract 5 from both sides
Rectangle = 155
••••••••••••••••••••••••••••••••••
Rectangle x rectangle = ?
Rectangle = 155
Rectangle x rectangle = 24025
••••••••••••••••••••••••••••••••••
Using two independent samples, two population means are compared to determine if a difference exists. The population standard deviations are equal. The number in the first sample is fifteen and the number in the second sample is 12. How many degrees of freedom are associated with the critical value
Answers
Answer:
Hence the degrees of freedom are associated with the critical value is 25.
Step-by-step explanation:
Using two independent samples, two population means are
compared to determine if a difference exists, the population standard deviation is equal.
sample size 1 = [tex]n_{1}[/tex]= 15 and sample size 2 = [tex]n_{2}[/tex] = 12
since, population standard deviations are equal, required degrees of freedom
[tex]= n_{1} + n_{2} - 2 \\= 15 + 12 - 2\\ = 25[/tex]
