100 point to the first correct answer
Given the discrete random variable X: What is the probability distribution of X if X ~B(2, 5/17)?
Answers
Answer:
X ~ B(n, p)
Given: X ~ B(2, 5/17)
⇒ n = 2
⇒ p = 5/17
Binomial distribution formula:
[tex]\sf P(X = x) = nC_x (1-p)^{(n-x)}p^x[/tex]
As n = 2, calculate P(X = 0), P(X = 1) and P(X = 2):
[tex]\sf P(X = 0) = 2C0 (\frac{12}{17})^{(2-0)}(\frac{5}{17})^0=\dfrac{144}{289}}[/tex]
[tex]\sf P(X = 1) = 2C1 (\frac{12}{17})^{(2-1)}(\frac{5}{17})^1=\dfrac{120}{289}}[/tex]
[tex]\sf P(X = 2) = 2C2 (\frac{12}{17})^{(2-2)}(\frac{5}{17})^2=\dfrac{25}{289}}[/tex]
**Probability Distribution Table attached**
Related Questions
What is the area of the patio if the yard is 12 feet on each side?
How do I do this?
Answers
144 feet squared
Step-by-step explanation:Squares are 4 sided shapes that have an equal length on each side.
Area Formula
The area of a square (or rectangle) is [tex]l*w[/tex], where [tex]l[/tex] is the length and [tex]w[/tex] is the width. Due to the fact that squares have four equal sides, the formula can be rewritten as [tex]l^2[/tex].
Solving For Area
Plug the length value into the formula.
[tex]12^2=144[/tex]Then, add the units to the answer. Because the length is multiplied by itself and the original unit is feet, the units are feet squared.
Brainliest if correct
Answers
You put $125.32 at the end of each month in an investment plan that pays 2.5% interest, compounded monthly. how much will you have after 23 years? round to the nearest cent. a. $46,683.28 b. $4,564,471.88 c. $2,949.39 d. $3,832.84
Answers
After 23 years $125.32 will be matured to $46,683.28.
What is the formula for recurring investment?The formula for Recurring maturity is given by:
[tex]A=P_n\dfrac{p\times n \times(n+1)}{24}\times \dfrac{r}{100}[/tex]
Where A=matured amount
P =Principal value
n=Number of months
r=Interest rate(annual)
We have P= $125.32
n=23*12 = 276 months
r=2.5*12 =30%
Put these values in the above formula
we get A= $46,683.28
Therefore, After 23 years $125.32 will be matured to $46,683.28.
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van brought a 16 pound bag of dog food .hos dog ate 2/3 of the food. how many pounds of dog food did the dog eat
Answers
Answer:
10.66
Step-by-step explanation:
16/3 = 5.3
5.3 x 2 = 10.66
Have an amazing day!
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Which is an equation of the line containing the points (4, 6) and (6, 10) in standard form?
A. −2x+y=−2
B. 2x−y=−2
C. −2x−y=−22
D. −2x+y=−8
please show step by step
Answers
Answer:
A. −2x+y=−2
Step-by-step explanation:
Select the two values of x that are roots of this equation.
Answers
Answer:
C and D :)
Step-by-step explanation:
Answer:
c and d
Step-by-step explanation:
Can someone please help me out with this question?
Answers
Answer:
don't get mad at is i don't get this right
i think it would be D
Step-by-step explanation:
Please Help! Will Give Brainlest!
Answers
Answer:
height of tress is 20 feet
Step-by-step explanation:
because tan = perpendicular/ height
we see option only 20 feet satisfy it
Answer:
Option D :- 20 feet
Step-by-step explanation:
[tex] \sf \tan ( \theta) = \frac{height}{distance} [/tex]
[tex] \rightarrow \sf \: \tan (\theta) = \frac{20}{50} [/tex]
[tex] \sf \: height \: = 20 \: ft[/tex]
Find the area of the triangle b= 12.4 cm and h= 18 cm
Answers
Answer:
111.6 cm
Step-by-step explanation:
The area of a triangle can be calculated using the following formula:
Area = (base x height) / 2
Using this formula we can solve this problem in the following way:
We know base = 12.4, and height = 18(12.4 x 18) / 2 = 111.6Hope this helps!!
Answer:
answer 111.6 cm^2.......
i dont understand this question im very bad at maths
Answers
so it’s 2400
2400cm³
Step-by-step explanation:[tex]Volume=15\times 20\times 8[/tex][tex]=300\times 8\\ =2400cm^3[/tex]
[tex](Analyze\ the\ information\ carefully)[/tex]
I hope this helps you
:)
cual es el máximo común divisor de 72, 90 y 36?
Answers
Answer:
6
Step-by-step explanation:
6 x 6 = 36
6 x 12 = 72
6 x 15 = 90
-2 (3x -5) -2= 22 - 68
Answers
Answer:
9
Step-by-step explanation:
Answer:
i belive the awnser is 9
Step-by-step explanation:
Which of the following represents 5 + 10? Mark all that apply.
Answers
this is because 5 divided by 10 is a half, 5/10 and the simplified version is also 1/2
C and E i think
Step by step explanation:
A is 15,8
B is 0,25
C is 0,5
D is 0,4
E is 0,5
Please Help! What is the measure of the reference angle that corresponds to an angle of measure 278°
Answers
Answer:
82 degrees
Step-by-step explanation:
Reference Angle: the acute angle between the terminal arm/terminal side and the x-axis. The reference angle is always positive.
82 DEGREES
please help i am confused.
Answers
This is because C and F do not join on the shape
Evaluate each power.
a. (−7)0 b. (43)0 c. 10 d. (0.5)0
Answers
Answer: The answer is two
Step-by-step explanation:
You put the name of all the students in your class in a paper bag. There are 14 boys and 16 girls. If
you draw a name at random, what is P(girl's name)?
A: 7/15
B: 8/7
C: 8/15
D: 7/8
Answers
Nasrin invested $6000 in a bond at a yearly rate of 3%. She earned $450 in interest. How long was the money invested?
Answers
6000 x .3 = 1,800. 1800 divided by 450 = 4
The perimeter of a notebook is 28
inches. The area is 48 square inches.
What are the dimensions of the
notebook?
Answers
Area = length x width
Half the perimeter = length + width
half the perimeter = 14 inches.
Find 2 numbers when added together = 14 and when multiplied together = 48
6 + 8 = 14
6 x 8 = 48
the dimensions are 6 inches by 8 inches
please help this question is hard (25 POINTS!!)
An experiment involves rolling two dice simultaneously. The following table shows the possible outcomes using the format of (die 1,die 2).
1 2 3 4 5 6
1 (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
2 (2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
3 (3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
4 (4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
5 (5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
6 (6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
What is the probability of rolling 2 even numbers?
Enter your answer as a reduced fraction, like this: 3/14
Answers
Answer:
1/9
Step-by-step explanation:
Sum = 4: (1,3) (2,2) (3,1)
Sum = 12: (6,6)
4/36 = 1/9 or 0.111
hope that helps
What is the value of x
Answers
Answer: 37
Step-by-step explanation:
74=2x
37=x
You are trying to get X by itself. Since it's 2x usually you would multiply it but in this case, divide it by itself into both sides so 74 divide 2 equals 37. If you know the order of operations then reverse it.
I'm just confused about how the answer choices are only 108 and 18.
Answer:
[tex]\huge\boxed{\sf x = 37}[/tex]
Step-by-step explanation:
Since, vertically opposite angles are equal:
74 = 2x
Divide 2 to both sides
74 / 2 = x
37 = x
OR
x = 37
[tex]\rule[225]{225}{2}[/tex]
Three friends share 2 bags of trail mix equally.
What fraction of a bag of trail mix does each friend get?
Answers
Answer:I think that each friend would get 1.5/ 1 1/2.
Step-by-step explanation:
3 divided by 2 equals 1.5
If B (x,y)=(x-3,y+5), what is B(4,7)?
Can anyone help me please
Answers
Answer:
(B (4, 7 ) = (1, 12 )
Step-by-step explanation:
given
B (x, y ) = (x - 3, y + 5 ) , then
B (4, 7 ) = (4 - 3, 7 + 5 ) = (1, 12 )
Find the volume of a cone with a height of 3.25 centimeters and
a diameter of 2.2 centimeters.
Answers
Answer:
As per Provided Information
Height of cone h is 3.25 cm
Diameter of cone is 2.2 cm
Radius = Diameter/2Radius = 2.2/2
Radius = 1.1 cm
We have been asked to determine the volume of the cone .
Using Formulae
[tex] \boxed{\bf \:Volume_{(Cone)} = \cfrac{1}{3} \pi {r}^{2}h}[/tex]
Substituting the given value and let's solve it
[tex]\sf\longrightarrow \: Volume_{(Cone)} = \cfrac{1}{3} \times 3.14 \times {1.1}^{2} \times 3.25 \\ \\ \\ \sf\longrightarrow \: Volume_{(Cone)} = \cfrac{1}{3} \times 3.14 \times 1.21 \times 3.25 \\ \\ \\ \sf\longrightarrow \: Volume_{(Cone)} = \cfrac{1}{3} \times 3.14 \times 3.9325 \\ \\ \\ \sf\longrightarrow \: Volume_{(Cone)} = \cfrac{1}{3} \times 12.34805 \\ \\ \\ \sf\longrightarrow \: Volume_{(Cone)} = \cfrac{12.34805}{3} \\ \\ \\ \sf\longrightarrow \: Volume_{(Cone)} = 4.11 {cm}^{3} [/tex]
Therefore,
Volume of the cone is 4.11 cm³ .15. If y varies directly as x and y = 540 when x = 10, find x when y = 1080
Answers
[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\stackrel{\textit{"y" varies directly as "x"}}{y = kx}\qquad \textit{we also know that} \begin{cases} y = 540\\ x = 10 \end{cases}\implies 540=k(10) \\\\\\ \cfrac{540}{10}=k\implies 54=k~\hfill \boxed{y=54x} \\\\\\ \textit{when y = 1080, what is "x"?}\qquad 1080=540x\implies \cfrac{1080}{540}=x\implies 2=x[/tex]
The value of x when y = 1080 for the condition when its given that y varies directly as x and that y = 540 when x = 10, is found to be x = 20
Let there are two variables p and q
Then, p and q are said to be directly proportional to each other if
[tex]p = kq[/tex]
where k is some constant number called constant of proportionality.
This directly proportional relationship between p and q is written as
[tex]p \propto q[/tex] where that middle sign is the sign of proportionality.
In a directly proportional relationship, increasing one variable will increase another.
Now let m and n are two variables.
Then m and n are said to be inversely proportional to each other if
[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]
(both are equal)
where c is a constant number called constant of proportionality.
This inversely proportional relationship is denoted by
[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]
As visible, increasing one variable will decrease the other variable if both are inversely proportional.
For this case, it is specified that y varies directly as x.
That means
[tex]y \propto x\\or\\y = kx[/tex]
At x = 10, y is 540. Putting these values in the equation y = kx as they're related, we get:
[tex]540 = k \times 10\\\\\text{Dividing both the sides by 10}\\\\\dfrac{540}{10} = k\\\\k = 54[/tex]
Thus, the relationship between x and y is: y = 54x
Now, when y = 1080, we get:
[tex]1080 = 54x\\\\\text{Dividing both the sides by 54}\\\\\dfrac{1080}{54} = x\\\\x = 20[/tex]
Thus, the value of x when y = 1080 for this condition is when x = 20.
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The demand function Q and cost function C(Q) of a commodity are given by the equations \[ Q = 20 - 0{,}01P\]
C(Q)=60+6Q,
where P and Q are the price and quantity, respectively. The total revenue function (TR) in terms of P is
Answers
The total revenue of the function is the product of the quantity and the price
The total revenue in terms of P is TR = 20P - 0.01P^2
How to determine the total revenue?The demand and the cost functions are given as:
Quantity function, Q = 20 - 0.01P
Cost function, C(Q)=60+6Q
The total revenue is calculated as:
TR = Q * P
Substitute Q = 20 - 0.01P in the above equation
TR = P * [20 - 0.01P]
Evaluate the product
TR = 20P - 0.01P^2
Hence, the total revenue in terms of P is TR = 20P - 0.01P^2
Read more about total revenue at:
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Part 2. Show your work in solving the equation. Include the work to check your solution and show that your solution is extraneous. that has an extraneous solution. that does not have an extraneous solution. Part 3. Explain why the first equation has an extraneous solution and the second does not.
Answers
Extraneous solutions are the values that we get when solving equations which aren't really solutions to the equation.
What are extraneous solutions?Your information is incomplete. Therefore, an overview will be given. An extraneous solution is the root of a transformed equation which is not a root of the original equation since it was excluded from the domain of the original equation.
The reason extraneous solutions exist is simply that some operations produce extra answers, and these operations are a part of the path to solving the problem.
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Please help asap i will give brainlist!!!!
Answers
Answer:
The answer is D
Step-by-step explanation:
This is because 5π is equal to 15.7
Two marathon runners start a race at different times. Runner A stars her race first. and then Runner B starts his race 30 minutes later. Runner A runs 4 miles per hour. Runner B runs 6 miles per hour. Which equation can be used to determine the time in hours, t, that the runners will be side by side, the same distance from the starting line?
Answers
Answer:
4t = 6(t - 1/2)
Step-by-step explanation:
For Runner A, the expression is 4t since this runner's rate is 4 mph. For Runner B, the expression is 6(t - 1/2) since Runner B starts 1/2 hour after Runner A, and this runner's rate is 6 mph. Set these two expressions equal to each other.
What is zero raised to the power zero?
Answers
Answer:
1
Step-by-step explanation:
this is because anything to the power of zero is 1