Ron randomly pulls a pen out of a box that contains 1 red, 2 black, and 3 blue pens. He does
this 4 times, replacing the pen each time, but pulls out a blue pen only 1 time. Ron concludes
that the observed frequency of pulling a blue pen will eventually be closer to the expected
frequency based on the theoretical probability of pulling a blue pen. Which reasoning best
supports his conclusion?
Answers
Answer: A
Step-by-step explanation:
Ron's conclusion that the observed frequency will eventually be closer to the expected frequency is reasonable and supported by probability theory.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
The law of large numbers states that as the sample size increases, the observed frequency of an event will converge to the expected frequency based on the theoretical probability of the event. In this case, the expected frequency of pulling a blue pen is 3/6 or 1/2, which is based on the theoretical probability of pulling a blue pen.
Although Ron pulled a blue pen only 1 time in 4 trials, it is important to note that he replaced the pen each time.
This means that each trial was independent of the others, and the probability of pulling a blue pen in each trial remained the same at 3/6 or 1/2.
As Ron continues to repeat the trials and increase the sample size, the observed frequency of pulling a blue pen will become closer and closer to the expected frequency of 1/2, as predicted by the law of large numbers.
Therefore, Ron's conclusion that the observed frequency will eventually be closer to the expected frequency is reasonable and supported by probability theory.
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Related Questions
please write a function for the points (1/3,0) (-2 3/4,0) and (0,-5) and explain the steps.
thank you!
Answers
The function for the points are y = -15x - 5
How to determine the functionFrom the information given, we have that;
The points are;
(1/3,0) (-2 3/4,0) and (0,-5)
Using the point-slope form of a linear equation, we have;
y - y₁ = m(x - x₁)
Such that;
m is the slope of the liney - y₁ and (x - x₁) are the pointsUsing (1/3, 0) and (0, -5), we have that the slope is;
m = (0 - (-5))/0 -1/3)
expand the bracket
= 5 / (-1/3)
= -15
Now, take any of the given points and substitute the values
Using (1/3, 0), we get;
y - 0 = -15(x - 1/3).
y = -15x - 5.
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The function for the points solved by (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)
We have given the points:
(1/3,0) (-2 3/4,0) and (0,-5)
Using the formula of linear equation
\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)
Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)
that is 1/3 = \(a\), 0 = \(a_{1}\) and
0 = \(b\), -5 = \(b_{1}\)
\(x\) refers to the slope of line (take any variable)
Now for finding the value of \(x\),
\(x=a-a_{1}/b-b_{1}\)
inserting the values,
\(x=[0-[-5]]/[0-1/3]\\x= -15\)
Substitute the value of \(x\) in the equation
\(a-0=-15[b-1/3]\)
By simplifying the equation, we get
\(a=-15b-5\)
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Help please!!!
Thanks!
Answers
Answer:
The coordinates showing (0,0) shows that the cost of zero bags of caramel popcorn which is as well $0
Can you help me with this? NO LINKS!
Answers
Answer:
Step-by-step explanation:
A rectangular prism is shown below. What is the surface area, in square centimeters?
Answers
Answer:
174 square centimetres
Step-by-step explanation:
The formula for finding the surface area of a rectangular prism is
SA = 2LW + 2LH + 2HW
Therefore surface area will be
= 2(11*5) + 2(11*2) +2(2*5)
= 2 * 55 + 2 * 22 + 2 * 10
= (110 + 44 + 20) square cm
Which gives you 174 square centimetres.
can someone help with this pls? i don’t understand math at all
Answers
Answer:
It's the 4 one
Step-by-step explanation:
Ya 4 one sorry my bad I got it worng last time
A fruit juice recipe calls for 2 parts orange juice and 8 parts pineapple juice. Which proportion can be used to find the amount of orange juice, j, that is needed to add to 18 L of pineapple juice?
2 over 8 equals j over 18
8 over 2 equals j over 18
8 over j equals 2 over 18
16 over 18 equals j over 100
Answers
The correct proportion to use to find the amount of orange juice, j, needed to add to 18 L of pineapple juice is:
2/8 = j/18
This proportion relates the ratio of orange juice to pineapple juice in the recipe (2:8) to the amount of orange juice needed to add to 18 L of pineapple juice. By cross-multiplying, we can solve for j as follows:
2/8 = j/18
218 = 8j
36 = 8*j
j = 36/8
j = 4.5
Therefore, you would need to add 4.5 L of orange juice to 18 L of pineapple juice to create the fruit juice recipe that calls for a ratio of 2 parts orange juice to 8 parts pineapple juice.
Answer:
2 over 8 equals j over 18Step-by-step explanation
2 over 8 equals j over 18
This proportion represents the ratio of orange juice to pineapple juice in the recipe. By setting up the proportion, we can solve for the value of 'j,' which represents the amount of orange juice needed.
So, the correct proportion is:
2 over 8 equals j over 18
Guys plz i need help badly I don't understand. I need all answers plz plz plz plz plz plz im running out of points
Answers
Answer:
1. d
2. b
3. b
4. d
5. c
6. c
Unsure of how to do the second page, but this is all of the first!
pls help me... ill give brainly
Answers
Answer:
The correct answer is C
Step-by-step explanation:
Hope you got it right :)
Hope you get it right!
Can some please help me?
Answers
Answer:
ofc 8374747374743i3i3i383
5. 16t^4/8t^4
9. 6^3+6+4/6^2+3+3
THE ADDITION PART IS STILL EXPONENTS
I hope that was easy to understand, here’s a guide if you need it in the future
Find the value of c that will make the following two expressions equivalent to 4!!
The answer is 4, Our teacher gave us the answer but I need the work to show how she got it.
2a+10b-8-2(4a-6) and -6a+10b+c
Answers
Answer:
see below
Step-by-step explanation:
We are given 2 equations:
\(2a+10b-8-2(4a-6)\\-6a+10b+c\)
We are told to find c to make them equivalent, so we can make them equal to each other:
2a+10b-8-2(4a-6)=-6a+10b+c
To find c, we have to isolate it, here are the steps:
2a+10b-8-2(4a-6)=-6a+10b+c
subtract 10b from both sides
2a-8-2(4a-6)=-6a+c
rearrange left side
2a-2(4a-6)-8=-6a+c
distribute the positive 2 to the terms in parenthesis
2a-(8a-12)-8=-6a+c
distribute -1 to the terms in parenthesis
2a-8a+12-8=-6a+c
simplify
-6a+4=-6a+c
add -6a to both sides
4=c
Hope this helps! :)
HELP ASAP! I DUE SOON!
Answers
Answer:
80
Step-by-step explanation:
Write and solve a compound inequality to model the possible length of the dog run.The inequality to model the possible length of the dog run is;. 100 ≤ 2.50x ≥ 200And the possible length of the dog run is 80ft.Minimum spending = $100Maximum spending = $200Cost per square feet = $2.50 letx = possible number of square feetThe inequality:100 ≤ 2.50x ≥ 200This means possible number of square feet constructed is greater than or equal to $100 or less than or equal to $200solve:100 ≤ 2.50x ≥ 200divide the inequality into 2100 ≤ 2.50xx ≤ 100/2.5x ≤ 40the other part:2.50x ≥ 200x ≥ 200/2.50x ≥ 80
Therefore,the possible length of the dog run is 80 feet
negative 1 over 6 = 15 over 42 d
Answers
Answer:
its negative 5
Step-by-step explanation:
Is this a question or not? I cannot tell.
Pls help! Will give brainliest!!
Answers
Considering area (A) of garden as 30 square feet:
30 = x(2x+7)
Now we need to expand it:
x(2x+7) = 2x^2 + 7x
2x^2 + 7x = 30
Adding this into an Algebra calculator gives us 5/2 or 2.5
So x = 2.5
To prove this:
2(2.5) + 7 = 12
14 * 2.5 = 30
(2x+7) x = 30
you can distribute to make this easier
2x^2 + 7x = 30
you can plug this into quadratic formula by setting the equation =0, so:
2x^2 +7x -30 = 0
where 2x^2 = a
7x = b
and -30 = c
you can plug this into your calculator and get an answer of
X = 2.5
A submarine is exploring the Pacific Ocean. At 502.5 feet below sea level, the water temperature is 63 1/4°F. The submarine dives down 115 feet deeper, and the water temperature drops by 2 1/5 °F. What were the elevation and the water temperature after the submarine dove? Assume that sea level is at 0 feet of elevation.
Write an expression to represent the water temperature after the submarine’s final dive. Then simplify the expression to find the temperature.
Answers
Answer:
At the elevation 617.5 feet below the sea level temperature of the water was 61\frac{1}{20}°F
Step-by-step explanation:
At 502.5 feet below the sea level temperature of the water is 63\frac{1}{4}°F
When submarine dives down 115 feet deeper, water temperature drops by 2\frac{1}{5}°F
Elevation after the submarine dove = -502.5 - 115 = -617.5 feet
This negative sign represents the elevation below the sea level.
And the temperature will be = 63\frac{1}{4}-2\frac{1}{5}
= \frac{253}{4}-\frac{11}{5}
= \frac{1265-44}{20}
= \frac{1221}{20}
= 61\frac{1}{20}°F
Therefore, at the elevation 617.5 feet below the sea level temperature of the water was 61\frac{1}{20}°F
The required expression is y = 0.01x + 58.2. Where, x = level of sea and y = temperature. At 115 feet deeper temperature is 61 1/4°F.
A submarine is exploring the Pacific Ocean. At 502.5 feet below sea level, the water temperature is 63 1/4°F.
It is the relationship between sets of values. e g y=f(x),
Here, assume that relation ship between temperature and sea level is linear. So the expression can be calculated as y = - 0.01x + 58.2.
Since at 115 feet deeper from 502.5 temperature-
total sea level; = 502.5+115
= 617.5
Put it in expression
y = -0.01 * 617.5 + 68.2
y = 61.25
y = 61 1/4 °F
Thus, the required expression is y = 0.01x + 58.2. Where, x = level of sea and y = temperature. At 115 feet deeper temperature is 61 1/4°F.
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Consider the situations in the table below
Situation A: A hang glider descended 33.57 feet, and then ascended 14.98 feet.
Situation B: A football team gained 7 2/5 yards in one play, and then lost 3/5 of a yard in the next play.
Situation C: A hiker walked 3 1/6 miles yesterday and 2 1/2 miles today.
Situation D: A worker earned $23.66 Monday and spent $15.84 Tuesday.
Calculate the sum of each situation. Order the situations from least to greatest based on the numeric value of the sums.
Answers
Answer:
Step-by-step explanation:Situation A: The hang glider descended 33.57 feet and again ascended 14.98. So 33.57 - 14.98 = 18.58. So now the hang glider is at 18.58 feet
Situation B: Initially they gained 7 2/5 yards and then lost 3/5 yards.
7 2/5 yards can be written as 37/5. As they lost 3/5 yards, 37/5 - 3/5 = 34/5. So the remaining yards are 34/5 yards.
Situation C: Hiker walked 3 1/6 miles and then 2 1/2 miles. So the total distance is 3 1/6 + 2 1/2 = 5 4/6 miles.
Situation D: Total amount earned is $23.66 + $15.84 = $39.5.
Answer:
Step-by-step explanation:Situation A: The hang glider descended 33.57 feet and again ascended 14.98. So 33.57 - 14.98 = 18.58. So now the hang glider is at 18.58 feet
Situation B: Initially they gained 7 2/5 yards and then lost 3/5 yards.
7 2/5 yards can be written as 37/5. As they lost 3/5 yards, 37/5 - 3/5 = 34/5. So the remaining yards are 34/5 yards.
Situation C: Hiker walked 3 1/6 miles and then 2 1/2 miles. So the total distance is 3 1/6 + 2 1/2 = 5 4/6 miles.
Situation D: Total amount earned is $23.66 + $15.84 = $39.5.
Step-by-step explanation:
PLS ANSWER>>>>>> I NEED ANSWER NOW!!!!
Answers
Answer:
c) Punishments in the Code of Hammurabi were adjusted depending on the status of the perpetrator and the victim.
Step-by-step explanation:
The Code of Hammurabi reflected the social hierarchy of ancient Babylonia in that it differentiated punishments based on the social status of the perpetrator and the victim. For example, the code stipulated different punishments for crimes committed by a nobleman versus those committed by a commoner. This demonstrates that ancient Babylonian society was structured into a hierarchy, with different levels of privilege and responsibility assigned based on social status. The Code of Hammurabi, then, serves as a tangible expression of this social hierarchy, showing the ways in which the laws of the land reflected and reinforced existing power dynamics.
Answer: c
Step-by-step explanation:
What is the largest rational number which satisfies the inequality 2x≤ 7.
Step by step answer
Answers
Answer:
\(x\leq \frac{7}{2}\)
Step-by-step explanation:
To get this answer, you would need to divide 2 from both sides.
--
Since 2 can't go into 7 respectfully, it would remain 7 over 2 unless converted into a decimal which is 3.5 [Which would make the answer x ≤ 3.5]
--
Hence, the answer would be 7/2 as it's final answer
can someone pls help????
Answers
Answer:
option 3
Step-by-step explanation:
60% of the students in class are girls. If there are 15 girls, how many students are in class?
59
Answers
If 15 is 60% of a number, it is 3/5 of the whole. Since 5 goes into 25 5 times, and 5 goes into 15 3 times, 15 is the 3/5 of 25.
Last two answer for both or no brainleist
Answers
Answer:
IM NOT SURE BUT DO U GO TO GEM PREP
Step-by-step explanation:
0.564 is 15 answer
Help me pls it is very confusing
Answers
I will give brainiest to the first person to answer
Simplify the expression (combine like terms). 5(g - 4) + 6g + 11
Simplify the expression (combine like terms). 7(a - b) - 8(2a - b)
Answers
Answer:
Equation A:
5(g - 4) + 6g + 11
5g - 20 + 6g + 11
11g - 20 + 11
11g - 9
Equation B:
7(a - b) - 8(2a - b)
7a -7b - 16a - 8b
-9a - 7b - 8b
-9a - 15b
Have an amazing day!!
Please rate and mark brainliest!!
5(g-4) + 6g+11
(5 x g) + (5 x -4) + 6g + 11
5g-20+6g+11
Combine Like Terms:
(5g + 6g) + (-20+11)
11g-9
Equation 2:
7(a-b)-8(2a-b)
(7 x a) + (7 x -b) + (-8 x 2a) + (-8 x b)
7a-7b-16a-8b
(7a-16a) + (-7b-8b)
23a-15b
can anyone help we with this?
Answers
Answer:
There are 2 symmetry lines of a rectangle which are from its length and breadth.
Step-by-step explanation:
These two lines cut the rectangle in two similar halves which are mirror images of each other. If a rectangle is folded along its line of symmetry, it superimposes perfectly.
Diego has 4848 chocolate chip cookies, 6464 vanilla cookies, and 100100 raisin cookies for a bake sale. He wants to make bags that have all three cookie flavors while making sure that each bag has the same of each flavor as the last.
Answers
Answer:
The greatest common factor of 48, 64, and 100 is 8. This means that Diego can put 8 chocolate chip cookies, 8 vanilla cookies, and 8 raisin cookies in each bag. He will have a total of 48/8 = 6 bags of cookies.
Step-by-step explanation:
If a train travels a mile every 2.5 minutes, how many miles would it go in 3?
Answers
Answer:
7.5
Step-by-step explanation:
2.5 x 3 = 7.5
The area of a triangle is 12.5 square feet and the height is 6 feet. Determine the base of the triangle. (round to the thousandths place)
*
A=1/2bh OR A=(bh)/2
Answers
Jamal owns a parking garage and is trying to find the relationship between hour of the day and number of cars in the garage. He finds that between 4 am and 10 am he can model this with a linear relationship. The equation for this model is y = 3.96x + 2. How many cars were in the garage at 4 am.
A) 1
B) 2
C) 3
D) 4
Answers
Given the equation the slope is the rate of car enters the garage.
So it is 3.96 about
C.) 4 cars per hour
The box plots shown represent the average mileage of two different types of cars. Use the box plots to compare the data sets.
Drag each value to show if it is greater for SUVs, greater for sedans, or if there is not enough information to tell.
Answers
Answer:
Step-by-step explanation:
A cereal box has a height of 32 centimeters. It has a base with an area of 160 square centimeters.
What is the volume, in cubic centimeters, of the cereal box?
A colored spinner with eight equal sections is given.
Using the fair spinner, determine P(less than 6) when the spinner is spun once.
0.125
0.25
0.625
0.875
Answers
Answer:
The probability of landing on less than two sections when the spinner is spun once is 0.25.
Derek wants to practice playing the guitar for 9 hours in 8 days. Which of the following statements match the given ratio for guitar practice?
A.
32 hours in 36 days
B.
30 hours in 28 days
C.
27 hours in 24 days
D.
36 hours in 26 days
Answers
Answer:
The answer is C.
Reasoning:
No other numbers match up but D)
When you divide 24 by 8 you get 3 and 3 times 9 is 27
Answer:
D.Reasoning
Step-by-step explanation: