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polet [3.4K]
2 years ago
14

Find the 62nd term of the following sequence: (-21, – 27, - 33, - 39,...)

Mathematics
1 answer:
iris [78.8K]2 years ago
8 0

Answer:

-387

Step-by-step explanation:

First term (T1) = -21 = a

second term (t2) = - 27

common difference (d) = t2 - t1 = - 27 + 21 = - 6

Now

Tn = a + ( n - 1) d

T62 = - 21 + ( 62 - 1 ) - 6

= - 21 -366

= -387

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Commuting. there are two routes he could take to work. Aneighbor who has lived there a long time tells him Route Awill average 5
iren2701 [21]

Answer:

a)We are 95% confident that the average commuting time for route A is between 1.3577 and 4.6423 minutes shorter than the average committing time for rout B.  

(b) No, because the confidence internal does not contain —5, which corresponds with an average of 5 minutes shorter for route A.

Step-by-step explanation:

Given:  

n_1 = 20

x_1= 40

s_1 = 3

n_2 = 20

x_2= 43

s_2 = 2

d_f = 33.1

c = 95%. 0.95

(a) Determine the t-value by looking in the row starting with degrees of freedom df = 33.1 > 32 and in the column with c = 95% in the Student's t distribution table in the appendix:  

t\alpha/2 = 2.037  

The margin of error is then:  

E = t\alpha/2 *√s_1^2/n_1+s_2^2/n_2

E = 2.037  *√3^2/20+s_2^2/20

  = 1.64

The endpoints of the confidence interval for u_1 — u_2 are:  

(x_1 — x_2) — E = (40 — 43) — 1.6423 = —3 — 1.6423= —4.6423

(x_1 - x_2)  + E   = (40 — 43) + 1.6423 = —3 + 1.6423= —1.3577  

a)We are 95% confident that the average commuting time for route A is between 1.3577 and 4.6423 minutes shorter than the average committing time for rout B.  

(b) No, because the confidence internal does not contain —5, which corresponds with an average of 5 minutes shorter for route A.

3 0
3 years ago
(repost) Help Please I will Give brainliest If Correct!!
Eddi Din [679]

Answer:

There are about 7 x 10^6

Step-by-step explanation:

3.5*2029249= 7102347

rounds to 7000000= 7 x 10^6

6 0
2 years ago
Read 2 more answers
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KATRIN_1 [288]

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Explanation:

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= (8y^2 - 24y)/(2y^2 + 6y - 6y - 18)

= (8y^2 - 24y)/(2y^2 - 18)

= {8y(y-3)}/{2(y+3)(y-3)}

= 2 * 4y/{2(y+3)}

= 4y/(y+3)

4 0
2 years ago
ok, so, if i have one F in math, will i fail 6th grade? for references, i live in the Hillsborough county district (in florida)
olchik [2.2K]

Answer: I do not think that failing one class will effect your entire 6th grade year. Although, this is best discussed with your teachers or parents/guardians.

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2 years ago
Find the area of the regular polygon. Round your answer to the nearest hundredth.
mario62 [17]
The area is 289.22 units squared
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3 years ago
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