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ankoles [38]
3 years ago
9

What is the third term of the sequence defined by the recursive rule f(1)=3 f(n)=f(n-1)+4

Mathematics
1 answer:
snow_tiger [21]3 years ago
5 0
What is the third term of the sequence defined by the recursive rule f(1)=3 f(n)=f(n-1)+4

Need f(2):

f(2)=f(2-1)+4
f(2)=f(1)+4
f(2)=(3)+4=7

FIND f(3):
f(3)=f(3-1)+4
f(3)=f(2)+4
f(3)=(7)+4
f(3)=11
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Answer:

Step-by-step explanation:

Perimeter of quarter circle = r + r + \frac{1}{4}*2*\pi *r

            = 10 + 10 + \frac{1}{4}*2*3.14*10\\\\= 10 + 10 +  3.14*5\\\\\\= 10 + 10 + 15.70\\\\= 35.70 cm

2) d = 2*10 = 20 cm

Perimeter of semicircle = diameter + (1/2) * circumference of circle

                         = 20 +  \frac{1}{2}* 2*\pi *r\\\\= 20 + \frac{1}{2}*2*3.14*10\\\\= 20 + 3.14*10\\\\= 20 + 31.4\\\\= 51.40 cm

3) Perimeter of three-quarter =  r + r + (3/4)* circumference of circle

          = 10 + 10 + \frac{3}{4}*2*\pi *r\\\\= 10 + 10 + \frac{3}{4} * 2 * 3.14 * 10\\\\= 10 + 10 + 3 * 3.14 * 5\\\\= 10 + 10 + 47.1\\\\= 67.1 cm

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3 years ago
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Alex777 [14]

Answer:

the answer is 1

Step-by-step explanation:

the bottom says 6 and the other top says 7 so the only right answer is 1

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Kate Alexander worked 40 hours last week. Her pay rate is $8.50 per hour. Assuming 7.65% social security withholding, how much s
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3 years ago
In the July 2007 issue, Consumer Reports examined the calorie content of two kinds of hot dogs: meat (usually a mixture of pork,
kifflom [539]

Answer:

Since we FAIL to reject the null hypothesis, then if we construct an interval of 95% of confidence, the 0 should be included, because on the test hypothesis we conclude that there would be no significant difference between the means of the two groups analyzed, and the results obtained on the hypothesis test needs to be consistent with the confidence interval.

Step-by-step explanation:

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

\bar x_{meat}=111.7 represent the sample mean of calories for the meat hot dogs

\bar x_{beef}=135.4 represent the sample mean of calories for the beef hot dogs

The system of hypothesis on this case would be:

Null hypothesis: \mu_{meat}-\mu_{beef}=0

Alternative hypothesis: \mu_{meat}-\mu_{beef}\neq 0

On this case we have the p value obtained, after calculate the statistic and we got that p_v =0.124 if we select a 5% significance level \alpha=0.05 we see that p_v >\alpha and on this case we can FAIL to rejec the null hypothesis, so there is not a significant difference between the mean of the two tpes of hot dogs analyzed at 5% of significance.

And since we FAIL to reject the null hypothesis, then if we construct an interval of 95% of confidence, the 0 should be included, because on the test hypothesis we conclude that there would be no significant difference between the means of the two groups analyzed, and the results obtained on the hypothesis test needs to be consistent with the confidence interval.

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4 years ago
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