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)+…
There are blue, red and white counters in a bag in the ratio 16 3 2 There are 112 more blue counters than white counters. How many white counters are there?
We will have 16 white counters in the bag.
Given that there are blue, red, and white counters in a bag in the ratio 16:3:2, the total number of balls will be:
Total = 16 + 3 + 2Total = 21If there are 112 more blue counters than white counters, then;
number of blues = number of white + 112
16x = 2x + 112
14x = 112
x = 8
Number of white counters = 2x = 2(8) = 16
Therefore we will have 16 white counters in the bag.
Learn more on ratios here: https://brainly.com/question/2914376
Bub buys a t - shirt for $7.45. He pays with a $20 bill . How much change will he get
Answer:
12.55
Step-by-step explanation:
34x 10% discount. What the absolute FLIP
is the answer.
Answer:
You would pay $30.6, and the discount would be $3.4
Step-by-step explanation:
Because it is a 10% discount, you will only have to pay 90%. So: 0.9*34=30.6
Another way to solve it would be to calculate 10%, which would be 3.4, so 34-3.4=30.6
SHOW WORK PLS.
y = x ^ 2 - x - 11
y = - x - 7
solve by substitution!
Please help in this!
Step-by-step explanation:
Correct option is C)
41−
21+
19−
9
=
41−
21+
19−3
=
41−
21+
16
=
41−
21+4
=
41−
25
=
41−5
=
36
=6
[tex] \sqrt{41 - \sqrt{21 + \sqrt{19 - \sqrt{9} } } } \\ = \sqrt{41 - \sqrt{21 + \sqrt{19 - 3} } } \\ = \sqrt{41 - \sqrt{21 + \sqrt{16} } } \\ = \sqrt{41 - \sqrt{21 + 4 } } \\ = \sqrt{41 - \sqrt{25} } \\ = \sqrt{41 - 5} \\ = \sqrt{36} \\ = 6[/tex]
Answer:
a) 6
Hope you could get an idea from here.
Doubt clarification - use comment section.
A school bookstore has the following items for sale.
A sign that shows that a notebook costs 2 dollars and 89 cents, a pencil costs 79 cents, and a folder costs 1 dollar and 35 cents.
Part A
How much will Luke pay for 4 notebooks? Enter your answer in the box.
$
11.56
Part B
Traci uses partial products to find the cost of 14 pencils.
A piece of paper has the following text writte on it. 14 pencils at 79 cents each. 10 times 0.7 equals 7. 10 times 0.9 equals 9. 4 times 0.7 equals 2.8. 4 times 0.9 equals 3.6. 7 dollars plus 9 dollars plus 2 dollars and 80 cents plus 3 dollars and 60 cents equals 22 dollars and 40 cents.
Which explains whether or not Traci’s partial products are correct?
Traci's partial products are not correct. She should have multiplied 10 × 0.09 and 4 × 0.09. The actual cost is $11.06.
Traci's partial products are not correct. She should have multiplied 10 × 0.07 and 4 × 0.07. The actual cost is $13.58.
Traci's partial products are not correct. She should have multiplied 4 × 0.07 and 4 × 0.09. The actual cost is $16.64.
Traci's partial products are correct. The actual cost is $22.40.
Please help me..........
Answer:
A. Angle E = 30° and angle D = 60°
Step-by-step explanation:
tan(E) = Opposite/Adjacent
tan(E) = 5/8.66
E = tan^-1(5/8.66)
E = 30°
There's 180° in a triangle, and this is a right triangle.
30 + 90 + x = 180
120 + x = 180
x = 180 - 120
x = 60
D = 60°
Which equation is NOT a linear function?
y = x - 2
y = 2x
y= x to the 2nd power
y=x+2
Answer:
the 3rd one is not linear
y= x to the 2nd power
Determine which have two variables that represent a proportional relationship. Explain your reasoning
Answer:
Step-by-step explanation:
Ok, so i cant really awnser all the questions on that page but a very important thing to know is that it is proportinal if the layout is y=mx. the m is usually replaced with something else though. So for that first question, its proportianal. Try your best to turn those story problems into equations and then see if it matches the y = mx equation if not, its not
Question
Write an equation of the line passing through the point A(8, 2) that is perpendicular to the line y = 4x−7.
Answer:
y = m x + b equation of a straight line
m m' = -1 condition for perpendicular lines
If y = 4 x - 7 then m = 4 so m' = -.25
Y = -.25 X + A we need to find A
A = Y + .25 * 8 = 2 + 2 = 4
Y = -.25 X + 4
Check:
2 = -.25 * 8 + 4 = -2 + 4 = 2
estimate the area of the following irregular shapes
will give brainliest.
Answer: You just need to count the shaded squares, and if half of the square is shaded, it counts as 1. Therefore, the area is 42 square units.
If f(x) = â’2 8, what is f(â’1. 8)? 4 6 10 12.
Answer:
f(x) = [x] - 2 + 8
[x] is the notation for 'greatest integer function'
f(-1.8) = [-1.8] - 2 + 8 = -2 -2 + 8 = 4
The answer is 4
Step-by-step explanation:
The value of the function f(x) = [x] - 2 + 8 when x = -1.8 is 12
Given the function f(x) =[x] - 2 + 8, we need to find f(-1.8)
To get the value of f(-1.8), we will simply substitute x = -1.8 into the function to have:
f(-1.8) = -1.8 - 2 + 8
f(-1.8) = -3.8 + 8
f(-1.8) = 11.8
Since x is in a square bracket, we will round the value up to the nearest whole number, hence;
f(-1.8) = 12
Therefore the value of the function f(x) = [x] - 2 + 8 when x = -1.8 is 12
Learn more on functions here; https://brainly.com/question/10439235
21. Here are the ingredients for raspberry ripple ice cream.
250g raspberries
225g caster sugar
2 large eggs
4 large egg yolks
600ml double cream
A mother has 5 litres of cream to make ice cream for a party. Sugar comes in 1kg bags.
How many bags of sugar will be needed?
Answer:
10 bags for 5 litres of cream of ice cream.
2 bags of sugar will be needed.
What are comparing quantities?Comparing quantities is the qualitative relation between two quantities which reflects the relative size of both the quantities.
here, we have,
It is given that,
600ml of cream requires = 225g of sugar
⇒ 1 ml of cream requires = 225/600g of sugar
⇒ 5000ml of cream requires = 225/600 * 5000g of sugar
= 1875g
=1.875 kg
Hence we see that , Sugar comes in 1kg bags.
Similarly, 1.875kg of sugar = 1kg bag + 0.875kg bag
⇒ 2 bags of sugar is needed.
Therefore, 2 bags of sugar will be needed.
To learn more about Comparing quantities :
brainly.com/question/1572596
#SPJ2
[tex]8a⁴ × (9a)⁴ [/tex]
find the value of it
8a⁴ × (9a)⁴
Hope you could get an idea from here.
Doubt clarification - use comment section.
The perimeter of a rectangle is 18 inch. The length is three inches more than width. What is length?
Answer:
6 inches.
Step-by-step explanation:
If the width is x inches then the length is x + 3.
S0
Perimeter = 2x + 2(x +3)
18 = 2x + 2x + 6
4x = 18 - 6 = 12
x = 3.
So the length = 6 inches.
Perimetre = 18 inch
Let the width be x
length = x+3
Perimetre of rectangle = 2(length+width)
18 = 2[(x+3)+x]
18 = 2(2x+3)
18 = 4x+6
4x = 18 - 6
4x = 12
•°• x = 12/4 = 3
Length = x+3 = 3+3 = 6
•°• The length of rectangle is 6 inch.
4➗64
4 divided by 64
Answer:
The answer for your problem will be 0.0625
write f(2)=3 in coordinate
form (x,y)
Answer:
Coordinate form is [tex](x,y)=(2,3)[/tex]
Step-by-step explanation:
Usually the form is
[tex]f(x)=y[/tex]
Here
We have [tex]f(2)=3[/tex]
Hence [tex](x,y)=(2,3)[/tex]
Please help.
I) Determine the remainder when f(x)= 2x³+bx²+2x+5 is divided by x+1.
If the remainder when f(x) is divided by (x-2) is equal to the remainder in I) calculate the value of b.
Here is the remainder for both. No the remainders are not equal.
What is the perimeter of â–łJKL? 6 9. 5 11. 5 19.
The perimeter of the rectangle IJKL is 16units.
Since we are not given a diagram, we can assume the diagram is a rectangle IJKL with the following parameters:
Length = 3 units
Width = 5 units
The formula for finding the perimeter of a rectangle is expressed as:
P = 2(L + W)Substitute the given values to have:
P = 2(3 + 5)
P = 2(8)
P = 16 units
Hence the perimeter of the rectangle IJKL is 16units.
Note that this formula is applicable to any rectangle given.
Learn about perimeter of shapes here: https://brainly.com/question/303508
B. Does x = 5 satisfy the equation above. Explain?
C. is x =1/2 a solution of the equation above? Explain?
Answer:
B
Step-by-step explanation:
3(x +1) =3x +3
Plug it in
3(5+1)=3(5)+3
3(6)=15+3
18=18
Write the inequality that represents the solution set to the given inequality below.
|x−3|<15
Group of answer choices
12 x>−18
−12>x>18
Answer:
-12 < x < 18
Step-by-step explanation:
x-3 < 15
x < 18
and
-x + 3 < 15
-x < 12
x > -12
Plzzzz help meee plzzzzzzz
Answer:
the answer is d
Step-by-step explanation:
Dan made 85% of his free throws. If he took 45 shots how many did he make?
Answer:
38
Step-by-step explanation:
85%=.85
So 45 × .85 = 38.25
38 shots he made.
Hope this helps
Work Shown:
85% = 85/100 = 0.85
85% of 45 = 0.85*45 = 38.25
Rounding to the nearest whole number, we get the result 38
As a check, 38/45 = 0.8444 approximately which converts to 84.44% and that's fairly close to 85%. If we tried 39, then 39/45 = 0.8667 = 86.67% which is a bit too high.
which option has the greater slope
A.y=3x+2
B the picture below
I REALLY NEED HELP ON THIS QUESTION I WILL MARK YOU BEAINLIEST!!!!
Answer:
A. Y=3x+2
Step-by-step explanation:
Y=mx+c
m - slope coefficient of x
and so you can easily find the slope if you are asked directly like this seen in option A.
the picture has a value of X2=-3 , X1=3 & Y1=3 Y2= 1
m = Y2 - Y1 / X2 - X1 = 1-3/-3-3 = -2/-6 = 1/3.
as you can now see, the slope from the pic which is 1/3 is less than that of option A.
1. For each incomplete expression, indicate the number that will result in the expression
being equal to 0.
Expression
2 -
3 +
4-
5+
6-
7+
Answer
Answer:
2-2=0, 3+(-3)=0, 4-4=0, 5+(-5)=0, 6-6=0, and 7+(-7)=0
Step-by-step explanation:
i have no idea what math this is or what its looking for so please comment how to improve the answer
Help for brainliest plz
Answer:
oh uhm that is 3,4 <3
Step-by-step explanation:
In the image shown, line n is a transversal cutting parallel lines 1 and m. Angle 2= 2x+50 Angle 8= x+76. What is the measure of angle 2?
A. 102
B. 104
C.105
(there is no D btw :))
what is the equation of a line that passes through the points (0,0) and (5,2)
Answer:
y = 2/5x
Step-by-step explanation:
in order to get the y-intercept (b) , the value of x has to be zero. we already have the y-intercept which is zero. so far, the equation looks like this:
y = mx + 0
in order to find the slope, we'll do y2-y1 / x2 - x1:
2-0
5-0
m is 2/5, so the answer is:
y = 2/5x
What is the slope of the following line?
Answer:
1/2
Step-by-step explanation:
becase 1(0,0) 2(2,1) = 1/2
Please help with my math! I need the answer quick! :( *It's been so long since I've done the math LOL*
Answer:
unit rate 1:8
Step-by-step explanation: