Fourth term of sequence is 216, sixth term 96

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Answer 1
Answer: 312 I think, hop[e this helps

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On a piece of paper, graph y = 2x - 3. Then determine which answer matches
the graph you drew.

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The graph would look like this...

Please answer ASAP............

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D because you can’t put a negative over a exponent

25-foot long board is to be cut into two parts. The longer part is one foot more than twice the shorter part. How long is each part?

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To solve this problem you must apply the following proccedure:

 1. You have that 25-foot long board is to be cut into two parts. Then, the first equation is:

 a+b=25

 2. 
The longer part is one foot more than twice the shorter part:

 a=1+2b

 3. The system of equation is:

 a+b=25
 a=1+2b

 4. When you solve it, you obtain:

 a=25-b

 25-b=1+2b
 25-1=2b+b
 24/3=b
 b=8 ft

 a=1+2(8)
 a=17 ft

the average mark of candidates in an aptitude test was 128.5 with a standard deviation of 8.2 . three scores extracted from the test are 148,102,152. What is the average of the extracted scores that are extreme values. ​

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Answer:

Step-by-step explanation:

Hello!

The variable of interest is

X: mark obtained in an aptitude test by a candidate.

This variable has a mean μ= 128.5 and standard deviation σ= 8.2

You have the data of three scores extracted from the pool of aptitude tests taken.

148, 102, 152

The average is calculated as X[bar]= Σx/n= (148+102+152)/3= 134

An outlier is an observation that is significantly distant from the rest of the data set. They usually represent experimental errors (such as a measurement) or atypical observations. Some statistical measurements, such as the sample mean, are severely affected by this type of values and their presence tends to cause misleading results on a statistical analysis.  

Using the mean and the standard deviation, an outlier is any value that is three standard deviations away from the mean: μ±3σ

Using the population values you can calculate the limits that classify an observed value as outlier:

μ±3σ

128.5±3*8.2

(103.9; 153.1)

This means that any value below 103.9 and above 153.1 can be considered an outlier.

For this example, there is only one outlier, that this the extracted score 102

I hope this helps!

the states of nature are defined so that they are which of the following, meaning that at least one state of nature must occur at a given time for a chance event? mutually exclusive optimistic outcomes collectively exhaustive certain events

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The states of nature must be mutually exclusive and collectively exhaustive.

The states of nature in decision theory are defined as mutually exclusive and collectively exhaustive, meaning that they are the only possible outcomes of a chance event, and only one of them can occur at a given time.

In other words, the states of nature represent all the possible outcomes of a chance event, and they are mutually exclusive because they cannot occur simultaneously. For example, if the states of nature are "rain" and "no rain," then either it will rain or it will not rain at a given time, but not both.

The term "collectively exhaustive" means that the set of states of nature includes all possible outcomes, so that there are no other possibilities beyond the ones listed. This ensures that the decision maker has considered all possible outcomes when making a decision.

To learn more about collectively exhaustive., visit:

brainly.com/question/28149426

#SPJ4

What sample size, including the 20 observations in the initial study, would be necessary to have a confidence of 95.44 percent that the observed time was within 4 percent of the true value?

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Completed question:

An initial time study resulted in an average observed time of 2.2 minutes per cycle, and a standard deviation of .3 minutes per cycle. The performance rating was 1.20. What sample size, including the 20 observations in the initial study, would be necessary to have a confidence of 95.44 percent that the observed time was within 4 percent of the true value?

Answer:

47

Step-by-step explanation:

When doing a statistic study, a sample of the total amount must be taken. This sample must be done randomly, and, to be successful, the sample size (n) must be determined, by:

n = ((Z_(\alpha/2)*S )/(E))^2

Where Z(α/2) is the value of the standard normal variable associated with the confidence, S is the standard deviation, and E is the precision. The confidence indicates if the study would have the same result if it would be done several times. For a confidence of 95.44, Z(α/2) = 2.

The standard deviation indicates how much of the products deviate from the ideal value, and the precision indicates how much the result can deviate from the ideal. So, if it may vary 4% of the true value (2.2), thus E = 0.04*2.2 = 0.088.

n = [(2*0.3)/0.088]²

n = 46.48

n = 47 observations.