Using the hypergeometric distribution, it is found that the probability is 12/132
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The rolls are chosen from a sample without replacement, which means that the hypergeometric distribution is used to solve this question.
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Hypergeometric distribution:
The probability of x successes is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
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.
Combinations formula:
[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]
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12 rolls means that [tex]N = 12[/tex]4 defective means that [tex]k = 4[/tex]2 are chosen, which means that [tex]n = 2[/tex]------------------------------------
What is the probability of selecting two defective rolls?
This is P(X = 2). So
[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(2,12,2,4) = \frac{C_{4,2}*C_{8,0}}{C_{12,2}} = \frac{4 \times 3}{12 \times 11} = \frac{12}{132}[/tex]
12/132 is the probability.
A similar problem is found at https://brainly.com/question/24229905
Pleaseeee helppp answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answer:
x = 39º; y = 45º
Step-by-step explanation:
97 + 44 + x = 180
141 + x = 180
x = 39º
y + 52 = 97
y = 45º
O.
(a) The function f is increasing over which intervals? Choose all that apply
(-4,-8)
O (-8,-5) O (-1,3) O (-1,7) O (7,9)
(9,)
X
(b) The function f has local maxima at which X-values? If there is more than one value,
separate them with commas,
(c) What is the sign of the leading coefficient of 1?
Select One
(d) Which of the following is a possibility for the degree of f? Choose all that apply,
06
07
09
which is an equation in point-slope form for the given point an slope?
point: (-3,7) slope: 4
A: y - 7 = 4(x - 3)
B: y - 7 = 4(x + 3)
C: y + 7 = 4(x + 3)
D) y + 7 = 4x - 12
Answer:
3
Step-by-step explanation:
333uvcdcbbiihhfcvsscvbkk
Solve for distributive property
-10( x + 9 )
Answer: -10x - 90
Step-by-step explanation:
Answer:
the third one
Step-by-step explanation:
-10( x + 9 )
-10x - 90
Mary and Julie both have a goal of raising $1000 for charity. Mary raises $12 every 4 days. Julie raises $19 every 6 days.
Will Mary or Julie reach her goal first? Explain.
Answer:
Mary would have a rise of 12 and a run of 4, making her slope, or rate of change, $3 a day. Julie would have a rise of 19 and a slope of 6, making her slope, or rate of change, $3.17 a day. Since Julie is raising money at a faster rate, she would get to the goal of $1000 first.
Step-by-step explanation:
Answer:
Sample Answer: Mary would have a rise of 12 and a run of 4, making her slope, or rate of change, $3 a day. Julie would have a rise of 19 and a slope of 6, making her slope, or rate of change, $3.17 a day. Since Julie is raising money at a faster rate, she would get to the goal of $1000 first.
Step-by-step explanation:
BIG BRAIN
please help picture shown above... which one doesn’t belong and why?
Find the volume of triangular prism with the following dimensions. Round to the nearest whole number.
Triangle base= 7 ft.
triangle height= 4 ft
prism height: 8.5 ft
Answer:
124.0 ft^2
Step-by-step explanation:
let b = base of triangle = 7ft
h = height of triangle = 4ft
and
l = height of prism. = 8.5ft
We know,
volume of prism = area of triangular face of prizm × height of prizm
= 1/2 × b × h × l
= 1/2 × 7 × 4 × 8.5
= 7 × 2 × 8.5
= 14 × 8.5
= 124.0 ft^2Find the perimeter of the triangle below.
pls help!!!
Answer:
180
--
40*9 / 2
Hope this helps!!!
Determine whether the following statement is true or false. Then, use complete sentences to explain your answer. If you wish, you may include an example or counterexample.
A quadrilateral can be both a rectangle and a rhombus.
Suppose you have a right triangle area marked in the ground with a base (8-h) meters long and a height h meters long. the hypotenuse is 6 meters long.
part a: what is the length of the height of the right triangle
Answer:
5.415m and 2.585m long
Step-by-step explanation:
For a right triangle
hyp^2 = opp^2 + adj^2 (Pythagoras theorem)
Given
hypotenuse = 6m
height(opposite) = h meters
Adjacent = (8-h)m
Substitute into the expression above;
6² = h²+(8-h)²
36 = h²+64-16h+h²
36 = 2h²-16h+64
2h²-16h+64-36 = 0
2h²-16h+28= 0
Divide through by 2
h²-8h+14 = 0
Using the general formula
h = 8±√8²-4(14)/2
h = 8±√64-56/2
h = 8±√8/2
h = 8±2.83/2
h = 8+2.83/2 and 8-2.83/2
h = 10.83/2 and 5.17/2
h = 5.415 and 2.585
hence the length of the height of the right triangle are 5.415m and 2.585m long
how do you find width of a cylinder ?
is 2(x+2)+3x=2(x+1)+1 a one solution, no solution or infinite solution
Answer:
-1/3
Step-by-step explanation:
2(x+2)+3x=2(x+1)+1
2x+4+3x=2x+2+1
5x+4=2x+3
5x-2x+4=3
3x+4=3
3x=3-4
3x=-1
x=-1/3
Answer:
one solution
Step-by-step explanation:
and the solution is x=-1/3
Together, teammates Pedro and Ricky got 2680 base hits last season. Pedro had 276 more hits than Ricky. How many hits did each player have?
Answer:
Ricky it is 1,202
And for Pedro = 1,202 + 276 = 1,478
Step-by-step explanation:
The computation is shown below:
Let us assume the ricky be x
So pedro be x + 276
Now the equation is
x + x + 276 = 2680
2x + 276 = 2680
2x = 2680 - 276
2x = 2404
x = 1,202
For Ricky it is 1,202
And for Pedro = 1,202 + 276 = 1,478
A national park has two types of bears: Grizzly bears and black bears. A sciantist has reported 9 out of 12 bears she tagged are black bears. Show a model that compares the number of black bears tagged to the number of grizzly bear?
Answer:
Z = 0.75x + 0.25y
Step-by-step explanation:
Two bear types are identified :
Black bears and Grizzly bears
9 out of 12 = black bears ; Hence, 3 are grizzled
For the model:
For a bear population of Number x
Total bear population = black bear, x + grizzled bear, y
Proportion of black bear = 9/ 12 = 0.75
Grizzled bear = 1 - 0.75 = 0.25
Total bear population , Z= 0.75x + 0.25y
Hence,
Z = 0.75x + 0.25y
Find the slope (grade) of the treadmill if the rise is 0.7ft and the length is 2ft
Answer:
0.7/2 but i think you should write it as 7/20
Step-by-step explanation:
write an equation of the given line that passes through the given point and has the given slope m
(5,1);m=2
Answer:
y = 2x - 9
Step-by-step explanation:
Use slope intercept form, y = mx + b
Plug in the slope, x, and y, then solve for b:
y = mx + b
1 = 2(5) + b
1 = 10 + b
-9 = b
Then, plug in b and the slope into y = mx + b
y = mx + b
y = 2x - 9
So, the equation of the line is y = 2x - 9
Answer:
Step-by-step explanation:
y=mx+b, m=2
y=2x+b, using point (5,1)
1=2(5)+b
b=-9
y=2x-9
1 Expand and simplify each expression
a) 4(x+6)
Answer:
4x+24
Step-by-step explanation:
4(x+6)
4Xx=4x
4x6=24
4x+24
Find the area of the shape below, giving your answer to 1 decimal place.
10 cm
15 cm
Answer:
≈ 189.3 cm²
Step-by-step explanation:
The shape is composed of a rectangle and a semicircle, then
area of rectangle = 15 × 10 = 150 cm²
The semicircle has a diameter of 10 cm , so radius = 10 ÷ 2 = 5 cm
area of semicircle = [tex]\frac{1}{2}[/tex] πr² = 0.5 × π × 5² = 12.5π cm²
area of shape = 150 + 12.5π ≈ 189.3 cm² ( to 1 dec. place )
Help me please with this problem
Answer
A for purple, C for blue, and B for yellow.
Step-by-step explanation:
If they cross, it is one solution, if they don't cross, there are no solutions, if they overlap, there are many solutions
B is the midpoint of segment AC. D is the midpoint of segment CE and AE =27. Find BD
Answer:
Dude sorry I’d undo
Step-by-step explanation:
Please forgive me
What is the area of this parallelogram???? HELPP PLSS
Answer:
the area of the parallelogram is 30 cm
what is the ratio of 5/7
Answer:
5:7.
...................................
how do I complete this?
Answer:
I think both angle formed is equal bcz of corresponding angle property
she has 42 dogs all together. please help
Answer:
she will have 22
Step-by-step explanation:
Which is NOT a correct way to describe the function {(-3, 2), (1,8), (-1, 5), (3, 11)
Answer:
G
Step-by-step explanation:
The graph appears to have function inputs and outputs reversed. The other representations are correct.
What is the greatest common factor of 48, 27, and 36
I WILL GIVE BRAINLIEST TO WHO WRITES THE STEP(WORK) DOWN! NOT JUST AN ANSWER!!!
5+X/2≥10
Answer X ≥ 10
Step 1- Multiply Both Sides of the inequality by 2! :) = 10+x≥20
Step 2- Move the constant to the right-hand side and change it's side! :)
= x≥20-10
Step 3- Subtrcact the numbers! :) =x≥10
And Final Answer isssss.... X ≥ 10!
Hope this helps! Have a great day or night!
The product of 2 and a number, increased by 5, is 15.
Answer:
2x+5=15
Step-by-step explanation:
If u need one I'll be happy to explain
how many gallons of gas can you get for $15.80
PLEASE HELP ITS EASY ALGEBRAA I WILL AWARD THE BRAINLIEST TO WHOEVER GETS IT FIRSTT(and right) WORTH 50 POINTSSS
Solve for t:
4/7 =5/2t
Answer:
t=4.375
Step-by-step explanation: