Using conditional probability, there is a 0.6667 = 66.67% probability that a new product will be unpopular if a focus group study indicates that it will be unpopular.
What is Conditional Probability?Conditional probability is the probability of one event happening, considering a previous event. The formula is:
[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.For this problem, the events are given as follows:
Event A: Study indicates that the product is unpopular.Event B: Product is unpopular.The parameters are given as follows:
P(A) = 0.6 x 0.275 + 0.4 x 0.825 = 0.495.[tex]P(A \cap B) = 0.4 \times 0.825 = 0.33[/tex]Hence the conditional probability is:
[tex]P(B|A) = \frac{0.33}{0.495} = 0.6667[/tex]
0.6667 = 66.67% probability that a new product will be unpopular if a focus group study indicates that it will be unpopular.
More can be learned about conditional probability at https://brainly.com/question/14398287
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y+2=1/5(x+1)
graph?
Answer:
x=5Y+9, Plot on graph 1/5x-9/5
Step-by-step explanation:
The x intercept is (9,0)
The Y intercept is (0,-9/5)
You're selling tickets to a school play priced at $5 for students, $10 for parents, and $20 for general admission. The total sales are $2,500, you sell twice as many parent tickets as student tickets, and you selll 10 more students tickets than general admission. How many of each ticket did you sell?
A:60 student, 120 parent, and 50 general admission
B:40 student, 80 parent, and 30 general admission
C:80 student, 160 parent, and 70 general admission
D:90 student, 45 parent, and 80 general admission
Answer:
A
Step-by-step explanation:
7. What is the DEGREE of the following binomial:
3x-2
A new medical test has been designed to detect the presence of the mysterious Brainlesserian disease. Among those who have the disease, the probability that the disease will be detected by the new test is 0.7. However, the probability that the test will erroneously indicate the presence of the disease in those who do not actually have it is 0.08. It is estimated that 18 % of the population who take this test have the disease.
You may want to construct a table as in your course materials. Use a population of 10,000 people.If the test administered to an individual is positive, what is the probability that the person actually has the disease?Express your answer rounded correctly to three decimal places.
Solution :
It is given that :
P (positive | Has disease) = 0.7
P (positive | No disease) = 0.08
P (has disease) = 0.18
P (No disease) = 1 - 0.18
= 0.82
Now if test administered to the individual is positive, the probability that the person actually have the disease is
P (Has disease | positive) [tex]$=\frac{P(\text{positive}| \text{has positive}) \times P(\text{Has disease})}{P(\text{positive})}$[/tex] ......(1)
The P(positive) is,
[tex]$P(\text{positive}) = P(\text{positive} \cap \text{Has disease})+P(\text{positive} \cap \text{No disease})$[/tex]
= P(positive | has disease) x P(Has disease) + P(positive | no disease) x P(No disease)
= 0.7 (0.19) + 0.04 (0.81)
= 0.1654
Now substituting the values in the equation (1), we get
P (Has disease | positive) [tex]$=\frac{P(\text{positive}| \text{has positive}) \times P(\text{Has disease})}{P(\text{positive})}$[/tex]
[tex]$=\frac{0.7(0.19)}{0.1654}$[/tex]
= 0.8041
solve 3e = -27 show work
this one i dont understand how to do
Answer:
-9Step-by-step explanation:
This would be -27/3 = -9
Consider the linear function y = 5x + 12 and the linear function represented by the table of values below.
Answer:
(a) and (f)
Step-by-step explanation:
Given
[tex]y = 5x + 12[/tex]
See attachment for table and options
First, we calculate the slope of the table
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Using:
[tex](x_1,y_1) = (2,29)[/tex]
[tex](x_1,y_1) = (4,53)\\[/tex]
So, we have:
[tex]m = \frac{53- 29}{4 - 2}[/tex]
[tex]m = \frac{24}{2}[/tex]
[tex]m = 12[/tex]
The equation is then calculated using:
[tex]y = m(x -x_1) + y_1[/tex]
This gives:
[tex]y = 12*(x -2) + 29[/tex]
[tex]y = 12x -24 + 29[/tex]
[tex]y = 12x+5[/tex]
So, we have:
[tex]y = 5x + 12[/tex] --- The given equation
and
[tex]y = 12x+5[/tex] --- The equation of the table
An equation is represented as:
[tex]y = mx + b[/tex]
Where:
m = slope or rate of change
b = y intercept
So, for the given equation: [tex]y = 5x + 12[/tex]
Rate of change = 5
y intercept = 12
For the table: [tex]y = 12x+5[/tex]
Rate of change = 12
y intercept = 5
In conclusion:
(a) [tex]y = 12x+5[/tex] has the greater rate of change:
and
(f) [tex]y = 5x + 12[/tex] has the greater y intercept
16 emails to 6 text messages- 10 emails to 4 text messages proportional or not
Given:
16 emails to 6 text messages- 10 emails to 4 text messages
To find:
Whether 16 emails to 6 text messages- 10 emails to 4 text messages proportional or not.
Solution:
Check the ratio of emails to text. If the ratios are equal then the relation is proportional.
16 emails to 6 text messages.
[tex]\dfrac{Emails}{Text}=\dfrac{16}{6}[/tex]
[tex]\dfrac{Emails}{Text}=\dfrac{8}{3}[/tex]
[tex]\dfrac{Emails}{Text}=8:3[/tex]
10 emails to 4 text messages.
[tex]\dfrac{Emails}{Text}=\dfrac{10}{4}[/tex]
[tex]\dfrac{Emails}{Text}=\dfrac{5}{2}[/tex]
[tex]\dfrac{Emails}{Text}=5:2[/tex]
Since [tex]\dfrac{8}{3}\neq \dfrac{5}{2}[/tex] or [tex]8:3\neq 5:2[/tex], therefore, it is not proportional.
1000-(864%2+336%3+648%2)=
Answer:
959.72
Step-by-step explanation:
you have to simplify
Step-by-step explanation:
=1000-864%2-336%3-648%2
=1000-17.28-10.08-12.96
=-11123.36
5/9 TIMES 1/6 PLS HURRY I HAVE ONE MINUTE LEFT
Answer: 5/54
Step-by-step explanation:
Answer:
5/54
= 0,092
Step-by-step explanation:
thank you
hope this helps
The length of a rectangle is 4 inches longer than it is wide. If the perimeter is 52 inches, what are the
dimensions of the rectangle?
Answer:
L = 15
W = 11
Step-by-step explanation:
P = 2L + 2W
2L + 2W = 52 Divide each term by 2
2L/2 + 2W/2 = 52/2
L + W = 26 Substitute the value for L
W + 4 + W = 26
2W + 4 = 26
2W = 26 - 4 Subtract 4 from both sides
2W = 22 Divide by 2
W = 22 /2
W = 11
L = W + 4
L = 11 + 4
L = 15
Plz help! Answer at least one of these questions and i will give you brainly! It’s ok if you don’t know them all!
As a car moves along a section of the roadway in a mountain pass, it passes through a horizontal run of 950 feet and through a vertical rise of 35 feet. To the nearest foot, how far does the car move along the roadway?
Answer:
I believe it will be 55.9 or 56 along the roadway
Step-by-step explanation:
Hope this Helped
Substitute w = 1 and w = 3 to determine if the two expressions are equivalent.
Answer:
mineeeeeeeeeeee
Step-by-step explanation:
5/7 times 1/8 ANSWER IN UNDER 2 MINUTS AND ILL MAKE YOU BRAINLIEST
Answer:5/56 or a decimal form of 0.08928571
Step-by-step explanation:
Answer:
0.08928571428571428571428571428571
Step-by-step explanation:
I hope this helps!
Solve the following for c: 10c + 12 = - 48
Answer:
c = -6
Step-by-step explanation:
10c + 12 = -48
subtract 12 from both sides
10c = -60
divide by 10 on both sides
c = -6
Answer:
C = -6
Step-by-step explanation:
10c + 12 = - 48
-12 -12
10c = -60
/10 /10
c = -6
Your friend arrives and placed pieces appropriately on the board. What percent of the checker board squares have pieces?
URGENT I WILL GIVE BRAINLIEST TO CORRECT ANSWER
Answer:
25% of the board is covered with checker pieces.
Step-by-step explanation:
Answer:
If it's just for the pieces shown, it's just 0.125 or 12.5%, but if it's saying to include both sides (even though the picture doesn't represent this), it's just 0.25 or 25%
Step-by-step explanation:
8/64 or 16/64
Length of time for a shower and the amount of water used
A. Positive association
B. Negative association
C. No association
Andre bought a new bag of cat food. The next day, he opened it to feed his cat. The graph shows how many ounces were left in the bag on the days after it was bought.
How much did the bag weigh before it was opened?
Answer:
There were 16 ounces of Cat Food after 24 days.
If my radius is 10 feet, what is my diameter?
Answer:
Your diameter would be 20.
Step-by-step explanation:
1. Two radius added together is the diameter (if you're talking about a circle.)
2. You add 10+10 because as you said your radius is 10.
3. It would be 20.
Hope this helped!
REWRITE EACH PROBLEM AS A MULTIPLICATION QUESTION!
Hunter spent 2/3 of his money on a video game before spending half of his remaining money on lunch. If his lunch costs 10 dollars, how much money did he have at first?
Answer:
$60, because if $10 is half, then before lunch Hunter had $20.
If Hunter used 2/3 of his money to buy that video game, and remained with $20 that means that 1/3 of the original amount of money he had was $20.
$20 * 3 = $60. Hunter began with $60.
Step-by-step explanation:
hope this helped you! :)
AD is tangent to circle B at point C. What is the measure of angle BCA.
Answer:
90°
Step-by-step explanation:
Actually the question should be AC is tangent to circle B at point C. What is the measure of angle BCA.
AC is tangent and BC is radius.
Radius is perpendicular to the tangent.
Therefore,
measure of angle BCA = 90°
Allentown, Bakersfield, and Cowville are not in a line. If it is 57 miles in aline from Allentown to Bakersfield and 35 miles from Bakersfield to Cowville , how far is it from Allentown to Cowville?
Answer:
27
Step-by-step explanation:
322415154551
Answer:
92Step-by-step explanation:
Just simply add 57 to 35.
57+35=92
please help me thank you
Answer:
y= - 1/6x-2
I hope it helped
A washer and a dryer cost $450 combined. The cost of the washer is two times the cost of the dryer. What is the cost of the dryer?
Answer:
$150
Step-by-step explanation:
so you can divvy this up into 3 parts
$150 each
now put 2 parts into one, and one into the other. The cost of the washer is $150
cost of the dryer is$ 300
If Jimmy boy here has 35 ropes and he washes 56 paper, how much wetlands will Johnny Boy own left.
Answer:
All of what he had
Step-by-step explanation:
Answer: jimmy will have it all
Step-by-step explanation:
Decide if the following is a true or false statement - explain how you know
(- 1/2) - (4.25) is positive
Answer:
False
Step-by-step explanation:
The equation equals -1/2 - 4.25 which is -4.75, which is negative.
Hope that helps!
graph of function f(x)=1/x+7-14
DASAROLLA:
a) (x+3) (x+5)=
b) (x+4) (x-5)=
Answer:
a)[tex]x^{2}[/tex]+8x+15
b)[tex]x^{2}[/tex]-x-20
Step-by-step explanation:
a) (x+3)(x+5)
a)[tex]x^{2}[/tex]+5x+3x+15
a)[tex]x^{2}[/tex]+8x+15
b) (x+4)(x-5)
b) [tex]x^{2}[/tex]-5x+4x-20
b)[tex]x^{2}[/tex]-x-20
4
Jared has a collection of 90 movies on DVD. If
46 of the movies are comedies, 26 are drama,
and the rest are science fiction, what percent of
the movies are science fiction?
A) 18
B) 20
C) 28
D) 32
Answer:
A) 18
Step-by-step explanation:
add 46 and 26, you get 72
now, subtract 72 from 90 and what do you get?
........ not gonna tell me huh? XDD
you get 18, right???
to make sure you calculated correctly, add everything together
46 + 26 + 18 = 90!!!
yay! so from what ive just showed you, what can you determine???
that 18 of the movies are science fiction.
Good luck and I hope this helped, if so... would you please mark me as brainliest?? Thanks!!
Which value of x makes the two matrices inverses of each other?
5
2
1
-2
2
1
5
-2
-1
2
Answer:
A: -2
Step-by-step explanation:
TOOK THE TEST