Using the hypergeometric distribution, it is found that there is a 0.0455 = 4.55% probability that both light bulbs failed the test.
The bulbs are chosen without replacement, and this is why the hypergeometric distribution is used to find the probability.
Hypergeometric distribution:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. N is the size of the population. n is the size of the sample. k is the total number of desired outcomes.In this problem:
12 bulbs, thus [tex]N = 12[/tex]3 failed the test, thus [tex]k = 3[/tex].2 are selected, thus [tex]n = 2[/tex].The probability that both failed the test is P(X = 2), thus:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 2) = h(2,12,2,3) = \frac{C_{3,2}C_{9,0}}{C_{12,2}} = 0.0455[/tex]
0.0455 = 4.55% probability that both light bulbs failed the test.
A similar problem is given at https://brainly.com/question/24826394
please help
The Finance Committee: Nine members of a finance committee could not get together for an emergency meeting. However, during the next three days, each member talked to each other member on the telephone. What is the minimum number of phone calls needed to accomplish this?
The Merry-Go-Round: On a merry-go-round, 12 horses are evenly spaced on the outside perimeter. It takes four seconds for the fourth horse to reach Abe,starting when the first horse is opposite him. How long will it take the merry-go-round to go around once?
Answer:
1) How does "Abe" relate to the merry-go-round? (The problem doesn't seem to say.)
2) How many people did each person provide for? So how many dozens were brought? How many are in a dozen? So how many cookies were brought?
Step-by-step explanation:
nm the top
There are n seats on a merry- go-round. A boy takes n rides. Between each ride, he moves clockwise a certain number of places to a new horse. Each time he moves a different number of places. Find all n for which the boy ends up riding each horse.
2) So if there are n horses, first the boy could move by one place then he could move by n+1 places then by 2n+1 so on and so forth, until he moves (n−2)n+1 places, in which case he'd would have been ridden each horse only one time and taken unique number of steps, which implies that all n's satisfy given condition.
1) I don't know how to cancer this let me resheerch and ill get back to you
P>S let this be help only if you need to annotate or reword thx
you have a goal to sell 80 tickets to the school carnival if you completed 10% of your goal how many tickets did you sell
Answer:
8
Step-by-step explanation:
Answer:
80-10%=79.9
Step-by-step explanation:
You need a calculator for this one
If m<6 = 7x -36 and m<9 = 5x + 12, what is the value of angle 11 ?
If you pay $43 for a set of Pokémon cards online that were listed for $40 what is the tax percent you were charged
Amount of tax paid = 43-40 = 3
Tax rate = 3/40 = 0.75
0.75 x 100 = 7.5%
Tax rate = 7.5%
PLEASE HELP ME I DONT GET THIS..
Hopes this help
Help out pleassseeeeeee
Step-by-step explanation:
bro, MO bisects into 2 equal halves. ..
so, there will be
Angle AMO is equal to angle BMO.__(A)
MO is common side ___( S)
Angle AOM is equal to angle MOB___(A)
hence ,
∆AMO is congrent to ∆BMO
hence proved
which the following is a solution to the inequality below
5> x
Answer:
x < 5
Step-by-step explanation:
1) Swap sides
5 > x
Swamp sides:
x < 5
2) Solution on coordinate plane
Solution: x < 5
Interval Notation: (-∞,5)
HEY I RLLLLLLY NEED HELP! 50 POINTS AND BRAINLIEST IS YOU'RE RIGHT!!!!
If
f(x) = 2x + 1
and
g(x) = x - 3
g(f(x)) = 2x + ????
I will report if you answer just for points. I'd love help please :P
Answer:
g(f(x)) = 2x - 2Step-by-step explanation:
Given:
f(x) = 2x + 1and
g(x) = x - 3Find g(f(x)), substitute the value of f(x) into equation:
g(f(x)) = g(2x + 1) = (2x + 1) - 3 = 2x - 2May I please receive help?
Answer:
The answer is in the included image
Jalil mixed cup of water with cups of sugar. How many more cups of water than sugar did he use in his mixture?
the question has no numbers what do i do
Answer:
[tex]1\frac{11}{24}[/tex] cups more water than sugar
Step-by-step explanation:
Question: Jalil mixed 3/8 cup of sugar with 11/6 cups of water. How many more cups of water than sugar did he use in his mixture.
Answer:
Jalil mixed the number of cups of sugar = [tex]\frac{3}{8}[/tex]
with the number of cups of water = [tex]\frac{11}{6}[/tex]
We have to find the additional amount of water that is used in his mixture.
So we will subtract the amount of sugar from the amount of water.
[tex]\frac{11}{6}[/tex]- [tex]\frac{3}{8}[/tex]
= [tex]\frac{44-9}{24}[/tex]
= [tex]\frac{35}{24}[/tex]
= [tex]1\frac{11}{24}[/tex] cups
[tex]1\frac{11}{24}[/tex] cups more water is used in this mixture.
hello can anyone please help with this.
Selina takes 1 and a half hours to cycle 12 miles.
What is her average cycling speed?
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Given terms :
Distance covered (d) = 12 miles
Time taken (t) = 1.5 hour
Average speed :
[tex]v = \dfrac{d}{t} [/tex][tex]v = \dfrac{12}{1.5} [/tex][tex]v = 8 \: \ \: mph[/tex]average speed = 8 mph
Answer:
8mph
Speed= Distance/Time
12/1.5= 8mph
Help! evaluate this number
Answer:
-12×3 = -36.............
1 3x5 x 2 1x3 i don't know what eles to right but what is the answer
long divison divide 664 and 1600
Answer:
272, remainder 2
Step-by-step explanation:
Answer:
Step-by-step explanation:
2.41
I got a very long number but then I rounded to the nearest hundreth
In a school annual Day 60 students involved is Science Exhibition, 75 involved in Mathematics Exhibition, 20 involved in both Exhibitions, and the rest of 285 students are not involved in any exhibition. Illustrate the above information in a Venn- diagrom. How many students took part in Schools Annual Day? How many of them involved in only one exhibition ?
Answer:
440 man its so easy just add up all the numbers
Step-by-step explanation:
440
Answer:
1) See the explanation
2) 400 Students
3) 95 Students
Step-by-step explanation:
1) As can be known from the question
Then, draw the venn diagram according to the known conditions.
2) 60 + 75 - 20 = 115 { Draw a venn diagram to calculate }
115 + 285 = 400
3) 60 - 20 + 75 - 20 = 95 ( Draw a venn diagram to calculate }
4х +4y +z= 24
2x – 4у +z= 0
- 3х + 6z =- 12
Answer:
4х +4y +z= 24 Correct
2x – 4у +z= 0 Correct
- 3х + 6z =- 12 Correct
Step-by-step explanation: I hoped I helped you yo.
rewrite the equation in slope-intercept form 5x - 6y = 12
Answer:
M = [tex]\frac{5}{6}[/tex] Is correct answer
Step-by-step explanation:
Write in slope-intercept form, y = m x + b.
m = [tex]\frac{5}{6}[/tex]
Graph in pic
(Hope this helps can I pls have brainlist (crown)☺️
guy pls help me!!!!!
Answer:
a= 11
Step-by-step explanation:
9a+ 6°+75° =180° (straight angle, they are called supplementary angles. so sum is equal to 180°
9a +81 = 180
9a= 99
a= 11
Which of the following is the correct factorization of the polynomial below?
x - 18
A. (x+3)(x-6)
B. (x-3)(x + 6)
C. (x+3)(x2 - 4x+6)
D. The polynomial is irreducible.
SUBMIT
Answer:
D. The polynomial is irreducible
Step-by-step explanation:
D. The polynomial is irreducible is the correct answer because x and -18 don't share anymore common factors for it to factorized/simplified, so x - 18 is as far as it can get.
Identify the subsets of real numbers of which 8 is a member. ( helps pls ^-^ )
The real numbers have the following important subsets: rational numbers, irrational numbers, integers, whole numbers, and natural numbers.
8 is an a integer, a whole number and a rational number.
Hope this helps,
if so mark brainliest...
Answer my question
Please I need it right away
Answer:
the mean of the data is 13, so the result is given by the sum of all data (11+12+13+14+15) and divided by 5
What is 30 divided by 4? Show your work and explain.
Answer:
7.5
30
÷
4
__
7.5
4×6=24
4×7= 28
4×8= 32
4×8= X
4×7.5= 30
Alicia has 7 paintings she wants to hang side by side on her wall.
2. If Alicia only wants to display 4 of the paintings, in how many ways can she choose the paintings she wishes to display? Show your work.
3. In how many ways can Alicia arrange 4 out of the 7 paintings? Show your work.
The question is an illustration of permutation and combinations.
The number of ways she can choose 4 out of the 7 paintings is 35The number of ways she can arrange 4 out of the 7 paintings is 840The given parameters are:
[tex]\mathbf{n = 7}[/tex]
[tex]\mathbf{r = 4}[/tex]
(a) Choose 4 of 7 paintings
Choosing 4 of 7 paintings implies combination.
So, we have:
[tex]\mathbf{^nC_r = \frac{n!}{(n - r)!r!}}[/tex]
Substitute values for n and r
[tex]\mathbf{^7C_4 = \frac{7!}{(7 - 4)!4!}}[/tex]
[tex]\mathbf{^7C_4 = \frac{7!}{3!4!}}[/tex]
Expand
[tex]\mathbf{^7C_4 = \frac{7 \times 6 \times 5 \times 4!}{3 \times 2 \times 1 \times 4 !}}[/tex]
[tex]\mathbf{^7C_4 = 35}[/tex]
Hence, the number of ways she can choose 4 out of the 7 paintings is 35
(b) Arrange 4 of 7 paintings
Arranging 4 of 7 paintings implies permutation.
So, we have:
[tex]\mathbf{^nP_r = \frac{n!}{(n - r)!}}[/tex]
Substitute values for n and r
[tex]\mathbf{^7P_4 = \frac{7!}{(7 - 4)!}}[/tex]
[tex]\mathbf{^7P_4 = \frac{7!}{3!}}[/tex]
Expand
[tex]\mathbf{^7P_4 = \frac{7 \times 6 \times 5 \times 4 \times 3!}{3!}}[/tex]
[tex]\mathbf{^7P_4 = 840}[/tex]
Hence, the number of ways she can arrange 4 out of the 7 paintings is 840
Read more about permutation and combinations at:
https://brainly.com/question/15301090
What is the end of your proof? (What are you proving?)
Answer
with
Step-by-step explanation:
Statement Reasons
1.∠1 ≅ 4 Given
2.∠1 = ∠2 Being Vertically opposite angles.
3.∠4 = ∠3 Being Vertically opposite angles.
4.∠2 = 3 From Statement no 2 & 3, Transitive property.
5.∠2 ≅ 3 From Statement 4
Proved.
I don’t know how do do this please help me cuz this is due before 7
Answer:
That's all
Step-by-step explanation:
you need to replace the values then solve
Answer:
27. 1^-8 = 1/1^8 = 1
28. 2^-5 = 1/2^5 = 1/32
29. -3^-3 = - 1/3^3 = - 1/27
30. 2^-1 = 1/2 = 1/2
31. -3^-4 = - 1/3^4 = - 1/81
32. 5^-3 = 1/5^3 = 1/125
33. 1^-99 = 1/1^99 = 1
34. 1^-3 = 1/1^3 = 1
35. 4^-3 = 1/4^3 = 1/64
36. 2^-3 = 1/2^3 = 1/8
Step-by-step explanation:
Rewrite the expression using the negative exponent rule b^−n=1/b^n
1/2^3
Raise 2 to the power of 3
1/8
The result can be shown in multiple forms, but this is fraction form.
1/8
I hope it helps!!
write the equation of a line that is parallel to y=12-5x and passes through the point (1,-7)
Answer:
y= -5x-2
Step-by-step explanation:
Parallel equations have the same slope, so we know our slope will be -5. To get our y-intercept, we need to plug in our slope. 1 times -5 is -5, so we need to figure out how to get from -5 to -7. We're going to subtract 2, so the y-intercept is -2.
The equation of the line parallel to y=12-5x and passes through the point (1,-7) will be y= -5x-2.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that the equation of a line that is parallel to y=12-5x and passes through the point (1,-7).
The slope of the parallel lines is always the same. The slope of the line will be -5.
The y-intercept of the line will be calculated as,
y = mx + c
-7 = -5(1) + c
c = -7 + 5
c = -2
The equation of the line will be written as,
y = mx + c
y = -5x - 2
Therefore, the equation of the line parallel to y=12-5x and passes through the point (1,-7) will be y= -5x-2.
To know more about an equation of the line follow
brainly.com/question/18831322
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211-0 + (-71-9)
.
Simplify
0 0
-3,12
-3
0 -3
DONE
Answer:
-3, -
Step-by-step explanation:
I took the test
cancelout the v^-6
21/-7
-3
Answer:
Step-by-step explanation:
[tex]\dfrac{21y^{-6}}{-7y^{-6}}= (-3) *y^{-6 -[-6]} = (-3)*y^{6+6}=-3*y^{0} = -3*1 = -3[/tex]
In the community raffle, Niko bought 50 tickets. The contest stated that 200 tickets were sold. What is the probability that one of his tickets will not be drawn?
how do you solve y=x+12 y=-18
Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.
A negative correlation means ________. a third variable eliminates a correlational relationship one variable decreases as the other increases there is a relationship between two variables, but it is not statistically significant two variables increase together, but they are associated with an undesirable outcome
Answer:
A negative correlation means one variable decreases as the other increases.