A chain of video stores sells three different brands of DVD players. Of its DVD player sales, 50% are brand 1 (the least expensive), 30% are brand 2, and 20% are brand 3. Each manufacturer offers a 1-year warranty on parts and labor. It is known that 25% of brand 1's DVD players require warranty repair work, whereas the corresponding percentages for brands 2 and 3 are 20% and 10%, respectively. I. What is the probability that a randomly selected purchaser has bought a brand 1 DVD player that will need repair while under warranty? Ii. What is the probability that a randomly selected purchaser has a DVD player that will need repair while under warranty? Iii. If a customer returns to the store with a DVD player that needs warranty repair work, what is the probability that it is a brand 1 DVD player? A brand 2 DVD player? A brand 3 DVD player?
Answer:
i) If a customer returns to the store with a DVD player that needs warranty repair work, what is the probability that it is a brand 1 DVD player
[tex]P(\frac{D_{1} }{R} ) =0.6097[/tex]
ii) If a customer returns to the store with a DVD player that needs warranty repair work, what is the probability that it is a brand 2 DVD player
[tex]P(\frac{D_{2} }{R} ) =0.2926[/tex]
iii) If a customer returns to the store with a DVD player that needs warranty repair work, what is the probability that it is a brand 2 DVD player
[tex]P(\frac{D_{3} }{R} ) =0.09756[/tex]
Step-by-step explanation:
Explanation:-
Given data
Let D₁ be the event of brand 1 DVD players
Given P( D₁) = 50% = 0.5
Let D₂ be the event of brand 2 DVD players
Given P( D₂) = 30% = 0.3
Let D₃ be the event of brand 3 DVD players
Given P(D₃ ) = 20% = 0.2
Let 'R' be the event of brand 1's DVD players require warranty repair work
Given data
[tex]P(\frac{R}{D_{1} } ) = 0.25[/tex]
[tex]P(\frac{R}{D_{2} } ) = 0.20[/tex]
[tex]P(\frac{R}{D_{3} } ) = 0.10[/tex]
If a customer returns to the store with a DVD player that needs warranty repair work, what is the probability that it is a brand 1 DVD player
[tex]P(\frac{D_{1} }{R} ) = \frac{P(D_{1} )P(\frac{R}{D_{1} }) }{P(D_{1} )P(\frac{R}{D_{1} }) +P(D_{2}) P(\frac{R}{D_{2} } )+P(D_{3}P(\frac{R}{D_{3} } ) }[/tex]
Substitute all values
[tex]P(\frac{D_{1} }{R} ) = \frac{0.50 X 0.25 }{0.50 X 0.25+0.30 X 0.20 + 0.20 X 0.10 }[/tex]
[tex]P(\frac{D_{1} }{R} ) = \frac{0.125}{0.205} =0.6097[/tex]
If a customer returns to the store with a DVD player that needs warranty repair work, what is the probability that it is a brand 2 DVD player
[tex]P(\frac{D_{2} }{R} ) = \frac{P(D_{2} )P(\frac{R}{D_{2} }) }{P(D_{1} )P(\frac{R}{D_{1} }) +P(D_{2}) P(\frac{R}{D_{2} } )+P(D_{3}P(\frac{R}{D_{3} } ) }[/tex]
[tex]P(\frac{D_{2} }{R} ) = \frac{0.30 X 0.20 }{0.50 X 0.25+0.30 X 0.20 + 0.20 X 0.10 }[/tex]
[tex]P(\frac{D_{2} }{R} ) = \frac{0.06}{0.205} =0.2926[/tex]
If a customer returns to the store with a DVD player that needs warranty repair work, what is the probability that it is a brand 3 DVD player
[tex]P(\frac{D_{3} }{R} ) = \frac{P(D_{3}) P(\frac{R}{D_{3} } )}{P(D_{1} )P(\frac{R}{D_{1} }) +P(D_{2}) P(\frac{R}{D_{2} } )+P(D_{3}P(\frac{R}{D_{3} } ) }[/tex]
[tex]P(\frac{D_{3} }{R} ) = \frac{0.20 X 0.10 }{0.50 X 0.25+0.30 X 0.20 + 0.20 X 0.10 }[/tex]
[tex]P(\frac{D_{3} }{R} ) = \frac{0.02}{0.205} =0.09756[/tex]
1) The probability that a randomly selected purchaser has bought a brand 1 DVD player that will need repair while under warranty is 12.50%.
2) The probability that a randomly selected purchaser has a DVD player that will need repair while under warranty is 20.50%.
3) If a customer returns to the store with a DVD player that needs warranty repair work, the probability that it is a brand 1 DVD player is 60.975%, a brand 2 DVD player is 29.268%, and a brand 3 DVD player is 9.756%.
Since a chain of video stores sells three different brands of DVD players, and of its DVD player sales, 50% are brand 1, 30% are brand 2, and 20% are brand 3, and each manufacturer offers a 1-year warranty on parts and labor, and it is known that 25% of brand 1's DVD players require warranty repair work, whereas the corresponding percentages for brands 2 and 3 are 20% and 10%, respectively, to determine 1) what is the probability that a randomly selected purchaser has bought a brand 1 DVD player that will need repair while under warranty, 2) what is the probability that a randomly selected purchaser has a DVD player that will need repair while under warranty, and 3) if a customer returns to the store with a DVD player that needs warranty repair work, what is the probability that it is a brand 1 DVD player, a brand 2 DVD player and a brand 3 DVD player, the following calculations must be performed:
1)
50 x 0.25 = X12.50 = X2)
(50 x 0.25) + (30 x 0.20) + (20 x 0.10) = X12.50 + 6 + 2 = X20.50 = X3)
12.50 x 100 / 20.50 = X60.975 = X6 x 100 / 20.50 = X29.268 = X2 x 100 / 20.50 = X9.756 = X
Learn more about probability in https://brainly.com/question/25720844
State the domain and range for the function. f(x)=3 cot (2x)
Answer:
Step-by-step explanation:
First look at the tangent function f(x) = tan x. Its domain is restricted: (-pi/2, pi/2). There are no restrictions on the function value, so the range is (-infinity, +infinity). The primary interval on which tan x is defined is (-pi/2, +pi/2, which has length pi.
In comparison, the domain of f(x) = tan 2x is only half as long as that of f(x) = tan x: (-pi/4, +pi/4), with length pi/2.
Now, focusing on f(x) = 3cot(2x): the range is the same: (-infinity, +infinity). The period is half that of tan x: pi/2 instead of pi. Remember that the cotangent function repeats itself every pi/2 radians.
Domain: (-pi/4, +pi/4) (centered on the origin), (-3pi/4. 3pi/4), and so on, continuing to both the left and the right.
Range: (-infinity, infinity)
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!
Answer:
100
Step-by-step explanation:
perfect square (a - b)^2 = a^2 - 2ab + b^2
In this case
20x = 2 * x * 10
and
10^2 = 100
so
(x - 10)^2 = x^2 - 20x + 100
Therefore, the missing constant term is 100
.
Please help! Correct answer only please! I need to finish this assignment by tomorrow.
The formula for a baseball player's slugging percentage is:
1S + 2D + 3T+ 4HR/AB
If a player has 58 singles, 24 doubles, 8 triples, and 39 home runs, with 367 At Bats.
What is the player's slugging percentage?
A. 0.524
B. 0.779
C. 0.883
D. 0.736
Answer:
0.779
Step-by-step explanation:
1(58)+2(24)+3(8)+4(39)=286
286/367=0.779
PLS GIVE BRAINLIEST!!!
Please help! Correct answer only please! I need to finish this assignment by today.
The aspect ratio of a rectangular shape is it's length divided by it's width (L/W). If the aspect ratio of a chalkboard is 4:3 and the width is 7 in,
what is the length of the chalkboard?
A. 6.67 in
B. 9.33 in
C. 12 in
D. 14 in
The Answer is A. 6.67 in
Step-by-step explanation:
Given : The aspect ratio of a rectangular shape is its length divided by its width (L/W).
Let's Make 'L' to be the length of the rectangular shaped chalkboard.
If the aspect ratio of a chalkboard is 4:3 and the width is 5 in then we have To Multiply 5 on each side , we get the length of the chalkboard = 6.67 in.
Please Mark As Brainlist C:
Thanks
Bacon Hair
Brainliest question please help me now plz
Answer: Outside of the circle
Step-by-step explanation:
Because its bigger than the number
inside so it cant me a or b
so the answer is C because its outside of the points
Hope this helps :)
The answer is A
If you plot them on a graphing calculator you can see that the diameter is around 9ish. So point J is inside the circle.
If Violet Atkins is purchasing a car whose base price is $15,499 with no options and $589 destination charge, what is
its sticker price?
Answer:
16088
Step-by-step explanation:
Add the base price and the destination charge
15499+589
16088
Answer:
it is 16088
Step-by-step explanation:
$15,499+589=16088 You just Add it
Find 4 consecutive even integers such that the sum of the first three is equal to the fourth integer.
if p(-2,3), q(5,0),r(0,2) and s (-4,0) are plotted on the graph which ofthem would lie on x axis?
PLEASE GIVE THE GRAPH ALSO TO BECOME BRAINLIEST
Answer:
Points (-4,0) and (5,0) will lie on the x axis.
Step-by-step explanation:
To know if a point lies on the x axis, the y - value of a coordinate will always be zero. Here is the graph below:
Which expression is equivalent to
(а^8)^4?
Answer:
a^32
Step-by-step explanation:
(а^8)^4
We know that x^y^x = x^(y*z)
(а^8)^4 = a^(8*4) = a^32
Hey!!!!
Here's your answer:
(a^8)^4
=a^8*4
=a^32
Here, just we have to multiply the powers.
Hope it helps...
Good luck on your assignment
Please answer this!!!!!!
Answer:
If he spent 10 hours one week and 11 hours the next, it is correct that he spent 110% more time.
Step-by-step explanation:
Now it would actually be 10% but the way this question is asked here is why it would be 110%.
If a+b = 7, and a² +b²=25
then ab = ?
a2+b2=25
or, (a+b)^2-2ab=25
or, (7)^2-2ab=25 [a+b=7]
or, 49-25=2ab
or, 24/2=an
•°• ab=12....
Line n is a perpendicular bisector of line segment T V. It intersects line segment T V at point R. Line n also contains points Q and S. Line segment R V is 3 x + 2. Line segment Q V is 4 x + 1. Line segment T S is 9 x minus 4. The length of TR is 17 units.
What are the lengths of SV and QT?
SV = units QT = units
Answer:
SV = 41 units
QT = 21 units
Step-by-step explanation:
Please refer to the attached figure.
It is given that line segment TV has a perpendicular bisector as line N which intersects on line on TV at point R.
So, TR = RV
We are given that:
[tex]RV = 3 x + 2\\QV = 4 x + 1\\TS =9 x -4 \\TR = 17\ units[/tex]
Comparing the values of TR and RV:
[tex]3x +2=17\\\Rightarrow x = 5[/tex]
We can easily observe that due to the nature of the construction of this figure there is symmetry present.
As a result, we can draw the following conclusions:
1. [tex]QT = QV = 4x+1\\[/tex]
Putting value [tex]x=5[/tex]:
[tex]QT = 4\times 5+1\\\Rightarrow QT =21\ units[/tex]
2. [tex]TS =SV = 9x-4[/tex]
Putting value [tex]x=5[/tex]:
[tex]\Rightarrow SV = 9 \times 5-4\\\Rightarrow SV = 41\ units[/tex]
Hence the values are:
SV = 41 units
QT = 21 units
Answer:
41,21
Step-by-step explanation:
Match the key aspect of a function's graph with its meaning
3-intercept
location on graph where input is zero
fo)< 0
intervals of the domain where the
graph is below the x-axis
-intercept
intervals of the domain where the
graph is above the x-axis
fo> 0
location on graph where output is
zero
Answer:
y- intercept --> Location on graph where input is zero
f(x) < 0 --> Intervals of the domain where the graph is below the x-axis
x- intercept --> Location on graph where output is zero
f(x) > 0 --> Intervals of the domain where the graph is above the x-axis
Step-by-step explanation:
Y-intercept: The y-intercept is equivalent to the point where x= 0. 'x' is the input variable in an equation, therefore the y-intercept is where the input, or x, is equal to 0.
f(x) <0: Notice the 'lesser than' sign. This means that the value of f(x), or 'y', is less than 0. This means that this area consists of intervals of the domain below the x-axis.
X-intercept: The x-intercept is the location of the graph where y= 0, or the output is equal to 0.
f(x) >0: In this, there is a 'greater than' sign. This means that f(x), or 'y', is greater than 0. Therefore, this consists of intervals of the domain above the x-axis.
Can someone please help me I need to get this right
Answer:
The answer is true
Step-by-step explanation:
Cameron's dog weighs 10 pounds more than her cat. Her dog weighs 7 pounds less than Bill's dog. Cameron's cat weighs 8 pounds. How much does Bill's dog weigh?
Answer:
25
Step-by-step explanation:
10+7+8=25 this is because her cat weighs 8 pounds and her dog weighs 10 pounds more so that's 18 lb. after words it says Cameron's dog weighs 7 pounds less than bills so you do 18+7 and that equals 25
what does this meeaaannn?? please answer
Answer: It means find the slope of each line.
Step-by-step explanation:
A is the line that runs from 0,-6 to 5,14 This is tricky because the scale of the y-axis is twice the value of the x-axis. So what looks like a slope (gradient) of +2 is actually +4. Figure the difference in y-values divided by the difference in x-values.
Same for line B.
I used 0 - 14 for the rise, and 4 -(-3) for the run. 7/-14 makes that slope a -2. That's negative two, not the apparent negative one!
The exchange rate for converting Bahraini dinars to the US dollars is 1 B D = $2.65 . How much is 600 US dollars worth in Bahrain?
Answer:
1: 2.65= x: 600
x= (1 * 600)/ 2.65= 226.41
please help me it will be very much appreciated
Answer:
ΔABC ≅ ΔFED
Explanation:
Look at the alignment and position of the letters.
A = F
B = E
C = D
Properly align the letters in order to their corresponding position.
ΔA ≅ ΔF
ΔAB ≅ ΔFE
ΔABC ≅ ΔFED
What is the missing number in the table?
Answer:
The missing number is 16.
Step-by-step explanation:
The ratio between x and y is 1:4. 4 times 4 is 16. Hope this helped! :)
Answer:
Here is your answer for everyone Hope this helps
Step-by-step explanation:
So the first answer would be 16 for the missing gap then for Some of the graph is shown the graph shows LINEAR Growth which i got it wrong because i suck at guessing lol! then the last gap which i got wrong again is 24!
where it says what is the value of y would be associated with x = 6
1. 16!
2. linear growth!
3. 24!
20 POINTS
Jose estimates the cost of a movie popcorn and code to be $15, when it 5 points
actually costs $18.45. Find the percent error Round your answer to the
nearest tenth.
A. 81.3%
B. 18.7%
C. 23%
D. 181.3%
Answer:D is the answer
The equation of the line perpendicular to 5x+2y=20 and containing the point (5,10) is:
Answer:
all work pictured and shown
WILL BRAINLIEST IF ANSWER IN 2 MiNUTES!!! The formula for electrical power is P = I V. Which is the equivalent equation solved for I? StartFraction P Over V EndFraction = I StartFraction V Over P EndFraction = i P V = i P minus V = i
Answer:
[tex]I=\frac{P}{V}[/tex]
Step-by-step explanation:
We are given the equation [tex]P=I*V[/tex], and we need to solve the equation for [tex]I[/tex]. Solving an equation for a variable means that we manipulate the equation so it is in the form (variable being solved for) = ?, where the ? is any expression.
To solve for [tex]I[/tex], we need to isolate the variable. This is the process of getting the equation into the form mentioned above by essentially getting all [tex]I[/tex] terms on one side and all [tex]\text non-I[/tex] terms on the other side.
In this case, we need to "get rid" of the [tex]V[/tex] from the right-hand side (RHS). Notice that it is being multiplied by the variable we are solving for. Therefore, to remove it from the RHS, we will need to perform the opposite operation, which is division. We will use what's called the Division Property of Equality to do this, which states that in order to maintain equality, you need to divide both sides of an equation by the same number.
Dividing both sides by [tex]V[/tex], we get:
[tex]P=I*V[/tex]
[tex]\frac{P}{V}=\frac{I*V}{V}[/tex]
[tex]\frac{P}{V} = I[/tex] (simplify RHS)
[tex]\bf I=\frac{P}{V}[/tex] (this uses the Symmetric Property of Equality - if a = b then b = a)
For more practice with solving literal equations, check out the following questions:
https://brainly.com/question/24556416https://brainly.com/question/182622648 cm
A right cylindrical solid is cut in half to form the figure
shown. If the length is 20 cm and the diameter is 8 cm,
what is the surface area?
20 cm
A(807 + 160) cm2
B(967 + 160) cm2
C3207 cm2
D(3207 + 160) cm
Answer: b 96 plus 160 cm
Step-by-step explanation:
Answer:
B. (96π + 160) cm2
Step-by-step explanation:
right on edge
ASAP WILL MARK BRAINLIEST
Find the mean and mode of the following set of data.
12, 15, 15, 17, 18, 19
mean: 15; mode: 16
mean: 16; mode: 15
mean: 16; no mode
mean: 17; mode: 15
Answer:
Mean: 16; Mode: 15
Step-by-step explanation:
I did it.
Answer:
I think the mean is 16.
The mode is 15 because it is the most seen number in the data set.
Step-by-step explanation:
Add then divide for the mean (add all numbers, then divide by how many numbers there are).
The mode is the one that you see the most.
Hope this helps guys!
Does it matter which two points you use to create a slope triangle?
Answer:
yes
Step-by-step explanation:
Answer:
yesssssssssssss
Step-by-step explanation:
Find the value of x.
A. 5√6
B. 10√2
C. 5√2
D. 5
E. 10
Answer:
x = 10
Step-by-step explanation:
cos 45 = 5[tex]\sqrt{2}[/tex] / x
x = 5[tex]\sqrt{2}[/tex] / cos 45, cos 45 = [tex]\sqrt{2}[/tex] / 2
x = 10
Please answer CORRECTLY !!!!!! Will mark brainliest !!!!!!
Answer:
x^2+9x+20
Step-by-step explanation:
Find perimeter!
It's very easy
Answer:
6+7+5+4+2+10=34 (Units?)
Step-by-step explanation:
Add All the Sides Together
Help please help now
Answer:
$3600
Step-by-step explanation:
To find the total budget, you need to divide the amount money for the mortgage payment by the percentage is is of the budget.
21% = 0.21
756/0.21 = 3600
$3600 is the total family budget.