Answer:
a) 3.5
b) 3.33
c) [tex]6 - 6\left(\begin{array}{ccc}5\\6\end{array}\right)^{10}[/tex]
Step-by-step explanation:
As given,
A fair die is rolled 10 times
a)
Expected value of Sum of the number in 10 rolls = [tex]\frac{1}{6}(1+2+3+4+5+6) = \frac{21}{6}[/tex]
= 3.5
∴ we get
Expected value of Sum of the number in 10 rolls = 3.5
b)
Ley Y : number of multiples of 3
Y be Binomial
Y - B(n = 10, p = [tex]\frac{2}{6}[/tex] )
Now,
Expected value = E(Y) = np = 10×[tex]\frac{2}{6}[/tex] = 3.33
c)
Let m = total number of faces in a die
⇒m = 6
As die is roll 10 times
⇒n = 10
Now,
Let Y = number of different faces appears
Now,
Expected value, E(Y) = m - m[tex]\left(\begin{array}{ccc}m-1\\m\end{array}\right)^{n}[/tex]
= [tex]6 - 6\left(\begin{array}{ccc}6-1\\6\end{array}\right)^{10} = 6 - 6\left(\begin{array}{ccc}5\\6\end{array}\right)^{10}[/tex]
In this exercise we have to use probability knowledge to calculate the times the numbers of a roll, in this way we have to:
a) [tex]3.5[/tex]
b) [tex]3.33[/tex]
c) [tex]6-6\left[\begin{array}{cc}5\\6\2\end{array}\right] ^{10}[/tex]
Given that a fair die is rolled 10 times:
a) Expected value of Sum of the number in 10 rolls :
[tex]\frac{1}{6} (1+2+3+4+5+6)= \frac{21}{6} = 3.5[/tex]
b) Using the formula of the binomial that is represented by:
[tex]Y - B(n = 10, p = \frac{2}{6})[/tex]
Expected value: [tex]E(Y) = np = (10)(\frac{2}{6} ) = 3.33[/tex]
c) Looking at the 10 times the roll does, we have that it will be. Let m = total number of faces in a die that represents m = 6, as die is roll 10 times that represents n = 10. Now, Expected value:
[tex]= E(Y) = m - m \left[\begin{array}{cc}m-1\\m\\ \end{array}\right] \\= 6-6\left[\begin{array}{cc}5\\6\2\end{array}\right] ^{10}[/tex]
See more about probability at brainly.com/question/795909
i need step by step answers pleasseeee
Systems of Equations
4x-3y=-20
-x-8y=5
Answer:
(-5, 0)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsCoordinates (x, y)Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
4x - 3y = -20
-x - 8y = 5
Step 2: Rewrite Systems
-x - 8y = 5
[Addition Property of Equality] Add 8y on both sides: -x = 8y + 5[Division Property of Equality] Divide -1 on both sides: x = -8y - 5Step 3: Redefine Systems
4x - 3y = -20
x = -8y - 5
Step 4: Solve for y
Substitution
Substitute in x: 4(-8y - 5) - 3y = -20[Distributive Property] Distribute 4: -32y - 20 - 3y = -20Combine like terms: -35y - 20 = -20[Addition Property of Equality] Add 20 on both sides: -35y = 0[Division Property of Equality] Divide -35 on both sides: y = 0Step 5: Solve for x
Define original equation: -x - 8y = 5Substitute in y: -x - 8(0) = 5Multiply: -x = 5[Division Property of Equality] Divide -1 on both sides: x = -5Answer:
x = -5
y = 0
Step-by-step explanation:
4x-3y=-20
-x-8y=5 then x = 8y-5
substitute for x
4(8y-5)-3y = -20
32y-20-3y = -20
29y = 0
y = 0
4x-0 = -20
x = -5
What is the point-slope form of a line with slope -3 that contains the point
(10, -1)?
Answer:
y + 1 = -3(x - 10)
General Formulas and Concepts:
Algebra I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Slope m = -3
Point (10, -1)
x₁ = 10y₁ = -1Step 2: Write Function
Substitute in variables into general form.
y - -1 = -3(x - 10)
y + 1 = -3(x - 10)
PLEASE HELP IM FAILING MATH
How many solutions does y=1/2x have
6) Pardeep has a rectangular sheet of paper of size 44cm x 20cm. He rolled it
along its breadth and a cylinder is formed. Find volume of the cylinder.
Answer:
[tex]V=1398.4\ cm^3[/tex]
Step-by-step explanation:
Given that,
Pardeep has a rectangular sheet of paper of size 44cm x 20cm. He rolled it along its breadth and a cylinder is formed.
When he rolled it along its breadth, 20 is equal to circumference i.e.
20 = 2πr
r is radius of base of cylinder
r = 3.18 cm
44 cm will be height of the cylinder.
The volume of the cylinder is given by :
[tex]V=\pi r^2 h\\\\V=\dfrac{22}{7}\times (3.18)^2 \times 44\\\\V=1398.4\ cm^3[/tex]
So, the volume of the cylinder is [tex]1398.4\ cm^3[/tex].
What is 1/4 squared?
Answer:1/16
Step-by-step explanation:
Pls help, because I need it desperately
Answer:
1) 13
2) is
3) s/13
Step-by-step explanation:
It’s one adult to 13 students. It IS proportional.
a=s/13
Please help me asap please
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
(3,12)
Step-by-step explanation:
y = 3x + 3
y = 6x -6
x = 3
y = 12
= (3,12)
Answer:
All you have to do, is find an x that if used in both equations, both equal the same y.
3 x 3 + 3 = 12
6 x 3 - 6 = 12
So, the only thing here is (3, 12)
Step-by-step explanation:
Please help asap
The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.
What is the value of x?
Enter your answer in the box.
x =
Answer:
56
Step-by-step explanation:
28x2=56
multiply 56x2=112
Add 112+124=236
Add 236+124=360
Ram obtains 40% of the marks in a paper of 200 marks. Shyam is ahead of Ram by 25% of Ram' s marks, while Bhuvan is ahead of Shyam by one month of his own marks. How many marks does Bhuvan get?
Answer:
First, we start with:
"Ram obtains 40% of the marks in a paper of 200 marks"
In this case, 200 marks represent the 100%
Then how much is the 40%?
we have the relations:
40% = X
100% = 200 marks
Now we can take the quotient of both equations:
(40%/100%) = X/200marks
(40%/100%)*200marks = X = 80 marks
So Ram obtained 80 marks.
Now we have:
"Shyam is ahead of Ram by 25% of Ram's marks"
Now the 100% is the number of marks that Ram has, this is:
100% = 80 marks
And Shyam has 25% more than that, then we have:
125% = X
Same as before, we take the quotient of both equations:
(125%/100%) = X/80 marks
1.25*80 marks = 100 marks.
Shyam has 100 marks.
The last part is (this is not written correctly, it says "one month", it should be "one-ninth")
"while Bhuvan is ahead of Shyam by one-ninth of his own marks."
if his own marks are X, we have the equation
X = 100 + (1/9)*X
X - 1/9*X = 100
X*(8/9) = 100
X = (9/8)*100 = 112.5
So Bhuvan has 112.5 marks
Use the function g () = 5x – 2 to complete the table.
-4
-7
0
23
38
How do I get the answer?
Answer:
Step-by-step explanation:
You are given the equation g(x)=5x-2. You simply take the values given and put those values into the equation.
g(-4)=5(-4)-2=-20-2=-22
g(-7)=5(-7)-2=-35-2=-37
g(0)=5(0)-2=-2
g(23)=5(23)-2=115-2=113
g(38)=5(38)-2=190-2=188
3x + 2(4x - 4) = 3
Anyone know the answer?
Answer:
x=1
Step-by-step explanation:
3x+2(4x-4) = 3
3x+8x-8 = 3
11x-8 = 3
11x = 11
x = 11/11 = 1
The solution for x in the expression 3x + 2 (4x- 4) = 3 is,
⇒ x = 1
The given expression is,
⇒ 3x + 2 (4x- 4) = 3
We can simplify by apply distributive property and combine like term,
⇒ 3x + 2 (4x- 4) = 3
Apply distributive property,
⇒ 3x + 8x - 8 = 3
Combine like term,
⇒ 11x - 8 = 3
Add 8 both side,
⇒ 11x = 3 + 8
⇒ 11x = 11
Divide by 11,
⇒ x = 11 / 11
⇒ x = 1
Therefore, The solution for x in the expression 3x + 2 (4x- 4) = 3 is,
⇒ x = 1
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ6
A house cost $185,500 in 2000. By the year 2015, the value was $132,000. What was the growth
rate as a percent for that 15-year period?
Answer:
their was no growth rate it lost 53,500 in those 15 years at a rate of about 3,566 a year
Step-by-step explanation:
The growth rate is the percentage increase and it is the increase with respect to the original thus growth rate will be 28.84%.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
As per the given,
The cost in 2000 is $185500
Cost in 2015 is $132000
Change or increase = (185500 - 132000)
% increase = change/original
% increase = (185500 - 132000)/185500 = 28.84%
Hence "The growth rate is the percentage increase and it is the increase with respect to the original thus growth rate will be 28.84%".
For more about the percentage,
brainly.com/question/13450942
#SPJ2
what is the solution: y=x and y=-x+4
Answer:
(2, 2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Coordinates (x, y)Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = x
y = -x + 4
Step 2: Solve for x
Substitution
Substitute in y: x = -x + 4[Addition Property of Equality] Add x on both sides: 2x = 4[Division Property of Equality] Divide 2 on both sides: x = 2Step 3: Solve for y
Define original equation: y = xSubstitute in x: y = 2
find the value of x
Answer:
x = 20
Step-by-step explanation:
Each side would be 60. 60/3 would be 20. So x = 20
Answer:
x = 20
Step-by-step explanation:
Looking at the image you've posted here. We can see this triangle is equilateral. That also means 3x is 60°, as are the other two angles. All you really have to do is dividing both sides of the equation by 3 to get x to equal 20.
please help me out i cannot fail this
Answer:
183.41
Step-by-step explanation:
pay 251.57
16% 40.25
3.64 9.16
6.2 15.60
1.45 3.65
I hope this is right
Thereeeeeeeeeeeeeeeeeeeeeeee
Answer:
1. 0.5%
2. 3%
3. 20%
4. 250%
5. 500%
hope this helps have a blessed day :)
Julie has put a map of the United States on a coordinate grid.
Phoenix is at approximately (–2.4, -4.2) and Atlanta is at
approximately (2.9,-4.2). If each unit on the grid represents
300 miles, what is the approximate distance between Phoenix
and Atlanta?
Julie has put a map of the United States on a coordinate grid.
Phoenix is at approximately (–2.4, -4.2) and Atlanta is at
approximately (2.9,-4.2).
help plz plz plz plz i need this
Answer:
n-5
Step-by-step explanation:
What is the sun of 15 5/9 + 10/12?
a. 16 17/18
b. 15 7/10
c. 16 7/18
d. 188/18
Answer:
C. 16 7/18
Step-by-step explanation:
First find the least common denominator for the fractions: 36
Change the fractions: 15 20/36 + 30/36
Add the fractions: 20/36+30/36=50/36
Turn into proper fraction: 16 14/36
Simplify: 16 7/18
Select the correct answer. Which equation is a step in solving the equation |5 − 3x| + 2 = 19?
Answer:
Step-by-step explanation:
If twelve inches correspond to 30.48 centimeters, how many centimeters are there in thirty inches?
Answer:
76.2 cm
Step-by-step explanation:
Do 30.48 / 12 to find the amount of centimeters per inch. 30.48 / 12 = 2.54
So, for ever inch, there are 2.54 cm. Now to find the amount of centimeters in thirty inches, do 2.54 x 30 = 76.2.
32:3
What is 32 divided by 3
Answer:
11 1\3
Step-by-step explanation:
32÷3=11.33333333333333333333
Factor the expression-28x-14
Answer:
-14(2x+1)
Step-by-step explanation:
Factor out the GCF, which is 14.
Answer:
-14(2x+1)
Step-by-step explanation:
this is a question on my math test and i got it write
bob wants to sub 3x + y = 13 into 4x +3y = 6 he needs to do what to get this
Answer:
x = 6.6, y = -6.8
Step-by-step explanation:
Subtract 3 x from both sides of the equation.
y = 13 - 3x
4x + 3y = 6
Replace all occurrences of y with 13 − 3 x in each equation.
-5x + 39 = 6
y = 13 - 3x
Solve for x in the first equation.
x = [tex]\frac{33}{5}[/tex] or 6.6
Replace all occurrences of x with 6.6 in each equation.
y = [tex]-\frac{34}{5}[/tex] or - 6.8
hope this helps, good luck :)
The time, t, for am ice cube to melt. is inversely proportional to the temperature, T, of the water the ice cube is placed. If it takes an ice cube 2 minutes to melt in 75f water, how long will it take an ice cube of the same size to melt in 80f water?
Answer:
15/8 minutes
Step-by-step explanation:
The inverse relationship implies the following equation.
[tex]t=\frac{k}{T}[/tex]
where k is a constant.
You are given a t and T that go together, so
[tex]2=\frac{k}{75}[/tex]
This implies that k=150. Now you know that the relationship is
[tex]t=\frac{150}{T}[/tex]
Now substitute 80 for T to get the answer.
[tex]t=\frac{150}{80}=\frac{15}{8}[/tex][tex]t=\frac{150}{80}=\frac{15}{8}[/tex]
minutes.
It takes an ice cube of the same size to melt in 80f water 15/8 minutes.
We have given,
The time t for am ice cube to melt. is inversely proportional to the
temperature T of the water in the ice cube is placed.
What is the inverse relationship?The inverse relationship implies the following equation.
[tex]t=\frac{k}{T}[/tex]
Where k is a constant.
You have given a t and T that go together, so
[tex]2=\frac{k}{75}[/tex]
This implies that k=150.
Now you know that the relationship is
[tex]t=\frac{150}{T}[/tex]
Now substitute 80 for T to get the answer.
[tex]t=\frac{150}{80} =\frac{15}{8}[/tex]
It takes an ice cube of the same size to melt in 80f water 15/8 minutes.
To learn more about the temperature visit:
https://brainly.com/question/24746268
A brick has a mass of 18.4 kg and a volume of 923cm squared. Evaluate the density of the brick in g/cm cubed round?
18.4kg = 1840g
D = m / v
1840 / 923 = 1.993
Kayla wants to prove the Pythagorean theorem: if a triangle is a right triangle, then the area of the square whose side is hypotenuse is equal to the sum of the areas of the squares on the other two sides.
Answer:
in ABC,if<B=90,then AB^2+BC^2=AC^2
Step-by-step explanation:
the third option
i did that khan assignment
The appropriate rephrase statement to proof the Pythagorean theorem is
In ΔABC , if ∠B = 90°, then AB² + BC² = AC²
Pythagoras's theorem is used to calculate the sides of a right angle triangle. The formula is represented as follows
c² = a² + b²where
c = hypotenuse
a and b are either adjacent or opposite sides of the triangle.
A right angle triangle is a triangle that has one angle as 90°. Therefore, from the triangle below, the appropriate rephrase statement to proof Pythagoras theorem is as follows:
In ΔABC , if ∠B = 90°, then AB² + BC² = AC²read more: https://brainly.com/question/15546331?referrer=searchResults
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer: It depends on how many times Tyrell wants to reserve the court. Sorry but there's not enough info to solve rn
Hope this helps! <3