An individual can win a bouncy ball by guessing under which one of four cups the ball is located. After each guess, if the ball is won, a new ball is placed randomly under one of the four cups. If the ball is not won, then the ball is again placed randomly under one of the four cups. If an individual makes five guesses, what is the probability the individual will win a prize exactly two times?
Answers
Answer:
I think that it is: [5 2] (.25)^2(.75)^3
Step-by-step explanation:
This looks like a binomial distribution problem. The formula for that is:
A common discrete distribution is used in statistics. The probability the individual will win a prize exactly two times out of five is 0.2637.
What is Binomial distribution?A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,
[tex]P(x) = ^nC_x p^xq^{(n-x)}[/tex]
Where,
x is the number of successes needed,
n is the number of trials or sample size,
p is the probability of a single success, and
q is the probability of a single failure.
The probability of getting a ball out of the four cups will be,
[tex]P = \dfrac14[/tex]
The probability of not getting the ball out of the four cups will be,
[tex]q = \dfrac34[/tex]
Now, using the binomial distribution the probability the individual will win a prize exactly two times out of five can be written as,
[tex]P(x) = ^nC_x p^xq^{(n-x)}\\\\P(x=2) = ^5C_2 \cdot (\dfrac{1}{4})^2\cdot (\dfrac34)^{(5-2)}\\\\P(x=2) = 10 \cdot \dfrac{1}{16} \cdot \dfrac{27}{64}\\\\P(x=2)=0.2637[/tex]
Hence, the probability the individual will win a prize exactly two times out of five is 0.2637.
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Related Questions
Which graphs best describes the function y = 4x
Answers
Answer:
J
Step-by-step explanation:
check by multiplying each x value by 4
Answer:
D (J)
Step-by-step explanation:
y=4x is basically multiplying the x value by 4; 10*4 is 40, 20*4 is 80, and so on.
Lisa is 4 years older than Thomas. Carla is twice as old as Lisa. The sum
of their ages is 56. How old is Lisa?
Answers
Answer:
Lisa is 24.
Step-by-step explanation:
56/2=28
28-4-thomas=24-lisa \
Carla is 28, Thomas is 20, and Lisa is 24. Hope this helps! :)
Identify the 31st term of an arithmetic sequence where a1 = 26 and a22 = −226.
−334
−274
−284
−346
Answers
Answer:
a31 = -334
Step-by-step explanation:
Given:
a1 = 26
a22 = -226
Find:
a31
Computation:
a22 = a + 21d
-226 = 26 + 21d
d = -12
a31 = a + 30d
a31 = 26 + 30(-12)
a31 = 26 - 360
a31 = -334
a1 = 26 and a22 = −226.
Answer:
A) −334
The sum of two numbers is 48.if the smaller number is subtracted from the larger the difference is 12 find the number
Answers
Answer:
18
Step-by-step explanation:
30 + 18 = 48
30 - 18 = 12
Both true, so our solution is correct.
The value of the larger number is 30 and the value of the smaller number is 18.
What is a number system?A numeral system is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set in a consistent manner using digits or other symbols. In different numeral systems, the same sequence of symbols can represent different numbers.
Given that the sum of two numbers is 48. if the smaller number is subtracted from the larger the difference is 12. The two numbers will be calculated as,
x + y = 48
x - y = 12
________
2x = 60
x = 30
y = 30 - 12
y = 18
Therefore, the value of the larger number is 30 and the value of the smaller number is 18.
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Which of these strategies would eliminate a variable in
the system of equations?
8x + 8y = 2
8x + 5y = 1
Answers
Answer:x = -1 / 12
Step-by-step explanation: am i right??
8x + 8y = 2 -------(1)
8x + 5y = 1 -------(2)
subtract equation (2) from equation (1)
The 8x will be eliminated, leaving us with;
3y = 1
Divide bothside of the equation by 3
y = 1/3
substituting y = 1/3 in equation (1)
8x + 8y = 2
8x + 8(1/3) = 2
8x + 8/3 = 2
subtract 8/3 from both-side
8x + 8/3 -8/3 = 2 -8/3
8x = 2 - 8/3
8x = 6 - 8 / 3
8x = - 2/3
Divide both-side of the equation by 8
8x / 8 = -2/3 ÷ 8
x = -2/3 × 1/8
x = -1 / 12
Can someone please answer this question for me ?
Answers
Answer:
Yes I agree with Andre's example. I agree with Andre's example because ants have 6 legs so you would write L= 1/6 x a.
Step-by-step explanation:
Hope this helps :)))
y = x + 2
y = 3x - 2
O A. (2, 4)
B. (4,2)
C. (0,2)
D. (0,-2)
Answers
Answer:
A
Step-by-step explanation:
Can someone actually help me with this
Answers
Answer: X = 30*
All circles = 360*
we can subtract 260 from that because we know the length of one so we know the other is 130.
We are then left with only 100 and we know the two sides are equivalent so 100 / 2 = 50
There are 3 feet in 1 yard. How many feet are equal to 10 yards
Answers
Answer:
30 feet
Step-by-step explanation:
There a 3 ft in a yard
If there's 10 yards
then multiply 10 x 3 to get 30 feet
I NEED HELP ASAP!!!!!
please help out;
What is the surface area of this triangular prism?
Answers
Answer:
Step-by-step explanation:
14x3x2=84
(12x10x2)/2=12x10=120
120+84=204
Answer:
SA=724 mm^2
Step-by-step explanation:
14*13==182,*2=364
14*10=140
10*12=120, *1/2=60, *2=120
364+140+120=724
SA=724 mm^2
What piece of evidence could Quinn add to best strengthen her argument?
Answers
Answer: A.
Step-by-step explanation: Its seems the only one on topic
P varies inversely with x. If P = 7 when x = 8, find the value of P when x = 7. A. 0.125 B. 1 C. 7 D. 8
Answers
Step-by-step explanation:
P = 8
Step-by-step explanation:
Given that P varies inversely with x then the equation relating them is
P = \frac{k}{x} ← k is the constant of variation
To find k use the condition P = 7 when x = 8 , then
7 = \frac{k}{8} ( multiply both sides by 8 )
56 = k
P = \frac{56}{x} ← equation of variation
When x = 7 , then
P = \frac{56}{7} = 8
Bill's favorite breakfast cereal is available in four different sizes. Which is the best buy?
15-ounce box for $4,20
B 10-ounce box for $3.10
© 22-ounce box for $5.72
18-ounce box for $4.50
Answers
Answer:
The best deal is the 18 ounce box
Answer:
the 18 ounce box is cheapest per ounce
Step-by-step explanation:
1. .28per ounce
2. .31per ounce
3. . 26per ounce
4. .25per ounce
Match the equation with the correct graph
Answers
Quizzz please help !
Answers
Answer:
it costs 2 dollars :)
Step-by-step explanation:
Answer: 2 dollars
Step-by-step explanation: simplify the ratio 5:10 to 1:2 (1 for each piece of chicken and 2 for each dollar)
Point Q is image of (-7,-6) under the translation (x,y)=(x+12,y+8)
Answers
Solve for w.
44=2w
Simplify your answer as much as possible.
Answers
Answer:
The answer is 22.
Step-by-step explanation:
dklecmmkek
I need help!
How do you know if an equation is exponential growth or exponential decay or not an exponential equation? For example, what is y=2(0.5)^-the exponent is x
Answers
Answer:
If a is positive and b is greater than 1 , then it is exponential growth. If a is positive and b is less than 1 but greater than 0 , then it is exponential decay
Step-by-step explanation:
small baby answer
I need help pleaseeee
Answers
Answer:
Option A
Step-by-step explanation:
Thisbis because when two of them are hanged on the same side it means that it's addition. (Addition of weight)
I got a 60 so I have to do it again and this is one of the questions pleas help
Answers
which fraction is equvalient to 2*10
Answers
Help please
I need the correct answer to this pic
I will mark you brainliest for this correct answer
Answers
Answer:
the answer is B hope this helps you out
What is [tex]5x(3+2y)-4x+7y[/tex] No calculators and show your work so I actually understand
Answers
Answer:
ez, multiply out the first part, to become [tex]15x+10y[/tex][tex]-4x+7y[/tex] and now simplify and add up similar terms to get [tex]11x+17y[/tex] :)
Step-by-step explanation:
Troy drew the diagram below. The inner circle has a radius of 2 units, and the outer circle has a radius of 5 units. Troy says the two circles are similar.
Which statement best explains whether Troy is correct, and why?
He is correct because the inner circle is a dilation of the outer circle.
O
He is correct because the inner circle has the same center as the outer circle.
O
He is not correct because the inner circle's radius is less than the outer circle's radius.
He is not correct because the inner circle's radius is not half of the outer circle's radius.
o
Answers
Answer:A he is correct because the inner circle is a dilation of the outer circle
Step-by-step explanation: just did the test
The statement "He is correct because the inner circle is a dilation of the outer circle" is the best explanation.
What is dilation?Dilation is the process of modifying the size of an item or form by reducing or expanding its dimensions according to specific scaling variables.
The radius of the inner circle is 2 units, while the radius of the outer circle is 5 units.
Since dilations provide similar figures because multiplying by the scale factor yields proportionate sides while keeping the angle measure and form constant.
Troy is accurate if he claims the two circles are similar.
Hence, the statement (A) "He is correct because the inner circle is a dilation of the outer circle" is the best explanation.
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PLEASE HELP YA GIRL OUT ILL GIVE U BRAINLIST
Answers
Answer:
12.75feet (12¾)
Step-by-step explanation:
7t+1+5t+8=162feet
12t+9=162feet
12t=162-9
=153
t = 153÷9
=12.75feet (12¾feet)
Help? I don't know how to work this one out
Answers
Answer:
(n + 1) (5m + 4)
Step-by-step explanation:
⇒ (n + 1) (5m + 4)
⇒ 5mn + 4n + 5m + 4
⇒ 5mn + 5m + 4n + 4
Answer:
(n + 1)(5m + 4)
Step-by-step explanation:
Given
5mn + 5m + 4n + 4 ( factor the first/second terms and the third/fourth terms )
= 5m(n + 1) + 4(n + 1) ← factor out (n + 1) from each term
= (n + 1)(5m + 4)
What is the Greatest Common Denominator or factor between 244 & 48
Answers
Answer:
GCF = 4.
Step-by-step explanation:
Find the prime factors:
48 = 2*2*2*2*3
244 = 2*2*61
The greatest common factor, the GCF) (picking out the common values) =
2 *2 = 4.
A really clever way of finding the GCF of 2 numbers is Euclid's algorithm. It can be used for very large numbers where it would be time consuming and/or rather difficult to find prime factors:
Given two whole numbers where a is greater than b, do the division a ÷ b = c with remainder R.
Replace a with b, replace b with R and repeat the division.
Repeat step 2 until R=0.
When R=0, the divisor, b, in the last equation is the greatest common factor.
So applying this to our problem:
244 / 48 = 5 remainder 4
Replacing a (244) with 48 and b (48) with R (4):-
48/4 = 12 remainder 0.
So the GCF is 4.
Simplify the expression.
-2.4f + 0.3f-16 - 3
-2.4f + 0.3f-16 -3=
Answers
Answer:
-2.1f-18
Step-by-step explanation:
-2.4f+0.3f=-2.1f.
-16-3=-19
If correct I’ll give brainlist
Answers
[tex]\frac{2}{3}[/tex]
When graphed, the equation 2x - 3y = -3 forms a linear function. The slope of that line is 2/3.
Make A the subject of the formula
r = squareroot A/3
Answers
Answer:
3 x [tex]r^{2}[/tex]
Step-by-step explanation: