The answer is (2.5,7)
A chain letter starts when a person sends a letter to five others. Each person who receives the letter either sends it to five other people who have never received it or does not send it to anyone. Suppose that 10,000 people send out the letter before the chain ends and that no one receives more than one letter. How many people receive the letter, and how many do not send it out?
Answer:
50,001 people sent out the letter.
40,001 did not send it out
also can i get brainliest???
Step-by-step explanation:
780 people receive the letter before the chain ends.
9,220 people do not send out the letter.
We have,
In the given scenario, the chain letter starts with one person sending it to five others.
Each recipient of the letter has the option to either send it to five new recipients or not send it to anyone.
Let's analyze the chain letter progression:
The first person sends the letter to 5 recipients.
Each of those 5 recipients has the choice to send the letter to 5 new recipients or not send it.
If each of the 5 recipients sends the letter to 5 new recipients, we have a total of 5 x 5 = 25 new recipients.\
If any of the 5 recipients choose not to send the letter, they are out of the chain.
Now, we have 25 recipients who received the letter and have the same choice: send it to 5 new recipients or not send it.
If each of the 25 recipients sends the letter to 5 new recipients, we have a total of 25 * 5 = 125 new recipients.
If any of the 25 recipients choose not to send the letter, they are out of the chain.
This process continues until the chain ends.
To determine how many people receive the letter and how many do not send it out, we can observe the pattern:
After the first step, there are 5 recipients.
After the second step, there are 5 + (5 * 5) = 30 recipients.
After the third step, there are 5 + (5 * 5) + (5 * 5 * 5) = 155 recipients.
After the fourth step, there are 5 + (5 * 5) + (5 * 5 * 5) + (5 * 5 * 5 * 5) = 780 recipients.
We can see that the number of recipients follows a geometric progression with a common ratio of 5.
The formula for the sum of a geometric progression is:
[tex]Sum = a (r^n - 1) / (r - 1)[/tex]
Where:
a = initial term = 5
r = common ratio = 5
n = number of steps
We are given that the chain ends after 10,000 people send out the letter. Let's calculate the number of recipients:
[tex]Sum = 5 (5^4 - 1) / (5 - 1)[/tex]
= 5 (625 - 1) / 4
= 5 624 / 4
= 780
Therefore, 780 people receive the letter before the chain ends.
To find the number of people who do not send it out, we subtract the number of recipients from the total number of people who sent out the letter:
Number of people who do not send it out = Total number of people - Number of recipients
= 10,000 - 780
= 9,220
Therefore, 9,220 people do not send out the letter.
Thus,
780 people receive the letter before the chain ends.
9,220 people do not send out the letter.
Learn more about geometric sequence here:
https://brainly.com/question/2321576
#SPJ2
3f+2.9=4.4
Please help.
Answer:
f =0.5
Isolate the variable by dividing each side by factors that don't contain the variable.
______________________________
1.) Subtract 2.9 from both sides:[tex]2.9-2.9=[/tex] Cancels Out. [tex]4.4-2.9=1.5[/tex].- We subtract 2.9 from both sides because we need to get rid of any extra numbers on the opposite side of the equal sign. To do so, you do the opposite of what you see: We have a positive 2.9, so we subtract.
Equation at the end of Step 1:
[tex]3f=1.5[/tex].2.) Divide both sides by 3.[tex]3f[/tex] ÷ [tex]3=f[/tex].[tex]1.5[/tex] ÷ [tex]3=0.5[/tex].- We divide 3 from both sides because the 3 is attached to the variable and we need to get the variable alone. So to do so we have to divide by 3 on each side.
3.) Turn the decimal into a fraction: [tex]0.5=\frac{1}{2}[/tex].- 0.5 is equal to [tex]\frac{1}{2}[/tex] as a fraction.
______________________________
The null hypothesis for an ANOVA is that all treatments/samples come from populations with the same mean. The alternative hypothesis is best stated as:____________
Answer:
At least one of the population means is different from the others.
Step-by-step explanation:
ANOVA is a short term or an acronym for analysis of variance which was developed by the notable statistician Ronald Fisher. The analysis of variance (ANOVA) is typically a collection of statistical models with their respective estimation procedures used for the analysis of the difference between the group of means found in a sample. Simply stated, ANOVA helps to ensure we have a balanced data by splitting the observed variability of a data set into random and systematic factors.
In Statistics, the random factors doesn't have any significant impact on the data set but the systematic factors does have an influence.
Basically, the analysis of variance (ANOVA) procedure is typically used as a statistical tool to determine whether or not the mean of two or more populations are equal through the use of null hypothesis or a F-test.
Hence, the null hypothesis for an ANOVA is that all treatments or samples come from populations with the same mean. The alternative hypothesis is best stated as at least one of the population means is different from the others.
Last year 950 people attended a town's annual parade. This year 1,520 people attended. What was the percent increase in attendance from last year to this year?
Answer: 60% increase
Step-by-step explanation: look up calculator soup if you have more questions like this
15 points theres an image to help you guys out too i need it ASAP though.. please
Answer:
16
Step-by-step explanation:
8-1+9
7+9=16
the answer is=16
Answer:
16
Step-by-step explanation:
(8-1) = 7 + 9
= 16
D ......
Manuel ate lunch in 5 minutes. How many seconds is this?
Answer:
300 seconds
Step-by-step explanation:
1 minute= 60 seconds
5 x 60 = 300
Answer:
1 minute is 60 seconds, so 60 x 5 is 300. So your answer is 300 seconds
the temperature at 4 p.m. was -2 °c an hour later the temperature had decreased 3°c what was the temperature at 5:00 pm ?
Answer:
Step-by-step explanation:
3 degrees Celsius
It says at 4 p.m. was -2 degrees C. Then an hour later which would be 5 pm the temperature was 3 degrees C.
Polly buys 14 cupcakes for the party. the bakery puts them into boxes that hold 4 cupcakes each.
how many boxes will be needed for Polly to bring all the cupcakes to the party? Explain
Answer:
11 boxes
Step-by-step explanation:
14 didived by 4 is 10.25 so if you round you should get 11 .
Answer:
4, If you round.
Step-by-step explanation:
If you divide the 14 by 4, you get 3.5 and you can't really break the box in half.
So, you would have to use 5.
The surface area of a three-dimensional object is the sum of the area of the faces. If represents the length of the side of a cube, write a formula for the surface area S of the cube.
Answer:
S = 6e²
I don't know what variable you're using here.
Step-by-step explanation:
There are 6 faces on a cube and they are all the same. Because of this, 6 is the coefficient in this equation.
A square's area can be found by squaring the side length (Which I'll represent with e). So e² is the variable.
Thus, the equation is S = 6e²
A bank deposit paying simple interest at the rate of 8%/year grew to a sum of $1300 in 6 months. Find the principal. (Round your answer to the nearest cent.)
Answer:
$1,250
Step-by-step explanation:
The rate is 8%
= 8/100
= 0.08
Time is 6 months
= 1/2 year
Therefore the principal can be calculated as follows
Principal × (1+0.08(1/2) = 1300
Principal × 1+ 0.04 = 1300
Principal × 1.04= 1300
Principal= 1300/1.04
Principal = $1,250
Hence the principal is $1,250
LeShawn is arranging a display of shirts at a department store. He wants to dress two mannequins in different colored shirts
Answer:
ok so he needs to buy two different collored shirts
Step-by-step explanation:
Jared has $12.82 in his wallet, and $46.99 in his bank account.
Answer:
59.81 in all
Step-by-step explanation:
Please help me answer this:)
I will give you braisnlt
Answer:
B, E, F
Step-by-step explanation:
they are linear because there are no fractions or exponents
Answer:
B, E, F
Step-by-step explanation:
For a linear function, you can have x multiplied by a number, but you cannot have x multiplied by a variable. Also you can't have x in denominator or an exponent on x other than 1.
For a linear equation, y must equal a first degree polynomial or a constant.
Answer: B, E, F
What is the unit cost of the olives at Mangio's
Answer:
$6
Step-by-step explanation:
18/3=6
24/4=6
30/5=6
36/6=6
Select two ratios that are equivalent to 2:9
Choose 2 correct answers 40 points
Answer:
4:18 6:27 8:36
Step-by-step explanation:
As a manager, Mike uses linear programming (LP) to formulate a problem into a series of mathematical expressions. __________ refers to the choices or alternatives Mike selects to minimize or maximize the value of his goals.
a. Objective function
b. Decision variables
c. Optimization
d. Feasible region
Answer:
b. Decision variables
Step-by-step explanation:
The decision variable is the variable that decides that what would be the output. It presents the final solution.
Since in the given situation it is mentioned that the Mike uses linear programming for formulating a problem now the choices that chose for minimize or maximize the value would be the decision variables
Hence, the correct option is b.
Objective function is a function used in linear programming (LP) so as to maximize or minimize.
Linear programming are system of linear constraints used to optimize or solve a problem. The problem is being solved by selecting the variables that would be used to maximize or minimize the objective function from a list of several objective functions.
Find out more at: https://brainly.com/question/14161814
If the radius is 21 cm and the angle at
center of circle is 140° then the length of
the arc is ?
Step-by-step explanation:
Given: Radius , r =21 cm
The angle at the center of the circle, n° =140°
Length of an arc =?
W.K.T Formula, Length of an arc = 2πr( n°÷360°) units
= 2*(22/7)*21*(140°/360°)
= 154/3
= 51.33cm
Answer:
2*(22/7)*21*(140°/360°)
= 154/3
= 51.33cm
Step-by-step explanation:
Evaluate the following expression using the values given:
Find 5x − 3y − z if x = −2, y = 2, and z = −3
Answer: -13
Step-by-step explanation:
just substitute the letters for the numbers.
5(-2) - 3(2) -(-3)
then, remove the parenthesis.
-10 - 6 + 3
finally, just calculate it.
-13
What is the estimated sum of 2/5 + 13/20 ?
Answer:
1.05 as a fraction 21/20
Answer:
Step-by-step explanation:
the answer is 1
Find -8 1/4 divided (-2 5/12) write your answer as a mixed number in simplest form
Answer:
I believe the answer is 3 12/29
Juan pago $50.00 pesos por 3 cajas de paquetes y 5 cajas de clavos, mientras que Pedro compró 5 cajas de taquetes y 7 cajas de clavos y tuvo que pagar $ 74.00 pesos . ¿ Cual es el precio de cada caja de taquetes y clavos ?
a) ¿ Cuantas incógnitas hay en el problema ?
b) ¿ Cuántas ecuaciones puedes construir según el texto?
c) ¿ Cuales son esas ecuaciones?
PLEASE I NEED HELP WITH MATH
Answer:
117
Step-by-step explanation:
Hi, If you were to add 75 to 42, you would get 117. Since a triangle's angles all have to add up to 180, the last angle would be 63. However, you are looking for the outside angle, which would then just be 117. Hope this is right!
Please Help Friends !!!
Answer:
A=4 B=1 C=2 D=5 E=3
Step-by-step explanation:
Debra needs to make a total of 40 deliveries this week. So far she has completed 6 of them. What percentage of her total
deliveries has Debra completed?
1) The probability that an individual is left-handed is 12%. In a randomly selected class of 30 students, what is the probability of finding exactly 4 left-handed students?
2) Sixty-five percent of men consider themselves knowledgeable football fans. If 10 men are randomly selected, find the probability that exactly six of them will consider themselves knowledgeable fans.
Answer:
0.2047
0.2377
Step-by-step explanation:
1.
What we have here is a binomial distribution
Probability p = 0.12
N = number of students in the class = 30
Probability of finding 4 left handers
P(x = 4) = 30C4 x (0.12)⁴ x (0.88)²⁶
= 27405 x 0.00020736 x 0.03602047835
= 0.2047
2.
This is also a binomial distribution
N = 10 p = 0.65
P(of 6 knowledgeable fans)
= 10C6 x (0.65)⁶ x (0.35)⁴
= 210 x 0.0754189 x 0.01500625
= 0.2377
WILL MARK BRAINLIEST
what type of transformation is described by (x,y) —> (x+2, y+16)?
This transformation takes a vector (x,y) and maps it to the vector (x+2, y+16). In other words, it moves the X coordinate of the vector 2 units to the right, and the Y coordinate of the vector is moved 16 units upwards.
If you would take a set of points and apply this transformation, you would see the entire set moving upwards and to the right, with no stretching ou rotating. This type of transformation is called a translation transformation.
Plz help !!!!!! I don’t understand
At a sports event, Luke scored 8.65 points. Mel scored 9.2 points. How many more points did Mel score than Luke? * PLZ HELP
Answer:
0.55
Step-by-step explanation:
9.2-8.64=0.55
i hope it helps
59:41 To build the roof for a paper house, a rectangular paper is cut to form a trapezoid. Which diagram shows the correct cuts? Save and Exit Mark this and return Nes Submn K
Answer:
Step-by-step explanation:
wheres the diagram?
Answer:B
Step-by-step explanation:
solve (x – 3)2 = 81 quadratic equation
Answer:
x = 43.5 or x = 87/2
Step-by-step explanation:
(x - 3)2 = 81
2x - 6 = 81
2x = 87
x = 43.5