Using conditional probability, it is found that there is a 0.6262 = 62.62% probability that the part is indeed defective.
Conditional Probability
[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.In this problem:
Event A: Positive test result.
Event B: Defective.
For the probability of a positive test result, we consider two scenarios.
99.5% of 1%(defective).0.6% of 100 - 1 = 99%(false positive).Hence:
[tex]P(A) = 0.995(0.01) + 0.006(0.99) = 0.01589[/tex]
The probability of a positive test result and being defective is:
[tex]P(A \cap B) = 0.995(0.01)[/tex]
The conditional probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.995(0.01)}{0.01589} = 0.6262[/tex]
0.6262 = 62.62% probability that the part is indeed defective.
A similar problem is given at https://brainly.com/question/14398287
What quadrant(s) is graph #5 in?
Answer:
Quadrant I: positive x and positive y.
Quadrant II: negative x and positive y.
Quadrant III: negative x and negative y.
Quadrant IV: positive x and negative y.
Step-by-step explanation:
At Ralphs 5 tomatoes cost $1.80.
At Vons 3 tomatoes cost $1.14.
Which is the better buy?
Answer:
I think 5 tomatoes cost $1.80
Answer:
Ralphs.
Step-by-step explanation:
Ralphs:
5 tomatoes = $1.80
1 tomato = $0.36
Vons:
3 tomatoes = $1.14
1 tomato = $0.38
Hence, Ralphs would be a better buy.
Every day you look out your window and see people walking dogs past your house with their dogs on a leash and a plastic bag in their hand. You conclude that all the people in your neighborhood are responsible dog-owners. What kind of reasoning is this?
Answer:
because they pick up there dog poop
Step-by-step explanation:
and they are good people
15 is 25 % of what number?
Answer:
60
Step-by-step explanation:
•••••••••••••••••
Solve for F
Fg=5
••••••••••••••••••
Answer:
F = 5/g
Step-by-step explanation:
We can divide both sides by g because F is being multiplied by g. Therefore, F = 5/g.
Solve: 2 x + 5y + 5 = 0
2y=3x+17.
Find x and y
Answer:
x = -5 and y = 1
Step-by-step explanation:
a) 2x + 5y +5 = 0
a) 2x + 5y = -5
b) 2y = 3x + 17
b) y = 3/2x + 17/2
a) 2x + 5(3/2x + 17/2) = -5
a) 2x + 15/2x + 85/2) = -5
a) 19/2x = -5 - 85/2
a) 19/2x = -95/2
a) x = (-95/2) / (19/2)
x = -5
b) 2y = 3(-5) + 17
b) y = 2/2
y = 1
Arnie is an American teaching English in Japan, and he currently has 55,000
yen in his bank account. If the exchange rate changes from 1 U.S. dollar=
90.77 Japanese yen to 1 U.S. dollar = 91.24 Japanese yen, what happens to
the value in U.S. dollars of the money in Arnie's bank account?
Answer:
The worth of his bank account in USD would go from $605.93 to $602.81 cents. This is because it due to the change in exchange rates it requires more yen to make up a dollar which would cause it to take more yen to make a dollar. I hope this helps :D
what is the value of y?
Answer:
y = 10
Step-by-step explanation:
2y + 30 and 3y + 20 are known as vertical angles. They are equal to one another.
[tex]2y+30=3y+20\\\\2y+30-2y=3y+20-2y\\\\30=y+20\\\\30-20=y+20-20\\\\10=y[/tex]
The price of an item has been reduced by 35%. The original price was 85.
Answer:
$43.82
Step-by-step explanation:
100 / 85 = 1.176
1.176 x 35 = 41.18
85 - 41.18 = 43.82
HEY. YES, YOU. PLEASE HELP
Answer:
it would be d
Step-by-step explanation:
yw
can anyone heelp me plzzzz
Answer:
1
Step-by-step explanation:
1 because we need to round down
(1000÷1)×10-5000 Giving Brainliest
Which transformation from the graph of a function f of x describes the graphs of 10
Answer:
vertical stretch by factor of 10
Step-by-step explanation:
vertical stretch by factor of 10
What is the range of the function y= 2e7-1?
Answer:
The range of y = ex is all numbers greater than 0, so since the function has been shifted up 1, the new range of the function is all numbers greater than 1. Since the argument of any log must be greater than 0, (x-1)/2 > 0. Thus x - 1 > 0, so x > 1
Answer:
defines the set of values [ 1, 2, 3, 4, 5 ], and the range
1 : 3 : 5
defines the set of values [ 1, 4 ].
Although a range constant specifies a row vector, Octave does not normally convert range constants to vectors unless it is necessary to do so. This allows you to write a constant like 1 : 10000 without using 80,000 bytes of storage on a typical 32-bit workstation.
A common example of when it does become necessary to convert ranges into vectors occurs when they appear within a vector (i.e., inside square brackets). For instance, whereas
x = 0 : 0.1 : 1;
defines x to be a variable of type range and occupies 24 bytes of memory, the expression
Sketch the graph of each line y=-9x-5
what is –5(–2) = i need help. will give brainlist
to corect awser.
Answer:
10
Step-by-step explanation: it'd be 10 because you're multiplying them and - by a - equals a positive!
[tex]-5(-2) = 10[/tex]
dani uses cotton balls to make snow men for an art project. dani has 14 cotton balls, and she uses 3 cotton balls to make each snow man.dani makes as many as she can.how many snowmen does dani make
Using the appropriate arithmetic operation, the number of snowmen Danny makes is 4
Total number of cotton balls = 14
Number of cotton balls per snowmen = 3
Creating a proportional relationship thus :
3 cotton = 1 snowman
14 cotton balls = x
Cross multiply
3x = 14
Divide both sides by 3
3x/3 = 14/3
x = 4.667
Hence, the number of snowmen that can be made is 4
Learn more : https://brainly.com/question/25644130
Answer:
4
Step-by-step explanation:
4. An archer shot a 0.12 kg arrow at a target. The arrow accelerated at 12,000 m/s to reach a speed of 50.0 m/s as it left the bow. During the acceleration, what was the net force on the arrow to the nearest newton?
Answer:
Step-by-step explanation:
ASSUMING you mean acceleration = 12000 m/s²
F = ma = 0.12(12000) = 1,440 N
A tournament has 187 athletes. There are 91 more girls than boys. Let X represent the number of girls and let Y represent the number of boys. Write the system of equations that represents this situation
Answer: Need more info
Step-by-step explanation:
The system of equations that represents this situation will be;
⇒ 2Y + 91 = 187
What is linear expression?
A linear expression is an algebraic expression where each term is either a constant or a variable raised to the first power.
Given that;
Total athletes in a tournament = 187
And, In a tournament 91 more girls than the boys.
Now,
Let X represents the number of girls.
Let Y represents the number of boys.
Since, There are 91 more girls than the boys.
So, We can formulate;
X = 91 + Y
And, There are 187 athletes in a tournament.
So, We can formulate;
X + Y = 187
Substitute X = 91 + Y in above equation as;
91 + Y + Y = 187
91 + 2Y = 187
Thus, The system of equations that represents this situation will be;
⇒ 2Y + 91 = 187
Learn more about the system of equation visit:
https://brainly.com/question/28586904
#SPJ5
Find the value of x, then find EF.
X=
EF=
Hi I hope u have a great time ...
CD = FE
thus :
[tex]3x + 5 = 7x - 39[/tex]
Add both sides 39
[tex]3x + 5 + 39 = 7x - 39 + 39[/tex]
[tex]3x + 44 = 7x[/tex]
Subtract both sides 3x
[tex]3x - 3x + 44 = 7x - 3x[/tex]
[tex]44 = 4x[/tex]
Switch sides
[tex]4x = 44[/tex]
Divide both sides by 4
[tex] \frac{4x}{4} = \frac{44}{4} \\ [/tex]
[tex]x = 11[/tex]
There u go have a great day ♡
Tyler’s brother works in a shoe store.
Tyler’s brother earns a commission. He makes 4.5% of the amount he sells. Last week, he sold $500 worth of shoes. How much was his commission? $
The store bought a pair of shoes for $20, and sold it for $55. What percentage was the markup?
%
Tyler’s brother earns $16 per hour. The store offers him a raise—a 3% increase per hour. After the raise, how much will Tyler’s brother make per hour? $
Include the original amount and the raise when calculating your answer for this question.
answer as fast as you can cause i am in class!!!!!
Answer:
Step-by-step explanation:
4.5%/100 = 0.045
$500*0.045 = $22.5
A: Tyler makes $22.5 in commision
($55-$20)/$20*100 = 175% markup
100%+3%= 103%
$16*103% = $16.48
A: he would be making $16.48/hr
8.
Write an equation in point-slope form for the line through the given point with the given slope.
(4, –6); m = 3/5
A. y - 6 = 3/5 (x+4)
B. y - 4 = 3/5 (x+6)
C. y + 6 = 3/5 x-4
D. y + 6 = 3/5 (x-4)
Answer:
D. y + 6 = 3/5 (x-4)
Step-by-step explanation:
Use the given slope and point to substitute into the point-slope formula y − y 1 = m ( x − x 1 ) .
Slope-intercept form: y = 3 /5 x − 42 /5
Point-slope form: y + 6 = 3 /5 ⋅ ( x − 4 )
Solve for x.
1.
(3x)º
(8x)º
37°
Answer:
x=13
Step-by-step explanation:
3x+8x+37=180
11x+37=180
11x=180-37
11x=143
x=13
39,104and37
Need the answer I’m lost
Answer:
A
Step-by-step explanation:
Help Quick Please i beg
Answer:
Molly bought 6 erasers.
Step-by-step explanation:
It says Molly spent $18 on a magazine and some erasers. That means she only bought 1 eraser.
18 - 6 = 12.
12 / 2 =6.
There are multiples of 6 and 8
respectively listed below. Write
the least common multiple of 6
and 8 in the box.
factor
6, 8, 12, 16, 18, 24, 30, 32,36,40,42,48
Answer:
16
Step-by-step explanation:
if you skip count the 6×3 & 8×2 you will get 16
Answer:
The least common multiple is 16
Compared to a model of 9/12 , a model of 3/4 will show -------------(A)3 Times as many B)1/3 times as many D)The same number of) parts that are each-----------(A)The same B)3 times the) size.
please help i need to get this done..;_;
9514 1404 393
Answer:
B, B
Step-by-step explanation:
A model of 9/12 will have 12 parts, 9 of which are shaded.
A model of 3/4 will have 4 parts (1/3 as many), 3 of which are shaded. Each part of this model will correspond to 3 parts of the 9/12 model. Hence, each part is 3 times the size of a part in the 9/12 model.
B) 1/3 times as many
B) 3 times the size
The stem and leaf diagram shows the ages of people in a cinema.
2 1 3
Key: 2 1 represents 21 years
3 0 2 2 5
4 3 4 6 8 9 9
5 0 2 2 3 5
a) What is the range of ages? Iyears
b) How many people are represented in the diagram?
people
c) What is the median age?
years old
Answer:
A 34
B 17
C 47
Step-by-step explanation:
PLEASE ILL GIVE BRAINLIEST! I NEED THIS ANSWER BY TODAY. NO LINKS AND DONT ANSWER IF YOU DONT KNOW!
I need help thanks very much
Answer:
154.92
Step-by-step explanation:
2014/13=154.92
