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Mademuasel [1]
2 years ago
12

The sum of the first 15 terms of the sequence an=10n+21

Mathematics
1 answer:
enot [183]2 years ago
3 0
That is
the sum of all the terms from a1 to an when you are summing up n terms is n(a1+an)/2
so

find the 1st and 15th term
1st term is a1=10(1)=21=10+21=31
15th term is a15=10(15)+21=150+21=171

and n=15
15(31+171)/2=15(202)/2=3030/2=1515
the sum of the first 15 term is 1515
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X^2 = 30
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Oil is leaking from a broken pipeline into a lake. In the first 10 minutes, 400 gallons of oil have leaked, covering 8000 square
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Step-by-step explanation:

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What is the solution to this system of linear equations? 7x – 2y = –6 8x y = 3 (–6, 3) (0, 3) (1, –5) (15, –1)
erik [133]

Answer:

(0,3)

Step-by-step explanation:

we have

7x-2y=-6 ----> equation A

8x+y=3 ----> equation B

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Adds equation A and equation C

7x-2y=-6\\16x+2y=6\\--------\\7x+16x=-6+6\\23x=0\\x=0

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2 years ago
Read 2 more answers
A study was done to determine if students learn better in an online basic statistics class versus a traditional face-to-face (f2
mylen [45]

Answer:

1) 25

2) 3.507

3) 4.35

Step-by-step explanation:

Note: from the question, the number of F2F data is 15 not 12

1) for degree of freedom:

12 + 15 - 2 = 25

2) formula for standard error:

S_e_r = A/(sqrt*N)

But A is standard deviation. To find the standard deviation we use:

S.d = [sqrt*(E(xi - u)^2) / N]

Where xi = mean

u = individual data

Therefore

Mean = (60+100+95+80+67+88+76+86+90+95+91+100) / 12 =

1028/12 = 85.7

(xi -u)^2 =

(85.7-60)^2 = 660.49

(85.7-100)^2= 204.49

(85.7-95)^2 = 86.49

(85.7 - 80)^2 = 32.49

(85.7 - 67)^2 = 349.69

(85.7-88)^2 = 5.29

(85.7-76)^2 = 94.09

(85.7 - 86)^2 = 0.09

(85.7 - 90)^2 = 18.49

(85.7-95)^2 = 86.49

(85.7-91)^2 = 28.09

(85.7-100)^2 = 204.9

E(xi- u)^2 = 1771.09

S.d = sqrt*[(E(xi-u)^2)/N]

= sqrt*(1771.09/12)

= 12.149

So, standard error for online class=

S_e_r = 12.149/√12 = 3.507

3) We will use same method as in number two.

Mean= 1169/15 =77.93

S.d = √(4238.85/15) = 16.81

For standard error of F2F class:

S_e_r = 16.81/sqrt*15 = 4.35

Note: E represents summation here

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2 years ago
3-4(2k-5)=71 hurry please
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4 0
2 years ago
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