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Bingel [31]
3 years ago
12

here are five rods a-1 a a a a+3 all measurements are in cm the total length of the five rods is l cm find a formula for l in te

rms of a write your formula as simply as possible
Mathematics
1 answer:
Elenna [48]3 years ago
5 0

Answer:

I=5a+2 (simplified form)


Step-by-step explanation:

I is the total length of all the 5 rods.

Each of the 5 parts lengths are (a-1), a, a, a, (a+3), respectively.


<em>We add all of them and equate it to I:</em>

I=(a-1)+a+a+a+(a+3)

<em>Simplifying this, we take like terms and add:</em>

<em>I=(a-1)+a+a+a+(a+3)\\I=5a-1+3\\I=5a+2</em>


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4 0
2 years ago
Random sample size of 81 are taken from an infinite population whose mean and standard deviation are 200 and 18, respectively. T
Ugo [173]

Answer:

the  mean and standard error of the mean are 200 and 2 respectively.

Step-by-step explanation:

Given that ;

the sample size n = 81

population mean μ = 200

standard deviation of the infinite population σ = 18

A population  is the whole set of values, or individuals you are interested in, from an experimental study.

The value of population characteristics such as the  Population mean (μ), standard deviation (σ) are said to be known as the population distribution.

From the given information above;

The sample size is large and hence based on the central limit theorem the mean of all the means is same as the population mean 200.

i.e

\mu = \bar \mu_x = 200

∴ The mean = 200

and the standard error of the mean can be determined via the relation:

\mathbf{standard \ error \ of \ mean = \dfrac{\sigma}{\sqrt {n}}}

\mathbf{standard \ error \ of \ mean = \dfrac{18}{\sqrt {81}}}

\mathbf{standard \ error \ of \ mean = \dfrac{18}{9}}

\mathbf{standard \ error \ of \ mean =2}

Therefore ; the  mean and standard error of the mean are 200 and 2 respectively.

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