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
Someone help me I will mark you as brain
Step-by-step explanation:
that is really, really simple.
h(-3) means that we put the argument (-3) into the formula of the function everywhere where there is x.
h(x) = -3x - 10
so,
h(-3) = -3×-3 - 10 = 9 - 10 = -1
Answer:
-1
Step-by-step explanation:
h(x) = -3x - 10
h(-3) means to replace the x in the problem with the value of -3 and
solve.
h(-3) = -3(-3) - 10
h(-3) = 9 - 10
h(3) = -1
[tex]8.0 \times {10}^{ - 5} \times 10000[/tex]
what would be the result
Dean sai de casa para caminhar ate a escola que fica a 10 quadras de distancia .ele mantem um ritmo constante o tempo todo emquanto caminha ele sente fomd d decide começar a comer biscoitos a um taxa de 1 biscoito por 5 minutos toda a caminhada sele leva 20 minutos
a. Quantos biscoitos o dean come quando chega á escola
B. Quantos biscoitos dean come por bloco
C.quantos quarteiroes dean anda por minuto
2x = x +3
Help pls I can’t do this one
Answer:
x=3
Step-by-step explanation:
Subract the x from the left side and add it to the right side and then you got your answer
What is the vertex of the graph of f(x) = 4(x+5)²-1?
Answer:
The vertex is (-5,-1)
Step-by-step explanation:
f(x) = 4(x+5)²-1
This is written in vertex form
y = a(x-h)^2 +k where ( h,k) is the vertex
f(x) = 4(x- -5)²-1
H is -5 and k = -1
The vertex is (-5,-1)
which two ratios represent quantities that are proportional?
A. 3/5 and 13/10
B. 18/48 and 21/56
C. 20/28 and 15/18
D. 7/10 and 10/7
Answer:
B. 18/48 and 21/56
C. 20/28 and 15/18
Step-by-step explanation:
Simplifying 18/48 = 3/8
Simplifying 21/56 = 3/8
Simplifying 20/ 28= 5/7
Simplifying 15/18 = 5/7
Answer:
18/48 and 21/56
Step-by-step explanation:
plato
Jane bought a shirt for $27, a skirt for $32, and a pair of shorts for $14. Choose the answer that is the best estimate for the total cost of these items.
Answer:
70
The answer is 70
what is 4+4
This is for
ThomasBrennan1
Answer:
8
Step-by-step explanation:
1+1+1+1+1+1+1+1=8
take 4 ones and group them into 2 groups gives you 8
Two rectangles have the same width. The length of one is 1 foot longer than the width. The length of the other is 2 feet longer than the width. The larger rectangle has 5 more square feet than the smaller. What is the width of the rectangles?
Answer:
Both Rectangles have a width of 4
Step-by-step explanation:
PLS HELP IVE BEEN STRUGGLING WITH THIS TOPIC TYSM ILL MARK BRAINLIEST
Answer:
The answer would be 32
Step-by-step explanation:
equation would be: 6+2(12+1)
which then turns into 6+24+2
which equals 32
Answer:
32
Step-by-step explanation:
Since a = 3, b = 4, and c = -1
The Equation is:
= 2 × (3) + 2 × [(3) × (4) - (-1)]
= 6 + 2 × [12 - (-1)]
= 6 + 2 × (12 + 1)
= 6 + 2 × 13
= 6 + 26
= 32
8) A negative minus a negative will always, sometimes, never) be positive.
Give an example that proves your answer:
.
Help please i beg you (;´༎ຶٹ༎ຶ`)
Answer:
A and DStep-by-step explanation:
A. True, 7² = 49B. False, 100² = 10000, shown 1000C. False, (7/8)² = 49/64, shown 14/8D. True, 0.1² = 0.01I need to know what the answer is plz help
Gold and silver are mixed in the ratio 7:4.if 36gm of silver is used.How many gold is used
Answer:
63gm
Step-by-step explanation:
7 gold : 4 silver
It gives you 36 silver.
to get from 4 silver to 36 silver you multiply by 9.
you multiply the gold by the same amount 9.
7*9= 63
you can see that for every 7 gold pieces there is 4 silver pieces. they keep piling up the pieces until there's 36 silver pieces. now they wanna know how much gold there is.
A rocket needs to reach a speed of 28,300 km/hr in order to get into orbit around Earth. How fast is this in miles per second.
Answer:
Step-by-step explanation:
1 km = 0. 621371 miles
28,300 km = 28,300* 0. 621371 miles = 17,584.7993 miles
1 hour = 60 *60 seconds = 3,600 seconds
speed of 28,300 km/hr =
17,584.7993 miles / 3,600 seconds ≈ 4.88 miles / second
can someone help me with this i am so confused
Answer:
HGI = 30
b/ce they are Vertically opposite angles
JGH = FGI
Answer:
1: Angle HGI is 30 degrees, Angle FGI is the same as JGH
Hope that helps. Brainliest is appreciated if it did!
determines by estimate which answer is best.
635•0,67
125 225 325 425
Answer:
2
Step-by-step explanation:
2
Please help ! For geometry
Answer:
50°
Step-by-step explanation:
(7x+1)+(18x+4)=180
x=7
30 POINTS, WILL GIVE BRAINLIEST IF ONLY RIGHT
Which of these expressions is equivalent to log 200?
A) 2 + log 2
B) 2 + log 20
C) log 50 + log 150
D) log 250 – log 50
Answer:
ITS A ITS A ITS A
ANSWER = A
Step-by-step explanation:
which expression uses the distributive property to represent the sum of 28+42
Answer:
(2 x 14) + (3 x 14) = 5 x 14 = 70
Answer:
14(2 + 3)
Step-by-step explanation:
28 = 2 x 2 x 7
42 = 2 x 3 x 7
The HCF of 28 and 42 is given by 2 x 7 = 14
b(n)=−4−2(n−1)
find the 12th term in the sequence.
Answer:
-18
Step-by-step explanation:
b(12) = 4 - 2(12-1)
= 4 - 2(11)
= 4 - 22
= -18
HELP ASAP WILL GIVE 15 points
Choose the function that includes the given points.
Answer:
Top Right
Step-by-step explanation:
all the brackets are in the form (X, Y), Y=P(x)
just replace the X's in the brackets with the X's in the Options, if P(x) is the number that's in place of Y in the brackets, then that option is the correct one, in this case the top Right one. if this helped, please mark as brainliest
Answer:
Top right/second answer is correct
Step-by-step explanation:
I did it
verify it as fast as you can
Answer:
(a+6)²
by identity (a+b)²=a²+2ab+b²
(a+6)²= a²+ 2×a×6 + 6²
= a²+ 12a + 36
(2a)²+5a = 4a²+5a
Which equation represents a line parallel to 3x − 8y = 12?
The equation that is parallel to 3x − 8y = 12 is y = (3/8)x - 4 so option (A) is correct.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
As per the given equation,
3x − 8y = 12
3x - 12 = 8y
y = (3/8)x - 12/8
By comparing y = mx + c
Slope m = 3/8
The parallel lines have the same slope thus y = (3/8)x - 4 will have the same slope of 3/8 so it will be parallel.
Hence "The equation that is parallel to 3x − 8y = 12 is y = (3/8)x - 4".
For more about the linear function,
brainly.com/question/21107621
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The complete question is below,
Which equation represents a line parallel to 3x-8y=12
A. y=3/8x-4
B. y=-3/8x-4
C. y=8/3x-4
D. y=-8/3x-4
Pls help will mark the brainiest
Valeria has been training for the Charlestown cruisers bike race. The first week she trained, she rode 5 days and took the same two routes each day. She rode and 8 mile route each morning and longer route each evening. By the end of the week, she had ridden a total of 115 miles. How many miles did valeria ride each evening
The number of miles covered every evening obtujwd using a system of equation is 15 miles.
Let the number of miles per evening = m
Number of days = 5 Number of miles per morning = 8 miles Total miles covered = 115 milesUsing the expression below :
Number of days(miles per morning + miles per evening) = 115 miles
5(8 + m) = 115
40 + 5m = 115
5m = 115 - 40
5m = 75
m = 75 / 5
m = 15 miles
Therefore, the Number of miles covered per evening is 15 miles.
Learn more : https://brainly.com/question/18796573
क
Where on the coordinate plane is the point (-85, 52) located?
O Quadrant 4
O Quadrant 2
Quadrant 3
O Quadrant 1
Next >
Previous
Answer:
quadrant 2 you're welcome :-)
Answer:
Quadrant 2
Step-by-step explanation:
Since the x coordinate is negative, it must in quadrant 2 or 3
Since the y coordinate is positive, it must in quadrant 1 or 2
It must be in quadrant 2
PLEASE HELP DUE IN 10 MINUTES HURRY!!!!!
Find two points from this graph below. Then determine what the slope is.
Answer:
5/3
Step-by-step explanation:
(-2,-5) and (1,0)
using the slope formula you get your answer
I really need some help
Answer:
y-2=2(x-12)
the alternative is
y+3=2(x-2)
Step-by-step explanation:
HELP!!!
Jacob and Paul are playing a game of cards. After the first round, Jacob said that Paul's score would be twice his own score if he earned 7 more points.
Paul responded to Jacob by telling him his score was only 6 points higher then Jacobs.
PART A. write a system of equations to represent each of the boys statements. Be sure to specify what your variables represent.
PART B. If they both are correct. How many points did each if the boys score??
MY LAST POST GOT REMOVED PLS HELP I NEED THIS DONE TODAY!!
Interpreting the situation, we have that:
a) The system of equations is:
[tex]y = 2x - 7[/tex]
[tex]y = 6 + x[/tex]
b) Solving the above system, it is found that Jacob scored 13 and Paul scored 19.
Item a:
In our system, we have that:
Jacob's score is of x.Paul's score is of y.Jacob said that Paul's score would be twice his own score if he earned 7 more points, which means that:
[tex]y + 7 = 2x[/tex]
[tex]y = 2x - 7[/tex]
Paul responded to Jacob by telling him his score was only 6 points higher then Jacob's, which means that:
[tex]y = 6 + x[/tex]
Item b:
Equaling both equations:
[tex]2x - 7 = 6 + x[/tex]
[tex]x = 13[/tex]
[tex]y = 6 + x = 6 + 13 = 19[/tex]
Jacob scored 13 and Paul scored 19.
A similar problem is given at https://brainly.com/question/24104709