Using the hypergeometric distribution, it is found that there is a 0.4286 = 42.86% probability of getting 2 of the same colour.
The marbles are chosen without replacement, hence the hypergeometric distribution is used to solve this question.
What is the hypergeometric distribution formula?The formula is:
[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 is a total of 3 + 4 = 7 marbles, hence N = 7.Of those, 3 are blue, hence k = 3.2 marbles will be taken, hence n = 2.The probability of getting 2 of the same colour is the sum of P(X = 0), which is both red, with P(X = 2), which is both blue, then:
[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 = 0) = h(0,7,2,3) = \frac{C_{3,0}C_{4,2}}{C_{7,2}} = 0.2857[/tex]
[tex]P(X = 2) = h(2,7,2,3) = \frac{C_{3,2}C_{4,0}}{C_{7,2}} = 0.1429[/tex]
Hence:
[tex]p = P(X = 0) + P(X = 2) = 0.2857 + 0.1429 = 0.4286[/tex]
0.4286 = 42.86% probability of getting 2 of the same colour.
You can learn more about the hypergeometric distribution at brainly.com/question/4818951
pls help its geometry
The answer is AA (Angle-Angle) because when two triangles have two congruent angles, both the triangles are congruent.
I hope this helps
2.
A recipe calls for 2
c. of flour for every
16 lbs of fruit.
What is the ratio
of four to fruit in
simplest form?
Answer:
1:8
Step-by-step explanation:
well, you're starting with the ratio 2:16, if you divide that by 2 (simplest form) you get 1:8
what is 15 meters decreased by 60%
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{60\% of 15}}{\left( \cfrac{60}{100} \right)15}\implies 9~\hspace{7em} \stackrel{15-9}{6}[/tex]
Answer:
-9
Step-by-step explanation:
Solve -2x+4y=12 for y. A) y=2x+3 b) y= 1/2x+3 c) -y=-1/2x -3 d) x-2y=-6
Answer:
B y=1/2x+3
Step-by-step explanation:
1st isolate y by its self. 2nd eliminate x form left side. 3rd add +2 to both sides.4th divide both side with 4. then you divide both sides and you should get y=1/2x+3.
Refer to the figure at the right to determine the nearest of each given angle.
25 points if correctly!
Ignore the white scribbles.
If answered best of all the person who gave the answer will get brain thingy.
It’s due today.
A vending machine randomly dispenses gumballs of three flavors: orange, grape, and cherry. If the machine currently contains 20 orange, 12 grape, and 7 cherry gumballs, what is the least number of gumballs the machine must dispense in order to ensure that three orange gumballs have been dispensed
Answer:
22
Step-by-step explanation:
Find the worst case scenario.
Worst case:
12 grape gumballs, 7 cherry gumballs, and 3 orange gumballs.
12 + 7 + 3 = 22
The answer is 22 gumballs.
Hope this helps :)
Have a great day!
50(x-60) help me or i'll FAIL
Answer:
50x - 3000
Step-by-step explanation:
Use the distributive property
50x - 3000
How do sig figs work for subtration if there are no decimals.
Answer:
In picture
I hope this helps! :)
I put my old notes in the second picture to better help you understand if they don’t please comment on this and I’ll try to help you further.
What is the value of x? Round to the nearest tenth, if necessary. X = 4 x = 5 x = 6. 2 x = 9. 4.
You can use the Pythagoras theorem to get the value of x.
The value of x is given by
Option C: x = 6.2
What is Pythagoras theorem?The Pythagoras theorem:
If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
Using the above theorem to find the value of x for the given figureRefer to the figure attached below.
The triangle BAD is right angled triangle (one angle is 90 degrees).
The length of CD is 13 - x units.
Thus, we have:
[tex]|AD|^2 + |DB|^2= |AB|^2\\\\Length(AD)= \sqrt{169-81} = \sqrt{88} = 2\sqrt{22}[/tex]
For triangle ACD, we have:
[tex]|AC|^2 +|CD|^2 = |AD|^2\\|AC| = \sqrt{(2\sqrt{22})^2 - (13-x)^2} = \sqrt{-81 -x^2 - 26x}\\[/tex]
For triangle ACB, we have;
[tex]|AB|^2 = |AC|^2 + |CB|^2\\81 = (-81-x^2 +26x) + x^2\\\\x = \dfrac{162}{26} = \dfrac{81}{13} \rm \: units \approx 6.2 \: \rm units[/tex]
Thus,
The value of x is given by
Option C: x = 6.2
Learn more about Pythagoras theorem here:
https://brainly.com/question/12790596
Find the number that makes the ratio equivalent to 1:9.
5:
steps pls
Answer:
The number might be 2and 18 if we find ratio of 2 and 18 it comes 1:9
Help please helpppppppppp
Answer:
2 1/2 inches
Step-by-step explanation:
(See attachment below)
Simplify the expression 3^7n^32 3^2n^84?
Answer:
19683^116
Step-by-step explanation:
`whats 1+1=? and why does it equal that?
Answer: 1 + 1 = 2
Step-by-step explanation:because that's how we've defined it, in the same way that the word "cat" refers to small, furry, feline creatures because that's how we've defined it.
Answer:
1 + 1 = 11! :D No, just kidding 1 + 1 = 2
Step-by-step explanation:
1 + 1 = 2. You're taking 2 numbers (1) worth 1 value and adding them together to make the number 2.
I dont know how to explain but I hope this cures your curiosity-
Please help me ANYONE ANYBODY I NEED HELP NOW
Answer:
1. Dots
2.Blank
3. Stripes
4. Stars
Step-by-step explanation:
Well the total is 30 and we just have to see the fraction of each time in landed on a specific part of the spinner. So first the probability of landing on dots is 6/30 = 1/5
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Then the experimental probability of getting a blank is 8/30 = 4/15
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Continuing in the same manner getting stripes would have a chance of 12/30 which is 2/5
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
And lastly landing on a star would be 4/30 = 2/15
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
(*Remember* Experimental Probability is the same as normal probability)
If you don't understand why everything is out of 30, you might want to watch some videos online about basic probability just to get an understanding if it :)
I hope this helped! I'm sorry I didn't get this to you 4 hours ago but to be fair I was studying at that time ^_^
Solve the given equation.64^-x/3=1024
hi there the anser is 4
Y=2x
6x+3y=-12
What is the answer and how did you get the answer? Write the answer and show the process of how you got that answer.
Step-by-step explanation:
By substitution method
6x+3(2x)=12
6x+6x =12
12x=12
x=1
y=2x
y=2*1
y=2
what is the best way to do fractions
use the internet it help you alot
Graph a line that contains the point (-5,-3) (−5,−3) with a slope of -2
What's the answer please help??
Answer:
See below and attached graph.
Step-by-step explanation:
The slope-intercept form of a straight line equation is y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0).
With a slope of -2, we can write:
y = -2x + b
To find b, enter the given point (-5,-3) and solve for b:
y = -2x + b
-3 = -2(-5) + b
-3 = 10 + b
b = -13
The equation becomes: y = -2x -13
See the attached graph.
PLS HELP WILL MARK AS BRAINLIST
(-3, 6)
(-5, 3)
(-1,3)
(-3,0)
Translated 3 units down 6 units right
Answer:
(3,3)
(1,0)
(5,0)
(6,-3)
Step-by-step explanation:
+6 to the x's and -3 to the y's
A dog kennel charges $40 to board a dog for one night and $35 per night for each night after that. Henry paid a total of $215 for dog boarding.
For how many nights did Henry board his dog?
Answer:
5 nights.
Step-by-step explanation:
215=35x+40
car buyer bought a used car for $20,250. The car depreciates by 11% per year. The following equation describes the value of the car, where y represents the number of years since the car was purchased. v ( y ) = 20 , 250 ( 1 − 0.11 ) y Which equation is equivalent and can be used to determine the value of the car 6 months after it was purchased? v ( y ) = 20 , 250 ( 0.89 ) 6 v ( y ) = 20 , 250 ( 0.89 ) 6 v ( y ) = 20 , 250 ( 0.89 1 12 ) 6 v ( y ) = 20 , 250 ( 0.89 1 12 ) 6 v ( y ) = 20 , 250 ( 0.89 ) 1 12 ( 0.89 ) 6 v ( y ) = 20 , 250 ( 0.89 ) 1 12 ( 0.89 ) 6 v ( y ) = 20 , 250 ( 0.89 ) 6 ( 0.89 ) 6
The equation that can be used to determine the value of the car after 6 months is v(y) = 20,250(0.89)^6/12
What is deprecation?
Depreciation is the rate of decrease in value of an asset. When an asset depreciates, it declines in value with the passage of time.
What equation represents the value of the car after 6 months?The formula that can be used to represent depreciation is:
FV = P (1 + r)^n
FV = Future value P = Present value R = interest rate N = number of yearsv(y) = 20,250(1 - 0.11)^t
v(y) = 20,250(0.89)^6/12
To learn more about future value, please check: https://brainly.com/question/18760477
This is for 60 points please answer ASAP
Answer:
In 10.2 years the populations will be equal (390 each).
Step-by-step explanation:
See attached graph.
Which graph represents the solution to the given system y=-x 2.
Answer:
You didn't post a graph but it should look like this:
Step-by-step explanation:
What is 6[cos(70°) i sin(70°)] ÷ 2[cos(5°) i sin(5°)]? 3[cos(75°) i sin(75°)] 4[cos(75°) i sin(75°)] 3[cos(65°) i sin(65°)] 4[cos(65°) i sin(65°)].
Step-by-step explanation:
If we have
[tex] \frac{r( \cos(x) + i \sin(x) }{s( \cos(v) + i \: sin(w)} = \frac{r}{s} ( \cos(x - v) + i \: sin(x - w)[/tex]
So first we know the modulus is 6 and 2 for the second one so we get
[tex] \frac{6}{2} = 3[/tex]
First degree is 70 , and second is 5 so our degree will be 65 in the second because
70-5=65
Our answer is
[tex]3( \cos(65) + i \: \sin(65) )[/tex]
Answer:c.
Step-by-step explanation:
how to do this i need help
Answer: Do not take it
Step-by-step explanation:
Because 9 times eight is 72 and half of that is 36 so you if you take it you would make 108 but if you do not take the deal you will make 137
Answer:
the answer is No
Step-by-step explanation:
Steven received scores of 70, 95, and 80 on his last three math tests. He needs a mean test score of 80 to qualify for the math team. What is the answer?
Answer:
81.7
Step-by-step explanation:
I did the math.
Good luck (:
Answer:
Steven needs a total score of 320 to have a mean of 80 and Steven has obtained 245 so far. So, he needs atleast 75 more to qualify for the maths team.
Use the distributive property to write an equivalent expression.
9(9x+2y-6)
Step-by-step explanation:
Multiply the number outside the brackets to the numbers inside:
So,
9 * 9x = 81x
9 * 2y = 18y
9 x -6 = -54
So the simplified or equivalent expression is:
81x + 18y - 54
PLEASE ANSWER ACCURATELY! TYSM!
In the group of ordered pairs shown, the x-values are inputs and the y-values are outputs. Which statements are true about the inputs and outputs? Select all that apply(2,4), (6,3), (5,4), (7,3), (8,2)
A. There is only one output for every input
B. There is only one input for every output
C. There is more than one output for some inputs
D. There is more than one input for some outputs
Answer:
C
Step-by-step explanation:
If you look at your y value which would be your Output you can see the number 4 repeated multiple times
Therefore leading up to the answer that there is more than what output.
The input is the number you feed into the expression, and the output is what you get after the look-up work or calculations are finished.
Hope this helps :)
What is the value of a in the equation below?
3 1/2a - 16 = 3a – 10
a =
Answer:
[tex] \frac{3}{2} a - 16 = 3a - 10 \\ \frac{3}{2} a - 3a = 16 - 10 \\ - \frac{ 3a}{2} = 6 \\ a = - 4[/tex]
A meteor moving 475 km per minute traveling in a south-to-north direction passed near Earth
in 2013. Because the meteor was only 45 m wide and was 27,700 km above Earth's surface,
it was not visible without the aid of a telescope.
A)
Its velocity was 475 km/second southward
B)
Its acceleration was 475 km/second2.
09
Its velocity was 475 km/ minute northward
D)
Its acceleration was 7.8 km/second2.
Answer:
C. its velocity was 475 km/ minute northward.
Step-by-step explanation:
Its velocity was 475 km/ minute northward. Then the correct option is C.
What is a vector?The quantity which has magnitude, and direction, and follows the law of vector addition is called a vector.
A meteor moving 475 km per minute traveling in a south-to-north direction passed near Earth in 2013. Because the meteor was only 45 m wide and was 27,700 km above Earth's surface, it was not visible without the aid of a telescope.
The velocity is the vector quantity. So, the direction in the space will not change.
Its velocity was 475 km/ minute northward. Then the correct option is C.
More about the vector link is given below.
https://brainly.com/question/13188123
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