Using the hypergeometric distribution, it is found that there is a 0.0002 = 0.02% probability that 4 of those containers are the same flavor.
The flavors are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
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:
There are 52 containers, hence [tex]N = 52[/tex]For each flavor, there are 4 containers, hence [tex]k = 4[/tex]5 containers are chosen, hence [tex]n = 5[/tex]The probability of choosing all containers of one flavors is P(X = 4).
There are 13 containers, hence, the probability is multiplied by 13.[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 = 4) = h(4,52,5,4) = \frac{C_{4,4}C_{48,1}}{C_{52,5}} = 0.000018469[/tex]
13 x 0.000018469 = 0.0002
0.0002 = 0.02% probability that 4 of those containers are the same flavor.
A similar problem is given at https://brainly.com/question/25743676
The probability that 4 of those containers are the same flavor is 0.02% and this can be determined by using the Hypergeometric distribution.
Given :
Fido ate 52 containers of ice cream in 13 different flavors, with 4 containers containing each flavor. The first 5 containers were chosen at random, without replacement.The probability according to the Hypergeometric distribution is given by:
[tex]\rm P(X=x) = h(x,N,n,k)=\dfrac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex] --- (1)
where the total number of successes is 'x', population size is 'N', the sample size is 'n', and the total number of desired outcomes is 'k'.
Now, substitute the values of known terms in the expression (1).
[tex]\rm P(X=4) = h(4,52,5,4)=\dfrac{C_{4,4}C_{48,1}}{C_{52,5}}[/tex]
[tex]\rm P(X=4) =0.000018469[/tex]
Now, multiply the above result by 13.
[tex]13\times 0.000018469=0.0002[/tex]
So, the probability that 4 of those containers are the same flavor is 0.02%.
For more information, refer to the link given below:
https://brainly.com/question/23017717
Solve for x. *
40
15
50
10
[tex]\huge \bf༆ Answer ༄[/tex]
The Angles marked there forms linear pair, and therefore they add up to be equal to 180°
That is ~
[tex] \sf2x + 30 + x = 180[/tex][tex] \sf3x + 30 = 180[/tex][tex] \sf3x = 180 - 30[/tex][tex] \sf x = 150 \div 3[/tex][tex] \sf x = 50 \degree[/tex]Therefore, value of x is 50°
Help me with number 32 please
Answer:
cant give you a answer but theres this app called gauth math try that its really helpful
Step-by-step explanation:
Find the magnitude of the following vector: v=15i + 8j
[tex]\text{Given that,}\\\\\vec{v} = 15 \hat{i} +8 \hat j\\\\ \\\text{Magnitude of the vector,}\\\\|\vec v| = \sqrt{15^2 +8^2}= \sqrt{289} = 17[/tex]
Ryan has a collection of 1,200 pennies.
25% are dated before 1980
35% are dated from 1980-2000
the rest are dated after 2000
How many pennies in Ryan's collection are dated after 2000?
Answer:
480 Pennies.
Step-by-step explanation:
25% (1980) + 35% (1980-2000) = 60%
40% (2000+) Percent of 1200 is 480 Pennies.
-3x-2y=-6
-3x+2y=18
(?,?)
[tex]\left \{ {-3x-2y = -6} \atop {-3x+2y=18} \right. <=>\left \{ {-6x=12} \atop {-3x+2y=18} \right. <=> \left \{ {x=-2} \atop {y=6} \right.[/tex]
The answer: ( x ; y ) = ( -2 ; 6 )
Ok done. Thank to me :>
please helppppppppppppppppppppppppppppppp
Answer:
i think the answer would be 1/6 hope this helps!
Answer:
1/12
Step-by-step explanation:
Probability = # of events / # of possible outcomes.
We want to find the probability of flipping a tails and then rolling a two.
When flipping a coin there are only two possible outcomes, getting a head or a tails.
So the probability of flipping a tails would be 1/2.
When rolling a dice there are 6 possible outcomes.
So the probability of rolling a two is 1/6
We then multiply the two probabilities to get our answer.
[tex]\frac{1}{2} =\frac{1}{6} =\frac{1*1}{2*6} =\frac{1}{12}[/tex]
The answer is 1/12
What is the answer?
To this question
Answer:
y = 3.2
Step-by-step explanation:
8/y = 10/4
10y = 32
y = 32 / 10
y = 3.2
9000 dollars is placed in an account with annual interest rate of 7.75 how much will be in the account in 18 year nearest cent
Answer:
9139.50
Step-by-step explanation:
since it didn't mention any withdraws from the account or any charges, its just a matter of multiplying 7.75 by 18 and adding it to the original balance.
Answer:
9139.50
Step-by-step explanation:
Under her cell phone plan, Janelys pays a flat cost of $46.50 per month and $5 per gigabyte. She wants to keep her bill under $70 per month. Write and solve an inequality which can be used to determine g, the number of gigabytes Janelys can use while staying within her budget.
Answer:
Less than 4.70 GB
Step-by-step explanation:
Let x = # of GB that Janelys uses that month. Since Janelys wants to pay less than $70 given that the flat rate for subscribing to that company's data per month is $46.50 and each GB costs $5 to use, the inequality can be written as:
5x + 46.50 < 70
5x < 23.50 Subtract $45.60 from each side.
x < 4.70 GB Divide 5 from each side.
Thus, (if it is whole numbers) Janelys can use 4 GB while staying within her budget or (if decimals are fine) anything less than 4.70 GB. Hope this helped! :D
Help please !!!!!!!!!!
Answer:
35.5225685536425675555
Answer:
67 and 82
Step-by-step explanation:
The values of Y are increasing by 15 everytime, so to find the fourth value we do 52+15 which equals to 67 and then to find the fifth value we do 67+15 which equals to 82. Hope this helps.
Instead of dividing $15.00 by 2 1/2, double both numbers and then find the quotent.
[tex]\sf 12(3+5)[/tex]
Hi,
12(3 + 5) = 12*3 + 12*5 = 36 + 60 = 96
I hope it helped.✅
Answer:
[tex]12(3 + 5) = 12 \times 3 + 12 \times 5 \\ = 36 + 60 \\ = 96[/tex]
Order the following numbers from least to greatest:
1/5/100 5% 0.0005 50/100 50 5/1000 500%
Answer:
0.0005, 1/5/100, 5/1000, 5%, 50/100, 50, 500%
Step-by-step explanation:
You can convert all the percentages and fractions into decimals for better comprehension.
0.0005
1/5/100 = 0.002
5/1000 = 0.005
5% = 0.05
50/100 = 0.5
50
500% = 500
Answer:
0.0005, 1/5/100, 5/1000, 5%, 50/100, 50, 500%
Step-by-step explanation:
I'VE ASKED THIS 4 TIMES ALREADY. DOUBLE POINTS PLEASE HELP!!!
Please help! Write an equation of the line passing through the point (6,-4) that is perpendicular to the line y=1/3x-9
Answer:
y=-3x-14
Step-by-step explanation:
y=mx +c
m= 1/3
perp m= -3
goes through point (6,-4)
sub numbers
Latisha works x hours each day. Demetrius works 1 more hour each day than Latisha.
Which expressions both calculate the number of hours Demetrius works in a 5-day work week?
5
x
+
1
and
5
(
x
+
1
)
5 x plus 1 and 5 times open paren x plus 1 close paren
(
x
+
1
)
×
5
and
5
×
x
+
1
open paren x plus 1 close paren times 5 and
5
×
x
+
1
5
(
x
+
1
)
and
5
x
+
5
5 times open paren x plus 1 close paren and 5 x plus 5
(
x
+
1
)
×
5
and
5
+
(
x
×
1
)
open paren x plus 1 close paren times 5and 5 plus open paren x times 1 close paren
The expressions that can be used to calculate both numbers of hours Demetrius works in 5-day work week is 5(x + 1) and 5x + 5
We are being told that Latisha works x hours each day and Demetrius works 1 more hour each day than Latisha.
So,
Let the amount of works done by Latisha be = xThen, the amount of works done by Demetrius will be = x + 1Thus, the both expression that can determine the number of hours Demetrius works in five days is:
= 5(x + 1) and 5x + 5
This is because if we open the bracket from 5(x+1) and multiply each term in the bracket with 5, we end up having 5x + 5.
5 times open paren x plus 1 close paren and 5 x plus 5 is correct.Learn more about word problems here:
https://brainly.com/question/2610134?referrer=searchResults
A researcher measured the length of several lizards she found in a field and recorded the data in the box plot shown below.
Write the slope-intercept form of the line between the two points.
1. through: (0, 2) and (1, -3)
SI:
What is the value of the function y= 3x - 1 when x=-1?
-
-8
-4
O 2
06
Need help now
Answer:
-4
Step-by-step explanation:
y=3x - 1 x= -1
y = 3(-1) -1
y = -3 -1
y= -4
Thegreergreertteraloargaaramaits 1>-25-31 >:-2 * 2 A 221 OD. 2.2 O O
Answer:
A
Step-by-step explanation:
Determine the type of triangle that is drawn below.
5.89
X
V
38°
90°
4.53
7.43
52°
W
Answer:
Right-triangle
Scalene
Step-by-step explanation:
[] This is a right triangle because it has an angle that is 90°
[] This is a scalene triangle because all of the sides are different lengths
-> We can also tell this is scalene because none of the angles are the same degree
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Don’t understand this question will give brainless thing
Answer:
6.32 units
Step-by-step explanation:
The line shown can be considered to be the hypotenuse of a right triangle that has side lengths of 2 and 6. These values can be found by counting the vertical and horizontal numbers of grid squares between the two end points.
The Pythagorean theorem is used to find the length of the hypotenuse. It tells you the square of the hypotenuse is equal to the sum of the squares of the sides:
AB² = 2² +6²
AB² = 4 + 36 = 40
Taking the square root, you find ...
AB = √40 ≈ 6.32456
__
We want to round this value to the nearest hundredth, so we look at the thousandths digit to see whether to round up. That digit is 4, so we simply delete all the digits to the right of the hundredths place.
Line AB is 6.32 units long.
6 out of every students in a school watched FIFA world cup final match on TV. What is the ratio of the number of students who watched the final match to those who did not?
A. 6:4
B. 6:10
C. 6:16
D. 4:10
PLS ANSWER ASAP!!! ILL MARK U BRAINLIEST!!!♡♡♡
Answer:
6:16
Step-by-step explanation:
plz mark as brain lst and like
What’s
9 times 13 1/2
Answer:
answer is 121.5
Step-by-step explanation:
Answer:
121.5
Step-by-step explanation:
first make 13 1/2 into a mixed fraction which is 27/2 then multiply by 9/1 you should get 243/2 and once you divide, you should have 121.5
5ab+8c} if a = 3, b = 2, and c = 9.
Step-by-step explanation:
5ab + 8c
Putting values of a = 3 b = 2 and c = 9
5(3)(2) + 8(9)
30 + 72
102
SOMEBODY HELP ME
NO LNKS PLZ
Answer: 63
Step-by-step explanation:
[tex]a_4=-1+8^8\\a_4=63[/tex]
Please someone help meee! It’s advanced algebra
Answer: I think it would be 80 feet I hole I’m correct.
Step-by-step explanation: So to explain 20 + 50 is 80 and that’s how I got the answer I am not 100% sure but I wanted to help you :-)
Please help! Brainliest!
The graph f(x) = (x + 1)^2 – 7 is translated 3 units right and one unit up, resulting
in the graph g(x). Write an equation that represents the new function, g(x).
Answer: g(x) = (x-2)^2 - 6
Step-by-step explanation: The graph of x^2 is a parabola opening downward. The (x+1) stands for 1 unit to the left and -7 is 7 units down. Once you have graph f(x) = (x+1)^2-7, there you should be able to graph g(x)=(x-2)^2-6. From there, its asks to go 3 units right which gives (x-2) and 1 unit up which gives -6.
(x+1) is x=-1 and (x-2) = 2.
Hope this helps.
Ndiba left the hardware store and drove toward the train station. Willie left one hour later driving 10 mph faster in an effort to catch up to him. After three hours Willie finally caught up. What was Ndiba's average speed?
[tex]\boxed{\sf Distance=Speed(Time)}[/tex]
Let
Ndibas speed be xWillies speed=x+10Both travelled same distance
[tex]\\ \sf\longmapsto 4x=3(x+10)[/tex]
[tex]\\ \sf\longmapsto 4x=3x+30[/tex]
[tex]\\ \sf\longmapsto x=30mph[/tex]
In a factory 54,680 parts were made. If 300 parts were found to be defective what is the percent of error?
4. Match these equation balancing steps with the description of what was done in each step.
Step 1:
12x−6 =10 6x−3 =5
Step 2:
6x−3 =5 6x =8
Step 3:
6x =8 x =43
Descriptions to match with each step:
A: Add 3 to both sides
B: Multiply both sides by 16
C: Divide both sides by 2
Answer:
step 1 - C.
step 2 - A.
step 3 - B.