1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
svet-max [94.6K]
3 years ago
8

What is a1a1 in the sequence?

Mathematics
1 answer:
Eva8 [605]3 years ago
3 0
I dont know.....................
You might be interested in
Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.8. (Round your ans
Alenkinab [10]

Answer:

a) 0.011 = 1.1% probability that the sample mean hardness for a random sample of 17 pins is at least 51

b) 0.0001 = 0.1% probability that the sample mean hardness for a random sample of 45 pins is at least 51

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 normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes 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.

In this problem, we have that:

\mu = 50, \sigma = 1.8

(a) If the distribution is normal, what is the probability that the sample mean hardness for a random sample of 17 pins is at least 51?

Here n = 17, s = \frac{1.8}{\sqrt{17}} = 0.4366

This probability is 1 subtracted by the pvalue of Z when X = 51. So

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

By the Central Limit Theorem

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

Z = \frac{51 - 50}{0.4366}

Z = 2.29

Z = 2.29 has a pvalue of 0.9890

1 - 0.989 = 0.011

0.011 = 1.1% probability that the sample mean hardness for a random sample of 17 pins is at least 51

(b) What is the (approximate) probability that the sample mean hardness for a random sample of 45 pins is at least 51?

Here n = 17, s = \frac{1.8}{\sqrt{45}} = 0.2683

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

Z = \frac{51 - 50}{0.0.2683}

Z = 3.73

Z = 3.73 has a pvalue of 0.9999

1 - 0.9999 = 0.0001

0.0001 = 0.1% probability that the sample mean hardness for a random sample of 45 pins is at least 51

8 0
3 years ago
Will Mark as brainliest!<br><br> Which figure can be formed from the net?
Mandarinka [93]
I believe it is the first figure
5 0
3 years ago
Solve: -(6x+ 8) = 4(17 - x) *
Vlad1618 [11]

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

x = − 38

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is the equation of the line that passes through the points (-3,4) and (6,7)
inn [45]
Y=mx+b, m=(y2-y1)/(x2-x1)

m=(7-4)/(6--3)=3/9=1/3

y=x/3 +b, now use either point to solve for b, I'll use (6,7)

7=6/3 +b

7=2+b

b=5 so our line is:

y=x/3 +5 or more neatly...

y=(x+15)/3
6 0
3 years ago
Read 2 more answers
Write the equation of the line that contains the point (-2 , 5) and is perpendicular to the line y = 1/2x + 3
horrorfan [7]

Answer:

no iea sorry

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • Please HELP Provide the missing reasons for the proof. Given: ∠C ≅∠E Prove: ABC ~ DBE
    7·2 answers
  • Help Me quick please!!!
    14·2 answers
  • According to a U.S. news poll, 38% of students in the class of 2013 had done an internship during their time as an undergraduate
    7·1 answer
  • pls pls pls pls help :( im really bad at math and im trying so hard not to fail... i will mark brainliest!
    13·1 answer
  • Imagine you have a classmate who has never had an introduction to statistics in a math course. Explain to that person how the pr
    11·1 answer
  • Find the distance between two points (4, 5), (-4, -1)
    10·1 answer
  • Can someone tell me the answer to this?
    14·2 answers
  • An account manager for a local software agency believes there is a relationship between the number of contacts and the amount of
    12·2 answers
  • Please help I’ll give points
    8·1 answer
  • Transforming the graph of a function by shrinking or stretchingGraph (a)
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!