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3 years ago

Find two consecutive even natural number whose product is 168

1 answer:

7 0

$2n(2n+2)=168\\
4n^2+4n-168=0\\
n^2+n-42=0\\
n^2+7n-6n-42=0\\
n(n+7)-6(n+7(=0\\
(n-6)(n+7)=0\\
n=6 \vee n=-7\\
-7\not \in \mayhbb{N}\\\\
2n=12\\
2n+2=14$

These numbers are 12 and 14.

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The weights of adult male birds of a certain species are normally distributed with a mean of 27.5 grams and a standard deviation

Korvikt [17]

Answer:

The z-score of a male bird of this species with a weight of 29.37 grams is 1.7.

Step-by-step explanation:

We are given that the weights of adult male birds of a certain species are normally distributed with a mean of 27.5 grams and a standard deviation of 1.1 grams.

Let X = weights of adult male birds of a certain species

So, X ~ Normal( $\mu=27.5,\sigma^{2} =1.1^{2}$ )

The z score probability distribution for normal distribution is given by;

Z = $\frac{ X-\mu}{\sigma } }$ ~ N(0,1)

where, $\mu$ = population mean weight = 27.5 grams

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SO, the z-score of a male bird of this species with a weight of 29.37 grams is given by;

Z score = $\frac{ X-\mu}{\sigma } }$ = $\frac{ 29.37-27.5}{1.1 } }$

= 1.7

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2 years ago

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Step-by-step explanation:

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3 years ago

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A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 6 inches.

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x=hours
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Yes it is a function because you can input the values

PART C:
Yes, it will still be a function but with a different different y value

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3 years ago