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2 years ago

Determine the sum of the first twenty five terms of the sequence whose first five terms are 5,14,23,32 and 41

Mathematics

1 answer:

Alika [10]2 years ago

5 0

Answer:

Step-by-step explanation:

This is an arithmetic sequence. Each term is 9 more than the preceding term.

The 25th term is 5+24*9 = 1085.

Sum of first 25 terms is 25(5+1085)/2 = 13625

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What is the square root of 9

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A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 436.0 gram setting. It

Vilka [71]

Answer:

We conclude that the machine is under filling the bags.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 436.0 gram

Sample mean, $\bar{x}$ = 429.0 grams

Sample size, n = 40

Alpha, α = 0.05

Population standard deviation, σ = 23.0 grams

First, we design the null and the alternate hypothesis

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We use one-tailed(left) z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{429 - 436}{\frac{23}{\sqrt{40}} } = -1.92$

Now, $z_{critical} \text{ at 0.05 level of significance } = -1.64$

Since,

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3 years ago

The population of a certain country since 1990 can be approximated by f(t)=0.008t2+2.1t+175 where f(t) is the population in mill

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Answer:

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Step-by-step explanation:

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3 years ago

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