Since
14 = 10 + 4 = 2×5 + 4×1 = 2×5¹ + 4×5⁰,
we have
14₁₀ = 24₅
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)+…
a class is 20% boys and 80% girls of the boys 30% wear glasses of the girls 40% wear glasses what percent of the class wears glasses??????
Answer:
38%
Step-by-step explanation:
20%-30%, 100%-30%, 20%-6%
80%-40%, 100%-40%, 5%-2%, 80%-32%
32+6=38%
Students who
ride the bus
65% of the 800 students at North High School ride the
bus. How many students ride the bus?
0 65
?
100 multiplied by
is equal to 800
H
65 multiplied by
vis equal to
0 100
800
out of
students ride the bus.
All
students
Translate to an inequality. Use the variable x.
A number is less than 15.
Answer:
that's the correct answers
Step-by-step explanation:
thanks for your
To translate the statement "A number is less than 15" into an inequality using the variable x, we write:
x < 15
This inequality indicates that the value of x is any number that is smaller than 15. In other words, x can be any real number in the open interval (-∞, 15). It represents a wide range of values from negative infinity up to, but not including, 15.
This statement is not restrictive and allows for infinite possibilities for x, as long as it is smaller than 15. The inequality x < 15 leaves ample room for a wide variety of numerical solutions.
Therefore, to translate the statement "A number is less than 15" into an inequality using the variable x, we write:
x < 15
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a local company uses 13 1/2 tons of paper in one week. It recycles about 1/3 of its waste. how many tons of paper does the company recycle in one week?
Answer:
4 1/2 tons of recycled paper
Step-by-step explanation:
13.5/3 = 4.5 or 4 1/2
Asha bought 60 fruit baskets. 25% of the fruit baskets have 12 pieces of fruit in each basket. The remaining 75% of the baskets have 15 pieces of fruits in each basket. Complete the model.
Answer:
Number of baskets with 12 pieces of fruit: 15
Number of baskets with 15 pieces of fruit: 45
Step-by-step explanation:
25% x 60 = 0.25 x 60 = 15
75% x 60 = 0.75 x 60 = 45
The complete model for the given question is;
Number of fruit baskets that contain 12 fruits = 15 baskets
Number of fruit baskets that contain 15 fruits = 45 baskets
We are told that he bought 60 fruit baskets.
Percentage of the fruit baskets that have 12 pieces of fruit = 25%
Percentage of the fruit baskets that have 15 pieces of fruit = 75%
Thus;
Number of fruit baskets that contain 12 pieces of fruit = 25% × 60 = 15 baskets
Number of fruit baskets that contain 15 pieces of fruit = 75% × 60 = 45 baskets
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Trent buys a playground slide priced at $583. If the sales tax is 5%, how much tax will
Trent pay?
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
B.
Step-by-step explanation:
You just remove 3 zeros from 10.
10 —> 1 —> 0.1 —> 0.01 :)
What is the solution to the equation? −12x=−3
Enter your answer in the box.
Answer:
The answer is 1/4 or 0.25
Step-by-step explanation:
The question is very simple. All we have to do is figure out what -12 multiplied by ______ equals -3
So we can just divide -3 by -12 to find the answer.
-3 / -12 = 0.25
So the answer is 0.25 or 1/4 in fraction form.
Hope this helps! :)
૮ ・ﻌ・ა
Answer:
x = 1/4
Step-by-step explanation:
−12x = − 3
Step 1: Divide both sides by -12.
-12x/-12 = -3/-12
Answer:
x = 1/4
4)Find the value of x and y
x=48, y=110
Explanation:
55-7=48
55+55=110
To solve the system of linear equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 by using the linear combination method, Henry decided that he should first multiply the first equation by –3 and then add the two equations together to eliminate the x-terms. When he did so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite number of solutions. To check his answer, he graphed the equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 with his graphing calculator, but he could only see one line. Why is this? because the system of equations actually has only one solution because the system of equations actually has no solution because the graphs of the two equations overlap each other because the graph of one of the equations does not exist
Answer:
Henry could only see one line because both equations have the same expression when simplified: y = 3/2x - 2.Source:
https://brainly.com/question/9764595Please help me.........
Answer:
8/15
Step-by-step explanation:
hope this helps!!! :D
Answer: 8/15
Step-by-step explanation: Tangent is opposite/adjacent
The hypotenuse, the longest side of a triangle which is 17. The adjacent side is the second longest which is 15. And the opposite is the shortest or the base of a triangle which is 8.
For the future, remember these:
Sin = opposite/hypotenuse
Cos = adjacent/hypotenuse
Tan = opposite/adjacent
Therefore, tan is 8/15.
Hope this helps.
What is:
9e−7=7e−11
Show Work
Answer: -2
Step-by-step explanation:
9e-7=7e-11
-7e -7e
2e-7=-11
+7 +7
2e=-4
/2 /2
e=-2
help! ignore pencil work! any comment with a link or answer that dosnt relate or i found out later that thats the wrong answer will be deleted! PLEASE SHOW WORK
Answer: x = 13, Angle ABE = 51°
Step-by-step explanation:
Since angle ABC is 90° and angle EBC is 39°, subtract them.
90° - 39° = 51°
This means that angle ABE equals 51°. Plug in 51° as the y in the equation y = 3(x+4).
51 = 3 (x + 4)
Multiply 3 by x and 4.
51 = 3x + 12
Subtract both sides by 12.
39 = 3x
Divide both sides by 3.
x = 13
Hard work problem please help me find the sum
-3 + -2 + -4 = -9
the total is -9
WHAT IS 12+23+67+10+19+60=
Answer:
The answer is 191.
Hope that helps. x
Answer:
191
Step-by-step explanation:
12+23=35
67+10=77
19+60=79
Now let's add all three numbers
35+77+79=191
Hope this helps!
Solve using substitution.
=
10x + 4y = -14
X = 1
-
Submit
Answer:
-6
Step-by-step explanation:
10x1 + 4y = -14
10+4y=-14
4y=-14-10
4y = -24
y = -24/4
y = -6
Check
Match the solution set given in inequality notation with the solution set given in interval notation.
17,88
(-0, 7.8)
7.8
(7.8,00)
> 7.8
[7.8,00)
V
7.8
(-0, 7.8)
The Matching of the inequality is
x ≤ 7.8 -> (-∞,7.8]
x < 7.8 -> (-∞,7.8).
x > 7.8 -> (7.8,∞)
x ≥ 7.8 -> [7.8,∞).
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
1. x ≤ 7.8
Here the value of is less than equal to 7.8 which means starting from -∞ to 7.8
Thus, the interval is (-∞,7.8]
2. x < 7.8
Here the value of is less than 7.8 which means starting from -∞ to less than 7.8.
Thus, the interval is (-∞,7.8).
3. x > 7.8
Here the value of is greater than 7.8 which means starting from 7.9 to ∞.
Thus, the interval is (7.8,∞)
4. x ≥ 7.8
Here the value of is greater than equal to 7.8 which means starting from 7.8 to ∞.
Thus, the interval is [7.8,∞).
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Pls po pahelpp ..... Kahit po paturo lng pra po matapos ko po
Answer:
ngee hirap Naman niyan sayang
Solve the following:
2x - 7 = x + 3
4 3
Answer:
x = 10
Step-by-step explanation:
2x - 7 = x + 3
=> 2x - 7 = x + 3
=> x = 10
Therefore, x = 10.
Hoped this helped.
Answer: x=350
Step-by-step explanation:
The tallest man living is 251cm. How many meters tall is he?
In meters he would 2.51 meters.
answer this as quick as possible
Step-by-step explanation:
For #1, if it says + you add the number of hours. Ex: Time in UTC 0 is 12:00, time in +3 is then 15:00 (3pm).
The same vice versa. Ex: Time in UTC 0 is 16:00 (4pm), in -2 it will be 14:00 (2pm).
For #2, +4 will be Friday at 22:00 (10pm) and for +7 it will be Saturday 1:00 (1am) etc.
Same for the - but it goes backwards
Hope that helps
Calculate the measure of angle ADB if angle ACB is 50 degrees.
Answer:
ADB=50°
Step-by-step explanation:
Angles subtended by the same segment are equal
Therefore,the angle ∠[tex]ADB=40[/tex] degree.
What are the angles?
An angle is a form of geometrical shape, that is constructed by joining two rays to each other at their end-points.
Here given that ∠[tex]ACB=50[/tex] degree and we know alternates angles are equal so ∠[tex]CAD=50[/tex] degree.
And [tex]AD[/tex] is parallel to [tex]BC[/tex].
Therefore, the diagonals of a rhombus are at right angled.
So, ∠[tex]AOD=90[/tex] degree
Now, In Δ[tex]AOD[/tex],
∠[tex]ADO+[/tex]∠[tex]DAO+[/tex]∠[tex]AOD=180[/tex] degree
∠[tex]ADO+50+90=180[/tex]
∠[tex]ADO=+140=180[/tex]
∠[tex]ADO=180-140[/tex]
∠[tex]ADO=40[/tex] degree
or
∠[tex]ADB=40[/tex] degree.
Hence, the angle ∠[tex]ADB=40[/tex] degree.
To know more about the angles
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PLS ANSWER
AND I WILL MARK AS BRAINLIST
Answer:
72
Step-by-step explanation:
Use PEMDAS to complete this equation properly. 3^2 = 9, 2^3 = 8. 9*8= 72..
Brainliest would be appreaciated! :-)
factor 6 out of [tex]6x^2[/tex] - 18
Answer:
See below
Step-by-step explanation:
6x² - 18 = 6*x² - 6*3 = 6(x² - 3)[tex]\\ \sf{:}\Rrightarrow 6x^2-18[/tex]
Take 6 common in order to factor out6x^2=6(x^2)18=6(3)[tex]\\ \sf{:}\Rrightarrow 6(x^2-3)[/tex]
Help would be appreciated!
Answer:
Half of AB which is A.F is 14 then the other half is 14 as well which would have a sum of 28, and since CD is congruent to AB that will also have a sum of 28 degrees.
(I don't know how to calculate the perimeter for the second question)
Answer:
Answer: 28
Step-by-step explanation:
A+F=14 * 2 for B and since they are congruent it would be 14*2 so 28.
i was wondering if u convert 38 inches to centimeters what would it be i told my teacher there is no correct answer for it
Answer:
96.52 cm
Step-by-step explanation:
Your teacher is incorrect, probably telling you this to avoid you wasting time
Answer:
96.52 cm
Step-by-step explanation:
1 inch is 2.54 cm
so 38 inch will be 2.54*38
96.52 cm
Plzzzzz helpnmeeee plzzzz
41 - 17=
i know it's 28 but i can't really do math
WILl GIVE BRAINLIEST IF YOU SHOW THE STEPS!!!
Answer:
[tex]\frac{9x}{y^3}[/tex]
Step-by-step explanation:
[tex]\frac{\left(3x^2y^4\right)^3}{3x^5y^{15}}[/tex]
[tex](3x^2y^4)^3 : 3^3x^6y^1^2[/tex]
= [tex]\frac{3^3x^6y^{12}}{3x^5y^{15}}[/tex]
[tex]\frac{3^{3} }{2} = 3^{2}[/tex]
= [tex]\frac{3^2x^6y^{12}}{x^5y^{15}}[/tex]
= [tex]\frac{x^{6} }{x^{5} } : x[/tex]
= [tex]\frac{3^2xy^{12}}{y^{15}}[/tex]
= [tex]\frac{y^{12} }{y^{15} } : \frac{1}{3{y} }[/tex]
= [tex]\frac{3^2x}{y^3}[/tex]
[tex]3^2=9[/tex]
= [tex]\frac{9x}{y^3}[/tex]
