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Simora [160]
3 years ago
10

A8=21 a10=27 find nth term arthemetic sequence

Mathematics
1 answer:
Contact [7]3 years ago
8 0

Answer:

an = 3n - 3

Step-by-step explanation:

The nth term of an arithmetic progression is expressed as;

an = a + (n-1)d

a is the first term

n is the number of terms

d is the common difference

a8 = a + (8-1)d

a8 = a + 7d = 21 ....1

a10 = a+9d = 27 ....2

Subtract 1 from 2

7d  - 9d = 21 - 27

-2d = -6

d = -6/-2

d = 3

Since a + 7d = 21

a + 7(3) = 31

a + 21 = 21

a = 21 - 21

a = 0

Get the nth term

Recall that an = a + (n-1)d

an = 0 + (n-1)*3

an = 3n - 3

Hence the nth term of the sequence is 3n - 3

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Hannah claims that people who live in southern states spend 9 hours more per week outside than do people in northern states. She
vova2212 [387]

Answer:

b. Hannah is likely to be incorrect because 9 is not contained in the interval.

Step-by-step explanation:

Hello!

Hannah estimated per CI the difference between the average time that people spend outside in southern states and the average time people spend outside in northern states.

The CI is a method of estimation of population parameters that propose a range of possible values for them. The confidence level you use to construct the interval can be interpreted as, if you were to calculate 100 confidence interval, you'd expect that 99 of them will contain the true value of the parameter of interest.

In this example, the 99%CI resulted [0.4;8.0]hs

Meaning that with a 99% confidence level you'd expect the value of the difference between the average time people from southern states spend outside than the average time people from northern states spend outside is included in the interval [0.4;8.0]hs.

Now, she claims that people living in southern states spend 9 more hours outside than people living in northern states, symbolized μ₁ - μ₂ > 9

Keep in mind that if you were to test her claim, the resulting hypothesis test would be one-tailed

H₀: μ₁ - μ₂ ≤ 9

H₁: μ₁ - μ₂ > 9

And that the calculated Ci is tow-tailed, so it is not valid to use it to decide over the hypotheses pair. This said, considering that the calculated interval doesn't contain 9, it is most likely that Hannah's claim is incorrect.

I hope this helps!

6 0
3 years ago
3. Jada can bake 12 cookies in 20 minutes. How many cookies can she bake 1
vodka [1.7K]

Answer:

she can bake 216 cookies in 360 minutes

Step-by-step explanation:

3 0
3 years ago
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Anna makes 120 dolls each month to sell. This month, she increases the number of dolls she makes by 30%. How many dolls does Ann
scoray [572]
120 * .30 (30%) = 36
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4 0
3 years ago
Wat r partial products of 452×12
Dennis_Churaev [7]
400×10=4000
400×2=800
50×10=500
50×2=100
2×10=20
2×2=4

4000+800+500+100+20+4=5,424
Check answer by multiplying 452 and 12
452×12=5,424
5 0
3 years ago
-4(4-4v)-v=-2(-5v-2) answer
nalin [4]

Answer:

Step-by-step explanation:

-16-16v - v = 10v + 4

Add 16 to both sides and combine like terms giving you

15v = 10v + 20

Subtract 10v from both sides

5v= 20

Divide by 5

V=4

3 0
3 years ago
Read 2 more answers
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