Answer:
[tex]E(X_n)=\frac{2(n-1)}{27}[/tex]
[tex]E(y)=\frac{14}{9}[/tex]
Step-by-step explanation:
From the question we are told that:
Sample size n=9
Number of Green [tex]g=4[/tex]
Number of yellow [tex]y=4[/tex]
Number of white [tex]w=4[/tex]
Probability of Green Followed by yellow P(GY) ball
[tex]P(GY)=\frac{4}{9}*\frac{3}{9}[/tex]
[tex]P(GY)=\frac{4}{27}[/tex]
Generally the equations for when n is even is mathematically given by
[tex]Probability of success P(S)=\frac{4}{27}[/tex]
[tex]Probability of Failure P(F)=\frac{27-4}{27}[/tex]
[tex]Probability of Failure P(F)=\frac{23}{27}[/tex]
Therefore
[tex]E(X_n)=\frac{n}{2}*P[/tex]
[tex]E(X_n)=\frac{n}{2}*\frac{4}{27}[/tex]
[tex]E(X_n)=\frac{2n}{27}[/tex]
Generally the equations for when n is odd is mathematically given by
[tex]\frac{n-1}{2}[/tex]
[tex]E(X_n)=\frac{n-1}{2}*\frac{4}{27}[/tex]
[tex]E(X_n)=\frac{2(n-1)}{27}[/tex]
b)
Probability of drawing white ball
[tex]P(w)=\frac{2}{9}[/tex]
Therefore
[tex]E(w)=\frac{1}{p}[/tex]
[tex]E(w)=\frac{1}{\frac{2}{9}}[/tex]
[tex]E(w)=\frac{9}{2}[/tex]
Therefore
[tex]E(y)=[E(w)-1]\frac{4}{9}[/tex]
[tex]E(y)=[\frac{9}{2}-1]\frac{4}{9}[/tex]
[tex]E(y)=\frac{14}{9}[/tex]
In, z = 4 cm, x=8cm, and m
Answer:
what do u want us to do pls be more clear!
what is the solution to the system of equations
Answer:
O A. [tex](-1,2)[/tex]
Step-by-step explanation:
[tex]y=x+3[/tex]
[tex]2=-1+3[/tex]
[tex]2=2[/tex]
[tex]y=-x+1[/tex]
[tex]2=-1+1[/tex] Since two -x's are being used, x becomes positive!
2 = 1 + 1
2 = 2
Solution: (-1, 2)
Express y in terms of x
Answer:
see explanation
Step-by-step explanation:
(a)
Given y is inversely proportional to x² then the equation relating them is
y = [tex]\frac{k\\}{x^2}[/tex] ← k is the constant of variation
To find k use any ordered pair from the table.
Using (1, 4 ) , then
4 = [tex]\frac{k}{1^2}[/tex] = [tex]\frac{k}{1}[/tex] ( multiply both sides by 1
4 = k
y = [tex]\frac{4}{x^2}[/tex] ← equation of variation
(b)
When y = 25 , then
25 = [tex]\frac{4}{x^2}[/tex] ( multiply both sides by x² )
25x² = 4 ( divide both sides by 25 )
x² = [tex]\frac{4}{25}[/tex] ( take the square root of both sides )
x = ± [tex]\sqrt{\frac{4}{25} }[/tex] = ± [tex]\frac{2}{5}[/tex]
Since x > 0 then x = [tex]\frac{2}{5}[/tex]
A is the point with coordinates (x, 2y).
B is the point with coordinates (3x, 4y).
The midpoint of AB has coordinates (-4, 15).
Work out the values of x and y.
Answer:
x= -2 , y=5
Step-by-step explanation:
(x+3x)/2 = -4
4x/2 = -4
4x= -8
x = -2
(2y+4y)/2=15
6y/2=15
6y=30
y=5
pls help with both of them
will give brainliest and everything
hey there, please help me. thank you
Answer:
S.S.S
Step-by-step explanation:
When three sides of a triangle are respectively equal to three corresponding sides of another triangle, they are said to be congruent .
hope it is helpful to you
BRAINLIEST IF CORRECT
Generating random samples.
Answer:
1st and 3rd answer
Step-by-step explanation:
1st answer - Having a sample that is not random does not allow you to generalize the results of the experiment/study to the population because it is not representative of the population in the first place.
3rd answer - The definition of a random sample is that each member of the population has an equal chance of being selected.
Nine split into four groups is two, with a ___ of one.
solve it : -
[tex] \sqrt{6 \times 24} [/tex]
_______
Answer:
12
Step-by-step explanation:
sqrt(6*24)
sqrt(144)
sqrt(12*12)
12
Answer:
12
Step-by-step explanation:
6×24=144
Sq. Root of 144=12
a bucket contains 3 1/2 gallon of water. If Marie adds 5 gallons more, how many gallons of water will there be in all?
Answer:
8 1/2
because 3 + 5= 8+ 1/2= 8 1/2
please help!!!!!!!!!!!
Answer:
Q(1,5)
R(3,-1)
S(0,0)
T(-2,3)
Please give brainiest?
х
4
16
Find the exact value of x.
=
Answer:
The value of x is 8
Step-by-step explanation:
Pls help if you only know the correct answer! Thanks! :)
Answer:
A. -3/5 B. 1/5. C. 0.8.
Step-by-step explanation:
Since A is on the left side of 0, it will be negative, in which -3/5 is the only negative answer on there, so A= -3/5. Since B is on the right side of the 0 it's positive, and it is equal to 1/5 which gets you to 0.20, which will be the value of each line since 1 divided by 5 is equal to 0.20. 0.8 is also known as 0.80 so C will be next to the 1.
how much square units of 50 units
Answer:
7.07106781187
Step-by-step explanation:
if its just asking [tex]\sqrt50[/tex]
:D
602.88 rounded to 2 decimal place is ?
Answer:
it will be 603.00
it will. e counted from the right to the left
Andrea played dominos nonstop for 52 minutes in Little Havana. If each match lasted 13 minutes, how many matches did she play in that time?
Answer:
4 Matches
Step-by-step explanation:
According To the Question,
Given, Andrea played dominos nonstop for 52 minutes.And, each match lasted 13 minutes .Now, The Total Matches she plays in that time = [tex]\frac{(Total Time Played)}{(Time On Each Match)}[/tex]
Thus, Total Matches = 52 / 13 ⇔ 4 Matches
If someone were to have 300 feet of fencing, what is the maximum area they can enclose?
Answer:
I think it would be 5,625ft^2?
Step-by-step explanation:
300÷4=75
75×75=5,625
To solve for the missing length, which operation should you perform?
Answer:
? = 15 yards
Step-by-step explanation:
h² + b² = ?²
9² + 12² = ?²
81 + 144
225
√225 = 15
Answer:
Pythagorean theorem
Step-by-step explanation:
You should use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
9^2+ 12^2 = ?^2
81 +144 = ?^2
225 = ?^2
Take the square root of each side
sqrt(225) = sqrt(?^2)
15 =?
Use the question below to answer the conditional probability question.
plz help I really don’t understand this
Answer:
[tex]OP=3.6[/tex]
Step-by-step explanation:
Since OP is parallel to LM, the two triangles are similar, because they share all three angles. By definition, the corresponding sides of a similar polygon must be in a constant proportion.
Thus, we have:
[tex]\frac{6}{6+4}=\frac{OP}{6},\\10\cdot OP=36,\\OP=\frac{36}{10}=\boxed{3.6}[/tex]
Find the volume of the cone.
Either enter an exact answer in terms of π or use 3.14 for π
Answer:
volume of a cone formula = V=πr²h/
3
V=3.14(5)²3/3
V≈78.54
Which is the graph of the linear inequality 1/2x - 2y > -6?
Answer: almost there
Step-by-step explanation: bring the 2 up
URGENT PLZ HELP: Graph y = tanx for -pi/4 ≤ x ≤ x/4.
What is the range?
work out the average speed of 40 km in 2.5 hours
Answer:
19.20
Step-by-step explanation: used
a calc
can someone help me understand this, please? For some reason my answer is correct but I need to understand how did I found the correct answer
Answer with step-by-step explanation:
The way the question is worded, this actually shouldn't be correct. The correct answer should be [tex]3:4[/tex].
Because the trapezoids are similar, we can find the ratio of their perimeters by actually just finding the ratio of their sides.
Why?
By definition, the corresponding sides of a polygon are in a constant proportion. The perimeter is simply the sum of all sides of the polygon. Since we're just adding the sides, the proportion will still be maintained.
Therefore, we'll just need to ratio of their corresponding sides. The only two corresponding sides that are marked are [tex]\overline{RS}[/tex] and [tex]\overline{AB}[/tex].
The ratio of [tex]\overline{RS}:\overline{AB}[/tex] is [tex]18:24\implies \boxed{3:4}[/tex].
The reason why it ideally should be [tex]3:4[/tex] and not [tex]4:3[/tex] is because the question states [tex]RTSU\sim ABCD[/tex], which mentions [tex]RSTU[/tex] first, so our answer should follow this respective order. I believe you were marked right anyways because the specific order is not specified, but generally, you want to give your answer respectively by default.
Can anyone help with this?
What additional information is needed to prove the triangles congruent by SSS
Answer:
Angle a = Angle D
Answer:
A: Angle A Angle D
Step-by-step explanation:
Solve for x.
5(x – 10) = 30 – 15x
Answer:
x=4Step-by-step explanation:
[tex]\sf 5(x - 10) = 30 - 15x[/tex]
[tex]\sf 5x-50=30-15x[/tex]
[tex]\sf 5x-50+50=30-15x+50[/tex]
[tex]\sf 5x=-15x+80[/tex]
[tex]\sf 5x+15x=-15x+80+15x[/tex]
[tex]\sf 20x=80[/tex]
[tex]\sf \frac{20x}{20}=\frac{80}{20}[/tex]
[tex]\sf x=4[/tex]
A square has the same perimeter as a triangle. The triangle's area is 16 root 3. What is the hypotenuse of the square?
Answer:
12\sqrt{2}
Step-by-step explanation:
To get the hypotenuse, first we need to get the side length of the square
Area of the square = L²
16\sqrt{3} = L²
L = 4×3
L = 12
Using pythagiras theorem to get the hypotenuse
Hyp² = 12²+12²
Hyp² = 144+144
Hyp² = 288
Hyp = \sqrt {288}
Hyp = 12\sqrt{2}
Hence the hypotenuse of the square is 12\sqrt{2}
Mike works h hours in a week. To find his weekly pay he multiplies his hours by his pay of $30 per hour and adds $5 for his sales bonus. He's decided that he wanted to take one-fifth of his weekly pay and place it in his savings. Which simplified expression represents the amount that will go into his savings each week?
Answer:
6h + 1
Step-by-step explanation:
number of hours: h
pay per hour: 30
pay for the hours: 30h
add sales bonus: 30h + 5
1/5 of total above: (1/5)(30h + 5) = 6h + 1
Answer: 6h + 1