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ahrayia [7]
2 years ago
9

How do you solve y=a(x-h)^2+k​

Mathematics
1 answer:
Alexxx [7]2 years ago
3 0
Yes i think thats right the person that did it above
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Identify the 12th term of the arithmetic sequence in which a7 = 40 and a18 = 106.
Lady_Fox [76]

we are given

airthematic sequence

we can use nth term formula

a_n=a_1+(n-1)d

n is number of terms

an is nth term

d is common difference

a1 is first term

We are given

a7=40

we can use it

a_7=a_1+(7-1)d

40=a_1+6d

a_1+6d=40

a18 = 106

a_1_8=a_1+(18-1)d

a_1+17d=106

we can subtract both equations

a_1+17d-a_1-6d=106-40

11d=66

d=6

now, we can find a1

a_1+6d=40

we can plug d=6

a_1+6*6=40

a_1=4

12th term:

a_1_2=a_1+(12-1)d

now, we can plug values

a_1_2=4+(12-1)*6

a_1_2=4+66

a_1_2=70

so, 12th term is 70...........Answer

3 0
3 years ago
A potato chip company produces a large number of potato chip bags each day and wants to investigate whether a new packaging mach
alexandr1967 [171]

Answer:

The conditions for the approximation have been met

Step-by-step explanation:

Random samples on both cases  and

p∧o proportion of bags packaged on the old machine that are damaged

p∧n sample proportion of bags packaged on the new machine that are damaged

p∧c  =  ( p∧o + p∧n ) / (nO + nN )  

p∧o = 15 %      p∧o =  0,15         nO = 150

p∧o *  nO = 0,15 *150          p∧o *  nO = 22,5

p∧n  = 8 %      p∧n  = 0,08     nN = 200

p∧n*nN  = 0,08 * 200     p∧n*nN  = 16

Both  p∧n*nN  and   p∧o *  nO    are bigger than 5

Therefore both samples are big enough for the approximation of the binomial distribution to normal distribution

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3 years ago
I don't even know where to start.
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