1
View NON-CALC.
Sam plays a game with a fair dice.
if he rolls a 1 or 2 he rolls again
if he rolls a 3 he wins
If he rolls a 4,5 or 6 he loses.
When he has to roll again,
if he rolls a factor of 6 he wins
If he rolls a number which is not a factor of 6 he loses,
a) Complete the tree diagram,
First roll
Second roll
Not a factor of 6
1 or 2
Factor of 6
DI
3
4,5 or 6
b) Is Sam more likely to win or lose?
You must calculate the probability he wins.
Answer:
The probability of winning directly is, as you calculated, 8/36, and the probability of losing directly is (1+2+1)/36=4/36.
For the remaining cases, you need to sum over all remaining rolls. Let p be the probability of rolling your initial roll, and q=6/36=1/6 the probability of rolling a 7. Then the probability of rolling your initial roll before rolling a 7 is p/(p+q), and the probability of rolling a 7 before rolling your initial roll is q/(p+q). Thus, taking into account the probability of initially rolling that roll, each roll that doesn't win or lose directly yields a contribution p2/(p+q) to your winning probability.
For p=5/36, that's
(536)25+636=2511⋅36,
and likewise 16/(10⋅36) and 9/(9⋅36) for p=4/36 and p=3/36, respectively. Each of those cases occurs twice (once above 7 and once below), so your overall winning probability is
836+236(2511+1610+99)=244495=12−7990≈12−0.007.
Step-by-step explanation:
Suppose you throw a 4 and let p(4) your winning probability. At your next roll you have a probability 3/36 of winning (you throw a 4), a probability 6/36 of losing (you throw a 7) and a probability 27/36 of repeating the whole process anew (you throw any other number). Then:
p(4)=336+2736p(4),so thatp(4)=13.
Repeat this reasoning for the other outcomes and then compute the total probability of winning as:
ptot=836+336p(4)+436p(5)+…
which statement is true
A. -9.6 > 8.1
B. -9.6 > -7.6
C.-6.4 < 9.9
D.-7.6 < 8.1
Answer:
I think its. u must check with calculator
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
36.1 in.
Step-by-step explanation:
1:19 , 1.9in.
1.9 * 19
which equals 36.1 in.
(HOpe This hElps:)
If correct plz give brainliest ; )
I will give brainlist
no clue
Step-by-step explanation:
...................
Solve for X
(24x – 19)
(16х + 13)
Step-by-step explanation:
24x - 19 = 16x + 13
24x = 16x + 32
8x = 32
x = 4
HRLP ME PLEASE BRO PLEASE ALL I NEED IS THE ANSWER
question (e) only please show working as well appreciate it
[tex]\text{Given that,}\\\\f(x) = 3x^2 -5x +4\\\\\\ \dfrac{f(a+h)-f(a)}{h}\\\\=\dfrac{3(a+h)^2 -5(a+h) +4 - (3a^2 -5a +4)}{h}\\\\=\dfrac{3(a^2 +2ah +h^2) -5a-5h+4-3a^2+5a-4}h\\\\=\dfrac{3a^2 +6ah +3h^2 -5a-5h-3a^2+5a}h\\\\=\dfrac{3h^2 +6ah -5h}h\\\\=\dfrac{h(3h+6a-5)}h\\\\=3h+6a-5[/tex]
Use the distributive property to write an equivalent expression.
9(w + 3x)
3. Using the number line below, list the following numbers in increasing order:
1.1, -1.9, .4, -.6
Please help me I have no idea what I'm doing :(
Answer:
x = (-b ± √b² - 4ac)/2a
Step-by-step explanation:
3x - y = 23
2x + 3y = 8
Answer: x = 11
Step-by-step explanation:
You didn't state what you needed for these problems so I'm going to assume you need to solve for X.
1st Equation:
3x - y = 23 --> y = 3x - 23
2nd Equation:
2x + 3y = 8 --> (3y = 8 - 2x)/3 = y = 8/3 - 2x/3
Set Equations = to Each other
3x - 23 = 8/3 - 2x/3 --> 3x - 2x/3 = 8/3 + 23
9x/3 - 2x/3 = 8/3 + 69/3 --> 7x/3 =77/3
7x/3 X 3/7 = 77/3 X 3/7
x = 11
If you need to solve for y as well plug the x value back into the original equation and solve.
2(4w+7)=62
Whats the answer how do I do it?
[tex]2(4w + 7) = 62[/tex]
Divide both sides by 2
[tex] \frac{2(4w + 7)}{2} = \frac{62}{2} \\ [/tex]
[tex]4w + 7 = 31[/tex]
Subtract both sides 7
[tex]4w + 7 - 7 = 31 - 7[/tex]
[tex]4w = 24[/tex]
Divide both sides by 4
[tex] \frac{4w}{4} = \frac{24}{4} \\ [/tex]
[tex]w = 6[/tex]
Answer:
w=6
Step-by-step explanation:
Step 1 : Simplifying
2(4w + 7) = 62
Step 2 : Recorder the terms :
2(7 + 4w) = 62
(7 * 2 + 4w * 2) = 62
(14 + 8w) = 62
Solving-
14 + 8w = 62
Solving for the variable 'w'
Move all terms containing w to the left side, all other terms to the right.
Add '- 14' to each side of the equation.
14 + - 14 + 8w = 62 + - 14
Combine like terms: 14 + - 14 = 0
0 + 8w = 62 + - 14
Combine like terms: 62 + - 14 = 48
8w = 48
Divide each side by '8'
W = 6
Simplifying
W = 6
Where is point E located?
(2,0)
(2,2)
(0,2)
(0,0)
Answer:
Send me a picture of the graph and I gottchu =)
Step-by-step explanation:
Answer:
I need a picture of the graph to answer that
Ms. Rowlen went Black Friday shopping and she bought a flat screen TV that originally costs $259.00. She used her super Savings Coupon of 45%, how much did Ms. Rowlen pay for the TV?
If she used a coupon of 45%, the price markdown would be 116.55. You must subtract the markdown from the original cost to discover the amount she had to spend.
259.00 - 116.55 = 142.45
So, Ms Rowlen had to spend 142.45 on the TV.
I need help with this question can someone plss help me!!
Answer:
Step-by-step explanation:
please help! What is the remainder of the polynomial 2x3+7x2+2x+9 when divided by 2x+3
Answer:
3
Step-by-step explanation:
cool
Y=-2(x+1)(x+3) convert the function into standard form
−2x^2−8x−6
Expand (−2x-2)(x+3) using the FOIL Method.−2x⋅x−2x⋅3−2x−2⋅3
"√2n-5 = 10."
Please Show Step By Step
Answer is 15√2/2. I think.
determining end behavior and intercepts to graph a polynomial function
Answer:
Step-by-step explanation:
(b). ( x , 0 )
Zero where the graph crosses the X-axis: 1
Zero where the graph touches, but does not cross the X-axis: ( - 1 )
(c). ( 0, y )
- ( 0 + 1 )²( 0 - 1 ) = 1
There are 4 Year 11 pupils in a football club, out of a total of 29 pupils.
Write this proportion as a percentage.
Give your answer correct to 1 decimal place when appropriate.
Answer:
14%
Step-by-step explanation:
So if we have 4 Year 11 pupils out of a total of 29 pupils at a football club, the fraction for that would be 4/29, if we convert 4/29 into a decimal number we get 0.13793103448, so we round this number up to the nearest 1 decimal place, and that would be 0.14 which equals 14%. Hope this helps.
Does anyone know the answer to this the work is not needed unless you would like but Please please please answer :)
Write an inequality that represents the graph.
Answer:
y>1/2x+2
Step-by-step explanation:
-3(8+j)=-16+5j
HELP ASAP NEED THIS DONE TONIGHT BEFORE MIDNIGHT
Answer:
j = -1
Step-by-step explanation:
Eliminate parentheses:
-24 -3j = -16 +5j
Add 3j+16
-8 = 8j
Divide by the coefficient of j.
-1 = j
[tex]\rm⇢ \: \: - 3(8 + j) = - 16 + 5j[/tex]
[tex]\rm⇢ \: \: - 24 - 3j = - 16 + 5j[/tex]
[tex]\rm⇢ \: \: 5j + 3j = - 24 + 16[/tex]
[tex]\rm⇢ \: \: 8j = - 8[/tex]
[tex]\rm⇢ \: \: j = - 1[/tex]
I need help in math homework
The circumference of a circle is 12.56 feet. What is the circle's area?
[tex]\huge \sf༆ Answer ༄[/tex]
As we know, Circumference of the circle can be expressed as :
[tex] \large \boxed{ \: \: \: \: \: \sf2\pi r \: \: \: \: \: }[/tex]
where, r is the radius of the circle, now equate the expression with the given Circumference to find the Radius.
[tex] \sf2\pi r = 12.56[/tex][tex] \sf \: r = \dfrac{12.56}{2\pi} [/tex][tex] \sf \: r = \dfrac{12.56}{2 \times 3.14} [/tex][tex] \sf \: r = \dfrac{12.56}{6.28} [/tex][tex] \sf \: r = 2 \: \: ft[/tex]Therefore, it's radius is 2 feet.
Now, let's calculate its area using the formula ~
[tex] \large \boxed{ \: \: \: \: \: \: \sf \pi {r}^{2} \: \: \: \: \: \: }[/tex]
plug the value of r (radius) as 2.
[tex] \sf3.14 \times {2}^{2} [/tex][tex] \sf3.14 \times 4[/tex][tex] \sf12.96 \: \: ft {}^{2} [/tex]Area of circle is 12.96 ft²
-2(x - 3.5) = -2
First step:
Work for first step:
Urgent!!
Second Step:
Work for second step
Value of x:
0.000025 in scientific notation
Answer:
2.5 × [tex]10^{-5}[/tex]
Step-by-step explanation:
I hope this helps!!
What is the remainder when 3 is
synthetically divided into the polynomial -2x2 + 7x - 9?
A. -6
B. -4
C. 2
D. 0
The remainder when 3 is synthetically divided into the given polynomial is; Choice A; -6.
What is the remainder when 3 is synthetically divided into the polynomial?It follows from the task content that the remainder when 3 is synthetically divided into the polynomial is to be determined.
On this note, it follows that the expression evaluation at x = 3 represents the required remainder.
Therefore, we have;
-2 (3)² + 7 (3) - 9
= -18 + 21 - 9
= -27 + 21
= -6
Ultimately, the required remainder when 3 is synthetically divided into the polynomial is; -6.
Therefore, the correct answer choice is; Choice A; -6.
Read more on synthetic division of Polynomials;
https://brainly.com/question/7066192
#SPJ1
question in the picture, please answer!! 50 points!
Answer:
First of all its 25 points. Second of all the answer is B.
Step-by-step explanation:
Find the value of x to the nearest tenth. Show all
the work
Answer:
x is 15.0
Step-by-step explanation:
We can use pythagorus theorum to find the missing side of the triangle.
a² = b² + c²
a² is the longest side of the triangle, so a= 8.
b² (or you can even take c²) is one of the two sides, so b= 3
We have to find c². So make c² the subject of the equation.
c² = a² - b²
c² = 8² - 3²
c² = 64 - 8
c² = 56
∴ c = [tex]\sqrt{56}[/tex] = 7.48 (in 2 decimal place / 3 significant figures)
Now we can assume that c is half of x.
So x = 7.48 + 7.48 = 14.96
∴ x = 15.0 (to the nearest tenth).