1.3.7Rock-paper-scissorsHave you ever played rock-paper-scissors (or Rochambeau)? It’s considered a "fair game" in that the two players are equally likely to win (like a coin toss). Both players simultaneously display one of three hand gestures (rock, paper, or scissors), and the objective is to display a gesture that defeats that of your opponent. The main gist is that rocks break scissors, scissors cut paper, and paper covers rock, which explored players’ choices in the game rock-paper-scissors.Suppose that you play the game with three different friends separately with the following results: Friend A chose scissors 100 times out of 400 games, Friend B chose scissors 20 times out of 120 games, and Friend C chose scissors 65 times out of 300 games. Suppose that for each friend you want to test whether the long-run proportion that the friend will pick scissors is less than 1/3.
Answers
Complete Question
The complete question is shown on the first uploaded image
Answer:
The correct option is C
Step-by-step explanation:
From the question we are told that
The number of outcome is 3 (rock paper and scissors)
The number of game you and the first friend played is a = 400
The number of times friend A chose scissors is b = 100
The number of game you and the second friend played is c= 120
The number of times friend B chose scissors is d = 20
The number of game you and the third friend played is e = 300
The number of times friend B chose scissors is f = 65
Generally the probability of success of each outcome is
[tex]p = \frac{1}{3} = 0.33[/tex]
Generally the probability of failure of each outcome is
[tex]q = 1-p[/tex]
=> [tex]q = 1-\frac{1}{3}[/tex]
=> [tex]q = \frac{2}{3} = 0.67[/tex]
Generally the proportion of scissors chosen by friend A is mathematically represented as
[tex]p_1 = \frac{b}{a}[/tex]
=> [tex]p_1 = \frac{100}{400}[/tex]
=> [tex]p_1 = 0.25[/tex]
Generally the proportion of scissors chosen by friend B is mathematically represented as
[tex]p_2 = \frac{d}{c}[/tex]
=> [tex]p_2 = \frac{20}{120}[/tex]
=> [tex]p_2 = 0.167[/tex]
Generally the proportion of scissors chosen by friend B is mathematically represented as
[tex]p_3 = \frac{f}{e}[/tex]
=> [tex]p_3 = \frac{65}{300}[/tex]
=> [tex]p_3 = 0.2167[/tex]
Generally the standardized value for friend A is mathematically represented as
[tex]z_1 = \frac{p_1 - p}{\sqrt{\frac{p* q}{a} } }[/tex]
=> [tex]z_1 = \frac{0.25- 0.33}{\sqrt{\frac{0.33* 0.67}{400} } }[/tex]
=> [tex]z_1 = -3.4[/tex]
Generally the standardized value for friend B is mathematically represented as
[tex]z_2 = \frac{p_2 - p}{\sqrt{\frac{p* q}{c} } }[/tex]
=> [tex]z_2 = \frac{0.167- 0.33}{\sqrt{\frac{0.33* 0.67}{120} } }[/tex]
=> [tex]z_2 = -3.8 [/tex]
Generally the standardized value for friend C is mathematically represented as
[tex]z_3 = \frac{p_3 - p}{\sqrt{\frac{p* q}{e} } }[/tex]
=> [tex]z_3 = \frac{0.2167- 0.33}{\sqrt{\frac{0.33* 0.67}{300} } }[/tex]
=> [tex]z_3 = -4.17 [/tex]
Answer: C
reason: There are special rules to follow when an expression is raised to the power of 0 or 1. Remember these rules when using numerical expressions involving the exponents 0 and 1:
Any number raised to the power 0 is equal to 1. For example, 120 is equal to 1 and 300 is equal to 1. However, this rule does not apply when 0 is the base: 0 raised to any power other than 0 is equal to 0, and 00 is not defined.
Any number raised to the power 1 is equal to the number itself. For example, 121 is equal to 12, 301 is equal to 30, and 01 is equal to 0
A numerical expression contains numbers and operations but not the equality symbol (=). Here are some examples of numerical expressions:
15 + 4 − 2
56 ÷ 7 + 5 × 5 × 5
32 × 5 + 7
Numerical expressions can also be written in words, such as "nine times six minus seven" and "five divided by ten plus two."
Look at the expression 56 ÷ 7 + 5 × 5 × 5. Instead of writing 5 three times in the expression, we can replace it with a whole-number exponent. For that, we write 5 × 5 × 5 as 53:
56 ÷ 7 + 5 × 5 × 5
56 ÷ 7 + 53.
Let's write 2 × 3 × 3 × 3 × 3 × 3 × 3 with a whole-number exponent. Here, 3 is multiplied by itself and occurs 6 times in the expression. Instead of writing 3 six times, we can write 3 × 3 × 3 × 3 × 3 × 3 as 36. So, 2 × 3 × 3 × 3 × 3 × 3 × 3 is the same as 2 × 36.
Related Questions
Ms. Barnes compared the latest grades of her students with the number of absences they had during the school year leading up to the test. The graph shows the results, with a line of best fit represented by the equation y = 11/3x + 92. 2. What is the y-intercept and what does it mean in terms of the situation ?
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Answer:
The y intercept is 92, this is because:
In slope intercept equations, it is formatted like:
y = mx + b
where y is the dependent variable and x is the independent variable
m is the slope
and b is the y - intercept
In terms of this situation, 92 means I think probably the start of their latest grades.
divide the number of meters by to find the number of laps
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Answer:
Solution for Divide the number of meters by to find the number of laps. Runners 3 4 Number of Laps 4. 8 12 Number of Meters 1600 3200 4800 6400 de the…
Step-by-step explanation:
Need help I’m stuck ABCD?
Answers
Answer:
c
Step-by-step explanation:
Exponent division rule: If base are same for any two variables, then subtract the powers.
[tex]\dfrac{a^{m}}{a^{n}}=a^{m-n}[/tex]
[tex]\dfrac{f^{6}h^{9}}{f^{3}h^{7}}=f^{6-3}h^{9-7}\\\\\\ =f^{3}h^{2}[/tex]
Find the surface area of a cube with edges 6.57 cm long.
sq cm.
The surface area of the cube is
(Type an integer or a decimal.)
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Answer:
258.9894 is the total surface area
Let f (t) be the number of people, in millions, who own cell phones t years after 1990. Explain the meaning of the following statement.
f (10) = 110.3
Answers
Answer:
10 years after 1990 (or in the year 2000) there are 110.3 million people who own cell phones.
Step-by-step explanation:
t= 10 years after 1990.
We are given that f(t) is # of people in millions who own cell phones.
f(10) = 110.3 implies in 10 years after 1990, there are 110.3 million people who owned cell phones.
Given that,
Let f (t) be the number of people, in millions, who own cell phones t years after 1990. To explain the meaning of the following statement, f (10) = 110.3
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
f (t) be the number of people, in millions, who own cell phones t years after 1990.
f(10) = 110.3
Implies,
In 10 years after 1990, there are 110.3 million people who owned cell phones.
Thus, f(10) = 110.3 implies in 10 years after 1990, there are 110.3 million people who owned cell phones.
Learn more about function here:
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paint store sells 4 pt of paint for $19.
Answers
The points in the table lie on a line. Find the slope of the line.
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Answer:
slope = 4
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (3, 10) ← 2 ordered pairs from the table
m = [tex]\frac{10-2}{3-1}[/tex] = [tex]\frac{8}{2}[/tex] = 4
The table shows success rates for two computer games sessions. Whose success rate changed the most between session 1 and session 2?
A. Alexis
B. Brent
C. John
D. None of them
Please show explanation I will mark brainliest :)
Answers
Answer:
B. Brent
Step-by-step explanation:
Let us turn the Session 2 scores into fractions so we have common units.
(John) 52% -> [tex]\frac{52}{100}[/tex]
(Alexis) 57.5% -> [tex]\frac{575}{1000}[/tex]
(Brent) 39.5% -> [tex]\frac{395}{1000}[/tex]
Now, we can simplify them.
(John I divide by 2) [tex]\frac{52}{100}[/tex] -> [tex]\frac{26}{50}=\frac{13}{25}[/tex]
(Alexis, I divided by 5) [tex]\frac{575}{1000}[/tex] -> [tex]\frac{115}{200} =\frac{23}{40}[/tex]
(Brent, I divided by 5) [tex]\frac{395}{1000}[/tex] -> [tex]\frac{79}{200}[/tex]
Now subtract Session 2 from Session 1 for each and figure out which one is the largest to answer the question.
(John) [tex]\frac{2}{3}[/tex] - [tex]\frac{13}{25}[/tex] = [tex]\frac{11}{75}[/tex] or about 0.146667
(Alexis) [tex]\frac{11}{20}[/tex] - [tex]\frac{23}{40}[/tex] = [tex]\frac{-1}{40}[/tex] or -0.025
(Brent) [tex]\frac{7}{10}[/tex] - [tex]\frac{79}{200}[/tex] = [tex]\frac{61}{200}[/tex] or 0.305
Since the absolute value of 0.305 is greatest, B. Brent has the largest success rate change.
find the percent change from 62 to 7
Answers
PLEASE SOLVE QUESTION 13 AND 14
DONT STEAL THE POINTS
Answers
Answer:
See below for solution.
Step-by-step explanation:
[tex]Q13)[/tex] [tex]\frac{\sqrt{11} - \sqrt{5} }{\sqrt{11}+\sqrt{5} }[/tex] = [tex]x - y\sqrt{55}[/tex]
LHS :-
= [tex]\frac{\sqrt{11} - \sqrt{5} (\sqrt{11}-\sqrt{5}) }{\sqrt{11}+\sqrt{5} (\sqrt{11}-\sqrt{5}) }[/tex]
= [tex]\frac{11-2\sqrt{55}+5 }{11 - 5}[/tex]
= [tex]\frac{16-2\sqrt{55} }{6}[/tex]
= [tex]\frac{2(8-\sqrt{55}) }{2(3)}[/tex]
= [tex]\frac{8-\sqrt{55} }{3}[/tex]
=> x = 8/3 and y = 1/3
=> Option B
[tex]Q14)[/tex] [tex]\frac{4}{216^{-2/3} }[/tex] + [tex]\frac{1}{256^{-3/4} }[/tex] + [tex]\frac{2}{243^{-1/5} }[/tex]
= 4 x (∛216)² + ([tex]\sqrt[4]256}[/tex])³ + 2 x ([tex]\sqrt[5]{243}[/tex])
= 4 x 36 + 64 + 2 x 3
= 144 + 64 +6
= 144 + 70
= 214
Carl wrote three numbers beetween 0.48 and 0.49, what numbers could carl have written
Answers
Answer:
0.481, 0.487653287..,. and 0.48953
Step-by-step explanation:
There is no way I could know what numbers Carl has writen because there is an uncountably infinite number of numbers Carl could have written. But if I had to guess it would be 0.481, 0.487653287... and 0.48953
Evaluate each expression if c = 3 and d = 7.
Part A) 6c+4−3d
Part B) 4(d−c)2+1
Part C) d2+5d−6
Answers
Answer:
Here you go! I hope this helps
a) (6(3))+4-(3(7))
answer: 1
b) 4(7-3)2+1 =
answer: 33
c) 7^2+5(3)−6
answer: 58
Pls I need help I will give brainliest!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
The equation of the circle with centre (5, 6) and radius = 3 is x2 +y2 - 10x - 12y + 52 = 0.
I believe this is the answer.
Bruno tried to find the quotient 7,128 and 24 but he got stuck. His work is shown attached
What is the first mistake Bruno made??
A. He incorrectly divided 71 by 24
B. He incorrectly multiplied 2 by 24
C. He incorrectly divided 232 by 24
C He incorrectly subtracted 192 from 232
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5. Find the length of the missing side. If necessary, round to the nearest tenth. 38, 34 on a triangle.
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Answer:
for your I'm pretty sure that it's 34
Joe deposited $2500 into a savings account earning 4% compounded monthly. If he makes no other deposits or withdrawal, how much will he have in the account in three years?
Answers
Answer:
2500=100
**. =4
2500×4/100=100
100×12 because 1 year have 12 months
then 3×1200=3600
[tex]~~~~~~ \textit{Compound Interest Earned Amount}[/tex]
[tex]A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2500\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &3 \end{cases} \\\\\\ A=2500\left(1+\frac{0.04}{12}\right)^{12\cdot 3}\implies A=2500\left( \frac{301}{300} \right)^{36}\implies A\approx 2818.18[/tex]
Consider the golfing situation described. Select at least one graph that you believe models the path of the golf
ball if the golfer makes a hole in one (when the golfer hits the ball into the hole in one shot).
100
(60, 80)
(60, 40)
50
(0,0)
(120,0)
(0,0)
(120,0)
150
100
a.
b.
(0.80)
(0,80)
(-120,0)
(120,0)
(-60, 0)
(60,0)
-100
100
50
C.
d.
d
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The answer is the last one. The one with (-60,0) (0,80) and (60,0)
fkfjfnfhfidhdhdud my ruebrddbdd by djdudn
Answers
Classify the following triangle as acute, obtuse, or right.
60°
60
609
A. Right
B. Obtuse
C. Acute
D. None of these
Answers
Answer:The answer Is C
Step-by-step explanation:
Acute
The triangle is shown an Acute triangle.
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
Angles are,
60°
60°
60°
Clearly, All angles are less than 90 degree.
Hence, The triangle is shown an Acute triangle.
Learn more about the angle visit:;
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2. Approximately 2% of the nation's children (about 1.7 million) have a parent who is in jail or prison. Let X be the number of children that have an incarcerated parent from a random sample of 100 children. (a) Verify that this is a binomial setting by identifying the four criteria in this problem. (b) Describe what P(X = 0) means in context. (c) Find P(X = 0) and P(X = 1). *
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Answer:
2% 2% of the nation's children (about 1.7 million) have a parent who is in jail or prison.
A house worth $350,00 when purchased was worth $335,000 after the first year and $320,000 after the second year. Assume the economy does not pick up and this trend continues.
(is this an arithmetic or geo sequence?)
Write an explicit formula for the sequence.
Answers
Answer: Arithmetic Sequence
The nth term formula is [tex]a_n = -15,000n + 365,000[/tex]
Delete the commas if needed.
=======================================================
Explanation:
Subtract each adjacent term like this
term2 - term1 = (335,000) - (350,000) = -15,000term3 - term2 = (320,000) - (335,000) = -15,000Each time we get -15,000 which is the common difference and helps show we have an arithmetic sequence.
The nth term formula can be found following these steps.
[tex]a_n = a + d(n-1)\\\\a_n = 350,000 + (-15,000)(n-1)\\\\a_n = 350,000 - 15,000n + 15,000\\\\a_n = -15,000n + 365,000\\\\[/tex]
If we plugged in n = 1, then we'd get,
[tex]a_n = -15,000n + 365,000\\\\a_1 = -15,000(1) + 365,000\\\\a_1 = -15,000 + 365,000\\\\a_1 = 350,000\\\\[/tex]
Showing the first term is $350,000 which is the initial value of the house.
I'll let you try the other values of n.
Plugging in n = 2 would lead to [tex]a_2 = 335,000[/tex]
Plugging in n = 3 would lead to [tex]a_3 = 320,000[/tex]
The perimeter of a rectangle is 72 yards. If we increase the length of the rectangle by 3 yards, what will the perimeter of the new rectangle be?
Plz show the work its for midterm.
Answers
Answer:
14.3
Step-by-step explanation:
72 divided by 3 equals 24, so we have 24 feet.
1 yard equals 3 feet.
3 yards equal 9 feet.
24+9= 43.
43 feet equal 14.3
Hope this helps! Sorry if it doesn't :(
Answer:
78 yards
Step-by-step explanation:
the perimeter is the outside of the shape, right? so you find the perimeter by adding all of the sides together.
if a rectangle's length is going up by 3, that means one pair of parallel sides are having 3 yards added to them. so essentially you have to add 3 yards twice
hopefully that makes sense! please consider brainliest! :)
(I need one more to move up a rank lol)
Can you answer this one please
Answers
first process is used in this expression
A teacher asked 23 students to close their eyes, then raise their hand up when they thought 60 seconds had elapsed. The results, in seconds, are shown below. 61 65 73 80 35 56 57 71 52 86 39 58 55 67 63 66 83 70 51 54 66 64 41 Which type of display— a stem-and-leaf plot or a line graph— is the most appropriate way to display this data? I need help ASAP
Answers
Answer:
Stem and leaf plot.
Step-by-step explanation:
The stem and leaf plot is the most appropriate way because it has lots of different values, and they can be grouped according to their tens place. Also, a line graph would have too many values in this situation to be feasible.
Please Answer ASAP
Jack biked to his friend house at a speed of 10 mph. When he was returning home it was raining. So he biked much slower - at 6 mph. What was Jack's average speed on the way there and back?
Answers
Answer:
7.5 mph
Step-by-step explanation:
Which of the following would describe Slope?
A Rise/Run
B The rate of change
C The steepness of a line
D All of the above
Answers
Answer:
D
Step-by-step explanation:
A 400-milliliter solution of a fabric dye contains 8 ml of hydrogen peroxide. What is the percent concentration of the hydrogen peroxide?
Answers
Answer:
Okay so all you need to know is the percentage of the hydrogen peroxide.
We know that the total solution is 400 ml and the hydrogen peroxide solution is 8ml.
8/400
Percent means out of a hundred, this can go multiple ways.
Way #1, benchmarking.
So 8/400 simplified is 1/50 or 2/100.
1/50 is basically 2/100.
And percent means out of a hundred so 2/100 is basically 2percent.
Way #2, proportions
We want to know the percentage of hydrogen/ fabric dye
If you put it in numbers int he same fraction and put “x” as the unknown 8ml hydrogen peroxide solution you’d get.
8/400 = x/100
X/100 because percent means out of a hundred.
Now solve3
Cross multiply,
800 = 400x
divide 400 on both sides
2=x
Now plug it back in the proportion.
8/400 = 2/100
If you simplify to check if they are equal then it’s correct
You invested a total of $9000 at 4.5% and 5% simple interest. During one year, the two accounts earned $425.
How much did you invest in each account?
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eg. the first loan is x, the second loan will be (9,000 - x)
First, we need to make an equation based on the problem
first interest + second interest = 492
5% of x + 6% of (9,000 - x) = 492
This is the equation
Second, solve the equation and find out the value of x (first loan)
0.05x + 0.06(9.000 - x) = 492
0.05x + 540 - 0.06x = 492
-0.01x + 540 = 492
-0.01x = 492 - 540
-0.01x = -48
x = -48/-0.01
x = 4,800
Third, find the second loan
9,000 - x
= 9,000 - 4,800
= 4,200
SUMMARY
The first loan that has interest of 5% is $4,800
The second loan that has interest of 6% is $4,200
pls help ASAP...
no links
Answers
1/12
The first option.
Answer: 1/12
Step-by-step explanation:
Multiply the top which is 2. Multiply the bottom which is 24. Simplified by 2 is 1/12.
A circle has a diameter of 10 yd. What is its circumference?
Answers
Answer:
The circumference of the circle is 31.4 yd.
Step-by-step explanation:
From the question,
We are to determine the circumference of a circle whose diameter is 10 yd.
The formula for calculating the circumference of a circle in terms of diameter is given as
C = πd
Where C is the circumference
and d is the diameter
From the given information
d = 10 yd
and π = 3.14
Putting the parameters into the formula
We get,
C = 3.14 × 10
∴ C = 31.4 yd
Hence, the circumference of the circle is 31.4 yd.