Answer:
a) 27.6%
b) 68.6%
c) 81.6%
d) 59.0%
e) 40.2%
Step-by-step explanation:
Let's say R = recycles, and B = believes bags should be banned.
We're given the following probabilities:
P(B) = 0.54
P(R and B) = 0.41
P(R given NOT B) = 0.60
a. Use conditional probability:
P(R given NOT B) = P(R and NOT B) / P(NOT B)
0.60 = P(R and NOT B) / (1 − 0.54)
P(R and NOT B) = 0.276
b. P(R) = P(R and B) + P(R and NOT B)
P(R) = 0.41 + 0.276
P(R) = 0.686
c. P(R or B) = P(R) + P(B) − P(R and B)
P(R or B) = 0.686 + 0.54 − 0.41
P(R or B) = 0.816
d. P(NOT R or NOT B) = 1 − P(R and B)
P(NOT R or NOT B) = 1 − 0.41
P(NOT R or NOT B) = 0.59
e. P(NOT B given R) = P(NOT B and R) / P(R)
P(NOT B given R) = 0.276 / 0.686
P(NOT B given R) = 0.402
Using conditional probability, it is found that:
a) 0.276 = 27.6% probability that the adult recycles and does not believe that plastic, noncompostable shopping bags should be banned.
b) 0.686 = 68.6% probability that the adult does recycle.
c) 0.816 = 81.6% probability that the adult does recycle or does believe that plastic, noncompostable shopping bags should be banned.
d) 0.59 = 59% probability that the adult does not recycle or does not believe that plastic, noncompostable shopping bags should be banned.
e) 0.402 = 40.2% probability that the adult does not believe that plastic, noncompostable shopping bags should be banned given that the adult does recycle.
-----------------------------------
Conditional probability:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
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.Item a:
Event A: Bags should not be banned.
Event B: Recycle.
54% believe shopping bags should be banned, thus 46% believe that it should not be banned, and [tex]P(A) = 0.46[/tex].Of those, 60% recycle, thus [tex]P(B|A) = 0.6[/tex].We want [tex]P(A \cap B)[/tex].[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]P(A \cap B) = P(A)P(B|A) = 0.46(0.6) = 0.276[/tex]
0.276 = 27.6% probability that the adult recycles and does not believe that plastic, noncompostable shopping bags should be banned.
Item b:
First, we have to find the proportion that recycle, given that they believe bags should be banned. Thus:
Event A: Believe bags should be banned.Event B: Recycle.54% of adults surveyed believed that plastic, noncompostable shopping bags should be banned.
Thus [tex]P(A) = 0.54[/tex].
41% of adults regularly recycle aluminum cans and believe that plastic, noncompostable shopping bags should be banned.
Thus P(A \cap B) = 0.41[/tex]
Then
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.41}{0.54} = 0.7592[/tex]
The probability that recycle is the sum of:
60% of 46%(do not believe bags should be banned)75.92% of 54%(believe bags should be banned).Then:
[tex]p = 0.6(0.46) + 0.7592(0.54) = 0.686[/tex]
0.686 = 68.6% probability that the adult does recycle.
Item c:
Sum of:
Recycle(68.6%).Do not recycle but believe bags should be banned(24.08% of 54%).Thus:
[tex]p = 0.686 + 0.2408(0.54) = 0.816[/tex]
0.816 = 81.6% probability that the adult does recycle or does believe that plastic, noncompostable shopping bags should be banned.
Item d:
Sum of:
Do not recycle(31.4%).Recycle but does not believe bags should be banned(27.6%).Thus:
[tex]p = 0.314 + 0.276 = 0.59[/tex]
0.59 = 59% probability that the adult does not recycle or does not believe that plastic, noncompostable shopping bags should be banned.
Item e:
Event A: Recycle.Event B: Believes should not be banned.68.6% recycle, thus [tex]P(A) = 0.686[/tex]27.6% recycle and believe bags should not be banned, thus [tex]P(A cap B) = 0.276[/tex]Then
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.276}{0.686} = 0.402[/tex]
0.402 = 40.2% probability that the adult does not believe that plastic, noncompostable shopping bags should be banned given that the adult does recycle.
A similar problem is given at https://brainly.com/question/21408404
What is the equivalent expression to 4(5+7) PLEASE HELP
Answer:
4 × 5 + 7
Step-by-step explanation:
I did the math.
.....
Answer:
Expression: 20 + 28, Answer: 48
Step-by-step explanation:
Distributive Property
4 * 5 + 4* 7
Expression: 20 + 28
Answer: 48
Can someone please help me out?
Answer:
S=46.6
Step-by-step explanation:
x is the number of years :
from 1998 to 2020 = 22 years
S-1.9x=4.8
S-(1.9)(22)=4.8
S=4.8+41.8
S=46.6
i’m stuck on this question please help me
Answer:
im pretty sure its the 2nd or 3rd one
Which statement Is true about these three line segments
Answer:
dlgSHJKAGDHFDKFKDK
Step-by-step explanation:
The inverse of f(x) = 2x + 3 is
O True
O False
The inverse of f (×) =2× + 3 is
yes it is true
BRAINLIEST!!Felicia had $80 when she went to a music store that charges $18 for each CD. She needs to have no less than $20 in her wallet when she leaves the store so she has enough money to buy gas for the ride home.
Which shows a possible number of CDs she could buy? Select three options.
1
2
3
4
5
Answer:
The possible number of CDs she could buy is 1, 2, and 3.
Step-by-step explanation:
First, you have to make an equation to solve to find the answer(s):
80 - (18 · x) ≥ 2080 is how much money Felicia has; 18 is for the cost of each CD; x is for the number of CDs; ≥ is no less; and 20 is how much money Felicia needs to have left.1.) 80 - (18 · 1) ≥ 20
80 - 18 · 1 ≥ 20
80 - 18 ≥ 20
62 ≥ 20
Since 62 ≥ 20 is always true, there are infinitely many solutions.
2.) 80 - (18 · 2) ≥ 20
80 - 18 · 2 ≥ 20
80 - 36 ≥ 20
44 ≥ 20
Since 44 ≥ 20 is always true, there are infinitely many solutions.
3.) 80 - (18 · 3) ≥ 20
80 - 18 · 3 ≥ 20
80 - 54 ≥ 20
26 ≥ 20
Since 26 ≥ 20 is always true, there are infinitely many solutions.
4.) 80 - (18 · 4) ≥ 20
80 - 18 · 4 ≥ 20
80 - 72 ≥ 20
8 ≥ 20
Since 8 ≥ 20 is false, there is no solution.
5.) 80 - (18 · 5) ≥ 20
80 - 18 · 5 ≥ 20
80 - 90 ≥ 20
- 10 ≥ 20
Since - 10 ≥ 20 is false, there is no solution.
Answer:
1,2,3
Step-by-step explanation:
2.4 times (-8.3) how much would it equal
it would equal -19.92
Answer:
= −19.92
Step-by-step explanation:
Three students from a 16 student class will be selected to attend a meeting. 6 of the students are female
I think you want 8/3 or 2.666666 or mabye 37%
Which equation is equivalent to x+5=12
Answer:
x=7
Step-by-step explanation:
what is −4(−5x+2)−3x−5= -30
Answer:
x = -1
Step-by-step explanation:
Step 1: Write equation
-4(-5x + 2) - 3x - 5 = -30
Step 2: Solve for x
Distribute -4: 20x - 8 - 3x - 5 = -30
Combine like terms: 17x - 13 = -30
Add 13 on both sides: 17x = -17
Divide both sides by 17: x = -1
Answer:
x = -1
Step-by-step explanation:
invere operation
−4(−5x+2)−3x−5= -30
20x - 8 -3x - 5 = -30
17x -13 = -30
17x = -17
x = -1
A spinner with 6 equally sized slices is shown below. (2 slices are yellow, 1 is blue, and 3 are red.) The dial is spun and stops on a slice at random. What is the probability that the dial stops on a yellow slice?
Answer:
1/3
Step-by-step explanation:
We have 6 slices
2 are yellow
P ( yellow) = number of yellow / total
= 2/6
= 1/3
Answer:. 1/3 probability that it stops on yellow.
Step-by-step explanation:
There are 6 possible outcomes. 2 are the incidents that you are looking for.
Make a ratio 2:6 or a fraction 2/6
Then simplify or reduce the fraction. 2/6 = 1/3
10 decreased by twice a is 23
THERE YOU GO I HAVE TO TYPE WORDS
If h(x) = 6 - X, what is the value of (nºn)(10)?
Answer:
(h°h)(10) = 10
Step-by-step explanation:
(h°h) = 6-(6-x) = x
h(10) = x
x = 10
How do i find the domain and range on a graph
Answer:
domain = x
range = y
m angle PQS= 3x; m angle SQR=5x-20
Find x
Let as consider the complete ques is : Ray QS bisects ∠PQR. Solve for x and find m∠PQR. m∠PQS = 3x ; m∠SQR = 5x-20.
Given:
Ray QS bisects ∠PQR.
m∠PQS = 3x
m∠SQR = 5x-20
To find:
The value of x and m∠PQR
Solution:
Ray QS bisects ∠PQR. So,
[tex]m\angle PQS=m\angle SQR[/tex]
[tex]3x=5x-20[/tex]
[tex]3x-5x=-20[/tex]
[tex]-2x=-20[/tex]
[tex]x=10[/tex]
The value of x is 10.
Now,
[tex]m\angle PQR=m\angle PQS+m\angle SQR[/tex]
[tex]m\angle PQR=3x+5x-20[/tex]
[tex]m\angle PQR=8x-20[/tex]
Put x=10,
[tex]m\angle PQR=8(10)-20[/tex]
[tex]m\angle PQR=80-20[/tex]
[tex]m\angle PQR=60[/tex]
Therefore, the m∠PQR is 60 degrees.
"Find y". I got this wrong and want to understand why and how to do the problem. Can someone please help?
Answer:
[tex]y=\frac{15\sqrt{3} }{4}[/tex]
Step-by-step explanation:
Well what you have here are two right triangles within another right triangles created by an altitude. This results in 3 similar triangles (see attached for reference)
As a result , using the properties of similar triangles, and taking ratios of their sides of the medium triangle and the largest triangle, we can form the following relationship:
[tex]\frac{b}{z}=\frac{y}{x} = \frac{z}{a+b}[/tex] (we know that a+b = 15), hence the equation becomes:
[tex]\frac{b}{z}=\frac{y}{x} = \frac{z}{15}[/tex] ----------eq 1
If we consider the largest triangle, we will see that
cos 30° = z / 15
but from our special angles (see second attachment) we know that cos 30° = (√3)/2
hence
(√3)/2 = z / 15
z = (15√3) / 2 --------eq 2
from the same largest triangle, we will also see that
sin 30° = x / 15
similarly from our special angles, we know that sin 30° = 1/2
hence,
1/2 = x/15
x = 15/2 --------eq 3
now that we have values for x and z, we can neglect the first term of equation 1 and form an equality with x, y and z
[tex]\frac{y}{x} = \frac{z}{15}[/tex]
[tex]y = x\frac{z}{15}[/tex] (substituting the values for x and z that we found above)
y = (15/2) · [ (15√3) / 2] / 15
y = (15√3) / 4
[tex]y=\frac{15\sqrt{3} }{4}[/tex]
How can you use unit rates to make comparisons
A fence on a hill uses vertical posts L and M to hold parallel rails N and P. If m∠1 = 115, then what is the measure of ∠16?
Step-by-step explanation:
Given information:
A fence on a hill uses vertical posts L and M to hold parallel rails N and P
The diagram is attached below
Here lines N and P are parallel lines
Transversal line for parallel lines N and P is line L
Calculation:
angle 1 and angle 16 are consecutive exterior angles
If parallel lines are cut by a transversal then consecutive exterior angles are supplementary
[tex]<1 +<16=180\\115+<16=180\\<16 = 180-115\\<16=65[/tex]
So measurement of angle 16 = 65 degrees
ASAP! I need some help with these 5 statistics questions please! (I will post them all separately).
Question 1: The mean time taken by all participants to run a road race was found to be 145 minutes with a standard deviation of 15 minutes. Using Chebyshev's theorem, find the percentage of runners who ran this road race in 100 to 190 minutes.
Round your answer to the nearest integer.
Subtract.(–3x2+4x4–8x)–(–6x+3x4+2)
Answer:
x⁴ - 3x² - 2x - 2
Step-by-step explanation:
Step 1: Write out expression
(-3x² + 4x⁴ - 8x) - (-6x + 3x⁴ + 2)
Step 2: Distribute negative
-3x² + 4x⁴ - 8x + 6x - 3x⁴ - 2
Step 3: Combine like terms (x⁴)
x⁴ - 3x² - 8x + 6x - 2
Step 4: Combine like terms (x)
x⁴ - 3x² - 2x - 2
Identify the domain of the function shown in the graph.
O A. -7 sys7
B. xso
C. y= 1.5
O O
D. xis all real numbers.
Answer. X is all real numbers
Step-by-step explanation:
Did it on apex
PLS HELP I DONT UNDERSTAND :( WILL GIVE BRAINLIEST !!!
the answer is c
i already done it
Answer:
1/3 would be your answer
Step-by-step explanation:
anyway have a great day
Consumers sometimes make choices that cause negative information to be put on their credit reports. Which of these is the most likely number of years that this negative information will remain on their credit reports? O A. 3 to 6 years OB. 7 to 10 years O C. 11 to 14 years OD. 15 to 18 years
Answer:
7-10 years
Step-by-step explanation
A negative choice will stay on for about 7 years in real life, so it would be B since the answer choice B was the only one with the number 7 in it
The most likely number of years that this negative information will remain on their credit reports will be 7 to 10 years.
What is a negative credit card report?Generally speaking, negative information such as late or missed payments, accounts that have been sent to collection agencies, accounts not being paid as agreed, or bankruptcies stays on credit reports for approximately seven years.
Here is a breakdown of some of the different types of “negative” information and how long you can expect the information to be on your Equifax credit report:
Late payments remain on a credit report for up to seven years from the original delinquency date -- the date of the missed payment.
Bankruptcy public records stay on your Equifax credit report from seven to 10 years, depending on the type of bankruptcy.
Other negative accounts, such as repossessions, can also stay on your report for up to seven years from the date of the first missed payment that led to the negative status.
Hence The most likely number of years that this negative information will remain on their credit reports will be 7 to 10 years.
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If 3(y + 12) = 24, find the value of 18y.
Please solve this. It is confusing for me
HELP QUICK
Remove grouping symbols and combine like terms.
4a2 - 3[2b - 3b(b - 1)]
Answer:
[tex]4a^{2} + 9b^{2} + 3b[/tex]
Step-by-step explanation:
Distributive Property
[tex]4a^2 - 3(2b - 3b^{2} + 3b)[/tex]
Distributive Property
[tex] {4a}^{2} - 6b + 9b^{2} + 9b[/tex]
Combine Like Terms
[tex]4a^{2} + 9b^{2} + 3b[/tex]
Jane wants to determine the shortest route from her home to her workplace.
She walks only on the sidewalks indicated by dotted lines on the map. What is
the distance of the shortest route from home to work to the nearest block?
(IMPORTANT NOTE - 1) Turn radicals into decimals. 2) Do not round decimals
until the very end of the problem).
HELP PLEASE I have no idea how to do this
Answer:
did anyone figure this out
The distance between two points on a plane can be found by Pythagoras's theorem.
The shortest route from her home to her workplace is the route that passes along the block in the middle of the graph ,which is approximately 2.5 blocks shorter, than the apparently next shortest route.
Reason:
The shortest distance between two points is a straight line.
The shortest route to her workplace are the routes that approximate a straight line the most.
Following the dotted lines, there are two routes, that are approximately direct and therefore short routes to her workplace which are;
The route heading past the block close to the center of the map to her workplaceThe route to the left of the above routeTaking the route that passes close to the center of the map to her workplace ,gives;
Path 1 = √(2² + 4²) = 2·√5 (by Pythagoras's theorem)
Path 2 = √(1² + 2²) = √5
Path 3 = 1 + 1 = 2
Path 4 = √(2² + 3²) = √13
Path 5 = 3
Cumulative distance = 2·√5 + √5 + 2 + √13 + 3 ≈ 15.3
Taking the route to the left of the above route, gives;
Path 1 = √(2² + 4²) = 2·√5
Path 2 = 7 + 6 = 13
Cumulative distance = 2·√5 + 13 ≈ 17.5
Therefore, the shortest route is the route that heads to her workplace, through, close to the center of the map, which approximately 17.5 blocks - 15.3 blocks = 2.5 blocks shorter
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What property is 6m*1=6m
The property is Multiplicative identity,
what is Multiplicative identity?An identity element (such as 1 in the group of rational numbers without 0) that in a given mathematical system leaves unchanged any element by which it is multiplied.
Given:
6m*1=6m
As, It states that if a number is multiplied by 1 the resultant will be the number itself. “1” is the multiplicative identity of a number. It is represented as p × 1 = p = 1 × p. Let us understand the relation with help of a real number example.
Here let say p = -3. Putting the value of p in p × 1 = p = 1 × p, we get
−3 × 1 = −3.
So, if 6m is multiplied by 1 it gives 6m using multiplicative identity.
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what is 4/y+2=10/5y?
If h(x)=-3x^2-4 and k(x)=4x-3, find h(k(2))
Answer:
-79
Step-by-step explanation:
Set up the composite function and simplify.