Answer:B = 200
Step-by-step explanation:multiply both sides by 5
5*1/5 = 5*40
B = 200
A retail study by Deloitte revealed that 54% of adults surveyed believed that plastic, noncompostable shopping bags should be banned. Suppose 41% of adults regularly recycle aluminum cans and believe that plastic, noncompostable shopping bags should be banned. In addition, suppose that 60% of adults who do not believe that plastic, noncompostable shopping bags should be banned do recycle. If an adult is randomly selected,
a. What is the probability that the adult recycles and does not believe that plastic, noncompostable shopping bags should be banned?
b. What is the probability that the adult does recycle?
c. What is the probability that the adult does recycle or does believe that plastic, noncompostable shopping bags should be banned?
d. What is the probability that the adult does not recycle or does not believe that plastic, noncompostable shopping bags should be banned?
e. What is the probability that the adult does not believe that plastic, noncompostable shopping bags should be banned given that the adult does recycle?
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
How would you write odds in favor?
Answer: Odds in favor = Number of successes: Number of failures
Step-by-step explanation:
Example
A jewelry box contains 5 white pearl, 2 gold rings and 6 silver rings. What are the odds of drawing a white pearl from the jewelry box?
Number of successes = 5
Number of failures = 2 + 6 = 8
Numbers of ways to draw a white pearl: number of ways to draw another jewelry.
5:8
The odds are 5:8
I need help. Three different polygons in this shape and explain how I know? Help please thanks!
Answer:
why it say least
Step-by-step explanation:
as the first word
Well, it's a square, a rhombus and a rectangle.
In geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles, or 100-gradian angles or right angles). It can also be defined as a rectangle in which two adjacent sides have equal length.
A rhombus is a quadrilateral whose four sides all have the same length.
Hope I helped :)
If m•DBC = 74° and m•ABC = 119°, find m•ABD.
Answer:
193 degrees
Step-by-step explanation:
you add 74 degrees + 119 degrees and that equals up to 193 degrees
I need help with this question
Answer:
188 miles or 188.5 miles
Step-by-step explanation:50-17.95/17
10y
6
2-
10
-2
ZO
-4
-6
-8
-10
Write the equation of the line shown in function form:
Equation: f(x) =
A car travels west for 240 km in 4 hr. What is the car's velocity? *
1 point
16.67
Answer:
velocity of the car is 16.667
Step-by-step explanation:
first
changing si unit of both km and hrs into meter and second
then
v= m/s
v=240000/14400
v= 16.667m/s
Answer:
answer
Step-by-step explanation:
Velocity equals distance divided by time.
240 km divided by 4 h
Velocity equals 60 km/h W
HELP PRECALC WILL GIVE BRAINLIEST
Answer:
[500, 600, 500]
Step-by-step explanation:
Your friendly local matrix reducer will tell you the last column should be ...
500
600
500
__
Need helppppppp!!!!Solve the absolute value equation: |3x - 6| = 12
Answer:
3x-6=12
3x-6=-12
x=6
x= -2
1st x = -2
2nd x = 6
Step-by-step explanation:
12 x 3 x 8 + 3 + 1 - 100 x 2323
Answer:
-232008
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out expression
12 x 3 x 8 + 3 + 1 - 100 x 2323
Step 2: Multiply
36 x 8 + 3 + 1 - 100 x 2323
Step 3: Multiply
288 + 3 + 1 - 100 x 2323
Step 4: Multiply
288 + 3 + 1 - 232300
Step 5: Add
291 + 1 - 232300
Step 6: Add
292 - 232300
Step 7: Subtract
-232008
Answer
-232,008 is ans of this simplification
How are the entries of the matrix named by position?
Answer:
6=a23
8=a35
2=a32
Step-by-step explanation:
pls help me pls pls
x= -4
mark this as brainliest!!!
follow me!
Step-by-step explanation:
solution,or, 5x-3(x-2)=3x-2(x-1) or,5x-3x+6 =3x-2x+2 or,2x+6=x+2 or, 2x-x=6+2 ( therefore, x=-4)
Plz help! I dont understand this
Function notation
Given f(x) = 5x - 3, find f(-2).
Choose:
A-13
B-7
C-5
D0
Steps to solve:
f(x) = 5x - 3
~Substitute
f(-2) = 5(-2) - 3
~Simplify
f(-2) = -10 - 3
~Subtract
f(-2) = -13 (Option A)
Best of Luck!
Answer:
Step-by-step explanation:
f(-2) = 5(-2) - 3 = -10 - 3 = -13
A is the answer
Solve equation 4/3y = 18
Answer:
See Below
Step-by-step explanation:
[tex]\frac{4}{3} y = 18\\[/tex]
3 x [tex]\frac{4}{3} y = 18\\[/tex] x3
4y = 54
divide by 4
y= 13 1/2 or 13.5
please help me solve it
Answer:
I SUGHESTED THE ANSWER IS AUsing the distance formula, find the distance between these two points. Round to the nearest tenth. (8,9) and (3,2)
Answer:
The answer is
8.6 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(8,9) and (3,2)
The distance between them is
[tex]d = \sqrt{( {8 - 3})^{2} + ( {9 - 2})^{2} } \\ = \sqrt{ {5}^{2} + {7}^{2} } \\ = \sqrt{25 + 49} \\ = \sqrt{74} \: \: \: \: \: \: \: \: \: \: \\ = 8.60232...[/tex]
We have the final answer as
8.6 units to the nearest tenthHope this helps you
Will mark Brainliest!!!!! Suppose A, R, and B are collinear on AB, and
AR: AB = 1/4 What are the coordinates of R?
Please give explanation
Answer:
[tex]R(x,y) = (\frac{7}{4},\frac{1}{4})[/tex]
Step-by-step explanation:
Given
[tex]A = (1,-1)[/tex]
[tex]B = (4,4)[/tex]
[tex]AR:AB = 1:4[/tex]
Required
Determine R
This question will be solved using line ratio formula
[tex]R(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2+ny_1}{m + n})[/tex]
Where
[tex]A = (1,-1)[/tex]
[tex]B = (4,4)[/tex]
[tex]m:n = AR : RB[/tex]
Since R is on A and B;
[tex]AB = AR + RB[/tex]
[tex]4 = 1 + RB[/tex]
[tex]RB = 3[/tex]
Hence;
[tex]m:n = 1 : 3[/tex]
[tex]A = (1,-1)[/tex]
[tex]B = (4,4)[/tex]
[tex]R(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2+ny_1}{m + n})[/tex] becomes
[tex]R(x,y) = (\frac{1 * 4 + 3 * 1}{1+3},\frac{1 * 4 + 3 * -1}{1 + 3})[/tex]
[tex]R(x,y) = (\frac{4 + 3}{4},\frac{4 - 3}{4})[/tex]
[tex]R(x,y) = (\frac{7}{4},\frac{1}{4})[/tex]
What is the value of the correlation coefficient r of the data set?
You might have already done this now, but the answer is
0.84
I just finished the Quiz :)
This graph shows the solution to which inequality?
Solve the equation. 25=9x+4-6x
Step-by-step explanation:
[tex]25 = 9x + 4 - 6x[/tex]
[tex]25 - 4 = 9x - 6x \\ [/tex]
[tex]21 = 3x[/tex]
[tex] \frac{21}{3} = x[/tex]
[tex]7 = x[/tex]
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 7}}}}}[/tex]
Step-by-step explanation:
[tex] \star{ \tt{ \: 25 = 9x + 4 - 6x}}[/tex]
[tex] \sf{Step \: 1 \: }[/tex] : Collect like terms
Like terms are those which have same base
[tex] \longmapsto{ \sf{25 = 3x + 4}}[/tex]
[tex] \tt{Step \: 2 \: }[/tex] : Swap the sides of the equation
[tex] \longmapsto{ \sf{3x + 4 = 25}}[/tex]
[tex] \tt{Step \: 3 \: }[/tex] : Move 4 to right hand side and change it's sign
[tex] \longmapsto{ \sf{3x = 25 - 4}}[/tex]
[tex] \tt{Step \: 4}[/tex] : Subtract 4 from 25
[tex] \longmapsto{ \sf{3x = 21}}[/tex]
[tex] \tt{Step \: 5}[/tex] : Divide both sides by 3
[tex] \longmapsto{ \sf{ \frac{3x}{3} = \frac{21}{3}}} [/tex]
[tex] \tt{Step \: 6}[/tex] : Calculate
[tex] \longmapsto{ \sf{x = 7}}[/tex]
The value of x is 7
Hope I helped!
Best regards! :D
~TheAnimeGirl
4 (-2×+9) = - 2 (3×-7)
Answer:
Step-by-step explanation:
4(-2x + 9) = -2(3x -7) {use distributive rule}
4*-2x + 4*9 = -2*3x - 7*(-2)
-8x + 36 = -6x + 14
Subtract 36 from both sides
-8x + 36 - 36 = -6x + 14 -36
-8x = -6x - 22
Add 6x to both sides
-8x + 6x = -6x +6x - 22
-2x = -22
Divide both sides by (-2)
-2x/-2 = -22/-2
x = 11
Sixty three hundred thousandth in standard form what is it?
Answer:
63(10)^4
Step-by-step explanation:
630 000= [tex]63(10)^4[/tex]
Lisa paid $35.00 to join an online music service. If she purchases 18 songs each month at a cost of $0.75 per song, what will be the total amount she has spent after 4 months?
Answer:
Hi there!
Your answer is:
$89
Step-by-step explanation:
35+18x(.75)
Plug in 4 for x.
35+ 18(4) × (.75)
35+ 54
89$
Hope this helps
There are 4 consecutive integers that have a sum of 34. What are the integers
Answer:
consider integer are x, x+1, x+2, x+3
now x+(x+1) + (x+2) + (x+3) = 34
or, 4x + 6 = 34
or, 4x =28
x= 7
x =7
x+1 = 7+1 =8
x+2= 7+2=9
x+3= 7+3 =10
Answer:
Step-by-step explanation: 7,8,9,10
Solve -2a -5 > 3 Which graph shows the solutions?
Answer: a< -4 D
Step-by-step explanation:
Two points (p, q) on a linear supply function are ($2.55, 98,000) and ($6, 195,500).
⦁ Determine the supply function q = f(p).
⦁ What price would result in supplier offering 145,000 units for sale?
⦁ Interpret the slope of the function.
⦁ Determine the p intercept.
⦁ Sketch f(p)
Answer:
q ≈ 28270p +25935$4.21 will give a supply of 145,000slope is the supply increase per dollar of pricep-intercept is about -$0.92a graph is attachedStep-by-step explanation:
The two-point form of the equation of a line is useful for this.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
q = (195500 -98000)/(6.00 -2.55)(p -2.55) +98000
q = 97500/3.45(p -2.55) +98000
q ≈ 28269.9p +25934.8
__
For a supply of 145000, the price would need to be ...
145000 = 28269.9p +25934.8
119065 = 28270p
119065/28270 = p = 4.21
A price of $4.21 will result in a supply of $145,000.
__
The slope is the additional amount supplied for each dollar increase in price.
__
The price value that results in a supply of zero is ...
0 = 28270p +25935
-25935 = 28270p
-25935/28270 = p ≈ -0.92
The p-intercept is about -$0.92.
When people clear land to build a house or to plant corn and other crops, they are primarily modifying the __________. A. atmosphere B. hemisphere C. hydrosphere D. lithosphere
Answer:
d lithosphere
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
i just took the test
4 kitchen assistants can prepare 10kg of vegetables in 45 minutes. How long would it take 25 assistants to prepare
A deep sea diver is 4.5m below the water level At what depth he is now ? At what height is he now
Answer:
Step-by-step explanation:
Below the sea level should be mentioned by negative value
So, It is = - 4.5