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Tcecarenko [31]
3 years ago
15

What is the 6th term of the geometric sequence where a1=625 and a2=-125

Mathematics
1 answer:
k0ka [10]3 years ago
5 0

Answer:

0.2

hope this helps

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Can somebody please help me with this question?
Aliun [14]

Answer:

120, 114, 126

Step-by-step explanation:

Since these are all exterior angles, they will all always add up to 360°. Since we know this, you can set up an equation and it would be x+(x+6)+114=360. When added you get 2x+120=360. Now subtract 120 on each side to get 2x equals 240. Then you divide by 2 and get that x is 120. Now all you have to do is plug x into the equations for the angles so they would be 120, 114, and 120+6 so 126. Now you have 120,114,and 126 as your angles. To check, just add all the angle measurements up and it should equal 360.

4 0
3 years ago
Read 2 more answers
Find the probability of each event.
jeka57 [31]

Using the binomial distribution, it is found that there is a 0.0108 = 1.08% probability of the coin landing tails up at least nine times.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • The coin is fair, hence p = 0.5.
  • The coin is tossed 10 times, hence n = 10.

The probability that is lands tails up at least nine times is given by:

P(X \geq 9) = P(X = 9) + P(X = 10)

In which:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 9) = C_{10,9}.(0.5)^{9}.(0.5)^{1} = 0.0098

P(X = 10) = C_{10,10}.(0.5)^{10}.(0.5)^{0} = 0.001

Hence:

P(X \geq 9) = P(X = 9) + P(X = 10) = 0.0098 + 0.001 = 0.0108

0.0108 = 1.08% probability of the coin landing tails up at least nine times.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

5 0
1 year ago
Given the sequence in the table below, determine the sigma notation of the sum for term 4 through term 15. N an 1 4 2 −12 3 36 t
Rzqust [24]

By applying basic property of Geometric progression we can say that sum of 15 terms of a sequence whose first three terms are 5, -10 and 2 is                    \sum_{n=4}^{15} 5(-2)^{n-1}$$  

<h3>What is sequence ?</h3>

Sequence is collection of  numbers with some pattern .

Given sequence

a_{1}=5\\\\a_{2}=-10\\\\\\a_{3}=20

We can see that

\frac{a_1}{a_2}=\frac{-10}{5}=-2\\

and

\frac{a_2}{a_3}=\frac{20}{-10}=-2\\

Hence we can say that given sequence is Geometric progression whose first term is 5 and common ratio is -2

Now n^{th}  term of this Geometric progression can be written as

T_{n}= 5\times(-2)^{n-1}

So summation of 15 terms can be written as

\sum_{n=4}^{15} T_{n}\\\\$\\$\sum_{n=4}^{15} 5(-2)^{n-1}$$

By applying basic property of Geometric progression we can say that sum of 15 terms of a sequence whose first three terms are 5, -10 and 2 is                    \sum_{n=4}^{15} 5(-2)^{n-1}$$  

To learn more about Geometric progression visit : brainly.com/question/14320920

8 0
2 years ago
Urgent math help needed!! Multiple choice question. Will mark brainliest!!!
muminat

Total number of 10 grader students = 260 students.

Total number of students who rides the bus and they are of 10th grader = 150 students.

Probability (a student rides the bus given that they are a 10th grader) =\frac{Total \ number \ of \ students \ rides \ the \ bus \ and \ 10th \ grader}{Total \ number \ of \ 10 \ grader \ students}

Therefore,

P(E) = \frac{150}{260}

Dividing top and bottom by 10, we get

P(E) = 15/26.

In decimals 0.577.

Therrefore, correct option is C) 150/260 = 15/26 = .577.

8 0
3 years ago
A factory received an order for 1,758 laptops. For the first 6 days, it produced 125 laptops per day. If it was asked to finish
BartSMP [9]

Answer:

  • 252 laptops

Step-by-step explanation:

Target number is 1758

<u>Produced in 6  days:</u>

  • 6*125 = 750

<u>Remaining to produce:</u>

  • 1758 - 750= 1008

Days left- 4

<u>Should produce per day:</u>

  • 1008/4 = 252 laptops
8 0
3 years ago
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