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
Choose the statement that is true. WILL MARK BRAINLIEST
A.) For a normal distribution, 68% of the distribution is within 3 standard deviations.
B.) For a normal distribution, 95% of the distribution is within 3 standard deviations.
C.) For a normal distribution, 99.7% of the distribution is within 3 standard deviations.
D.) For a normal distribution, 100% of the distribution is within 3 standard deviations.
Answer:
option A is correct
hope it helps :)
Step-by-step explanation:
The Standard Deviation Rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean. It states that
68% of data falls within the first standard deviation from the mean.
95% fall within two standard deviations.
99.7% fall within three standard deviations.
Therefore, looking at the options, the true statement id
A) For a normal distribution, 99.7% of the distribution is within 3 standard deviations.
I need to solve for G in the following equation
List all the angle measures from least to greatest.
From the three triangles
Answer:
40°, 43°, 60°
Step-by-step explanation:
In each triangle, you are given the measures of two angles. Subtract those two measures from 180° to find the measure of the third angle.
Triangle A:
c = 180° - 90° - 50°
c = 40°
Triangle B:
c = 180° - 112° - 25°
c = 43°
Triangle C:
c = 180° - 70° - 50°
c = 60°
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Find the area of the triangle shown.
square units
Reset
Next
Plz help
Step-by-step explanation:
the area of a triangle is baseline × height / 2.
now, we need to count the units : how long is the baseline, he long is the height from the baseline to the top vertex ?
I find the baseline is 14 units long.
the height is 7 units.
so, the area is
14×7/2 = 7×7 = 49 square units.
PLEASE HELP ASAP I NEED ANSWER IN LESS THAN 9 HOURS
Answer:
I dont really know if this is right, but for 5, y=5. I don't know what 6 is. Sorry.
You need to buy new soil for your garden. Find the area of the garden. Use the dimensions shown in the picture.
A triangle with side lengths 16.75 meters, 11.5 meters, and 19 meters. The height of the triangle is 10 meters.
CLEAR CHECK
95 square meters
190 square meters
47.25 square meters
57.25 square meters
Answer:
95 square meters
Step-by-step explanation:
I am answering this question assuming 19 is the base because it is the longest side on the triangle. (there is no picture provided)
The formula for area of triangle is base * height * 1/2
So 19 * 10 *1/2 is 95.
Help, this question is confusing me
Answer: They are all equations except c, which is a formula.
Step-by-step explanation:
The sum of -14 and a number is positive. Identify a possible value for that number
Explain your selection
Answer:
15
Step-by-step explanation:
Since, we need a number that if added to -14, it'll give a positive result. The first number is gonna be 15, . Because, it's the first number that can give a positive number if summed up with -14.
ben drives 1/4 mile in 2/3 hours. what is the rate at which he drives
Answer:
3/8 or 0.375mph.
Step-by-step explanation:
All you have to do for this is divide one fourth by two thirds. This way, you get the units to work out as well.
[tex]\frac{1}{4}/\frac{2}{3}=\frac{1}{4}*\frac{3}{2}=\frac{3}8=0.375mph[/tex]
ASAP
answer this please
as percentages
Answer:
Step-by-step explanation:
5/6= 83.33%
9/11= 81.81%
1 3/7= 142.85%
Answer:
(x) 83.(3)%
(xi) 81.(81)%
(xii) 142.(857142)%
Step-by-step explanation:
The thing to do is perform the division and write it as percentages.
Please note that all 3 of those are infinite fractions, so
83.(3) means 83.33333333333333333...
81.(81) means 81.8181818181818181...
142.(857142) means 142.857142857142857142857142857142...
If you wanted to round to nearest % or something, you can do that.
Eg. rounding to 2 places after the period:
83.(3)% ~= 83.33%
81.(81)% ~= 81.82%
142.(857142)% ~= 142.86%
41/30 as a mixed number
Answer:
1 11/30
Step-by-step explanation:
43 minus 30 equals 11, a prime number; can't simplify
Find the range of the function F(x) = the integral from 0 to x of the square root of 4-t^2 dt
Note that √(4 - t²) is defined only as long as 4 - t² ≥ 0, or -2 ≤ t ≤ 2. Then the real integral exists only if -2 ≤ x ≤ 2. (Otherwise we deal with complex numbers.)
If x = 2, then the integral corresponds to the area of a quarter-circle with radius 2. This means that the integral has a maximum value of 1/4 • π • 2² = π.
On the opposite end, if x = -2, then the integral has the same value, but the integral from 0 to -2 is equal to the negative integral from -2 to 0. So the minimum value is -π.
For all x in between, we observe that the integrand is continuous over the rest of its domain, so F(x) is continuous.
Then the range of F(x) is the interval [-π, π].
HELPP!! Can someone tell me what this expanded form is as a decimal??
(1 x 100) + (9 x 10) + (6 x 1) + (8x1/10) + (8 x 1/100)
Need help l don’t understand due soon
Answer:
x = 9
Step-by-step explanation:
44 = 2(3x-5)
2(3x-5) expanded is 6x -10
44= 6x -10
+10 to both sides
=
54 =6x
54 divide by 6 = 9
x = 9
please mark as brainlesit is correct.
Answer:
First solve the paranthesis, 2*3x and 2*5, from here we will get the new equation, 44= 6x-10, now you can change sides of the known values to simplfy the question, 44+10=6x -> 54=6x, now divide each side by 6 to find x, 9=x
Step-by-step explanation:
How would you graph the solution set of x - 2 > 5?
Open circle on 7 and shaded to the right.
Closed circle on 7 and shaded to the right.
Open circle on 7 and shaded to the left.
Closed circle on 7 and shaded to the left.
open circle on 7 shaded to the right
how do you solve this do i need to plpug in the formula
Answer:
B. -2, 2
Step-by-step explanation:
Apparently, we're to presume that f(x) is the line that is graphed. It has a y-intercept of +1 and a slope (rise/run) of 1/2. Its equation is ...
f(x) = 1/2x +1
If we want points of intersection, we want to solve the equation f(x) = g(x) for the values of x that make it so.
1/2x +1 = √(x +2)
Squaring both sides, we get ...
1/4x² +x + 1 = x +2
1/4x² = 1 . . . . . . . . . . . . subtract x+1 from both sides
x² -4 = 0 . . . . . . . . . . multiply by 4, subtract 4
(x -2)(x +2) = 0 . . . . factor the difference of squares
x = -2, 2 . . . . . . . . . values of x that make the factors zero
The solutions to f(x) = g(x) are x = -2 and x = 2.
_____
Additional comment
The attached graph shows the x- and y-values at the points of intersection. The solutions to f(x) = g(x) are only the x-values, -2 and 2.
The square of (ax +b) is ...
(ax +b)² = a²x² +2abx +b²
The point-slope equation of a line is ...
y = mx + b . . . . . line with slope m and y-intercept b
What are the amounts of interest and maturity value of a loan for ₱180,000 at 5 % *
1 point
A. Is = ₱18,000 ; F= ₱198,000
B. Is = ₱27,000 ; F= ₱207,000
C. Is = ₱36,000 ; F= ₱216,000
D. Is = ₱45,000 ; F= ₱227,000
Answer:
CHOPE IT HELPS YOU BRAINLIEST
It would be too much to write so here is a photo instead :D
Answer:
C) Justine left her grandmother's house and walked 3 blocks directly south. Then she walked 3 blocks directly north. At this point, how many blocks was Justine from her grandmother's house?
Explanation:
C is the only answer choice where you are starting at 0. Justine goes down 3 blocks and comes back up 3 blocks getting her back to 0.
Answer choice A goes from -10 to 10.
Answer choice B goes from -16 to 16.
Answer choice D goes from 10 to -10.
60 Point Question Answer ASAP! Brainliest to best/first answer
Step-by-step explanation:
the change rate between the data points gives us the print rate.
so,
(f(x2) - f(x1)) / (x2 - x1)
starting with x1 = 10 and x2 = 15 we see
(133 - 98) / (15 - 10) = 35/5 = 7
that means he is printing 7 pages per minute.
we see that we have the same difference (35 prints) for every following 5-minute interval.
so, that is the confirmed print rate.
and yes, the amount is increasing, of course.
after 10 minutes he has 98 flyers but we know he could have printed only 7×10 = 70 flyers in that time.
so, he started with 98-70 = 28 flyers before actually printing new ones.
Plzzzzz helpnmeeee plzzzz
Give me answer plz !!!
Answer:
c.-2.5 ,because[2.5]=2.5
Step-by-step explanation:
I hop this is fine
Answer:
B part
Step-by-step explanation:
2.5 because |2.5| = 2.5 and it's never negative.
Hope it helps :)
what is the sqare root of 12
Answer:
3.46 but if you simplify it is 3.5
Step-by-step explanation:
Answer:
3.46410161514
Step-by-step explanation:
/[tex]\frac{x-9}{15} =\frac{2x-9}{10\\}[/tex]
Step-by-step explanation:
[tex] \frac{x - 9}{15} = \frac{2x - 9}{10} \\ [/tex]
[tex] \frac{x - 9}{3} = \frac{2x - 9}{2} \\ [/tex]
[tex]2( x - 9) = 3(2x - 9) \\ [/tex]
[tex]2x - 18 = 6x - 27[/tex]
[tex]27 - 18 = 6x - 2x[/tex]
[tex]9 = 4x[/tex]
[tex]x = \frac{9}{4} \\ [/tex]
someone pls help me!!!!
Answer:
-2
Step-by-step explanation:
The interval [-6. -4] refers to x values.
At x = -6, in the line in the middle of -4 and -8, y = 0 at the x axis
At x = -4, y = -4. We know this because when the function crosses x = -4, y = -4 at that point.
The average rate of change is equal to (change in y)/ (change in x) = (yfinal - yinitial) / (xfinal - xinitial) (or the other way around in terms of final and initial)
= (-4 - 0) / (-4 - (-6)) = -4 / (-4 + 6) = -4/2 = -2
Which of the following polynomial functions is graphed below? OA. f(x) = (x - 2) ^ 2 * (x + 3) * (x - 1) O B. f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1) O. f(x) = (x + 5) * (x + 1) ^ 2 * (x - 1) D. f(x) = (x - 5) * (x - 1) ^ 2 * (x - 1)
The function of the polynomial is (b) [tex]f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1)[/tex]
From the graph, we have the following highlights
The graph crosses the x-axis at x = -1 and x = 3The graph touches the x-axis at x = -2The above highlights mean that:
The function has a multiplicity of 1 at x = -1 and x = 3The function has a multiplicity of 2 at x = -2So, the function of the polynomial is:
[tex]f(x) =a(x + 2)^2(x + 1)(x - 3)[/tex]
Assume a = 1.
So, we have:
[tex]f(x) =1(x + 2)^2(x + 1)(x - 3)[/tex]
Multiply
[tex]f(x) =(x + 2)^2(x + 1)(x - 3)[/tex]
Hence, the function of the polynomial is (b) [tex]f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1)[/tex]
Read more about polynomial graphs at:
https://brainly.com/question/8878887
Describe fully the single transformation which takes shape A to shape B
Answer:
Translation down by 1 then reflection over Y axis.
Step-by-step explanation:
The Raitio of 20:360
Answer:
If you need it as a fraction then it is 1/18
Step-by-step explanation:
Please help only if you know. And please don't get this taken down or deleted- this question is very important and confuses me.
What interval would be appropriate to graph the data? what does the question mean???
Answer: This question is not right
Step-by-step explanation:
What you have asked is how much should the numbers go up on a graph so it all fits on the graph and can be understood.
1st we need to know what data if your numbers were 5 15 20 25 25 20 15 an appropriate interval would be by 5's however if your data was 100 500 1100 800
There would be no way you could fit it on a graph if you went up by five. A better interval would be 100's
Based on my response I hope you can see that in order to find appropriate interval to graph the data we need the data and that you now see what to do or can update the question
3.8 : (4c+3) = 2 : 2/19I’d appreciate itCorrect answer will be named brainlist
Answer:
c = -0.7
Step-by-step explanation:
It looks like you have the proportion ...
[tex]\dfrac{3.8}{4c+3}=\dfrac{2}{\left(\dfrac{2}{19}\right)}\\\\0.4=2(4c+3)\qquad\text{cross multiply}\\\\0.4=8c+6\qquad\text{eliminate parentheses}\\\\-5.6=8c\qquad\text{subtract 6}\\\\\boxed{c=-0.7}\qquad\text{divide by 8}[/tex]
Answer:
c = -0.7
Step-by-step explanation:
[tex]\rm⇢ \: \: \frac{3.8}{(4c + 3)} = \frac{2}{( \frac{2}{19} )} [/tex]
[tex]\rm⇢ \: \: 2(4c + 3) = 3.8( \frac{2}{19} )[/tex]
[tex]\rm⇢ \: \: 8c + 6 = 0.4[/tex]
[tex]\rm⇢ \: \: 8c = - 5.6[/tex]
[tex]\rm⇢ \: \: c = - 0.7[/tex]
Find the interest earned if you place $76.43 into an account that pays 21.5% simple interest, and leave it in for 3 months
Answer:
$49.297
Step-by-step explanation:
21.5% x 3
divide answer by $76.43
leaves you with how much interest you have earned in 3 months.