Answer:
0.0097 = 0.97% probability that it is defective
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It 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.
In this question:
Event A: Product is shipped.
Event B: It is defective.
Probability of the product being shipped:
100 - 10 = 90% of 85%(not defective).
5% of 100 - 85 = 15%(defective). So
[tex]P(A) = 0.9*0.85 + 0.05*0.15 = 0.7725[/tex]
Probability of being shipped and being defective:
5% of 15%. So
[tex]P(A \cap B) = 0.05*0.15 = 0.0075[/tex]
What is the probability that it is defective?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0075}{0.7725} = 0.0097[/tex]
0.0097 = 0.97% probability that it is defective
If a car moves 12 km North,19 km east, and 12 km south, what is its displacement
Answer:
19 km east
Step-by-step explanation:
By going North 12 then south 12 the two cancel eachother out leaving only the eastern movement
Answer:
19 km, East
Step-by-step explanation:
I hope you get it right
what does proportion mean in algebra when dealing with graphs
I need an answer quick!!!
Answer:
0.34
Step-by-step explanation:
it is between 0.3 and 0.4 so obviously 0.3 is going to be there, but the next digit will be 4 because it moves 4 places to the right.
Answer:
The answer is .34
When you see a question like this you just go down to the next decimal place. In this example you count: .31, .32, .33, .34... and so on.
Tiya earns $7 an hour mowing her neighbor's lawn.
Part A: Create two variables and determine which is dependent and which is independent for this situation. (4 points)
Part B: List three ordered pairs to show the values of the two variables. (3 points)
Part C: Write an equation to represent the relationship between the two variables. (3 points)
Part A) The independent variable is the hours that Tiya mows her neighbor's lawn, and we can denote that with x. It's the variable that isn't affected by other factors. The dependent variable is the amount of money Tiya earns, which we can denote with y. The dependent variable is the variable that is affected by other factors. The amount of money Tiya makes depends on how many hours she works.
Part B) As stated in part A, x is the hours and y is the money earned. The ordered pairs are in (x, y) form, with x being the hours and y being the money earned. For example, if Tiya worked one hour, x would be 1. As she earns 7 dollars per hour, she would earn 7 dollars (1*7), which is y. Therefore, one ordered pair could be (1, 7). Two hours would give Tiya 14 dollars, so we have another pair of (2, 14). Three hours would give Tiya 21 dollars, so we have (3, 21). We can do that for any numbers.
Part C) With every hour, Tiya earns 7 dollars. In order to find y, which is the amount of money totally earned, we multiply x by 7 (7 dollars per hour). Therefore, y = 7x.
The variables are:
x = number of hours that she worksy = how much she gets paid.And the proportional relation that relates them is:
y = $7*X
How to define variables?
The only information that we know is that Tiya earns $7 per hour, so the only variables that we can use are money and time.
The independent variable will be time, because she can decide how much time can she work. The dependent variable is money, because how much she earns depends on how many hours she works.
How to get ordered pairs?The ordered pairs are of the form (number of hours, money).
Some examples for this case are:
(0 hours, $0)(1 hour, $7)(2 hours, $14).How to get the equation?We define the variables.
x = number of hours that she worksy = how much she gets paid.Because she wins $7 per hour, the proportional equation will be:
y = $7*x
If you want to learn more about proportional equations, you can read:
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The deli at the local grocery store sells chicken for $3.80 per pound, beef for $3.50 per pound, and salami for $2.90 per pound. Write an expression that shows how much it will cost to buy c pounds of chicken, b pounds of beef, and s pounds of salami.
Write an expression that shows how much it will cost to buy c pounds of chicken, b pounds of beef and s pounds of salami
Then, find the cost for 1 pound of chicken, 1.8 pounds of beef, and 3.2 pounds of salami.
The cost of 1 pound of chicken, 1.8 pounds of beef, and 3.2 pounds of salami is $_
Answer:3.8c+3.5b+2.9s=total cost 19.38$
Step-by-step explanation:
- Solve the equation 3 + n = 12
Answer:
n = 9
Step-by-step explanation:
Method 1(Algebra) :
3 + n = 12
3 - 3 + n = 12 - 3
n = 9
Method 2:
3 + n = 12
Move 3 to the other side of the equation.
n = 12 - 3
n = 9
Please help with my hw I cannot figure this out
Answer:
K 1 k'1
J2 j'5
L,0 l'5
Step-by-step explanation:
Wavelength and Frequency
A chord consists of notes that sound good together. the C major chord, starting at middle C, has the following frequencies:
C - 262 Hz
E - 330 Hz
G - 392 Hz
Determine the ratio of the frequency of G to C. Express the answer in a simple integer ratio. (Due to rounding the ratio will be approximate. )
a. 5 to 4
b. 3 to 2
c. 6 to 5
d. 9 to 8
Please select the best answer from choices provided
Answer:
B. 3 to 2
Step-by-step explanation:
I calculated it logically
The ratio of the frequency of G to C is 1.5. So, option b is correct.
What is meant by frequency ?Frequency of a wave is defined as the number of oscillations completed by the wave in one second.
Here,
The frequency of note G, f(G) = 392 Hz
The frequency of note C, f(C) = 262 Hz
The ratio of the frequency of G to C, r = frequency of G/frequency of C
r = f(G)/f(C)
r = 392/262
r = 1.496 approximately r = 1.5
Hence,
The ratio of the frequency of G to C is 1.5
To learn more about frequency, click:
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Solve for x:
5/8=X-1/9
Answer:
x=5/8+1/9
x=53/72
......
Answer:
53/72 you didn't give me the answer choices but this is the exact form of this equation
Plz help 27 pt this is getting graded plz plz Plz
Answer:
517.2
Step-by-step explanation:
It has sides you're not seeing so don't forget those.
You need to find the area of the front, back, two sides, and bottom
Front & back:
6*5.2* 1/2
31.2/2 = 15.6 for each
Sides:
27*6 = 162 each
Bottom:
6*27 = 162
162+162+162+15.6+15.6= final answer
Answer: B
Step-by-step explanation:
First, you do 5.2 times 6 divided by two which is 15.6. Now you do 15.6 times two since there are two triangles and get 31.2. Now you do 27 times 6 times two and get 324 + 31.2 = 355.2. Lastly, you do 27 times 6 to get 162. 162+355.2 = 517.2
What is the degree?
6−n
2
+5n
3
Which elements present the whole? a. percentage b. base c. rate d. both a and b
1. Base presents the whole number
❤️#CARRYONLEARNING ❤️
what is 3 x 3 x 9 x 9 x 81 x 81 x 6561 x 6561
Answer:
205891132094649
If right I’ll mark brainiest if u have questions put it in the comments
Answer:
6
Step-by-step explanation:
The interquartile range is calculated by subtracting the first quartile from the third quartile. Box and whisker plots make it pretty easy to find the quartiles. The first quartile is the point where the box starts, and the third is where the box ends. The second is the median/line in the middle of the box.
So for that first box plot on the top, the first quartile is 7, because that's where the box begins. The third quartile is 22 because it's where the box ends.
For the second one, the first quartile is 8 and the third is 17.
To find the interquartile range of each, subtract the first quartile from the third. 22-7 = 15 and 17-8 = 9.
Now to find the difference in the interquartile ranges, subtract 9 from 15. You get 6, so that is the answer :)
What is 4h when h=25?
Answer:
100
Step-by-step explanation:
When h has the value 25, the expression 4h has the value 4(25), or 100.
Answer:
100
Step-by-step explanation:
4(25)=100
Please help me!
Will give brainlst :)
Directions: Solve for the surface area of the following figures using the formula.
no links pls. i really need it T-T
Answer:
3^3 x 3.14
9 x 3.14 = 28.26
28.26 x 2 = 56.52
2 x 3.14 x 3 = 18.84
18.84 x 10 = 188.4
Now lets add all given areas:
56.52 + 188.4 = 244.92 m^2 for question 1
4 x 3.14 x 12^2
4 x 3.14 x 144 = 1,808.64 cm^2 is your answer for question 2
14^2 x 3.14
196 x 3.14 = 615.44
3.14 x 14 x 33 = 1450.68
1450.68 + 615.44 = 2,066.12 cm^2 is your answer for question 3 I think
There were 35 children and 10 adults at a cookout. What is the ratio of adults to children at the cookout?
Answer:
2:7
Step-by-step explanation:
10:35 can also be written as 2:7
Thenks and mark me brainliest :))
line f has a slope of -3. what is the slope of the line that is parallel to line f
Answer:
A line parallel has the same slope, so -3
The slope of the line that is parallel to line f is -3.
The given line f has a slope of -3.
We need to find the slope of the line that is parallel to line f.
What are parallel lines slope?The slope of parallel lines. The slope of parallel lines is equal. The parallel lines are equally inclined with the positive x-axis and hence the slope of parallel lines is equal. If the slopes of two parallel lines are represented as [tex]m_{1}[/tex], [tex]m_{2}[/tex] then we have [tex]m_{1}=m_{2}[/tex].
So, the slope of the parallel line=-3
Therefore, the slope of the line that is parallel to line f is -3.
To learn more about the slope of parallel lines visit:
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The graph of a linear equation is shown. y ОN HNWO -7-6-5-4-3-2-11+1234 5 6 7 -27 -3 가 Place values in the table to show three ordered pairs that are each part of the solution set of the linear equation. 2 P. y – 4 2 -6 -3 - 6
Answer:
n
Step-by-step explanation:
s
out of 20 consecuative whole number two are chsen at random.then the probability that ther?
Answer:
2/20
Step-by-step explanation:
since,there are 20 whole number and if u put 2 random number the,
probability(P)=favorable outcome/possible outcome
so p=2/20
Thank You
What would this One be??
Answer:
the pre-image and the image are congruent
Step-by-step explanation:
Answer:
i think its c
Step-by-step explanation:
solve for x. label the sides adj, opp, and/or hyp based on the part you see. show work round to the nearest 10th
Answer:
[tex]x=37.4[/tex]
Step-by-step explanation:
In an right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse (a/h).
Therefore, we have the following equation:
[tex]\cos 68^{\circ}=\frac{14}{x},\\x=\frac{14}{\cos 68^{\circ}}\approx\boxed{37.4}[/tex]
The function f (x) varies directly with x and f (x) = 160 when x = 40.
What is f () when x = 8?
2
32
5
20
Answer:
it is 32.
I know this because it was in my last year syllabus
The window has the shape of a kite. How many square meters of glass were used to make the window?
Answer:
1568cm²
Step-by-step explanation:
28cm + 28cm = 56cm
35cm + 21cm = 56cm
56 × 56 = 3136cm²
3136cm² ÷ 2 = 1568cm²
College Math! Calculus!!!
Answer:
[tex]\int _0^{\frac{3\pi }{2}}\left|\sin \left(x\right)\right|dx[/tex] = [tex]3[/tex]
Step-by-step explanation:
[tex]\int _0^{\frac{3\pi }{2}}\left|\sin \left(x\right)\right|dx[/tex] = [tex]\int _0^{\pi }\sin \left(x\right)dx+\int _{\pi }^{\frac{3\pi }{2}}-\sin \left(x\right)dx[/tex] = [tex]2+1[/tex] = [tex]3[/tex]
A recent survey showed that 23.3 million adults have cut the cord on cable TV services, a 30% increase fron the previous year. If this trend continues, how many millions if adults can be expected to cut the cord next year?
Answer:
30,290,000 people
Step-by-step explanation:
The question is asking if the trend continues from the PREVIOUS year, so we would find the 30% of 23,300,000
23,300,000/100 = 233,000 = 1%
233,000 x 30 = 6,990,000
23,300,000 = 6,990,000 = 30,290,000
Find the height of a rectangular pyramid with a length of 15.8 meters, a width of 9.2 meters, and a volume of 1235.56 cubic meters
Find the measure of the exterior angle.
Answer:
u = 143º
Step-by-step explanation:
Sum of angles in a triangle is 180
The unknown angle IN the triangle
x + 90 + 53 = 180
x + 143 = 180
x = 37º
x and u are supplementary angle which total 180
u + 37 = 180
u = 143º
what is the slope of this graph
Answer:
1
Step-by-step explanation:
Trust