Fido ate 52 containers of ice cream in 13 different flavors, with 4 of the container containing each flavor. If the first 5 containers were chosen at random, without replacement, what are the chances that 4 of those containers are the same flavor.
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.
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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%.
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pls help. will give brainliest :)
Answer:
its option B
Step-by-step explanation:
Answer:
the answer is d
Step-by-step explanation:
Find the area of the rhombus
: Andre poured 27 ounces of rice into 6 containers. If all containers have the same amount of rice, how many ounces are in each container?
Terre Haute to Indianapolis to Bloomington measure 3 cm on the map. What is the actual distance?
a) 100 km
b) 150 km
c) 200 km
d) 250 km
From the information given, it can be deduced that the actual distance from Terre Haute to Indianapolis to Bloomington is 150km.
From the complete information, we are told that on the map of Indiana, 1cm = 50km.
Therefore, since Terre Haute to Indianapolis to Bloomington measures 3 cm on the map, the actual distance will be:
= 3 × 50 = 150km
Learn more about distance on:
https://brainly.com/question/2166162
Answer:
if you are from connexus 8th grd 02051 pre-algebra A unit 5 lesson 6
then here are the correct answers
Step-by-step explanation:
1. B. 150 km
2. A. 300 km
3. D. 7.5 cm
4. B. 30 yd ^ 2
5. A. 90 x 45
i hope this helps please coment if you can! = ) <3
Which expression is equivalent to -51 - ( -60 ) ?
A. 51 - 60
B. 60 + 51
C. -60 + ( -51 )
D. -51 + 60
Answer:
C
Step-by-step explanation:
brainliest pls
A cone has a height of 15 millimeters and a radius of 15 millimeters. What is its volume?
Use a 3.14 and round your answer to the nearest hundredth,
Answer:
10,597.50 cubic mm
Step-by-step explanation:
V(cone) = [3.14(h)(r²)] ÷ 3
= 3.14(15)(15²) ÷ 3
= 10,597.5
Write the slope-intercept form of the line between the two points.
1. through: (0, 2) and (1, -3)
SI:
Write a quadratic function whose zeros are 2 and -12. 60 Point question Answer ASAP for brainliest!
Answer:
x^2 + 10x - 24 = 0
Step-by-step explanation:
Two zeros are 2 and -12:
x - 2 = 0x + 12 = 0So the function is (x-2)(x+12) = 0
<=> x^2 + 12x - 2x - 24 = 0
<=> x^2 + 10x - 24 = 0
At a basketball game, a vender sold a combined total of 161 sodas and hot dogs. The number of sodas sold was 31 more than the number of hot dogs sold. Find
the number of sodas sold and the number of hot dogs sold.
Answer:
65 hot dogs, 96 sodas
Step-by-step explanation:
x + (x + 31) = 161
2x + 31 = 161
2x = 130
x = 65
65 hotdogs
65 + 31 = 96
96 sodas
Which of these equals 2.427? Select all that apply. A 1.34 + 1.087 B 1.4 + 1.027 C 8.35 - 5.923 - D 6 - 3.573. Please help I'm doing my homework
Answer:
All of them are equal to 2.427
Step-by-step explanation:
A = 2.427
B = 2.427
C = 2.427
D = 2.427
(ii) A retailer paid Rs 40000 for an article after receiving a discount of 20% the marked price from the manufacturer. He sold the article to the customer at a discount of 10% on the marked price. If the rate of CGST is 6% and the sales are intra state, the price paid by the consumer is
(a) Rs 53760
(b) Rs 50400
(c) Rs 47700
(d) Rs 50880
if the answer is correct with explanation will mark you as BRAINLIST
Answer:
the answer is C
Step-by-step explanation:
40,000/.80 = 50,000
50,000 x .10 = 5,000
50,000 - 5,000 = 45,000
45,000 x .06 =2700
45,000 + 2,700 = 47,700
Solve each equation.
1) | 2x - 4 | = 10
2) -5 | -4x + 4 | - 7 = -67
Show all work please :D
[tex](1)\\\\|2x-4| =10\\\\\implies 2x-4 = 10~~ \text{or}~~ 2x -4 = -10\\\\\implies x = \dfrac{14}2 = 7 ~~\text{or}~~ x = -\dfrac{6}2=-3\\\\\\(2)\\\\-5|-4x+4|-7 = -67\\\\\implies -5|-4x+4| = -67 +7 = -60\\\\\implies |-4(x-1)| = \dfrac{-60}{-5}=12\\\\\implies 4|x-1| = 12\\\\\implies |x-1| =\dfrac{12}4 = 3\\\\\implies x-1 = -3~~\text{or}~~ x-1=3\\\\\implies x = -2~~ \text{or}~~ x = 4[/tex]
Please show me what the lines would look like on this piece wise function
Explanation:
The f(x) function is piecewise, and it has a double identity depending on what x is.
If x is between -6 and 1, excluding -6 but including 1, then f(x) = -6. This is the same as saying y = -6. This produces a horizontal flat line from x = -6 to x = 1. Note the open hole at x = -6 to indicate it's not part of the graph. In contrast, the closed hole at x = 1 is included.
The second piece says that y = -2x+5 when x is between 1 and 6, excluding both endpoints. We have open holes at each endpoint.
So to summarize, the f(x) function is a collection of two different functions depending on what the x input is. We only draw a small piece of each function based on the intervals provided by x.
James makes $44,059 per year, how much would he make monthly?
Answer:
$3671.58
Step-by-step explanation:
Take the annual salary and divide it by the number of months
pe
Two companies allow you to pay monthly for your food
A charges a one time fee of $150 and $45 per month Company B charges a
one time fee of $125 and $50 per
month
Answer:
A: 150+(45•p)
B: 125+(50•p)
Step-by-step explanation:
You multiply the monthly fee by a letter representing an unknown number because we dont know how many months you are staying with each company and we add the one time fee because you are only paying once, so in conclusion you add the one time fee to the result of the monthly fee by how many months.
5. Simplify the expression 49. (1 point)
O24.5
O 6.5
06
OT
6. Which of the following inequalities is true? (1 point)
Answer:
7
Step-by-step explanation:
the square root of 49 is 7 since 7 x 7 = 49
The average number of students in ten 5th grade classes is 27. Which of the following can be extrapolated from this information? *
A the average teacher to student ratio
B the average grade of a 5th grader
C the average number of students in all grades
D the average number of students in all 5th grade classes
Answer:
D
Step-by-step explanation:
Answer:
D would be the answer:) hope this helps
Can someone Please help me on this easy math problem
Step-by-step explanation:
Equation of a straight line
y = mx + c, m is the slope, and c the intercept
points (3,7) x = 3, y = 7, c = 1
7 = m × 3 + 1
7 = 3m + 1
3m = 7 - 1
3m = 6
m = 6/3
m = 2
Can someone please explain the steps?
Answer:
There all 67 degrees
Step-by-step explanation:
Answer:
y= 119
Step-by-step explanation:
From the diagram we know that opposite angles are the same so we can assume that y and its opposite angle will be the same too
All inner angles of a parallelogram add up to 360
61+61=122
360-122=238
238/2=119
find the equation of the line that is parallel to y=x-3 and contains the points (3,-2)
Emily drove to the ferry office and back. The trip there took four hours and the trip back took six hours. She averaged 20 km/h on the return trip. Find the average speed of the trip there.
Answer:
on the way there she was going at 25 km/hr
Step-by-step explanation:
5.
Which of the following equations describes the graph?
Step-by-step explanation:
I've been a substitute for a few day for College students so the answer is y equal s x2-5x+2
You might need: 3 Calculator
2
Find the area of the shape.
Either enter an exact answer in terms of t or use 3.14 for it and enter your answer as a decimal.
units?
Answer:
3.14 or pi
Step-by-step explanation:
the area of a circle = [tex]pi * r^{2}[/tex] where r is the radius of the circle
this is 1/4 of the circle, so it would be 1/4 (pi * r²)
it shows that the radius is 2, so you have
1/4 ( pi * 2²)
= 1/4 ( pi * 4 )
= 1/4 (3.14 * 4)
= 3.14 units²
Plzzzzz helpmeeeee plzzzzzz
27.81 + (-13.97) please help
Answer:
13.84
Step-by-step explanation:
Answer:
13.84
Step-by-step explanation:
im always here to help...
identify the x- and y- intercepts for the line: -3x+3y=27
Step-by-step explanation:
-3x + 3y = 27
-x + y = 9
y = x + 9
so the y-intercept is 9 (y value when x =0).
and as point (0, 9)
the x-intercept is the x value when y = 0 :
0 = x + 9
x = -9
and as point (-9, 0)
Which account option is more convenient for frequent check or debit card withdrawals and purchases but gains no interest?
A. Checking
B. Certificate of deposit
C. Savings
D. Money market
The best account if one plans to make frequent withdrawals via check or debit card is A. Checking account
Checking accounts:
Are the least interest bearing accounts Allow for frequent withdrawals using a check or debt card Charge lower feesChecking accounts are best when a person wants easy access to their money because they can get to it via checks or debit cards. The drawback however, is that interest on these accounts are low.
In conclusion, option A is correct.
Find out more about checking accounts at https://brainly.com/question/21714367.
given f(x)=1/4(5-x)2 what is the value of f(11)
Answer:
f(x)=1/4(5-x)²
Step-by-step explanation:
f(11)=1/4(5-11)²
1/4(-6)²
1/4(36)
=9
Answer:
=9
Step-by-step explanation:
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3. A car travels 65 miles in one hour. How many miles would the car travel in / an hour?
HELP ASAP
Answer:
A good way to know how to solve a problem like this is to look at the units. Here we have miles per hour (65 miles/hour) and hours (5 hours) and we want to find X miles. So take a look at the units:
(Miles/hour) * (hours) = miles
So we can just plug in the values…
65 * 5 = 325
Whenever I get confused by a question like this I always try to remember that the word "per" just means divided by. So mph = miles/hour. And from there the algebra is pretty simple.
Another tip, your physics professor will always be tickled if at the end of your answer you list some of the assumptions you made like this: "assuming the car is traveling at a perfectly constant rate without stopping."
Answer:
65
Step-by-step explanation:
If a car drives 65 miles in an hour, they would travel 65 miles in one hour. The equation for this would be 65x, with x representing the number of hours driven.