All categories

3 years ago

Find the nth terms of the following Ap 100, 91, 82

Mathematics

1 answer:

Rom4ik [11]3 years ago

6 0

Answer:

The nth term is 109-9n

Step-by-step explanation:

Here, we want to find the nth term of the given arithmetic sequence

Mathematically, we have the nth term as;

Tn = a + (n-1)d

where a is the first term which is 100 in this case

d is the common difference which is the value obtained by subtracting the preceding term from the succeeding term; it is constant throughout the sequence

The value here is thus;

82-91 = 91-100 = -9

Substituting these values

Tn = 100 + (n-1)-9

Tn = 100 -9n + 9

Tn = 100 + 9 - 9n

Tn = 109-9n

You might be interested in

Drag the amounts to order them from greatest to least. 1qt=0.95L , 1gal =4qt, 1qt=2pt , Answers 3.8pt and 0.6gal and 1.9L

Sveta_85 [38]

0.6 gal, 1.9 L, 3.8 pt. If you all convert them to pint using google, this would be the order from greatest to least.

4 0

3 years ago

The mean lifetime of a tire is 48 months with a standard deviation of 7 months. If 147 tires are sampled, what is the probabilit

anyanavicka [17]

Answer:

0.9251

Step-by-step explanation:

z = (x-μ)/σ/√n where

x is the raw score

μ is the population mean

σ is the population standard deviation.

n is the random number of samples

(x-μ) = 0.83 months

σ = 7

n = 147

z = 0.83/7/√147

z = 0.83/0.5773502692

z = 1.43760217026

z ≈ 1.44

Determining the probability of the z score from the z table.

P(x<Z) = 0.92507

Approximately to 4 decimal places = 0.9251

5 0

3 years ago

I need help please and thanks

Zepler [3.9K]

Answer:

You have to multiply with Lengths. which is 13.5 or 35 or 99.00

Step-by-step explanation:

yxb

axc

5 0

3 years ago

Read 2 more answers

A TV show, Lindsay and Tobias, recently had a share of 20, meaning that among the TV sets in use, 20% were tuned to that show. A

kati45 [8]

Answer:

8.6% probability that none of the households are tuned to Lindsay and Tobias.

There is a 91.4% probability that at least one household is tuned to Lindsay and Tobias.

There is a 32.2% probability that at most one household is tuned to Lindsay and Tobias.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are watching the TV show, or they are not. This means that we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

In this problem we have that:

$n = 11, p = 0.20$

Find the probability that none of the households are tuned to Lindsay and Tobias.

This is P(X = 0).

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

$P(X = 0) = C_{11,0}.(0.20)^{0}.(0.80)^{11} = 0.086$

8.6% probability that none of the households are tuned to Lindsay and Tobias.

Find the probability that at least one household is tuned to Lindsay and Tobias.

Either no household is tuned, or at least one is tuned. The sum of the probabilities of these events is decimal 1. So

$P(X = 0) + P(X \geq 1) = 1$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.086 = 0.914$

There is a 91.4% probability that at least one household is tuned to Lindsay and Tobias.

Find the probability that at most one household is tuned to Lindsay and Tobias.

This is

$P(X \leq 1) = P(X = 0) + P(X = 1)$

$P(X = 1) = C_{11,1}.(0.20)^{1}.(0.80)^{10} = 0.236$

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.086 + 0.236 = 0.322$

There is a 32.2% probability that at most one household is tuned to Lindsay and Tobias.

8 0

3 years ago

Cathy received a gift of $2,000 to buy a new car when she graduates in a year. She decides to use this money to purchase stock i

Schach [20]

Answer:

a. No, because she will need money a year from now. Generally, stocks are long term investments. It is very unlikely that she will get a return on her investment in a year.

Step-by-step explanation:

Stocks are a riskier investment in comparison to bonds, and may pay higher interest rates, but still require the investment to "sit" for a long period of time. Like a 3 month (APY of about .50%), 6 month (APY of about .30%), 8 month (APY of about .10%), etc. bond, stocks will not grow considerably in a short amount of time.

7 0

3 years ago

Find the nth terms of the following Ap 100, 91, 82​

Find the nth terms of the following Ap 100, 91, 82