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Anit [1.1K]
3 years ago
8

Find the 12th term of the arithmetic sequence 2a - b, 3a - 2b, 4a - 3b​

Mathematics
2 answers:
slega [8]3 years ago
5 0

Answer:

13a - 12b

Step-by-step explanation:

That is what the 12th ter m of the arithmetic sequence is

Alina [70]3 years ago
3 0

Answer:

the 12th term of the arithmetic sequence would be 13a - 12b

Step-by-step explanation:

as you can see from the sequence, it goes up by 1. 2a - b became 3a -2b as an example.

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The fracture strength of tempered glass averages 14 (measured in thousands of pounds per square inch) and has standard deviation
Wewaii [24]

Answer:

0.1587 = 15.87% probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.2.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The fracture strength of tempered glass averages 14 (measured in thousands of pounds per square inch) and has standard deviation 2.

This means that \mu = 14, \sigma = 2

Sample of 100:

This means that n = 100, s = \frac{2}{\sqrt{100}} = 0.2

What is the probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.2?

This is 1 subtracted by the p-value of Z when X = 14.2. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{14.2 - 14}{0.2}

Z = 1

Z = 1 has a p-value of 0.8413.

1 - 0.8413 = 0.1587

0.1587 = 15.87% probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.2.

6 0
3 years ago
I really need help!Please help me!
solniwko [45]

Answer:

Photomath

Step-by-step explanation:

It looks like someone else is answering this for me so I'll just give ya a nudge. In the future as long as you can put it into an equation Photo math helped me a lot in Middle and Highschool.

5 0
3 years ago
Which one of the following functions is an exponential decay function?
stepan [7]

Answer:

D

Step-by-step explanation:

Its decaying since its being multiplied by by a number less than 1

6 0
2 years ago
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gabrielle has $0.55 in dimes and nickels. She has 6 coins altogether. how many coins of each kind does she have?
elena-s [515]

the answer is 5 dimes and 1 nickel.

hope this helps <3

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3 years ago
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In ΔQRS, q = 6.8 inches, r = 1.9 inches and ∠S = 141° . Find the length of s, to the nearest 10th of an inch
Jobisdone [24]

c = 141   s =

150 inch

4 0
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