Answer:
That corresponds to a width of 3.5 feet, so a yard of paper covers an area of 3 x 3.5 = 10.5 square feet
Suppose you play a game in which 5 dice (6-sided) are rolled simultaneously.
If a "4" is rolled, then you win $2 for each "4" showing.
If all the dice are showing "4", you win $1000.
If none of the dice are showing "4", then you lose $5.
What is the expected value of this game. (Show work)
If you want to you can take a photo of the work and upload it.
The expected value of the game in which 5 dice (6-sided) are rolled simultaneously is -0.2094.
How to find the mean (expectation) and variance of a random variable?Supposing that the considered random variable is discrete, we get:
Mean = [tex]E(X) =[/tex] [tex]\sum_{\forall x_i} f(x_i)x_i[/tex]
Here, [tex]x_i; \: \: i = 1,2, ... ,[/tex] n is its n data values and [tex]f(x_i)[/tex]is the probability of [tex]X = x_i[/tex]
Suppose you play a game in which 5 dice (6-sided) are rolled simultaneously.
If a "4" is rolled, then you win $2 for each "4" showing.If all the dice are showing "4", you win $1000.If none of the dice are showing "4", then you lose $5.Let Y is the amount of money player won. The value of X can be,
[tex]Y=2,4,6,8,1000,-5[/tex]
How to find that a given condition can be modeled by binomial distribution?Binomial distributions consists of n independent Bernoulli trials. Bernoulli trials are those trials which end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))
Suppose we have random variable X pertaining binomial distribution with parameters n and p, then it is written as
[tex]X \sim B(n,p)[/tex]
The probability that out of n trials, there'd be x successes is given by
[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]
The expected value and variance of X are:
[tex]E(X) = np\\ Var(X) = np(1-p)[/tex]
Put the values as 5 trials for each time 4 appears.
[tex]P(X =0) = \: ^5C_1(\dfrac{1}{6})^0(1-\dfrac{1}{6})^{5-0}=0.4018 \:\\P(X =1) = \: ^5C_1(\dfrac{1}{6})^1(1-\dfrac{1}{6})^{5-1}=0.402\\P(X =2) = \: ^5C_2(\dfrac{1}{6})^2(1-\dfrac{1}{6})^{5-2}=0.162\\P(X =3) = \: ^5C_3(\dfrac{1}{6})^3(1-\dfrac{1}{6})^{5-3}=0.032\\P(X =4) = \: ^5C_4(\dfrac{1}{6})^4(1-\dfrac{1}{6})^{5-4}=0.0032\\P(X =5) = \: ^5C_5(\dfrac{1}{6})^5(1-\dfrac{1}{6})^{5-5}=0.00013\\[/tex]
The probability of loosing $5 equal probability of 0 success.
[tex]P(Y=-5)=P(x=0)[/tex]
Similarly, for probability of getting profit are,
[tex]P(Y=2)=P(x=1)\\P(Y=4)=P(x=2)\\P(Y=6)=P(x=3)\\P(Y=8)=P(x=4)\\P(Y=1000)=P(x=5)[/tex]
Expected value of game,
[tex]E(Y)=\sum y .P(Y=y)\\E(Y)=-5.P(X=0)+2.P(X=1)+4.P(X=2)+6.P(X=3)+8.P(X=4)+1000.P(X=5)\\E(Y)=-0.2094[/tex]
Thus, the expected value of the game in which 5 dice (6-sided) are rolled simultaneously is -0.2094.
Learn more about expectation of a random variable here:
https://brainly.com/question/4515179
Learn more about binomial distribution here:
https://brainly.com/question/13609688
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What is z in the context of the problem that’s at hand?
Answer:
The value of the z-score tells you how many standard deviations you are away from the mean. If a z-score is equal to 0, it is on the mean. A positive z-score indicates the raw score is higher than the mean average. For example, if a z-score is equal to +1, it is 1 standard deviation above the mean
Step-by-step explanation:
i dont know if i am correct tho, please like if i am correct
Determine whether each relation is a function.
Answer:
no
Step-by-step explanation:
no
one input (x) has 2 outputs (y)
the input 2 has 2 outputs 1 and 4
this does not pass the vertical line test
therefore it is not a function
I need help solving this math problem. The teacher wants us to fill in three things using this math equation: 2x - 3√x + 1 = 0
(1) u=_
(2) u^2=_
(3) _u^2+_u+1=0
The teacher wants us to accomplish this using the U-Substitution method.
I'm not sure for my awnser but I thing 30
100 POINTS ANSWER ASAP
George's living room is a square that is 33 ft long on each side. He knows the diagonal of the ceiling from corner to corner must be longer than 33 ft.
(a) He thinks that because a square cut in half forms a special right triangle with the diagonal as the hypotense, so he multiples the side length by two to get 66 feet.
What is George's mistake?
(b) What is the correct length of the diagonal of George's ceiling using the correct special right triangle shortcut? (give exact answer, do not round)
(c) Use either the pythagorean theorem OR the correct trigonometry ratios to solve for the length of the diagonal (round to the nearest tenth of a foot)
Make sure to show all your work.
Answer:
47
Step-by-step explanation:
a)
a^2 + b^2 = c^2
33^2+33^2=c^2
2178=c^2
c=(nearest is 47)
b)
If you cut the square in half diagonally, it forms two right triangles with angle measures 90-45-45. You can use sin (opposite over hypotenuse) to find the length of the hypotenuse. sin (45) would be 33/(hypotenuse length). From a trig chart, you can find that sin (45) is 1/sqrt(2), meaning that 33/x = 1/sqrt(2). This means that x=33sqrt(2), which is around 47.
some one help me solve this asap pls and thx!!
Answer:
x = 14
Step-by-step explanation:
Knowing that this figure is a vertical angle.
Define vertical angles ⇒ a pair of opposite angles formed by intersecting lines
Thus, if the left side = 122
then the other side must equal 122
The equation is:
8x + 10 = 122
Subtract 10 from both sides
8x + 10 - 10 = 122 -10
8x = 122
Divide both sides by the same factor
8x/8 = 122/8
Simplify
x = 14
Thus, x = 14.
Kavinsky
Worth 100 points if answered: 2 PARTS!
Answer: The answer is 18 bread pieces
Step-by-step explanation:
SECOND ONE he will need 9 loafs of bread because 108 divided by 12 equals 9 so he will ned 9 loafs
Write an equation in slope-intercept form of the line shown.
An equation is
Answer:
y = -x - 4
hope this helped :)
6) Molly invests $7,747 in a retirement
account with a fixed annual interest rate
compounded 2 times per year. After 16
years, the balance reaches $31,685.08.
What is the interest rate of the account?
Answer:
R = 9% per year
Step-by-step explanation:
Use ABC to find the value of tan B 41/9 40/9 41/40 9/41
Answer:
tanB =40/9
Step-by-step explanation:
tan B = opposite/adjacent
where the opposite is 40 and the adjacent is 9
therefore, tanB =40/9
A car is purchased for 1200. Each year it loses 25% of its value. After how many years will the car be worth 2800 or less?
Answer:
5.06 years
Step-by-step explanation:
It is already worth less than 2800
perhaps you meant the purchase price was 12 000
2800 = 12 000 ( .75)^n
n = 5.06 years it will = 2800
One positive integer is 5 less than another. The
product of the two integers is 14. What are the
integers?
Answer:
one is 2 and another is 7
Step-by-step explanation:
let n be the positive integer and n' be the greater integer.
Given condition
n+5=n' ......eqn i
n×n'=14
n(n+5)=14. [from equation i]
n²+5n-14=0
n²+7n-2n-14=0
(n-2)(n+7)=0
either. or
n=2. n=-7(impossible)
therefore n=2 and hence n'=n+5=7.
A rectangular dance floor has an area of 96 square feet and a length of 8 feet. What is the width of the dance floor?
Answer:
The answer is 12ft
Step-by-step explanation:
96/8 = 12
Area = length x width
henry had charged 847 dollars to his credit card. the cost of his next purchase caused him to exceed his credit limit of 1000
Answer:
The purchase is greater than $153
Step-by-step explanation:
A triangle has angle measurements of 63°, 38°, and 79°. What kind of triangle is it?
Mia's new puppy weighed 3 1/5 pounds
at 4 weeks old. At 16 weeks old, the
puppy weighed 9 1/7 pounds. By what
factor did the puppy's weight increase
during that period?
Answer:By a factor of 2 6/7.
Step-by-step explanation:
That would be 9 1/7 divided by 3 1/5
= 64/7 / 16/5 Invert the dividing fraction:
= 64/7 * 5/16
= 4/7 * 5
= 20/7
= 2 6/7.
Step-by-step explanation:
NO LINKS!!! Please help me with this graph problem
Answer + Step-by-step explanation:
let x be the age of Kevin
y be the age of his mother
a) We can convert the statement “the sum of their ages is 61” into the equation: x + y = 61
b) the coordinates of the intersection point are (15 , 46)
Interpretation:
The age of Kevin is 15
The age of Kevin’s mother is 46
Step-by-step explanation:
Let,
x = Kevin's agey = Kevin's mother's ageGiven that,
Kevin's age + Mother's age = 61
x + y = 61 [tex]\rightarrow[/tex] required equation for a)
[tex]\rule{150pt}{2pt}[/tex]
Now, we have two equations.
y - 3x = 1 -------(1)
y + x = 61 --------(2)
On solving them (using the substitution method),
[tex]\left. \begin{cases} { y-3x = 1 } \\ { y+x=61 } \end{cases} \right.[/tex]
Take ----(1)
[tex]y-3x=1 \\y=3x+1[/tex]
Now, substitute the value of y in ----(2)
[tex]y + x = 61\\3x+1+x=61 \\4x+1=61 \\4x=60 \\x = 15[/tex]
Substitute the value of x in -----(1),
[tex]y=3\times 15+1 \\y= 45+1\\y = 46[/tex]
So,
[tex]\boxed{\bf\:x = 15, \:y = 46}[/tex]
Now, by graphing them (see the attachment), the point of intersection is O (15, 46). Hence, from this we can infer that, Kevin is 15 years old while his mother is 46 years old. [tex]\rightarrow[/tex] answer for b)
[tex]\rule{150pt}{2pt}[/tex]
SOLVE PLSSS I GIVE POINTS
Answer:
3421.19 mm²
Step-by-step explanation:
The area equation is πr²
So then you'd plug in 33 as your r because that's your radius and youd get the equation: π×33²
Which is ≈ 3421.19 mm²
Solve for x=?
a. 1.5(x+t)=9
Answer:
1.5x1.5t=9
Step-by-step explanation:
because i am learning this topic
If kaemi Had 67^2 amount of apples divided by 87% of 93 and subtract that by 1/2=K
Then what does K+98^54-89=d
D=what
Answer:
D=76^3
Step-by-step explanation:
We have to just simplify the equation then do the addition/subtraction.
4+10(5-3) = 4 +62 is what?
O 18
O 42
O 21
O45
Hey there!
4 + 10(5 - 3) = 4 + 62
4 + 10(5) + 10(-3) = 4 + 62
4 + 50 - 30 = 4 + 62
54 - 30 = 4 + 62
24 = 4 + 62
24 = 66
24 ≠ 66
OR
4 + 10(5 - 3) = 4 + 62
4 + 10(2) = 4 + 62
4 + 20 = 4 + 62
24 = 4 + 62
24 = 66
24 ≠ 66
Thus, this statement is FALSE because both of your numbers aren’t equivalent to each other.
But, let’s try this method
4 + 10(5 - 3) = 4 + 62
4 + 10(2) = 4 + 62
4 + 20 = 4 + 62
24 = 66
24 ≠ 66
66 - 24 = 42
Thus, if this is what your question is asking it would be: Option B. 42
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
A married couple and their 4 children buy tickets to a ball game. The tickets cost 25 dollars api but each of their children gets a 20 percent discount. How much, in dollars, must the family pay for A tickets?
Please help and explain this to me!! I am confused and would like to know how to solve!!
Answer:
13. C) The sum of the numerators is incorrect.
14. B) [tex]-\frac{5}{8}+\frac{1}{8}=\frac{-5+1}{8}=\frac{-4}{8} =-\frac{1}{2}[/tex]
Step-by-step explanation:
13. The reason why it's incorrect.
When dealing with the sum of fractions, denominators must be the same. So allows us to do the sum of the numerator. The image displayed is the incorrect sum of the numerator.
14. [tex]-\frac{5}{8}+\frac{1}{8}=\frac{-5+1}{8}=\frac{-4}{8} =-\frac{1}{2}[/tex]
Is this the graph of a function?
Answer:
function
Step-by-step explanation:
this graph is a function.
why?
if we draw a vertical line on all points of the function we can see that it only intersects ONCE. Therefore, it's a function. if it intersects more than once then it will not be a function
A function f is odd and f(x)=x^2 for all x>0. Sketch the graph of of this function and then write the rule of the function as a single formula
Pls solve I put 77 points ito this
The odd function is:
f(x) = sgn(x)*x^2
And the graph can be seen at the end.
How to get the formula of the function?
An odd function has the property:
f(-x) = -f(x).
In this case, for x > 0 we have:
f(x) = x^2
Notice that if we evaluate that in a negative number, we get:
f(-2) = (-2)^2 = 2^2 = f(2)
So, this is actually even.
To transform it into an odd function, we can multiply it by the sign function:
f(x) = sgn(x)*x^2
Now, when x is negative, the outcome will be negative, so the function is odd. The graph can be seen below.
If you want to learn more about odd functions:
https://brainly.com/question/2284364
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*90 points* Pls help and give full responses pls!! Look at the graph in the pic.
A. Compare the distances relative to Columbus from which the trains begin their trip.
B. Tom claims both trains traveled at the same speed over a certain interval. Sara claims that both trains traveled at different speeds the entire time. Justify which claim is correct.
Type your answer in the space provided.
Answer:
A. Train A begins 1800 miles from Columbus while train B begins 1200 miles from Columbus
B. Train A travels at a constant rate because its graph is a linear equation. Train B does not move until 1pm, when it starts moving towards Columbus at the same speed as train A. I know that trains are traveling at the same speed at a certain interval because they have the same slope at that interval. Because the train was moving at the same speed as train A over a certain interval, Tom is correct.
Step-by-step explanation:
Which equation does NOT represent a linear function? A. y = 5 B. 4 y = 2 x − 8 C. y = x + 2 x 2 D. y = − 2 3 x − 1
BRAINLIEST +STARS FIRST RIGHT ANSWER!!
In a house, there is a vase in the shape of a cylinder. The cylinder has a diameter of 12 inches and a height of h inches.
Which equation can be used to find V, the volume of the cylinder in cubic inches?
V= π 6²h
V = π(6h)²
V = π 12²h
V = π(12h)²
Answer:
V = π 12²h because i dont know where 6² came from.
just go with either 3 or 4.
What are all possible values of x if 10x + 7 ≥ 67
[tex]~~~~10x+7\geq 67\\\\\implies 10x \geq 67 -7\\\\\implies 10x \geq 60\\\\\implies x \geq \dfrac{60}{10}\\\\\implies x \geq 6[/tex]
Enter the value of x that makes the equation 3(3x+4)=12x-15 true
Answer:
3x=27
Step-by-step explanation:
3(3x+4)=12x-15
9x+12=12x-15
-9x -9x
___________
12=3x-15
+15 +15
_________
27=3x
3x=27
Answer:
9
Step-by-step explanation:
3(3x+4)=12x-15
or,3x+4=3(4x-5)/3
or,3x+4=4x-5
or,4+5=4x-3x
or,9=x
.:x=9
Hence,
x=9