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Law Incorporation [45]
3 years ago
14

10. Using the following arithmetic sequence, find the 29th term: –36, –32, –28, –24.

Mathematics
1 answer:
Mashcka [7]3 years ago
8 0
<span>–36, –32, –28, –24  This is an arithmetic sequence because each term has the same difference from the preceding term, called the common difference, d...

-32--36=-28--32=-24--28=4  So 4 is d, the common difference.

The sequence of any arithmetic sequence has the form:

a(n)=a+d(n-1), a=first term, d=common difference, n=term number...in this case we have:

a(n)=-36+4(n-1)  

a(n)=-36+4n-4

a(n)=4n-40 so the 29th term is:

a(29)=4(29)-40

a(29)=116-40

a(29)=76

...

distance=velocity * time

d=vt  we want to find t so

t=d/v  and in this case:

t=234/70

t=(210+24)/70

t=3hr+(60*24)/70

t=3hr+20min+34sec so 

t≈3hr 20min

...

This is an arithmetic sequence...100,150,200...

The sum of an arithmetic sequence will always be the average of the first and last terms times the number of terms....

the rule for the sequence is:

a(n)=a+d(n-1),  a(n)=100+50d-50, a(n)=50n+50

Now we know the nth term is 50n+50, and we also know the first term is 100 so:

s(n)=n(100+50n+50)/2  and we want to know the sum of the first 10 terms so

s(10)=10(100+500+50)/2

s(10)=$3250

...

The first two terms are 2 and 4 so:

a(n)=2+2(n-1)

a(n)=2+2n-2

a(n)=2n

a(10)=20

...

You could do synthetic or long division, but you also could just use the fact that the factor being (x+8) should indicate a zero for the function when x=-8.  If f(x) could be divided by (x+8) the value of y(-8) would equal zero, however calculating y(-8)=-10  so that would be the remainder if you did the division.</span>
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I need help with number 2
alex41 [277]
First you have to figure out what IS 1/4 of 52, so all you need to do is put in your calculator 52 X .25 and get your answer

Then type in all of the four questions underneath into your calculator and chose the one that does NOT result in your original answer
3 0
3 years ago
Read 2 more answers
Suppose twenty-two communities have an average of = 123.6 reported cases of larceny per year. assume that σ is known to be 36.8
Delvig [45]
We are given the following data:

Average = m = 123.6
Population standard deviation = σ= psd = 36.8
Sample Size = n = 22

We are to find the confidence intervals for 90%, 95% and 98% confidence level.

Since the population standard deviation is known, and sample size is not too small, we can use standard normal distribution to find the confidence intervals.

Part 1) 90% Confidence Interval
z value for 90% confidence interval = 1.645

Lower end of confidence interval = m-z *\frac{psd}{ \sqrt{n} }
Using the values, we get:
Lower end of confidence interval=123.6-1.645* \frac{36.8}{ \sqrt{22}}=110.69

Upper end of confidence interval = m+z *\frac{psd}{ \sqrt{n} }
Using the values, we get:
Upper end of confidence interval=123.6+1.645* \frac{36.8}{ \sqrt{22}}=136.51

Thus the 90% confidence interval will be (110.69, 136.51)

Part 2) 95% Confidence Interval
z value for 95% confidence interval = 1.96

Lower end of confidence interval = m-z *\frac{psd}{ \sqrt{n} }
Using the values, we get:
Lower end of confidence interval=123.6-1.96* \frac{36.8}{ \sqrt{22}}=108.22

Upper end of confidence interval = m+z *\frac{psd}{ \sqrt{n} }
Using the values, we get:
Upper end of confidence interval=123.6+1.96* \frac{36.8}{ \sqrt{22}}=138.98

Thus the 95% confidence interval will be (108.22, 138.98)

Part 3) 98% Confidence Interval
z value for 98% confidence interval = 2.327

Lower end of confidence interval = m-z *\frac{psd}{ \sqrt{n} }
Using the values, we get:
Lower end of confidence interval=123.6-2.327* \frac{36.8}{ \sqrt{22}}=105.34
Upper end of confidence interval = m+z *\frac{psd}{ \sqrt{n} }
Using the values, we get:
Upper end of confidence interval=123.6+2.327* \frac{36.8}{ \sqrt{22}}=141.86

Thus the 98% confidence interval will be (105.34, 141.86)


Part 4) Comparison of Confidence Intervals
The 90% confidence interval is: (110.69, 136.51)
The 95% confidence interval is: (108.22, 138.98)
The 98% confidence interval is: (105.34, 141.86)

As the level of confidence is increasing, the width of confidence interval is also increasing. So we can conclude that increasing the confidence level increases the width of confidence intervals.
3 0
3 years ago
Can you help please on this question i am stuck
zhuklara [117]
The answer would be 360 :) do you have to show working?
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3 years ago
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Find the value of x and y
Yakvenalex [24]

Answer:

x = 80, y = 122

Step-by-step explanation:

I got this equation by using vertical angles to create a complimentary angle pair (they sum to 90 degrees).

3/4x+2/5x-2=90°,

23/20x - 2=90°,

23/20x = 92°,

92/(23/20)

20/(1/4)

20(4)

= 80.

Since the angles are a linear pair on the left side(they sum to 180 degrees). Just subtract 180 from 3/4x-2 and substitute x into the expression.

180-(3/4(x)-2), 180-3/4(80)+2 = 120+2 = 122

7 0
3 years ago
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What are distinct angles?
trapecia [35]
Distinct angles are when the angles of a polygon are all different.
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3 years ago
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