Find the difference. (2g^2+3g-8)-(5g+1)
1 answer:
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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.
<u><em>Let X = weights of adult male birds of a certain species</em></u>
So, X ~ Normal()
The z score probability distribution for normal distribution is given by;
Z = ~ N(0,1)
where, = population mean weight = 27.5 grams
= standard deviation = 1.1 grams
The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.
SO, the z-score of a male bird of this species with a weight of 29.37 grams is given by;
<u>Z score</u> = =
= <u>1.7</u>
Solutions
g(x) =
- 
x
g(x) = - <span> x +
x = -5
= </span>g(x) = - × (-5) + <span>
</span>
=
+ <span>
</span>
=
= 7
(-5,7)
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
x = 7
= g(x) = - × (7) + <span>
</span>
=
+ <span>
</span>
=
= -9
(-7,9)
x = (-7,9) y = <span>(-5,7)</span>
g(x) =
g(x) = - <span>
x = -5
= </span>g(x) = -
</span>
=
</span>
=
= 7
(-5,7)
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
x = 7
= g(x) = -
</span>
=
</span>
=
(-7,9)
x = (-7,9) y = <span>(-5,7)</span>