Answer:
0.2835 = 28.35% probability that exactly two of them require warranty repairs.
Step-by-step explanation:
For each TV, there are only two possible outcomes. Either they require warranty repairs, or they do not. The probability of a TV requiring warranty repairs is independent of any other TV, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
10% require repair to be done under the warranty during the first year service.
This means that [tex]p = 0.1[/tex]
A particular dealership sells 18 such TV per week.
This means that [tex]n = 18[/tex]
a) What is the probability that exactly two of them require warranty repairs?
This is [tex]P(X = 2)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{18,2}.(0.1)^{2}.(0.9)^{16} = 0.2835[/tex]
0.2835 = 28.35% probability that exactly two of them require warranty repairs.
Comprehension Question
Answer the question correctly for 30 dollars.
Read the sentence from paragraph 2.
If we continue throwing plastic bags in the garbage, our landfills will become towering mountains of trash.
What does this sentence show?
.A. the author’s use of humor to change the tone of the passage
B. the author’s use of exaggeration to make a point about landfills
C. the author’s use of details to support his argument for paper bags
D. the author’s use of description to provide personal experience on the topic
Answer:
B.
Step-by-step explanation:
Our landfills will not actually become towering mountains of trash, that's just a hyperbole used by the author to show the destructive impact that trash in large quantities can have.
Learn with an example
Isaac earns $16 for each hour of babysitting. How many hours in all will it take Isaac to
earn a total of $32?
Answer:
It would take 2 hours for Isaac to earn $32
Step-by-step explanation:
16*2=32
The base of the sandbox is shaped like a parallelogram. He parallelogram base has an area of 9 square feet and the sand box gas a volume of 13.5 cubic feet. What is the height of the sandbox?
Answer:
1.5 feet
Step-by-step explanation:
V = base area x height
divide the two members by the base area
height = V/ base area
height = 13.5 / 9 = 1.5 feet
What voltage is required to force 4.5 amperes of current through an electric iron having a resistance of 25.5 ohms
Answer:
V = 114.75 Volts
Step-by-step explanation:
Ohm's Law V = IR
I = 4.5 A
R = 25.5 Ω
V = (4.5)(25.5)
V = [4×25.5] + [0.5×25.5]
V = 102 + 12.75
V = 114.75 Volts
find the slope(4,9),(1,6)
plz help
Answer:
slope: m = 1
Step-by-step explanation:
Somebody Please help!!!
Answer:
176
Step-by-step explanation:
8+8+64+64+16+16
What is the probability that I will roll a 4 on a standard number cube?
Answer:
the probability of rolling any single digit on a 6-sided fair cube is 1/6
Simplify the expression:
9f2 - 10 - 1 + 2/2 + -772
Answer:
4f^2-11
Step-by-step explanation:
Find the number of degrees in the missing angle of each triangle below
Answer:
A=44
B=58
C=103
D=118
E=138
F=22
Step-by-step explanation:
Hope this helps
If the graph of y = - x ^ 2 translated horizontally 7 units to the right and translated vertically 6 units upwards, what’s the new equation?
9514 1404 393
Answer:
y = -(x -7)² +6
Step-by-step explanation:
Replacing x with (x-h) translates the graph h units to the right. You want h=7.
Replacing f(x) with f(x)+k translates the graph k units upward. You want k=6.
These transformations make the new equation be ...
y = -(x -7)² +6
Please help me with this:
A teacher decorated her classroom with 3 times as many balloons as paper fans. She used 12 fewer streamers than twice the number of paper fans. If the teacher had a total of 120 balloons, paper fans, and streamers, how many of each kind of decoration did she use?
Answer:
She used 22 paper fans, 66 balloons, and 32 streamers.
Step-by-step explanation:
In order to solve this problem, we need to find out the value of the paper fans. Because we need to find out the balloon amount, which is 3 times as much. The amount of streamers is 12 fewer than two times. We can't find it out just yet since we don't know the value of the paper fans. To find it out:
First, let's call the amount of paper fan as "x".
Then, we need to find out the amount of balloons. It is 3 times x. Which is the same as 3x.
The equation is now x + 3x + (?) = 120
We need to find out the amount of the (?).
So, to do that, it says the value is 12 fewer than 2 times the value of x. (x, because it is the amount of paper fans.)
It should be 2x-12.
Now, the equation is x+3x+2x-12=120.
Once we solve it, we know "x" is 22.
Now, we can multiply 3 by 22. Which is 66.
Then we can multiply 22 by 2, which is 44, and subtract 12, which is 32.
To double check, 22 + 44 + 32 = 120.
That's your answer!
Answer:
Step-by-step explanation:
its 22, and 66, and 32
HELP THANK YOU SM !!!
Answer:
Your answer is C
Step-by-step explanation:
In APQR, T, U and S are points of tangency. PR = 12 units. Find TR.
Answer:
TR = 3 units
Step-by-step explanation:
PR = 12 units
PS = 9 units
PU = PS = 9 units (tangents drawn from an external point are congruent)
RU = PR - PU
RU = 12 - 9
RU = 3 units
TR = RU = 3 units (tangents drawn form an external point of a circle)
TR = 3 units
Construction crews are building a highway between the towns of Washington and Jefferson. Currently the highway is 16.25 miles long. Each month the total length increases by 4.5 miles. Which equation can be used to find y, the total length of the highway in miles after x months?
Katy put $3000 into his bank account. If the account pays 6% interest compounded continuously, when will it be worth $6000? Round to 3 decimal places.
Answer:
11.55 years
Step-by-step explanation:
Given data
Principal= $3000
Rate= 6%
Final Amount= $6000
expression for the time is given as
t = ln(A/P) / r
Substitute
t= ln(6000/3000)/0.06
t= ln(2)/0.06
t= 0.693/0.06
t= 11.55 years
Hence the time is 11.55 years
Find the volume of the cylinder. Round your answer to the nearest tenth.
Answer: 125.6 inches cubed.
Step-by-step explanation:
Formula for cylinder volume: Volume=(pi times radius cubed) times height
3.14 x 4(radius)=12.56
12.56 x 10 (height) = 125.6
Hope this helps
The table represents some points on the graph of a linear function.
What is the slope of the graph of the linear function?
Answer:
1 over 2
Step-by-step explanation:
9-(-7)=-2
-8-(-4)-4
-6-(-3)=-3
-2-4=-6
When you simplify both of the fractions -2 over -4 and -3 over -6
You get 1 over 2 as the slope for both. 1/2
Can somebody recommend me some horror, psychological, yandere, and/or thriller anime?
Anything besides these would be appreciated:
1. Angels of Death
2. Shiki
3. Re:Zero
4. Corpse Party
5. Magical Girl Site
6. Happy Sugar Life
7. SCHOOL-LIVE!
8. Talentless Nana
9. Higurashi
10. Wonder Egg Priority
11. Shadows House
12. Blood C
13. To Your Eternity
14. Puella Magi Madoka Magica
15. Another
16. The Lost Village
17. Serial Experiments Lain
18. Chaos;Head
Answer:
the future diary
Step-by-step explanation:
I watched Future Diary on Hulu, its a really good anime, its more of a yandere type of anime, hope you enjoy it!
A $550 T.V is discounted by 30%. It is then discounted another 10%
Answer:
$346.5
Step-by-step explanation:
10% of $550 is 55
3*55 = 165
550 - 165 = $385
10% of $385 is 38.5
385 - 38.5 = $346.5
Have a nice day! :-)
19 students were surveyed on the number of hours of Netflix they watched last week.
The data from the survey is below:
{0, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 10, 11}
What is the range in hours spent watching Netflix?
Show your work for full points!
Answer:
Solution given:
lowest =0
highest=11
the range in hours spent watching Netflix=
highest-lowest =11-0=
Range is 11.
Answer:
Solution : here ,
lowest = 0
Highest = 11
the range in hours spent watching Netflix
=highest — lowest
= 11 —0
= 11
the range = 11
hope it is helpful to you
irene bought 9/16 pound of wheat flour and 4/16 pound of rye flour to use in a bread recipe. How much flour did irene buy in all?
Irene bought 13/16 flour because you add 9/16 to 4/16 the denominator always stays the same when adding. 9+4=13 so the answer is 13/16
How many complex roots does the polynomial equation below have?
X^7-3x^5+4^2-1=0
Answer:
4
Step-by-step explanation: 5 22 8 18 e
Graph the function and look for sign changes in the slope (easiest)
of the 7 roots 3 are real and 4 are complex
or the perferred way is to apply Descartes rule of signs
x^7-3x^5+4x^2-1=0 a typo in your function attached photos shows 4x²
(x^7) - (3x^5) +(4x^2) - (1) sign changes I see 3
then to find a bound on the number of negative roots
(-x^7) - (-3x^5) +(4x^2) - (1) = -x^7 + 3x^5 + 4x^2 - 1 I see 2 sign changes ??
there is at least 1 real root (due the odd highest power)
and either 0, 2, 4 or 6 complex roots
so 5 and 7 are out
still confused I used a polynomials root calculator
it said ther are three real roots (confirmed by the graph of the function)
and four comple roots (which I can't figure out from the graph)
What is the average of the integers from 25 to 41?
27
33
36
66
Answer:
B. 33
Step-by-step explanation:
The average of the terms of a contiguous subsequence of any arithmetic progression is the average of the first and last terms.
To see this, notice that if you remove 25 and 41 from your sequence, then the average of the remaining terms is still given by the average of the extreme terms
Does someone need help with your math problems? I am using Gauthmath, ...https://s.tutorus.xyz/lp/invite?code=7JX9FQ
Answer:
ok
Step-by-step explanation:
what is 2+2 4+4 8+8 i need math help
Answer:
2+2 is 4 4+4 is 8 8+8 is 16
Step-by-step explanation:
if you need them added up here: 4+8 =12 12+16 = 28
geometry help pleaseeee
Answer: 11
Step-by-step explanation:
[tex]48=4x+4[/tex] (angles opposite congruent sides in a triangle are congruent)
This gives that x = 11
Find the volume of the cube below
Which ordered pair is a solution to the equation?
4y = -7x-5
(2,-2)
(1.3)
(-5,0)
(-3, 4)
Answer:
Step-by-step explanation:
4(4) = -7(-3) - 5
16 = 21 - 5
16 = 16
answer is D
Answer: (-3.4)
Step-by-step explanation: took test 6.02
Foundations wrap up Systems of Equations
Mr. Thompson is buying rulers for his class.
Which option gives Mr. Thompson the best price per ruler?
A. 4 rulers for $1.00
B. 50 rulers for $15.00
C. 100 rulers for $20.00
D. 200 rulers for $30.00
Answer:
D: 200 rulers for $30.00. You have quite a few choices! You may need to find out the percentage [%] of each first.
Step-by-step explanation:
A: 1 Ruler for $0.25
B: $0.30
C: $0.20
D: $0.15
what is the area of the object above