Answer:
Game 1
Equal chance
Game 2
Step-by-step explanation:
A BETTER CHANCE OF WINNING
Each of the problems below describes two different games you can play with a random number generator. In each case, you will win if the random number generator gives you the indicated kind of number. Find the theoretical probability that you win each game below. Decide and justify whether Game I or Game II in each part, (a) through (c), gives you a better chance of winning.
Game I
a.Picking a prime number from the integers between 1 and 20
b.Picking a multiple of 5 from the integers between 1 and 20
c.Picking a multiple of 7 from the integers between 1 and 40
Hint:
Find the percent chance that each event will occur and compare the results.
a.Picking a prime number from the integers between 21 and 40
b.Picking a multiple of 5 from the integers between 1 and 40
c.Picking a multiple of 6 from the integers between 1 and 25
Answer:
Game 1
Equal chance
game 2
The table shows the amount of words Andrew and ella can text per second Andrew : 1 | _
7 | 21
28 | 84
Ella : 1 | _
4 | 14
16 | 56 who can type faster?
In words , explain how you know. PLEASEEEE HELP ME !
Ella can type faster than Andrew because the rate at which she types is faster than Andrew's rate by 0.5 text per second.
What is rate of change?In Mathematics, rate of change can be defined as a type of function that describes the average rate at which a quantity either decreases or increases with respect to another quantity.
In this scenario, we would determine the rate of change with respect to the amount of words that Andrew and Ella can type per second as a ratio. For the amount of words that Andrew can type per second, we have:
Andrew = 7/21 = 28/84 = 1/3 or 1:3.
For the amount of words that Ella can type per second, we have:
Ella = 4/14 = 16/56 = 1/3.5 or 1:3.5
Difference = 3.5 - 3
Therefore, we can logically conclude that Ella can type faster.
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30PTS 30PTS don’t explain just answer.
Answer:
y = 90°
Step-by-step explanation:
Khalil's birthday party costs $11, plus an additional $9 for each guest he invites. Is the total cost directly proportional to the number of guests?
Answer:
20, yes
Step-by-step explanation:
11+9=20
If he is charged $9 for each guest then it will make a huge impact to the number of guests.
Let f be a polynomial with integer coefficients, of degree n>1. What is the maximal number of consecutive integers belonging to the sequence f(1),f(2),f(3),...
The maximal number of consecutive integers by using the expression [tex]2*sqrt(n*|a|).[/tex]
Let f(x) = ax^n + bx^{n-1} + ... + z be a polynomial with integer coefficients and degree n>1. According to the theorem of Tchebychev, the maximal number of consecutive integers belonging to the sequence f(1),f(2),f(3),... is bounded by the expression 2*sqrt(n*|a|), where a is the coefficient of the highest degree term of f(x).
For example, let f(x) = 3x^3 + 4x^2 - 5. The coefficient of the highest degree term is 3, and the degree of the polynomial is 3. Therefore, the maximal number of consecutive integers belonging to the sequence f(1),f(2),f(3),... is 2*sqrt(3*|3|) = 6.
To calculate this maximal number, we can follow these steps:
Identify the degree of the polynomial, n.
Identify the coefficient of the highest degree term, a.
Calculate the maximal number of consecutive integers by using the expression 2*sqrt(n*|a|).
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The least common multiple of $1! 2!$, $2! 3!$, $3! 4!$, $4! 5!$, $5! 6!$, $6! 7!$, $7! 8!$, and $8! 9!$ can be expressed in the form $a\cdot b!$, where $a$ and $b$ are integers and $b$ is as large as possible. What is $a b$
By solving the given factorial question we get a+b=2538.
How does factorial work?In mathematics, the term "factorial" refers to the sum of all positive integers that are less than or equal to a specific positive integer, which is followed by an exclamation point. Thus, factorial seven is denoted by the symbol 7!, which stands for 1 2 3 4 5 6 7. Factorial 0 is equal to 1 by definition.
Solution:-
We can factor each of these numbers.1! + 2! = 1! ( 1 + 2 )
2! + 3! = 2! ( 1+ 3 )
3! + 4! = 3! ( 1 + 4 )
4! + 5! = 4! ( 1 + 5 )
5! + 6! = 5! ( 1 + 6 )
6! + 7! = 6! ( 1 + 7 )
7! + 8! = 7! ( 1 + 8 )
8! + 9! = 8! ( 1 + 9 )
Once again:
1! + 2! = 1! ( 3 )
2! + 3! = 2! ( 4 )
3! + 4! = 3! ( 5 )
4! + 5! = 4! ( 6 )
5! + 6! = 5! ( 7 )
6! + 7! = 6! ( 8 )
7! + 8! = 7! ( 9 )
8! + 9! = 8! ( 10 )
We can split the number into two parts, a! * bThe LCM of 1!, 2!, 3!, ... , 8! is 8!
The LCM of 3, 4, 5, ... , 10 is 2520
The LCM is 2520 * 8!
a = 2520
b = 8
a + b = 2528
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what is 8 1/4/d=2/11
[tex]8\frac{1}{4}d =\frac{2}{11}[/tex]
a) Simplify both sides of the equation.
[tex]\frac{33}{4}d=\frac{2}{11}[/tex]
b) Multiply both sides by 4/33.
[tex](\frac{4}{33} ) \times (\frac{4}{33}d)=(\frac{4}{33}) \times (\frac{2}{11} )\\[/tex]
d = [tex]\frac{8}{363}[/tex]
[tex]8\frac{1}{4} \div d=\frac{2}{11}[/tex]
= [tex]\frac{33}{4d} =\frac{2}{11}[/tex]
a) Cross Multiply.
[tex](33)\times(11)=2\times 4d[/tex]
[tex](363) =8d[/tex]
b) Flip.
[tex]8d=(363)[/tex]
c) Divide both sides by 8
[tex]\frac{8d}{8} = \frac{363}{8}[/tex]
[tex]d=\frac{363}{8}[/tex]
1. The accuracy of a pool thermometer is the positive difference between the temperature
reading on the thermometer t and the actual temperature of the pool p. Write two absolute
value expressions equivalent to the accuracy of a pool thermometer.
The two absolute value expressions equivalent to the accuracy of a pool thermometer are |t - p| and |p - t|
How to write absolute value expressions for the accuracy of the thermometer?Absolute value means to remove any negative sign in front of a number and to think of the number as positive. This is indicated by the vertical lines | |
Any expression that contain the vertical lines is called absolute
value expression
Since the accuracy of a pool thermometer is the positive difference between the temperature reading on the thermometer t and the actual temperature of the pool p.
We can write:
accuracy = | t - p|
OR
accuracy = | p - t|
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Answer:
It-pI
Step-by-step explanation:
Parker could pay for 45% of his college tuition with his scholarship. The remaining $10,500 he paid for with a student loan. What was the cost of Parker's tuition? Show your work
The cost of parker's tuition is $19,090.9
How to calculate the cost of parker's tuition?Parker could pay 45% of his college tuition with his scholarship
He paid for the remaining $10,500 with a student loan
Therefore the cost of parker's tuition can be calculated as follows
100% - 45%
= 55%
let y represent the cost of parker's tuition
55y/100= 10500
0.55y= 10500
y= 10500/0.55
y= 19,090.9
Hence Parker tuition cost is $19,090.9
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Eating at the all-you-can-eat buffet at your favorite restaurant currently costs $18.50, and increases in cost by 6% each year.
1. Write a function that correctly depicts this scenario.
2. How much will this buffet cost 10 years from now? Round your answer to the nearest cent.
3. How much did this buffet cost 15 years ago? Round your answer to the nearest cent.
The function of the scenario is f(x) = 18.5(1.06)^x
The cost 10 years from now is $33.13The cost 15 years ago is $7.72How to determine the function of the scenarioFrom the question, we have the following parameters that can be used in our computation:
Initial value = $18.50
Rate = 6%
The function of the scenario is then represented as
f(x) = Initial value * (1 + rate)^x
Substitute the known values in the above equation, so, we have the following representation
f(x) = 18.5(1 + 6%)^x
Evaluate
f(x) = 18.5(1.06)^x
How much will this buffet cost 10 years from nowThis means that
x = 10
So, we have
f(10) = 18.5(1.06)^10
Evaluate
f(10) = 33.13
How much did this buffet cost 15 years ago?This means that
x = -15
So, we have
f(-15) = 18.5(1.06)^(-15)
Evaluate
f(-15) = 7.72
Hence, the price is $7.72
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3. The difference between the digits in a two-digit numeral is 3. The units’ digit is twice the tens’ digit. Find the numeral.
Answer:
36
Step-by-step explanation:
let the number be 10x+y
x - y = 3 (eq 1)
given: y = 2x (eq 2)
putting 2 in 1
x - 2x = 3
-x = 3 (we can ignore the negative sign for now because we only need to find the absolute value)
y = 6
number is 36
I
Student council is selling personal pan pizzas to raise money for a field trip. They
make a profit of $1. 50 for each pizza they sell. If they already have $235, what is the
minimum number of pizzas must they sell in order to have at least $300?|
The minimum number of pizzas must they sell in order to have at least $300 is 44.
What is the profit?
The profit is defined as the amount gained by selling a product, and it should be more than the cost price of the product. In other words, the profit is a gain obtained from any business activities.
The student council needs to raise $300 - $235 = $65 to reach their goal.
They make a profit of $1.50 for each pizza they sell.
so they need to sell $65 / $1.50 = 43.333 pizzas to reach their goal.
As you cannot sell a fractional number of pizzas, they need to sell at least 44 pizzas to raise enough money for the field trip.
Hence, the minimum number of pizzas must they sell in order to have at least $300 is 44.
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How do you check if a trinomial is a perfect square trinomial?
The binomial equation can be squared to provide an expression that is a perfect square trinomial.
what is perfect square ?Perfect squares result from squaring an integer. One such example is the number 81, which is a perfect square since it can be derived by squaring 9: 99=81. 144 is a perfect square since it can be generated by squaring the number 12, which results in 12. 169 is a perfect square since it can be squared to produce the number 13. mathematics-specific language Informally: When an integer (a "whole") number, whether positive, negative, or zero, is multiplied by itself, the result is referred to as a square number, a perfect square, or simply "a square". Accordingly, all square numbers are 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on.
given
The binomial equation can be squared to provide an expression that is a perfect square trinomial.
If and only if a trinomial that takes the form ax 2 + bx + c satisfies the requirement b 2 = 4ac is considered to be a perfect square.
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−16−8≥0
How is it solved?
Answer:Subtract
8
from
−
16
.
−
24
≥
0
Step-by-step explanation:
Answer the following as the website for my hwk says I am incorrect:
a) 6/24 as its simplest form (I put 1/4)
b) 52.491 to 2 decimal places (I put 52.49)
c)how many 0.125m drinking straws are needed for a bridge which is 0.85m long (I put both 6.8 and 7)
d) 756.985 × 45 - 14.325 ( I put 34,050)
The lines represented by the equations y= -1/3x+2and 5y+15x=-40
The two lines are neither parallel nor perpendicular to each other.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that the two equations of the lines are y= -1/3x+2 and 5y+15x=-40.
y= -1/3x+2
5y+15x=-40.
5y = -15x - 40
y =-3x - 40/3
Here the slopes of the lines are,
m₁= -1 / 3
m₂ = -3
For the lines to be parallel the slopes should be equal and for the lines to be perpendicular the slopes should be inverse and reciprocal.
Here the slopes are neither equal nor have the inverse reciprocal.
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A rare Pokemon trading card deck you have been wanting to buy costs 4500. You have earned 2485 from helping your mom in her online selling business. If you can save 155 weekly from your allowance, how many weeks would it take for your funds to reach 4500
Answer:
POKEMON YEAH!
Okay, so you first want to take 2485, and subtract it from 4500, because that is the amount of money he has already collected.
4500 - 2485 = 2015
Now you need to find out how many time you can multiply 155, to get 2015, or higher. In this case, I am just gonna divide:
2015/155 = 13
It will take him 13 more weeks to have enough for the Pokemon cards!
Step-by-step explanation:
Hope it helps! =D
The joint and marginal pdf's of x = amount of almonds and Y = amount of cashews are
F(x,y) = fx(x) =
with fy(y) obtained by replacing x by y in fx(x). It is easily verified that Mu x = Mu y = A, and E(XY) = 2/ 5 Compute the correlation coefficient p for X and Y. P=
The correlation coefficient ρ for X and Y is ρ = -0.6675 in the given function.
What is correlation coefficient?The correlation coefficient is a statistical concept that aids in establishing a relationship between expected and actual values obtained through statistical experimentation. The calculated correlation coefficient's value explains why the difference between the predicted and actual values is so exact.
Correlation Coefficient value is always in the range of -1 to +1. A similar and identical relationship exists between the two variables if the correlation coefficient value is positive. Otherwise, it reveals how differently the two variables behave.
Pearson's correlation coefficient is calculated by taking the covariance of two variables and dividing it by the sum of their standard deviations. is typically used to represent it (rho).
The correlation coefficient is computed as,
[tex]$ \rho & =\frac{{Cov}(X, Y)}{\sqrt{V(X)} \times \sqrt{V(Y)}}[/tex]
[tex]$=\frac{-0.0267}{\sqrt{0.04} \times \sqrt{0.04}}[/tex]
= -0.6675
Thus, the correlation coefficient ρ for X and Y is ρ = -0.6675.
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What is the Average Rate of Change of the graph below from -5 < t < 8
Answer:47
Step-by-step explanation
5x+8-5-x=3
It keep show other questions
Answer:
x = 0
Step-by-step explanation:
5x+8-5-x=3
assuming you are looking for x5x + 8 - 5 - x = 3
4x + 3 = 3
4x = 0
x = 0
----------------------------
check5 × 0 + 8 - 5 - 0 = 3
8 - 5 = 3
3 = 3
the answer is goodA newsletter publisher believes that less than 68% of their readers own a Rolls Royce. Is there sufficient evidence at the 0.02 level to substantiate the publisher's
claim?
State the null and alternative hypotheses for the above scenario.
Null hypothesis (H0): The proportion of newsletter readers who own a Rolls Royce is greater than or equal to 0.68.
Alternative hypothesis (H1): The proportion of newsletter readers who own a Rolls Royce is less than 0.68.
What is the hypothesis?In statistics, hypothesis testing is the process by which an analyst tests an assumption about a population's parameter. Using sample data, hypothesis testing is performed to examine the plausibility of a theory.
In this scenario, we can set up the null and alternative hypotheses as follows:
Null hypothesis (H0): The proportion of newsletter readers who own a Rolls Royce is greater than or equal to 0.68.
Alternative hypothesis (H1): The proportion of newsletter readers who own a Rolls Royce is less than 0.68.
In order to determine if there is sufficient evidence to support the publisher's claim, we would need to conduct a statistical test to determine if the proportion of newsletter readers who own a Rolls-Royce is significantly less than 0.68. The significance level of 0.02 is used to determine the level of evidence required to reject the null hypothesis.
If we run a test, if the p-value is below 0.02, we can reject the Null hypothesis and conclude that the evidence is sufficient to show that the proportion of newsletter readers who own a Rolls Royce is less than 0.68, and thus the publisher's claim is substantiated.
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How to solve y-2=-2(x+3) when x equals -3
ALGEBRA 2 - Exponential and Logarithmic Functions
April invests $500 in an account that is compounded continuously at an annual interest rate of 5%. Approximately how many years will it take for April’s money to double?
Answer:
It will take approximately 14.2 years for April’s money to double.
Step-by-step explanation:
What does * mean after a word?
that usually means that word has a definition that will be given at the bottom of the page or in the glossary depending on what type of book or excerpt of text you have.
hope this helps!
What is the 2 step rule in math?
The Two steps equation in mathematics are the equations that can be solved within exactly two steps.
What is a Two Step Equation ?
The Two Step Equation are the algebraic problems that just take two steps to solve. It is a linear equation in one variable.
When solving the two step equation, we have to perform operation on both sides of the equation .
For Example : Solve [tex]2x+6=12[/tex] ;
Step1 : we Subtract -6 from both sides to isolate variable x.
⇒ [tex]2x + 6 - 6 = 12 - 6[/tex]
⇒ [tex]2x = 6[/tex]
Step2 : We Divide both the sides of equation by 2 and solve for x.
⇒ [tex]\frac{2x}{2} =\frac{6}{2}[/tex]
⇒ [tex]x = 3[/tex] ;
Therefore , the equation is solved in two steps .
The given question is incomplete , the complete question is
What is the two step equation in math ?
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Given the triangle, find the perimeter.
7x-4
3x² + 7x -1
5x²
Answer:
[tex]\text{Perimeter}=8x^2+14x-5[/tex]
Step-by-step explanation:
[tex]\text{Perimeter}=(7x-4)+(3x^2+7x-1)+(5x^2)\\\text{Perimeter}=7x-4+3x^2+7x-1+5x^2\\\text{Perimeter}=5x^2+3x^2+7x+7x-4-1\\\text{Perimeter}=8x^2+14x-5[/tex]
Student perform one trial of a cientific experiment if the reult of that trial do not upport the prediction what hould the tudent do next?
If the student perform one trial of scientific experiment , and the result of that trial do not support the prediction , then the student should repeat the experiment , modify the experiment and can use alternative Method .
If in the Scientific Experiment the result does not support the prediction of the student in one trial , then the student can :
(i) Modify the Experiment :
The students can modify scientific experiment in other way and try again. For Example, they student change variables being tested or methods used to collect data.
(ii) Use Alternative Explanations :
The students can use alternative explanations for results. It may be possible that the prediction was correct, but there were other factors that may influence outcome of experiment.
(iii) Repeat the Experiment :
The student can repeat the experiment by the same procedures to see if he gets same results and if results are consistent, it can concluded that the prediction was incorrect .
The given question is incomplete , the complete question is
Student perform one trial of a scientific experiment if the result of that trial do not support the prediction what should the student do next ?
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Given the picture below, where would point A’ be located after a dilation of 2 centered at point D (red point)
After dilation, the co-ordinate of point A will be (-4,4) while B will be (2,4) and of C will be (-2,0).
After dilation, how do you locate points?The distance between the point of dilation and the point you are dilating must be multiplied by three if the point you are dilating is directly above the point of dilation and you are dilating by 3. You inserted your new point there.
How can a point be widened by two?The x-value of each point will be multiplied by 2 to enlarge the image by a factor of two. The x and y values of each point will be multiplied by 2 to enlarge the figure by a factor of 2.
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I NEED HELPPPPppppppp
Check the picture below.
Help, please. 20 POINTS
Answer:
C. x=68 and y=112
Step-by-step explanation:
We can find that x=68 by adding 52 and 60 together which would get us 112. Then subtracting 112 from from 180 leaving us with our sum of 68, which means x=68. Then we find the value of y by adding the two interior angles on the opposite sides of the triangle. So 52+60=112. This makes y=112.
-Hope this helped
Answer:
x = 68
y = 112
Step-by-step explanation:
The interior angles of a triangle add to 180º.
Using this knowledge, we can solve for x:
52º + 60º + xº = 180º
↓ subtract 52º and 60º from both sides
xº = 180º - 52º - 60º
xº = 68º
x = 68
The interior and corresponding exterior angles of a triangle are supplementary (they add to 180º).
Using this knowledge, we can solve for y:
xº + yº = 180º
↓ substitute for solved x-value
68º + yº = 180º
↓ subtract 68º from both sides
yº = 112º
y = 112
A store sells AA batteries in packages of 10 batteries. They also sell boxes of 10 packages, cases of 10 boxes, and cartons of 10 cases. How many AA batteries are in one case? One carton? 10 cartons?
Solve these problems any way you choose.
1) 1000 AA Batteries in one Case.
2) 10,000 AA Batteries in One carton.
3) 100,000 AA Batteries in 10 cartons.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
The Store sells AA batteries in the order below:
⇒ 10 batteries in 1 packages
⇒ 10 packages in 1 box
⇒ 10 boxes in 1 case
⇒ 10 cases in 1 Carton
1) We want to determine how many AA batteries are in 1 Case;
Using Multiplication
Number of AA Batteries in 1 Case = 10 Batteries × 10 package × 10 box
= 1000 AA Batteries
2) We want to determine how many AA batteries are in 1 Carton;
From Part (a),
There are 1000 AA Batteries in 1 Case.
Since, There are 10 Cases in 1 carton.
Number of Batteries in 1 carton = 10 × 1000
= 10,000 AA Batteries
3) 10 Cartons
⇒ 1 carton = 10000 AA Batteries
Therefore, We get;
⇒ 10 Cartons = 10 × 10000
= 100,000 AA Batteries
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