This question is incomplete, the complete question is;
he Eco Pulse survey from the marketing communications firm Shelton Group asked individuals to indicate things they do that make them feel guilty (Los Angeles Times, August 15, 2012).
Based on the survey results, there is a 0.39 probability that a randomly selected person will feel guilty about wasting food and a 0.27 probability that a randomly selected person will feel guilty about leaving lights on when not in a room.
Moreover, there is a 0.12 probability that a randomly selected person will feel guilty for both of these reasons.
Required:
a. What is the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both (to 2 decimals)?
b. What is the probability that a randomly selected person will not feel guilty for either of these reasons (to 2 decimals)?
Answer:
a)
the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both is 0.54
b)
the probability that a randomly selected person will not feel guilty for either of these reasons is 0.46
Step-by-step explanation:
Given the data in the question;
lets A represent person feels guilty about wasting food and B represent leaving the light on when not in room;
probability; feel guilty about wasting food P(A) = 0.39
probability; feel guilty about leaving light on P(B) = 0.27
probability; feel guilty for both P(A ∩ B ) = 0.12
a)
probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both
p( A ∪ B ) = P(A) + P(B) - P(A ∩ B )
we substitute
p( A ∪ B ) = 0.39 + 0.27 - 0.12
p( A ∪ B ) = 0.54
Therefore, the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both is 0.54
b)
probability that a randomly selected person will not feel guilty for either of these reasons;
p( A ∪ B )' = 1 - p( A ∪ B )
p( A ∪ B )' = 1 - 0.54
p( A ∪ B )' = 0.46
Therefore, the probability that a randomly selected person will not feel guilty for either of these reasons is 0.46
Draw a square that has (-2,4) and (3,-1) as two of its vertices
Answer:
square with (-2,4) and (3,-1) vertices
The Candy Store is selling packs of gummies. A pack has 2 and 1/3 pound
of pineapple gummies and 1 and 5/6 pound of strawberry gummies. How
may pounds of gummies is in a pack?
Don’t know how to solve, help ?
Step-by-step explanation:
180 - 120 = 60
32 + 60 = 92
180 - 92 = 88
Use the distributive property to simplify 3 + 5c(2 + 6c) completely.
Answer:
Distributive property says that:
(A + B)*C = A*C + B*C
Now let's try to use it in our expression:
3 + 5*c*(2 + 6*c)
Here we can take the two terms inside the parentheses as A and B, and the term that multiplies them as C, then distributing we get:
3 + (5*c)*2 + (5*c)*(6*c)
Now remember that the multiplications are associative and commutative, then we can write this as:
3 + (2*5)*c + (5*6)*(c*c)
3 + 10*c + 30*c^2
And we can't simplify it anymore.
Write an equation in slope-intercept form for the line with slope -8 and y-intercept 8. The. Graph is he line.
Answer:
y=-8x+8
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept
y=-8x+8
Please solve this system of equations.
5x-2y=9
12x-8y=4
Answer:
(4,11/2)
Step-by-step explanation:
5x-2y=9
12x-8y=4
A quick look will tell us that neither the x- nor the y- coefficient is the same in both equations, so combining the two by addition or subtraction. We can see that 2 is a multiple of 8, since 2 x 4 = 8. We should multiply the first equation by 4.
4(5x-2y=9)
Now we need to decide if we should add or subtract the equations.
20x-8y=36
12x-8y=4
Since we need to have a -8 and a +8 to eliminate the variables, we should subtract them. Change all the signs of the second equation and combine.
20x-8y=36
-12x-8y=4
----------------
8x=32
Divide both sides by 8 to get the x-value:
[tex]\frac{8x}{8} = \frac{32}{8}[/tex]
x=4
Now that we have our x-value, we need to plug in the y-value.
5x-2y=9
5(4)-2y=9
20-2y=9
-2y=-11
y=11/2
So our solution is (4,11/2)
Let's check our work.
5x-2y=9
5(4)-2(11/2)=9
20-22/2=9
20-11=9
9=9
12x-8y=4
12(4)-8(11/2)=4
48-88/2=4
48-44=4
4=4
Our solution is correct.
Answer:
x=4,y=11/2
Step-by-step explanation:
5x−2y=9
12x−8y=4
In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.
5x−2y=9,12x−8y=4
To make 5x and 12x equal, multiply all terms on each side of the first equation by 12 and all terms on each side of the second by 5.
12×5x+12(−2)y=12×9,5×12x+5(−8)y=5×4
Simplify.
60x−24y=108,60x−40y=20
Subtract 60x−40y=20 from 60x−24y=108 by subtracting like terms on each side of the equal sign.
60x−60x−24y+40y=108−20
Add 60x to −60x. Terms 60x and −60x cancel out, leaving an equation with only one variable that can be solved.
−24y+40y=108−20
Add −24y to 40y.
16y=108−20
Add 108 to −20.
16y=88
Divide both sides by 16.
y=11/2
Substitute 11/2 for y in 12x−8y=4. Because the resulting equation contains only one variable, you can solve for x directly.
12x−8x11/2=4
Multiply −8 times 11/2.
12x−44=4
Add 44 to both sides of the equation.
12x=48
Divide both sides by 12.
x=4
The system is now solved.
x=4,y=11/2
The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day. They would like the estimate to have a maximum error of 0.14 gallons. A previous study found that for an average family the variance is 1.69 gallons and the mean is 15.9 gallons per day. If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water? Round your answer up to the next integer.
Answer:
A sample of 179 is needed.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.85}{2} = 0.075[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.075 = 0.925[/tex], so Z = 1.44.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
A previous study found that for an average family the variance is 1.69 gallon?
This means that [tex]\sigma = \sqrt{1.69} = 1.3[/tex]
If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?
A sample of n is needed, and n is found for M = 0.14. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.14 = 1.44\frac{1.3}{\sqrt{n}}[/tex]
[tex]0.14\sqrt{n} = 1.44*1.3[/tex]
[tex]\sqrt{n} = \frac{1.44*1.3}{0.14}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.44*1.3}{0.14})^2[/tex]
[tex]n = 178.8[/tex]
Rounding up
A sample of 179 is needed.
5. The owners of a two-person business make their decisions independently of each other and then compare their decisions. If they agree, the decision is made; if they do not agree, then further consideration is necessary before a decision is reached. The first owner makes the right decision 60% of the time; the second - 70% of the time. Enter your answers as decimals. 5(a) What is the probability that they make the right decision on the first try. 5(b) What is the probability that they make the wrong decision on the first try. 5(c) What is the probability that they delay the decision for further study.
Answer:
A. 0.42
B. 0.12
C. 0.45
Step-by-step explanation:
A. The probability that they make the right decision on the first try
First person = 60%
Second person = 70%
= 60% * 70%
= 0.42
B. Probability that they make wrong decision
= Wrong decision from first person * wrong decision from second person
Wrong decision = 1- right decision
= 1-0.60 * 1-0.70
= 0.40x0.30
= 0.12
3. Probability they delay decision
= 0.60(1-0.60)+0.70(1-0.70)
= 0.60x0.40 + 0.70x0.30
= 0.24+ 0.21
= 0.45
Help meeeeeeeeeeeeeeeee
Answer:
27
Step-by-step explanation:
The width of the frame is 9. If Marcia needs it to be THREE times as long as it is wide, that would mean she would have to multiply 3 x 9 which equals 27
Una caja contiene cinco bolas blancas, tres bolas negras y dos rojas.
¿Cuál es el minimo de bolas rojas que tendrías que añadir para que la probabilidad de
escoger una bola roja sea?
b. ¿Cuál es el mínimo de bolas negras que tendrías que añadir para que la probabilidad de
escoger una bola negra sea ?
Answer:
la primera es 10 la segunsa es 8000000000000
If Paul saves $3.00 every week for twelve weeks and then buys a CD for $15.00 plus 9% tax, how much money will he have left?
Answer:
18.90
Step-by-step explanation:
3x12=36
36-15=21
21 x 0.9
Answer:
$19.65
Step-by-step explanation:
12*3=36
15*.09=1.35
15+1.35=16.35
36-16.35=$19.65
Reflect across the x-axis. Then rotate the shape around point B' 120 degrees clockwise.
9514 1404 393
Answer:
see below
Step-by-step explanation:
Reflection across the x-axis just changes the signs of the y-coordinates. Rotation -120° about B' is difficult to do by hand. The transformation rule for that is ...
(x, y) ⇒ (x·cos(-120°) +y·sin(-120°), -x·sin(-120°) +y·cos(-120°))
(x, y) ⇒ ((-(x-3) +(y+2)√3)/2 +3, (-(x-3)√3 -(y+2))/2 -2)
__
It looks like your problem is presented in GeoGebra, which makes reflection and rotation easy.
A garden table and a bench cost $996 combined. The garden table costs $46 more than the bench. What is the cost of the bench?
Answer:
The cost of the bench is $475
Step-by-step explanation:
Let cost of garden table= x and cost of bench= y
x + y = 996 (eqn 1)
x - y = 46 (eqn 2)
eqn 1 + eqn 2
2x = 1042
2x/2 = 1042/2
x = 521
The cost of the garden table is $521.
Substitute x = 521 into eqn 1
x + y = 996
521 + y = 996
y = 996 - 521
y = 475
The cost of the bench is $475.
how do you write 16% as a decimal
Answer:
0.16
Step-by-step explanation:
rewrite 16 percent in the terms of per 100 or over 100.
16% = 16 over 100 or,
16% = 16/100
16 over 100 is the same as 16 divided by 100. So completeing the division we get:
16 ÷ 100 = 0.16
Thus, the answer is 0.16
hope this helps you :)
what is the remainder when the polynomial f(x) = x³ - x² + 3x - 2, is divided by 2x - 1
Answer:
Equate the divisor to 0
2x-1=0
2×=1
×=1/2
Putting onto the polynomial
f(1/2) = (1/2)³-1/2)²+3(1/2)-2
=-5/8
2(3x + 5) - 4(x - 1)
Simplified form
Answer:
5x+11
Step-by-step explanation:
Hope this helped!!!
Answer:
2x+14
Step-by-step explanation:
hope this helps!
have a great day!!
Solve for the value of r.
Answer:
14
Step-by-step explanation:
The two given angles are opposite angles and opposite angles always have the same measure. Knowing this, we can construct the following equation:
7r+6=8r-8
Subtract both sides by 6
7r+6-6=8r-8-6
7r=8r-14
Subtract both sides by 8r
7r-8r=8r-14-8r
-r=-14
Divide both sides by -1
r=14
I hope this helps!
 Consider the line segment LP with endpoint at L (-3, -5) and P (9, 7) and midpoint M.
What is the x—coordinate of N, the point that partitions segment MP in a 1 : 1 ratio?
A. 4
B. -4
C. -6
D. 6
Answer:
D. 6
Step-by-step explanation:
Finding M:
M is the midpoint of L and P, which is given by the mean coordinates of L and P.
x for L is -3, and for P is 9. So
(-3 + 9)/2 = 6/2 = 3
Finding N:
N is the midpoint between M and P, that is, the mean between the coordinates of M and P. So
(3 + 9)/2 = 12/2 = 6
The correct answer is given by option D.
Using complete sentences, explain the key features of the graph of the cosine function. (10 points)
Explanation is in a file
bit.[tex]^{}[/tex]ly/3a8Nt8n
The owner of a pet shop predicts that 10 out of 20 new puppies are male. He randomly selects 10 of the puppies, and notes that all 10 are male. Which of the following conclusions best supports his findings?
Select one:
10 of the puppies are male and 10 are female.
More than 10 of the puppies are male.
All 20 puppies are male.
Less than 10 of the puppies are male.
Answer:
A, 10 of the new puppies are male and 10 are female
Step-by-step explanation:
Really this is the one that makes the most since because if 10 of the puppies are male, then 10 must be female.
Answer: A
Step-by-step explanation:
Which of the following is √80 simplified?
what is the value when x = 2?
i need this asap!
Answer:
y=6!
Step-by-step explanation:
you can easily see it on the graph. on the x axis, 2 is equivalent to 6
Answer:
When x is 2 y equals 6.
Step-by-step explanation:
You go right on the graph two units then go up the y axis till the line intersects the lines. In this case the graphed point is (2,6)
If f(x)=3-x^2,find f(-2)
Answer:-1
Step-by-step explanation:f(x)=3-x2
This is also...
f(x)=3+[(-1)(x2)]
We will execute the exponential. Then, we will multiply the result by the coefficient of -1.
f(-2)=3-(-2)2
f(-2)=3-(+4)
f(-2)=3-4
f(-2)=-1
Please help I’m really need the help (NO LINKS ) (NO LYING ) PART 2 again again again
Answer:
Step-by-step explanation: i wont tell you the answer but ill thell you how to do it,soo the strat is to count where the line is as a different part then u just add em
example 1:41.6
8-4=4x4=16
8x3.2=25.6
16+25.6=41.6
:)
Answer:
A. 15
B. 25.6
C. 41.6
The number of students that participated in sports last year was 100. This year there are 140 students participating in sports. What is the percent of increase in the number of students participating in sports from last year to this year? __________%
Answer: 40%
Step-by-step explanation:
HOPE THIS HELPS ^^
In order to estimate the mean amount of time computer users spend on the internet each month, how many computer users must be surveyed in order to be 95% confident that your sample mean is within 11 minutes of the population mean? Assume that the standard deviation of the population of monthly time spent on the internet is 202 min. The minimum sample size required is_______computer users. (Round UP to the nearest whole number.)
Answer:
1568
Step-by-step explanation:
The computation of the minimum sample size is shown below:
Given that
Error E = 11
The population standard deviation [tex]\sigma[/tex] =217
Confidence level 1-α = 95%
Now following formula should be used
n > (Zalpha ÷ 2 × sigma ÷ E)^2
As we know that
Zalpha ÷ 2= 1.96
Now the sample size is
n> (1.96 × 202 ÷ 10)^2
= 1568
●10 Kate is reading a 500-page book. The graph below represents the relationship between the
number of hours Kate has spent reading and the number of pages she has read.
Kate’s
rate
0 1
50
2
100
3
150
200
4 5
250
6
300
350
400
450
x
y
Reading Rate
Number of Pa
ges Read
Time (in hours)
(5, 200)
On the grid in your Student Answer Booklet, copy the x-axis, the y-axis, and the line
representing Kate’s reading rate exactly as shown. Be sure to label the line “Kate’s rate.”
"200" (and any subsequent words) was ignored because we limit queries to 32 words
Kate is reading 40 pages per hour.
The whole book takes 12.5 hour to complete.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
From the data we have (5, 200) and (5,0)
then slope= (200-0) / 5
= 40
So, Kate is reading 40 pages per hour.
Now, to read the whole book i.e., 500 pages it takes
= 500/40
= 12.5 hours
Learn more about Slope here:
https://brainly.com/question/3605446
#SPJ2
Find the Value of x. I WILL GIVE YOU BRAINLIEST!!!!! +to the person who answers first)
Answer:
hi
Step-by-step explanation:
5x+10+2x+10+90=180
5x+2x=180-10-10-90
7x=70
x=10
have a nice day
Find the mean absolute deviation of the setback of data. 9, 12, 3, 5, 8
Answer:
3.5
Step-by-step explanation:
On a super clearance sale, bathing suits were marked 85% off. What is
the sale price of a bathing suit that was originally priced $60?
Answer: $9
Step-by-step explanation: 85% off means when you multiply the number by 0.85 you subtract that from the original number, 60 times 0.85 is 51 and 60-51=9! Hope this helps!
