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:
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Each cube is 1.5 cm long. Calculate the surface area.
Answer:
13.5cm square
Step-by-step explanation:
A=l×w = 1.5×1.5=2.25cm square
SA=2.25×6=13.5cm square
The surface area of the cube is 49.5 cm². Thus, option C is correct.
What is cube?A cube is a three-dimensional solid object having six square faces, facets, or sides, three of which meet at each vertex. It is a hexagon when viewed from a corner, and its net is commonly portrayed as a cross. The cube is one of the five Platonic solids and the only regular hexahedron.
The surface area of a solid item is a measurement of the entire area occupied by the object's surface.
The surface area formula is six times the square of the length of the cube's sides. It is represented as 6a2, where is the cube's side length. It is, in essence, the whole surface area.
Area of Cube = side*side
= 1.5x1.5
=2.25cm²
A total of 22 surfaces are exposed. So, the surface area of the cube is,
=22* 2.25
= 49.5 cm²
Therefore, option C is correct.
Learn more about surface area here:
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Complete question is mentioned in the image below.
simplify the complex fraction 7/10 -2/5 then rewrite the complex fraction what's the answer please
Answer:
7/10-2/5 = 7/10 - 4/10 = 3/10
PLEASE ANSWER I WILL GIVE BRAINLIEST TO WHOMEVER ANSWERS FIRST
Answer
x to 0
10 to 350
hope that helps you:)
please mark me brainiest
tryna get 3 brainiest
what is 30 percent of 64?
Answer:
19.2
Step-by-step explanation:
I did the math by dividing the percentage and total
I
Tori had a $300 unpaid balance after last month's payment on her account. Her annual percentage rate is 21%. The minimum payment due is $25. How much of that is interest for one
month on the unpaid balance?
Answer:
After the passage of a month, the interest that Tori must pay will be $ 4.81.
Step-by-step explanation:
Given that Tori has an unpaid balance of $ 300 on her credit card, and that said credit card has an annual interest of 21% on the unpaid balances, considering that the minimum payment is $ 25, to determine how much she should pay after a month of After your debt, it is necessary to perform the following calculation:
12 = 21
1 = X
21/12 = X
1.75 = X
((300 - 25) x 1.75 / 100) + 300 = X
4.81 + 300 = X
304.81 = X
Thus, after the passage of a month, the finance charge that Tori must pay will be $ 4.81.
i think its c but im not sure
Answer:
Its B
Step-by-step explanation:
what is the partial product for 1,600 and 280
Answer:
Hope this helps!
Step-by-step explanation:
Answer:
Step-by-step explanation:
The density curve below represents the number of minutes Anastasia takes to go from her chemistry class to her Spanish class. у x 1 3 4 N What is the height of the density curve?
Answer:
0.5
Step-by-step explanation:
Answer:
0.5
Step-by-step explanation:
PLZ HURRY!!!!!!!
This lesson is about proportional relationships there are three different problems it’s due by three
Answer:
Set 1) A and B are proportional because it is in the form of y = kx
Set 2) B is proportional because it is a straight line passing through the origin
Set 3) B and C because it uses the equation y = kx
Pls help I will give brainless
Answer:
the answer is D. 38.15
Step-by-step explanation:
the lunch meat is 5.50 for 5lbs. She only needs 2 1/2 lbs so you would just divide 5.50 by 2 (because 2 1/2 is half of 5). for the soft drinks, it is 9.99 for 3 so each one 3.33 (divide 9.99 by 3). When you add two more to get five cases in total, you get 16.65 (because 9.99 plus 3.33 plus 3.33 = 16.65). the lunch meat is 4.25 each and you need 3 so you just multiply 4.25 by 3. the snack mix bags are 2 for 1.50 each. that means that two is 3.00. you need four so you just do 3.00+3.00 which equals 6. when you add these totals together, you get 38.15
what is the product of 3 2/3 and 14 2/5
Answer:
The answer is 52.8
Step-by-step explanation:
Also have a picture of calculator
Step-by-step explanation:
[tex] = \frac{32}{3} \times \frac{142}{5} [/tex]
[tex] = \frac{4544}{15} [/tex]
urgent please help!! serious answers only
Answer:
The blank is 37.
Step-by-step explanation:
Ok. So 67 + 76 = 143.
Next since all triangles should be 180°
We know that since 180 - 143 = 37 the last angle should be 37.
May I please have Brainliest?!?
- hermionia
At Royston's favorite clothing store, the cost of a pair of jeans is $4 more than twice the cost of a shirt. The cost of a pair of dress pants is $2 less than 2.5 times the cost of a shirt. If the cost of a shirt is s dollars and Royston purchased 1 pair of jeans and 1 pair of dress pants, which expression represents the total amount he spent in terms of s?
Answer:
[tex]s^{2} 2.5 + 2[/tex]
Step-by-step explanation:
Answer:
4.5s+2
Step-by-step explanation:
simplify the following expression 3 [(x^3-7x+1)-(x+4)]
Answer: 3x^3−24x−9
Step-by-step explanation: 3(x^3−7x+1−(x+4))
=(3)(x^3+−7x+1+−x+−4)
=(3)(x^3)+(3)(−7x)+(3)(1)+(3)(−x)+(3)(−4)
=3x^3−21x+3−3x−12
=3x^3−24x−9
90% of 20 is equal to
Answer:
18
Step-by-step explanation:
Answer:
18 percent
Step-by-step explanation:
take away the zeros multiply them and then boom
Mike Mowed 5 Lawns last week and 7 lawns this week and earned $180. He earned the same amount mowing each lawn. How much did Mike earns mowing each lawn?
Answer:
15
Step-by-step explanation:
HELP ASAP WILL GIVE 25 POINTS
using the order of operations, what should be done first to evaluate 8² + 10 (-5) (3) - 5?
A. Subtract 5 From 3.
B. Divide 10 by -5.
C. Add 6 and 10.
D. Evaluate 8².
Answer:
D
Step-by-step explanation:
You want to know about the dining habits of college students in the US. Since you do not have resources to survey all college students in the nation, you take a random sample of 1501. You learn that, on average, they eat out 4 times per week. Also, these sample data are generally distributed about the average of 4 times, by 1.5 times per week. 1. What is the average times per week that college students across the nation eat out
Answer:
the average times per week that college students across the nation eat out lies within these 95% confidence interval
[tex] 3.938 < \mu < 4.062 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 1501
The sample mean is [tex]\= x = 4[/tex]
The standard deviation is [tex]\sigma = 1.5[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 1.96 * \frac{1.5 }{\sqrt{1501} }[/tex]
=> [tex]E = 0.06196 [/tex]
Generally the estimate for average times per week that college students across the nation eat out at a 95% confidence is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
[tex]4 -0.06196 < \mu < 4 + 0.06196[/tex]
=> [tex] 3.938 < \mu < 4.062 [/tex]
Hence the true average times per week that college students across the nation eat out lies within this interval
Use this picture to answer the questions below.
Which model shows two equal expressions when the value of X is 4
Answer:
A
Step-by-step explanation:
A has 4 boxes with XS and the end result is 4 1s which add up to 4 Xs
Answer:
A
Step-by-step explanation:
What is the solution to this equation 2x + 10 equals 28
Answer:
X=9
Step-by-step explanation:
2X+10=28
-10 -10
2X=28
DIVIDE BOTH SIDES BY 2
In the image...i showed the work
Evelyn earns $8.00 per hour. How much does she earn in 4 hours?
Answer:
32 dollars
Step-by-step explanation:
Answer:
Evelyn earned $32.00 in 4 hours.
Step-by-step explanation:
To solve this question, just multiply 8 by 4.
8 x 4 =$32
Therefore, Evelyn earned $32.00 in 4 hours.
Hope this helps! :D
Which expression is equivalent to p.q.q.q.q.q.q.q.q.q?
Find the area of a circle with diameter 12 m.
Use the value 3.14 for n, and do not round your answer.
Be sure to include the correct unit in your answer.
Answer:
113.04m²
Step-by-step explanation:
Area of circle: [tex]\pi[/tex] × r²
Radius = [tex]\frac{diameter}{2}[/tex]
We can just apply the formula to the question:
Area of circle = 3.14 × ([tex]\frac{12}{2}[/tex])²
= 3.14 × 36
= 113.04m²
An endangered species of fish has a population that is decreasing exponentially (A=A 0 e^ H ) population years ago was 1,900 . Today, only 800 of the fish are alive. Once the population drops below 100the situation will be irreversibleWhen will this happenaccording to the model? (Round to the nearest whole year
Answer:
gftdtghhgjyggxfdhjhliij
Step-by-step explanation:
Mr.Harrison is reading a map to plan his vacation route. The map has a scale of 1 cm Equal 18 miles. He measure the length on the map for his vacation route to be 14 centimeters. What is the length of vacation route in miles?
Answer:
252 miles
Step-by-step explanation:
HELP ASAP "Steve's mom gives him 50$ to spend at the mall. He must but two new pairs of pants which each cost 19$ each. He can spend the rest at an arcade where each game cost 0.75
Which inequality can be used to determine the number (n) of arcade games Steve can play?
19 + 0.75n <50
19 + 0.75, n , <50
38 + 0.75n <50
38 + 0.75, n , <50
19 + 0.75n ≤50
19 + 0.75, n is less than or equal to, 50
38 + 0.75n ≤50
Answer:
bro i'm literally doing math homework right now and i don't know ANYTHING about it. so dude i def cant help u i'm sorry :')
Step-by-step explanation:
What is 0.2 , ( - 1.78)?
Answer:
-1.48
Step-by-step explanation:
I do 0.20+0.40=70+8+0.78+1=1.78
PLSSSS HELP WILL MARK BRAINLIESTTT
QUESTION 15
